2010 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.

   A car uses one litre of petrol for every 14km. If one of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?

   1. A.420km
   2. B.405km
   3. C.210km
   4. D.200km

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   Answer: D. 200km

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3. 3.

   Given that $\frac{5^{n +3}}{25^{2n -3}}$ = 5º, find n

   1. A.n = 1
   2. B.n = 2
   3. C.n = 3
   4. D.n = 5

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   Answer: C. n = 3

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4. 4.

   What is the length of a rectangular garden whose perimeter is 32cm and area 39cm2?

   1. A.25cm
   2. B.18cm
   3. C.13cm
   4. D.9cm

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   Answer: C. 13cm

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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.

   The nth term of the sequence -2, 4, -8, 16.... is given by

   1. A.Tn = 2n
   2. B.Tn = (-2)n
   3. C.Tn = (-2n)
   4. D.Tn = n

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   Answer: B. Tn = (-2)n

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7. 7.

   If sin 3y = cos 2y and 0o $\leq$ 90o, find the value of y

   1. A.18o
   2. B.36o
   3. C.54o
   4. D.90o

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   Answer: A. 18o

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

9. 9.

   Given that tan x = 1, where 0o $\geq$ x 90o, evaluate $\frac{1 - \sin^2 x}{\cos x}$

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

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

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

11. 11.

    A rectangle has length xcm and width (x - 1)cm. If the perimeter is 16cm. Find the value of x

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

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    Answer: C. 4$\frac{1}{2}$cm

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12. 12.

    How many times, correct to the nearest whole number, will a man run round circular track of diameter 100m to cover a distance of 1000m?

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

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    Answer: A. 3

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13. 13.

    Bola sold an article for N6,900.00 and made a profit of 15%. If he sold it for N6,600.00 he would make a

    1. A.profit of 13%
    2. B.loss of 12%
    3. C.Profit of 10%
    4. D.loss of 5%

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    Answer: C. Profit of 10%

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14. 14.

    Simplify 2$\sqrt{3}$ - $\frac{6}{\sqrt{3}} + \frac{3}{\sqrt{27}}$

    1. A.1
    2. B.$\frac{1}{3}\sqrt{3}$
    3. C.2$\sqrt{3} - 5\frac{2}{3}$
    4. D.6$\sqrt{3}$ - 17

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    Answer: B. $\frac{1}{3}\sqrt{3}$

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15. 15.

    An empty rectangular tank is 250cm long and 120cm wide. If 180 litres of water is poured into the tank. Calculate the height of the water

    1. A.6.0cm
    2. B.5.5cm
    3. C.5.0cm
    4. D.4.5cm

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    Answer: A. 6.0cm

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16. 16.

    The sum of 6 and one-third of x is one more than twice x, find x

    1. A.x = 7
    2. B.x = 5
    3. C.x = 3
    4. D.x = 2

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    Answer: C. x = 3

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17. 17.

    The diagram shows a rectangular cardboard from which a semi-circle is cut off. Calculate the area of the remaining part

    1. A.44cm2
    2. B.99cm2
    3. C.154cm2
    4. D.165cm2

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    Answer: B. 99cm2

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18. 18.

    Simplify 0.000215 x 0.000028 and express your answer in standard form

    1. A.6.03 x 109
    2. B.6.02 x 109
    3. C.6.03 x 10-9
    4. D.6.02 x 10-9

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    Answer: D. 6.02 x 10-9

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19. 19.

    The diagram is a net right rectangular pyramid. Calculate the total surface area

    1. A.208cm2
    2. B.112cm2
    3. C.92cm2
    4. D.76cm2

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    Answer: A. 208cm2

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20. 20.

    $\begin{array}{c|c} \text{No. of pets} & 0 & 1 & 2 & 3 & 4 \\ \hline \text{No. of students} & 8 & 4 & 5 & 10 & 3\end{array}$ The table shows the number of pets kept by 30 students in a class. If a student is picked at random ftom the class. What is the probability that he/she kept more than one pet?

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

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    Answer: C. $\frac{3}{5}$

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21. 21.

    The mean age of R men in a club is 50 years, Two men aged 55 and 63, left the club and the mean age reduced by 1 year. Find the value of R

    1. A.18
    2. B.20
    3. C.22
    4. D.28

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    Answer: B. 20

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

23. 23.

    What is the value of x when y = 5? y = $\frac{1}{2}$  x + 1

    1. A.8
    2. B.9
    3. C.10
    4. D.11

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    Answer: A. 8

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24. 24.

    The sum of the exterior of an n-sided convex polygon is half the sum of its interior angle. find n

    1. A.6
    2. B.8
    3. C.9
    4. D.12

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    Answer: A. 6

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25. 25.

    A casting is made up of Copper and Zinc. If 65% of the casting is Zinc and there are 147g of Copper. What is the mass of the casting?

    1. A.320g
    2. B.420g
    3. C.520g
    4. D.620g

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    Answer: B. 420g

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26. 26.

    The bar chart shows the marks distribution in am English test. What percentage of the students had marks ranging from 35 to 50?

