- 1. Find the quantity of which 5g is 33⅓%.
A) 10g
B) 15g
C) 20g
D) 25g
- 2. If p² − q² = (p + q)(p − q), Evaluate (121)² − (79)².
A) 8400
B) 4206
C) 8900
D) 8404
- 3. Find the value of (101)₂ in base ten.
A) 11001
B) 00001
C) 10000
D) 10001
- 4. x ∝ 1/y and x=3 when y=2, find x when y=4.
A) 3/2
B) 5/2
C) 4
D) 2
- 5. Simplify 8×10⁹ / 4×10⁶.
A) 2 × 10‐³
B) None
C) 2 × 10³
D) 2 × 10¹⁵
- 6. The volume of 1 kg of liquid is 0.84 litres. What is the volume of 7.6 kg of the same liquid?
A) 6.384l
B) 6.28l
C) 8.283l
D) 6.05l
- 7. Find the next four terms of the sequence: 2, 5, 8, 11, 14 …
A) 17, 18, 19, 20
B) 15, 16, 17, 18
C) 17, 20, 23, 26
D) 11, 14, 15, 16
- 8. A car travels 84km in 2 hours. How far does it travel in 3 hours?
A) 216km
B) 261km
C) 621km
D) 126km
- 9. Find the discount price if discount of 10% is given on a cost price of ₦430.
A) #430
B) #387
C) #403
D) #40
A) XY(Y - Z)
B) YZ(X - A)
C) Z(YZ - Y)
D) XY(Z - Y)
- 11. Solve the equation a - (7 - a) = 5.
A) 4
B) 6
C) 8
D) 14
- 12. Six notebooks cost ₦180. Find the cost of 44 notebooks.
A) #3201
B) #1320
C) #12392
D) #2301
- 13. If 5 is multiplied by its multiplicative inverse, the result is ______.
A) -5
B) -5
C) 1/5
D) 1
- 14. Find the price if a discount of 20% is given on an article costing ₦27,000.
A) #21600
B) #21000
C) #20000
D) #20600
- 15. In a basket of 100 oranges, 26 are bad. What percentage is good?
A) 26%
B) 76%
C) 74%
D) 40%
- 16. The angle of elevation of the top of a building is 25° from a point 80m away on level ground. Calculate the height of the building to 2 significant figures.
A) 370m
B) 0.37m
C) 37.0m
D) 3.70m
- 17. Find to the nearest degree the angle whose tangents is 3/4.
A) 38.76⁰
B) 37.86⁰
C) 36.87⁰
D) 36.78⁰
- 18. The area of a square is less than 49cm², find the length.
A) 7cm
B) 4cm
C) 10cm
D) 14cm
A) 4a² - 6a + 9
B) 4a² - 12a + 9
C) 4a² + 12a + 9
D) 4a² - 6a + 9
- 20. Find the product of (101)₂ and 7 (in base ten)
A) 35
B) 40
C) 13
D) 45
- 21. Each face of the cube is in the shape of
A) Rectangle
B) Pentagon
C) Triangle
D) Square
- 22. Divide the sum of 1/8 and 1/9 by 17/12
A) 6/17
B) 1/6
C) 17/6
D) 17/12
- 23. Find the simple interest on ₦30,000 for 2 years at the rate of 7% per annum.
A) #16800
B) #4200
C) #43000
D) #4340
- 24. Convert 30₈ to base ten.
A) 29
B) 36
C) 43
D) 24
- 26. Express 2 days as a ratio of two weeks.
A) 2:7
B) 7:1
C) 1:7
D) 2:2
- 27. Find the area of a circle of radius 7cm. (Take π = 22/7)
A) 616cm²
B) 44cm²
C) 214cm²
D) 154cm²
- 28. 56 is divided by the sum of 4 and x. If the result is 7, find x.
A) 3
B) 6
C) 2
D) 4
- 29. Find the area of a sector of a circle of radius 7cm, the angle at the centre being 108°.
A) 46.2cm²
B) 44.2cm²
C) 45.2cm²
D) 46.3cm²
- 30. Find the HCF of 8pq and 24p².
A) 11p²
B) 8p
C) 2p
D) 8pq
- 31. Divide 52 by the sum of 1 and the product of 2 and 6.
A) 57
B) 0.25
C) 4
D) 6
- 32. If y = 40x², find y when x is 1.5.
A) 90
B) 65
C) 0
D) 40
- 33. What is the reciprocal of h in A = ½bh.
A) b/2A
B) 2A/b
C) bh
D) 2A
- 34. If y = 2x - 9, express x in terms of y.
A) x= y - 9
B) y - x/2
C) x=2y - 9
D) x=(y + 9)/2
- 35. Factorise (100x² - 1)
A) (100x - 1)(x + 1)
B) (10x + 1)(10x - 1)
C) (10x - 1)(10x + 1)
D) (10x - 1)(10x + 1)
- 36. Divide 52 by the sum of 1 and the product of 2 and 6.
A) 7
B) 57
C) 0.25
D) 4
- 37. Find the value of x if x/5=2
A) 5
B) 1
C) 10
D) 2
- 38. Find x in the figure below
A) 62⁰
B) 57⁰
C) 118⁰
D) 122⁰
- 39. In the figure below, which of the following is an expression for h in terms of d and alpha
.
A) d/ cos alpha
B) d sin alpha
C) d cos alpha
D) d/sin alpha
- 40. Find y in the diagram below
A) 5cm
B) 5m
C) 16cm
D) 0.05m
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