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THEORY QUESTIONS
WAEC SYLLABUS

WASSCE 2019

Objectives



1. Express correct to three significant figures, 0.003597.

A. 0.359

B. 0.004

C. 0.00360

D. 0.0359


2. Evaluated: (0.064) - 1/3

A. 5/2

B. 5/2

C. - 2/5

D. - 5/2


3. Solve (1+1)/2 - (2y-1)/3 = 4

A. y=19

B. y=-19

C. y=-29

D. y=29


4. Simplify correct to three significant figures, (21.63)2 - (12.37)2

A. 614

B. 612

C. 611

D. 610


5. If 7 + y = 4 (mod8), find the least value of y, 10≤y≤30

A. 11

B. 13

C. 19

D. 21


ANSWERS

6. If T = (Prime numbers) and M = (Odd Numbers) are subjects of {x:0<x<10, and x is an integer}, find (T1 ∩ M1)

A. {4,6,8,10}

B. {1,4,6,8,10,}

C. {1,2,4,6,8,10}

D. {1,2,3,5,7,8 ,9}





8. If 23y = 111two, find the value of y.

A. 4

B. 5

C. 6

D. 7


9. If 6, p and 14 are consecutive terms in an Arithmetic progression (AP), Find the value of p.

A.9

B. 10

C.6

D. 8


10. Evaluate: 2√28- 3√50+√72

A. 4√7- 21√2

B. 4√7- 11√2

C.4√7- 9√2

D. 4√7+√2


ANSWERS



12. H varies directly as p and inversely as the square of y, If H is 1, p = 8 and y = 2, find H in terms of p and y.

A. H= P/4Y 2

B. H= 2P/y2

C. H= P/2Y 2

D. H= P/y2


13. Solve 4x2 - 16x 15 = 0.

A. x=11/2 or - 2 1/2

B. x=11/2 or x = 21/2

C. x=11/2 or x = 11/2

D. x=11/2 or x = 21/2


14. Evaluate (0.42 + 2.5)/(20.5 × 2.95) ,leaving the answer in the standard form.

A. 1.639 x 102

B. 1.639 x 101

C. 1.639 x 10-1

D. 1.639 x 10-2​




ANSWERS

16. Bala sold an article for ₦6,900.00 and made a profit of 15%. Calculate his percentage profit if he sold it for ₦6,00.00.

A. ₦5%

B. ₦10%

C. ₦12%

D. ₦13%


17. If 3p =4g and 9p = 8g – 12, find the value of pg.

A. 12

B. 7

C. -7

D.12


18. If (0.25)y= 32, find the value of y.

A. y= -5/2

B. y= -3/2

C. y= 3/2

D. y= 5/2


19. There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy.

A. 1/6

B. 1/4

C. 1/3

D. 1/2




ANSWERS

21. Which of this value would make (3p-) / (p2-) undefined?

A. 1

B. 1/3

C. -1/3

D. -1


22. The total surface area of a solid cylinder 165 cm2. If the base diameter is 7cm. calculate its height. (Take π=22/7)

A. 7.5 cm

B. 4.5 cm

C. 4.0 cm

D. 2.0 cm


23. If 2π = √(64 ) and b/a = 3, Evaluate a2+b2

A. 250

B. 160

C. 90

D. 48


24. In XYZ, /YZ/ = 32 cm, <YXZ 520 and XZY = 900. Find correct to the nearest centimeter /XZ/.

A. 31 cm

B. 25 cm

C. 20 cm

D. 13 cm




ANSWERS

26. An arc subtends an angel of 720 at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5cm. (Takeπ= 22/7)

A. 6.6 cm

B. 8.8. cm

C. 4.4 cm

D. 2.2 cm





28. Eric sold his house through an agent who charged 8% commission on the selling price. If Eric received $111,760.00 after the sale, what was the selling price of the house?

A. $130,000.00

B. $128,000.00

C. $125,000.00

D. $120,000.00


29. Find the angle which an arc of length 22cm subtends at the centre of radius 15cm. (Takeπ= 22/7)

A. 700

B. 840

C. 960

D. 1560


30. A rectangular doubled had length 15cm and width xcm. If its sides are doubled, find its new area.

A. 60x cm2

B. 45x cm2

C. 30x cm2

D. 15x cm2


ANSWERS



32. Factorize completely: (2x+2y)(x-y)+(2x-2y)(x+y)

A. 4(x+y)(x+y)

B. 4(x+y)

C. 2(x+y)(x+y)

D. 2(x+y)


33. The interior angles of a polygon are 3x0, 2x0, 4x0, 3x0 and 6x0, find the size of the Smallest angle of the polygon.

A. 800

B. 600

C. 400

D. 300


34. A box contains 2 whiter and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are different color?

A. 2/3

B. 3/3

C. 7/20

D. 12/25


35. Find the equation of a straight line passing through the point (1,-5) and the having gradient of 3/4

A. 3x+4y-23=0

B. 3x+4y+23=0

C. 3x-4y-23=0

D. 3x-4y-23=0


ANSWERS

36. The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8m above the ground. How long is the ladder?

A. 14 m

B.12 m

C. 10 m

D. 7 m


37. If tan x=3/4 ,0 evaluate cos⁡x/2 sin⁡ x

A. 8/3

B. 3/2

C. 4/3

D. 2/3


38. Find the top of a vertical cliff 20m high a boat at sea can be sighted 75 m away and on the same horizontal position at the foot of the Clift. Calculated, correct to the nearest degree, the angler of depression of the boat from the top of the Clift.

A. 560

B. 750

C. 160

D. 150​






ANSWERS

41. Calculate the value of x.

A. 700

B. 580

C. 550

D. 480


42. Calculate the variance of 2, 4, 7, 8 and 9

A. 7.2

B. 6.8

C. 3.5

D. 26


43. The Fourth term of an arithmetic Progression (A.P) is 37 and the first term is – 20. Find the common difference.

A. 63

B. 57

C. 19

D. 17





44. Find the value of m.

A. 1300

B. 1050

C. 750

D. 550


45. Find the value of n.

A. 400

B. 550

C. 750

D. 1300


ANSWERS

46. A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at rando?

A. 1/6

B. 1/4

C. 1/3

D. 1/2


47. The pie chart represents fruits on display in a grocery shop, if there are 60 oranges on display, how many apples are there? A. 90 B. 80 C. 70 D. 40





A. 90

B. 80

C. 70

D. 40


The following are scores obtained by some students in test.

8 18 10 14 18 11 13

14 13 17 15 8 16 13


48. Find the mode of the distribution.

A. 18

B. 14

C. 13

D. 8


49. Find the median score

A. 14.5

B. 14.0

C. 13.5

D. 13.0


50. How Many students scored above the mean score?

A. 10

B. 9

C. 8

D. 7



WASSCE JUNE 2019 MATHEMATICS OBJECTIVE TEST

ANSWERS

​ 1. C 2. A 3. D 4. B 5. B 6. A 7. D 8. C 9. C 10. C 11. B 12. C 13. B 14. C 15. B 16. B 17. A 18. A 19. C 20. D 21. A 22. C 23. C 24. B 25. C 26. C 27. A 28. B 29. B 30. A 31. A 32. A 33. B 34. D 35. D 36. C 37. D 38. D 39. C 40. C 41. B 42. B 43. C 44. D 45. C 46. C 47. A 48. C 49. C 50. D


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