DURATION – 2½

# SECTION A- OBJECTIVES

INSTRUCTION – ATTEMPT ALL QUESTIONS IN THIS SECTION. ALL QUESTIONS CARRY EQUAL MARK

1. Write 20 : 8 in a mixed fraction.

(a) 2¾

(b) 2½

(c) 2¼

(d) 2 1/8

2. Calculate the perimeter of a triangle in (cm) whose dimensions are 1 m 60 m, 1 m 80 cm and 2 m.

(a) 460 cm

(b) 576 cm

(c) 540 cm

(d) 660 m

3. The point of intersection of x and y axis in a graph is called a/an _______.

(a) Cartesian

(b) Cordinate

(c) Origin

(d) Plane

4. In a toss of a fair die, the probability of getting a five a _______.

(a) ½

(b) 1/6

(c) 1/5

(d) 5/6

5. Simplify -8 – (-12) + (-2).

(a) -22

(b) +22

(c) -2

(d) +2

6. Write the sum of MC and CD in Hindu-Arabic.

(a) 1100

(b) 1300

(c) 1500

(d) 1700

7. Solve the Simultaneous equation of x +y =8 and x + y=2.

(a) x = 3, y = 2

(b) x = -3, y = 15

(c) x = 5, y = -3

(d) x = 5, y = 3

8. Factorize : 3 +y + 6YZ.

(a) 9xyz

(b) 36xyz

(c) 3y (xy+2)z

(d) 3y(x+2)z

9. Find the area of a parallelogram with base 8cm and vertical height 5cm.

(a) 80cm²

(b) 40cm²

(c) 26cm²

(d) 13cm²

10. A tennis ball is a typical example of _______.

(a) Circl

(b) Cone

(c) Hemi sphere

(d) Sphere

11. If F is the number of faces, E is the number of edges and V is the number of vertices. Calculate V-E +F for an hexagonal prism .

(a) 2

(b) 4

(c) 6

(d) 8

12. _______ has an infinite number of lines of symmetry.

(a) Circle

(b) Rectangle

(c) Square

(d) Equilateral triangle

13. Find the median of the following decimal 0.1, 0.2, 0.3, 0.4, 0.6, 0.7 and 0.8.

(a) 0.2

(b) 0.3

(c) 0.4

(d) 0.6

14. The table shows the prices and numbers of commodities bought. If the total price is 50, find the value of x.

(a) 8

(b) 42

(c) 24

(d) 3

15. Express 100111two in base ten.

(a) 32ten

(b) 38ten

(c) 36ten

(d) 39ten

16. Simplify 3 1/5 + 1 ¼ – 2 2/3.

(a) 2¾

(b) 2¼

(c) 1¾

(d) 1¼

17. A prime number has only two factors which are _______ and _______.

(a) 1 and any other number

(b) 2 and 3

(c) 1 and 2

(d) 1 and itself

18. A man is x years old and his son is y years old What is their average age?

(a) ( ½ xy) years

(b) (x+y) years

(c) (x/2 +y/2) years

(d) (x+y/2xy) years

19. If the sum of even and prime numbers gives even number. What is the actual value of the prime number.

(a) 7

(b) 5

(c) 3

(d) 2

20. _______ divides a circle into equal parts.

(a) Arc

(b) Chord

(c) Diameter

21. Simplify t – (t – (1 + t)).

(a) 1 + t

(b) t – 1

(c) 1 – t

(d) t

22. Calculate the volume of a cube of length 8m.

(a) 24 m³

(b) 512 m³

(c) 576 m³

(d) 800 m³

23. Find the reciprocal of 1/5.

(a) – 5

(b) 0.2

(c) 1/25

(d) 5

23. A trader made a profit of 35% on an article he bought for N5000.00. How much did he sell the article?

(a) ₦1, 750.00

(b) ₦3, 250.00

(c) ₦6, 750.00

(d) ₦7, 500.00

24. Find the difference between the median and the mode of the scores 4, 3, 5, 9, 4, 6, 3, 8, 6, 4, 5.

(a) 5

(b) 4

(c) 3

(d) 1

25. Three brother wunmi, niyi and Daze share a quantity of walnuts in the ratio 3 : 4 : 5. If wunmi got 21 walnuts, how many did Niyi get?

