📘 CLASS 7- MATH QUESTION PAPER – SET 1
ANNUAL EXAMINATION (2025–2026)
SUBJECT: MATHEMATICS
Contains Questions from below chapter
Ch.2 Arithmetic Expressions
Ch.4 Expressions using Letter-Numbers
Ch.6 Number Play
Ch.7 A Tale of Three Intersecting lines
Part 2:
Ch.1 Geometric Twins
Ch.2 Operations with Integers
Ch.4 Another Peek Beyond the Point
SECTION – A
I. Choose the correct option:
- Two sides of a triangle are 7 cm and 9 cm. Which cannot be the third side?
(a) 5 cm (b) 3 cm (c) 10 cm (d) 14 cm - If p and q are twin primes and p + q = 12, find pq.
(a) 35 (b) 24 (c) 30 (d) 20 - What should be added to (3x² – 5x + 4) to get (6x² – 2x + 1)?
(a) 3x² + 3x – 3
(b) 3x² – 3x – 3
(c) 3x² + 3x + 3
(d) 2x² + 3x – 3 - Sita’s age is 5 years more than three times her sister’s age (y). Express Sita’s age.
(a) 3y – 5 (b) 3y + 5 (c) y + 15 (d) 5y + 3 - If a and b are consecutive even numbers, then a + b is always:
(a) Odd (b) Prime (c) Even (d) Composite - Assertion (A): The sum of angles of a triangle is 180°.
Reason (R): A right angle measures 90°.
(a) Both true, R correct explanation
(b) Both true, R not explanation
(c) A true, R false
(d) A false, R true
SECTION – B
- Simplify:
(i) 30 + 5 × 6 – 10 ÷ 2
(ii) 4x – (2x – 3y) + 5y - Three students contribute:
A: 2(2a + 3b) – (a – b)
B: 3(a – 2b) + 4b
C: 5a – 2(2a – b)
a) Find total contribution.
b) If target is (10a + 5b), check sufficiency. - Perimeter of triangle (x + 4), (2x – 3), (3x + 1) equals perimeter of rectangle length (2x + 2) width (x + 3). Find x.
- In an isosceles triangle, base angles are equal and vertex angle is 100°. Find all angles.
- Construct triangle PQR using ASA:
PQ = 5 cm, ∠ QPR = 40°, ∠ PQR = 80°.
Write steps.
SECTION – C
- Case Study
Strips: 5 cm, 6 cm, 12 cm
(a) Can triangle be formed? Why?
(b) State triangle inequality property.
(c) Check for 8 cm, 9 cm, 10 cm.
MATH ANSWER KEY – SET 1
📘 ANSWER KEY – SET 1
Subject: Mathematics
SECTION – A
1. Two sides 7 cm and 9 cm
Possible third side must be greater than 2 and less than 16
3 cm is possible, 5 cm possible, 10 cm possible, 14 cm possible
✅ Correct Answer: (b) 3 cm
2. Twin primes sum = 12
Twin primes: 5 and 7
Product = 5 × 7 = 35
✅ Correct Answer: (a) 35
3.
Required expression =
(6x² – 2x + 1) – (3x² – 5x + 4)
= 3x² + 3x – 3
✅ Correct Answer: (a) 3x² + 3x – 3
4.
Sita’s age = 3y + 5
✅ Correct Answer: (b) 3y + 5
5.
Let consecutive even numbers be 2n and 2n+2
Sum = 4n + 2 (Even)
✅ Correct Answer: (c) Even
6.
Both statements are true, but reason does not explain assertion.
✅ Correct Answer: (b)
SECTION – B
7. Simplify
(i)
30 + 5 × 6 – 10 ÷ 2
= 30 + 30 – 5
= 55
(ii)
4x – (2x – 3y) + 5y
= 4x – 2x + 3y + 5y
= 2x + 8y
✅ Answers:
(i) 55
(ii) 2x + 8y
8. Contributions
A = 2(2a + 3b) – (a – b)
= 4a + 6b – a + b
= 3a + 7b
B = 3(a – 2b) + 4b
= 3a – 6b + 4b
= 3a – 2b
C = 5a – 2(2a – b)
= 5a – 4a + 2b
= a + 2b
Total Contribution:
(3a + 7b) + (3a – 2b) + (a + 2b)
= 7a + 7b
Target = 10a + 5b
Difference = (10a + 5b) – (7a + 7b)
= 3a – 2b
❌ Not sufficient
They need 3a – 2b more
9. Perimeter Equality
Triangle perimeter:
(x + 4) + (2x – 3) + (3x + 1)
= 6x + 2
Rectangle perimeter:
2(2x + 2 + x + 3)
= 2(3x + 5)
= 6x + 10
Equating:
6x + 2 = 6x + 10
This gives:
2 = 10 ❌
❗ No solution (Question data inconsistent)
10.
Isosceles triangle
Vertex angle = 100°
Remaining angles = 180 – 100 = 80°
Each base angle = 80 ÷ 2 = 40°
✅ Angles: 40°, 40°, 100°
11. Construction Steps (ASA)
- Draw line segment PQ = 5 cm
- At P construct angle 40°
- At Q construct angle 80°
- Extend rays to meet at R
- Join PR and QR
Triangle PQR constructed.
SECTION – C
12. Case Study
(a) 5 + 6 = 11 < 12
Triangle cannot be formed because sum of two sides is not greater than third side.
(b) Triangle Inequality Property:
Sum of any two sides of a triangle must be greater than the third side.
(c) For 8 cm, 9 cm, 10 cm
8 + 9 = 17 > 10
9 + 10 = 19 > 8
8 + 10 = 18 > 9
✅ Triangle can be formed.
