mathematics waec 2023 essay questions

Solved WAEC Mathematics Questions and Answers For 2023/2024 (Essay and Objectives)

The questions and answers for the Waec Mathematics 2023 exam have been released. The General Mathematics essay and objective paper for the West African Examination Council (WAEC) will now be written on Thursday, 1st June 2023.

WAEC Mathematics, WAEC Mathematics, WAEC Maths, WAEC Mathematics questions and answers, WAEC mathematics syllabus 2023, previous questions on mathematics, WAEC mathematics exhibition 2023, WAEC past questions pdf download.

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Here are the WAEC Mathematics questions and answers for 2023/2024. Are you a WAEC candidate? If you answered yes, this article will provide you with the WAEC Mathematics answers and the necessary strategies to excel on your WAEC exam.

The West African Senior School Certificate Examination Board (WASSCE) formulates and compiles the WAEC questions. Ensure that you observe the WAEC’s instructions

The WAEC Maths 2 (Essay) exam will begin at 9:30 am and last for 2 hours and thirty minutes, while the Waec Mathematics 1 (Objective) exam will begin at 3:00 pm and last for one hour and thirty minutes. In this post, you will find the WAEC Maths questions and answers 2023 for candidates who will be taking the examination based on questions from previous years.

The following questions and answers on WAEC Mathematics have been provided to assist candidates in comprehending the expected requirements for the WAEC Mathematics Examination.

Mathematics OBJ WAEC Answers

Scroll to the bottom to get the 2023 WAEC answers and refresh the page

The 2023 WAEC Mathematics Answers will be posted here during the examination WAEC Maths 2023 Answers Loading…

Note: The answers below are for 2022

1-10: ABBDBBBCAC

11-20: ABDDCCCBDD

21-30: ADCDBBCBCC

31-40: CCBCABBCCD

41-50: CDCBCADCBC

2023/2024 WAEC Mathematics Questions and Answers

Mathematics question and answer for the 2023 WAEC can be found at then of this post.

PAPER 2 [Essay]

Respond to any… inquiries. Write your answers in the supplied answer booklet.

1. (a) Solve: 7x + 4 < (4x + 3). (b) Salem, Sunday, and Shaka divided N 1,100 between them. For every N2.00 Salem receives, Sunday receives 50 kobo, and for every N4.00 Sunday receives, Shaka receives N2.00. Find Shaka’s share.

a) The angle of depression of a boat from the cliff’s midpoint is 35 degrees. Determine the height of the precipice if the boat is 120 metres from the base of the cliff.

(b) P and Q are x kilometres apart. Two motorists set out simultaneously from P to Q at 60 km/h and 80 km/h, respectively. The quicker driver arrived at Q thirty minutes before the other. Determine the worth of x.

3. (a) A child of height 1.2 m stands 6 m from the base of a vertical lamppost measuring 4.2 m in length. If the lantern is located at the top of the pole, depict this in a diagram.

(b) Determine the:

(i) the length of the boy’s shadow cast by the lamp; (ii) the angle of elevation of the lamp relative to the boy, rounded to the nearest degree.

4. (a) The current age ratio between a father and his son is 10:3. How many years from now, if the son is 15 years old, will the ratio of their ages be 2:1?

(b) The arithmetic mean of x, y, and z is 6, whereas it is 9 for x, y, z, t, u, v, and w. Determine the geometric mean of t, u, v, and w.

5.  On the same horizontal ground, point H is 20 metres distant from the base of a tower. From point H, the elevation angles of point (P) on the tower and the tower’s apex (T) are 30o and 50o, respectively. Calculate and correct three figures of significance:

(a) /PT/; (b) The distance between H and the summit of the tower; (c) The location of H if H’s angle of depression from the top of the tower is to be 40 degrees.

GENERAL MATHEMATICS /MATHEMATICS (CORE) 1

Today’s WAEC Obj answers still loading…

Solutions to WAEC Mathematics Questions

1. Express, correct to three significant figures, 0.003597.

2 . Evaluate:  (0.064)^-1/3

3 . Solve:  y+1/2 – 2y-1/3 = 4

4. Simplify, correct to three significant figures, (27.63)^2 – (12.37)^2

5. If  7 + y = 4 ( mod 8), find the least value of y, 10<=y<=30

6. If  T = (prime numbers) and

M = (odd numbers) are subsets of

U = (x: 0<x<=10, and x is an integer), find (T’ n M’).

A. (4, 6, 8, 10)

B. (1, 4, 6, 8, 10)

C. (1, 2, 4, 6, 8, 10)

D. (1, 2, 3, 5, 7, 8, 9)

7. Evaluate: log9 base 3 – log8 base 2 /log9 base 3

8. If 23 y = 1111 two , find the value of y.

9. If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P), find the value of P.

10. Evaluate: 2 (SQRT 28) – 3 (SQRT 50) +  (SQRT 50)

A. 4 (SQRT  7) – 21 (SQRT 2)

B. 4 (SQRT  7) – 11 (SQRT 2)

C. 4 (SQRT  7) – 9 (SQRT 2)

D. 4 (SQRT  7) + (SQRT 2)

11. If m : n = 2 : 1, evaluate 3m^2 – 2n^2 /m^2 + mn

12. H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y

A. H = p /4y^2

B. H = 2p / y^2

C. H = p / 2 y^2

D. H = p / y^2

13. Solve 4x^2 – 16x + 15

A. X = 1 (1/2) or X = -2 (1/2)

B. X = 1 (1/2) or X = 2 (1/2)

C. X = 1 (1/2) or X = -1 (1/2)

D. X = -1 (1/2) or X = -2 (1/2)

14. Evaluate 0.42 divided by 2.5 /0.5 x 2.05, leaving the answer in standard form .

A. 1.639 x 10^2

B. 1.639 x 10^1

C. 1.639 x 10^-1

D. 1.639 x 10^-2

15. Simplify: log6 – 3log3 + 2/3log27.

16. Bala sold an article for 6,900.00 naira and made a profit of 15 percent. Calculate his percentage profit if he had sold for 6600.00.

A. 5 percent

B. 10 percent

C. 12 percent

D. 13 percent

17. If 3p = 4q and 9p = 8q-12, find the value of pq.

18. If (0.25)^y = 32, find the value of y.

A. y = -5/2

B. y = -3/2

19. There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?

20. Simplify: x^2 – 5x – 14 / x^2 – 9x + 14

A. X – 7 /x + 7

B. X + 7 /x – 7

C. X – 2 /x + 4

D. X + 2 /x – 2

21. Which of these values would make 3p – 1 /p^2 – p undefined?

22. The total surface area of a solid cylinder is 165 cm 2 . If the base diameter is 7 cm, calculate its height. (Take pi = 22/7)

23 . If 2^a = SQRT(64) and b/a = 3, evaluate a^2 + b^2.

24. In triangle XYZ, line XZ = 32 cm, angle YXZ = 52 degrees and XZY = 90 degrees. Find, correct to the nearest centimeter, line XZ.

 25. If log 2 base x = 0.3, evaluate log 8 base x.

26. An arc subtends an angle of 72 degrees at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. (Take pi = 22/7)

27. Make b the subject of the relation

lb = 1/2(a+b)h

A. ah /2l – h

B. 2l – h/al

C. al/2l – h

D. al/2 – h

29. Eric sold his house through an agent who charged 8 percent commission on the selling price. If Eric received 117,760.00 dollars after the sale, what was the selling price of the house?

A. 130,000.00 dollars

B. 128,000.00 dollars

C. 125,000.000 dollars

D. 120,000.00 dollars

29. Find the angle which an arc of length 22 cm subtends at the centre of a circle of radius 15 cm. (take pi = 22/7)

A. 70 degrees

B. 84 degrees

C. 96 degrees

D. 156 degrees

30. A rectangular board has a length of 15 cm and width x cm. If its sides are doubled, find its new area.

A. 60x cm squared

B. 45x cm squared

C. 30x cm squared

D. 15x cm squared

31. In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, line OS = line OT and angle OST = 50 degrees. Calculate the value of angle OPQ.

A. 100 degrees

B. 120 degrees

C.140 degrees

D. 160 degrees

32. Factorize completely: (2x + 2y)(x-y) + (2x – 2y)(x + y)

A. 4(x – y)(x + y)

B. 4(x – y)

C. 2(x – y) (x + y)

D. 2(x – y)

33. The interior angles of a polygon are 3x, 2x, 4x, 3x and 6x. Find the size of the smallest angle of the polygon.

A. 80 degrees

B. 60 degrees

C. 40 degrees

D. 30 degrees

34. A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

35. Find the equation of a straight line passing through the points (1, -5) and having gradient of ¾.

A. 3x + 4y – 23 = 0

B. 3x + 4y + 23 = 0

C. 3x – 4y + 23 = 0

D. 3x – 4y – 23 = 0

36. The foot of a ladder is 6 m from the base of an electric pole. The top of the ladder rest against the pole at a point 8 m above the ground. How long is the ladder?

