07.The Cleanest Village- Worksheet Solutions

Section A: Multiple Choice Questions 

1. If a person pays ₹500 for groceries and the total cost is ₹425, what is the balance the shopkeeper gives back?

a) ₹60
b) ₹75
c) ₹80
d) ₹85

Answer: b) ₹75
Solution: Balance = ₹500 – ₹425 = ₹75.

2. If you have ₹300 and buy a notebook for ₹150, how much money do you have left?a) ₹100
b) ₹120
c) ₹130
d) ₹150

Answer: ₹150
Solution: Remaining money = ₹300 – ₹150 = ₹150.

Section B: Fill in the Blanks

3. 

Ans:   400 – 321 = 79


4. 

Ans: 591 – 360 = 231

5.  

Ans: The subtraction of 8617 and 4223 results in 4394


6. 

Ans: The missing numbers are 6328, 2725, 3603

7. Find the difference between : 
(a)
 256 – 153 = 103
(b)
 781 – 651 = 130

Section C: Word Problems

8.  If a child has ₹500 and spends ₹250 on a book and ₹100 on snacks, how much money does the child have left?

Answer: ₹150
Solution: 
₹500 – ₹250 – ₹100 = ₹150.

9. In a store, a t-shirt costs ₹350, a pair of jeans costs ₹550, and a cap costs ₹150. How much money is needed to buy all three?

Answer: ₹1,050
Solution:
 ₹350 + ₹550 + ₹150 = ₹1,050.

10. A family spent ₹2000 on groceries. If they paid ₹1200 in cash and the rest using a card, how much did they pay with the card?

Answer: ₹800
Solution: 
₹2,000 – ₹1,200 = ₹800.

11. A person buys 3 tickets to a movie at ₹150 each and 2 tickets to a play at ₹200 each. What is the total cost?

Answer: ₹850
Solution: 
(3 × ₹150) + (2 × ₹200) = ₹450 + ₹400 = ₹850.

06.Measuring Length in- Worksheet Solutions

Q1: Convert to the units shown.

(i) 54 m = ____ cm

Ans: 5400 cm (54 m x 100 = 5400 cm)

(ii) 55 m = ____ cm

Ans: 5500 cm (55 m x 100 = 5500 cm)

(iii) 69 m = ____ cm

Ans: 6900 cm (69 m x 100 = 6900 cm)

(iv) 63 m = ____ mm

Ans: 63000 mm (63 m x 1000 = 63000 mm)

(v) 53 cm = ____ mm

Ans: 530 mm (53 cm x 10 = 530 mm)

Q2: Convert into metres.

(i) 7 km = ____ m
(ii) 2 km 500 = ____ m
(iii) 15 km 305 m = ____ m
(iv) 9 km 50 m = ____ m
Sol:  
(i) 7000 m (As1 km = 1000 m)
(ii) 2500 m (As 2 km 500 m = 2 x 1000 + 500 m = 2500m)
(iii) 15305 m (As 15km 305m = 15x 1000 + 305 = 15000 + 305 = 15305m
(iv) 9050 m

Q3: Multiple Choice Questions (MCQs).(i) Circle the longest box.
(a) 
(b) 
(c) 
(d) 
Sol: 
(d)

(ii) Which city has the farthest distance point X?
(a)
 City A
(b) 
City B
(c) 
City C
(d) 
City D
Sol:
 (c)

Q4: Fill in the blanks.

(a) 10 m = ____ cm
(b) 50 m = ____ cm
Sol:
 (a) 1000 cm
(b) 5000 cm

Q5: Answer the following Questions.(i) Complete the table
Sol:

(ii) A room has 6 m length and 4 m breadth. What is the perimeter of the room?
Sol: 
Length of room = 6 m
Breadth of room = 4 m
Perimeter of room = Perimeter of rectangle = 2 x (length + breadth) = 2(6+4) = 2 x 10 = 20 m

