Each of our Ganita Prakash Class 7 Worksheet and Class 7 Maths Chapter 2 Arithmetic Expressions Worksheet with Answers Pdf focuses on conceptual clarity.
Class 7 Maths Chapter 2 Arithmetic Expressions Worksheet with Answers Pdf
Arithmetic Expressions Class 7 Maths Worksheet
Class 7 Maths Chapter 2 Worksheet with Answers – Class 7 Arithmetic Expressions Worksheet
Tick (✓) for the correct option
Question 1.
The value of the expression 12 + 5 is
(a) 20
(b) 19
(c) 16
(d) 17
Question 2.
Which of the following has the greatest value?
(a) 30 + 60
(b) 13 x 7
(c) 44 – 24
(d) 54 ÷ 2
Question 3.
Which of the following expressions has the same value as the expression 12 x 3?
(a) 35 + 2
(b) 50 – 11
(c) 9 × 4
(d) 7
Question 4.
Which of the following has the smallest value?
(a) 300 + 15
(b) 15 + 6
(c) 25 – 23
(d) 113 × 3
Question 5.
Which of the following is not a complex expression?
(a) 12 + 6 × 3
(b) 7 + 4 – 2
(c) 20 + 5
(d) 4 + ( 11 – 9)
Question 6.
The value of the expression 100 – (60 + 30) is
(a) 20
(b) 10
(c) 110
(d) 90
Question 7.
The value of the expression 10 + (2 × 7) – (8 + 4) is
(a) 24
(6) 28
(c) 20
(d) 22
Question 8.
The value of the expression 100 + 3 × 7 is
(a) 121
(b) 124
(c) 120
(d) 721
Question 9.
25 – (6 + 3) =
(a) 25 – 6 – 3
(b) 25 + 6 – 3
(c) 25 – 6 + 3
(d) 25 + 6 + 3
Question 10.
45+ (12 – 18)=
(a) 45 – 12 – 18
(b) 45 – 12 + 18
(c) 45 + 12 + 18
(d) 45 + 12 – 18
Question 11.
If 100 + 75 = 175, then 100 + 85 =
(a) 85
(b) 185
(c) 180
(d) 175
Question 12.
If 500 – 300 = 200, then 600 – 300 =
(a) 400
(b) 200
(c) 300
(d) 900
Question 13.
The value of the expression 100 – (50 + 30) is
(a) 20
(b) 10
(c) 110
(d) None of these
Question 14.
The value of the expression 10 – 1 – 2 × 7 – 8 + 2 is
(a) 24
(b) 29
(c) 20
(d) None of these
Question 15.
Out of 12 × 8 + 4, 12 + 4 × 8, 12 × 4 × 8 and 12 + 4 + 8, the expression with the greatest value is
(a) 12 × 4 × 8
(b) 12 + 4 + 8
(c) 12 + 4 × 8
(d) 12 × 8 + 4
Question 16.
120 – 18 + 12 – 50 can be written using brackets as
(a) 120 -(18 + 12 + 50)
(b) 120 + (18 – 12 – 50)
(c) 120 – (18 + 12 – 50)
(d) None of these
Assertion-Reason Questions
In questions 1 – 4, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.
Question 1.
Assertion (A) : 125 – (45 + 20) = 125 – 45 – 20.
Reason (R) : If a bracket is preceded by a negative sign, the signs inside the bracket change.
(?) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A),
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Question 2.
Assertion (A) : 238 x (45 + 55) = 238 x 55 – 238 x 55
Reason (R) : The multiple of a sum is the same as the sum of the multiples.
(?) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Question 3.
Assertion (A) : 700 + 300 = 710 + 290.
Reason (R) : term 1 + term 2 = term 2 + term 1
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Question 4.
Assertion (A) : 85 × (35 – 10) = 85 × 35 – 85 × 10.
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Question 5.
Assertion (A) : Expression 5 × 8 + (- 4) has two terms.
Reason (R) l In an expression, terms are the parts of the expression separated by a ‘x’ sign.
(?) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Question 6.
Assertion (A) I Adding the terms of the expression (- 5) + 10 + (- 11) in any order gives the same result -8.
Reason (R) i Grouping and reordering the terms do not change the sum.
(a) Both (A) and (R) are true, and (R) is the correct explanation of (A).
(b) Both (A) and (R) are true, but (R) is not the correct explanation of (A).
(c) (A) is true, but (R) is false.
(d) (A) is false, but (R) is true.
