2016 WAEC (WASSCE) Mathematics Past Questions

Questions

1. 1.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

2. 2.

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

   1. A.- 8
   2. B.- 4
   3. C.4
   4. D.8

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   Answer: A. - 8

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3. 3.

   Express 1975 correct to 2 significant figures

   1. A.20
   2. B.1,900
   3. C.1,980
   4. D.2,000

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   Answer: D. 2,000

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4. 4.

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

   1. A.$\frac{n}{2} + \frac{5}{2}$
   2. B.$\frac{n}{2}$ - 5
   3. C.5 - $\frac{n}{2}$
   4. D.$\frac{n}{2}$ + 5

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   Answer: D. $\frac{n}{2}$ + 5

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5. 5.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

6. 6.

   Simplify; $\frac{3^{n - 1} \times 27^{n + 1}}{81^{n}}$

   1. A.32n
   2. B.9
   3. C.3n
   4. D.3n + 1

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   Answer: B. 9

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7. 7.

   The diagram, MOPQ is a trapezium with QP||MO, MQ||NP, NQ||OP, |QP| = 9cm and the height of $\Delta$ QNP = 6cm, calculate the area of the trapezium.

   1. A.96cm2
   2. B.90cm2
   3. C.81cm2
   4. D.27cm2

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   Answer: A. 96cm2

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8. 8.

   If cos $\theta$ = x and sin 60o = x + 0.5 0o < $\theta$ < 90o, find, correct to the nearest degree, the value of $\theta$

   1. A.32o
   2. B.40o
   3. C.60o
   4. D.69o

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   Answer: D. 69o

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9. 9.

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

   1. A.2.00
   2. B.3.67
   3. C.8.67
   4. D.11

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   Answer: D. 11

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10. 10.

    Make s the subject of the relation: P = S + $\frac{sm^2}{nr}$

    1. A.s = $\frac{mrp}{nr + m^2}$
    2. B.s = $\frac{nr + m^2}{mrp}$
    3. C.s = $\frac{nrp}{mr + m^2}$
    4. D.s = $\frac{nrp}{nr + m^2}$

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    Answer: D. s = $\frac{nrp}{nr + m^2}$

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11. 11.

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

    1. A.$\frac{5}{36}$
    2. B.$\frac{1}{6}$
    3. C.$\frac{5}{18}$
    4. D.$\frac{2}{3}$

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    Answer: B. $\frac{1}{6}$

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12. 12.

    A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ

    1. A.$\frac{3}{5}$
    2. B.$\frac{2}{3}$
    3. C.$\frac{3}{2}$
    4. D.$\frac{5}{3}$

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    Answer: C. $\frac{3}{2}$

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13. 13.

    Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8...

    1. A.13, 19, 23
    2. B.9, 11, 13
    3. C.11, 15, 19
    4. D.13, 21, 34

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    Answer: D. 13, 21, 34

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14. 14.

    Simplify: ($\frac{3}{4} - \frac{2}{3}$) x 1$\frac{1}{5}$

    1. A.$\frac{1}{60}$
    2. B.$\frac{5}{72}$
    3. C.$\frac{1}{10}$
    4. D.1$\frac{7}{10}$

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    Answer: C. $\frac{1}{10}$

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15. 15.

    What sum of money will amount to D10,400 in 5 years at 6% simple interest?

    1. A.D8,000.00
    2. B.D10,000.00
    3. C.D12,000.00
    4. D.D16,000.00

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    Answer: A. D8,000.00

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16. 16.

    Simplify:($\frac{10\sqrt{3}}{\sqrt{5}} - \sqrt{15}$)2

    1. A.75.00
    2. B.15.00
    3. C.8.66
    4. D.3.87

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    Answer: B. 15.00

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17. 17.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

18. 18.

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

    1. A.4.5m
    2. B.6.0m
    3. C.7.5m
    4. D.9.0m

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    Answer: C. 7.5m

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19. 19.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

20. 20.

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

    1. A.$\frac{2}{3}$
    2. B.2
    3. C.3
    4. D.6

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    Answer: C. 3

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21. 21.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

22. 22.

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

    1. A.1
    2. B.2
    3. C.3
    4. D.4

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    Answer: B. 2

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23. 23.

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

    1. A.8.60m
    2. B.7.83m
    3. C.7.51m
    4. D.7.15m

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    Answer: D. 7.15m

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24. 24.

    The curve surface area of a cylinder, 5cm high is 110cm 2. Find the radius of its base. [Take $\pi = \frac{22}{7}$]

    1. A.2.6cm
    2. B.3.5cm
    3. C.3.6cm
    4. D.7.0cm

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    Answer: B. 3.5cm

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25. 25.

    A bag contains 5 red and 4 blue identical balls. Id 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 is blue

    1. A.$\frac{2}{9}$
    2. B.$\frac{5}{18}$
    3. C.$\frac{20}{81}$
    4. D.$\frac{5}{9}$

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    Answer: C. $\frac{20}{81}$

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26. 26.

    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?