(iii) How much money does Renu have if she has 5 (₹ 10 notes) + 3 (₹ 50 notes) + 10 (₹ 100 notes) =  
Sol: Total money Renu has = (5×10) + (3×50) + (10×100) = ₹ 1200

(iv) Find the perimeter of the given figure.
Sol: 
The given figure is a shape ( all sides are equal with side length = 100 m, and all angles are also equal with each angle = 90o)
Perimeter of a square = 4 x side length = 4 x 100 = 400 m

(v) Ram is 1 m 23 cm tall. Seeta is 12 cm shorter than Ram. What is their total height?
Ans:
 Height of Ram = 1 m 23 cm = 1×100 + 23 = 123cm (Because 1m = 100cm)
Height of Seeta = Height of Ram – 12cm = (1m 23 cm -12 cm) = 1 m 11 cm = 111cm
Total height of the two =  123 cm + 111 cm = 234 cm =1 m 23 cm + 1 m 11 cm = 2 m 34 cm

(vi) Find the total distance covered by Mohan from home to school.

Sol: Total distance covered = (5 + 1 + 8 + 4)km

(vii) Ram is 150 cm tall and his sister Teena is 115 cm tall. Who is taller and by how many cms?

Sol:
 Height of Ram = 150 cm
Height of Teena = 115 cm
The difference in their heights = 150 – 115 = 35 cm
Hence, Ram is taller than Seeta by 35 cm.

(viii) Using a ruler, draw lines of following measurements
(a) 7.7 cm
(b) 6.5 cm
Sol: 
Students should draw it themselves.

05.Sharing and Measuring- Worksheet Solutions

Q1. Think and Choose:

(i) Would you like one-half of a paper or two-quartersof the same paper? Why?

Ans: Both are equal. 

(ii) If a dhokla is shared equally among 5 children, what fraction of the dhokla does each child get?

Ans: You have 1 big dhokla (a soft, yummy snack).
Now, you want to share it equally among 5 children.

So, you cut the dhokla into 5 equal pieces.
Each child will get one of those pieces.

That one piece is 1 part out of 5, or we say “one-fifth”, and we write it as:

1/5

(iii) Which is more?
a) 1/2 or 1/4

Ans: 1/2 is more

Imagine cutting a pizza into 2 equal pieces.

Now imagine cutting the same pizza into 4 equal pieces.

The piece from 1/2 is bigger than the piece from 1/4.
So, 1/2 is more.

b) 1/3 or 1/6

Ans: 1/3 is more

Let’s take a chocolate bar.
If you break it into 3 equal parts, each part is bigger than when you break it into 6 equal parts.
So, 1/3 is more than 1/6.

Q2. Draw and Divide:

(i) Draw a rectangle. Show 2 different ways to divide it into 2 equal halves.

Ans:Rectangle is divided into two equal halves in two different ways

(ii)  Draw a circle. Divide it into 4 equal parts and shade one-quarter (¼).

Ans: 

(iii)  Draw a square and divide it into 8 equal parts. Shade 3/8 of it.

Q3. Food Fun Fractions:

(i)  Ramu made a big paratha and cut it into 4 equal parts. He ate 1/4 and gave 2/4 to his sister.
How much of the paratha is left?

Ans: The whole paratha has 4 parts.

Ramu ate 1 part, and his sister got 2 parts.

Together they ate: 1 + 2 = 3 parts

Only 1 part is left out of 4.
1/4 of the paratha is left.

Q4. Equal or Not?

a) shared by 2 friends: each gets .

b)  shared by 2 friends: 1 gets  and 1 gets .

c)  shared by 3 friends: each gets .

(i) Choose options that are divided equally:

Ans: (a) and (c) are shared equally.

Because in both parts, each gets same no. of item.

(ii) Which of the above is not shared equally?

Ans: (b) is not equal – one got more!

04.Thousands Around Us- Worksheet Solutions

Q1: Multiple Choice Questions

1. Which digit is in the thousands place in the number 5,672?
a) 5
b) 6
c) 7
d) 2

Answer: a) 5

Explanation: The number is 5,672. The first digit from the left is in the thousands place. So, 5 is in the thousands place.

