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THEORY QUESTIONS
WAEC SYLLABUS

WASSCE 2014

Objectives



1. Simply: 10 2/5 - 6 2/3 + 3.

A. 6 4/15

B. 6 11/15

C. 7 4/15

D. 7 11/15


2. If 23X = 325, find the value of x.

A. 7

B. 6

C. 5

D. 4


3. The volume of a cube is 512cm. find the length of its side.

A. 6cm

B. 7cm

C. 8cm

D. 9cm


The bar chart below shows the scores of some students in a test. Use it to answer questions 4 and 5.





4. How many students took the test?

A. 18

B. 19

C. 20

D. 22


5. If one student is selected at random. Find the probability that he/she scored at most 2 marks.

A. 11/18

B. 11/20

C. 7/22

D. 5/19


ANSWERS

6. Simplify: √12 (√48- √3).

A. 18

B. 16

C. 14

D. 12


7. Which of the following number lines represents the solution to the inequality: -9 ≤ 2/3 x -7 < 5?







8. In the diagram, the value of x+y = 2200. Find the value of n.

A. 200

B. 400

C. 600

D. 800



9. Given that x>y and 3 3 II.x<3 III.x>y>3.

A. I only

B. I and II only

C. I and III only

D. I, II and III


10. Three quarters of a number added to two and a half of that number gives 13. Find the missing number.

A. 4

B. 5

C. 6

D. 7


ANSWERS

11. If X = {0,2,4,6}, Y = {1,2,3,4} and Z = {1,3}, are subsets of U = {x 0 ≤ x ≤ 6) find x ∩(Y∪Z). A. {0,2,6}

B. {1,3}

C. {0,6}

D. {0,8}


12. Find the truth set of the equation {x2 = 3 (2x + 9}

A. {x : x = 3,x =9}

B. {x : x = -3,x =9}

C. {x : x = -3,x = -9}

D. {x : x = -3, x =9}


13. The coordinates of pints P and Q are (4, 3) and (2,-1) respectively. Find the shortest distance between P and Q.….

A. 10√2

B. 4√5

C. 5√2

D. 2√5







15. In the diagram, < QPT = < pts =900, < PQR = 1100 and < TSR = 200. Find the size of of the obtuse angle QRS.

A. 1400

B. 1300

C. 1200

D. 1100


ANSWERS

16. If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

A. x ɑ z

B. x ɑ 1/z

C. x ɑ z2

D. x ɑ 1/z2


17. 1/2 Find the gradient of the line joining the points (2, - 3) and (2,5).

A. 0

B. 1

C. 2

D. undefined.


18. If (x – a) is a factor of bx – ax + x2 – ab, find the other factor.

A. (x +b)

B. (x – b)

C. (a + b)

D. (a – b)


19. Height 2 3 4 5 6

Frequency 2 4 5 3 1

The table shows the distribution of the height of plants in a nursery. Calculate the mean height of the plants.

A. 3.8

B. 3.0

C. 2.8

D. 2.3





20. In the diagram, PQR is a straight line, (m + n) = 1200 and (n + r) = 1000. Find (m + r).

A. 1100

B. 1200

C. 1400

D. 1600


ANSWERS



21. In the diagram, SR is parallel to UW, Use the diagram to answer questions 21 and 22. Find the value of x.

A. 200

B. 450

C. 650

D. 1350


22. Calculate the value of y.

A. 200

B. 250

C. 450

D. 650


23. The area of a sector of a circle with diameter 12cm is 66cm2. If the sector is folded to form a cone, calculate the radius of the base of the cone. [Take π = 22/7]

A. 3.0cm

B. 3.5cm

C. 7.0cm

D. 7.5cm


24. A chord, 7 cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the center of the circle.

A. 0.7cm

B. 1.2cm

C. 2.0cm

D. 2.5cm


25. Which of the following is a measure of dispersion?

A. range

B. percentile

C. median

D. quartile



26. A box contains 13 currency notes, all of which are either N50 or N20 notes. The total value of the currency notes is N530. How many N50 notes are in the box?

A. 4

B. 6

C. 8

D. 9


ANSWERS



27. The graph below is for the relation y = 2x2+x-1. Use it to answer questions 27 and 28. What are the coordinates of the point S?

A. (1,0.2)

B. (1,0.4)

C. (1,2.0)

D. (1,4.0)


28. Find the minimum value of y.

A. 0.00

B. – 0.65

C. – 1.25

D. – 2.10


29. A ship sails x km due east to a point E and continues x km due norths to F. Find the bearing of F from the starting point.

