MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 1

MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 1

MATHEMATICS FIRST TERM EXAMINATION QUESTIONS FOR SSS 1

FIRST TERM EXAMINATION 2021

SUBJECT: MATHEMATICS

CLASS: S.S.S.1

1. Convert 1010110₂ to base ten       (a) 86      (b) 2951      (c) 199      (d) 718

2. Convert 2077₁₀ to base eight     (a) 1100101      (b) 4035       (c)  112020        (d) 3504

3. Convert 1.101₂ bicimals to decimals      (a) 6.251     (b) 62.51      (c) 1.625      (d) 2.375

4. Simplify x^½   = 4      (a)  64     (b) 46      (c)  32       (d) 16

5. Express 0.0078 in standard form    (a) 0.78 x 10^-3 (b) 0.78 x 10³   (c) 7.8 x 10^-3 (d) 7.8 x 10^-3

6. Evaluate 34.83 ÷ 5.427 using logarithm table    (a) 18.91    (b) 1.891   (c)  1891   (d) 189.1

7. Convert 10121₃ to base ten      (a) 52    (b) 85    (c)  97     (d) 100

8. Which of the following is equal to 4/5   (a) 16/15 (b) 20/25 (c) 16/20 (d) 10/20

9. Evaluate 234₅ + 434₅ leaving your answer in base five (a) 668  (b) 200  (c) 1303 (d) 1223

10. Evaluate 13233₄ ÷ 23₄ leaving your answer in base six  (a)  231 (b) 113  (c) 737  (d) 154

11. If (230)_n = (1111)₂ =  (1111) find the value of n     (a)  3     (b)  4     (c)  5   (d) 6

12. Simplify 8/27^2/3  (a) 2/3   (b) 2/9   (c) 4/9   (d) 4/3

13. Evaluate 49^1/2 x 3⁰ x 4^3/2  (a)  56     (b) 63     (c) 28     (d) 14

14. Simplify 0.0027^-2/3 (a) 9/100 (b) 3/10 (c) 100/9 (d) 10/3

15. If 2r3/2 = 54. Find the value of  r     (a)  3     (b) 27     (c)  81     (d) 9

16. In the equation 9^2x-1 x 3^3x-1 = 27^x+3  Find the value of x    (a) 3    (b) 3/2    (c) 5    (d) 9

17. Express 392.5 in standard form  (a) 3.925 x 10^-3 (b) 3.925 x 10²   (c) 3.925 x 10^-2   (d) 3.925 x 10³

18. Express 1.03 x 10^-3 in ordinary form  (a) 0.0013    (b) 0.013    (c)  0.00103    (d) 0.0103

19. If Log_0.532 = x.  Find the value of x    (a) – 4      (b) – 5       (c) – 3      (d) 5

20. Find the value of Log₃81  (a) 2  (b) 3  (c)  4   (d) 9

21. Using logarithm tables, find the values of 8.4 x 18.7 x 7.23  (a) 1136  (b) 1026  (c)  11.36  (d) 102.6

22. If Log₄0.125 = m. Find the value of m    (a) – 3  (b) 2    (c) – 3/2 (d) -4/3

23. If Set A = (even numbers between 1 and 30) the n(A) is _____  (a) 15   (b) 14   (c)  13  (d) 12

24. Solve the equation (x – 2)(x+7) = 0  (a) x = 2 or – 7  (b) x =a – 7 or – 2 (c) x – 2 or 7  (d) x = 3 or 7

25. Solve the equation 3x + 2/6 – 2x – 7/9 (a) x = +4     (b) x = – 4      (c) x = +8     (d) x = – 8

26. If Set A = (All counting numbers less than 5) and Set B = (Even numbers less than 8). Find AυB    27. (a)  (1, 2, 3, 4, 6)    (b) (1, 2, 3, 4, 5)    (c)  (2, 4, 6)     (d) (3, 4, 5, 6)

28. If Set A = (11, 12, 13, 14) and  B = (w, x, y, z) Find  AnB  (a) Ø   (b) (11, 12, 13, 14, w, x, y, z)    (c) (11, 12, 13, 14)    (d) (w, x, y, z)

29. Given that set P = (1, 2, 3) and Q = (– 1, 0, 1, 2) find PnQ  (a) (2)   (b) (  )    (c) (– 1, 1)    (d) (1, 2)

30. Factorize x² + 8x – 20 (a) (x + 10) (x – 2)    (b) (x – 10)(x – 2)    (c) (x – 10) (x+2)    (d) (x+10)²

Solve the equation 4 – 4x = 9 – 12x    (a) 8/5 (b) 5/8  (c) 1

SECTION B: THEORY

Answer any four questions

1. Simplify the following

(i) 1101_two + 1101_two

(ii) 1131_six – 455_six

2. Find the value of (i) log_x0.0625   (ii) log_x1/27   (iii) log_x64

3. Solve the following equation

(i)   a(a + 3) = 0

(ii)  (m – 5)² = 0

4. Solve the following equations

(i)  x^1/2 = 4

(ii)  8^x = 32

5. Simplify the following

i. 16/54[1/2]

ii. 5^2(x – 1) x 5^x – 3 = 0.04