MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 2 MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 2

MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 2

FIRST TERM EXAMINATION 2021

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SUBJECT: MATHEMATICS

CLASS: S.S.S.2

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 logaN = x, then N is equal to  (a) xa  (b) xN (c)  ax   (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  32x-y = 1 and 16x/4 = 83x-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

SECTION B: THEORY

Evaluate the following

(a) Log7 + 2 log2 – log280

(b) Log (20/4 + 2 log(6/5) – log(4/125)

Evaluate root94100 x 38.2/ 5.683 x 8.14

The first and last term of an A.P. are 0 and 108. If the sum of the series is 702. Find

(a)    the numbers of terms in the A.P.

(b)    the common difference

Given the geometric progression 5, 10, 20, 40, 80. Find its

(i)     9th term

(ii)    47th term

Find the sum and the product of the roots of the equation

(i)    5x2 – 4x – 9 = 0

(ii)   2x2 + 9x = 6

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