A. 0450

B. 0900

C. 1350

D. 2250


30. If x :y = 3 : 2 and y : z = 5 : 4, find the value of x in the ratio x : y : z.

A. 8

B. 10

C. 15

D. 20


ANSWERS

31. A trader bought sachet water for GHc 55.00 per dozen and sold them at 10 for GHc 50.00. Calculate, correct to 2 decimal places, his percentage gain.

A. 8.00%

B. 8.30%

C. 9.09%

D. 10.00%





32. In the diagram, PQ is a tangent to the circle at R and UT is parallel to PQ . If , TRQ= x0, find ,URT in terms of x.

A. 2x0

B. (90 – x)0

C. (90 + x)0

D. (180 - x)0


33. Given that cos x = 12/13, evaluate (1-tan ⁡x)/tan⁡ x

A. 5/13

B. 5/7

C. 7/5

D. 13/5


34. Approximate 0.0033780 to 3 significant figures.

A. 338

B. 0.338

C. 0.00338

D. 0.003 35.




ANSWERS

36. If 2/(x-3) - 3/(x-2) is equal to P/((x-3)(x-2)), find P.

A. – x – 5

B. - (x + 3)

C. 5x – 13

D. 5 – x


37. Subtract 1/2 (a–b–c) from the sum of 1/2 (a–b+c) and 1/2 (a+b–c)

A. 1/2 (a+b+c)

B. 1/2 (a–b–c)

C. 1/2 (a–b+c)

D. 1/2 (a+b–c)


38. A man’s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3 m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

A. 330

B. 320

C. 270

D. 260


39. A chord subtends an angle of 1200 at the center of a circle of radius 3.5 cm. find the perimeter of the minor sector containing the chord. [Take π= 22⁄7].

A. 141/3cm

B. 125/6cm

C. 81/7cm

D. 73/4cm


40. In parallelogram, PQRS, QR is produced to M such that /QR/ = /RM/. What fraction of the area of PQMS is the area of PRMS?

A. 1/4

B. 1/3

C. 2/3

D. 3/4


ANSWERS



41. Determine the value of m in the diagram.

A. 800

B. 900

C. 1100

D. 1500


42. In a cumulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is at most 18 years or greater than 48 years.

A. 15%

B. 35%

C. 65%

D. 85%


43. If a number is selected at random from each of the sets P = {1,2,3} and Q = {2,3,5}, find the probability that the sum of the numbers is prime.

A. 5/9

B. 4/9

C. 1/9

D. 2/9





44. In the diagram, O is the center of the circle, PR is a tangent to the circle at Q and, SOQ = 860. Calculate the value of, SQR.

A. 430

B. 470

C. 540

D. 860


45. If log 5.957 = 0.7750, find log ∛0.0005957.

A. 4.1986

B. 2.92250

C. 1.5917

D. 1.2853


ANSWERS

46. The probability of an event P happening is 1/5 and that of event Q is 1/4. If the events are independent, what is the probability that neither of them happens?

A. 4/5

B. 3/4

C. 3/5

D. 1/20


47. Each exterior angle of a polygon is 300. Calculate the sum of the interior angles.

A. 5400

B. 7200

C. 10800

D. 18000


48. Find the number of terms in the Arithmetic Progression (A.P.) 2, – 9, – 20, …, – 141

A. 11

B. 12

C. 13

D. 14


49. In what modulus is it true that 9 + 8 = 5?

A. mod 10

B. mod 11

C. mod 12

D. mod 13


50. The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level is P is 10 cm high, what would be the height of the same quantity of water in Q?

A. 2.5cm

B. 5.0cm

C. 7.5cm

D. 20.0cm


ANSWERS

WASSCE 2014 MATHEMATICS OBJECTIVE TEST

ANSWERS

​1. B 2. A 3. C 4. C 5. B 6. A 7. D 8. B 9. C 10. A 11. C 12. D 13. D 14. A 15. B 16. B 17. D 18. A 19. A 20. C 21. B 22. B 23. B 24. B 25. A 26. D 27. C 28. C 29. A 30. C 31. C 32. D 33. C 34. C 35. C 36. D 37. A 38. C 39. A 40. C 41. B 42. C 43. A 44. A 45. 1.075 46. C 47. D 48. D 49. C 50. A


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