37. If tan x = 3/4, 0<x<90,

evaluate cos x/2sin x

38. From the top of a vertical cliff 20 m high , a boat at sea can be sighted 75 m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

A. 56 degrees

B. 75 degrees

C. 16 degrees

D. 15 degrees

39. In the diagram, O is the centre of the circle of radius 18 cm. If angle ZXY = 70 degrees, calculate the length of arc ZY. (Take pi = 22/7)

In the diagram, RT is tangent to the circle at R, angle PQR = 70 degrees, angle QRT = 52 degrees, angle QSR = y and angle PRQ = x. Use the diagram to answer questions 40 and 41

40. Find the value of y.

B. 60 degree

C. 52 degree

D. 18 degree

41. Calculate the value of x

B. 58 degrees

C. 55 degrees

D. 48 degrees

42. Calculate the variance of 2, 4, 7, 8, 9

43. The fourth term of an Arithmetic Progression (A.P.) is 37 and the first term is -20. Find the common difference.

In the diagram, PQ is parallel to RS, angle QFG = 105 degrees and angle FEG = 50 degrees. Use the diagram to answer questions 44 and 45.

44. Find the value of m

A. 130 degrees

B. 105 degrees

C. 75 degrees

D. 55 degrees

45. Find the values of n

A. 40 degrees

B. 55 degrees

D. 130 degrees

46. A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?

47. The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?

The following are scores obtained by some students in a test.

8 18 10 14 18 11 13 14 17 15 8 16 13

Use this information to answer questions 48 to 50

48. Find the mode of the distribution

49. Find the median score.

50. How many students scored above the mean score?

Are the WAEC objective questions difficult? Let’s quickly move to the Solutions of 2020/2021 WAEC Mathematics Questions

The two zeros before 3 are not counted since they are not between whole numbers

0.064^(-1/3) = 5/2

3 .  y+1/2 – 2y-1/3 = 4

Multiply through by 6

3y + 3 – 4y + 2 = 24

Collecting like terms

6. U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

T = (2, 3, 5, 7)

M = (1, 3, 5, 7, 5)

(T’ n M’) = the numbers in the union set U but not in T and M

(T’ n M’) = (4, 6, 8, 10)

7. Log9 base 3 – log 8 base 2 / log 9 base 3

Log3^2 base 3 – log2^3 base 2 / log 3^2

2log3 base 3 – 3log2 base 2 / 2log3 base 3

Log3 base 3 = 1

Log 2 base = 1

Reason : Log to its own base is 1

This implies:

2 -3 /2 = -1/2

8. Convert both sides to base ten

2xy^1 + 3Xy^0 = 1×2^3 + 1×2^2 + 1x 2^1 + 1×2^0

2y +3 = 8 + 4 + 2 + 2 + 1

2y + 3 = 15

Y = 12/2 = 6

9. 6, p, 14

First term a = 6, third term = 14

Number of terms of A.P = a + (n-1)d

T3 =14 = a + 2d

6 + 2d = 14

Common difference d = 14

P = second term

T2 = a + d = 6 + 4 = 10

10. 4 SQRT(7) – 15 SQRT(2) + 6 SQRT(2)

4 SRT(7) – 9 SRT(2)

11 . m/n = 2/1

3(2n)^2 – 2n^2 / 2n^2 +2n^2

12n^2 – 2n^2 / 4n^2 + 2n^2 = 10n^2/6n^2

12. H = kp / y^2 where k = constant, H = 1, p = 8, y = 2

k = Hy^2 /p =  4×1/8 = ½

13. Factorizing:

(4x^2 -6x)(-10x +15)

2x(2x – 3)-5(2x – 3)

2x-5 = 0 or 2x-3 = 0

X = 5/2 or x = 3/2

16. 15 percent profit = 115 = 6,900 naira

Let the percent  Bala sold the article at 6600 naira = x

115 = 6,900

Cross multiplying

6900x = 759000

X = 110 percent

The percentage profit if he had sold it at 6600 naira = 110 – 100

= 10 percent

17. 3p = 4q

9p = 8q – 12

8q – 12 -(36q/3)

24q – 36 – 36q

p = -4, pq = -3x-4 = 12

18. (0.25)^y = 32

(1/4)^y = 32

20. (x-7)(x+2)/ (x+7)(x+2) = (x-7) / (x+7)

21. 3p – 1/p^2 -p

It will be undefined when the denominator p^2 – p = 0

therefore, p = 1 would make it zero

T.S.A = 165 cm^2

T.S.A = 2pirh + 2pir^2

165 -2x(22/7)x3.5^2 = 2x(22/7) x3.5h

165 – 77 = 22h,

Are you enjoying the Solutions to WAEC Mathematics Questions ? Let’s continue .

23. 2^a = SQRT(64)

but b/a = 3

therefore, b = 3a = 3×3 = 9

a^2 + b^2 = 3^2 + 9^2 = 90

24. Angle XYZ = 180 – (90+52)

180-142 = 38 degrees

From sin rule,

XZ/sin38 = 32/sin52

26. tita = 72

arc length = 2pir(tita/360)

arc length = 2x( 22/7 )x3.5x(72/360) = 4.4 cm

27. 2lb = (a+b)h

2lb = ah + bh

2lb- bh = ah

b(2l-h) = ah

b = ah/2l-h

28. agent commission = 8 percent

percentage received by eric = 100 – 8 = 92

let the selling price be x

92x/100 = 117760

x = 11776000/92

x = 128000.00 dollars

29. arc length = 2pir(tita/360)

22 = 2×22/7x15xtita/360

tita = 55440/660

tita = 84 degrees

if its sides are doubled,

area = 30* 2x = 60x cm^2

31. A 32. A 33. B 34. D 35. D 36. C 37. D 38. D 39. C 40. C 41. B 4 2. C 43. C 44. D 45. C 4 6 A 47. A 48. C 49. C 50. A

These questions and solutions are WAEC practice questions to get you prepared for your 2023/2024 WAEC Mathematics Questions .

WAEC Maths Essay and Objective 2023 (EXPO)

The above questions are not exactly 2023 WAEC Mathematics questions and answers but likely WAEC Maths repeated questions and answers.

These questions are for practice. The 2023 WAEC Mathematics expo will be posted on this page 30 minutes before the WAEC Mathematicsexamination starts. Keep checking and refreshing this page for the answers.

This post will be updated as soon as 2023/2024 WAEC Mathematics Questions are out.

What you will see won’t be far from the ones above. I had taken quality time to bring down the solution to a layman’s understanding .

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Home » West Africa Examination Council (WAEC) » 2023 Real WAEC Mathematics Questions and Answers (Essay and Objectives)

2023 Real WAEC Mathematics Questions and Answers (Essay and Objectives)

Searching for the latest waec mathematics Questions and Answers 2023, WAEC Maths answers, WAEC Mathematics questions and answers, WAEC Mathematics past questions on mathematics? We’ve got you covered.

To some people, Mathematics is the easiest subject, while others find it difficult to understand it. Today, I’ll be sharing with you, WAEC past questions on mathematics that will likely come out in today’s Waec examination.

For candidates who are not aware, note that WAEC questions are primarily set and compiled by the West African Senior School Certificate Examination Board (WASSCE).

To avoid issues like missing scripts/papers, ensure you carefully follow the instructions provided by WAEC.

Mathematics OBJ Answers 2023 Questions.

General mathematics/mathematics (core) 1, waec mathematics questions and answers 2023., solutions to waec mathematics questions., waec maths essay and objective 2023., waec mathematics questions and answers 2023., sample waec mathematics theory 2023 questions and answers, waec mathematics paper 2 – theory 2023..

Symbols that will appear in today’s paper and their meanings:

^ means raise to power.

SQRT means square root

1. Simplify the expression: 3x² – 4x + 2x² – 5x + 1.

I’ll be sharing with you, the best solutions to WAEC Mathematics Questions for 2023, and how you can implement that too in your examination today.

