2022 MATHEMATICS objectives and paper 2 for WASSCE(WAEC)

WASSCE/WAEC Mathematics (2022) Questions and Answers 1 - 10

1. Evaluate, correct to four significant figures, (573.06 * 184.25).

7. A weaver bought a bundle of grass for # 50.00 from which he made 8 mats. If each mat was sold for # 15.00, find the percentage profit

8. Find the 17th term of the Arithmetic Progression (A.P): -6, -1, 4, ---

9. M varies directly as n and inversely as the square of p. If M = 3 hen n = 2 and p = 1, find M in terms of n and p

WASSCE/WAEC Mathematics (2022) Questions and Answers 11 - 20

11. Three boys shared D10,500.00 in the ratio 6:7:8. Find the largest share

12. The length of a piece of stick is 1.75m. A boy measured it as 1.80m. Find the percentage error

14. Mary has # 3.00 more than Ben but # 5.00 less than Jane. If Mary has # x, how much does Jane and Ben have altogether?

15. Consider the statements:

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p: Stephen is intelligent

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q: Stephen is good at Mathematics

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15. If p $\Rightarrow$ q, which of the following is a valid conclusion?

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(a) If Stephen is good at Mathematics, then he is intelligent

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(b) If Stephen is not good at Mathematics, then he is intelligent

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(c) If Stephen is not intelligent, then he is not good at Mathematics

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(d) If Stephen is not good at Mathematics, then he is intelligent

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The correct answer is: (b) If Stephen is not good at Mathematics, then he is intelligent

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16. What value of p will make ($x^2 - 4x + p$) a perfect square?

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(a) -2

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(b) 16

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(c) 4

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(d) -8

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The correct answer is: (c) 4

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17. Find the value of x such that $\frac{1}{x} + \frac{4}{3x} - \frac{5}{6x} + 1$ is zero.

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(a) $\frac{1}{6}$

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(b) $\frac{1}{4}$

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(c) $- \frac{3}{2}$

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(d) $- \frac{7}{6}$

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The correct answer is: (c) $- \frac{3}{2}$

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18. Make t the subject of $k = {\sqrt [m]{\frac {t - p}{r}}}$

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(a) $t = {\frac {{rk}^2 + p}{m^2}}$

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(b) $t = \frac {{rk}^2 + {pm}^2}{m^2}$

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(c) $t = {\frac {{rk}^2 - p}{m^2}}$

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(d) $t = {\frac {{rk}^2 + p^2}{m^2}}$

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The correct answer is: (b) $t = \frac {{rk}^2 + {pm}^2}{m^2}$

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19. From the diagram above, |XY| = |YZ| and < XYZ = ${130}^o$. Find the value of $y^o$.

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(a) ${50}^o$

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(b) ${65}^o$

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(c) ${25}^o$

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(d) ${155}^o$

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The correct answer is: (d) ${155}^o$

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20. An exterior angle of a regular polygon is ${22.5}^o$. Find the number of sides

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(a) 13

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(b) 14

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(c) 15

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(d) 16

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The correct answer is: (d) 16

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WASSCE/WAEC Mathematics (2022) Questions and Answers 21 - 30

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In the diagram above, < POQ = ${150}^o$ and the radius of the circle PSQR is 4.2 cm take $[{\pi} = \frac{22}{7}]$. Use the information to answer question 21 and 22.

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21. Find the length of the minor arc PRQ.

22. Find the area of the sector OPSQ

24. A cylinder opened at one end, has a radius of 3.5 cm and height 8 cm. Calculate the total surface area. [Take pi = 22/7]

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(a) ${126.5cm}^2$

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(b) ${165.0cm}^2$

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(c) ${212.0cm}^2$

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(d) ${214.5cm}^2$

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The correct answer is: (d) ${214.5cm}^2$

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25. From the diagram above, < WZY and < WYX are right angles. Find the perimeter of WXYZ.