Fill in the blanks
1. The value of the expression 18 + 3 is _____.
2. Compare: 12 + 8 _____ 22-2
3. Compare: 330 + 70 _____ 410 – 10
4. 22 + _____ = 6 × 5
5. An expression having at least _____ terms is called a complex expression.
6. The value of 100 + (5 × 8) is _____.
7. Grouping the terms of an expression in either way gives the same value. This is called _____ property.
8. 428 + 729 = _____ + 428
9. 364 – 99 = 364 – 100 + _____
10. 238 + = 190 + _____
11. 250 – 150 = 260 – _____
12. 500 – ( 50 – 60) = 500 – 50 + _____
13. 12 × (13 + 4) = 12 × 13 + 12 × _____
14. 15 × (60 – _____) = 15 × 60 – 15 × 6
15. 521 × 99 = _____ × (100 – 1)
16. 600 × _____ = 600 × (1000 – 1)
17. 24 + (6 – 4) = 24 + 6 + _____
18. 117 – 69 = (- 168) + _____.
19. 12 + _____ = 3 × 6
20. 20 × (40 + 5) = 20 × _____ + _____ × 5
21. A book costs ₹ 10. The expression to represent the cost of 5 books is ₹ _____
Write (T) for true or (F) for false for the given statements
1. 12 × 15 > 170 + 20.
2. 36 – 6 < 16 × 3.
3. The value of 67 × 2 is 134.
4. Consider the expressions: 10 × 3, 20 + 9, and 41 – 10. The third expression has the greatest value.
5. 12 + 9 – 6 is a complex expression.
6. To find the value of 100 + (2 × 9) we first add 100 and 2, and then multiply by 9.
7. DMAS stands for divide, multiply, add and subtract.
8. term 1 + term 2 = term 2 + term 1, is called commutative property.
9. 82-(11 + 19) = 82 – 11- 19
10. 36 + (- 12 + 8) = 36 + 12 – 8
11. 100 + 200 is the same as 95 + 205.
12. 200 – 150 is the same as 190 – 160.
13. 100 × (50 + 60) = 100 × 50 + 100 × 60
14. 60 × (70 – 20) = 60 × 70 + 60 × 20.
15. The product of 73 and 99 can be found by multiplying 73 by 100 and subtracting 73 from it.
16. The product of 205 and 999 can be found by multiplying 205 by 1000 and subtracting 1 from it.
17. Addition of the terms of an expression in different orders gives the different values.
18. 78 × 21 – 18 > 78 × 19 + 10
19. 16 – (8 + 2) = 16 – 8 – 2
20. The product of 86 and 99 can be found by multiplying 86 by 100 and subtracting 14 from it.
Match the following:
| Column A | Column B |
| (a) 15 + 17 – 14 | (i) 80 |
| (b) 8 – 7 + 4 × 2 | (ii) 28 |
| (c) (3 + 10) × 8 | (iii) 18 |
| (d) 14 × 10 – 6 × 10 | (iv) 9 |
| (e) 77 – (7 × 7) | (v) 104 |
Very Short Answer Type Questions
Question 1.
Anushka buys 10 notebooks with each notebook costing ₹ 40. Write the expression for the total amount she spends on buying the notebooks.
Solution:
_____________________________________
_____________________________________
Question 2.
Find the value of: 230 + 360.
Solution:
_____________________________________
_____________________________________
Question 3.
Remove the brackets and write the expression having the same value: 254 + (115 + 125)
Solution:
_____________________________________
_____________________________________
Question 4.
Remove the brackets and write the expression having the same value: 623 – (- 123 + 100)
Solution:
_____________________________________
_____________________________________
Question 5.
Add brackets at appropriate places in the expressions such that they lead to the values indicated: 410 – 120 + 200 = 490
Solution:
_____________________________________
_____________________________________
Question 6.
In the expression: 400 – 250, if 400 is changed to 420 and 250 is changed to 230, will the value of the expression remain the same?
Solution:
_____________________________________
_____________________________________
Short Answer Type Questions
Question 1.
Arrange the following expressions in ascending (increasing) order of their values.
13 + 4,6 × 5, 64 ÷ 2, 25 – 1.
Solution:
_____________________________________
_____________________________________
Question 2.
Arrange the following expressions in descending (decreasing) order of their values:
77 – 25, 57 – 30, 19 + 45, 4 × 12, 99 – 49
Solution:
_____________________________________
_____________________________________
Question 3.
Compare without complicated calculations. Explain your thinking in each case:
(a) 345 + 289 _________ 346 + 285
(b) 373 – 45 _________ 372 – 44
(c) 344 + 587 _________ 343 + 589
(d) 124 + 345 _________ 129 + 345
Solution:
_____________________________________
_____________________________________
Question 4.
Find the value of the expression: 200 – 2 × (40 + 35).
Solution:
_____________________________________
_____________________________________
Question 5.
Find the value of the expression: 4000 – 1000 + 1000 + 1000
Solution:
_____________________________________
_____________________________________
Question 6.
Write a story/situation for the expression: 50 × 12 – 120
Solution:
_____________________________________
_____________________________________
Question 7.
For the following situation, write the expression describing it:
A train ticket between two stations is ₹ 150 for an adult and ₹ 120 for a child. What is the total cost of tickets: for two adults and four children?