1. Express, correct to three significant figures, 0.003597.

A. 0.359 B. 0.004 C. 0.00360 D. 0.00359

2. Evaluate:  (0.064)^-1/3

A. 5/2 B. 2/5 C. -2/5 D. -5/2

3. Solve:  y+1/2 – 2y-1/3 = 4

A. y = 19 B. y = -19 C. y = -29 D. y = 29

4. Simplify, and correct three significant figures, (27.63)^2 – (12.37)^2

A. 614 B. 612 C. 611 D. 610

5. If  7 + y = 4 (mod 8), find the least value of y, 10<=y<=30

A. 11 B. 13 C. 19 D. 21

6. If  T = (prime numbers) and M = (odd numbers) are subsets of U = (x: 0<x<=10, and x is an integer), find (T’ n M’).

A. (4, 6, 8, 10) B. (1, 4, 6, 8, 10) C. (1, 2, 4, 6, 8, 10) D. (1, 2, 3, 5, 7, 8, 9)

7. Evaluate: log9 base 3 – log8 base 2 /log9 base 3

A. -1/3 B. 1/2 C. 1/3 D. -1/2

8. If 23y = 1111two, find the value of y.

A. 4 B. 5 C. 6 D. 7

9. If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P), find the value of P.

A. 9 B. 10 C. 6 D. 8

10. Evaluate: 2 (SQRT 28) – 3 (SQRT 50) +  (SQRT 50)

A. 4 (SQRT  7) – 21 (SQRT 2) B. 4 (SQRT  7) – 11 (SQRT 2) C. 4 (SQRT  7) – 9 (SQRT 2) D. 4 (SQRT  7) + (SQRT 2)

11. If m : n = 2 : 1, evaluate 3m^2 – 2n^2 /m^2 + mn

A. 4/3 B. 5/3 C. 3/4 D. 3/5

12. H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y

A. H = p /4y^2 B. H = 2p / y^2 C. H = p / 2 y^2 D. H = p / y^2

13. Solve 4x^2 – 16x + 15

A. X = 1 (1/2) or X = -2 (1/2) B. X = 1 (1/2) or X = 2 (1/2) C. X = 1 (1/2) or X = -1 (1/2) D. X = -1 (1/2) or X = -2 (1/2)

14. Evaluate 0.42 divided by 2.5 /0.5 x 2.05, leaving the answer in standard form.

A. 1.639 x 10^2 B. 1.639 x 10^1 C. 1.639 x 10^-1 D. 1.639 x 10^-2

15. Simplify: log6 – 3log3 + 2/3log27.

A. 3log 2 B. Log2 C. Log3 D. 2log3

16. Bala sold an article for 6,900.00 Naira and made a profit of 15 per cent. Calculate his percentage profit if he had sold for 6600.00.

A. 5 per cent. B. 10 per cent C. 12 per cent. D. 13 per cent.

17. If 3p = 4q and 9p = 8q-12, find the value of pq.

A. 12 B. 7 C. -7 D. -12

18. If (0.25)^y = 32, find the value of y.

A. y = -5/2 B. y = -3/2 C. y = 3/2 D. y = 5/2

19. There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?

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

20. Simplify: x^2 – 5x – 14 / x^2 – 9x + 14

A. X – 7 /x + 7 B. X + 7 /x – 7 C. X – 2 /x + 4 D. X + 2 /x – 2

21. Which of these values would make 3p – 1 /p^2 – p undefined?

A. 1 B. 1/3 C. -1/3 D. -1

22. The total surface area of a solid cylinder is 165 cm2. If the base diameter is 7 cm, calculate its height. (Take pi = 22/7)

A. 7.5 cm B. 4.5 cm C. 4.0 cm D. 2.0 cm

23. If 2^a = SQRT(64) and b/a = 3, evaluate a^2 + b^2.

A. 250 B. 160 C. 90 D. 48

24. In triangle XYZ, line XZ = 32 cm, angle YXZ = 52 degrees and XZY = 90 degrees. Find, correct to the nearest centimeter, line XZ.

A. 31 cm B. 25 cm C. 20 cm D. 13 cm

25. If log 2 base x = 0.3, evaluate log 8 base x.

A. 2.4 B. 1.2 C. 0.9 D. 0.6

26. An arc subtends an angle of 72 degrees at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. (Take pi = 22/7)

A. 6.6 cm B. 8.8 cm C. 4.4 cm D. 2.2 cm

27. Make b the subject of the relation lb = 1/2(a+b)h A. ah /2l – h B. 2l – h/al C. al/2l – h D. al/2 – h

29. Eric sold his house through an agent who charged 8 percent commission on the selling price. If Eric received 117,760.00 dollars after the sale, what was the selling price of the house?

A. 130,000.00 dollars B. 128,000.00 dollars C. 125,000.000 dollars D. 120,000.00 dollars

29. Find the angle which an arc of length 22 cm subtends at the centre of a circle of radius 15 cm. (take pi = 22/7)

A. 70 degrees B. 84 degrees C. 96 degrees D. 156 degrees

30. A rectangular board has a length of 15 cm and width x cm. If its sides are doubled, find its new area.

A. 60x cm squared B. 45x cm squared C. 30x cm squared D. 15x cm squared

31. In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, line OS = line OT and angle OST = 50 degrees. Calculate the value of angle OPQ.

A. 100 degrees B. 120 degrees C.140 degrees D. 160 degrees

32. Factorize completely: (2x + 2y)(x-y) + (2x – 2y)(x + y)

A. 4(x – y)(x + y) B. 4(x – y) C. 2(x – y) (x + y) D. 2(x – y)

33. The interior angles of a polygon are 3x, 2x, 4x, 3x and 6x. Find the size of the smallest angle of the polygon.

A. 80 degrees B. 60 degrees C. 40 degrees D. 30 degrees

34. A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?

A. 2/3 B. 3/5 C. 7/20 D. 12/25

35. Find the equation of a straight line passing through the points (1, -5) and having a gradient of ¾.

A. 3x + 4y – 23 = 0 B. 3x + 4y + 23 = 0 C. 3x – 4y + 23 = 0 D. 3x – 4y – 23 = 0

36. The foot of a ladder is 6 m from the base of an electric pole. The top of the ladder rests against the pole at a point 8 m above the ground. How long is the ladder?

A. 14 m B. 12 m C. 10 m D. 7 m

37. If tan x = 3/4, 0<x<90, evaluate cos x/2sin x

A. 8/3 B. 3/2 C. 4/3 D. 2/3

38. From the top of a vertical cliff 20 m high, a boat at sea can be sighted 75 m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

A. 56 degrees B. 75 degrees C. 16 degrees D. 15 degrees

39. In the diagram, O is the centre of the circle of radius 18 cm. If angle ZXY = 70 degrees, calculate the length of arc ZY. (Take pi = 22/7)

A. 11 cm B. 22 cm C. 44 cm D. 80 cm

In the diagram, RT is tangent to the circle at R, angle PQR = 70 degrees, angle QRT = 52 degrees, angle QSR = y and angle PRQ = x. Use the diagram to answer questions 40 and 41

40. Find the value of y.

A. 70 degrees B. 60 degree C. 52 degree D. 18 degree

41. Calculate the value of x

A. 70 degrees B. 58 degrees C. 55 degrees D. 48 degrees

42. Calculate the variance of 2, 4, 7, 8, 9

A. 7.2 B. 6.8 C. 3.5 D. 2.6

43. The fourth term of an Arithmetic Progression (A.P.) is 37 and the first term is -20. Find the common difference.

A. 63 B. 57 C. 19 D. 17

In the diagram, PQ is parallel to RS, angle QFG = 105 degrees and angle FEG = 50 degrees. Use the diagram to answer questions 44 and 45.

44. Find the value of m

A. 130 degrees B. 105 degrees C. 75 degrees D. 55 degrees

45. Find the values of n

A. 40 degrees B. 55 degrees C. 75 degrees D. 130 degrees

46. A box contains 5 r e d, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?

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

47. The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?

A. 90 B. 80 C. 70 D. 40

The following are scores obtained by some students in a test.

8 18 10 14 18 11 13 14 17 15 8 16 13

Use this information to answer questions 48 to 50

48. Find the mode of the distribution

A. 18 B. 14 C. 13 D. 8

49. Find the median score.

A. 14.5 B. 14.0 C. 13.5 D. 13.0

50. How many students scored above the mean score?

A. 10 B. 9 C. 8 D. 7

Are the WAEC objective questions difficult? Let’s quickly move to the Solutions to Last year’s WAEC Mathematics Questions.

The two zeros before 3 are not counted since they are not between whole numbers

0.064^(-1/3) = 5/2

3.  y+1/2 – 2y-1/3 = 4

Multiply through by 6

3y + 3 – 4y + 2 = 24

Collecting like terms

6. U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

T = (2, 3, 5, 7)

M = (1, 3, 5, 7, 5)

(T’ n M’) = the numbers in the union set U but not in T and M

(T’ n M’) = (4, 6, 8, 10)

7. Log9 base 3 – log 8 base 2 / log 9 base 3

Log3^2 base 3 – log2^3 base 2 / log 3^2

2log3 base 3 – 3log2 base 2 / 2log3 base 3

Log3 base 3 = 1

Log 2 base = 1

Reason: Log to its own base is 1

This implies:

2 -3 /2 = -1/2

8. Convert both sides to base ten

2xy^1 + 3Xy^0 = 1×2^3 + 1×2^2 + 1x 2^1 + 1×2^0

2y +3 = 8 + 4 + 2 + 2 + 1

2y + 3 = 15

Y = 12/2 = 6

9. 6, p, 14

First term a = 6, third term = 14

Number of terms of A.P = a + (n-1)d

T3 =14 = a + 2d

6 + 2d = 14

Common difference d = 14

P = second term

T2 = a + d = 6 + 4 = 10

10. 4 SQRT(7) – 15 SQRT(2) + 6 SQRT(2)

