# WAEC Mathematics Questions And Answers 2023 | Theory And Objectives

Welcome to this site as I reveal to you the WAEC Mathematics Questions and Answers for 2023 | Theories and Objectives. This article is an Expo to those who would be sitting for the 2023 WAEC mathematics examination.

WAEC Mathematics Questions and Answers for 2023 is what majority of the WAEC candidates have been desirous to have access to so as to have that confidence about the exact nature of what they are going to see in the examination and make excellent result.

One of the WAEC subjects that give candidates a lot of trouble during examination is mathematics. I have heard how many students have been worried about it. Some have been seriously searching for the solved questions for 2023 WAEC Mathematics examination.

In a bid to bring assistance to many WAEC candidates who might be facing this challenge, I have succeeded in making the 2023 WAEC mathematics questions and answers available for the benefit of the general public.

In this article that you are reading, you are going to see all the solutions for the WAEC mathematics questions and answers for 2023, theories and objectives. If you are one of the WAEC candidates for 2023 or you have anyone around you, who is sitting for the examination, make sure that you take every information contained in this article very serious.

## WAEC Mathematics Objective Questions

The following are the expected objective questions for WAEC Mathematics 2022

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, 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: log93 – log82 /log93

A. -1/3

B. 1/2

C. 1/3

D. -1/2

8. If 23= 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 3m2 – 2n2 /m2 + mn

A. 4/3

B. 5/3

C. 3/4

D. 3/5

12H 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 /4y2

B. H = 2p / y2

C. H = p / 2 y2

D. H = p / y2

13. Solve 4x2 – 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 102

B. 1.639 x 101

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: x2 – 5x – 14 / x2 – 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 π= 22/7)

A. 7.5 cm

B. 4.5 cm

C. 4.0 cm

D. 2.0 cm

23. If 2a = SQRT(64) and b/a = 3, evaluate a2 + b2.

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

25If 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 π= 22/7)

A. 6.6 cm

B8.8 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 π= 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 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 8m 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

39In 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 π= 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

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## Solutions to WAEC Mathematics Objective Questions 2022

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

11.B 12. C 13. B 14. C 15. B 16. B 17. A 18. A 19. C 20. A

21. A 22. C 23. C 24. 25. C B 26. C 27.  A 28.  B 29 B 30. A

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 454A 47.A 48. C 49. C 50. A

## WAEC Mathematics Theory Questions for 2023

1. Copy and complete the table of values for the equation y = 2×2 – 7x – 9 for -3 ≤x≤6.

1. Using scales of 2 cm to 1 unit on the x-axis and 2 cm to 4 units on the y-axis, draw the graph of y = 2×2 – 7x-9 for -3 ≤ x ≤ 6.

2. Use the graph to estimate the:

3. roots of the equation 2×2 – 7x = 26;

(ii) (iii) coordinates of the minimum point of y; range of values for which 2×2 – 7x < 9.

Question 2

The table shows the distribution of marks scored by some students in a test.

1. If the mean mark is 3 , find the value of m.

2. Find the:

(i) Inter-quartile range;

(ii) Probability of selecting a student who scored at least 4 marks in the test.

## Solutions to WAEC Mathematics Theory Questions 2023

A solution to Question 1

Step 1: Complete the table

Step 2: Plot the graph using the given scale (2 cm to 1 unit on the x-axis and 2 cm to 4 units on the y-axis)

Step 3: Obtain the root of the equation

The roots of the equation 2×2 – 7x = 26 were obtained by drawing a line through y = 17 to meet the curve y = 2×2 – 7x -9. The required roots are – 2.2 ± 0.1 and 5.8 +0.1. The coordinates of the minimum point of y is 1.8 ± 0.1, -15 ± 0.4. The ranges -1+0.1<x<4.5+0

Solution to Question 2

Step 1: find the value of m

From the table ∑fx = 28m-9 and ∑f = 8m-1

So that, 28m-9/8m-1 = 75/23

m = 3

Q1 = (23+1/4)th position = 6th position = 2 and

Q3 = 3(23+1/4)th position = 18th position = 4

∴ Interquartile range = 4-2 = 2

(ii) the probability of selecting a student who scored at least 4 mark is 13/23 whereas most candidates made use of at most 4 marks is 18/23

Keep refreshing this page if you want to get the answers to all the questions as more as answers will be posted shortly.

## Areas to Concentrate in WAEC Mathematics

In WAEC mathematics examination, they are some topics that every candidate should take very serious if they really want to make a good result in the subject. Those topics are what I refer to as areas of concentration.

In this section, I am going to list those topics that WAEC question will always come from. If you able to prepare very well in these areas, you are not going to have any problem as far as WAEC mathematics examination is concern.

The following topics are the areas to concentrate for WAEC mathematics:

A. NUMBER AND NUMERATION

(a) Number bases

(b) Modular Arithmetic

(c) Fractions, Decimals, and Approximations

(d) Indices

(e) Logarithms

(f) Sequence and Series

(g) Sets

(h) Logical Reasoning

(i) Positive and negative integers, rational numbers

(k) Matrices and Determinants

(l) Ratio, Proportions, and Rates

(m) Percentages

(n) Financial Arithmetic

(o) Variation

B. ALGEBRAIC PROCESSES

(a) Algebraic expressions

(b) Simple operations on algebraic expressions

(c) Solution of Linear Equations

(d) Change of Subject of a Formula/Relation

(f) Graphs of Linear and Quadratic functions.

