Are these practice questions for Arithmetic Expressions based on the CBSE pattern?

Yes. Every practice question is modeled on the CBSE Class 7 Mathematics exam pattern — including MCQs, assertion-reason questions, and short-answer formats that frequently appear in CBSE papers.

Are the practice questions for Arithmetic Expressions free?

Yes. Every chapter includes free practice questions for Class 7 students to get you started.

What types of questions are included?

The practice set for Arithmetic Expressions mainly includes MCQs and CBSE-style short-answer questions, with instant feedback on each answer. For full-length textbook practice, use the NCERT Solutions page.

Are the practice questions suitable for board exam preparation?

Yes. The questions test the same concepts and depth that CBSE asks in board exams. After finishing, also solve the NCERT and NCERT Exemplar exercises for Arithmetic Expressions for full coverage.

How many practice questions are there for Arithmetic Expressions?

The number scales with chapter length and concept density. Each chapter typically has 15-50 practice questions across MCQ and short-answer formats.

Arithmetic Expressions Class 7 Mathematics Practice Questions with Answers

easy

Calculate the value of the expression:

50 - 4 \times 8 + 15 \div 3

.

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easy

A shopkeeper has 5 boxes of pens, and each box contains 12 pens. If he sells 8 pens from his total stock, write an arithmetic expression to represent the number of pens remaining and calculate the final quantity.

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easy

Identify the terms in the expression

25 - 3 \times 7 + 10

.

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easy

Create a plausible word problem that could be solved using the arithmetic expression 150 - (4 \times 15 + 3 \times 20).

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easy

Define an arithmetic expression and provide one example.

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easy

Without performing the full calculation, justify why the expression 18 \times (100 - 2) must be equal to 18 \times 100 - 18 \times 2.

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easy

State the commutative property of addition.

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easy

Calculate the value of the expression

100 - (30 - 15)

by first removing the brackets according to the rules.

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easy

List four different arithmetic expressions that have a value of 24.

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easy

Apply the distributive property to fill in the blank and the box:

15 \times (20 - \_\_) = 15 \times 20 \ \Box \ 15 \times 8

. Then, calculate the value of the expression.

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easy

Formulate a single arithmetic expression to represent the total cost of 5 notebooks at ₹25 each, after receiving a discount of ₹10 on the total bill.

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medium

Explain what the equality sign '=' represents in the statement

18 - 3 = 15

.

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medium

A library has 25 racks of books. The first 10 racks contain 40 books each. The remaining racks contain 30 books each. During a book fair, 50 books were issued (loaned out) from the library. Write a single arithmetic expression to represent the total number of books remaining in the library, and then calculate this number.

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medium

Describe the steps to identify the terms in an expression containing subtraction, such as

42 - 11 + 5

.

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medium

Explain the distributive property of multiplication over addition. Then, write an expression for the following situation and show how the property applies: "For a school event, a teacher buys 8 packets of pens and 8 packets of pencils. A packet of pens costs ₹50 and a packet of pencils costs ₹30. What is the total amount spent?"

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medium

Recall the associative property of addition and explain how it applies to the expression

(-8 + 5) + 10

.

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medium

Apply brackets to the expression

24 - 10 + 4

to make its value equal to 10.

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medium

Justify that subtraction is not associative by evaluating whether (20 - 10) - 5 is equal to 20 - (10 - 5). Propose a conclusion based on your findings.

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medium

Examine the following expressions and determine the relationship between them using '<', '>', or '='. Justify your answer by applying the distributive property, without calculating the final values. Expression A:

25 \times (18 - 7)

Expression B:

25 \times 18 - 25 \times 9

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medium

Ravi buys 3 notebooks for ₹25 each and 2 pens for ₹10 each. He pays the shopkeeper with a ₹100 note. Write a single arithmetic expression to calculate the change Ravi should receive, and then solve it.

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medium

Explain how subtraction can be understood as the addition of an inverse. Then, rewrite the expression

85 - 20 - 10

purely as a sum of its terms. Finally, explain why the value of the expression does not change if you evaluate it as

85 - 10 - 20

.

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medium

Analyze the expression

12 - 3 \times 5 + 18 \div 2

and list its terms.

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medium

Summarize the rule for removing brackets when they are preceded by a negative sign. Provide an example.