4 SRT(7) – 9 SRT(2)

11. m/n = 2/1

3(2n)^2 – 2n^2 / 2n^2 +2n^2

12n^2 – 2n^2 / 4n^2 + 2n^2 = 10n^2/6n^2

12. H = kp / y^2 where k = constant, H = 1, p = 8, y = 2

k = Hy^2 /p =  4×1/8 = ½

13. Factorizing:

(4x^2 -6x)(-10x +15)

2x(2x – 3)-5(2x – 3)

2x-5 = 0 or 2x-3 = 0

X = 5/2 or x = 3/2

16. 15 percent profit = 115 = 6,900 naira

Let the percent  Bala sold the article at 6600 naira = x

115 = 6,900

Cross multiplying

6900x = 759000

X = 110 percent

The percentage profit if he had sold it at 6600 naira = 110 – 100

= 10 percent

17. 3p = 4q

9p = 8q – 12

8q – 12 -(36q/3)

24q – 36 – 36q

p = -4, pq = -3x-4 = 12

18. (0.25)^y = 32

(1/4)^y = 32

20. (x-7)(x+2)/ (x+7)(x+2) = (x-7) / (x+7)

21. 3p – 1/p^2 -p

It will be undefined when the denominator p^2 – p = 0

therefore, p = 1 would make it zero

T.S.A = 165 cm^2

T.S.A = 2pirh + 2pir^2

165 -2x(22/7)x3.5^2 = 2x(22/7) x3.5h

165 – 77 = 22h,

Are you enjoying the Solutions to WAEC Mathematics Questions? Let’s continue.

23. 2^a = SQRT(64)

but b/a = 3

therefore, b = 3a = 3×3 = 9

a^2 + b^2 = 3^2 + 9^2 = 90

24. Angle XYZ = 180 – (90+52)

180-142 = 38 degrees

From sin rule,

XZ/sin38 = 32/sin52

26. tita = 72

arc length = 2pir(tita/360)

arc length = 2x( 22/7 )x3.5x(72/360) = 4.4 cm

27. 2lb = (a+b)h

2lb = ah + bh

2lb- bh = ah

b(2l-h) = ah

b = ah/2l-h

28. agent commission = 8 percent

percentage received by eric = 100 – 8 = 92

let the selling price be x

92x/100 = 117760

x = 11776000/92

x = 128000.00 dollars

29. arc length = 2pir(tita/360)

22 = 2×22/7x15xtita/360

tita = 55440/660

tita = 84 degrees

if its sides are doubled,

area = 30* 2x = 60x cm^2

31. A 32. A 33. B 34. D 35. D 36. C 37.D 38. D 39. C 40. C 41. B42. C 43. C 44. D 45. C46 A 47.A 48. C 49. C 50. A

These questions and solutions are WAEC practice questions to get you prepared for your 2023/2024 WAEC Mathematics Questions.

Take note that this is not WAEC mathematics expo, rather, it’s the WAEC Mathematics Past questions and answers, and these ones are likely to be repeated questions and answers.

I’ll recommend that you read your books and ensure you study smart. Do not send money to anyone promising to give you the Waec Mathematics expo, questions and answers, they’re fake and their promises usually fail.

What you will see won’t be far from the ones above. I had taken quality time to bring down the solution to a layman’s understanding.

These are the past Waec questions and answers on Mathematics that I’ll recommend that you read through.

a) 5x² – 9x + 1

b) 5x² – 11x + 1

c) 5x² – 9x – 1

d) 5x² – 11x – 1

2. Solve for x: 3(x + 4) – 2(x – 2) = 14.

3. If 5p + 4 = 34, what is the value of p?

4. The sum of the interior angles of a triangle is:

a) 90 degrees

b) 180 degrees

c) 270 degrees

d) 360 degrees

5. Simplify: √(16/25).

6. What is the slope of the line passing through the points (2, 5) and (4, 9)?

7. Solve for x: 2x – 3(x + 1) = 4 – (x – 1).

8. What is the value of log₂ 16?

9. If a car traveled 240 kilometers in 3 hours, what is its average speed in kilometers per hour?

d) 120 km/h

10. Solve for x: 2(x + 3) – 3(x – 2) = 5x + 4.

11. If 3x + 2 = 14, what is the value of x?

12. Solve for x: 2(3x + 5) = 4(2x + 3).

13. What is the value of sin 60°?

14. Simplify the expression: 4(2x – 3) + 2(5x + 2).

15. If a square has a perimeter of 36 cm, what is the length of one of its sides?

16. Solve for x: 5x – 3 = 2x + 9.

17. Find the value of 2⁴ × 3³ ÷ 2².

18. The equation of a straight line is given as y = 2x + 3. What is the slope of this line?

19. A bag contains 5 red balls, 4 blue balls, and 3 green balls. What is the probability of picking a blue ball from the bag?

20. Solve for x: 2x² + 5x – 3 = 0.

a) x = -3/2 or x = 1/2

b) x = -3/2 or x = 1/3

c) x = -3 or x = 1/2

d) x = -3 or x = 1/3

If 2x + 3 = 7, what is the value of x?

21. Solve for x: 3(x – 2) + 2 = 4(x + 1).

22. What is the value of cos 45°?

23. Simplify the expression: 2(x – 3) + 3(2x + 5).

24. If the area of a rectangle is 24 square units and its length is 6 units, what is its width?

25. Solve for x: 4x + 7 = 3x – 5.

26. Find the value of 5! (5 factorial).

27. The equation of a straight line is given as y = -3x + 2. What is the y-intercept of this line?

28. In a deck of cards, what is the probability of drawing a spade?

29. Solve for x: 3x² – 5x + 2 = 0.

a) x = 1/3 or x = 2

b) x = 1/3 or x = 1/2

c) x = 1 or x = 2

d) x = 1 or x = 1/2

1. Calculate the area of a rectangle with a length of 6 cm and a width of 4 cm.

2. If a car travels at a speed of 60 km/h for 3 hours, how far does it travel?

3. Solve the equation: 2x + 5 = 17.

4. Calculate the circumference of a circle with a diameter of 10 cm. Use π (pi) as 3.14.

5. A store is offering a 25% discount on an item that costs $80. How much will the item cost after the discount?

6. Solve the equation: 3(x – 2) + 4 = 10.

7. If the total cost of 5 pens and 3 notebooks is $18, and each pen costs $2 and each notebook costs $4, calculate the cost of one pen.

8. Calculate the volume of a cube with an edge length of 5 cm.

9. A bag contains 12 red marbles and 8 blue marbles. What is the probability of randomly selecting a red marble from the bag?

10. Calculate the simple interest earned on a $1000 investment with an interest rate of 5% per year over a period of 2 years.

1. (a) Solve: 7x + 4 < (4x + 3). (b) Salem, Sunday, and Shaka all shared the total sum of One thousand, one hundred Naira (N1,100.00). For every N2.00 that Salem gets, Sunday gets fifty kobo and for every N 4.00 Sunday gets, Shaka gets N 2.00. Find Shaka’s share.

2. (a) The angle of depression of a boat from the mid-point of a vertical cliff is 35°. If the boat is 120 m from the foot of the cliff, calculate the height of the cliff.

(b) Towns P and Q are x km apart. Two motorists set out at the same time from P to Q at steady speeds of 60 km/h and 80 km/h. The faster motorist got to Q 30 minutes earlier than the other. Find the value of x.

3. (a) A boy 1.2 m tall, stands 6 m away from the foot of a vertical lamp pole 4.2 m long. If the lamp is at the tip of the pole, represent this information in a diagram.

(b) Calculate the:

(i) length of the shadow of the boy cast by the lamp; (ii) angle of elevation of the lamp from the boy, correct to the nearest degree.

4. (a) The present ages of a father and his son are in the ratio 10 : 3. If the son is 15 years old now, in how many years will the ratio of their ages be 2 : 1? b) The arithmetic mean of x, y and z is 6 while that of x, y, z, t, u, v and w is 9. Calculate the arithmetic mean of t, u, v, and w.

5. point H is 20m away from the foot of a tower on the same horizontal ground. From point H, the angle of elevation of point (P) on the tower and the top (T) of the tower are 30o and 50o respectively. Calculate, and correct 3 significant figures: (a) /PT/; (b) The distance between H and the top of the tower; (c) The position of H if the angle of depression of H from the top of the tower is to be 40°.

DISCLAIMER ! I’ve said this, and I’ll repeat it here again, these are not the real WAEC Mathematics questions for 2023. However, the above question has been repeated over and over.

We’ve discovered that over the years, candidates who read past questions and answers have better understanding, and can easily grasp the nature of their examinations. I’ll highly recommend that you take note of every question provided on this page.

