Acknowledgements
Academic Authors: Muskan Panjwani, Svetlana Drobysheva
Creative Directors: Alena Sizintseva
Book Production: Aleksandra Nazarova, Larisa Pavlenko, Anastasia Shnip
All products and brand names used in this book are trademarks, registered trademarks or trade names of their respective owners.
© Uolo EdTech Private Limited First edition 2026
This book is sold subject to the condition that it shall not by way of trade or otherwise, be lent, resold, hired out, or otherwise circulated without the publisher’s prior written consent in any form of binding or cover other than that in which it is published and without a similar condition including this condition being imposed on the subsequent purchaser and without limiting the rights under copyright reserved above, no part of this publication may be reproduced, stored in or introduced into a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission of both the copyright owner and the abovementioned publisher of this book.
Book Title: DinoLab Math Smartbook 4
ISBN: 978-93-89789-43-0
Published by: Uolo EdTech Private Limited
Corporate Office Address:
91Springboard, 3rd Floor
145, Sector 44, Gurugram, Haryana 122003
CIN: U74999DL2020PTC360472
Printed by: Printpro Solutions
All suggested use of the internet should be under adult supervision.
How to get access to DinoLab
Get access to animated interactive courses, Marathons, Olympiads, and much more — all in the Uolo Learn app!
1.Download the "Uolo Learn" app from Google Pay (Android) or AppStore (iPhone).
2.In the app click scanner to scan the QR code below
Class:
Name:
School:
3.Follow the instruction in the app to access the content.
Welcome to DinoLab!
DinoLab is an AI-powered self-learning platform that helps children learn Mathematics and other subjects step by step, at their own pace. Students can practise and revise every topic digitally and through printed Smartbooks.
The DinoLab Mathematics Smartbook is a companion to the digital course. Each exercise has a QR code linking to the Uolo Learn app for continued practice.
Using AI, DinoLab creates a personalised learning path: it explains the concept, gives guided practice, and adapts if mistakes occur — helping students gain clear understanding.
Digital content is presented as interactive flashcards with 50,000+ gamified exercises and animations, making learning engaging and enjoyable.
DinoLab works in Uolo apps and on multiple devices
To use DinoLab on the web, Smartboards, and in computer labs, your school will receive special access for each student and teacher.
Uolo Mobile App SmartboardComputer Lab Smartbooks Tablet and Laptop
How to Use the DinoLab Solution
Once the Uolo Learn app is installed and you are logged in, you can access DinoLab. Our Mathematics course is designed with interactive exercises that help children cover the school syllabus step by step, at their own pace.
Compete and win in Marathons!
• Solve problems and earn points
• Leaderboards of your class, school and all of India
• Get achievement certificates
In this Smartbook, you will find QR codes placed next to the exercises. Simply use the QR scanner inside the app to access the interactive content. QR codes in the Smartbook
1 2 3
1. NUMBERS UP TO 6 DIGITS
NUMBERS BEYOND 9999
1. Label the place columns.
2. Circle the number that matches the description.
One in ten thousands place
780,314
3.Let’s remember base-ten bundling.
Write in words:
7,80,314
Write
Fill both charts for 543216.
Write in words:
4. Write in words 875,432.
International:
Indian:
5. Write in words (International): 406,090; then write in Indian system.
6. Write the numeral for «five hundred forty-three thousand two hundred sixteen».
7. Expand the number.
705,090 = 705,090 = 700,000 + 5,000 + 90
705,090 = 7 × 100,000 + 5 × + 9
10,892 = 10,000 + 800 + 90 + 2
10,892 = 1 × 10,000 + 8 × + 9 × + 2
8.Compose a number.
6 × 10,000 + 4 × 1,000 + 2 × 100 + 9 =
Imagine a number as a sum of digit terms.
10,892 = 10,000 + 800 + 90 + 2
9.Answer the questions.
What digit is in the ten-thousands place in 268,451?
What digit is in the ones place?
10.How many thousands are in 345,600?
Write the count of thousands and the numeral.
11.Write the number that comes before and after 120,000.
12.Write 1 more than 1,199,999.
13.Skip-count forward by 1,000 from 93,500. Write the next three numbers.
14.Mark 170,000 on a number line with steps of 10,000.
030,00060,00090,000120,000150,000180,000
15.What is halfway between 120,000 and 140,000? Mark it down.
16.Which number is greater?
Which number is greater?
17.Order ascending: 95,300; 95,030; 95,003; 94,900. 030,00060,00090,000120,000150,000180,000
18.Make the greatest 6-digit number using 4, 0, 9, 1, 5, 7 (no repetition).
19.Make a 6-digit number with «6 in ten-thousands place» and «sum of digits = 20».
20.Population board: Nellore 598,548 vs Bhavnagar 593,768 — which is larger? Explain. Also write each number in the Indian system.
21. Price list: write price in both systems. Which brand is more expensive?
747,871
829,860
Brand E
Car
Brand D
Car
COMPARING AND ROUNDING-OFF NUMBERS
22. Compare numbers. Fill >, <, or =.
23. Compare numbers. Some numbers are missing.
24. Write the appropriate numbers.
531,487531, 87531,687
14,31214,3 614,320
25. Order ascending: 1,19,900; 1,20,009; 1,19,990; 1,20,090.
26. Complete the sequence and write the rule.
134,000; 134,500; ; 135,500; ; 136,500
27. Insert the missing number so that the order is ascending.
56,451; ; 58,451; 59,451
28. Circle the greatest.
29.You need a quick estimate of 389,250 − 201,780. Which rounding is more sensible: to the nearest 10,000 or 100,000? Explain and estimate.
30.Answer the questions.
City A: 128,450 City B: 130,025
a)Round both to the nearest 10,000.
b)Which city is larger after rounding?
c)If you round to the nearest 100,000, what will each be?
d)Are both cities about 130,000? Explain using rounding.
31.Answer the questions.
A store prints price tags rounded to the nearest ₹10,000.
TV: ₹74,590 Laptop: ₹76,410 Phone: ₹49,499
a)What will each tag show (rounded to ₹10,000)?
b)The banner says «Under ₹75,000». Which items could be advertised as «under ₹75,000» based on the rounded tag?
c)Now round each to the nearest ₹1,000. Does the answer to (b) change?
32.Answer the questions.
Two routes: 148,650 m and 151,480 m.
a)Round both to the nearest 1,000 m. Are the rounded lengths the same or different?
b)Round both to the nearest 10,000 m. Same or different?
c)Which rounding in (a)/(b) is more informative here? Why?
33.Answer the questions.
For each context, choose a sensible rounding place (10 / 100 / 1,000 / 10,000 / 100,000) and explain.
a) City population: 406,090.
b) Receipt total: ₹19,410.
c) Road length: 151,480 m.
d) Price tag: ₹74,590
2.ADDITION AND SUBTRACTION
ADDING AND SUBTRACTING NUMBERS BEYOND 999
1.Adding and Subtracting Numbers Beyond 999.
2.Match each expression to its value.
1)324 + 245 =
2)506 + 193 =
3)140 + 350 =
4)612 + 187 =
5)670 + 245 = 6)248 + 523 = 7)785 + 345 =
3.Match each expression to its value.
1)700 − 200 = 2)961 − 540 = 3)432 − 111 = 4)909 − 404 =
5)942 − 518 = 6)582 − 237 = 7)1,000 − 275 =
4.Complete Adding in a column.
1 and 5
6 and 0
5.Find the sum and write the answer.
5643 + 2,105 =
3297 + 4,301 = 55,490 + 1,107 =
6. Complete adding in a column.
Add 8 and 5.
Carry the first digit in your mind or to the left column and write the second under the line
23 9 + 0 63
Add 3 and 8.
Carry the first digit in your mind or to the left column and write the second under the line
7. Find the sum and write the answer.
8,432 + 1,762 =
7,8034 + 10,789 = 67,209 + 3,428 =
8. Complete subtraction in a column.
Subtract 3 from 5
9. Find the difference and write the answer.
5,443 – 2,322 = 3,297 – 1,073 = 55,490 – 4,270 =
10. Add three numbers.
1,743 + 567 + 45 =
5,887 + 3,409 + 761 =
806 + 479 + 921 =
11. Find the error and correct it.
Explain the mistake (borrowing in tens / hundreds) and write the correct difference:
12.Find missing digit (complete the subtraction).
1.3 ,042 − 2,578 = 33,464 =
2.72,500 − ,960 = 63,540 =
3.405,0 6 − 2,789 = 402,217 =
13.Find missing digit (complete the addition).
1.4 ,865 + 27,438 = 75,303 =
2.12, 50 + 3,972 = 16,422 =
3.24,13 + 15,269 = 39,399 =
4.24,13 + 15,269 = 39,399 =
14.Check using the inverse operation.
1.139,900 + 24,750 = 164,650
2.268,451 − 121,980 = 146,471
15. Insert “+” or “−” in both blanks to make the equation true.
24,130 15,269 2,916 = 42,315
53,402 27,689 1,014 = 24,699
40,002 7,859 3,578 = 44,283
300,070 8,945 2,689 = 306,326
700,100 50,000 3,578 = 646,522
24,130 4,780 275 = 28,635
Hint: Work left to right; check reasonableness after each sign.
16. Solve the problem.
Plan: 120,000 boxes. Shipped: 38,450. How many are left to ship? Write answers in both forms: International and Indian.
17. Solve the problem.
There are 48,960 books on Monday. On Tuesday they add 5,430 more.
On Wednesday, Thursday and Friday people took 1,002 books. How many books left in total? Write answers in both forms: International and Indian.
ESTIMATION
18.Estimate the sum (round first; no exact calculation).
1.(to 1,000) 34,590 + 19,410
2.(to 10,000) 74,590 + 26,410
3.(to 100,000) 128,450 + 130,025
4.(to 10,000) 406,090 + 18,900
5.(to 1,000) 95,450 + 95,499
6.(choose a place ) 12,305 + 4,780
19.Estimate the difference (round first; no exact calculation).
