✅ QUESTION PAPER – SET 5 (Corrected – Same Complexity)
TOPICS: Number play, Geometric twins, Operations with integers, Another peek beyond the point.
SECTION A – MCQs (1 × 6 = 6 marks)
- Which expression always gives an even number?
(a) 3n (b) 2n (c) 2n+1 (d) 5n−1 - If p || q and a transversal cuts them, alternate interior angles are:
(a) Equal (b) Supplementary (c) Complementary (d) Unequal - If two sides and included angle are equal, triangles are congruent by:
(a) ASA (b) SAS (c) RHS (d) AAA - Temperature at 11 AM is 8°C. It decreases 2°C per hour. When will it be −4°C?
(a) 4 PM (b) 5 PM (c) 6 PM (d) 7 PM - 96 km covered in 3 hours. Distance in 1 hour?
(a) 30 (b) 32 (c) 34 (d) 36 - Assertion–Reason
A: (−24 ÷ 6) = −4
R: Negative ÷ Positive = Negative
(Options same as original paper)
SECTION B – Short Answer (2 × 4 = 8 marks)
- Simplify:
(−6) + (−9) ÷ (−3) − 2 × (−4) - Using distributive property:
45 × (−28) + (−28) × (−12) - A car gives 15.5 km per litre. How far will it go in 8 litres?
SECTION C – Long Answer (4 × 3 = 12 marks)
- In ΔABC and ΔPQR:
AB = PQ, BC = QR, ∠B = ∠Q
Are the triangles congruent? Give reason.
SECTION D – Case Study (Corrected & Logical)
In a class test:
+3 marks for correct answer
−2 marks for wrong answer
0 for not attempted
(a)
Riya scored 18 marks. She got 10 correct answers.
How many questions did she attempt incorrectly?
(b)
Aman scored −4 marks. He got 4 correct answers.
How many questions did he answer incorrectly?
(c)
Neha attempted 15 questions. She answered 9 correctly.
Find her total score.
Answer Key
SECTION A – MCQs
- (b) 2n
- (a) Equal
- (b) SAS
- (b) 5 PM
8°C → −4°C = 12°C drop
12 ÷ 2 = 6 hours → 11 AM + 6 = 5 PM - (b) 32 km
96 ÷ 3 = 32 - (a) Both true and R is correct explanation
SECTION B – Short Answer
7. Simplify
(−6) + (−9) ÷ (−3) − 2 × (−4)
= −6 + 3 − (−8)
= −6 + 3 + 8
= 5
8. Distributive Property
45 × (−28) + (−28) × (−12)
= (−28)(45 − 12)
= (−28)(33)
= −924
9. Distance
15.5 × 8 = 124 km
SECTION C – Long Answer
12. Congruency
Given:
AB = PQ
BC = QR
∠B = ∠Q
Two sides and included angle equal
ΔABC ≅ ΔPQR (SAS)
