Grade 9 Mathematics – Diagnostic Assessment
(25 MCQ Questions )
Name: _______________________
Date: _______________________
Section A: Number & Indices
4. Calculate: 4² + 3 × 5
1. 2³ × 2² = ?
a) 35
a) 2⁵ = 16
b) 30
b) 2⁵ = 32
c) 31
c) 2⁶ = 64
d) 95
d) 4⁵ = 1024
𝟒
5. Write the reciprocal of 𝟕 :
2. 5² ÷ 5 = ?
a)
4
b)
7
c)
−7
d) 25
d)
1
3. Write 81 as a power of 3:
6. Convert 0.375 to a fraction:
a) 1
b) 5
c) 10
a) 3³
4
7
1
b)
1
c)
3
d)
3
c) 3⁵
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4
a)
b) 3⁴
d) 9²
7
4
3
8
5
7. Round 3.746 to 2 decimal places:
11. Factorise: 6x + 12
a) 3.74
a) 3(2x + 4)
b) 3.75
b) 6(x + 2)
c) 3.76
c) 2(3x + 6)
d) 4.00
d) x(6 + 12)
Section B: Algebra
8. Simplify: 4x − 3x + 2x
12. Solve: x + 9 = 21
a) 9x
a) x = 9
b) x
b) x = 11
c) 3x
c) x = 12
d) 5x
d) x = 30
9. Simplify: 3(a + 4)
13. Solve: 4y = 28
a) 3a + 4
a) y = 4
b) 3a + 12
b) y = 6
c) a + 12
c) y = 7
d) 3a + 7
d) y = 24
10. Expand: x(x + 5)
14. Solve: 2x + 3 = 11
a) x² + 5
a) x = 3
b) x² + 5x
b) x = 4
c) 2x + 5
c) x = 5
d) x² + x + 5
d) x = 7
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15. Find x: 5x − 10 = 15
a) x = 1
b) x = 3
c) x = 5
d) x = 25
19. State one property of a right-angled
triangle:
a) All angles are equal
b) One angle is 90°
c) All sides are equal
d) It has four sides
16. Substitute x = 2 in 3x²:
a) 6
b) 8
c) 12
d) 36
17. Write an algebraic expression for: three
more than twice a number
a) 3x + 2
b) 2x + 3
c) 3 + 2 + x
d) 2(x + 3)
20. Name the longest side in a right-angled
triangle:
a) Adjacent
b) Opposite
c) Hypotenuse
d) Base
21. Calculate the mean of: 2, 5, 7, 6
a) 4
b) 5
c) 6
d) 20
Section C: Geometry, Trigonometry & Data
18. Find the sum of angles in a triangle:
a) 90°
b) 180°
c) 270°
d) 360°
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22. Find the median of: 3, 9, 1, 5, 7
a) 3
b) 5
c) 7
d) 25
23. A triangle has base 8 cm and height 5 cm.
Find its area:
a) 13 cm²
b) 20 cm²
c) 40 cm²
d) 80 cm²
24. State whether this event is likely or
unlikely: raining in a desert
a) Likely
b) Unlikely
c) Certain
d) Impossible
25. Write one example where probability is
used in real life:
a) Weather forecasting
b) Measuring length
c) Counting money
d) Telling time
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