    1. A.Le 2,250,000.00
    2. B.Le 22,700,000.00
    3. C.Le 3,600,000.00
    4. D.Le 4,500,000.00

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    Answer: A. Le 2,250,000.00

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27. 27.

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

    1. A.2cm2
    2. B.4cm2
    3. C.8cm2
    4. D.8cm2

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    Answer: B. 4cm2

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28. 28.

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

    1. A.Joseph plays football in Nigeria therefore he is a good footballer
    2. B.Joseph is a good footballer therefore he is a Nigerian footballer
    3. C.Joseph is a Nigerian footballer therefore he is a good footballer
    4. D.Joseph plays good football therefore he is a Nigerian footballer

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

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29. 29.

    If 23x + 101x = 130x, find the value of x

    1. A.7
    2. B.6
    3. C.5
    4. D.4

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    Answer: D. 4

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30. 30.

    Simplify $\frac{(p - r)^2 - r^2}{2p^2 - 4pr}$

    1. A.$\frac{1}{2}$
    2. B.p - 2r
    3. C.$\frac{1}{p - 2r}$
    4. D.$\frac{2p}{p - 2r}$

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    Answer: A. $\frac{1}{2}$

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31. 31.

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

    1. A.30
    2. B.24
    3. C.18
    4. D.12

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    Answer: B. 24

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32. 32.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

33. 33.

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

    1. A.90cm
    2. B.135cm
    3. C.180cm
    4. D.225cm

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    Answer: C. 180cm

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34. 34.

    Find the values of y for which the expression $\frac{y^2 - 9y + 18}{y^2 + 4y - 21}$ is undefined

    1. A.6, -7
    2. B.3, -6
    3. C.3, -7
    4. D.-3, -7

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    Answer: C. 3, -7

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35. 35.

    Find the lower quartile of the distribution illustrated by the cumulative frequency curve

    1. A.17.5
    2. B.19.0
    3. C.27.5
    4. D.28.0

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    Answer: D. 28.0

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36. 36.

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

    1. A.16
    2. B.14
    3. C.13
    4. D.11

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    Answer: C. 13

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37. 37.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

38. 38.

    Simplify; $\frac{2}{1 - x} - \frac{1}{x}$

    1. A.$\frac{x + 1}{x(1 - x)}$
    2. B.$\frac{3x - 1}{ x(1 - x)}$
    3. C.$\frac{3x + 1}{ x(1 - x)}$
    4. D.$\frac{x - 1}{ x(1 - x)}$

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    Answer: B. $\frac{3x - 1}{ x(1 - x)}$

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39. 39.

    $\begin{array}{c|c} Age(years) & 13 & 14 & 15 & 16 & 17 \\ \hline Frequency & 10 & 24 & 8 & 5 & 3 \end{array}$ Find the median age

    1. A.13
    2. B.14
    3. C.15
    4. D.16

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    Answer: B. 14

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40. 40.

    A straight line passes through the point P(1,2) and Q (5,8). Calculate the length PQ

    1. A.$4\sqrt{11}$
    2. B.$4\sqrt{10}$
    3. C.$2\sqrt{17}$
    4. D.$2\sqrt{13}$

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    Answer: D. $2\sqrt{13}$

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41. 41.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

42. 42.

    The perimeter of a sector of a circle of radius 21cm is 64cm. Find the angle of the sector [Take $\pi = \frac{22}{7}$]

    1. A.70o
    2. B.60o
    3. C.55o
    4. D.42o

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    Answer: B. 60o

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43. 43.This question needs a diagram, table or passage that we don't have yet, so it isn't shown.

44. 44.

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

    1. A.3
    2. B.5
    3. C.6
    4. D.8

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    Answer: A. 3

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45. 45.

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

    1. A.1
    2. B.3
    3. C.7
    4. D.17

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    Answer: C. 7

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46. 46.

    Examine M' $\cap$ N from the venn diagram

    1. A.{f, g}
    2. B.{e}
    3. C.{e, f, g}
    4. D.{e, f, g}

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    Answer: D. {e, f, g}

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47. 47.

    The roots of a quadratic equation are $\frac{4}{3}$ and -$\frac{3}{7}$. Find the equation

    1. A.21x2 - 19x - 12 = 0
    2. B.21x2 + 37x - 12 = 0
    3. C.21x2 - x + 12 = 0
    4. D.21x2 + 7x - 4 = 0

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    Answer: A. 21x2 - 19x - 12 = 0

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48. 48.

    Age(years) 13 14 15 16 17 Frequency 10 24 8 5 3 The table shows the ages of students in a club. How many students are in the club?

    1. A.50
    2. B.55
    3. C.60
    4. D.65

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    Answer: A. 50

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49. 49.

    Factorize; (2x + 3y)2 - (x - 4y)2

    1. A.(3x - y)(x + 7y)
    2. B.(3x + y)(2x - 7y)
    3. C.(3x + y)(x - 7y)
    4. D.(3x - y)(2x + 7y)

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    Answer: A. (3x - y)(x + 7y)

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