2. What is the correct expanded form of 3,045?
a) 300 + 40 + 5
b) 3,000 + 400 + 5
c) 3,000 + 40 + 5
d) 30,000 + 400 + 5

Answer: c) 3,000 + 40 + 5

Explanation: In 3,045 → 3 is in the thousands, 0 is in the hundreds, 4 is in the tens, and 5 is in the ones.

3. Which of the following numbers is the largest?
a) 2,099
b) 2,909
c) 2,990
d) 2,999

Answer: d) 2,999

Explanation: 2,999 is the biggest because it is just one less than 3,000.

4. How many hundreds are there in 1,500?
a) 5
b) 15
c) 150
d) 1,500

Answer: b) 15

Explanation: 1,500 ÷ 100 = 15. That means there are 15 hundreds in 1,500.

Q2: Answer the Following Questions

5. Write the place value of the digit 3 in 7,832.
Answer: Tens place (30). In 7,832, the 3 is in the tens place, so its value is 3 × 10 = 30.

6. Form the smallest 4-digit number using the digits 4, 0, 9, 2 without repetition.
Answer: 2,049. The smallest digit (other than 0) should be in the thousands place. So, we use 2 first.

7. Regroup 2,563 as thousands + hundreds + tens + ones.
Answer: 2,000 + 500 + 60 + 3.

8. Use >, <, or = to compare: 4,321 ___ 4,231.
Answer: 4,321 > 4,231. Compare the hundreds place — 3 is more than 2.

9. Complete the pattern: 1,250, 1,500, 1,750, ___.
Answer: 2,000 (increasing by 250).

10. Convert 6,208 into expanded form.
Answer: 6,000 + 200 + 8.

Q3: Word Problems

11. A library has 2,345 books. If 1,230 books are fiction, how many are non-fiction?

Answer: 2,345 – 1,230 = 1,115 non-fiction books.

12. In the number 8,765, the digit 6 represents a value greater than its actual place. How?
Answer: It represents 60 (tens place), not 6 (ones).

13. A school has 1,800 students. If 30 students fit in a bus, how many buses are needed?
Answer: 1,800 ÷ 30 = 60 buses.

14. Represent 2,000 and 2,500 on a number line. What is the difference between them?
Answer: 500 (2,500 – 2,000).

15. Write 5,67,890 in words using the Indian number system.
Answer: Five lakh sixty-seven thousand eight hundred ninety.

16. How many hundreds blocks are needed to represent 3,700?
Answer: 37 (3,700 ÷ 100).

17. A sequence starts at 3,000 and decreases by 150 each time. Write the next two terms.
Answer: 2,850, 2,700. 

3,000 – 150 = 2,850 → 2,850 – 150 = 2,700

18. Explain why 4,050 is greater than 4,005 using place value.
Answer: Tens digit (5 > 0).

19. A stadium has 9,999 seats. If 5,678 seats are occupied, how many are empty?

Answer: 9,999 – 5,678 = 4,321 seats

20. Add 2,000 + 300 + 50 + 4. Write the standard form.
Answer: 
2,354.

03.Patterns Around Us- Worksheet Solutions

Section A: Multiple Choice Questions

1. Which of the following is an example of an even number?
a) 13
b) 18
c) 21
d) 25

Answer: b) 18

Explanation: 18 is even because it can be divided by 2 without any leftover.

2. If coins are arranged in a flower pattern with 1 coin in the center and 6 coins around it, how many coins are there in total and is it a odd or an even number?
a) 6, even
b) 7. odd
c) 6. odd
d) 7, even

Answer:b) 7, odd

Explanation: 1 coin in the center + 6 coins around it = 7 coins.
7 is an odd number because it can’t be split into 2 equal groups.

3. Which of the following numbers is odd?
a) 24
b) 30
c) 35
d) 42

Answer: c) 35  

Explanation: 35 is odd because it does not divide evenly by 2.

