Class 7 Maths Chapter 2: Arithmetic Expressions Important Questions by PW

Arithmetic expressions combine numbers, operations, brackets, and variables, so solving them requires attention to the order of operations. Questions can become confusing when several operations appear in the same expression or when a statement has to be converted into a mathematical expression. Identifying terms, substituting values, and simplifying expressions also require careful calculation to avoid errors.

The Class 7 Maths Chapter 2 Important Questions offer focused practice on Arithmetic Expressions through different question formats. You can practise simplifying expressions, working with brackets and variables, identifying terms, and forming expressions from everyday situations to strengthen your understanding and calculation skills.

Class 7 Maths Chapter 2 Important Questions

Try solving the questions independently before checking the answers.

Important Questions with Answers

MCQ

Q1.

(a) The expression 45 − [9 − (3 + 1)] + 2 × 3 simplifies to ______.

Answer: 48

(b) If x = 5, the value of 2x² − 3(x + 4) is ______.

Answer: 7

(c) Simplify:

48 − [12 ÷ (2 × 3)] + 5²

Answer: 71

(d) If a = 7, the value of 3a + 4(2a − 5) is ______.

Answer: 61

(e) In arithmetic expressions, we perform multiplication and division before addition and ______.

Answer: Subtraction

Q2. Match the expressions in Column A with their simplified values in Column B.

Answer:

• 5² − 4 × 3 = 13 → D

• 12 ÷ (3 + 3) + 7 = 9 → B

• 8 × 3 − 2 × 9 = 6 → E

• 30 − [12 ÷ (2 × 2)] = 27 → A

• 6² − [4² − 2²] = 24 → C

Q3. If x = 5, find the value of 2x² + 3x − 4.

(A) 61
(B) 50
(C) 45
(D) 64

Answer: (A) 61

Q4. A number is increased by 5, then multiplied by 3, and the result is 48. What is the number?

(A) 9
(B) 11
(C) 13
(D) 12

Answer: (A) 11

Q5. If the number of line segments is given by the expression 3n − 18, find the number of line segments for n = 9.

(A) 9
(B) 18
(C) 27
(D) 36

Answer: (A) 9

Q6. A man earns ₹x per day. He worked for 6 days and spent ₹(x − 50) each day. Which expression shows how much he saved in 6 days?

(A) 6x + 50
(B) 6(x − 50)
(C) x − 6(x − 50)
(D) 6x − 6(x − 50)

Answer: (D) 6x − 6(x − 50)

Q7. A caterpillar climbs 5 cm during the day and slips 3 cm at night. If the tree is 17 cm high, on which day will it reach the top?

(A) 7
(B) 8
(C) 9
(D) 10

Answer: (B) 8

Short Answer Type Questions

Q8. Which expression matches the arrangement of 4 groups of 3 red squares plus 2 extra blue squares?

Answer:

4 × 3 + 2

Q9. Identify the terms in the expression:

45 − 3x × 8 + 12

Answer:

The terms are:

45, 3x × 8, and 12

Q10. Evaluate the expression:

30 ÷ [6 ÷ (6 + 1)]

Answer:

First,

6 + 1 = 7

Then,

6 ÷ 7 = 6/7

Therefore,

30 ÷ (6/7) = 35

So, the answer is 35.

Q11. Swap and simplify:

37 × 9 + 37 × 1

Answer:

Using the distributive property:

37 × 9 + 37 × 1 = 37 × (9 + 1)

= 37 × 10

= 370

Q12. Ananya reads a three-page story every day except on Wednesdays and Sundays. How many pages would she complete reading in 6 weeks? Which expression describes this situation?

Answer:

There are 7 days in a week, and she reads on 5 days each week.

In 6 weeks, she reads:

6 × 5 = 30 days

At 3 pages per day:

30 × 3 = 90 pages

The expression is:

6 × (7 − 2) × 3

So, Ananya reads 90 pages.

Q13. Which is the correct expression for:

“Add 4 to the product of 2 and 5”?

Answer:

The product of 2 and 5 is:

2 × 5

Adding 4 gives:

2 × 5 + 4

So, the required expression is 2 × 5 + 4.

Q14. Mahesh brought 30 marbles to the playground. Arun brought 5 bags of marbles with 4 marbles in each bag. How many marbles did Mahesh and Arun bring to the playground?

Answer:

Arun brought:

5 × 4 = 20 marbles

Total marbles:

30 + 20 = 50 marbles

Therefore, Mahesh and Arun brought 50 marbles altogether.

Class 7 Maths Chapter 2 Important Questions PDF

For extra revision of Arithmetic Expressions, the Class 7 Maths Chapter 2 Important Questions PDF includes problems based on simplification, arithmetic operations, variables, brackets, and everyday situations. Work through the questions on your own and compare your responses afterwards to identify calculation errors and topics that may require further revision.

How Can Physics Wallah Class 7 Maths Chapter 2 Important Questions Help You?

Physics Wallah provides focused questions that let you practise Arithmetic Expressions and apply its concepts to different types of problems.

• Simplify Expressions: Practise expressions involving brackets and multiple arithmetic operations.

• Follow Operation Rules: Apply the correct sequence while solving expressions.

• Work with Variables: Substitute values and evaluate expressions accurately.

• Recognise Terms: Identify individual terms and operations in expressions.

• Apply the Distributive Property: Use multiplication and addition to simplify expressions efficiently.

• Form Mathematical Expressions: Convert statements and everyday situations into suitable expressions.

• Solve Practical Problems: Apply arithmetic expressions to situations involving money, reading, measurements, and other examples.

• Improve Accuracy: Practise varied questions to identify calculation errors and strengthen concept clarity.

Arithmetic Expressions introduces ways to combine numbers, operations, brackets, and variables to represent mathematical situations. These Class 7 Maths Chapter 2 Important Questions give you practice with simplification, operation rules, variable-based expressions, and application questions, helping you strengthen your understanding before school assessments.

Related Resources

• CBSE Class 7 Maths Syllabus 

• CBSE Class 7 Maths NCERT Solutions

• CBSE Class 7 Maths Sample Papers

• CBSE Class 7 Maths Notes