1.(to 10,000) 268,451 − 121,980
2.(to 1,000) 151,480 − 148,650
3.(to 1,000) 406,090 − 399,860
4.(to 10,000) 300,070 − 8,945
5.(to 100,000) 408,500 − 399,900
6.(choose a place ) 800,600 − 300,500
20.Choose a sensible place & estimate (explain your choice).
1.24,500 + 15,750
2.120,000 − 38,450
3.700,100 − 2,689
4.300,000 + 12,345
(place: ). Reason
(place: ). Reason
(place: ). Reason
(place: ). Reason
21.Compare (>, =, <) after rounding.
Nearest 10,000: 268,451 271,980
Nearest 100,000: 408,500 399,900
Nearest 1,000: 95,450 95,499 if tie compare originals, round to a finer place
22.Answer the questions.
Roads: 148,650 m (A) vs 151,480 m (B)
Round to 1,000 m which is longer? about how much?
Round to 10,000 m same or different? Which rounding is more informative?
23.Answer the questions.
Five checks range from 19,900 to 20,100 each. Give a brief estimate of the total amount and state the method you used.
3. MULTIPLICATION
UNDERSTANDING MULTIPLICATION
1. Write 4 + 4 + 4 + 4 + 4 as a multiplication.
4 + 4 + 4 + 4 + 4 =
2. A table has 4 legs. How many legs do 5 tables have?
3. Fill the table.
similar numbers
you
4. Write the multiples of 9 up to 90. What pattern do you notice in the digits?
5. Circle the even numbers without multiplication: 7 × 2, 7 × 3, 7 × 4, 7 × 5. If hard multiply first. What pattern do you notice?
6. Fill in the blanks.
1. 6 × 7 = 42, so 7 × 6 =
2. 9 × 8 = 72, so 9 × 80 =
3. 983 × 10 = 9830, so 983 × 100 =
7. Multiply.
1. 30 × 400 =
200 × 60=
3. 3,000 × 7=
2.
357 × 6 =
8. Multiply in table.
502 × 4 =
9. Multiply the way you want.
10. A box contains 356 apples. A shop buys 4 such boxes. How many apples in all?
11. Divide the group into two parts.
6 × 4 = (3 + 3) × 4 = 3 × 4 + 3 × 4 = +
12. Solve examples.
3 × (4 + 5) = × + × =
(5 + 3) × 6 = × + × =
8 × (2 + 7) = × + × =
13. Match equal expressions.
14. Which is bigger: 499 × 8 or 500 × 8? Explain your reasoning without full calculation.
15. Fill in the missing multiplier.
78 × = 780
16. Look at the pattern.
· 21 × 2 = 42
· 21 × 3 = 63
· 21 × 4 = 84
What comes next?
17. A factory makes 1,245 bottles every day. How many bottles in 6 days?
18. Multiply in columns.
19. Multiply the way you want.
174 × 45 =
58 × 76 = 806 × 92 =
20. Multiply in columns.
21. A factory produces 425 toys each day. How many toys in a year?
22. A school has 327 students in each grade. There are 312 grades across the district. How many students in all?
23. Estimate first, then find exactly: 487 × 298.
ESTIMATION
We can quickly find the approximate product by rounding numbers before multiplying.
Example · 368 370 · 24 20
Estimated product = 370 × 20 = 7400
24. Find the estimated product of 487 and 92 by rounding both numbers to the nearest hundred.
92
Estimated product = × =
25. Round to the nearest tens.
1) 176 × 28 =
2) 449 × 62 =
3) 587 × 46 =
26. Round to the nearest hundred.
1) 162 × 413 =
2) 238 × 725 =
27. Estimate both to the nearest tens, and then to the nearest hundred.
1) 352 × 267 = × =
2) 678 × 892 = × =
28. A library has 86 shelves. Each shelf can hold about 295 books. Estimate how many books the library can store in total. Why is estimation helpful when planning space in public places like libraries?
29. Arjun wants to buy 17 cricket bats. Each bat costs ₹2,845. Using estimation, check if ₹50,000 will be enough. Explain how estimation helps in making quick money decisions.
4. DIVISION
DIVISION BY 1-DIGIT AND 2-DIGIT NUMBERS
1. Let’s warm-up and remember division of three digit numbers.
225 ÷ 5 =
2. Division of three digit numbers. 1) 42 ÷ 7 =
96 ÷ 8 =
364 ÷ 2 =
3. Do long division.
1) 455 ÷ 5 = 2) 902 ÷ 2 = 3) 487 ÷ 6 = 4) 934 ÷ 4 = 5) 652 ÷ 9 = 6) 713 ÷ 8 = 4 904 5 455
4. Find the quotient and remainder.
5.
6.Do long division.
7.A farmer has 1248 mangoes. He packs 24 mangoes in each basket. How many baskets does he need?
8.A library has 3580 books. Each shelf holds 45 books. How many shelves are needed?
9.Estimate 4950 ÷ 49 by rounding the numbers.
10. Rahul divided 248 by 12 and got remainder 8. Check if he is correct using the rule: Dividend = Divisor × Quotient + Remainder.
11. Compute and fill in the table. 456 ÷ 38 × 13 9121178988197613683306
12. Determine which numbers are hidden behind the pictures and solve the puzzle.
13. Compute and help Dino get to his friend.
380 ÷ 20 = 2) 900 ÷ 60 = 3) 2262 ÷ 78 = 4) 2520 ÷ 35 = 5) 1209 ÷ 13 = 6) 972 ÷ 18 =
14. Solve the number crossword.
1. 1924 ÷ 26 2. 2262 ÷ 39 5. 34 × 16 8. 1505 ÷ 35 9. 2304 ÷ 96
1326 ÷ 17 3. 6364 ÷ 74
19 × 13
3968 ÷ 62
5920 ÷ 80
5. MULTIPLES AND FACTORS
MULTIPLES
1. Colour the balloons that are multiples of 3.
2. Tick the correct answers.
by 7?
3.Write down
4.Help Dino colour the carpet.
5.Tick the correct answers.
1.Is it possible to divide 12 boys and 10 girls into 2 teams?
2.Is it possible to divide 22 boys and 12 girls into 3 teams?
3.Is it possible to divide 5 boys and 15 girls into 5 teams?
4.Is it possible to divide 10 boys and 18 qirls into 2 teams?
FACTORS
6.Read the statements and match the correct type of number.
1.A natural number having only two natural factors.
2.A natural number that is the product of two natural numbers larger than 1.
3.A natural number that larger than 1 that can be divided evenly only by 1 or itself.
Prime number
Composite number
7.Colour every prime numbers in the grid.
8.Distribute the numbers into groups.
122, 709, 590, 619, 211, 474, 127, 449, 604, 397, 519, 222
Add one example to each group.
9.Split the numbers into factors.
10.Choose the correct ways to split number into prime factors.
11. Match the answers with the expressions.
= 2 × 3 × 17 × 17
= 2 × 3 × 5 × 13 × 13
12. Split the numbers into prime factors.
13.List all common factors.
14.Write down the highest common factors.
HCF (15, 50) =
HCF (60, 11) =
HCF (18, 36) =
HCF (12, 18) =
HCF (28, 42) =
HCF (34, 17) =
HCF (20, 100) =
HCF (49, 56) =
15.Tick all the correct answers.
Which of these pairs of numbers have the common factor of 3?
50 and 63
100 and 203 16 and 21 27 and 45 14 and 25 33 and 77
81 and 99
Which of these pairs of numbers have the common factor of 7?
77 and 91
84 and 105 14 and 21 28 and 42 33 and 49 56 and 2563 70 and 85
6. FRACTIONS
UNDERSTANDING FRACTIONS
1. Tick the right answers.
3 4 numerator
Fraction numerator:
This is how many pieces are shaded.
This is how many pieces are not shaded. The circle has these many pieces.
Fraction denominator:
This is how many pieces are shaded.
This is how many pieces are not shaded.
The circle has these many pieces.
2 3 denominator
2. How much of the figure is shaded? Write the fraction.
3. Shade the circle to show the fraction.
4. Tick the correct shape to make a whole.
5. Answer the questions about the picture.
What fraction of the fruit is bananas?
What fraction of the fruit is pears?
What fraction of the fruit is yellow fruit?
6. Write the fractions.
1) Numerator = 3, denominator = 7
2) Numerator = 13, denominator = 35
3) Denominator = 9, Numerator = 3
4) Denominator = 3, Numerator = 7
5) Numerator = 7, denominator = 7
7. Put the pairs of fractions into the matching pits. Draw the lines.
8. Write the denominators and numerators.
1) The fraction with a denominator of 5
2) The fraction with a denominator of 6
4) The fraction with a numerator of 70 7 = 3 = 5 = 10 = and and and and and and and
3) The fraction with a numerator of 12
9. Write the correct sign: >, <, =.
10. Sort the fractions. Draw the lines.
11. Find the whole part and write the mixed fractions.
12. Write the mixed fractions as an improper fractions.
13. Place the balloons on the number line. Draw the lines.
14. Circle the largest fraction.
15. Arrange the fractions from the smallest to the largest.
Make a conclusion and insert the missing words:
These fractions have the same numerators. The smaller the denominator the the fraction.
These fractions have the same denominators. The larger the nominator the the fraction.
16.Make the fractions equivalent.
17.Find the common numerator and compare. 7 8 == numerator 42numerator 21 a) 4 5 = = = = denominator 10 denominator 55 numerator 20 numerator 40 c) 3 17 = = denominator 51denominator 170 b) 6 13 = numerator 24 Create
18. Calculate the answer.
a) There were 32 apples in the basket. Ahana ate of all apples. How many apples did Ahana eat?
Answer: 32 apples ?
b) Vivaan is training to run marathon: 42 km. Every day he runs of a marathon. How many kilometres a day does Vivaan run?
Answer: 42 km
c) Shreyas went out for 40 minutes. of this time he spent playing basketball. How long did Shreyas play basketball?
40 min
19. Calculate the answer.
a) Hansh was going to ride his bike 18 km to the hill, but he only rode of the way. How far did Hansh ride?
b) Priya went out for 60 minutes. of this time she spent playing tennis. How long did Priya play?
min
20. Calculate the answer.
21. Calculate the answer.
a) of a packet of sugar weighs 80 grams. How much does the whole packet weigh?
g ? packet: g
a packet of sugar: g
b) Neerav thought of a number, of which is 40. What number did he think of?
