Sample paper - mid year (class 7)

 

              MID YEAR EXAMINATION – 2025 – 2026

STD: VII                    Subject: MATHEMATICS

Time: 2 hours 15 min  Marks: Obj: 15 Main: 65 Total: 80

Part A – Objective (15 Marks)

1. Choose the correct answer             (7 × 1 = 7)

i) (–7) × (–9) ÷ (–3) =

a) –21  b) 21  c) –63  d) 63

ii) 4.6 + 7.85 =

a) 11.55  b) 12.45  c) 13.35  d) 12.35

iii) The reciprocal of −3/8 is:

a) –8/3  b) 8/3  c) 3/8 d) –3/8

iv) Which of the following is not a rational number?

a) –5  b) 0  c) 7/11  d) √11

v) In 7xy–9x²+4y, the coefficient of xy is:

a) 7  b) –9  c) 4  d) –7

vi) If two angles are supplementary and one is 125°, the other is:

a) 35°  b) 45°  c) 55°  d) 65°

vii) A triangle has two equal angles of 70° each. The third angle is:

a) 30°  b) 40°  c) 50°  d) 60°

2. Fill in the blanks                            (6 × 1 = 6)

a) (–12) × (–5) = _______

b) 9.75 × 100 = _______

c) 11/12 – 7/18 = _______

d) The multiplicative inverse of −4/9 is _______

e) The sum of angles of a triangle is _______

f) A triangle with sides 2 cm, 4 cm, and 8 cm can/cannot be constructed. (Write “can” or “cannot”)

3. Write True or False                         (2 × 1 = 2)

i) The product of three negative integers is negative. ( )

ii) If two parallel lines are cut by a transversal, alternate interior angles are equal. ( )

Part B – Main                                        (65 Marks)

Answer the following:                     (10 × 3 = 30)

4. Simplify:

(–25)×(–7)–(–25)×(4)+(–25)×(–5)

5. Add: (6a–4b+9)+(–3a+5b–7)+(2a–6b+4)

6. A train runs at a speed of 54 km/hr. How far will it travel in 25 minutes?

7. In this figure, OA and OB are opposite rays.

      (i) if x = 25゜, find the value of y?

       (ii) if y = 35°, find the value of x?

8. In a given triangle ΔABC, find the value of x?

9. Arrange in descending order:

−5/12, 1/6, −1/4, 2/9

10. If length of a rectangle is (5x – 3) cm and breadth is (2x + 1) cm, find its perimeter when x = 4.

11. Construct a ΔPQR in which PQ = 6 cm, QR = 5 cm, and PR = 7 cm.

12. The side of a square is 8.5 cm. Find its area.

13. Evaluate: 3p²–2pq+5q², when p = 2, q = –1.

Solve the following:                            (5 × 4 = 20)

14. Divide: 0.0025 ÷ 0.05

15. Find the value of x and y, if RP=RQ.

16. Write any five rational numbers greater than –3 but less than –2.

17. Find the value of x, y, and z.

18. Construct a ΔLMN in which LM = 4 cm, MN = 5.5 cm, and LN = 7 cm.

Solve the following:                         (3 × 5 = 15)

19.  If AB and PQ are parallel, compute the measure of angle X.

20. Subtract 3x2 – 5y – 2 from 5y – 3x2 + xy and find the value of the result if x = 2, y = -1.

21. If AB || CD, find the value of x and y.

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