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WAEC GCE Mathematics Question and Answers 2023: Objective “OBJ” And Essay

The West African Examination Council (WAEC) is set to administer the General Mathematics examination for external candidates of the GCE (General Certificate Examination) in 2023. This article aims to provide candidates with a comprehensive guide to the WAEC GCE Mathematics questions and answers for both the objective and essay sections. It is important to note that this article is not an exam expo or a means to obtain live question papers before the exam. Instead, it serves as a revision guide using likely exam questions from past WAEC Maths papers.

Exam Format and Schedule

The WAEC GCE Mathematics examination will consist of two papers: Paper 1, which is the objective section, and Paper 2, which is the essay section. Here is the schedule for the 2023 WAEC GCE Mathematics exam:

• Paper 2 (Essay): This paper will start at 9:30 am and last for 2 hours 30 minutes.
• Paper 1 (Objective): This paper will commence at 2:00 pm and last for 1 hour 30 minutes.

It is crucial for candidates to be familiar with the exam format and schedule to manage their time effectively during the examination.

Note: This article is not a means to obtain live question papers or engage in exam malpractice. All information provided is based on past questions and serves as a revision guide.

Sample Objective “OBJ” Questions

In the objective “OBJ” section of the WAEC GCE Mathematics exam, candidates will be required to shade their answers in the provided answer booklet. Here are some sample objective questions that candidates may encounter:

• C. -2cos^2θ
• D. -2sin^2θ

Candidates should thoroughly practice objective questions like these to improve their speed and accuracy in answering them.

Sample Essay Questions

The essay section of the WAEC GCE Mathematics exam requires candidates to write their answers in the provided answer booklet. Here are some sample essay questions that candidates may encounter:

• (a) Solution:
• (b) Solution:

Candidates should practice solving essay questions like these to develop their problem-solving skills and enhance their understanding of mathematical concepts.

Tips for Success in the WAEC GCE Maths Exam

To excel in the WAEC GCE Maths exam, candidates should consider the following tips:

• Familiarize yourself with the exam format and schedule to effectively manage your time during the examination.
• Practice solving a wide range of objective and essay questions from past papers to improve your problem-solving skills and speed.
• Review and revise key mathematical concepts, formulas, and techniques.
• Seek clarification on any topics or concepts you find challenging.
• Develop a study schedule and allocate sufficient time for each topic.
• Work on improving your speed and accuracy in solving mathematical problems.
• Take advantage of online resources, tutorials, and study materials to supplement your preparation.
• Practice mental calculations and develop shortcuts for solving problems efficiently.
• Review your answers carefully before submitting the answer booklet.
• Stay calm and confident during the exam, and trust in your preparation.

Remember, the WAEC GCE Mathematics exam is an opportunity to demonstrate your understanding and application of mathematical concepts. With diligent preparation and consistent practice, you can achieve success in the exam.

Best of luck in your preparation and the upcoming WAEC GCE Maths exam!

Do not fall victim to scammers promising access to exam papers. Stay focused, study diligently, and believe in your abilities.

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WAEC Mathematics 2023 Essay/Objective Questions and Answers

Free WAEC Mathematics Questions and Answers for 2023. Are you preparing for the WAEC Mathematics Exam and feeling overwhelmed? Don’t worry, you’re not alone. Thousands of students are in the same boat. In this blog post, we’ll be discussing the most common WAEC Mathematics questions, as well as some tips and tricks to help you ace the exam. Let’s get started with WAEC mathematics expo 2023!

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In conclusion, the WAEC Mathematics Questions and Answers 2023 is a challenging one. However, if you’re equipped with the knowledge of the most common questions, as well as an understanding of tips and tricks for acing the exam, there’s no reason why you can’t do well. So don’t be afraid to put in the hard work and effort and you’ll be sure to get the result that you desire. Good luck!

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WAEC Mathematics 2023 Essay/Objective Questions and Answers

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Preparing for the WAEC Mathematics Exam can be a daunting task, but you're not alone in feeling overwhelmed. Many students share the same concerns. In this article, we will provide valuable insights into the most frequently asked WAEC Mathematics questions and offer tips and tricks to help you excel in the exam. Please note that our comprehensive WAEC Mathematics Questions and Answers package is available for a nominal fee.

Note: Our WAEC Mathematics Questions and Answers is not for free. 

The WAEC Mathematics Exam is known for testing various mathematical concepts, and it is essential to familiarize yourself with the common question types. By understanding these question patterns, you can develop a strategic approach to tackle them effectively during the exam.

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One prominent area of focus is algebraic manipulation, where you may encounter questions involving simplification, factorization, or expansion of algebraic expressions. By practicing these concepts and mastering the underlying rules, you can confidently solve algebraic problems.

Another key topic is geometry, which often includes questions related to angles, shapes, and constructions. It is crucial to grasp the properties of different geometric figures and be familiar with theorems such as Pythagoras' theorem and the properties of similar triangles. By applying these principles, you can navigate through geometry-based questions with ease.

The exam may also feature questions related to trigonometry, where understanding trigonometric ratios, identities, and their applications is vital. By practicing trigonometric concepts and their application in solving problems involving angles and sides of triangles, you can improve your chances of scoring well in this area.

Calculus, although not extensively covered in the WAEC Mathematics Exam, is still an essential component. Familiarize yourself with basic differentiation and integration techniques, as well as their applications, to confidently approach questions related to rates of change and area under curves.

To excel in the WAEC Mathematics Exam, it is essential to practice regularly and solve as many past papers as possible. This will help you become familiar with the question formats and identify areas that require further attention. Additionally, it is advisable to seek guidance from experienced teachers or enroll in reputable tutoring programs to receive personalized assistance and clarify any doubts you may have.

WAEC Mathematics 2023

While this article provides valuable tips and tricks, we offer a comprehensive WAEC Mathematics Questions and Answers package designed to further enhance your preparation. Please note that this package is available for a nominal fee. It includes a wide range of practice questions, detailed explanations, and expertly crafted answers to help you build confidence and maximize your chances of success in the exam.

Investing in our WAEC Mathematics Questions and Answers package will provide you with valuable resources to refine your knowledge, strengthen your problem-solving skills, and ultimately excel in the WAEC Mathematics Exam.

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In conclusion, preparing for the WAEC Mathematics Exam can be a challenging task, but with the right approach and resources, you can overcome any obstacles. We have discussed the most common WAEC Mathematics question types, including algebraic manipulation, geometry, trigonometry, and calculus, highlighting the importance of understanding these topics and practicing them regularly.

While this article has provided valuable tips and tricks, we also offer a comprehensive WAEC Mathematics Questions and Answers package designed to further support your preparation. This package includes a wide range of practice questions, detailed explanations, and expertly crafted answers to help you build confidence and maximize your chances of success in the exam. Please note that this package is available for a nominal fee.

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Gce 2024 key topics for art student

quick question if 1=3 2=3 3=5 4=4 5=4 6=x find x 😁

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Anonymous I like the way you are encouraging people and that question please solve it🥰😀

Hi there Anonymous can talk about the question you posted.

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WAEC Mathematics 2023 Questions and Answers Free Expo Essay & Obj

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WAEC Mathematics Questions and answers 2023

WAEC Mathematics 2023 Question and Answers : This page contains the WAEC Mathematics Objective and Theory (Essay) Questions and Answers for the 2023 West African Senior School Certificate Examination (WASSCE).

The WAEC Mathematics will be written 2023 at 8:30am – 11:00pm, Mathematics – Theory & OBJ.

For more WAEC subjects questions and answers you can check this website, you’ll also find the available tutorial for WAEC, NECO and JAMB.

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Also find: waec mathematics question 2023, waec mathematics answers 2023 Waec mathematics question and answers, waec 2023 Mathematics questions and answers, questions and answers for WAEC 2023 Mathematics, waec maths questions and answers 2023.

Useful Mathematics Formulas

Perimeter of a square : s + s + s + s s:length of one side

Perimeter of a rectangle : l + w + l + w l: length w: width

Perimeter of a triangle : a + b + c a, b, and c: lengths of the 3 sides

Area of a square : s × s s: length of one side

Area of a rectangle : l × w l: length w: width

• Recommended:  WAEC Timetable 2023 is Out Download PDF | Check WASSCE Timetable Now

Area of a triangle : (b × h)/2 b: length of base h: length of height

Area of a trapezoid : (b 1  + b 2 ) × h/2 b 1  and b 2 : parallel sides or the bases h: length of height

Volume of a cube : s × s × s s: length of one side

Volume of a box : l × w × h l: length w: width h: height

Volume of a sphere : (4/3) × pi × r 3 pi: 3.14 r: radius of sphere

Volume of a triangular prism : area of triangle × Height = (1/2 base × height) × Height base: length of the base of the triangle height: height of the triangle Height: height of the triangular prism

Volume of a cylinder :pi × r 2  × Height pi: 3.14 r: radius of the circle of the base Height: height of the cylinder

NB: There will be two papers, Papers 1 and 2, both of which must be taken.

To get WAEC Maths questions and answers 2023 click  HERE to get

PAPER 1 : Will consist of fifty multiple-choice objective questions, drawn from the common areas of the syllabus, to be answered in 1½ hours for 50 marks.