?
c) Nishith was learning how to hammer nails. He broke 21 nails – of all the nails. How many nails were there in total?
22. Solve the expression.
23. Help Gagan to describe the rules for adding fractions.
To add fractions with same denominator you should:
Sum up the numerators
Take any of the numerators
Sum up the denominators
Use the same denominator
24. Calculate and compare.
25. Perform the fraction subtraction.
26. Help Gagan to describe the rules for Subtracting fractions.
To Subtract fractions with same denominator you should:
Subtract
27. Find. Write down the answer as a mixed fraction.
28. Place the signs = or ≠.
29. Find.
30.Read the rule and complete the tasks.
1)Convert the mixed fraction to an improper fraction:
= 7
2)Perform addition or subtraction:
3)Convert answer to a mixed
Calculate and connect the expression with the answer with a line
7.LINES AND 2-D SHAPES
UNDERSTANDING BASIC TERMS
1.Choose the correct word.
This is a
This is a line
2.What is shown in the pictures?
straight line
This is a line points curve straight points curve
This is called a ray. It has a starting point but has no end point.
This is called a line segment. It has two end points.
3. Look at the points and count how many line segments are there. Draw them.
4. Look at the points and count how many line segments are there. Draw them.
5. Connect the dots in the specified order. Not adjacent to the first one with the last one.
Figure you draw is called a simple polygonal chain.
Points of it are called vertexes. How many of them here?
Lines between points are the line segments. How many of them here?
This is a closed polygonal.
6. This is a closed polygonal chain.
Each vertex of a polygon connect either 1 or 2 line segments.
How many line segments are connected to this red point?
Is it a polygon?
. Explain your answer
7.Match the polygons with their names.
8.Draw 2 more polygons that you know. a closed polygonal chain a simple polygonal chain not a polygonal chain
9. How many different straight lines can you draw through one point?
Choose an answer one none infinite
10. How many different curved lines can you draw through one point?
Choose an answer one none infinite
11. How many different curved lines can you draw through two points?
Choose an answer
12. How many different straight lines can you draw through two points?
Choose an answer
13. Colour the fish.
• Mark 5 curved in the picture with blue colour
• Mark closed figures in the picture with orange colour
• Mark straight lines in the picture with green colour
• Mark points in the picture with black colour
14. Select all the polygons in the picture.
15. Select all NON polygons in the picture.
UNDERSTANDING MORE GEOMETRICAL FIGURES
16. Count the number of vertices and sides and name each figure.
17. Match figures with its name.
hexagon
quadrilateral
pentagon
18. Find all the quadrilaterals in this picture
19. Find all the hexagons in this picture.
20. Feed the elephants. I eat circles! I eat triangles!
21. Draw and paint yourself: Circle, Square and Triangle.
22. Colour each shape. Use different colours for different shapes.
23. Write down objects you know that have the shape of a rectangle.
24. Identify the rectangles and circles and colour them in different colours.
25. Explain the difference between a square and a rectangle.
26. Feed the elephant.
I eat hexagons!
27. Draw and paint figure hexagon. Describe this figure.
28. What is a circle?
CIRCLES
A “circle” is shown as many dots around a point O.
a) Join the dots to trace the circle.
b) Measure the distance from O to 3–4 different dots.
What do you notice?
29. Which ones are circles? Tick all the circles. Explain briefly why others are not circles.
30. Draw two circles of any size with centres D and E.
In each circle, place a red point inside, a blue point on the circle, and a green point outside.
Which point is closest to the centre — the red, blue or green?
Explain using the idea of the radius.
31. On the given circle with centre A, measure radii AB, AC, AD. Draw one more radius and measure it.
32. Which chord is longer? (no ruler).
Two chords are drawn: CD (closer to the centre) and AB (near the boundary).
Which is longer?
Circle your choice and explain.
CD
33. Circles in real life — measure and fill.
Pick two round objects (coin, bottle cap, cup). Measure the diameter and compute the radius.
Object name
Diameter (cm)
Radius (cm) = d ÷ 2
34. Could this be a chord?
A circle has radius 4 cm. Could a chord have length 2 cm, 4 cm, 8 cm, 10 cm?
Tick all possible lengths and explain each in 1 sentence.
8. REPRESENTING 3-D SHAPES
REPRESENTING 3-D SHAPES AS 2-D SHAPES
1. Colour the shapes: use one colour for cubes and a different colour for cuboids.
2. Number the shapes. Record the numbers in the correct box.
Cube
Cuboid
3. Colour the shapes using different colours for cones and cylinders.
4. Number the shapes. Record the numbers in the correct box.
Cone
Cylinder
5. Paint all the Spheres.
6. Number the shapes. Record the numbers in the correct box.
Cones Cylinder
Spheres
7. Write the right answer.
CubesCuboids
These are shapes 3-dimensional
2-dimensional
8. Trace each figure to get its 2-D outline. What 2-D shape do you get? Draw and label it.
9. Choose the shape you will get on tracing this figures.
Circle
Circle
Circle Square Square Square
Rectangle
Rectangle
Rectangle
10. Which 2-D shape will you get by tracing these object? Tick it.
CircleTriangleRectangleSquare
CircleTriangleRectangleSquare
CircleTriangleRectangleSquare
CircleTriangleRectangleSquare
CircleTriangleRectangleSquare
CircleTriangleRectangleSquare
CircleTriangleRectangleSquare
CircleTriangleRectangleSquare
11. Representing 3-D Shapes as 2-D Shapes.
The place where two or more edges join is called a corner.
The place where two or more edges join is called a corner. A cube has corners.
Let's look at the surface or face of a cylinder. A cylinder has curved surface and flat faces. A cube has edges.
12. Match the shapes with the number of faces it has.
13. Match the shapes with the number of corners it has.
14. Choose the shape with 12 edges.
9. PATTERNS AND SYMMETRY
PATTERNS AROUND US
1. Choose the next shapes to keep the pattern.
2. What shape should be in the missing place?
3. Choose the next shapes to keep the pattern.
4. Select the ball that should go next.
5. Write the next numbers of the pattern.
SYMMETRY AND REFLECTIONS
6. Choose the symmetrical shape.
7. Match the shapes to the correct group.
Symmetrical shapes
Asymmetrical shapes
8. Choose the picture showing correct position of line of symmetry.
9. Draw the line of symmetry.
10. Choose the symmetrical half of the given shape.
11. Which letters of the English alphabet are symmetrical? Write them and draw their lines of symmetry.
12. Critical Thinking: Look at the STOP sign. Is it symmetrical? How many lines of symmetry does it have? Explain why road signs often use symmetrical shapes.
10. LENGTH, WEIGHT AND CAPACITY
LENGTH
1. Units of length.
dm
m 1 dm
mm This is 1 millimetre This is 1 centimetre This is 1 decimetre It’s 1 kilometre This is 1 metre
1 cm = mm
1 dm = cm = mm
1 m = cm = mm
1 km = m = dm = cm = mm
2. How much larger is a meter than a centimetre?
3. How much larger are some units compared to others?
4. Convert meters to other length units:
5. How long are the balls of wool? Sort lengths from largest to smallest.
60 mm60 dm700 cm60 cm60 m
6. How long are the cables? Sort lengths from largest to smallest.
35 mm35 m350 m35 dm30 cm
7. Find the width of the objects.
8. Find the length of the objects.
9. Choose an appropriate unit of length.
The height of a giraffe is 4 . kilometres centimetres metres millimetres
The length of a child's hand is 1 .
kilometres decimetres metres millimetres
The length of an eraser is 5 .
kilometres centimetres metres millimetres
The width of a maths grid square is 5 .
decimetres
centimetres metres millimetres
10. Compare Expressions.
80 m 16 cm 816 cm
315 dm 3 m 15 dm
82 mm 8 cm 2 mm
11. Find the distance travelled by ladybug and seahorse.
12. Calculate.
13. Do the conversions.
14. Which scale should be used to weigh the girl?
15. Convert different units of weight:
16. How much does objects weigh?
17. Convert.
18. Find the weight of ostrich egg.
19. How much does apples and cake weigh?
20. Substitute a suitable unit of mass.
a) The weight of a loaf of bread is 450 .
c) A piece of cake is 150 . kilograms grams grams kilograms kilograms grams
b) Asian elephant weighs 2700 .
21. Do the conversions.
2500 g = kg g
7 kg 600 g = g
500 g = kg
12,000 g = kg
5 kg 250 g = g
6450 g = kg g
8 kg 75 g = g
3200 g = kg g
22. A papaya weighs 2 kg 250 g and a watermelon weighs 4 kg 800 g. Find the total weight.
23. A shopkeeper has 125 kg of rice. He sells 75 kg 500 g. How much rice is left?
24. A sack of onions weighs 49 kg. Estimate the total weight of 20 sacks.
25. A person’s weight is 47 kg 800 g. Estimate his weight to the nearest kilogram.
26. Which is heavier: 3 kg 250 g or 3250 g? Explain.
27. A puppy weighs 4 kg. A kitten weighs 2300 g. By how much is one heavier than the other?
CAPACITY
28. How many millilitres are in one litre?
1 carton of milk = ×4 mugs
29. Units of capacity.
A shopkeeper sells milk in 1-litre packets, juice in 1-litre bottles, and soft drink in 1-litre cans. Aarav’s shopping list says:
• 2 L of milk
• 4 L of lemonade
• 3 L of water
How many packets of milk should Aarav buy?
How many bottles of lemonade should he buy?
How many cans of water should he buy?
Find the total number of items he will carry home.
30. Which vessel has more water? Tick it.
31. Look at the two pictures. The same cup of water is poured into Vessel A and Vessel B. Which vessel has more water? Explain your answer.
32. Mark 2 water cans in the line.
33. Give the dinosaurs as much tea as they ask for.
7 L of tea, please!
3 L of tea, please!
5 L of tea, please!
7 L of tea, please!
3 L of tea, please!
10 L of tea, please!
Answer:
34. How much juice is left in the jar?
How many litres are needed to fill the smaller vessel?
