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• PAST QUESTIONS

WAEC Mathematics Past Questions (Free Download)

• April 24, 2024

Here is collection of Mathematics past examination questions to assist you with your studies for the West African Senior School Certificate Examination (WASSCE) for both School and GCE candidates.

If you are in your last stage of Secondary School Education (May/June) or not in the School system (GCE), the importance of using old exam papers in preparing for your West African Senior School Certificate Examination (WASSCE), cannot be over emphasized. By using past exam papers as part of your preparation, you can find out what you already know. By the same token you also find out what you do not know well enough or don’t know at all.

What is more, the  WAEC past questions for Mathematics  can also be used as an organizational tool to manage your time better, as you can plan according to each section of the paper.

As a matter of fact, revision is more better than memorizing facts and going over notes. You can practice for your  Mathematics WAEC  Exam  by answering real questions from past papers. This will give you a better chance of passing.

WAEC Past Questions for Mathematics  

Click on the year you want to start your revision.

• Mathematics Paper 2 (Objective Test and Essay) – June 2023
• Mathematics Paper 2 (Objective Test and Essay) – June 2022
• Mathematics Paper 2 (Objective Test and Essay) – June 2021
• Mathematics Paper 2 (Objective Test and Essay) – June 2020
• Mathematics Paper 1 (Objective Test and Essay) – June 2019
• Mathematics Paper 2 (Objective Test and Essay) – June 2018
• Mathematics Paper 1 (Objective Test and Essay) – June 2017

Do you have any other past question(s) other than the ones listed here? If yes, don’t hesitate to share them with others by sending it to  [email protected] .

You have to keep trying more than one exam to increase your success in the forthcoming WAEC Exam.

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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.

Understanding WAEC Mathematics Examination

Free download now.

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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Once your payment is confirmed, the 100% real PDF WAEC English Past Questions and answers of the course you paid for will be sent  immediately  to the email address you provided in your text message. You absolutely have nothing to fear or worry about.  We are 100% trusted!  If you have questions or enquiries, you can call this number:  09060853525  between 9:00am – 5:00pm (Mondays To Saturdays).

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 Past Questions and Answers (PDF) Free Download

WAEC Past Questions and Answers are available here, in PDF format. You can download the WACE past questions for all available subjects. See the list of available subjects for the WAEC Past Papers and how to download them.

We have WAEC Past Questions and Answers for all the most popular WAEC subjects. Most of the WAEC past papers start from the most recent WAEC exam, down to a couple of years back.

So, you will have the material that will help you study many WAEC past questions and the answers to the questions as well. To download the Past questions (PDF), see below.

Recommended for WAEC students : Study our more complete WAEC Past Questions and Answers for FREE .

But if you don't want that, download the free limited PDF versions below.

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• WAEC mathematics past questions & answers PDF (free)
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You can also study all WAEC Past Questions and Answers for different subjects for FREE. The link takes you to more Past Questions and Answers on WAEC for all available subjects and different years of the past questions.

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WAEC MATHEMATICS PAST QUESTIONS, SOLUTIONS AND MODEL PRACTICE QUESTIONS

The book contains five years WAEC Mathematics past questions, solutions and model practice questions for students to practice. It is now available at Okadabooks. Check the book here: WAEC Mathematics Past Questions, Solutions and Model Practice Questions

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WASSCE / WAEC Core / General Mathematics Past Questions

Welcome to the our WASSCE / WAEC Core / General Mathematics past questions page on the web. 

Larnedu has the largest WASSCE past questions collection on the web and this is no exaggeration.

We’re not perfect but we have been working towards improving every day and achieving our  mission , which includes helping every student that accesses our learning resources and is ready to work hard, excel academically.

All the WAEC Core Mathematics past questions on this page have been 100% free since day one and would likely remain so in the foreseeable future.

