Mathematics Quiz: Test Your Knowledge

Mathematics is a vital subject that builds logical thinking, problem-solving skills, and analytical ability. This Mathematics Quiz is designed to test your understanding of key concepts, sharpen your calculation skills, and help you prepare confidently for exams. Whether you are a student or a lifelong learner, this quiz is going to challenge you and improve your mastery of mathematics.

MATHEMATICS QUIZ

1. If ( 3x – 5 = 2x + 7 ), find the value of ( x ).
A. 10
B. 12
C. 8
D. 6

2. Evaluate $(2^3 \times 2^5) \div 2^4$
A. 8
B. 16
C. 32
D. 64

3. Find the value of $\sqrt{196} + \sqrt{81}$
A. 20
B. 23
C. 25
D. 27

4. If the ratio of boys to girls in a class is 5:3 and there are 40 students, how many are girls?
A. 12
B. 15
C. 18
D. 20

5. The sum of interior angles of a polygon with 9 sides is
A. 1080°
B. 1260°
C. 1440°
D. 1620°

Mathematics Quiz

6. Simplify $\frac{3}{4} + \frac{5}{8}$
A. $\frac{7}{12}$
B. $\frac{11}{8}$
C. $\frac{13}{8}$
D. $\frac{15}{16}$

7. Find the 6th term of the arithmetic sequence: 4, 9, 14, …
A. 24
B. 29
C. 34
D. 39

8. If $y = 2x^2 – 3x$ and $x = 2$ find $y$.
A. 2
B. 4
C. 6
D. 8

9. The volume of a cube of side 5 cm is
A. 75 cm³
B. 100 cm³
C. 125 cm³
D. 150 cm³

10. If $\sin \theta = \frac{3}{5}$​, where $\theta$ is acute, find $\cos \theta$
A. $\frac{4}{5}$
B. $\frac{3}{4}$
C. $\frac{5}{4}$
D. $\frac{2}{5}$

Mathematics Quiz

11. Find the median of: 3, 7, 9, 12, 15, 18, 21.
A. 9
B. 12
C. 15
D. 18

12. Solve: ( 2(3x – 4) = 5x + 6 ).
A. 6
B. 14
C. 10
D. 12

13. The distance between points A(2, 3) and B(6, 9) is
A. $\sqrt{32}$
B. $\sqrt{40}$
C. $\sqrt{52}$
D. $\sqrt{72}$

14. Express 0.00045 in standard form.
A. $4.5 \times 10^{-3}$
B. $4.5 \times 10^{-4}$
C. $4.5 \times 10^{-5}$
D. $45 \times 10^{-5}$

15. If $\log 10 = 1$, find $\log 1000$.
A. 2
B. 3
C. 4
D. 5

Mathematics Quiz

16. Find the probability of getting a multiple of 3 when a number is chosen from 1 to 12.
A. $\frac{1}{2}$
B. $\frac{1}{3}$
C. $\frac{1}{4}$
D. $\frac{2}{3}$

17. The area of a triangle with base 10 cm and height 8 cm is
A. 40 cm²
B. 60 cm²
C. 80 cm²
D. 100 cm²

18. If $x^2 – 7x + 10 = 0$, find the values of $x$.
A. 2, 5
B. 1, 10
C. 3, 4
D. 2, 10

19. Find the determinant of the matrix $\begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix}$
A. –2
B. –1
C. 1
D. 2

20. If the mean of 5 numbers is 12, find their total sum.
A. 48
B. 50
C. 55
D. 60.

Mathematics Quiz

21. The gradient of the line joining (1, 2) and (5, 10) is
A. 1
B. 2
C. 3
D. 4

22. Simplify $\frac{2x}{3} \times \frac{9}{4x}$​.
A. $\frac{3}{2}$
B. $\frac{2}{3}$
C. $\frac{9}{8}$
D. $\frac{1}{2}$

23. If a number is increased by 20% and becomes 240, find the original number.
A. 180
B. 190
C. 200
D. 220

24. The angle between the hour and minute hand of a clock at 3:00 is
A. 45°
B. 60°
C. 90°
D. 120°

25. If the radius of a circle is 7 cm, find its circumference (π = $\frac{22}{7}$).
A. 22 cm
B. 44 cm
C. 66 cm
D. 88 cm

Mathematics Quiz ANSWERS AND EXPLANATIONS

1. B — Solving gives ( x = 12 ).
2. B — Laws of indices give $2^4 = 16$
3. ). B — $14 + 9 = 23$
4. B — Girls = $\frac{3}{8} \times 40 = 15$
5. B — $(n-2) \times 180 = 1260°$
6. B — LCM = 8, answer = 8/11
7. B — 6th term = 4 + 5(5) = 29.
8. A — Substitute ( y = 2 )
9. C — $5^3 = 125$
10. A — Using Pythagoras: $\cos \theta = \frac{4}{5}$
11. B — Middle value is 12.
12. B — Solving gives ( x = 14 ).
13. C — Distance formula gives $\sqrt{52}$.
14. B — Standard form is $4.5 \times 10^{-4}$
15. B — ( \log 1000 = 3 ).
16. B — Multiples: 3,6,9,12 → $\frac{4}{12}$
17. A — $\frac{1}{2} \times 10 \times 8 = 40$
18. A — Factorization gives 2 and 5.
19. A — ( (2×5)-(3×4) = -2 ).
20. D — Total = $12 \times 5 = 60$
21. B — Gradient = $\frac{8}{4} = 2$
22. A — Simplifies to $\frac{3}{2}$
23. C — Original = $\frac{240}{1.2} = 200$
24. C — Angle = 90°.
25. B — Circumference = $2\pi r = 44$

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