PAPER 2 : Will consist of thirteen essay questions in two sections – Sections A and B ,  to be answered in 2½ hours for 100 marks. Candidates will be required to answer ten questions in all.

To get WAEC Mathematics 2023 questions and answers click  HERE to get

Section A  – Will consist of five compulsory questions, elementary in nature carrying a total of 40 marks. The questions will be drawn from the common areas of the syllabus.

Section B – Will consist of eight questions of greater length and difficulty.  The questions shall include a maximum of two which shall be drawn from parts of the syllabuses which may not be peculiar to candidates’ home countries. Candidates will be expected to answer five questions for 60marks.

WAEC Mathematics 2023 Questions and Answers Objective and Essay

13a) Area=2πr²+2πrh

=> Area=2πr(r+h)

=> r+h=Area/(2πr)

=> h=(Area/(2πr))-r

given that area=209cm² and d=7cm and π=22/7

=> r=7/2=3.5cm

=> h=(209)/(2×22/7×3.5) -3.5=(209/22)-3.5

=> h=6cm

For more, It is available now HERE to get

It is available now HERE to get

Thanks for reading, good luck.

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WAEC Mathematics Questions and Answers-2023 Update

• 8 minute read

• December 14, 2023
• One comment

If you are a candidate seeking WAEC Mathematics Questions and Answers for 2023, you have arrived at the right place as we will break them down for you. We will go further to show you how WAEC Mathematics questions are set and the best way to answer for full marks .

The West African Senior School Certificate Examination (WASSCE) is organized by WAEC in West African countries.

The exam boasts millions of candidates each year due to its importance and over 15 subjects are sat for in the exams including Mathematics.

That being said, let’s go through the questions and answers for the subject at hand.

Table of Contents

WAEC Mathematics Questions and Answers 2023/2024

Paper 1 – Objectives

1. Express, correct to three significant figures, 0.003597. A. 0.359 B. 0.004 C. 0.00360 D. 0.00359

2. Evaluate: (0.064)^-1/3 A. 5/2 B. 2/5 C. -2/5 D. -5/2

3. Solve: y+1/2 – 2y-1/3 = 4 A. y = 19 B. y = -19 C. y = -29 D. y = 29

4. Simplify, and correct to three significant figures, (27.63)^2 – (12.37)^2 A. 614 B. 612 C. 611 D. 610

5. If 7 + y = 4 (mod 8), find the least value of y, 10<=y<=30 A. 11 B. 13 C. 19 D. 21

6. If T = (prime numbers) and M = (odd numbers) are subsets of U = (x: 0<x<=10, and x is an integer), find (T’ n M’). A. (4, 6, 8, 10) B. (1, 4, 6, 8, 10) C. (1, 2, 4, 6, 8, 10) D. (1, 2, 3, 5, 7, 8, 9)

7. Evaluate: log9 base 3 – log8 base 2 /log9 base 3 A. -1/3 B. 1/2 C. 1/3 D. -1/2

8. If 23y = 1111two, find the value of y. A. 4 B. 5 C. 6 D. 7

9. If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P), find the value of P. A. 9 B. 10 C. 6 D. 8

10. Evaluate: 2 (SQRT 28) – 3 (SQRT 50) + (SQRT 50) A. 4 (SQRT 7) – 21 (SQRT 2) B. 4 (SQRT 7) – 11 (SQRT 2) C. 4 (SQRT 7) – 9 (SQRT 2) D. 4 (SQRT 7) + (SQRT 2)

11. If m : n = 2 : 1, evaluate 3m^2 – 2n^2 /m^2 + mn A. 4/3 B. 5/3 C. 3/4 D. 3/5

12. H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y A. H = p /4y^2 B. H = 2p / y^2 C. H = p / 2 y^2 D. H = p / y^2

13. Solve 4x^2 – 16x + 15 A. X = 1 (1/2) or X = -2 (1/2) B. X = 1 (1/2) or X = 2 (1/2) C. X = 1 (1/2) or X = -1 (1/2) D. X = -1 (1/2) or X = -2 (1/2)

14. Evaluate 0.42 divided by 2.5 /0.5 x 2.05, leaving the answer in standard form. A. 1.639 x 10^2 B. 1.639 x 10^1 C. 1.639 x 10^-1 D. 1.639 x 10^-2

15. Simplify: log6 – 3log3 + 2/3log27. A. 3log 2 B. Log2 C. Log3 D. 2log3

16. Bala sold an article for 6,900.00 naira and made a profit of 15 percent. Calculate his percentage profit if he had sold for 6600.00. A. 5 percent B. 10 percent C. 12 percent D. 13 percent

17. If 3p = 4q and 9p = 8q-12, find the value of pq. A. 12 B. 7 C. -7 D. -12

18. If (0.25)^y = 32, find the value of y. A. y = -5/2 B. y = -3/2 B. y = 3/2 D. y = 5/2

19. There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy? A. 3/4 B. 1/3 C. 2/3 D. 1/4

20. Simplify: x^2 – 5x – 14 / x^2 – 9x + 14 A. X – 7 /x + 7 B. X + 7 /x – 7 C. X – 2 /x + 4 D. X + 2 /x – 2

21. Which of these values would make 3p – 1 /p^2 – p undefined? A. 1 B. 1/3 C. -1/3 D. -1

22. The total surface area of a solid cylinder is 165 cm2. If the base diameter is 7 cm, calculate its height. (Take pi = 22/7) A. 7.5 cm B. 4.5 cm C. 4.0 cm D. 2.0 cm

23. If 2^a = SQRT(64) and b/a = 3, evaluate a^2 + b^2. A. 250 B. 160 C. 90 D. 48

24. In triangle XYZ, line XZ = 32 cm, angle YXZ = 52 degrees and XZY = 90 degrees. Find, correct to the nearest centimeter, line XZ. A. 31 cm B. 25 cm C. 20 cm D. 13 cm

25. If log 2 base x = 0.3, evaluate log 8 base x. A. 2.4 B. 1.2 C. 0.9 D. 0.6

26. An arc subtends an angle of 72 degrees at the center of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. (Take pi = 22/7) A. 6.6 cm B. 8.8 cm C. 4.4 cm D. 2.2 cm

27. Make b the subject of the relation lb = 1/2(a+b)h A. ah /2l – h B. 2l – h/al C. al/2l – h D. al/2 – h

29. Eric sold his house through an agent who charged 8 percent commission on the selling price. If Eric received 117,760.00 dollars after the sale, what was the selling price of the house? A. 130,000.00 dollars B. 128,000.00 dollars C. 125,000.000 dollars D. 120,000.00 dollars

29. Find the angle which an arc of length 22 cm subtends at the centre of a circle of radius 15 cm. (take pi = 22/7) A. 70 degrees B. 84 degrees C. 96 degrees D. 156 degrees

30. A rectangular board has a length of 15 cm and width x cm. If its sides are doubled, find its new area. A. 60x cm squared B. 45x cm squared C. 30x cm squared D. 15x cm squared

31. In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, line OS = line OT and angle OST = 50 degrees. Calculate the value of angle OPQ. A. 100 degrees B. 120 degrees C.140 degrees D. 160 degrees

32. Factorize completely: (2x + 2y)(x-y) + (2x – 2y)(x + y) A. 4(x – y)(x + y) B. 4(x – y) C. 2(x – y) (x + y) D. 2(x – y)

33. The interior angles of a polygon are 3x, 2x, 4x, 3x and 6x. Find the size of the smallest angle of the polygon. A. 80 degrees B. 60 degrees C. 40 degrees D. 30 degrees

34. A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colors? A. 2/3 B. 3/5 C. 7/20 D. 12/25

35. Find the equation of a straight line passing through the points (1, -5) and having a gradient of ¾. A. 3x + 4y – 23 = 0 B. 3x + 4y + 23 = 0 C. 3x – 4y + 23 = 0 D. 3x – 4y – 23 = 0

36. The foot of a ladder is 6 m from the base of an electric pole. The top of the ladder rests against the pole at a point 8 m above the ground. How long is the ladder? A. 14 m B. 12 m C. 10 m D. 7 m

37. If tan x = 3/4, 0<x<90, evaluate cos x/2sin x A. 8/3 B. 3/2 C. 4/3 D. 2/3

38. From the top of a vertical cliff 20 m high, a boat at sea can be sighted 75 m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff. A. 56 degrees B. 75 degrees C. 16 degrees D. 15 degrees

39. In the diagram, O is the centre of the circle of radius 18 cm. If angle ZXY = 70 degrees, calculate the length of arc ZY. (Take pi = 22/7) A. 11 cm B. 22 cm C. 44 cm D. 80 cm

In the diagram, RT is tangent to the circle at R, angle PQR = 70 degrees, angle QRT = 52 degrees, angle QSR = y and angle PRQ = x. Use the diagram to answer questions 40 and 41

40. Find the value of y. A. 70 degrees B. 60 degree C. 52 degree D. 18 degree

41. Calculate the value of x A. 70 degrees B. 58 degrees C. 55 degrees D. 48 degrees

42. Calculate the variance of 2, 4, 7, 8, 9 A. 7.2 B. 6.8 C. 3.5 D. 2.6

43. The fourth term of an Arithmetic Progression (A.P.) is 37 and the first term is -20. Find the common difference. A. 63 B. 57 C. 19 D. 17

In the diagram, PQ is parallel to RS, angle QFG = 105 degrees, and angle FEG = 50 degrees. Use the diagram to answer questions 44 and 45.

