waec mathematics essay questions and answers

FREE WAEC Mathematics Past Questions and Answers (DOWNLOAD PDF)

If you’re a student preparing for the West African Examinations Council (WAEC) Mathematics exam, you know how important it is to have access to past questions and answers. Practicing with past questions is one of the most effective ways to prepare for the exam and increase your chances of success. WAEC Mathematics Past Questions and Answers provide you with the opportunity to familiarize yourself with the exam format, types of questions, and time management.

WAEC Mathematics Past Questions and Answers cover a wide range of topics and years. They include questions from previous exams , and by practicing with them, you can identify your strengths and weaknesses . You can also get a feel for the types of questions that are likely to appear in the exam. The more you practice with these past questions, the more comfortable you will be with the exam format, and the more confident you will be on exam day.

In summary, practicing with WAEC Mathematics Past Questions and Answers is an effective way to prepare for the exam. By doing so, you can familiarize yourself with the exam format, types of questions, and time management. You can also identify your strengths and weaknesses and get a feel for the types of questions that are likely to appear in the exam.

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Table of Contents

Understanding WAEC Mathematics Examination

When it comes to the West African Examinations Council (WAEC) Mathematics examination, it is important to understand the structure of the exam and the type of questions that are typically asked. Here is what you need to know:

Exam Structure

The WAEC Mathematics examination consists of two papers: Paper 1 and Paper 2. Paper 1 is a multiple-choice test that lasts for 1 hour and 30 minutes, while Paper 2 is a written exam that lasts for 2 hours and 30 minutes. Both papers are mandatory and carry equal weight.

Question Types

The WAEC Mathematics examination typically features questions that cover a range of topics, including algebra, geometry, trigonometry, and calculus. The questions are designed to test your understanding of mathematical concepts and your ability to apply them to real-world scenarios.

Some of the question types you can expect to see on the exam include:

• Multiple-choice questions
• Short-answer questions
• Long-answer questions
• Problem-solving questions
• Application-based questions

Preparation Tips

To prepare for the WAEC Mathematics examination, it is important to start studying early and to cover all the topics that are likely to be on the exam. Here are some tips to help you prepare:

• Use past papers to practice answering different types of questions
• Focus on understanding the underlying concepts rather than just memorizing formulas
• Practice your problem-solving skills by working through sample problems
• Attend extra classes or work with a tutor if you need additional help

By understanding the structure of the exam and the types of questions that are typically asked, you can better prepare yourself for the WAEC Mathematics examination and increase your chances of success.

WAEC Mathematics Syllabus

If you are preparing for the West African Examinations Council (WAEC) Mathematics exam, it is important to know the syllabus. The Mathematics syllabus is divided into two categories: Core and Elective Mathematics. Here’s what you need to know about each category:

Core Mathematics

Core Mathematics is a compulsory subject for all students . The syllabus is divided into six main topics:

• Number and Numeration
• Geometry and Trigonometry
• Mensuration

Each topic covers specific subtopics, which you can find in the official WAEC Mathematics Syllabus. In the exam, you can expect to see questions that cover each of these topics.

Elective Mathematics

Elective Mathematics is an optional subject for students who are interested in pursuing mathematics-related courses in higher education . The syllabus is divided into five main topics:

• Further Algebra and Functions
• Discrete Mathematics
• Vectors and Mechanics

Like Core Mathematics, each topic covers specific subtopics, which you can find in the official WAEC Mathematics Syllabus. In the exam, you can expect to see questions that cover each of these topics.

It is important to note that the Elective Mathematics exam is more difficult than the Core Mathematics exam. If you are considering taking Elective Mathematics, make sure you have a strong foundation in mathematics and are willing to put in the extra effort to prepare for the exam.

Tips for Success in WAEC Mathematics

To excel in WAEC Mathematics, you need to have a solid understanding of the subject matter and a good study plan. Here are some tips that can help you achieve success in WAEC Mathematics:

1. Understand the Syllabus

The first step to success in WAEC Mathematics is to understand the syllabus. Make sure you are familiar with all the topics that will be covered in the exam. This will help you to focus your study efforts and avoid wasting time on irrelevant topics.