We actually spend our financial resources to have some of our WASSCE past questions sent to us, so please:

• DO NOT download any of our WASSCE General Mathematics  past papers to post on other forums or websites without giving us credit.
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Remember, we started this page to help students who don’t have the budget for hardcopy WASSCE General Mathematics past question papers or who want easy access to the past question papers on their mobile devices or computers.

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The West African Senior School Certificate Examination (WASSCE) is a type of standardized test taken in West Africa, mostly by students who wish to proceed to the higher institution. It is administered by the West African Examination Council (WAEC).

It is only offered to candidates residing in Anglophone West African countries namely: Ghana, Gambia, Nigeria, Liberia and Sierra Leone and is written 2 times a year ( May/June and Nov/Dec).

The WASSCE tests candidates according to the topics on the WAEC syllabus.

The contents in each WASSCE General Mathematics question paper (for a specific year) is usually similar from one country to another. Questions on the WASSCE General Mathematics theory section may be specified to be answered by candidates from a particular country and this happens mostly in the theory section.

A WASSCE question paper on a particular subject may be entirely cancelled and changed in a region when the West African Examination Council (WAEC) heading that region suspects a leakage of examination papers before the start of the exam.

Benefits of regular WAEC past questions practice

Speed: Regular practice of our WASSCE Core Mathematics past questions makes you faster on the exam day. It’s no secret that questions on the WASSCE for each particular subject are usually similar to questions in previous years since they’re from the same WAEC syllabus . WAEC also sometimes repeats questions word-for-word.

Exposure: Regular practice exposes you to your weaknesses and gives you a chance to better yourself before the exam.

Decreases chances of anxiety: Regular and efficient practice improves your confidence before the exam.

These and many more are some of the beautiful benefits of practising WASSCE Core Mathematics past questions.

So it’s important you make it a habit to regularly practice with the past question papers. There’s no doubt that this would help you achieve the grades you desire on the WASSCE on the long run.

Don’t just focus only on the WAEC past questions we provide on this page. We also have other WASSCE related resources that will be of great help to you.

Below this section are the General Mathematics WASSCE / WAEC past questions we have for now. Feel free to use them in accordance to the rules stated on this page and our Terms of Service .

Download (pdf) or view WASSCE / WAEC Core / General  Mathematics past questions online

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What To Expect In Waec Mathematics And Hot Questions

May 16, 2020 by FlashIsaac 50 Comments

2021 Waec Mathematics : What are the areas Waec will set  Mathematics Questions from and how do I get Waec Mathematics 2021 OBJ And Essay Questions ?  Waec  2021   General  Mathematics  Questions is what we shall discuss here.

WAEC Mathematics Syllabus (Explained)

WAEC 2024 Mathematics Likely Questions And Answers

Waec General Mathematics  is important to every  Waec 2021 Candidate . Read on for Sample  Questions Waec would set in 2021 Mathematics Objective and Theory  or click here  for Waec 2021  Mathematics Syllabus .

Waec 2021 Maths 1 & 2 Questions And Answers

You have asked the questions, what are the areas Waec sets questions in  Mathematics ? I am here to give you bold answers to your question.

To make this topic easy for you to understand, I will divide it into three sections. The three sections are:

• Waec 2021    Mathematics  Objective Questions
• 2021 Waec   General  Mathematics  Essay Questions And Answers.
• Instructions To Pass Waec 2021 Examination.

Waec 2021  Maths  Objective Questions

As usual, you will be given questions and options A to E to choose from. Normally, the number of objective questions (OBJ)  you are to answer in Waec 2021  Mathematics  Science is 50.

