Sample paper - class 7 (mid year - 2025)

                                MID-YEAR EXAMINATION – 2025 – 2026

                                                                  SAMPLE PAPER

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) The additive inverse of  –18 is:
a) 18  b) –18  c) 0  d) 36

ii) The product of 

${\displaystyle \frac{5}{12}}\times {\displaystyle \frac{6}{25}}$ is:
a) ${\displaystyle \frac{1}{10}}$  b) ${\displaystyle \frac{1}{12}}$  c) ${\displaystyle \frac{1}{5}}$  d) ${\displaystyle \frac{5}{50}}$

iii) The reciprocal of 0.25 is:
a) 25  b) 0.04  c) 4  d) 1

iv) Which of the following is a rational number?
 a)

$\sqrt{2}$  b) ${\displaystyle \frac{-7}{9}}$  c) π  d) $\sqrt{5}$

v) In the expression 3x²–5x+7  , the coefficient of x is:

a) 7  b) –5  c) 3  d) –7

vi) If one angle of a linear pair is 120°, then the other angle is:
a) 30°  b) 45°  c) 60°  d) 120°

vii) Two angles of a triangle are 50° and 60°. The third angle is:
a) 60°  b) 70°  c) 80°  d) 90°

---

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

a) –45 ÷ (–9) = _______

b) 7.8 × 1000 = _______

c) 3/4  ÷  9/16$=$ _______

d) The sum of rational numbers -2/5$=$ _______

e) The exterior angle of a triangle is equal to the sum of its _______ interior opposite angles.

f) A triangle with sides 6 cm, 8 cm, and 10 cm can/cannot be constructed. (Write “can” or “cannot”)

---

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

i) The product of two negative integers is always negative. ( )
ii) If two lines intersect each other, then exactly one point of intersection exists. ( )

---

Part B – Main                                                             (65 Marks)

Answer the following:                                                                         (10 × 3 = 30)

4. Simplify: (-15) x (-12) + (-15) x (-8) + (-15) x 10
   

5. Add: (3x+4y-7) + (5x-6y+9) - (2x-y-3)

6. A bus goes 75 km in one hour. How much distance will it cover in 4 3/8 hours ?

7. In the triangle △XYZ, ∠X = 70°, ∠Y = 40°. Find ∠Z of the triangle XYZ.

8. The angles of a triangle are in the ratio 3:4:5. Find the angles.

9. Arrange the following rational numbers in ascending order:
   −2/7,         5/14,      −3/14,    1/7

10. One side of an equilateral triangle is (4x + 3) cm. Find its perimeter when x = 5.

11. Find the value of  'x' in the below given diagram.

    
    
                                  

12. The length of a rectangle is 8.4 cm and its breadth is 6.2 cm. Find its area.

13. Find the value of: 2a²b - 3ab² + 4ab, when a = 2, b = 3.

---

Solve the following:                                                                             (5 × 4 = 20)

14. The product of two decimals is 0.1472. If one of them is 0.46, find the other.

15. In a diagram,y||z. find the value of 'p'. 

    
    
    
    
    
    

16. List five rational numbers between –2 and –1.

17.  In the following figure the sides BC, CA and BA of a △ABC have been produced to D, E and F respectively. If ∠ACD = 105॰ and ∠EAF = 45° ; find all the angles of the △ABC.

    
    
    

18. Construct a triangle XYZ in which XY = 4.5 cm, YZ = 5 cm, and XZ = 6 cm.

---

Solve the following:                                                                             (3 × 5 = 15)

19. (i) In the figure, find the values of 'p' and 'q'.

    
    
    (ii) Find the values of x, y, and z.
    
    
    

20. The sum of (7m² – 3m + 5) and (5m² + 4m – 2) is greater than their difference by how much?

21. Simplify with suitable property                                                                                                          a) (-8) x 20 x 125 x  (-5)                                                                                                                      b) 725 x 143 + (-44) x 725 + 725

---