44. Find the value of m A. 130 degrees B. 105 degrees C. 75 degrees D. 55 degrees

45. Find the values of n A. 40 degrees B. 55 degrees C. 75 degrees D. 130 degrees

46. A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random? A. 1/6 B. 1/4 C. 1/3 D. 1/2

47. The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there? A. 90 B. 80 C. 70 D. 40

The following are scores obtained by some students in a test. 8 18 10 14 18 11 13 14 17 15 8 16 13 Use this information to answer questions 48 to 50

48. Find the mode of the distribution A. 18 B. 14 C. 13 D. 8

49. Find the median score. A. 14.5 B. 14.0 C. 13.5 D. 13.0

50. How many students scored above the mean score? A. 10 B. 9 C. 8 D. 7

Paper 2 – Theory

1. (a) Solve: 7x + 4 < (4x + 3). (b) Salem, Sunday, and Shaka shared a sum of N 1,100.00. For every N2.00 that Salem gets, Sunday gets fifty kobo and for every N 4.00 Sunday gets, Shaka gets N 2.00. Find Shaka’s share.

2. (a) The angle of depression of a boat from the mid-point of a vertical cliff is 35°. If the boat is 120 m from the foot of the cliff, calculate the height of the cliff. (b) Towns P and Q are x km apart. Two motorists set out at the same time from P to Q at steady speeds of 60 km/h and 80 km/h. The faster motorist got to Q 30 minutes earlier than the other. Find the value of x.

3. (a) A boy 1.2 m tall, stands 6 m away from the foot of a vertical lamp pole 4.2 m long. If the lamp is at the tip of the pole, represent this information in a diagram. (b) Calculate the: (i) length of the shadow of the boy cast by the lamp; (ii) angle of elevation of the lamp from the boy, correct to the nearest degree.

4. (a) The present ages of a father and his son are in the ratio 10 : 3. If the son is 15 years old now, in how many years will the ratio of their ages be 2 : 1? b) The arithmetic mean of x, y and z is 6 while that of x, y, z, t, u, v and w is 9. Calculate the arithmetic mean of t, u, v, and w.

5. point H is 20m away from the foot of a tower on the same horizontal ground. From point H, the angle of elevation of point (P) on the tower and the top (T) of the tower are 30o and 50o respectively. Calculate, and correct 3 significant figures: (a) /PT/; (b) The distance between H and the top of the tower; (c) The position of H if the angle of depression of H from the top of the tower is to be 40°.

DISCLAIMER! These are not real WAEC Mathematics questions but likely repeated questions over the years to help candidates understand the nature of their examinations. Ensure to take note of every question provided on this page.

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Mathematics 2023 WAEC Past Questions

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

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

• A. 22 and 14
• B. 20 and 16
• C. 21 and 15
• D. 23 and 13

In the diagram above, M, N, R are points on the circle centre O. ∠ORN = 48° and ∠RNM = 124°. Find ∠OMN.

• A. \(58^0\)
• B. \(64^0\)
• C. \(48^0\)
• D. \(76^0\)

Simplify \(3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}\)

• A. 10\(\sqrt{3}\)
• B. 18\(\sqrt{3}\)
• C. 14\(\sqrt{3}\)
• D. 7\(\sqrt{3}\)

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

• A. \(\frac{1}{5}, \frac{3}{2}\)
• B. \(\frac{-1}{5}, \frac{3}{2}\)
• C. \(\frac{1}{5}, \frac{-3}{2}\)
• D. \(\frac{-1}{5}, \frac{-3}{2}\)
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2022-2023 WAEC Mathematics Questions: Essay and Objectives with ANSWERS for easy go

2022-2023 WAEC Mathematics Questions: Essay and Objectives with ANSWERS for easy go – Do you understand mathematics? Is it possible for you to improve on your knowledge of mathematics? So, here are WAEC Mathematics questions and answers. Other references are for WAEC mathematics syllabus 2022/2023, past questions on mathematics and WAEC mathematics expo 2022. So, are you a WAEC candidate? If your answer is yes, this post will show you the WAEC Mathematics answers and the tricks you need to excel in your WAEC exams. Just read on.

Table of Contents

As a matter of fact, the above keywords are searched by WAEC candidates on google. Here I will show you WAEC Mathematics questions and answers. Just read on.

0.1 GENERAL MATHEMATICS/MATHEMATICS (CORE) 1 0.2 2021/2022 WAEC Mathematics Questions and Answers 0.3 Solutions to WAEC Mathematics Questions 1 WAEC Maths Essay and Objective 2021 (EXPO) GENERAL MATHEMATICS/MATHEMATICS (CORE) 1 OBJECTIVE TEST

2021/2022 WAEC Mathematics Questions and Answers Symbols used:

^ means raise to power / division

SQRT means square root

Scroll to the bottom to get the 2021 WAEC answers and refresh the page

Solutions to WAEC Mathematics Questions

1.Evaluate: (0.064)^-1/3

2.Solve: y+1/2 – 2y-1/3 = 4

3.Simplify, correct to three significant figures, (27.63)^2 – (12.37)^2

4.If 7 + y = 4 (mod 8), find the least value of y, 10<=y<=30

5.If T = (prime numbers) and M = (odd numbers) are subsets of U = (x: 0<x<=10, and x is an integer), find (T’ n M’).

A. (4, 6, 8, 10)

B. (1, 4, 6, 8, 10)

C. (1, 2, 4, 6, 8, 10)

D. (1, 2, 3, 5, 7, 8, 9)

6.Evaluate: log9 base 3 – log8 base 2 /log9 base 3

7.If 23y = 1111two, find the value of y.

See further maths here

8.How many students scored above the mean score?

• If 6, P and 14 are consecutive terms in an Arithmetic Progression (A.P), find the value of P.
• Evaluate: 2 (SQRT 28) – 3 (SQRT 50) + (SQRT 50)

A. 4 (SQRT 7) – 21 (SQRT 2)

B. 4 (SQRT 7) – 11 (SQRT 2)

C. 4 (SQRT 7) – 9 (SQRT 2)

D. 4 (SQRT 7) + (SQRT 2)

• If m : n = 2 : 1, evaluate 3m^2 – 2n^2 /m^2 + mn
• H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y

A. H = p /4y^2

B. H = 2p / y^2

C. H = p / 2 y^2

D. H = p / y^2

• Solve 4x^2 – 16x + 15

A. X = 1 (1/2) or X = -2 (1/2)

B. X = 1 (1/2) or X = 2 (1/2)

C. X = 1 (1/2) or X = -1 (1/2)

D. X = -1 (1/2) or X = -2 (1/2)

• Evaluate 0.42 divided by 2.5 /0.5 x 2.05, leaving the answer in standard form.

A. 1.639 x 10^2

B. 1.639 x 10^1

C. 1.639 x 10^-1

D. 1.639 x 10^-2

• Simplify: log6 – 3log3 + 2/3log27.
• Bala sold an article for 6,900.00 naira and made a profit of 15 percent. Calculate his percentage profit if he had sold for 6600.00.

A. 5 percent

B. 10 percent

C. 12 percent

D. 13 percent

• If 3p = 4q and 9p = 8q-12, find the value of pq.
• If (0.25)^y = 32, find the value of y.

A. y = -5/2

B. y = -3/2

• Simplify: x^2 – 5x – 14 / x^2 – 9x + 14

A. X – 7 /x + 7

B. X + 7 /x – 7

C. X – 2 /x + 4

D. X + 2 /x – 2

• Which of these values would make 3p – 1 /p^2 – p undefined?

past qts and Answers for mathematics click here

• The total surface area of a solid cylinder is 165 cm2. If the base diameter is 7 cm, calculate its height. (Take pi = 22/7)
• If 2^a = SQRT(64) and b/a = 3, evaluate a^2 + b^2.
• In triangle XYZ, line XZ = 32 cm, angle YXZ = 52 degrees and XZY = 90 degrees. Find, correct to the nearest centimeter, line XZ.
• If log 2 base x = 0.3, evaluate log 8 base x.
• An arc subtends an angle of 72 degrees at the centre of a circle. Find the length of the arc if the radius of the circle is 3.5 cm. (Take pi = 22/7)
• Make b the subject of the relation

lb = 1/2(a+b)h

A. ah /2l – h

B. 2l – h/al

C. al/2l – h

D. al/2 – h

28.Express, correct to three significant figures, 0.003597.