How many litres are left in the larger vessel?
Answer:
Answer:
How many litres are left in the larger vessel?
35. Do the conversions.
36. A bottle holds 750 mL of juice. How many such bottles are needed to fill a jug of 9 L?
37. A milkman has 12 L of milk. He pours it equally into 6 cans. How much milk does each can have?
38. A man drinks about 2 L of water daily. Estimate how much water he drinks in 1 month.
39. A can holds 498 mL of juice. Estimate its capacity to the nearest 100 mL.
40. You have a 3 L jug and a 5 L jug. How can you measure exactly 4 L of water?
41. A shopkeeper has bottles of 1 L and 500 mL. A customer wants exactly 7 L of oil. Suggest two different ways he can pack it.
11. PERIMETER AND AREA
1. Find the perimeter of the following shapes.
2. Find the perimeter of the following shapes.
3. Find the perimeter of the following shapes.
One side is 18 m, the second one is 24 m, and the third one is 12 m larger than the first one.
The perimeter of the triangle is
One side is 9 cm, the second one is 12 cm, the third one is 7 m larger than the first one, and the fourth one is 5 cm smaller than the second one.
The perimeter of the rectangle is
4. Find the length of the missing lengths of the sides in each shades.
5. Make the shapes and find its perimeter.
a) Make a rectangle out of the identical squares
b) Make a rectangle out of a square and rectangle
c) Make a rectangle out of two identical rectangles
6. Dino bought a plot of land and decided to fence it. Calculate the perimeter of the land plot.
Is 35 meters of fence enough?
Yes
No
7. Calculate the perimeter of the shape. Draw a square with the same perimeter.
8. Find the perimeter of the shapes.
Write the shapes in order of increasing their perimeter:
9. Colour the shape with the largest area.
10. Connect the shapes with the same area. Draw the lines.
11. Calculate the area.
Number of units = Take 1 unit as 1 cm2 So, area = cm2
12. Fill in the gaps.
Shape ____ and shape ____ have same perimeter but different areas.
Shape ____ and shape ____ have same area but different perimeters.
Shape ____ and shape ____ have different areas but different perimeters.
13. Calculate the area of the shaded field.
14. Calculate the area of irregular shapes.
half squares
full squares
more than half squares
less than half squares
When counting, a larger half of a square + a smaller half of a square = 1
Number of unit squares
Full squares
Half squares
More than half squares
Less than half squares
Total area (approx.)
15. Calculate the area of irregular shapes.
Total area (approx.)
Total area (approx.)
Total area (approx.)
Total area (approx.)
16. Compare the areas of the figures.
Total area (approx.) Total area (approx.) Total area (approx.)
17. Colour the shape with a larger area in each row.
18. Count the area of the shape. Draw your own shape with the same area.
1 unit = 1 cm2 Area = cm2
19. Circle your palm and calculate the area of irregular.
Number of unit squares
Full squares
Half squares
More than half squares
Less than half squares
Total area (approx.)
TIME ON A CLOCK
1. Convert hours into minutes and back.
2. Convert.
3. Convert minutes into seconds and back.
4. Convert.
5. Look at the clock and fill in the table. Use the hints.
When the minute hand is at 1, it shows 5 minutes.
When the minute hand is at 3, it shows 15 minutes.
When the minute hand is at 9, it shows 45 minutes.
6. What is the time on the clock?
7. What is the time on the clock?
8. Fix the clock, draw hour and minute hand.
9. Choose the clock which shows the right time. Circle the answer.
10. Find which class is starting now by looking at the clock. Time table 8:30 — English 9:20 — Mathematics 10:10 — Science 11:05 — Music Time table 10:10 — Science 11:05 — Art
— Music
— Physical Education
11. Draw the path to the door choosing the right time.
Subtract 10 min and find the right way — circle the times.
Add +30 min and find the right way — circle the clocks.
12. Convert from 12-hour clock to 24-hour clock.
• 9:00 a.m. =
• 3:30 p.m. =
• 12:15 a.m. =
• 11:45 p.m. =
13. Convert from 24-hour clock to 12-hour clock.
• 06:20 =
• 14:05 =
• 23:30 =
• 00:45 =
14. Convert the following.
• 3:45 p.m. to 24-hour format
• 07:30 to 12-hour format
• 23:15 to 12-hour format
15. How many minutes are there in 5 hours?
16. How many hours are there in 270 minutes?
17. A football match started at 4:20 p.m. and ended at 6:05 p.m. How long did it last?
18. A music lesson is from 15:45 to 17:10. How many minutes is it?
19.
TIME ON A CALENDAR
1 day = 24 hours
2
20. Convert.
21. Convert weeks into days and back.
1 week = 7 days
22.Convert.
1 week 5 days = days 23 days = week days
2 week 5 days = days
29 days = week days
23.What is the calendar year made up of?
There are actually 365 days in a year. There are 366 days in a leap year — it has an extra day, on 29 February.
In 2026 there aredays.
There aremonths in a year.
Divide the number of days in the current year by the number of days in a week: ÷=(remainder. )
There areweeks in a year .
25.Parth's birthday is on 5 December. There are 31 days in December. Circle all the months which have the same number of days.
January July February August March September April May June October November December
26.Simi's birthday is on 15 April. There are 30 days in April. Choose all the months which have the same number of days.
January July February August March September May June October November December
27.If 1 February is a Saturday, then on which days will the following dates fall this year?
2 February —
7 February —
29 January —
28. If 3 May is a Wednesday, then on which days will the following dates fall this year?
1 May —
18 May —
9 May —
13. MONEY
COUNTING MONEY
1. Match the coins and banknotes to the correct value.
1 rupee = 100 paise Two ₹10 notes Ten ₹2 coinsFour ₹5 coins
2. Circle the correct ways to make ₹20.
a)
3.Count how much money is there in the wallet and write the answer.
I have ₹522 in my wallet
Ice-cream costs ₹125
b)
c) I have ₹1157 in my wallet I have ₹1270 in my wallet
4.Help Alisha count how much money will she have left after buying ice-cream. ₹522 – ₹125 = ₹1157 – ₹536 = ₹1270 – ₹920 =
Ice-cream costs ₹536
Ice-cream costs ₹920
5. Which of these equals ₹50? Circle the answers.
5 notes of ₹10
2 notes of ₹20 and 1 note of ₹10
6. Convert into paise:
a) ₹3.75 = paise
b) ₹10.50 = paise
c) ₹125.00 = paise
7. Convert into rupees:
a) 485 paise = ₹
b) 760 paise = ₹
c) 12,450 paise = ₹
50 coins of ₹1
8.Aarav buys a pencil for ₹12.50 and an eraser for ₹7.50. How much does he spend in total?
9.Riya buys fruits:
Apples: ₹45.00 Bananas: ₹23.50 Oranges: ₹31.50
What is the total cost?
10.Write ₹325.50 in words.
11.Write “Six hundred forty-three rupees and twentyfive paise” in figures.
12.Riya went to a shop with ₹500. She bought a bag for ₹348.75. How much money was left?
13.Aarav had 1250 paise. He bought a notebook for ₹9.25. How much money does he still have in paise?
14.A fruit seller sold mangoes for ₹256.50 and bananas for ₹189.25 in a day. How much money did he earn in total?
15.A water bottle costs ₹97.50. Estimate its price to the nearest 10 rupees.
16. A shopkeeper has two items: one costs ₹348.75, the other costs ₹652.20. Without exact calculation, estimate the total.
17. Neha says ₹5.50 is the same as 55 paise. Aarav says it is the same as 550 paise. Who is correct? Why?
18. A purse has coins worth ₹50 in total. If all coins are ₹2, how many coins are there?
MORE ON MONEY
19.Write in words: ₹742.15.
20.Write in figures: “Three hundred eighty-four rupees and fifty paise”.
21.Convert 8150 paise into rupees.
22.Convert ₹45.60 into paise.
23. A bill shows: 2 pens ₹12 each, 1 eraser ₹6, 1 sharpener ₹5. Count the total of the bill.
24. A bakery sold 3 cakes at ₹85.50 each. Find the total sale.
25. Convert ₹999.99 into paise.
26. A shopkeeper has ₹128.75. If he spends ₹75.25, how much is left?
27.Maya has ₹100. She wants to buy exactly 5 items from the shop. Each item costs either ₹10, ₹15, or ₹20. Can you find one possible combination of items she can buy?
28.Rohan went to a stationery shop. He bought 4 pencils at ₹7.50 each and 2 notebooks at ₹22.25 each. How much did he spend?
29.A family went for lunch. Their bill was ₹865.75. They gave the waiter ₹1000. How much change did they get back?
30.A school collected ₹115 from each of 24 students for a trip. How much money was collected in total?
31.A grocery bill is ₹489.75. Estimate the amount to the nearest hundred.
32.A shopkeeper sold goods worth ₹299.40 and ₹501.20. Estimate the total quickly.
33.A price tag on a shirt says ₹799.00. Riya says the shopkeeper could also just write ₹799. Is she correct? Which way is clearer for customers?
34.A shopkeeper writes the price of an item as ₹349.99. Why do you think he did not write it as ₹350?
14.DATA HANDLING
ORGANISING DATA
1.Look and fill in the table.
2.Fill in the table. Connect the image to the correct cell.
3.Look and fill in the table. Connect the image to the correct cell.
column
Table cell
Table row
Table
4. Look and fill in the table. Connect the image to the correct cell.
5. Choose the correct objects in the machine to make the given ice-cream. Circle it.
6.Give the medals to the athletes.
7.Fill the table with the positions. Less time means faster.
Mirza Alex Kenny
8.Count the birds on the trees and fill the table.
Blue birdsPink birds
Left tree
Right tree 1
Yellow birdsGreen birds
Left tree
Right tree 3
9.Bhumi and Neelam went to the forest to gather russules and chanterelles. How many russules did the girls gather together?
How many russules did the girls gather together?
