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