MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 2

MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 2

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SUBJECT: MATHEMATICS

CLASS: S.S.S.2

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1. Logarithm of numbers less than one are logarithms with____ notation (a) Indices (b) exponent (c) bar (d) power

2. Evaluate 3 root 0.3612 (a) 0.7122 (b) 0.07122 (c) 7.122 (d) 71.220

3. Simplify 3.2 + 5.4 (a) 8.6 (b) 6.8 (c) 2.2 (d) 8.6

4. If log_aN = x, then N is equal to (a) x^a (b) x^N (c) a^x (d) ax

5. Simplify log₅0.04 (a) +2 (b) – 2 (c) +3 (d) – 3

6. Given that log₁₀2 = 0.3010 and log₁₀3 = 0.4771. Evaluate log₁₀9 (a) 0.9872 (b) 0.9542 (c) 0.6954 (d) 0.8921

7. Evaluate Log7 + 2 log 2 – log 280 (a) – 1 (b) +1 (c) + ½ (d) – ½

8. Find the value of k given that: log k – log (k – 2) = log 5 (a) 2/3 (b) 0.4 (c) 2.5 (d) 3.5

9. Evaluate log₃27 (a) 2 (b) 6 (c) 3 (d) 4

10. The 43rd term of an A.P. is 26. Find the first term of the progression given that its common difference is ½ (a) 7 (b) 6 (c) 4 (d) 5

11. The first, second and last terms of a G.P. are 162, – 108, and – 21 1/3 respectively. Calculate the number of terms in the G.P. (a) 4 (b) 5 (c) 7 (d) 6

12. Find the sum of the first 20 terms of the arithmetic progression 16 + 9 + 2 + (- 5) + ….. (a) – 1010 (b) 1001 (c) 0101 (d) 10110

13. The salary scale for an official starts at N1.7million. A rise of N84000 is given at the end of each year. Find the total amount of money that of the officer will earn in 14 years. (a) N31,000,000 (b) N31,440,000 (c) N31,444,000 (d) N31,044,000

14. The sum to infinity of a G.P. is 60. If the first term of the series is 12, find its second term. (a) 6.9 (b) 9.6 (c) 8.6 (d) 6.8

15. Solve the equation (x + 3)² = 7 (a) x = +3 +-root7 (b) – 3+-root7 (c) +3+-7 (d) – 3+-7

16. What must be added to x² + 6x to make the expression a perfect square (a) 9 (b) 8 (c) 7 (d) 6

17. Solve x² 7x + 10 = 0 using almighty or quadratic formula (a) x = – 5 or – 2 (b) x = – 5 or +2 (c) x = 5 or – 2 (d) x = 5 or 2

18. An equation in the form of ax² + bx + c = 0 is said to be (a) Simultaneous equation (b) Quadratic equation (c) Polynomial equation (d) Algebraic equation

19. Find the sum and the product of the roots of the equation 5x² – 4x – 9 = 0 (a) 4/2 and 5/7 (b) 4/5 and -9/5 (c) -5/4 and -9/5 (d) 5/4 and 4/5

20. Find the two numbers whose difference is 5 and whose product is 266. (a) – 19 or 14 (b) – 19 or – 14 (c) – 18 or – 14 (d) – 14 or 18

21. Find x and y if 3^2x-y = 1 and 16^x/4 = 8^3x-y (a) x = 4 and y = 2 (b) x = – 4 and y = – 2 (c) x = 2 and y = 4 (d) x = – 2 and y = – 4

22. Solve the equation ½x + 1/3y = 4 and 1/4y – 1/3x = 1/6 (a) x = 6 and y = 4 (b) x = 4 and y = 6 (c) x = – 4 and y = – 6 (d) x = – 6 and y = – 4

23. Simplify log₁₀15 (a) 1.7161 (b) 1.1761 (c) 1.1671 (d) 1.1677

24. Find the value of x given that log₁₀x + log₁₀(x + 3) = 1 (a) x = – 2 or – 5 (b) x = – 2 or +5 (c) x = – 5 or 2 (d) x = – 4 or – 5

25. The nth or last term of a geometric progression is given as (a) Tn = a + (n – 1)d (b) Tn = [2a+(n – 1)d] (c) Tn = ar ^{n – 1} (d) Tn = a(1 – rⁿ) / (1 – r)

26. _____ is the addition of a set of sequence (a) series (b) sequence (c) common ratio (d) common difference

27. If the common ratio is a factor such that – 1< r < + 1, the value of rⁿ approaches _____ as n increases towards infinity (a) one (b) minus one (c) zero (d) ∞

28. Solve the equation (x – 2)² = 1/4 (a) 2.0 or 1.0 (b) 2.5 or 1.5 (c) 2.3 or 1.5 (d) 2.5 or 1.0

29. What must be added to d² – 5d to make the expression a perfect square (a) 4/25 (b) 9/25 (c) 25/9 (d) 25/4

30. If 3 is a root of the equation x² – kx² + 42 = 0. Find the value of k (a) 17 (b) 18 (c) 19 (d) 20