Chapter 2 · Class 7 CBSE · MCQ Test
Arithmetic Expressions MCQ Test — Class 7 CBSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Arithmetic Expressions — MCQ Questions
1Why is it important to follow the order of operations (BODMAS) when evaluating arithmetic expressions?
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Answer: To ensure a unique and correct answer.
Hint: Consider what would happen if different people calculated the same expression in different orders.
Solution:
The order of operations (BODMAS) provides a standard rule set for performing calculations.
Following this specific order ensures that everyone evaluates an expression in the same way, thus leading to one unique and correct result, preventing ambiguity.
2Evaluate the following expression: 15 + 6 × 2 - 10 ÷ 5
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Answer: 25
Hint: Remember to perform multiplication and division from left to right before addition and subtraction from left to right.
Solution:
First, perform multiplication and division from left to right: 6 × 2 = 12 and 10 ÷ 5 = 2.
The expression becomes: 15 + 12 - 2.
Next, perform addition and subtraction from left to right: 15 + 12 = 27.
Finally, 27 - 2 = 25.
3Ravi evaluated 20 - 5 × 3 as follows: Step 1: 20 - 5 = 15. Step 2: 15 × 3 = 45. What mistake did Ravi make?
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Answer: He subtracted before multiplying.
Hint: Recall the BODMAS rule for multiplication and subtraction.
Solution:
According to the BODMAS rule, multiplication (M) should be performed before subtraction (S).
Ravi incorrectly performed subtraction (20 - 5) first.
The correct first step should have been 5 × 3 = 15, then 20 - 15 = 5.
4Evaluate the expression: 8 × (12 - 4) ÷ 2
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Answer: 32
Hint: Always start with the operations inside the brackets first.
Solution:
First, solve the operation inside the brackets: 12 - 4 = 8.
The expression now becomes: 8 × 8 ÷ 2.
Next, perform multiplication and division from left to right: 8 × 8 = 64.
Finally, perform the remaining division: 64 ÷ 2 = 32.
5Which statement correctly describes the use of brackets in arithmetic expressions?
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Answer: Brackets group parts of an expression to be evaluated first.
Hint: Think about the primary purpose of brackets according to BODMAS.
Solution:
According to BODMAS, 'B' stands for Brackets.
Brackets are used to group parts of an expression, indicating that the operations within them must be performed before any operations outside, effectively overriding the standard order of operations.
6A shopkeeper buys 10 notebooks for ₹25 each and sells them for ₹30 each. He also spends ₹50 on transportation. Which expression correctly represents his total profit?
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Answer: (30 - 25) × 10 - 50
Hint: First, calculate the profit per notebook, then the total profit from selling all notebooks, and finally account for the transportation cost.
Solution:
The profit from one notebook is the selling price minus the cost price: (₹30 - ₹25).
For 10 notebooks, the total profit before expenses is (30 - 25) × 10.
Transportation cost (₹50) is an expense, so it reduces the overall profit. Therefore, the total profit is (30 - 25) × 10 - 50.
7Compare the values of Expression P = 12 + 8 ÷ 4 and Expression Q = (12 + 8) ÷ 4.
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Answer: P > Q
Hint: Evaluate each expression separately, paying close attention to the order of operations for each.
Solution:
Evaluate P: P = 12 + 8 ÷ 4. According to BODMAS, division comes before addition: 8 ÷ 4 = 2. So, P = 12 + 2 = 14.
Evaluate Q: Q = (12 + 8) ÷ 4. According to BODMAS, brackets come first: 12 + 8 = 20. So, Q = 20 ÷ 4 = 5.
Comparing the values, P = 14 and Q = 5. Therefore, P > Q.
8Which operation should replace the blank to make the equation true: 24 ÷ 3 + 5 ___ 2 = 11?
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Answer: -
Hint: Follow BODMAS for the given operations first, then determine the missing operation to reach the target value.
Solution:
First, perform division: 24 ÷ 3 = 8.
The expression becomes: 8 + 5 ___ 2 = 11.
Next, perform addition: 8 + 5 = 13.
The expression simplifies to: 13 ___ 2 = 11. To make this true, the blank must be subtraction: 13 - 2 = 11.
9When an expression contains different types of brackets like ( ), { }, and [ ], in what order should they generally be solved?
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Answer: ( ) first, then { }, then [ ].
Hint: Think about which brackets are usually considered the 'innermost' and which are the 'outermost' in nested expressions.
Solution:
The standard convention for solving expressions with nested brackets is to start with the innermost brackets and work outwards.
This means parentheses ( ) are solved first, followed by curly braces { }, and finally square brackets [ ].
10What number should replace 'x' in the expression 3 × (x + 5) - 10 = 20 to make the equation true?
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Answer: 5
Hint: Work backwards from the final result, reversing the operations one by one.
Solution:
Given the equation: 3 × (x + 5) - 10 = 20.
First, add 10 to both sides to reverse the subtraction: 3 × (x + 5) = 20 + 10 = 30.
Next, divide both sides by 3 to reverse the multiplication: (x + 5) = 30 ÷ 3 = 10.
Finally, subtract 5 from both sides to find x: x = 10 - 5 = 5.
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Tips for Arithmetic Expressions MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Arithmetic Expressions MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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