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medium

Solve the expression

56 - (12 + 8 \times 2) + 10

. Show each step of your calculation.

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medium

Calculate the value of the expression:

36 + \frac{100}{5} - 2 \times (5+3)

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medium

Create an arithmetic expression using the numbers 4, 5, and 9 exactly once, along with any of the operations +, -, \times, \div and brackets, that evaluates to 1.

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medium

John was asked to solve the expression

100 - 20 \div 5 + 3

. His answer was 10. Analyze John's calculation to identify his mistake. Explain the error based on the 'order of operations'. Then, demonstrate the correct method and find the correct value.

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medium

Explain why a standard order of operations is necessary when evaluating expressions. Use the expression

10 + 4 \times 3

to illustrate your explanation.

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medium

Compare the expressions

150 + 25

and

148 + 27

using '<', '>', or '=' without performing the full addition. Explain your reasoning.

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medium

Explain the purpose of using brackets in an arithmetic expression. Use the expression

50 - (10 + 15)

as an example.

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medium

A student claims that the expression 100 - (30 - 15) is equal to 100 - 30 - 15. Critique this claim and explain the error in reasoning.

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medium

Describe what 'terms' are in an arithmetic expression. Then, for each expression below, rewrite it as a sum and list its terms. (a)

32 - 15 + 6 \times 2

(b)

150 - 9 \times 10 - 20

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medium

Critique the statement: "The value of an expression does not change if we swap any two numbers." Justify your critique with one example where it holds true and one where it does not.

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medium

To calculate 49 \times 20, which expression is more efficient to evaluate mentally: 49 \times 20 directly, or (50 - 1) \times 20? Justify your choice.

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medium

Design a real-world scenario for a school trip. Formulate a single, comprehensive arithmetic expression to calculate the total money to be collected from students. The scenario must include:

A total of 120 students.
A bus fee of ₹150 per student.
An entry ticket fee of ₹50 per student.
A school subsidy (discount) of ₹20 for each student.
An additional flat collection of ₹1000 for miscellaneous group expenses. Finally, evaluate the expression.

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medium

A student evaluated the expression 12 + 8 \div 2 \times 3 and got the answer 30. Critique the student's method, identify the error, and provide the correct evaluation with justification.

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hard

Analyze the following expressions and arrange them in ascending (increasing) order of their values. Justify your reasoning. (a)

50 - 15

(b)

5 \times 9

(c)

100 \div 2

(d)

50 - 12

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hard

A library has 5 shelves, and each shelf contains 120 books. On Monday, 30 books are issued. On Tuesday, twice the number of books issued on Monday are issued. Formulate a single expression for the number of books remaining and evaluate it.

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hard

Identify which of the following expressions are equal to

7 \times (12+5)

without calculating the final value. Explain your reasoning. (a)

7 \times 12 + 5

(b)

7 \times 12 + 7 \times 5

(c)

(12+5) \times 7

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hard

Justify the property a - (b - c) = a - b + c. First, demonstrate it with the numerical example a=50, b=20, c=5. Second, formulate a real-world story involving money to explain why this property is logical.

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hard

Using the numbers 2, 3, 5, and 10 exactly once, along with any of the four basic operations (+, -, \times, \div) and brackets, create three distinct expressions that result in: a) The largest possible value. b) The smallest possible positive integer value. c) A value of 0. Justify your choice for the largest value.

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hard

Propose a rule to determine if the value of the expression A \times (B - C) will be positive, negative, or zero, where A, B, and C are integers. Justify your rule.

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hard

Demonstrate two different real-life situations that can be represented by two different arithmetic expressions, but both expressions must have a final value of 40. For each situation, write the story, the corresponding expression, and show the calculation.

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hard

Design two different arithmetic expressions that both evaluate to 20. Each expression must use the numbers 3, 4, and 8 exactly once and at least two different operations from +, -, \times, \div.

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hard

Summarize the reasoning used to compare expressions without full calculation. Use this reasoning to compare the following pairs with '>', '<', or '=' and explain your choice. (a)

250 + 105

vs

252 + 103

(b)

400 - 80

vs

401 - 79

(c)

18 \times (20 - 2)

vs

18 \times 20 - 18 \times 2

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Arithmetic ExpressionsClass 7 Mathematics Practice Questions