2023 GENERAL MATHEMATICS objectives and paper 2 for WASSCE(WAEC)

WASSCE/WAEC General Mathematics (2023) Questions and Answers 1 - 10

2. There are 30 students in a class. 15 study woodwork and 13 study metal work. 6 study neither of the two subjects. How many students study woodwork but not metalwork?

7. Mr. Manu is 4 times as old as his son, Adu. 7 years ago, the sum of their ages was 76 years. How old is Adu?

10. M varies jointly as the square of n and square root of q. If M = 24 when n = 2 and q = 4, find M when n =5 and q = 9.

WASSCE/WAEC General Mathematics (2023) Questions and Answers 11 - 20

12. One-third the sum of two numbers is 12. Twice their difference is 12 Find the numbers

15. The price of a shoe was decreased by 22%. If the new price was #27.30, what was the original price?

16. The radius and height of a solid cylinder are 8cmm and 14cm respectively. Find, correct to two decimal places, the total surface area. [take pi = 22/7]

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(a) ${1,106.28cm}^2$

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(b) ${1,016.29cm}^2$

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(c) ${1,106.29cm}^2$

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(d) ${1,206.27cm}^2$

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The correct answer is: (c) ${1,106.29cm}^2$

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17. In the diagram above, O is the centre of the circle NST |NT| = |ST| and < NTS = $36^o$. Find the measure of the angle marked t.

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(a) $36^o$

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(b) $72^o$

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(c) $108^o$

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(d) $54^o$

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The correct answer is: (a) $36^o$

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18. A sphere has a radius 3cm. Find in terms of $\pi$, its volume

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(a) 27 $\pi {cm}^3$

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(b) 108 $\pi {cm}^3$

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(c) 36 $\pi {cm}^3$

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(d) 30 $\pi {cm}^3$

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The correct answer is: (c) 36 $\pi {cm}^3$

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19. Arrange the following numbers in ascending order of magnitude: ${110}_{two}, {31}_{eight}, {42}_{five}$

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(a) ${110}_{two}, {31}_{eight}, {42}_{five}$

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(b) ${110}_{two}, {42}_{eight}, {31}_{five}$

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(c) ${31}_{two}, {42}_{eight}, {110}_{five}$

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(d) ${42}_{two}, {31}_{eight}, {110}_{five}$

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The correct answer is: (b) ${110}_{two}, {42}_{eight}, {31}_{five}$

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20. A notebook of length 15cm was measured by a student as 16.8cm. calculate, correct to two decimal places, the percentage error in the measurement

WASSCE/WAEC General Mathematics (2023) Questions and Answers 21 - 30

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21. Find the value of m in the diagram

22. A line L, passing through the point (6,-13) is parallel to the line which passes through (7,4) and (-3,9). Find the equation of the line L.

23. An empty cylindrical tank is 140cm in diameter. If 200litres of water is poured into the tank, calculate, correct to the nearest centimetre, the height of water in the tank [take pi = 22/7]

24. Mrs. Kebeh stands at a distance of 110m away from a building of vertical height 58m. If Kebeh is 2m tall, find the angle of elevation of the top of the building from her eye

25. Find the mean deviation of the set of numbers: 14, 15, 16, 17, 18, and 19

26. The interior angle of a regular polygon is 6 times its exterior angle. Find the number of sides of the polygon

27. The length of the diagonal of a square is 12cm. Calculate the area of the square

28. Consider the statements:

29. What is the name a triangle with vertices (1, -3), (6, 2) and (0, 4)?

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(a) Isosceles triangle

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(b) Equilateral triangle

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(c) Right triangle

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(d) Scalene triangle

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The correct answer is: (a) Isosceles triangle

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30. In the diagram, $\overline{NR}$is a diameter, < MNR = $x^o$ and < SRN = ${(5x + 20)}^o$. Find the value of 2x

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(a) ${20}^o$

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(b) ${35}^o$

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(c) ${42}^o$

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(d) ${90}^o$

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The correct answer is: (b) ${35}^o$

