Exam Questions Second Term SS 2 Mathematic

CLASS: S.S.S. 2

SUBJECT: Mathematics

INSTRUCTION: Answer all the questions.

1. Evaluate (101.5)² – (100.5)²

a) 2
b) 2.02
c) 20.02
d) 202
e) 2020

2. Express the product of 0.06 and 0.09 in standard form.

a) 5.4 × 10⁻³
b) 5.4 × 10⁻²
c) 5.4 × 10⁻¹
d) 5.4 × 10²
e) 5.4 × 10³

3. Simplify 36½ × 64⁻¹/³ × 5⁰

a) 0
b) 1/24
c) 2/3
d) 1½
e) 7½

4. Find the 8th term of the arithmetic progression (A.P): -3, -1, 1, …

a) 13
b) 11
c) -8
d) -11
e) -17

5. Use the given information to answer questions 5 and 6.

a) Calculate /PQ/ in meters
a) 20
b) 24
c) 25
d) 31
e) 84

b) What is the bearing of Q from P (nearest whole degree)?
a) 16°
b) 17°
c) 73°
d) 106°
e) 164°

7. Simplify (27¹/³)²

a) 4½
b) 6
c) 9
d) 18
e) 81

8. A salesgirl mistakenly gave a change of ₦1.15 instead of ₦1.25. Calculate her percentage error.

a) 10%
b) 8.7%
c) 8.0%
d) 2.4%
e) 0.10%

9. What is the probability of rolling an odd number on a fair die?

a) 1/6
b) 1/3
c) 1/2
d) 2/3
e) 5/6

10. Evaluate log₆ 10 + log₄ 5 – log₂ 7 without using logarithm tables.

a) 0
b) 1
c) 1.1738
d) 1.3802
e) 10

11. What value of k makes the expression a perfect square?

m² – 8m + k
a) 2
b) 4
c) 8
d) 16
e) 64

12. If log₁₀ q = 2.7078, what is q?

a) 5102
b) 849.9
c) 510.2
d) 84.99
e) 51.02

13. Solve for “a” in the equation: 3 log a + 5 log a – 6 log a = log 64.

a) 4
b) 6
c) 8
d) 16
e) 32

14. If the second and fourth terms of a geometric progression (G.P) are 8 and 32, what is the sum of the first four terms?

a) 28
b) 40
c) 48
d) 60
e) 68

15. Evaluate 0.009 ÷ 0.012, leaving your answer in standard form.

a) 7.5 × 10²
b) 7.5 × 10¹
c) 7.5 × 10⁻¹
d) 7.5 × 10⁻²
e) 7.5 × 10⁻³

16. Factorize: 2x² + x – 15

a) (2x + 5)(x – 3)
b) (2x – 5)(x – 3)
c) (2x – 5)(x – 3)
d) (2x – 3)(x + 5)
e) (2x + 5)(x + 3)

17. If log₁₀ a = 4, what is a?

a) 0.4
b) 40
c) 400
d) 1000
e) 10,000

18. A measurement was recorded as 1.23 cm. Find the percentage error (correct to one decimal place).

a) 6.8%
b) 7.3%
c) 9.6%
d) 14.4%
e) 15.4%

19. Factorize: 5y² + 2ay – 3a²

a) (5y – a)(y + 3a)
b) (5y + a)(y – 3a)
c) 5y² + a(2y – 3a)
d) (y – a)(5y – 3a)
e) (y + a)(5y – 3a)

20. Find (101₂)² expressed in base 2.

a) 10101
b) 11001
c) 10010
d) 11101
e) 10110

21. Three children share ₦10.50 in the ratio 6:7:8. How much is the largest share?

a) ₦3.00
b) ₦3.50
c) ₦4.00
d) ₦4.50
e) ₦5.00

22. Express 0.000834 in standard form.

a) 8.34 × 10⁻⁴
b) 8.34 × 10⁻³
c) 8.34 × 10³
d) 8.34 × 10⁴
e) 8.34 × 10⁶

23. Simplify: 0.027⁻¹/³

a) 3¹/³
b) 3
c) 3/10
d) 1/3
e) 1/9

24. Given that logₐ 2 = log₄ 8, find “a”.

a) 2¹/²
b) 4¹/³
c) 4²/³
d) 2²/³
e) 2³

25. A dealer sold soft drinks for ₦600 and made a 50% profit. How much did the dealer originally pay?

a) ₦1,200
b) ₦900
c) ₦450
d) ₦400
e) ₦200