10.Aakriti and Mahi walked along the beach and gathered shells and pebbles.How many seashells have they gathered in total?
How many seashells have they gathered in total?
11.Vruti and Ruchika planted flowers near their house.How many more lilies Ruchika did plant than Vruti?
How many more lilies Ruchika did plant than Vruti?
12.Kartik and Aditya counted their toys.How many more robots does Kartik have than Aditya?
How many more robots does Kartik have than Aditya?
13.Categorise the items.
Strawberry Blueberry Banana Chocolate
Berries Fruits
Mushrooms Vegetables
14. Categorise the items and name the columns.
Red Blue Yellow Green
Green Purple Yellow Pink
15.Fill in the table.
Birch treeMaple
Birch tree Maple
16.Read the dialogue carefully and fill in the table with the missing information.
Hello! I am Tanvi. I am 9 years old and I am in Class 3. My favourite subject is reading.
Hi! My name is Parth. I am 7 years old and I study in Class 1. My favourite subject is music.
Boy
Girl
17.Read the dialogue carefully and fill in the table with the missing information.
Hello! I am Natali. I have cat and my hobby is sport classes. My favorite colour is green
Hi! My name is Raghav. I have parrot and my hobby is playing chess. My favorite colour is yellow
Girl
18. Look at the table and formulate a weather forecast.
The weather
Are there thunderstorms or rain somewhere?
The weather
Are there thunderstorms or rain somewhere?
weather
Are there thunderstorms or rain somewhere?
Ahmedabad
19.Look at the table and guess the city by the postcard.
Delhi
Mumbai
Chandigarh
WeatherTemperature
Hi! Come to visit us at _____________________. Here it is cloudy and the temperature is above 20°C!
Ahmedabad
Chandigarh
WeatherTemperature
WeatherTemperature Patna
Hi! Come to visit us at _____________________. It is raining and the temperature is 18°C
Hi! Come to visit us at _____________________. Here it is sunny and the temperature is above 20°C!
Chennai Jaipur
Kolkata
20.The gardener
21. The robot generated two passwords with different letters and numbers. Fill in the table.
Password 1
Number of letter Number of digits
Password 2 4 5
Number of letter Number of digits
Password 1
Password 2 4 3
22.Look at the table. And answer the questions.
Who has most postcards?
Circle the answer
Who has least stamps?
Circle the answer
Who has most erasers?
Circle the answer
Who has least pens?
Circle the answer
Akshita
23.Look at the table. And fill in the boxes.
Best of the ball throws
Best of all rope jumps
Best of all push ups
Best of pull ups
24.Count the tally marks and write the number.
a)|||| || =
b)|||| |||| || =
c)|||| =
25.Why do we group tally marks in sets of 5 instead of 10? Think about which way makes counting faster and easier.
26.Write the answer.
Riya counted the different fruits in her basket:
Apples = Oranges = Bananas =
27.A group of students voted for their favourite sport:
Cricket — 12 Football — 8Badminton — 5Swimming — 10
Show the data using tally marks
28.Look at the tally chart and answer the questions.
a)How many lions are there?
b)Which animal is the least?
c)How many animals in total?
PICTOGRAPHS
29. Key: = 2 fruits
A basket has:
How many fruits are there in total?
30. Look at the pictograph of cars in a parking lot.
Key: = 5 cars
Red Cars: Blue Cars: Green Cars:
Answer the questions:
a) How many red cars?
b) Which colour is most?
c) What is the total number of cars?
31.The number of books read by students:
Key: = 5 books
Class A: 10
Class B: 15
Class C: 5
Draw the pictograph
32.A pictograph shows:
Key: = 10 oranges
School 1:
School 2:
School 3:
Answer:
a)Which school ate the most oranges?
b)How many more oranges did School 3 eat compared to School 2?
33. Nina collects data on pets in her neighbourhood:
Dogs: 14
Cats: 8
Birds: 10
She wants to make a pictograph where = 2 pets. How many symbols should she draw for each pet?
If she uses = 5 pets instead, will the pictograph look easier or harder to read? Why?
34. Students were asked their favourite fruits:
Apples: 10
Bananas: 8
Grapes: 12
Draw a pictograph using 1 picture = 2 fruits. Which fruit is the most popular?
35.The pictograph shows the number of bicycles sold in 4 months:
= 5 bicycles
January:
February:
March:
April:
In which two months were equal bicycles sold? If May sales were 25 bicycles, how many symbols should be added?
36.A pictograph shows the number of mangoes eaten by children: = 2 mangoes
Rina: Mohit: Asha: Kiran: Who ate the most mangoes?
If the key changes to = 4 mangoes, how will the pictograph look now?
39.Shade the correct answers.
The chart shows how many different sweets are on display. What sweets are most in the shop window?
The chart shows how many second-grade students do different sports. What is the most popular sport?
The chart shows the number of Helen’s toys. Show how the chart will change if Helen gives one doll and two cubes to her friend.
Dolls
Dolls
Balls
Balls
Cubes
Cubes
42.Colour in the correct answer.
The chart shows the number of different fish in the aquarium.
Is the statement true? Circle it
Barbuses most of all
Paracheirodons more than the angelfish
Barbuses and guppies are equally
How many angelfishes are smaller than guppies?
The chart shows how many different wild cats are in the zoo.
Is the statement true?
Lions more than panthers
Tigers are the least.
Puma more than panthers, but less than lions
The chart shows how many second grade students were in different summer camps.
Is the statement true?
In «Spaceship» there were fewer children than in «Friendship» In «Chamomile» there were 6 second grade students
How much more children are there in «Friendship» camp than in «Chamomile»?
Is the statement true?
Most students prefer to go by foot
More students get to school with their parents by car than by bike
How many more children use a school bus than a taxi?
«Spaceship»
«Green city»
By school bus
On foot
By car
By bike
By taxi
43.The table shows the number of students in a class. Finish the bar graph.
44.Dino recorded the number of hours of sleep per day over the week. Represent the date in a bar.
45.Calculate and finish the bar graph.
The chart shows the favourite colours of the students of 2 “A” class. A total of 46 students participated in the survey. How many students love yellow?
Answer:
The chart shows the number of different trees in the school yard. Total trees — 120. How many birch trees in the school yard?
Answer:
PIE CHARTS
46.The tourist recorded their travel expenses and drew a pie chart. Label what each segment of the circle represents.
47.Tick the correct answers.
Which continent has the largest population?
Which continents have a smaller population than South America?
Is it true that the population of Asia is larger than that of an other continents combined? TrueFalse
48.The teacher studied the students’ birthdays and created a chart.
Tick the option where the seasons are arranged from the highest number of birthdays to the lowest.
49.Answer the questions
Favorite subjects of 4th-grade students:
Winter - Spring - Summer - Autumn
Autumn - Spring - Summer - Winter
Spring - Autumn - Summer - Winter
Autumn - Summer - Spring - Winter
How many students like mathematics?
How many students’ favorite subject is NOT English?
How many students are there in the class in total?
Answers
1.Numbers up to 6 Digits
Page 1
1. Seven hundred fifty-six thousand, three hundred seventy-nine
Page 5
11. Before: 119,999
After: 120,001
12. 1 more than 1,199,999 is 1,200,000
13. 93,500 94,500 95,500 96,500 14. 2. 11451 1.
Page 2
3. 543,216 — Five hundred forty-three thousand, two hundred sixteen
5,43,216 — Five lakh forty-three thousand, two hundred sixteen
Expanded form:
543,216 = 500,000 + 40,000 + 3,000 + 200 + + 10 + 6
Page 3
4. International system: 875,432
Indian system: 8,75,432
5. International system (406,090): Four hundred six thousand, ninety
Indian system (4,06,090): Four lakh six thousand, ninety
6. Numeral = 543,216
7. 705,090 = 700,000 + 0 + 5,000 + 0 + 90 + 0
Page 4
8. 6×10,000 + 4×1,000 + 2×100 + 9 = 64,209
9. 6; 1
10. There are 345 thousands in 345,600. Numeral = 345 × 1,000 = 345,000
170,000
030,00060,00090,000120,000150,000180,000
Page 6
130,000
030,00060,00090,000120,000150,000180,000
16. 408,500
17. Ascending order: 94,900; 95,003; 95,030; 95,300 15.
Page 7
18. Greatest 6-digit number = 975410
19. 620,309
20. Larger: Nellore (598,548 > 593,768)
Explanation: 598,548 is greater than 593,768 because 598 thousand is more than 593 thousand.
Indian system: Nellore = 5,98,548 Bhavnagar = 5,93,768
Page 8
21. Brand D = 747,871 (Intl) = 7,47,871 (Indian)
Brand E = 829,860 (Intl) = 8,29,860 (Indian) More expensive: Brand E
Page 9
22. a) 814,530 > 814,430
b) 1,390 < 256,701
c) 95,300 > 95,030
d) 44,571 > 2,404
23. <
24. 5
Page 10
25. Ascending order: 1,19,900; 1,19,990; 1,20,009; 1,20,090
26. Sequence: 134,000; 134,500; 135,000; 135,500; 136,000; 136,500 Rule: Add 500 each time.
27. Missing number: 57,451
28. Greatest: 68,090
Page 11
29. 389,250 − 201,780
Rounding to nearest 10,000: 390,000 −
200,000 = 190,000
Rounding to nearest 100,000: 400,000 − 200,000 = 200,000
More sensible: nearest 10,000, because it gives a closer estimate
30. a) 128,450 130,000 ; 130,025 130,000
b) Both are the same after rounding (130,000).
c) To the nearest 100,000: City A 100,000 ; City B 100,000
d) Yes, both are about 130,000, because when rounded to the nearest 10,000 they become 130,000
Page 11
31. a) TV: 74,590 70,000 ; Laptop: 76,410 80,000 ; Phone: 49,499 50,000
b) Banner “Under ₹75,000”: only TV (70,000) qualifies.
c) Nearest ₹1,000: TV = 75,000 ; Laptop = 76,000 ; Phone = 49,000.