Past English qts and Ans click here

• Eric sold his house through an agent who charged 8 percent commission on the selling price. If Eric received 117,760.00 dollars after the sale, what was the selling price of the house?

A. 130,000.00 dollars

B. 128,000.00 dollars

C. 125,000.000 dollars

D. 120,000.00 dollars

• A rectangular board has a length of 15 cm and width x cm. If its sides are doubled, find its new area.

A. 60x cm squared

B. 45x cm squared

C. 30x cm squared

D. 15x cm squared

• In the diagram, POS and ROT are straight lines. OPQR is a parallelogram, line OS = line OT and angle OST = 50 degrees. Calculate the value of angle OPQ.

A. 100 degrees

B. 120 degrees

C.140 degrees

D. 160 degrees

• Factorize completely: (2x + 2y)(x-y) + (2x – 2y)(x + y)

A. 4(x – y)(x + y)

B. 4(x – y)

C. 2(x – y) (x + y)

D. 2(x – y)

• The interior angles of a polygon are 3x, 2x, 4x, 3x and 6x. Find the size of the smallest angle of the polygon.

A. 80 degrees

B. 60 degrees

C. 40 degrees

D. 30 degrees

• A box contains 2 white and 3 blue identical balls. If two balls are picked at random from the box, one after the other with replacement, what is the probability that they are of different colours?
• Find the equation of a straight line passing through the points (1, -5) and having gradient of ¾.

A. 3x + 4y – 23 = 0

B. 3x + 4y + 23 = 0

C. 3x – 4y + 23 = 0

D. 3x – 4y – 23 = 0

• The foot of a ladder is 6 m from the base of an electric pole. The top of the ladder rest against the pole at a point 8 m above the ground. How long is the ladder?
• If tan x = 3/4, 0<x<90,

evaluate cos x/2sin x

• From the top of a vertical cliff 20 m high, a boat at sea can be sighted 75 m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

A. 56 degrees

B. 75 degrees

C. 16 degrees

D. 15 degrees

• In the diagram, O is the centre of the circle of radius 18 cm. If angle ZXY = 70 degrees, calculate the length of arc ZY. (Take pi = 22/7)

In the diagram, RT is tangent to the circle at R, angle PQR = 70 degrees, angle QRT = 52 degrees, angle QSR = y and angle PRQ = x. Use the diagram to answer questions 40 and 41

• Find the value of y.

A. 70 degrees

B. 60 degree

C. 52 degree

D. 18 degree

• Calculate the value of x

B. 58 degrees

C. 55 degrees

D. 48 degrees

• Calculate the variance of 2, 4, 7, 8, 9
• The fourth term of an Arithmetic Progression (A.P.) is 37 and the first term is -20. Find the common difference.

See Financial Accounting qts and Ans here

In the diagram, PQ is parallel to RS, angle QFG = 105 degrees and angle FEG = 50 degrees. Use the diagram to answer questions 44 and 45.

• Find the value of m

A. 130 degrees

B. 105 degrees

C. 75 degrees

D. 55 degrees

• Find the values of n

A. 40 degrees

B. 55 degrees

D. 130 degrees

• A box contains 5 red, 6 green and 7 yellow pencils of the same size. What is the probability of picking a green pencil at random?
• The pie chart represents fruits on display in a grocery shop. If there are 60 oranges on display, how many apples are there?

The following are scores obtained by some students in a test.

8 18 10 14 18 11 13 14 17 15 8 16 13

Use this information to answer questions 48 to 50

• Find the mode of the distribution
• Find the median score.

50.There are 8 boys and 4 girls in a lift. What is the probability that the first person who steps out of the lift will be a boy?

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WAEC GCE Further Mathematics Questions and Answers 2023/2024 (Essay and Objectives)

WAEC GCE Further Mathematics Questions and Answers 2023.   I will be showing you WAEC GCE Further Maths objective and theory questions for free. You will also understand how WAEC GCE Further Mathematics questions are set and many more examination details.

The West African Examination Council is an examination body that sets questions annually from areas students should, after their studies in the senior secondary school, be able to write and pass without stress.

WAEC GCE Further Mathematics answers and questions Objectives and Essay will be provided here in detail and the authenticity of this WAEC GCE 2023 Further Mathematics solutions to questions have been tested and confirmed to be sure.

Table of Contents

WAEC Further Maths Essay and Objective Questions and Answers 2023 (EXPO)

These questions are strictly for practice. The 2023 WASSCE Further Maths expo will be posted on this page during the WAEC GCE Further Mathematics examination. Keep checking and reloading this page for the answers.

WAEC GCE Further Maths 2023 Questions and Answers Loading…

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Note: The answers below were for 2022

1-10: DABCCAADCA

11-20: CABABBDDAD

21-30: CACACDCDCC

31-40: CCBCAAABCC

41-50: DBDBCCABCA

The questions below are not exactly 2023 WAEC GCE Further Mathematics questions and answers but likely WAEC GCE Further Maths repeated questions and answers.

These questions are strictly for practice. The 2023 WAEC GCE Further Mathematics expo will be posted on this page on the day of the WAEC GCE Further Mathematics examination. Keep checking and reloading this page for the answers.

1. The gradient of a curve is 8x+2 and it passes through (1,3). Find the equation of the curve

A. y = 4x^2 + 2x + 3

B. y = -4x^2 + 2x -3

C. y = 4x^2 – 2x + 3

D. y = 4x^2 + 2x + 3

E. y= 4x^2 – 2x – 3

2.  Integrate 3x^2 + 4x – 8 with respect to x

A. x^3 + 2x^2 + 8x + k

B. 6x + 4 + k

C. x^3 – 2x^2 + 8x + k

D. x^3 + x^2 – 8x + k

E. x^3 + 2x^2 – 8x + k

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How To Pass WAEC GCE Further Mathematics Examination

The West African Examination Council (WAEC) is a body in charge of the Senior Secondary School Certificate Examination.

The Certificate offered here is a very important credential that awards or certifies the completion of your Secondary School Education.

It is a major document that qualifies you into any tertiary institution and is equally a major factor affecting admission today.

For this reason, every Student preparing for this examination WAEC GCE 2023 is preparing for something great.

Care should be taken when participating in this examination in other not to come out with bad grades. The following are the key answers to  WAEC GCE Further Maths 2023.

1. Be Determined to Pass

The WAEC 2023 Further Mathematics is mainly for those who have made up their mind to pass it with a good grade.

Any candidate who, at this point in time, has not made up his or her mind to make the excellent grade in the forthcoming WAEC GCE 2023 Further Math is actually not ready to pass.

Your mind should be ready for the task ahead, do not follow lazy friends who believe in a miracle on the day of the exams, stay positive and study your books.

2. Have Self-Confidence

Self-confidence is another factor that affects a candidate’s performance. Promise to do it all by yourself and everything will come out very simple for you.

It is a well-known fact that many students cancel the right answers just to copy the wrong ones because of a lack of self-confidence. Study and pray hard and you are the miracle for the day.

3. Start Studying Early

Studying is very important in your life as a student. WAEC GCE is a very simple Exam to deal with as long as studies are involved. Studying is one thing and studying on time is another thing entirely.

Do not wait for the WAEC GCE 2023 Further Math exams to be so close before you start studying for them. Late preparation will not really help you. When you start studying early there will be time for you to revise before the exams.

2. Make Use of the WAEC GCE 2023 Syllabus

Using the WAEC GCE 2023 syllabus is essential as it will guide you on major topics to cover. Studying without the Syllabus will make you focus on unnecessary topics that will not appear in the exams.

Also, most of the mathematics topics you have not done in class are there in the WAEC syllabus.

3. Pray to God Your Creator

Many think that they can do it all alone without God. The Almighty God is your creator, seek His assistance and He will never fail to help you. Your faith in God determines your success. God is there for you, call upon Him.

4. Adhere to exam instructions.

Any student who is not ready to adhere to the examination conducts is planning to fail. The majority of WAEC GCE Candidates who have their results held are those who were not ready to follow the Exam instructions.

5. Use Your Time Wisely.

It is a well-known fact that WAEC GCE Further Maths demands a lot of time, so manage the little time given to you wisely. Consider the number of questions you are to answer and the time given so that you can time wisely.

6. Be Punctual to the Examination Venue

Punctuality matters during the exams. Go to the exam venue early so that your brain can settle for the task. Rushing to the exam hall will make you unstable for the exam and can prone you to so many mistakes.

Take time to go through the exam question paper before you start answering. WAEC GCE Further Mathematics Questions and Answers

If you have any questions about the 2023 WAEC GCE Further Mathematics questions and answers, do well to let us know in the comment box.

Last Updated on October 2, 2023 by Admin

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2 thoughts on “WAEC GCE Further Mathematics Questions and Answers 2023/2024 (Essay and Objectives)”

Please can you teach me further maths online

Thanks For Your Helps

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