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THEORY QUESTIONS
WAEC SYLLABUS

WASSCE 2016

Objectives



1. If 23x + 101x = 130x find the value of x

A. 7

B. 6

C. 5

D. 4


2. Simplify:, (3/4 - 2/3) x 1 ½

A .1/60

B. 5/72

C. 1/10

D. 1 7/10


3. Simplify:- (10√3/- √15)2


A . 72

B. 15.00

C. 8.66

D. 3.87


4. The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45 cm in 3 seconds, how far will it fall in 6 seconds?

A. 90 cm

B. 135 cm

C. 180 cm

D. 225 cm


5. Which of the following is a valid conclusion from the premise: "Nigerian footballers are good footballers"?

A. Joseph plays football in Nigeria therefore he is. a good footballer

B. Joseph is a good footballer therefore he is a Nigerian footballer

C. Joseph is a Nigerian footballer therefore he is a good footballer

D Joseph plays good football therefore he is a Nigerian footballer


ANSWERS ©ensoft ®

6. On a map, 1 cm represents 5 km. Find the area on the map that represents 100 km2.

A. 2 cm2

B. 8.4 cm2

C. 8 cm2

D.16 cm2​





8. What sum of money will amount to 010,400.00 in 5 years at 6% simple interest?

A. D8,000.00

B. D10.000.00

C. 012,000.00

D. D16.000.00


9. Which of the following number lines illustrates the solution of the inequality 4 ≤ 1/3 (2x -1) < 5?





10. The roots of a quadratic equation are 4/3and -3/7. Find the equation.

A.21x2-19x-12 = 0

B. 21x2 + 37x -12 = 0

C.21x2-x+12 = 0

D.21x2 + 7x-4 = 0


ANSWERS ©ensoft ®

11. Find the values of y for which the expression (y2 – 9y + 18) / (y2 + 4y - 21) is undefined

A. 6, - 7

B. 3, - 6

C. 3, - 7

D. -3 -7


12. Given that 2x + y = 7 and 3x - 2y = 3, by how much is 7x greater than 10?

A. 1

B. 3

C. 7

D. 17







15. Factorize: (2x + 3y)2 – (x – 4y)2

A- (3x - y)(x + 7y)

B. (3x + y)(2x - 7y)

C. (3x + y)(x - 7y)

D. (3x – y)(2x + 7y)


ANSWERS ©ensoft ®

16. The curved surface area of a cylinder, 5 cm high, is 110 cm2. Find the radius of its base. [Take π = 22/7]

A. 2.6 cm

B. 3.5 cm

C. 3.6 cm

D. 7.0cm


17. The volume of a pyramid with height 15 cm2 is 90cm3. If its base is a rectangle with dimensions x cm by 6 cm, find the value of x.

A. 3

B. 5

C. 6

D. 8





18. In the diagram, VW is a tangent to the circle at X, \UV/ = |VX/ and ∠VXW= 50°. Find the value of ∠UXY.

A. 70°

B.80°

C. 1050

D 1100





19 In the diagram, PF, QT. RG intersect at S and PQ//RG. If ∠SPQ = 113° and ∠RST. = 22°, find ∠PSQ

A. 22°

B. 450

C. 67°

D. 890





20. In the diagram, O is the centre of the circle, ∠XOZ = (10 m)0 and ∠XWZ = m0. Calculate the value of m.

A. 30

B. 36

C.40

D. 72


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21. Kweku walked 8 m up a slope and was 3 m above the ground. If he walks 12 m further up the slope, how-far above the ground will he be