Now only Phone is strictly under 75,000
Page 12
32 . a) Nearest 1,000: 148,650 149,000 ; 151,480 151,000 (different).
b) Nearest 10,000: 148,650 150,000 ; 151,480 150,000 (same).
c) More informative: nearest 1,000, because it shows the difference between the two routes
33. a) City population 406,090 round to 100,000 (≈400,000).
b) Receipt total ₹19,410 round to 100 (≈₹19,400).
c) Road length 151,480 m round to 1,000 (≈151,000 m).
d) Price tag ₹74,590 round to 10,000 (≈₹70,000).
2. Addition and Subtraction
Page 13 2. 1. 324 + 245 = 569 2. 506 + 193 = 699 3. 140 + 350 = 490
4. 612 + 187 = 799
5. 670 + 245 = 915
6. 248 + 523 = 771
7. 785 + 345 = 1130 1.
3. 1. 700 − 200 = 500
2. 961 − 540 = 421
3. 432 − 111 = 321
4. 909 − 404 = 505
5. 942 − 518 = 424
6. 582 − 237 = 345
7. 1,000 − 275 = 725
Page 14
4.
5. 7748; 7598; 56,597
Page 15
6. 58,783; 21,859; 12,679
7. 10194; 88823; 70637
Page 16
8. 1061; 22,516; 34,121
9. 3321; 2224; 51220
Page 17
10. 2355; 10057; 2206
11. 64,203 − 5,879 ≠ 58,424
Correct difference = 58,324
(Borrowing error when subtracting tens/ hundreds)
Page 18
12. 36,042; 8,960 ; 405,006
13. 47,865; 12,450; 300,070; 24,130
Page 18
14. Correct; Correct
Page 19
15. 24,130 + 15,269 + 2,916 = 42,315
53,402 – 27,689 – 1,014 = 24,699
40,002 + 7,859 – 3,578 = 44,283
300,070 + 8,945 – 2,689 = 306,326
700,100 – 50,000 – 3,578 = 646,522
24,130 + 4,780 – 275 = 28,635
16. 120,000 − 38,450 = 81,550 (International: 81,550; Indian: 81,550)
Page 20
17. 48,960 + 5,430 − 1,002 = 53,388 (International: 53,388; Indian: 53,388)
Page 21
18. (to 1,000) 34,590 + 19,410 ≈ 35,000 + 19,000 = 54,000 (to 10,000) 74,590 + 26,410 ≈ 70,000 + 30,000 = 100,000 (to 100,000) 128,450 + 130,025 ≈ 100,000 + 100,000 = 200,000 (to 10,000) 406,090 + 18,900 ≈ 410,000 + 20,000 = 430,000 (to 1,000) 95,450 + 95,499 ≈ 95,000 + 95,000 = 190,000 (choose a place 1,000) 12,305 + 4,780 ≈ 12,000 +5,000 = 17,000
19. (to 10,000) 268,451 − 121,980 ≈ 270,000 − 120,000 = 150,000 (to 1,000) 151,480 − 148,650 ≈ 151,000 − 149,000 = 2,000 (to 1,000) 406,090 − 399,860 ≈ 406,000 − 400,000 = 6,000
(to 10,000) 300,070 − 8,945 ≈ 300,000 − 10,000 = 290,000
(to 100,000) 408,500 − 399,900 ≈ 400,000 − 400,000 = 0
(choose a place 100,000) 800,600 − 300,500 ≈ 800,000 − 300,000 = 500,000
Page 21
20. 24,500 + 15,750 41,000 (place: 1,000)
Reason: average amounts; rounding to 1,000 gives a quick and fairly accurate result.
120,000 − 38,450 80,000 (place: 10,000)
Reason: subtract tens of thousands; Rounding to 10,000 is convenient and adequate in accuracy.
700,100 − 2,689 697,000 (place: 1,000)
Reason: It is better to round a small number to 1,000 (to 3,000) to save the difference; up to 10,000 would be too rough.
300,000 + 12,345 312,000 (place: 1,000)
Reason: add a “small” amount; 1,000 gives good accuracy without unnecessary calculations.
Page 22
21. Nearest 10,000: 268,451 270,000; 271,980 270,000 268,451 < 271,980
Nearest 100,000: 408,500 400,000; 399,900 400,000 408,500 > 399,900 (tie at this place, compare originals)
Nearest 1,000: 95,450 95,000; 95,499 95,000 95,450 < 95,499
22. To 1,000 m: A 149,000, B 151,000 B longer by ~2,000 m
To 10,000 m: both 150,000 same More informative: 1,000 m, because it shows the difference between routes
23. ≈ 100,000 (method: round each check to ~20,000 and multiply 5 × 20,000)
3.Multiplication
Page 23
1. 5 × 4 = 20
2. 5 × 4 = 20
3. 6 × 3; 8 + 8 + 8 + 8 + 8; 2 × 7
Page 24
4. Multiples of 9 up to 90: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90(Pattern: the sum of the digits is 9)
5. 7 × 2 = 14 (even), 7 × 3 = 21 (odd), 7 × 4 = 28 (even), 7 × 5 = 35 (odd) (Pattern: products alternate odd/even)
6.
1. 6 × 7 = 42 7 × 6 = 42 2. 9 × 8 = 72 9 × 80 = 720
3. 983 × 10 = 9,830 983 × 100 = 98,300
7.
1. 30 × 400 = 12,000
2. 200 × 60 = 12,000
Page 25
8. 1488; 1904
9. 2142; 2008
Page 26
10. 4 boxes = 1,424 apples
11. 12 + 12 = 24
12. 3 × 4 + 3 × 5 = 27
5 × 6 + 6 × 3 = 48
8 × 2 + 8 × 7 = 72
Page 27
13.
3. 3,000 × 7 = 21,000 2 × (3 + 4)
14. 500 × 8 = 4,000 is bigger. Reason: 500 is greater than 499, so product is greater
15. 10
16. 21 × 5 = 105
Page 28
17. In 6 days: 1,245 × 6 = 7,470 bottles
18. 9462; 20493
Page 29
19. 7830; 4408; 74152
20. 209 × 283 = 59,147
564 × 765 = 431,460
Page 30
21. In a year (365 days): 425 × 365 = 155,125 toys
22. A school has 327 students/grade × 312 grades = 102,024 students
23. Estimate: ≈ 500 × 300 = 150,000
Exact: 487 × 298 = 145,126
Page 31
24. 487 500 92 100
Estimated product = 500 × 100 = 50,000
25.
1)176 × 28 180 × 30 = 5,400
2)449 × 62 450 × 60 = 27,000
3)587 × 46 590 × 50 = 29,500
26.
1)162 × 413 200 × 400 = 80,000
2)238 × 725 200 × 700 = 140,000
Page 32
27.
1)352 × 267
•To tens: 350 × 270 = 94,500
•To hundreds: 400 × 300 = 120,000
2)678 × 892
•To tens: 680 × 890 = 605,200
•To hundreds: 700 × 900 = 630,000
Page 32
28. 86 × 295 ≈ 90 × 300 = 27,000 books
Estimation helps because it gives a quick idea of space needed without detailed calculation
29. Arjun’s cricket bats: 17 × 2,845 ≈ 20 × 3,000 = 60,000
₹50,000 is not enough.
Estimation helps quickly judge affordability before exact calculation.
4.Division
Page 33
1.
1)42 ÷ 7 = 6
2)96 ÷ 8 = 12
3)225 ÷ 5 = 45
4)364 ÷ 2 = 182
2. 107; 162
Page 34
3. 226, 234, 91
4.
1)455 ÷ 5 = 91 R0
2)902 ÷ 2 = 451 R0
3)487 ÷ 6 = 81 R1
4)934 ÷ 4 = 233 R2
5)652 ÷ 9 = 72 R4
6)713 ÷ 8 = 89 R1
Page 35
5. 1206; 11958
Page 36
6. 447; 5075; 1172
Page 37
7. 1248 ÷ 24 = 52 baskets
8. 3580 ÷ 45 = 79 R25 80 shelves
9. 5000 ÷ 50 ≈ 100
Page 38
10. Check Rahul (248 ÷ 12 = 12 R8?)
Check: 12 × 12 + 8 = 152 ≠ 248 false
Right: 248 ÷ 12 = 20 R8 (12×20 + 8 = 248).
11.
Page 42
3. One of the possible answers: 7: 14, 21, 28 2: 20, 10, 4
19: 38, 57, 76 21: 42, 63, 84 11: 22, 33, 44 16: 32, 64, 80
12. (47 × 19) – (17 × 32) = 349
Page 39
13. 1) 380 ÷ 20 = 19
2) 900 ÷ 60 = 15
3) 2262 ÷ 78 = 29
4) 2520 ÷ 35 = 72
5) 1209 ÷ 13 = 93
6) 972 ÷ 18 = 54
Page 40
15. Hoopoe; Kingfisher Page 41
5. Multiples and Factors
1. 45, 72, 96, 81
2. Divisible by 7: 196, 343
Divisible by 9: 81, 405
Divisible by 15: 150, 225
Divisible by 8: 32, 184
5. Yes; No; Yes; Yes
Page 43 4.
6. Prime number — a natural number having only two natural factors.
Composite number — a natural number that is the product of two natural numbers larger than 1.
Prime number — a natural number larger than 1 that can be divided every only by 1 or itself
Page 44
8. Prime numbers: 127, 619, 709, 449, 397, 211
Composite numbers: 122, 590, 474, 604, 222, 519
Page 44
9. 12
Page 45
10.
36 = 2 × 2 × 3 × 3
150 = 5 × 5 × 3 × 2
75= 5 × 5 × 3
Page 45
11.
28, 42: 2, 7,14 45, 60: 3, 5, 15 24, 36: 2, 3, 4, 6, 8, 12 150, 225: 3, 5, 15, 25, 75 120, 180: 2, 5, 3, 4, 6 , 10, 12, 15, 20, 30, 60
648, 864: 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Page 46 12. 13. 14.
HCF (15, 50) = 5
HCF (60,11) = 1
HCF (18, 36) = 18
HCF (12, 18) = 6
HCF (28,42) = 14
HCF (34,17) = 17
HCF (20,100) = 20
HCF (49,56) = 7
15.