26. The length of a rectangle is 10cm. If its perimeter is 28 cm, find the area.

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(a) ${30 cm}^2$

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(b) ${40 cm}^2$

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(c) ${60 cm}^2$

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(d) ${80 cm}^2$

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The correct answer is: (b) ${40 cm}^2$

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27. In the diagram, MRW and MNST are straight lines. |MN| = |NR|, < MNR = ${110}^o$ and < WRS = ${86}^o$. Find the value of $x^o$

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(a) ${86}^o$

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(b) ${70}^o$

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(c) ${51}^o$

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(d) ${42}^o$

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The correct answer is: (c) ${51}^o$

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28. A boy 1.4m tall stood 10 m away from a tree of height 12 m. Calculate, correct to the nearest degree, the angle of elevation of the top of the tree from the boy's eyes

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(a) ${71}^o$

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(b) ${47}^o$

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(c) ${19}^o$

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(d) ${8}^o$

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The correct answer is: (b) ${47}^o$

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29. Given that ${sin(5x - 28)}^o = {cos(3x - 50)}^o, {0}^o \leqq {x} \leqq {90}^o$, find the value of x

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(a) 39

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(b) 32

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(c) 21

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(d) 14

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The correct answer is: (c) 21

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In the diagram above, MNR is a tangent to the circle centre O at N and < NOS = ${108}^o$. Use the information to answer questions 30 and 31.

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30. Find < OSN

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(a) ${72}^o$

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(b) ${42}^o$

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(c) ${36}^o$

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(d) ${18}^o$

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The correct answer is: (c) ${36}^o$

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WASSCE/WAEC Mathematics (2022) Questions and Answers 31 - 40

32. Mrs Gabriel is pregnant. The probability that she will give birth to a girl is 1/2 an the probability that the baby will have blue eys is 1/4. What is the probability that she will give birth to a girl with blue eyes?

33. The mean of a set of 10 numbers is 56. If the mean of the first nine numbers is 55, find the 10th number.

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(a) 75

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(b) 65

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(c) 55

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(d) 45

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The correct answer is: (b) 65

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34. Simplify $\frac {2 - {18m}^2}{1 + 3m}$

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(a) 2(1 + 3m)

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(b) ${2(1 + {3m}^2)}$

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(c) 2(1 - 3m)

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(d) ${2(1 - {3m}^2)}$

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The correct answer is: (c) 2(1 - 3m)

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35. In the diagram, triangle PQR is inscribed in a circle. PS is a tangent to the circle at P. find < PRQ

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(a) ${49}^o$

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(b) ${58}^o$

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(c) ${73}^o$

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(d) ${131}^o$

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The correct answer is: (a) ${49}^o$

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36. In the diagram, triangle MNR is inscribed in circle MNR and PQ is a straight line. If < MRN = ${41}^o$ and < PMR = ${141}^o$, find < QNR

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(a) ${39}^o$

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(b) ${89}^o$

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(c) ${110}^o$

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(d) ${141}^o$

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The correct answer is: (b) ${89}^o$

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Solve: $\frac {y + 2}{4} - \frac {y - 1}{3} > 1$

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(a) y < -10

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(b) y < -2

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(c) y < 2

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(d) y < 10

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The correct answer is: (b) y < -2

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The ages (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41, 13, 39, 43, 41, and 36. Use the information to answer question 30 and 39

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38. Find the lower quartile

39. Find the mean

40. Find, correct to two decimal places, the volume of a sphere whose radius is ]3 cm. [Take pi = 22/7]

42. Find the volume of a cone of radius 3.5 cm and vertical height 12 cm. [take pi = 22/7]

43. A local community has two newspapers: The Morning Times and the Evening Dispatch. The Morning Times is read by 45% of households and the Evening Dispatch by 60%. If 20% of the households read both papers, find the probability that a particular households reads at least one paper.

45. The mean of two numbers x and y is 4. Find the mean of the four numbers x, 2x, y and 2y.

46. The straight line y = mx - 4 passes through the point (-4, 16). Calculate the gradient of the line.

48. A trader made a loss of 15% when an article was sold. Find the ratio of the selling price to the cost price

Download WASSCE/WAEC General Mathematics pdF (2022) Paper 2 (essay questions and answer 1 - 13)

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