Solution:
_____________________________________
_____________________________________
Question 8.
Compare 25 × (20 + 4) and 26 × (19 + 2).
Solution:
_____________________________________
_____________________________________
Question 9.
Find different ways of evaluating the expressions: 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9 – 10
Solution:
_____________________________________
_____________________________________
Question 10.
Choose a number and create two different expressions having that value.
Solution:
_____________________________________
_____________________________________
Question 11.
Write an expression having three terms, which has the same value as: 300 – 200 + 100.
Solution:
_____________________________________
_____________________________________
Question 12.
A fruit seller has 25 orange boxes and 15 apple boxes. Each orange box yields 12 oranges, and each apple box yields 8 apples. Find the total number of fruits.
Solution:
_____________________________________
_____________________________________
Question 13.
Ajay bought 5 pencils, the cost of each pencil is ₹ 6, and Seema bought 4 erasers, which cost ₹ 4 each. How much money do they have to spend to buy these items?
Solution:
_____________________________________
_____________________________________
Question 14.
Evaluate:
(а) 10 – 11 + 12 – 13 + 14 – 15 + 16 – 17 + 18 – 19 + 20
(b) 2-2 + 2- 2 + 2- 2 + 2- 2 + 2- 2
Solution:
_____________________________________
_____________________________________
Question 15. A school is organizing a field trip for 50 students. Each student needs to pay ₹ 200 for the bus, and another ₹ 50 for snacks. How much money will the school collect in total?
Solution:
_____________________________________
_____________________________________
Question 16.
Identify which of the following expressions are equal to 90 + 37 – 12, without computation, (a) 90 + 36-11 (6) 91-(37 +12) (c) (89 + 36) – 14
Solution:
_____________________________________
_____________________________________
Question 17.
Compare the following pairs of expressions using “<’, V or ‘=’ or by reasoning:
(a) 500 – 170 + 80 _____ 400 -70 + 80
(5) 83 × 52 – 18 _____ 83 × 40 – 18
(c) 400 – 17 × 20 _____ 400 – 17 × 10
Solution:
_____________________________________
_____________________________________
Question 18.
Find different ways of evaluating the following expressions:
(a) 10 – 20 + 30 – 40 + 50 – 60 + 70 – 80 + 90 – 100
(b) 2-2 + 2- 2 + 2- 2 + 2- 2 + 2- 2
Solution:
_____________________________________
_____________________________________
Question 19.
Manju reads a three-page story every day except on Saturday and Sunday. Write an expression to show the number of stories she will read in 4 weeks.
Solution:
_____________________________________
_____________________________________
Question 20.
Read the situations given below. Write appropriate expressions for each of them and find their values:
(a) Rohan and Vikas supply milk to Hotel Sun Light. Rohan supplies 90 L of milk every day and Prasant supplies 60 L of milk every day. Find the quantity of milk supplied by them in a week.
(b) Piyu earns ₹ 22,000 per month. She spends ₹ 5,000 on rent, ₹ 5,000 on food, and ₹ 3,000 on other expenses every month. What is the amount Piyu will save by the end of a year?
(c) In every hour an insect climbs 3 feet up a post, and during the next hour it slips down by 1 foot. The post is 13 feet high. In how many hours will the insect reach the top?
Solution:
_____________________________________
_____________________________________
Case Based Questions
Queen Alia gave 100 gold coins to Princess Elsa and 100 gold coins to Princess Anna last year. Princess Elsa used the coins to start a business and doubled her coins. Princess Anna bought jewellery and has only half of the coins left.
Question 1.
Write an expression describing how many gold coins Princess Anna has.
Solution:
_____________________________________
_____________________________________
Question 2.
Write an expression describing how many gold coins Princess Elsa has.
Solution:
_____________________________________
_____________________________________
Question 3.
Write an expression describing how many gold coins Princess Elsa and Princess Anna together have.
Solution:
_____________________________________
_____________________________________
Crossword Puzzle
Complete the crossword puzzle using the given directions. One is done for you.
Directions:
Across:
1. Riya cycles 12 km/h for 2.5 hours. How far does she go? THIRTY.
3. A triangle with base 14 m and height 9 m. What’s the area? ___________ -Three.
5. A box with dimensions 10 cm × 6 cm × 4 cm. What’s the volume?
___________ Hundred fifty five.
7. If 3 : 4 is the ratio of boys to girls and there are 21 boys, how many girls? ___________ Eight.
Down:
2. A man had ₹ 850, spent ₹ 275 and ₹ 45. What’s left? Five ___________ Thirty.
4. A movie starts at 3:45 PM and ends at 6:20 PM. How long is it in minutes? One hundred ___________ – five,
6. 2000 at 5% interest for 3 years. What’s the simple interest? ___________ Hundred.
8. Solve: 3x + 5 = 20. What is x? ___________.