    1. A.55$\frac{1}{3}$%
    2. B.60%
    3. C.65%
    4. D.66$\frac{2}{3}$%

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    Answer: A. 55$\frac{1}{3}$%

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27. 27.

    The sum of 2 consecutive whole numbers is $\frac{5}{6}$ of their product, find the numbers

    1. A.3, 4
    2. B.1, 2
    3. C.2, 3
    4. D.0, 1

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    Answer: C. 2, 3

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28. 28.

    Simplify $\frac{2}{2 + x} + \frac{2}{2 - x}$

    1. A.$\frac{4}{4 - x^3}$
    2. B.$\frac{8}{4 - x^2}$
    3. C.$\frac{4x}{4 - x^2}$
    4. D.$\frac{8 - 4x}{4 - x^2}$

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    Answer: B. $\frac{8}{4 - x^2}$

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29. 29.

    $\begin{array}{c|c} x & 0 & 2 & 4 & 6\\ \hline y & 1 & 2 & 3 & 4\end{array}$. The table is for the relation y = mx + c where m and c are constants. What is the equation of the line described in the tablet?

    1. A.y = 2x
    2. B.y = x + 1
    3. C.y = x
    4. D.y = $\frac{1}{2}x + 1$

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    Answer: D. y = $\frac{1}{2}x + 1$

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30. 30.

    If x km/h = y m/s, then y =

    1. A.$\frac{7}{18}$x
    2. B.$\frac{11}{20}$x
    3. C.$\frac{4}{15}$x
    4. D.$\frac{5}{18}$x

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    Answer: D. $\frac{5}{18}$x

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31. 31.

    In an athletic composition, the probability that an athlete wins a 100m race is $\frac{1}{8}$ and the probability that he wins in high jump is $\frac{1}{4}$. What is the probability that he wins only one of the events?

    1. A.$\frac{3}{32}$
    2. B.$\frac{7}{3}$
    3. C.$\frac{5}{3}$
    4. D.$\frac{5}{16}$

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    Answer: D. $\frac{5}{16}$

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32. 32.

    The bar chart shows the marks distribution in am English test. If 50% is the pass mark, how many students passed the test?

    1. A.100
    2. B.85
    3. C.80
    4. D.70

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    Answer: D. 70

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33. 33.

    If y = $\frac{(2\sqrt{x^2 + m})}{3N}$, make x the subject of the formular

    1. A.$\frac{\sqrt{9y^2 N^2 - 2m}}{3}$
    2. B.$\frac{\sqrt{9y^2 N^2 - 4m}}{2}$
    3. C.$\frac{\sqrt{9y^2 N^2 - 3m}}{2}$
    4. D.$\frac{\sqrt{9y^2 N - 3m}}{2}$

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    Answer: B. $\frac{\sqrt{9y^2 N^2 - 4m}}{2}$

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34. 34.

    The subtraction below is in base seven. Find the missing number. 5 1 6 2seven -2 6 4 4seven -------- 2 * 1 5 --------

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

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    Answer: A. 2

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35. 35.

    If x2 + kx + $\frac{16}{9}$ is a perfect square, find the value of k

    1. A.$\frac{8}{3}$
    2. B.$\frac{7}{3}$
    3. C.$\frac{5}{3}$
    4. D.$\frac{2}{3}$

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    Answer: A. $\frac{8}{3}$

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

37. 37.

    Given that P = {x : 1 $\leq x \leq 6$}, and Q = {x : 2 $\leq x \leq 10$} where x is an integer. Find n(P $\cap$ Q)

    1. A.5
    2. B.6
    3. C.8
    4. D.10

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    Answer: A. 5

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

40. 40.

    Simplify 1$\frac{1}{2} + 2\frac{1}{3} \times \frac{3}{4} - \frac{1}{2}$

    1. A.-2$\frac{1}{3}$
    2. B.-2$\frac{1}{4}$
    3. C.2$\frac{1}{8}$
    4. D.2$\frac{3}{4}$

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    Answer: D. 2$\frac{3}{4}$

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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 mean of the numbers 2, 5, 2x and 7 is less than or equal to 5. Find the range of the values of x

    1. A.x $\leq$ 3
    2. B.x $\geq$ 3
    3. C.x < 3
    4. D.x > 3

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    Answer: A. x $\leq$ 3

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43. 43.

    Solve the inequality: 3(x + 1) $\leq$ 5(x + 2) + 15

    1. A.x $\geq$ -14
    2. B.x $\leq$ - 14
    3. C.x $\geq$ -11
    4. D.x $\leq$ - 11

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    Answer: C. x $\geq$ -11

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44. 44.

    If the sum of the roots of the equation (x - p)(2x + 1) = 0 is 1, find the value of x

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

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

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45. 45.

    Correct 0.002473 to 3 significant figure

    1. A.0.002
    2. B.0.0024
    3. C.0.00247
    4. D.0.0025

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    Answer: C. 0.00247

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

47. 47.

    Given that = {x: -2 < x $\leq$ 9}, where x is an integer what is n(T)?

    1. A.9
    2. B.10
    3. C.11
    4. D.12

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    Answer: C. 11

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

49. 49.

    Factorize: x + y - ax = ay

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

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    Answer: C. (x + y)(1 - a)

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