- 1. Convert 75 in base ten to base four
A) 112 B) 1023 C) 16 D) 1001011
- 2. Convert 1264 in base eight to base ten
A) 6 B) 20 C) 692 D) 44
- 3. Find the value of (101)3 in base two
A) 1111011 B) 1111101 C) 1000111 D) 1010110
- 4. Calculate 324 + 233 in base six
A) 102 B) 233 C) 1050 D) 1001
- 5. Find the difference between 42 in base nine and 111 in base five
A) 66 B) 9 C) 14 D) 7
- 6. Given P = 242 in base five and Q = 14 in base five. Calculate PQ.
A) 10043 B) 12101 C) 101 D) 10005
- 7. 11110 ÷ 110 in base two = _____
A) 1011 B) 110 C) 101 D) 6
A) Irrational number B) Rational number
- 9. Write 8.3° as a rational number
A) 20/3 B) 43/9 C) 25/3 D) 314/99
- 10. 5 rubbers cost #240 and 8 rubbers cost #384. (a) Does the cost of rubbers vary directly or inversely with the numbers bought? (b) Find the cost of 9 rubbers.
A) (a) Inversely proportional (b) #432 B) (a) Directly proportional (b) #432 C) (a) Directly proportional (b) #458 D) (a) Inversely proportional (b) #458
- 11. Find the compound interest on #5 000 for 3 years at 5% per annum
A) #2 250.43 B) #788.125 C) #674.125 D) #10 674.3
- 12. Factorise the quadratic expression d2 + 7d + 10
A) (d -2) (d + 5) B) (d + 6) (d + 4) C) (d + 2) (d + 5) D) (d - 2) (d - 5)
- 13. Factorise (5m + 2n) ( 6a + b) - (5m + 2n) ( a - 4b)
A) (5m + 2n) 5(a - b) B) 5m + 2n) (5a - 3b) C) (5m + 2n) (7a + 5b) D) (5m + 2n) 5(a + b)
- 14. Factorise the expression πR2 - πr2. Hence find the value of the expression when π = 22/7, R = 9 and r = 5
A) 176 B) 30 C) 22/7 D) 4400
- 15. Solve the equation x -4/5 = 2 -x/2
A) x = -6 B) x = 4 C) x = 1/3 D) x = 18
- 16. Clear the fraction in the equation 2t + 5/t -2 = 7/3
A) t = 29 B) t = -1/5 C) t = 1/4 D) t = 15/2
- 17. Make x the subject of formula in h/x = k
A) h+k B) h/k C) hk D) k/h
- 18. Given 3x - 2y = 8, express x in terms of y and find x when y = 11
A) x = 8 - 2y/3, x = -10 B) x = 8 + 2y/3, x = 10 C) x = 8 (2y/3), x = -30 D) x = 8 (2y/3), x = 30
- 19. If y = 3 - x, find the value of y when x = 5
A) 15 B) 2 C) -15 D) -2
- 20. The formula c = 180n + 450 gives the weekly cost, c naira, of running a household for n people. Find the weekly cost for 5 people .
A) #1 450 B) #1 170 C) #2 450 D) #1 350
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