The common factor of 3: 27 and 45, 81 and 99
The common factor of 7: 28 and 42, 56 and 63, 77 and 91, 84 and 105, 14 and 21
6. Fractions
Page 47
1. Numerator. This is how many pieces are shaded
Denominator. The circle has these many pieces.
48
Page 49
Page 50
Page 53
14.
Page 54 15.
Page 56
18. 8 apples, 7 km, 8 min
Page 57
19. a) 2 km, 14 km b) 20 min, 40 min 20. a) 9 b) 12 c) 8 d) 55 e) 84
Page 58
21. a) 40, 200 b) 10, 50 c) 3, 24
These fractions have the same numerators. The smaller the denominator the larger the fraction. These fractions have the same denominators. The larger the numerator the larger the fraction.
Page 55
Page 60 27. 6 3 or 2 26. Subtract the numerators Take any of the numerators
Subtract the denominators Use the same denominator
Page 61
28. 1) = 7)=
2) ≠ 8)=
3) ≠ 9)=
4)= 10) ≠
5) = 11) ≠
6) = 12)=
29. 7 7 2 7 4 7
Page 62
30. 3 9 5 9
31. 1) 6 7 7 4)2 3 9 2)5 3 6 5)25 2 10 3)9 6)2 6 7
7.Lines and 2-D Shapes:
Page 63
1. This is a point. This is a curved line. This is a straight line. 2. straight line points curve
Page 64
3. 3 line segments
4. 4 line segments
Page 65
5. vertexes: 4 segments:3 1 2 3 4
Page 66
5. Red point connects 2 line segments. Is it a polygon? No, because it is open, not closed.
Page 67
7. A closed polygonal chain Not a polygonal chain A closed polygonal chain
Page 68
9. Infinite
10. Infinite
Page 69
11. Infinite
12. One
Page 70
13.
Page 71 14. 15.
Page 72
16. triangle: 3 vertices, 3 sides quadrilateral: 4 vertices, 4 sides pentagon: 5 vertices, 5 sides
17. pentagon, hexagon, quadrilateral
Page 72 18. 19.
Page 73
74
Page 75
23. book, notebook, window, door, telephone
75
Page 77
29. Not circles: the triangle, square, oval, and wavy shapes (distances from the centre are not equal).
25. Square:has 4 equal sides; has 4 right angles.
Rectangle: also has 4 right angles; opposite sides are equal, but not all 4 sides are equal.
So, all squares are rectangles, but not all rectangles are squares. 24.
Page 76
27. book, notebook, window, door, telephone I eat hexagons! 26.
Page 77
28. b) The distance from O to each dot is the same.
A circle is the set of all points at the same distance from the centre.
Page 78
30. The red point is closest to the centre, because it is less than the radius.
31. AB = AC = AD = 1cм (all radii of the same circle are equal)
Page 79
32. CD is longer because it is closer to the centre.The longest chord is always the diameter.
33. Radius = 4 cm Diameter = 8 cm.
Possible chord lengths: 2 cm, 4 cm, 8 cm. Not possible: 10 cm (cannot be longer than the diameter).
8.Representing 3-D Shapes
Page 81
1.
2. cuboid: 1, 2, 5, 7
cube: 3, 4, 6, 8, 9
Page 82
5. cylinder
6. cylinder: 3, 5, 6, 8, 11, 12 cone: 1, 2, 4, 7, 9, 10
Page 83
6. cones: 1, 5, 8 spheres: 2, 4 cylynder: 3
cubes: 6, 9 cuboids: 7
Page 83
5.
7. 3-dimensional
Page 84
8. square, rectangle, circle and triangle
Page 85
9. circle, square and rectangle, circle and triangle
Page 86
10. circle, square and rectangle, circle and rectangle, circle, circle, circle and rectangle, square, circle
Page 87
11. A cube has 12 edges. A cube has 8 corners. A cylinder has 1 curved surface and 2 flat faces
Page 88
12. Cylinder — 0, Cube — 8, Cone — 1
13. Cylinder — 0, Cube — 8, Cone — 1
14. Cuboid
9.Patterns and Symmetry:
Page 89 1. 2. Page 90 3. Page 91
4. 17
5. 29, 32, 35, 38 10, 6, 2
22, 24, 26, 28
Page 92 6. 7. Symmetrical shapesAsymmetrical shapes
Page 93
10.
Page 93
Page 94 8. 9.
11. Vertically symmetrical (line through the middle, left = right):
A, H, I, M, O, T, U, V, W, X, Y
Horizontally symmetrical (top = bottom): B, C, D, E, H, I, K, O, X
Both vertical and horizontal symmetry: H, I, O, X
12. The STOP sign is an octagon (8 sides). It has 8 lines of symmetry (each line passes through opposite vertices or midpoints of opposite sides).
Road signs often use symmetrical shapes because they are easy to recognize quickly and look the same from multiple directions.
10.Length, Weight and Capacity
Page 95
1. 1 cm = 10 mm
1 dm = 10 cm = 100 mm
1 m = 100 cm = 10 dm
1 km = 1000 m = 10,000 dm = 100,000 cm = 1,000,000 mm
Page 96
2. 1 meter is 100 times a centimetre.
1 kilometer is 1000 times a metre.
3. 1 kilometre = 1000 metres
1 metre = 10 decimetres
1 decimetre = 10 centimetres
1 centimetre = 10 millimetres
4. Kilometres = 3 km
Decimetres = 30,000 dm
Centimetres = 300,000 cm
Millimetres = 3,000,000 mm
Page 97
5. 60 m > 700 cm > 60 dm > 60 cm > 60 mm
6. 350 m > 35 m > 35 dm > 30 cm > 35 mm
Page 98
7. Pin width ≈ 7 mm
Lollipop length = 5 cm + 5 mm = 5.5 cm
8. Pencil = 7 cm, Bottle = 4 cm
Page 99
9. 5 metres
1 decimetre
5 centimetres
5 millimetres
10.
80 m 16 cm = 8 016 cm, which is > 816 cm
315 dm = 31 m 5 dm, which is > 3 m 15 dm
82 mm = 8 cm 2 mm
Page 100
11. Seahorse: 15 mm + 20 mm + 10 mm + 10 mm = 55 mm
Ladybug: 3 dm + 4 dm + 2 dm + 2 dm = 11 dm
Page 100
12. 1 m 23 cm + 2 m 76 cm = 3 m 99 cm 14 cm 5 mm − 4 cm 4 mm = 10 cm 1 mm
13. 135 cm = 1 m 35 cm
2 m 45 cm = 245 cm
5 km 200 m = 5,200 m
8,000 m = 8 km
1 km 350 m = 1,350 m
425 cm = 4 m 25 cm
11 m 25 cm = 1,125 cm
15 km = 15,000 m
Page 101
14. Medical scale
15. 1 kg = 1,000 g
5 tons = 50 quintals = 5,000 kg = 5,000,000 g
17,000 kg = 17 tons = 170 quintals = 17,000,000 g
Page 102
16. 6 7 3 9 1 4
17. 5,800 g = 5 kg 800 g 6 kg 800 g = 6,800 g
Page 103
18. 2kg, 1 kg
19. 6kg, 6 kg
Page 104
20. grams, kilograms, grams
Page 104
21.
2,500 g = 2 kg 500 g
7 kg 600 g = 7,600 g
500 g = 0.5 kg
12,000 g = 12 kg
5 kg 250 g = 5,250 g
6,450 g = 6 kg 450 g
8 kg 75 g = 8,075 g
3,200 g = 3 kg 200 g
Page 105
22. 2 kg 250 g + 4 kg 800 g = 7 kg 50 g
23. 125 kg − 75 kg 500 g = 49 kg 500 g
24. 49 kg × 20 = 980 kg
Page 106
25. 47 kg 800 g ≈ 48 kg
26. They are equal (3 kg 250 g = 3,250 g)
27. 4 kg − 2,300 g = 4,000 g − 2,300 g = 1,700 g = 1 kg 700 g Puppy is heavier.
Page 107
28. 1 L = 1000 mL
29. 2 L milk = 2 packets
4 L lemonade = 4 bottles
3 L water = 3 cans
Total items = 9
Page 108
30. right vessel
31. Same cup poured into A and B. They have equal amounts (the same cup of water).
Page 109
32. 2 L + 4 L 3 L + 4 L
33. 3L + 2L + 2L 3L 3L + 2L 3L + 4L 3L 3L + 3L + 4L
Page 110
34. 2 L, 3 L 2 L 3 L
Page 111
35. 3,500 mL = 3 L 500 mL
8 L 250 mL = 8,250 mL 1,200 mL = 1 L 200 mL
15 L = 15,000 mL
2 L 75 mL = 2,075 mL
8,500 mL = 8 L 500 mL
4 L 600 mL = 4,600 mL 19,500 mL = 19 L 500 mL
36. 9,000 ÷ 750 = 12 bottles
37. 12 L milk ÷ 6 cans = 2 L each
Page 112
38. Water daily 2 L х for 30 days ≈ 60 L
39. ≈ 500 mL
40. One method: Fill 5 L jug, pour into 3 L jug (leaving 2 L). Empty 3 L jug. Pour 2 L into 3 L jug. Fill 5 L jug again, pour into 3 L jug (whichalready has 2 L), so 1 L goes in.
Left in 5 L jug = 4 L.
41. 7 × 1 L bottles
14 × 500 mL bottles
5 × 1 L + 4 × 500 mL
11.Perimeter and Area
Page 113
1. 18 cm, 32 cm, 25 cm, 24 cm
2. P = 79 cm P = 63 cm P = 81 cm
P = 40 cm P= 28 cm P = 48 cm
Page 114
3. 18 + 24 + (18 + 12) = 72 m
9 + 12 + (9 + 3) + (12 – 5) = 40 cm
4. 22 mm, 15 mm, 7dm
Page 115
5. P = 7 + 7 + 14 + 14 = 42 cm
P= 10 + 10+ 20 + 20 = 60 mm
P = 9 +9+ 12+ 12=42 cm
P= 7 + 7+ 12 + 12 = 38 cm
P = 4 + 7 + 4 + 7 = 22 cm
P = 2 + 14 + 2 + 14 = 32 cm
Page 116
6. P = 9 + 5 + 5 + 4 + 5+ 3 + 3 = 34 cm
Yes
7. P = 5 + 5 + 5 + 5 + 2 + 2 = 24 cm
Page 117 9.
a)Number of units = 14, area = 14 cm2
b)29 cm2
c)46 cm2
Page 118
12. Shape A and shape C have same perimeter but different areas.
Shape A and shape B have same area but different perimeters.