Section B: Answer the Following Questions

4. List the odd numbers between 10 and 20.
Answer: 11, 13, 15, 17, 19

5. Complete the pattern: 4, 8, 12, __, 20.
Answer: 16

6. If you have 4 notes of  ₹10  and 5 coins of  ₹2, what is the total amount?

Answer: 4 notes of 10 = 4 x ₹10 = ₹40
5 coins of ₹2 = 5 x ₹2 = ₹10
Total amount = ₹40 + ₹10 = ₹50

7. Can 16 balls be divided equally into 2 groups? If yes, how many in each group?

Answer: Yes, 16 balls can be divided equally into 2 groups.

  • We can use division to solve this: 16 ÷ 2.
  • 16 divided by 2 equals 8.

8. Make two-digit numbers using digits 2 and 7 and identify a 2-digit even number.
Answer: We can make two numbers 27 and 72, using 2 and 7.
Now out of these two, 72 is an even number.

9. What is the 5th term in the pattern: 3, 6, 9, 12, ___?
Answer: 15
The terms are: 3 (1st), 6 (2nd), 9 (3rd), 12 (4th).
Each term increases by 3:

  • 3 + 3 = 6
  • 6 + 3 = 9
  • 9 + 3 = 12 So, to get the 5th term, we add 3 to the 4th term:
  • 12 + 3 = 15

Section C: Word Problems

10. Raju arranges 12 coins in a rectangle with 3 coins in each row. How many rows are there?
Answer: 4 rows 
Raju has 12 coins.
Each row has 3 coins.
We divide the total coins by the coins per row: 12 ÷ 3 = 4.

11. Sita has 23 pencils. Can she share them equally between 2 friends? Answer: No, 23 is odd and leaves 1 pencil unshared.
Hence it cannot be shared.

12. Describe how to arrange 9 coins in a flower pattern (1 center + surrounding coins).
Answer: 1 center coin + 8 outer coins.
13.  Find odd and even numbers from the given image.
Answer: 
Odd Numbers: 3, 13, 19, 5, 11
Even Numbers: 8, 26, 12, 30 

14. If 30 students are to be divided into groups of 5, how many groups are formed?
Answer: 6 groups.

  • To figure out how many groups we can make, we divide the total number of students by the number of students per group: 30 ÷ 5.
  • 30 ÷ 5 = 6.
  • So, we can form 6 groups.

02.Hide and Seek- Worksheet Solutions

Section A: Guess the View

Q1. A child saw a chair from above. What type of view is it?

Ans: Top View

Q2. Which view will show the legs of a table?

Ans: Side View or Front View

Q3. Tell the view type of given objects:

Ans: 

When we look from above, we see the flat top of things.
From the side, we see the shape or height.
From the front, we see what is in front of our eyes, like a face.

Section B: Map Walkers

Q4. From the Music Room , which is the shortest route to the Mr. Green’s Room?

Ans: From Musical Room to Main office and then to Mr. Green’s Room.

Q5. If Vaibhav goes from the playground to the Gym, and Vanshika goes to the Miss FAY’s Room, whose route is shorter? Explain why.

Ans: Vaibhav’s Route: Playground → Gym
Vanshika’s Route: Playground → Gym → Main Office → MISS FAY’S Room

Vaibhav’s route is shorter because Gym is closer to the playground.

Q6. The water delivery man enters from Art Room. Guide him to reach the Cafeteria.

Ans: From Art Room go straight to Main Office and then turns right.

Section C: Grid Puzzle

Q7. Fill the 4×4 grid using these clues:

  • Ball at bottom left
  • Pencil at top right
  • Water bottle in second row and third column
  • Eraser at top left

Ans:

Q8. Imagine you are in a 3×3 grid. You are at the middle square. Follow these directions:

“Move one step right, then one step down.”
Where are you now?

Ans: 

At Row 1, Column 3

Section D: Identify the Object

Q9. Identify the object and its view:

A circular shape with a small cap on top, no visible base, and looks flat.

