SPI Sample Maths Paper 2026

Practice real SPI level questions based on previous exam pattern.

1. If roots of quadratic equation are -2 and 11, find equation:

a) x² + 5x + 3 = 0 b) x² + 3x + 22 = 0 c) 2x² - 4x + 11 = 0 d) 2x² - 7x - 22 = 0

2. If 21x = 196 - x², find x:

a) 24, 5 b) -28, 7 c) -28, 4 d) -22, 7

3. If roots are in ratio 2:5 for x² + kx + 40 = 0, then k = ?

a) 8 b) 16 c) 14 d) 10

4. A ladder 10m reaches a wall of height 8m. Distance from wall = ?

a) 4 m b) 7 m c) 9 m d) 6 m

5. Slope of line through (-4, -5) and (-1, -2):

a) 1/2 b) 1/3 c) 1 d) 2

6. Equation of line with slope 4 and intercept 3:

a) y = 3x + 1 b) y = x + 2 c) y = 4x + 3 d) y = 5x - 1

7. If tan θ = 8/7, then value of expression = ?

a) 49/64 b) 35/64 c) 64/49 d) 64/35

8. If LCM = 6 and HCF = 2, then p²q² = ?

a) 144 b) 12 c) 24 d) 64

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