1. If the 2nd and 5th terms of a G.P are 6 and 48 respectively, find the sum of the first for term A. -45 B. -15 C. 15 D. 33 E. 45

2. If sinθθ = K find tanθθ, 0o ‰‰ θθ ‰‰ 90o A. 1-K B. kkˆ’1kkˆ’1 C. k1ˆ’k2ˆšk1ˆ’k2 D. k1ˆ’kk1ˆ’k E. kk2ˆ’1ˆškk2ˆ’1

3. Evaluate (101.5)2 – (100.5)2 A. 1 B. 2.02 C. 20.02 D. 202 E. 2021

4. Express the product of 0.06 and 0.09 in standard form A. 5.4 * 10-1 B. 5.4*10-2 C. 5.4*10-3 D. 5.4*102 E. 5.4*103

5. Simplify 361/2 x 64-1/3 x 50 A. o B. 1\24 C. 2/3 D. 11/3 E. 71/2

6. Find the quadratic equation whose roots are x = -2 or x = 7 A. x2 + 2x – 7 = 0 B. x2 – 2x + 7 = 0 C. x2 + 5 +14 = 0 D. x2 – 5x – 14 = 0 E. x2 + 5x – 14 = 0

7. A sales girl gave a change of N1.15 to a customer instead of N1.25. Calculate her percentage error A. 10% B. 7% C. 8.0% D. 2.4% E. 10%

8. What is the probability of having an odd number in a single toss of a fair die? A. 1/6 B. 1/3 C. 1/2 D. 2/3 E. 5/6

9. If the total surface area of a solid hemisphere is equal to its volume, find the radius A. 3.0cm B. 4.5cm C. 5.0cm D. 9.0cm

10. If 23x + 101x = 130x, find the value of x A. 7 B. 6 C. 5 D. 4

11. Simplify: (34ˆ’2334ˆ’23) x 11515 A. 160160 B. 572572 C. 110110 D. 1710710

12. Simplify:(103ˆš5ˆšˆ’15”¾”¾”¾ˆš1035ˆ’15)2 A. 75.00 B. 15.00 C. 8.66 D. 3.87

13. The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds? A. 90cm B. 135cm C. 180cm D. 225cm

14. Which of following is a valid conclusion from the premise. “Nigeria footballers are good footballers”? A. Joseph plays football in Nigeria therefore he is a good footballer B. Joseph is a good footballer therefore he is a Nigerian footballer C. Joseph is a Nigerian footballer therefore he is a good footballer D. Joseph plays good football therefore he is a Nigerian footballer

15. On a map, 1cm represent 5km. Find the area on the map that represents 100km2. A. 2cm2 B. 4cm2 C. 8cm2 D. 8cm2

16. Simplify; 3nˆ’1×27n+181n3nˆ’1×27n+181n A. 32n B. 9 C. 3n D. 3n + 1

17. What sum of money will amount to D10,400 in 5 years at 6% simple interest? A. D8,000.00 B. D10,000.00 C. D12,000.00 D. D16,000.00

18. The roots of a quadratic equation are 4343 and -3737. Find the equation A. 21×2 – 19x – 12 = 0 B. 21×2 + 37x – 12 = 0 C. 21×2 – x + 12 = 0 D. 21×2 + 7x – 4 = 0

19. Find the values of y for which the expression y2ˆ’9y+18y2+4yˆ’21y2ˆ’9y+18y2+4yˆ’21 is undefined A. 6, -7 B. 3, -6 C. 3, -7 D. -3, -7

20. Given that 2x + y = 7 and 3x – 2y = 3, by how much is 7x greater than 10? A. 1 B. 3 C. 7 D. 17

21. Simplify; 21ˆ’xˆ’1×21ˆ’xˆ’1x A. x+1x(1ˆ’x)x+1x(1ˆ’x) B. 3xˆ’1x(1ˆ’x)3xˆ’1x(1ˆ’x) C. 3x+1x(1ˆ’x)3x+1x(1ˆ’x) D. x+1x(1ˆ’x)x+1x(1ˆ’x)

22. Make s the subject of the relation: P = S + sm2nrsm2nr A. s = mrpnr+m2mrpnr+m2 B. s = nr+m2mrpnr+m2mrp C. s = nrpmr+m2nrpmr+m2 D. s = nrpnr+m2nrpnr+m2