Ans: Object: Water Bottle, View: Top View

From above, a water bottle looks like a circle with a small cap in the middle. You can’t see the base because you’re looking from the top. So, it’s a top view of a water bottle.

Q10. This object looks like:

  • Circle from top
  • Triangle from side

What is the object?

Ans: Cone

01.Shapes Around Us- Worksheet Solutions

Section A: Multiple Choice Questions

1. Which of the following shapes has no vertex?
A. Cube
B. Cone
C. Cylinder
D. Sphere

Answer: Sphere (D)
Explanation: A sphere is completely round and has no corners or vertices.

2. Which of these objects can roll and slide?
A. Ball
B. Cone
C. Book
D. Dice

Answer: Cone (B)
Explanation: A cone can roll on its curved surface and slide on its flat face.

3. How many edges does a cuboid have?
A. 6
B. 8
C. 12
D. 10

Answer: 12 (C)
Explanation: A cuboid has 12 edges.

4. Which shape has 1 curved surface and 1 circular face?
A. Cone
B. Cylinder
C. Sphere
D. Cuboid

Answer: Cone (A)
Explanation: A cone has exactly one circular flat face and one curved surface.

Section B: Fill in the Blanks

5. Number of faces in a cube = 6

6. Number of edges in a cuboid = 12

7. Number of corners in a cone = 1

8. Total number of curved surfaces in 3 cylinders = 3 (1 curved surface per cylinder × 3)

9. A cylinder has how many faces + edges + corners (add total) = 3 
(2 flat faces + 1 curved face + 0 edges + 0 corners = 3)

10. Number of square faces in 2 dice = 12 (6 square faces × 2 dice)

Section C: Match the following

11.

Answer: 

Section D: Word Problems

12. Tara made a building using 3 cubes and 2 cuboids. Find the total number of faces, edges, and corners in her model.

Answer: Faces: Cube (6×3 = 18), Cuboid (6×2 = 12). Total = 30
Edges: Cube (12×3 = 36), Cuboid (12×2 = 24). Total = 60
Corners: Cube (8×3 = 24), Cuboid (8×2 = 16). Total = 40

13. A cold drink can is in the shape of a cylinder. Does it have any corners? How many faces does it have?

Answer: No, it has 0 corners. 
It has 3 faces (1 curved face, 2 circular flat faces).

14. You have a cylinder open from the top and the bottom. If you open it like a mat, what shape do you see? 

Answer:  If we opened it like a mat , we will get a rectangle.

15. Your classroom dustbin is in the shape of a cylinder. Find the number of flat and curved surfaces.

Answer: A cylindrical dustbin has 2 flat surfaces and 1 curved surface.

16. Which shape has more corners: a cube or a cone?

Answer: A cube has more corners (8 corners). A cone has only 1 corner at the tip
Hence, A cube has more corners than a cone.

14.Data Handling- Textbook Worksheet

Q1. Grade 8 students recorded the colours of cars that drove by their school over a five minute period. Each car picture = 1 car. 

Complete the following questions:

a) What colour car was the most popular?

b) What colour car was recorded six (6) times?

c) What is the total number of red and white cars recorded?

Q2. In a class, children were asked about their favourite fruits. Each fruit symbol in the chart below represents one child’s choice. The chart shows how many children liked each type of fruit — bananas, apples, oranges, avocados, and pears.

a) How many children like pear? 

b) Which fruit do children like the most?

c) Which fruit do children like the least? 

Q3. The bar graph shows how many students liked different school subjects: Math, Science, Sport, History, and STEM (Science, Technology, Engineering, and Math). Each bar’s height tells us the number of students who liked that subject.

a) How many liked  STEM? 

b) What was the least preferred subject? 

c) How many students were surveyed altogether? 

Q4. The following pictograph shows the number of pet animals sold in a month –
Each symbol  = 5 pets

(i) How many more Cats were sold as compared to Sheep ?
(a) 25
(b) 10
(c)  20

(ii) How many Parrots were sold in a month?
(a) 16
(b) 15
(c) 10

(iii) Which pet was sold the most ?
(a) Parrot
(b) Rabbit
(c) Dog

(iv) How many Dogs were sold in a month ?
(a) 35
(b) 55
(c) 30

(v) Which pet was sold the least ?
(a) Dog
(b) Cat
(c) Sheep

Q5. The total number of animals in five villages are given below:

Draw a pictograph to represent the above data.