A. 4.5 m

B. 6.0 m

C.7.5m

D. 9.0 m





22. In the diagram, TS is a tangent to the circle at S. /PR/ = /RS/ and ∠PQR = 117°., Calculate ∠PST.

A. 54°

B. 440

C. 34°

D. 600





23. P Q R In the diagram, PR/SV//WY, TX /QY, ∠PQY = 480 and ∠TXW = 600. Find ∠TQU.

A. 1200

B. 1080

C. 720

D. 600


A straight line passes through the points P(1,2) and Q(3t.4

Use this information to answer questions 2A and 25


24. Calculate the gradient of the line PQ

A. 3/5

B. 2/3

C. 3/2

D. 5/3


25. Calculate the length PQ

A. 4 √11

B.4 √10

C. 2 √17

D. 2 √13


ANSWERS ©ensoft ®



26. T In the diagram TX is perpendicular to UW, /UX/ = 1 cm and /TX/ = /WX/ = √3 cm. Find ∠UTW

A. 135°

B. 105°

C. 75°

D. 60°


27. If cos θ = x and sin 600 = x + 0.5.00 < θ < 900, find, correct to the nearest degree, the value of θ

A. 66°

B. 67°

C. 68°

D. 69°





28. How many students are in the club?

A. 50

B. 55

C. 60

D. 65


29. Find the median age.

A. 13

B. 14

C.15

D. 16





The figure is a pie chart which represents the expenditure of a family in a year. If the total income of the family was Le 10,800,000,00, how much was spent on food?

A. Le 2,250,000,00

B. Le 2,700.000.00

C. Le 3,600,000,00

D. Le 4,500,000,00


ANSWERS ©ensoft ®

31. A fair die is thrown two times. What is the probability that the sum of the scores is at least 10?

A. 5/36

B. 1/6

C. 5/18

D. 2/3


32. The marks of eight students in a test are: 10, 4, 5, 3, 14, 13, 16 and 7. Find the range.

A. 16

B. 14

C. 13

D. 11.00


33. lf log2 (3x- 1) = 5, find x

A. 2. 00

B. 3.67

C. 8.67

D. 11.00


34. A sphere of radius r cm has the same volume as a cylinder of radius 3 cm and height 4 cm. Find the value of r.

A. 2/3

B. 2

C. 3

D. 6


35. Express 1975 correct to 2 significant figures

A. 20

B. 1,900

C. 1,980

D.2,000


ANSWERS ©ensoft ®



36. In the diagram, MOPQ is a trapezium with QP//MO, MQ//NP, NQ//QP, \QP\ = 9 cm and the height of AQNP = 6 cm, calculate the area of the trapezium.

A. 96 cm2

B. 90 cm2

C. 81cm2

D. 27 cm2


37. The perimeter of a sector of a circle of radius 21 cm is 64 cm. Find the angle of the sector. [Take π = 22/7]

A. 70°

B. 60°

C. 55°

D. 42°





38. Determine M-2 ⋂ N from the Venn diagram.

A. {f, g)

B. {e}

C. {c, f, g}

D. {e, f, g}


39. If 20 (mod 9) is equivalent to y (mod 6), find y

A. 1

B. 2

C. 3

D. 4




ANSWERS ©ensoft ®



41. In the diagram, O is the centre of the circle, ∠QPS = 100°, ∠PSQ = 60° and ∠QSR = 80°. Calculate ∠ZSQR.

A. 20°

B. 40°

C. 60°

D. 80°


42. A bag contains 5 red and 4 blue identical balls. If two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second blue.

A. 2/9

B. 5/18

C. 20/81

D. 5/9


43. The relation y = x2 + 2x + k passes through the point (2,0). Find the value of k.

A. -8

B. -4

C. 4

D. 8


44. Find the next three terms of the sequence: 0, 1, 1, 2, 3, 5, 8 ……

A 13, 19, 23

B. 9, 11, 13

C. 11, 15, 19

D. 13, 21, 34





45. Find the lower quartile of the distribution illustrated by the cumulative .

A. 17.5

B. 19.0

C. 27.5

D. 28.0


ANSWERS ©ensoft ®

46. The ratio of the exterior angle to the interior angle of a regular polygon is 1 :11. How many sides has the polygon?

A. 30

B. 24

C.18

D. 12


47. Halima is n years old. Her brother's age is 5 years more than half of her age. How old is her brother?

A. n/2 + 5/2

B. n/2 - 5

C. 5 - n/2

D. n/2 + 5





48. In the diagram MN is a chord of a circle KMN centre O and radius 10 cm. If ∠MON = 140°, find, correct to the nearest cm, the length of the chord MN.

A.19cm

B.18cm

C.17cm

D.12cm


49. An object is 6 m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50°, find, correct to 2 decimal places, the height of the mast.

A. 8.60 m

B. 7.83 m

C. 7.51m

D. 7.15m





50. From the diagram, which of the following is true?

A. m + n + p= 180°

B. m + n = 180°

C. m=p + n

D. n = m+p



WASSCE JUNE 2016 MATHEMATICS OBJECTIVE TEST

ANSWERS

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


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