23. Factorize; (2x + 3y)2 – (x – 4y)2 A. (3x – y)(x + 7y) B. (3x + y)(2x – 7y) C. (3x + y)(x – 7y) D. (3x – y)(2x + 7y)

24. The curve surface area of a cylinder, 5cm high is 110cm 2. Find the radius of its base. [Take π=227π=227] A. 2.6cm B. 3.5cm C. 3.6cm D. 7.0cm

25. The volume of a pyramid with height 15cm is 90cm3. If its base is a rectangle with dimension xcm by 6cm, find the value of x A. 3 B. 5 C. 6 D. 8

26. Calculate the gradient of the line PQ A. 3535 B. 2323 C. 3232 D. 5353

27. A straight line passes through the point P(1,2) and Q (5,8). Calculate the length PQ A. 411”¾”¾”¾ˆš411 B. 410”¾”¾”¾ˆš410 C. 217”¾”¾”¾ˆš217 D. 213”¾”¾”¾ˆš213

28. If cos θθ = x and sin 60o = x + 0.5 0o < θθ < 90o, find, correct to the nearest degree, the value of θθ A. 32o B. 40o C. 60o D. 69o

29. Age(years)Frequency13101424158165173Age(years)1314151617Frequency1024853

The table shows the ages of students in a club. How many students are in the club? A. 50 B. 55 C. 60 D. 65

30. The marks of eight students in a test are: 3, 10, 4, 5, 14, 13, 16 and 7. Find the range A. 16 B. 14 C. 13 D. 11

31. If log2(3x – 1) = 5, find x. A. 2.00 B. 3.67 C. 8.67 D. 11

32. A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r A. 2323 B. 2 C. 3 D. 6

33. Express 1975 correct to 2 significant figures A. 20 B. 1,900 C. 1,980 D. 2,000

34. A bag contains 5 red and 4 blue identical balls. Id two balls are selected at random from the bag, one after the other, with replacement, find the probability that the first is red and the second is blue A. 2929 B. 518518 C. 20812081 D. 5959

35. The relation y = x2 + 2x + k passes through the point (2,0). Find the value of k A. – 8 B. – 4 C. 4 D. 8

36. Find the next three terms of the sequence; 0, 1, 1, 2, 3, 5, 8… A. 13, 19, 23 B. 9, 11, 13 C. 11, 15, 19 D. 13, 21, 34

37. If {X: 2 d- x d- 19; X integer} and 7 + x = 4 (mod 9), find the highest value of x A. 2 B. 5 C. 15 D. 18

38. The sum 110112, 11112 and 10m10n02. Find the value of m and n. A. m = 0, n = 0 B. m = 1, n = 0 C. m = 0, n = 1 D. m = 1, n = 1

39. A trader bought an engine for $15,000.00 outside Nigeria. If the exchange rate is $0.070 to N1.00, how much did the engine cost in Niara? A. N250,000.00 B. N200,000.00 C. N150,000.00 D. N100,000.00

40. If 27x×31ˆ’x92x=127x×31ˆ’x92x=1, find the value of x. A. 1 B. 1212 C. -1212 D. -1

41. Find the 7th term of the sequence: 2, 5, 10, 17, 6,… A. 37 B. 48 C. 50 D. 63

42. Given that logx 64 = 3, evaluate x log8 A. 6 B. 9 C. 12 D. 24

43. If 2n = y, Find 2(2+n3)(2+n3) A. 4y1313 B. 4yˆ’3ˆ’3 C. 2y1313 D. 2yˆ’3ˆ’3

44. Factorize completely: 6ax – 12by – 9ay + 8bx A. (2a – 3b)(4x + 3y) B. (3a + 4b)(2x – 3y) C. (3a – 4b)(2x + 3y) D. (2a + 3b)(4x -3y)