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WASSCE/WAEC General Mathematics (2023) Questions and Answers 31 - 40

32. A bag contain 4 white marble and 3 blue marbles. Another bag contains 5 red and 6 blue marbles. If a marble is picked at random from each bag, find the probability that they are of the same colour

33. The angle of a sector of a circle of radius 3.4cm is 115 degree. Find the area of the sector. [take pi = 22/7]

34. The diagonals of a rhombus are 16cm and 12cm. Find the length of the side.

35. The angle of elevation of the top of a vertical building from a point Z on the ground is 50 degree. If the height of the building is 124m, find the distance from Z to the foot of the building

36. A student measured the height of a pole as 5.98m which is less than the actual height. If the percentage error is 5%, find, correct to two decimal places, the actrual height of the pole.

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(a) 6.65 m

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(b) 7.67m

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(c) 6.29m

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(d) 7.18m

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The correct answer is: (c) 6.29m

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37. In the diagram, O is the centre of the circle QRS and < SQR = 28^o (28 degree). Find the < ORS

40. An equilateral triangle has side 2cm. Calculate the height of the triangle

WASSCE/WAEC General Mathematics (2023) Questions and Answers 41 - 50

41. A number is selected at random from 40 to 50 inclusive. Find the probability that the number is prime

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(a) $\frac {3}{11}$

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(b) $\frac {4}{11}$

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(c) $\frac {5}{11}$

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(d) $\frac {8}{11}$

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The correct answer is: (a) $\frac {3}{11}$

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The bar chart above represents the distribution of marks scored by students in an Economics examination. Use the bar chart to answer questions 42 to 44

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42. If the failed mark was 4, what is the probability that a student selected at random passed

43. What percentage of students scored at most 5 marks?

44. How many students scored at least 3 marks?

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(a) 18

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(b) 52

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(c) 44

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(d) 38

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The correct answer is: (c) 44

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45. If ${log}_{a}3 = m$ and ${log}_{a}5 = p$, find ${log}_{a}75$

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(a) $m + p^2$

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(b) 2m + p

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(c) m + 2p

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(d) $m^2 + p$

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The correct answer is: (c) m + 2p

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46. In the diagram above, M, N, R are points on the circle centre O. < ORN = ${48}^o$ and < RNM = ${124}^o$. Find < OMN.

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(a) ${76}^o$

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(b) ${64}^o$

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(c) ${58}^o$

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(d) ${48}^o$

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The correct answer is: (a) ${76}^o$

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47. Simplify: $3{\sqrt {12}} + 10{\sqrt {3}} - {\frac {6}{\sqrt {3}}}$

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(a) $14{\sqrt {3}}$

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(b) $18{\sqrt {3}}$

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(c) $10{\sqrt {3}}$

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(d) $7{\sqrt {3}}$

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The correct answer is: (a) $14{\sqrt {3}}$

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48. The truth set of $8 + 2x - {x}^2 = 0$ is [p, q]. Evaluate p + q

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(a) -6

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(b) -2

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(c) 2

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(d) 4

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The correct answer is: (c) 2

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49. Find the gradient of the line passing through the points $({\frac {1}{2}}, {-\frac {1}{3}})$ and $(3, {\frac {2}{3}})$

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(a) $\frac {7}{2}$

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(b) $\frac {5}{2}$

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(c) $\frac {2}{7}$

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(d) $\frac {2}{5}$

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The correct answer is: (d) $\frac {2}{5}$

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50. For what value of x is $\frac {x^2 + 2}{{10x}^2 - 13x -3}$ undefined?

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(a) ${\frac {7}{2}}, {\frac {1}{5}}$

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(b) ${\frac {7}{2}}, {\frac {1}{5}}$

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

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(d) ${-\frac {3}{2}}, {\frac {1}{5}}$

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

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Download WASSCE/WAEC General Mathematics pdF (2023) Paper 2 (essay questions and answer 1 - 13)

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