(g) Linear Inequalities

(h) Algebraic Fractions

(i) Functions and Relations

C. MENSURATION

(a) Lengths and Perimeters

(b) Areas

(c) Volumes

D. PLANE GEOMETRY

(a) Angles

(b) Angles and intercepts on parallel lines.

(c) Triangles and Polygons.

( d ) Circles

( e) Construction

(f) Loci

E. COORDINATE GEOMETRY OF STRAIGHT LINES

F. TRIGONOMETRY

(a) Sine, Cosine, and Tangent of an angle.

(b) Angles of elevation and depression

(c) Bearings

G. INTRODUCTORY CALCULUS

H. STATISTICS AND PROBABILITY

(a) Statistics

(b) Probability

I. VECTORS AND TRANSFORMATION

Read also: NECO Mathematics Questions And Answers For 2023 | Theories And Objectives

### How to Answer WAEC Mathematics Questions

They are quite good number of students who have concluded that mathematics is one of the hardest subjects to write in WAEC examination. This could be as a result of how they were thought in their respective secondary schools. Some of them do not even have a good knowledge of mathematics.

For one to pass mathematics examination at one sitting in WAEC, they are some principles that must be put in practice. These are the rules that are applicable during the time of writing the examination.

If you follow the guidelines that I am going to give you in this section, then you will make an excellent result in mathematics

The principles for answering WAEC mathematics examination include the following:

Once you have settled to take your examination in the examination hall, the next thing that you must do first is to read through the instructions on top of the page before you can proceed with reading the questions.

Most times, some instructions are specific to some questions, maybe one or two questions. Here, you still have to take those instructions very serious.

Before you can proceed to answering WAEC mathematics questions, it is highly recommended that you read carefully to understand any question before you can start to answer the questions.

It is possible to see questions that would be similar to what you have been seeing before, probably in past questions, but they are not the same.

This is the point where it is very necessary that you meticulously go through the question before you answer, to avoid choosing the wrong option for objectives and giving wrong explanations for theory questions.

3. Take Note of Compulsory Questions

In every WAEC examination, there is/are usually some questions that are specially made compulsory by the West Africa Examination Council. These questions are always seen in the core 1 which is theory aspect of it.

You must ensure that you are able to answer those compulsory questions before you can think of answering any other ones. The compulsory questions do carry special mark.

The complexity of every question in WAEC mathematics varies. After you have gone through the questions, you would be able to tell which of the questions are simple and the ones that are difficult.

The best approach in such case requires that you answer the questions from the simplest to the most complex ones. This is important because it will help to cushion you against examination tension.

Not only that, it also helps in the management of your time. If you are finding any question difficult to answer, you have to leave it and go to the next. Thereafter, you can re-visit those questions that you have left unanswered.

5. Attempt all the Question

Though it is advisable that you start answering your question from the simplest, leaving the more difficult ones at the first attempts, it does not imply that you should submit you examination without answering those ones you skipped.

It quite understandable that you may not know all the asked questions, you are still required choose your answers even the ones that you do not really know very well.

Sometime, your guess can fall in place and become the right answer. So always ensure that you attempt all you question before you submit.

After you have attempted the entire given questions, you still have to go through all the answers to check for any errors and possible corrections.

By going through the questions, you would be able to see any skipped question(s), if any and the ones you mistakenly clicked the wrong options.

See: Updated May/June WAEC Timetable for the 2023

### Reasons for Poor Performance in mathematics

Many students have erroneously assumed that mathematics is the toughest subject that one can write on WAEC examination. Failure to perform excellently in WAEC mathematics examination is a question of whether the candidate knows the right things to do and if he/she is doing it right.

The poor performance that have been seen in some candidates’ results over the years are as a result of poor application of the basic principles for writing WAEC mathematics examination and some other factors that I am going to show you here.

This is the most important aspect of the reasons for poor performance in WAEC mathematics that should be considered.

It is obtainable in all areas that when there is poor preparation for any examination they will be poor result. As a good student, you are required to prepare for the WAEC mathematics examination to the point that you would be sure of scoring high.

2. Poor Time Management

Time management is another important factor that can lead to poor performance in every examination. You should learn how to manage your time especially when you are in the examination hall.

The practice of time management starts from the period of the candidate’s preparation for the examination. Once you can answer your past questions comfortably with the limited time that will be provided, you will still manage your time very well on the examination date.

3. Lack of Adherence to Given Instructions

There are some students who are fond of ignoring instructions when come for examination. Jumping into answering of questions without reading the given instructions is very wrong. This contributes in a big way to poor performance in the examination.

If you want to have good performance in WAEC mathematics, you have to strictly pay close attention to any given instructions.

When a candidate submits the examination without attempting all the questions, it will automatically affect his/her score. It is important you answer all the questions before your submission.

Note that the questions given in this article will help you to prepare ahead of the 2023 WAEC mathematics examination. I hope that you have found the article informative. For any other questions or comments about WAEC Mathematics Questions and Answers for 2023, kindly make use of the comment section below.

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## 3 thoughts on “WAEC Mathematics Questions And Answers 2023 | Theory And Objectives”

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