2. Practice, Practice, Practice

Practice is key to success in WAEC Mathematics. Solve as many past questions as you can and work through practice exercises. This will help you to identify your weak areas and improve your problem-solving skills.

3. Manage Your Time

Time management is crucial in WAEC Mathematics. Make sure you allocate enough time for each question and avoid spending too much time on difficult questions. Use your time wisely and don’t rush through the exam.

4. Use the Right Tools

Make sure you have all the necessary tools for the exam, such as a scientific calculator, ruler, and protractor. Familiarize yourself with these tools before the exam to avoid any surprises on exam day.

5. Stay Calm and Focused

Finally, stay calm and focused during the exam. Don’t panic if you encounter a difficult question. Take a deep breath, read the question carefully, and try to approach it logically. Remember to show all your working and double-check your answers before submitting your paper.

By following these tips, you can increase your chances of success in WAEC Mathematics. Remember to stay focused, practice regularly, and manage your time effectively. Good luck!

In conclusion , preparing for the WAEC Mathematics exam requires a lot of practice and preparation. The best way to prepare for the exam is by studying past questions and answers. By doing so, you will be able to familiarize yourself with the exam format, types of questions asked, and the level of difficulty of the questions.

The resources available online, such as the WAEC Mathematics past questions and answers, can help you prepare effectively for the exam. You can find these resources on various websites, including MySchoolGist, EduPadi, and PrepStage. These websites offer free and paid access to past questions and answers, including questions from previous years.

To make the most of these resources, you should start practicing as early as possible. Identify your weak areas and work on improving them. Make use of the explanations provided with the answers to understand the concepts and principles behind each question. This will help you to tackle similar questions in the future.

Remember to time yourself while practicing as this will help you to manage your time effectively during the exam. Also, try to simulate exam conditions by practicing in a quiet environment and without distractions.

In summary, the WAEC Mathematics exam is an important exam that requires adequate preparation. By studying past questions and answers, you can improve your chances of success. So, take advantage of the resources available online and start practicing today!

How To Get The  WAEC Mathematics Past Questions 

To get the complete Original WAEC Mathematics Past Questions  and answers of the course mentioned above, you only need to pay the sum of  N2,000  using any of the methods below;

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Frequently Asked Questions

How many theory questions are in waec mathematics.

WAEC Mathematics usually consists of two papers: Paper 1 and Paper 2. Paper 1 is the theory paper and consists of 60 multiple-choice questions. Paper 2 is the essay paper and consists of 10 essay questions.

What is the best way to prepare for WAEC Mathematics?

The best way to prepare for WAEC Mathematics is to practice as many past questions as possible. This will help you familiarize yourself with the format of the exam and the types of questions that are likely to be asked. You should also study the topics covered in the syllabus and make sure you understand them thoroughly.

What are some common topics covered in WAEC Mathematics?

Some common topics covered in WAEC Mathematics include algebra, geometry, trigonometry, calculus, and statistics. You should make sure you are familiar with these topics and can solve problems related to them.

Where can I download WAEC Mathematics past questions and answers?

You can download WAEC Mathematics past questions and answers from various websites online. Some popular websites include myschool.ng, edupadi.com, and prepstage.com. You can also purchase past question papers from bookstores.

How many questions do you need to answer in WAEC Mathematics?

You are required to answer all the questions in both Paper 1 and Paper 2 of WAEC Mathematics. Paper 1 consists of 60 multiple-choice questions, while Paper 2 consists of 10 essay questions.

What are some tips for answering WAEC Mathematics questions accurately?

To answer WAEC Mathematics questions accurately, you should read the questions carefully and make sure you understand what is being asked. You should also show your working and write down all the steps you took to arrive at your answer. This will help you get partial marks even if you don’t arrive at the correct answer. Finally, you should manage your time well and make sure you don’t spend too much time on any one question.

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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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WAEC Mathematics Questions and Answers 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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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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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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