(a) 12 walnuts

(b) 20 walnuts

(c) 28 walnuts

(d) 35 walnuts

26. Solve ½ – 6/a = 2.

(a) – 4

(b) – 3

(c) 3

(d) 4

27. The ratio of the inverse of tan is _______.

(b) Opposite/Hypotenuse

28. Add 110001two and 100010two and leave your answer in base two.

(a) 10100112

(b) 10110112

(c) 10101112

(d) 10111112

29. Find the value of x.

(a) 150º

(b) 140º

(c) 130º

(d) 120º

30. Express N6.5 trillion in digest.

(a) ₦650 000 000 000

(b) ₦65 000 000 00

(c) ₦650 000 000

(d) ₦65 000 000

31. If the exchange rate of dollar to naira N1, 450, how much will \$280 amount to _______.

(a) ₦406,000

(b) ₦460,000

(c) ₦604,000

(d) ₦640,00

32. A car travelled 180km in 45 minutes, find the speed of the car in km/h.

(a) 240km/h

(b) 140 km/h

(c) 100 km/h

(d) 80 km/h

33. Find the missing number in the subtraction.

4 3 M 5 3

– 2 6 9 8 6

________

1 6 0 6 7

(a) 3

(b) 2

(c) 1

(d) 0

35 What is the value of the digit 5 in 652 009?

(a) 50

(b) 500

(c) 5 000

(d) 50 000

36. In the figure above, angle y is an alternate angle to _______.

(a) x

(b) 58º

(c) z

(d) none

37. Mr Eze bought a new plasma TV for ₦75,000, later he sold it for ₦45,000.00. Calculate the percentage loss?

(a) 30%

(b) 40%

(c) 50%

(d) 60%

38. Calculate the volume of a cone, if the height is 3cm and the base radius is 7.

(a) 145 cm³

(b) 154 cm³

(c) 452 cm³

(d) 462 cm³

39. Factorize 1 – (a-b)²

(a) (1 – a – b)(1 – a + b)

(b) (1 + ab) (1 + a – b)

(c) (1 – a + b) (1 + a + b)

(d) (1 + a + b) (1 + a – b)

40. The sum of four consecutive odd number is 80. Find the fourth number.

(a) 13

(b) 19

(c) 23

(d) 27

41. Find the value of x.

(a) 60º

(b) 150º

(c) 30º

(d) 50º

42. Arrange 5/9, 2/3 and 8/21 in ascending order of magnitude.

(a) 2/3, 5/9 and 8/21

(b) 5/9, 8/21 and 2/3

(c) 2/3, 8/21 and 5/9

(d) 8/12, 5/9 and 2/3

43. Simplify 3x/2 + 5x/3.

(a) 19x/6

(b) 8x/5

(c) 19x/5

(d) 8x/6

44. Find the coefficient of y in the expansion of (2y-1)(y-6).

(a) -13

(b) -12

(c) +12

(d) +13

Given that y = 2x + 2, use the equation to solve questions 45 and 46.

45. Find the value y when x = 2.

(a) 2

(b) 6

(c) -6

(d) -2

45. Find the value of y when x = -2.

(a) 2

(b) 1

(c) -1

(d) -2

46. The graph represents _______.

(a) Trigonometric graph

(b) Simultaneous graph

(d) Linear graph

47. The mean 16,18, x ,121 and 8 is 15, calculate the x _______.

(a) 19

(b) 20

(c) 21

(d) 22

48. Find the perimeter of a rectangle with length 11 cm and its area is 99 cm².

(a) 40 cm

(b) 38 cm

(c) 20 cm

(d) 11. cm

49. Simplify √(1 11/25).

(a) 1.02

(b) 1.20

(c) 1.22

(d) 1.44

50. If x : 3/5 =2/3, find x.

(a) 2/5

(b) 1/5

(c) 2/3

(d) 1/3

# SECTION B – THEORY

INSTRUCTION – Attempt Four (4) questions only. All questions carry equal marks.

QUESTION 1

A. Solve the equation 2a + 1 = a + 5 leaving your answer in mixed fraction.

B. Calculate the simple interest on N60,000:00 for 3 years at 5% per annum.

QUESTION 2

A. A cylindrical tank for storing oil has a capacity of 1078cm3. If its heights and its radius are equal, calculate the depth of oil in the tank when full (Take =22/7).

B. Find the value of y in the figure.

QUESTION 3

A. The age of daughter is represented by x and her mother is 5 times older than her daughter. If the sum of their ages is 30 years.

I. Form an equation with these sentences.

II. Hence, determine the ages of the daughter and the mother.

B. Find the volume of a cylindrical tank whose radius is 10cm and the height is 21cm Take Ω = 22/7).

QUESTION 4

A. A crate containing 24 bottles of fruit juice is made up of 10 bottles of oranges, 8 bottles of apple and 6 bottles of lemon. If one bottle is picked at a random what is the probability of getting the following to the lowest.

I. Apple

II. Orange

III. Lemon

B. Solve the equation 5(2x+3) + 3(5x -2) = 84.

QUESTION 5

A. Make v the subject of the formula, E = mv²/2.

B. Find the value of v when m = 2 and E = 64

C. Solve the following equations.

I. 17x – 2(6x – 1) = 8

II. 8x – 6 = 3x + 9