Extra Questions for Class 7 Maths Chapter 2: Arithmetic Expressions – HOTS

Fresh HOTS-level extra questions for Class 7 Maths Chapter 2 (Arithmetic Expressions), with numbers not found in the NCERT book. Full worked solutions included. These Class 7 Mathematics Chapter 2 important questions are handy for last-minute exam practice.

Last Updated: September 23, 2026

Q1. Evaluate: 65−8×3+20÷4
Solution: 65−24+5 = 41+5 = 46.

Q2 (Bracket insertion). Insert brackets to make 100−40−20 equal to 80.
Solution: 100−(40−20) = 100−20 = 80. ✓

Q3 (Assertion–Reason). Assertion (A): 25×(16−6) equals 25×16−25×6. Reason (R): Multiplication distributes over subtraction.
Solution: R is true. Checking A: 25×(16−6)=25×10=250; 25×16−25×6=400−150=250 — equal, so A is true. Both true, R explains A.

Q4 (Word problem). A shopkeeper buys 8 boxes of pens at ₹150 each and sells them for a total profit of ₹320. What was the total selling price?
Solution: Cost = 8×150 = ₹1,200. Selling price = cost + profit = 1200+320 = ₹1,520.

Q5 (Compare without full evaluation). Compare 48×(25−9) and 48×25−48×10 using reasoning.
Solution: 48×(25−9) = 48×16. 48×25−48×10 = 48×(25−10) = 48×15. Since 16>15, 48×(25−9) is greater.

Q6 (Spot the error). A student simplifies 60−(15−5) as 60−15−5=40. Is this correct?
Solution: Incorrect. When removing a bracket preceded by a minus sign, both signs inside must flip: 60−(15−5) = 60−15+5 = 50, not 40. The student forgot to flip the sign of the second term inside the bracket.

Q7 (Distributive law shortcut). Use a shortcut to compute 199×25.
Solution: 199×25 = (200−1)×25 = 5000−25 = 4,975.

Q8 (Terms identification). Identify the terms in the expression 6×12 − 3×4 + 9.
Solution: The terms are 6×12, 3×4 (with a minus sign), and 9 — three terms in total, separated by + and − signs. Value = 72−12+9 = 69.

Q9 (Snail-style problem, HOTS). A frog jumps 5 cm forward every hop but slides back 3 cm before its next hop. A lily pad is 25 cm away. How many hops does it take to reach the lily pad?
Solution: Net progress per hop-slide cycle = 5−3 = 2 cm. After 10 full cycles: 20 cm. On the 11th hop, the frog jumps 5 more cm, reaching 20+5=25 cm — exactly the lily pad — before any further slide. So it takes 11 hops.

Q10 (Multi-step). Evaluate 3×(14−9) + 2×(20−15) − (8−3)
Solution: 3×5 + 2×5 − 5 = 15+10−5 = 20.

More on This Chapter

See also: NCERT Solutions for Class 7 Maths Chapter 2, Class 7 Maths Part 1 NCERT Book and the Class 7 Maths Formulas Handbook.

Revision Notes: Revision Notes for Class 7 Maths Chapter 2

Frequently Asked Questions

Why does solving 8 minus 2 into 3 give a different answer depending on whether multiplication or subtraction is done first?
Following the correct order of operations, multiplication is carried out before subtraction, giving 8 minus 6 equals 2, whereas solving left to right without the rule would incorrectly give 6 into 3 equals 18.

How do brackets change the outcome of an arithmetic expression compared to the same numbers without brackets?
Brackets force the operation inside them to be carried out first regardless of the usual order of operations, so placing brackets around different parts of the same expression can produce entirely different results.

Written by Satish

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