Shape B and shape C have different areas but different perimeters.
13.
6 cm 6 cm
6 cm6 cm
8. А (P = 32 mm)
B (P = 36 mm)
C (P = 42 mm)
Page 119 14.
Page 120
15. a) ~32 , b) ~9 , c) ~32 , d) ~14
16. a) ~9 , b) ~5 , c) ~9
Page 121
17.
18. Area = 40 sq. cm
12.Time
Page 123
1. 3 h = 180 min ; 4 h = 240 min
2. 2 h 40 min = 160 min
90 min = 1 h 30 min
2 h 50 min = 170 min
130 min = 2 h 10 min
3. 3 min = 180 sec ; 4 min = 240 sec
4. 125 sec = 2 min 5 sec
2 min 50 sec = 170 sec
145 sec = 2 min 25 sec
3 min 50 sec = 230 sec
Page 124
5. 7:05 7:15 7:45 8:05
Page 125
7. 2:00 4:00 7:00 12:00 8. 1:15 4:40 7:55 9:05 Page 126 8. 10:00 4:45 12:00 9:05 Page 127
10. Mathematical; Physical Education
Page 129
12. 9:00 a.m. = 09:00
3:30 p.m. = 15:30
12:15 a.m. = 00:15 11:45 p.m. = 23:45
13. 06:20 = 6:20 a.m.
14:05 = 2:05 p.m.
23:30 = 11:30 p.m.
00:45 = 12:45 a.m.
14. 3:45 p.m. = 15:45
07:30 = 7:30 a.m.
23:15 = 11:15 p.m.
Page 130
15. 5 h = 300 min
16. 270 min = 4 h 30 min
17. Football match 4:20 p.m. – 6:05 p.m. = 1 h 45 min
18. Music lesson 15:45 – 17:10 = 85 min
Page 131
19.
2 days = 48 h ; 8 days = 192 h ; 3 days = 72h
20. 2 d 2 h = 50 h
36 h = 1 d 12 h
2 d 12 h = 60 h
40 h = 1 d 16 h
21.
5 weeks = 35 d ; 4 weeks = 28 d ; 8 weeks = 56 d
Page 132
22. 1 week 5 d = 12 d
23 d = 3 w 2 d
2 w 5 d = 19 d
29 d = 4 w 1 d
Page 132
23. 2026 = 365 d
12 months
52 weeks 1 day
Page 133
24. Autumn: 3 months, 91 d Winter: 3 months, 90 d
Page 134
25. March, May, July, August, October, December
26. April, June, September, November
27. 2 Feb = Sun
29 Jan = Wed
7 Feb = Fri
28. May 1 = Mon May 9 = Tue May 18 = Thu
13.Money
Page 135
2. all options
Page 136
3. 522₹ 1270₹ 1157₹
4. a) ₹132 − ₹123 = ₹9
b)₹1197 − ₹536 = ₹661
c)₹1270 − ₹920 = ₹350
Page 137
5. all options
6. ₹3.75 = 375 paise
₹10.50 = 1050 paise
₹125.00 = 12500 paise
6. 485 paise = ₹4.85
760 paise = ₹7.60 12450 paise = ₹124.50
Page 138
8. ₹12.50 + ₹7.50 = ₹20.00
9. 45.00 + 23.50 + 31.50 = ₹100.00
10. Three hundred twenty-five rupees and fifty paise
11. ₹643.25
Page 139
12. ₹500 − ₹348.75 = ₹151.25
13. 1250 − 925 = 325 paise
14. ₹256.50 + ₹189.25 = ₹445.75
15. ₹97.50 ≈ ₹100
Page 140
16. ₹348.75 + ₹652.20 ≈ ₹1000 (точно 1000.95)
17. 5.50 = 550 paise
18. ₹50 ÷ 2 = 25 coins
Page 141
19. Seven hundred forty-two rupees and fifteen paise
20. ₹384.50
21. ₹81.50
22. 4560 paise
Page 142
23. 2 pens (₹24) + eraser (₹6) + sharpener (₹5) = ₹35
24. 3 × 85.50 = ₹256.50
25. 99999 paise
26. 128.75 − 75.25 = ₹53.50
Page 143
27. 3 × ₹20 + 2 × ₹20 = 100 or 2 × ₹20 + 2 × ₹15 + 1 × ₹30
28. 4 × 7.50 = 30.00
2 × 22.25 = 44.50
Total = ₹74.50
29. 1000 − 865.75 = ₹134.25
30. 115 × 24 = ₹2760
Page 144
31. ₹489.75 ≈ ₹500
32. ≈ ₹300 + ₹500 = ₹800
33. ₹799 clearer
34. ₹349.99 seems cheaper
145 1. 4, 2, 1
3, 4
3, 1, 5
6. 1st place — Zubair (gold) 2nd place — Mirza (silver) 3rd place — Avinash (bronze)
7. boats: 1st — 10 s 2nd — 11 s 3rd — 12 s 4th — 13 s 5th — 14 s cars: 1st —18 s 2nd — 20 s 3rd — 22 s 4th — 24 s 5th — 28 s
Page 151
9. Bhumi & Neelam: russules together
Russules: Bhumi 5 + Neelam 10 = 15 pieces.
10. Aakriti & Mahi: total seashells
Seashells: 5 + 9 = 14 seashells.
Page 152
11. Vruti & Ruchika: how many more lilies
Ruchika 7 − Vruti 3 = 4 lilies.
12. Kartik & Aditya: how many more robots
Kartik 4 − Aditya 1 = 3 robots.
Page 153
13. Fruits
Strawberry
Page 154
14. blue red green
Clothes
Footwear
Books
Toys
Page 155
Purple Yellow Pink
15. 14 m 15 m
5 cm 8 cm
14 m 32 m
5 km 9 km
Page 156
16. Parth, 7 years old, 1 klass, music
Tanvi, 9 years old, 3 klass, readind
17. Raghav, parrot, chess, yellow Natali, cat, spor, green
Page 157
18.
Ahmedabad: partly cloudy, day +15°C, night +10°C.
Jaipur: rainy, day +15°C, night +12°C.
Hyderabad: partly cloudy, day +14°C, night +10°C.
Summary: Rain is expected in Jaipur; no thunderstorms.
Mumbai: sunny, day +25°C, night +20°C.
Surat: thunderstorms/rain, day +20°C, night +14°C.
Pune: sunny, day +28°C, night +25°C.
Summary: Heavy rain with thunderstorms in Surat; sunny and dry in Mumbai and Pune.
Bangalore: sunny, day +20°C, night +17°C.
Kolkata: partly cloudy, day +20°C, night +15°C.
Chennai: sunny, day +21°C, night +17°C.
Summary: No rain or thunderstorms in these cities.
Page 158
19.
Postcard 1: Chandigarh (+21, cloudy).
Postcard 2: Ahmedabad (+18, rain).
Postcard 3: Jaipur (+21, sunny).
Page 159
20.
Apple tree: 5 + 3 = 8
Cherry tree: 3 + 2 = 5
Sea buckthorn: 4 + 2 = 6
Tulips: 6 + 3 = 9
Daffodils: 4 + 2 = 6
Crocuses: 9 + 6 = 15
Page 160
21.
Password 1: LL245GK — Letters = 4, Digits = 3
Password 2: 11598AAA — Letters = 3, Digits = 5
Password 1: ABCD1234 — Letters = 4, Digits = 4
Password 2: 6540YZ — Letters = 2, Digits = 4
Page 161
222.
Who has the most postcards? — Lalit (4)
Who has the least stamps? — Kushal (3)
Who has the most erasers? — Akshita (2) Who has the least pens? — Neha (4)
Page 162
23.
High jumps. Best: Shreya Ball throwing. Best: Kiara Rope jumps. Best: Aarohi Long jumps. Best: Aryan Push ups. Best: Dhruv Pull ups. Best: Vedant
Page 163
24. 7,12,4
Page 163
25. Because it is easier and faster to count in groups of 5.
For example, you can quickly see 15 as three groups of 5.
If it were grouped by 10, it would take longer to recognize.
26. Apples = 3 Oranges = 2 Bananas = 4
Page 164
27. Cricket – 12 ||||̶ ||||̶ || Football – 8 ||||̶ ||| Badminton – 5 ||||̶ Swimming – 10 ||||̶ ||||
28. a) 5 b) 3 c) 27
Page 165
29. Number of fruits: 5 × 2 = 10 fruits
30. a) 20 b) Red c) 20 + 10 + 15 = 45
Page 166
31. Class A: 10 ÷ 5 = 2 symbols
Class B: 15 ÷ 5 = 3 symbols
Class C: 5 ÷ 5 = 1 symbol
32. a) School 3 ate the most oranges. b) Difference: 40 – 20 = 20 more oranges
Page 167
33. Dogs = 14 ÷ 2 = 7
Cats = 8 ÷ 2 = 4
Birds = 10 ÷ 2 = 5
Using 2 pets is easier to read because it is more exact.
34. Apples: 10
Bananas: 8
Grapes: 12
Most popular: Grapes
Page 168
35.
a)Equal sales: January and April (15 each)
b)May = 25 25 ÷ 5 = = 5 symbols
36. Asha Rina:
Mohit: Asha:
Kiran:
Page 169
37. Ananya have 6 mistakes
Prisha made fewer mistakes than the others
Page 170
39. Waffles, Football, Rolls
Page 171
40. 18 days, on 12, on 9
Page 173-174
48. False, True, True, 4 True, False, True, 8 False, True, 1 False, True, 7
47.
Dolls
Balls Cubes
ISBN: 978-93-89789-43-0