You can see the solutions of worksheet here.

13.The Transport Museum- Textbook Worksheet

Q1: Multiple Choice Questions 

1. What is the product of 15 × 14?
a) 200
b) 210
c) 220
d) 230

2. Which of the following is equal to 24 × 100?
a) 240
b) 2,400
c) 24,000
d) 240,000

3. A bus can seat 20 people. How many people can 12 buses seat?

a) 220
b) 240
c) 260
d) 280

4. What is the remainder when 324 is divided by 14?
a) 2
b) 4
c) 6
d) 8

Q2: Answer the Following Questions

5. Solve: 11 × 200.

6. Calculate: 40 × 50.

7. Find the product: 16 × 100.

8. Divide: 400 ÷ 20.

9. Solve: 7 × 25.

10. What is 30 × 200?

Q3: Word Problems

11. A train has 24 coaches, each carrying 72 passengers. How many people can travel on the train?

12. A brick kiln produces 125 bricks daily. How many bricks are made in a 30-day month?

13. 870 bananas are packed in bunches of 10. How many bunches are there?

14. A school trip has 36 students and 6 teachers. Each bus seat fits 2 people. If there are 25 seats, are there enough seats?

15 ₹1,000 is divided equally among 10 grandchildren. How much does each get? 

16. If 64 flights carry 152 people each, how many people were there in total?

17A boat ride costs ₹1,200 for 8 people. What is the cost per person?

18A bus ticket costs ₹60, and a boat ride costs ₹1,200 for 8 people. What is the total cost per person?

19A snake boat is peddled by 128 people. How many people are needed for 5 such boats?

20Compare: 15 × 100 vs. 15 × 200. Which is greater?

12 Ticking Clocks and Turning Calendar- Textbook Worksheet

Q1: Look at the clock and choose the correct time.

(i) The clock shows: 

(a) It’s two o’clock

(b) It’s twelve o’clock

(ii) The clock shows: 

(a) It’s nine o’clock

(b) It’s eight o’clock

(iii) The clock shows: 

(a) It’s eleven o’clock

(b) It’s ten o’clock

(iv) The clock shows: 

(a) It’s three o’clock

(b) It’s seven o’clock

(v) The clock shows: 

(a) It’s five o’clock

(b) It’s four o’clock

Q2: Fill in the blanks.

(i) 15 month = ______ year ______ months

(ii) 2 weeks 1 day = ______ days

(iii) 18 months = ______ year ______ months

(iv) 1 week 3 days = ______ days

Q3: Fill the boxes with >, < or =.

(i) 80 min  1 Hrs. 15 min

(ii) 2 Hrs. 20 min  200 min

(iii) 125 min  1 Hrs. 25 min

(iv) 150 min 1 Hrs. 50 min

(v) 6 Hrs. 10 min  5 Hrs. 58 min

Q4: Answer the following Questions.

(i) Change the following to 24 hour clock: 2:30 afternoon

(ii) How many months begin their names with the letter ‘J’?

(iii) Solve the following questions
(a) Laali is born on 04/07/2014 and Chotu is born on 04/12/2019. 
Who is older among the two and how much ?

(b) Laali will turn 5 years old on ___________.
Chotu’s 10th birthday will be celebrated on ___________.

(iv)  Change the following to a 24-hour clock: 8:20 at night.

(v) Renu started hes homework at 2:35 pm. She took 2 hours and 15 minutes to complete her homework. When did she finish her homework?

(vi) Draw the hands to show the given time. 4:05

(vii) A train leaves at 9.30 at night. This time written in 24 hour clock is  ____

(viii)

(ix) August 12 is a Tuesday. What are the next two Tuesdays?

You can access the solutions to this worksheet here.