- 1. Express the product of 0.06 and 0.09 in standard form
A) 5.4*10³
B) 5.4*10
C) 5.4*100
D) 5.4 * 10-¹
- 2. Evaluate (101.5)² - (100.5)²
A) 202
B) 2020
C) 20.2
D) 1
- 3. The angle of a sector of a circle of radius 3.4 cm is 115°. Find the area of the sector.
A) 9.4cm²
B) 11.6cm²
C) 12.7cm²
D) 10.2cm²
- 4. There are 30 students in a class. 15 study woodwork and 13 study metal work. 6 study neither of the 2 subjects. How many student study woodwork but not metal work?
A) 5
B) 9
C) 13
D) 11
- 5. Mr Manu is 4 times as old as his son, Adu. 7 years ago the sum of their ages was 76. How old is Adu?
A) 12 years
B) 18 years
C) 15 years
D) 22 years
- 6. A student measured the height of a pole as 5.98 m which is less than the actual height. If the percentage error is 5%, find correct to two d.p the actual height of the pole.
A) 6.65m
B) 7.18m
C) 7.67m
D) 6.29m
- 7. The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct to two d.p the total surface area.
(Take π=22/7)
A) 1206.87cm²
B) 1016.29cm²
C) 1106.29cm²
D) 1106.89cm²
- 8. The radius of a sphere is 3 cm. Find, in terms of π, its volume.
A) 30πcm³
B) 36πcm³
C) 27πcm³
D) 108πcm³
- 9. Factorize completely: x²−(y+z)²
A) (x -y + z) (x+y +z)
B) None
C) (x +y + z) (x - y - z)
D) (x - y)(x + y)
- 10. Mrs Kebeh stands at a distance of 110 m away from a building of vertical height 58 m. If Kebeh is 2 m tall, find the angle of elevation of the top of the building from her eye.
A) 27⁰
B) 16⁰
C) 28⁰
D) 20⁰
- 11. The price of a shoe was decreased by 22%. If the new price is $27.3. what is the original price.
A) $62.30
B) $35.00
C) $72.00
D) $42.30
- 12. Write the name of a triangle with the vertices (1, -3), (6, 2) and (0,4)?
A) Isosceles triangle
B) Equilateral triangle
C) Right -angle triangle
D) Scalene triangle
- 13. A notebook of length 15 cm was measured to be 16.8 cm, calculate, correct to two d.p, the percentage error in the measurement.
A) 11.71%
B) 11.21%
C) 12.00%
D) 10.71%
- 14. Find the mean deviation of assets of numbers: 14, 15, 16, 17, 18, and 19.
A) 3.5
B) 3.7
C) 2.5
D) 1.5
- 15. A group of students took a test and the following frequency table shows the scores above
Find the mode
A) 2
B) 3
C) 5
D) 4
- 16. A group of students took a test and the following frequency table shows the scores above
The mean score is
A) 1.75
B) 3
C) 2.75
D) 2
- 17. A trader bought 100 oranges at 5 for N1.20, 20 oranges got spoilt and the remaining were sold at 4 for N1.50. Find the percentage gain or loss.
A) 25% gain
B) 25% loss
C) 30% loss
D) 30% gain
- 18. A group of students took a test and the following frequency table shows the scores above
The median score is
A) 3
B) 5
C) 2
D) 7
- 19. If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what would be the population of the town in January, 2000?
A) 249, 600
B) 244, 800
C) 249, 696
D) 480, 000
- 20. In a youth club with 94 members, 60 like modern music, and 50 like traditional music. The number of members who like both traditional and modern music is three times those who do not like any type of music. How many members like only one type of music?
A) 24
B) 62
C) 8
D) 86
- 21. A man wishes to keep his money in a savings deposit at 25% compound interest so that after three years he can buy a car for N150,000. How much does he need to deposit?
A) #112, 000
B) #85, 714
C) #76,800
D) #96,000
- 22. In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.
A) 4
B) 6
C) 8
D) 3
- 23. Evaluate 21.05347 - 1.6324 x 0.43 to 3 decimal places
A) 20.351
B) 20.981
C) 20.352
D) 20.352
- 24. A car dealer bought a second-hand car for N250,000 and spent N70,000 refurbishing it. He then sold the car for N400,000. What is the percentage gain?
A) 60%
B) 25%
C) 32%
D) 20%
- 25. Find the principal which amounts to N5,500 at a simple interest in 5 years at 2% per annum.
A) #5000
B) #4800
C) #4700
D) #4900
- 26. A sector of a circle of radius 7.2cm which subtends an angle of 300° at the centre is used to form a cone. What is the radius of the base of the cone?
A) 7cm
B) 8cm
C) 9cm
D) 6cm
- 27. Change 432five to a number in base three.
A) 10100three
B) 10110three
C) 10110three
D) 11100three
- 28. In the diagram above, find the ratio |PQ|/|PR|
A) 2 : 5
B) 3 : 5
C) 3 : 2
D) 5 : 3
- 29. A weaver bought a bundle of grass for $ 50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the percentage profit.
A) 140%
B) 240%
C) 40%
D) 120%
- 30. Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.
A) 3500
B) 4000
C) 5000
D) 4500
- 31. Mary has $ 3.00 more than Ben but $ 5.00 less than Jane. If Mary has $ x, how much does Jane and Ben have altogether?
A) $(2x-2)
B) $(2x+8)
C) $(2x+2)
D) $(2x-8)
- 32. What value of p will make (x² - 4x + p) a perfect square?
A) -2
B) 16
C) 4
D) -8
- 33. An exterior angle of a regular polygon is 22.5°. Find the number of sides.
A) 14
B) 16
C) 13
D) 15
- 34. The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number.
A) 45
B) 65
C) 55
D) 75
- 35. The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.
Find the lower quartile
A) 12
B) 13
C) 20
D) 15
- 36. The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.
Find the mean
A) 33.35
B) 36.44
C) 35.54
D) 34.45
- 37. The mean of two numbers x and y is 4. Find the mean of four numbers x, 2x, y and 2y
A) 2
B) 4
C) 8
D) 6
- 38. A trader made a loss of 15% when an article was sold. Find the ratio of the selling price : cost price
A) 17: 20
B) 3:20
C) 20:23
D) 3:17
- 39. Calculate the value of x in the diagram above
A) 15⁰
B) 60⁰
C) 40⁰
D) 30⁰
- 40. A water tank is made with a right-angled trapezium - shaped vertical cross-section so that when it is placed on sloping ground the top of the tank is level. The dimension are given in the diagram above
If the tank is completely filled with water, how many cubic metres can it hold?
A) 168m³
B) 132m³
C) 264m³
D) 66m³
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