45. Find the equation whose roots are 3434 and -4 A. 4×2 – 13x + 12 = 0 B. 4×2 – 13x – 12 = 0 C. 4×2 + 13x – 12 = 0 D. 4×2 + 13x + 12 = 0

46. If m = 4, n = 9 and r = 16., evaluate mnmn – 17979 + nrnr A. 1516516 B. 1116116 C. 516516 D. – 137483748

47. Adding 42 to a given positive number gives the same result as squaring the number. Find the number A. 14 B. 13 C. 7 D. 6

48. Ada draws the graph of y = x2 – x – 2 and y = 2x – 1 on the same axes. Which of these equations is she solving? A. x2 – x – 3 = 0 B. x2 – 3x – 1 = 0 C. x2 – 3x – 3 = 0 D. x2 + 3x – 1 = 0

49. The volume of a cone of height 3cm is 381212cm3. Find the radius of its base. [Take π=227π=227] A. 3.0cm B. 3.5cm C. 4.0cm D. 4.5cm

50. The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the cylindrical tank. [Take π=227π=227] A. 14cm B. 7m C. 31212m D. 13434m

51. PQRT is square. If x is the midpoint of PQ, Calculate correct to the nearest degree, LPXS A. 53o B. 55o C. 63o D. 65o

52. The angle of elevation of an aircraft from a point K on the horizontal ground 30αα. If the aircraft is 800m above the ground, how far is it from K? A. 400.00m B. 692.82m C. 923.76m D. 1,600.99m

53. The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 7 students A. 32o B. 45o C. 60o D. 75o

54. The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile. A. 62 B. 63 C. 64 D. 65

55. Which of the following is used to determine the mode of a grouped data? A. Bar chart B. Frequency polygon C. Ogive D. Histogram

56. The area of a rhombus is 110cm A. 5.0 B. 4.0 C. 3.0 D. 2.5

57. Simplify: 3xˆ’yxy+2x+3y2xy+123xˆ’yxy+2x+3y2xy+12 A. 4x+5yˆ’xy2xy4x+5yˆ’xy2xy B. 5yˆ’4x+xy2xy5yˆ’4x+xy2xy C. 5x+4yˆ’xy2xy5x+4yˆ’xy2xy D. 4xˆ’5y+xy2xy4xˆ’5y+xy2xy

58. A farmer uses 2525 of his land to grow cassava, 1313 of the remaining for yam and the rest for maize. Find the part of the land used for maize A. 215215 B. 2525 C. 2323 D. 45

59. The rate of consumption of petrol by a vehicle varies directly as the square of the distance covered. If 4 litres of petrol is consumed on a distance of 15km. how far would the vehicle go on 9 litres of petrol? A. 221212km B. 30km C. 331212km D. 45km

60. A trader bought 100 oranges at 5 for N40.00 and 20 for N120.00. Find the profit or loss percent A. 20% profit B. 20% loss C. 25% profit D. 25% loss

Also: How to answer Waec questions very fast

General Maths Waec 2021 Theory Questions And Answers

The following are the kind of questions you should expect in Waec 2021  Mathematics Theory or Essay. They are hot cake questions:

• Two angles of a pentagon are in the ratio 2:3. The others are 60o each. Calculate the smaller of the two angles
• The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in p is 10cm high, would be the height of the same quantity of water in Q?
• n what modulus is it true that 9 + 8 = 5?
• In a cumulative frequency graph, the lower quartile is 18 years while the 60th percentile is 48 years. What percentage of the distribution is at most 18 years or greater than 48 years?
• In parallelogram PQRS, QR is produced to M such that |QR| = |RM|. What fraction of the area of PQMS is the area of PRMS?

That’s all for now… I shall update you when more real live questions and answers come up. However, I advice that you are hardworking so as to pass your Waec once and for all.

Read Also: How to read and pass Waec in one day

Feel free to share this article with friends today using the share buttons and don’t fail to comment using the comment box below.

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50 Comments

onitilo maria says

I need ur help in waec mathematics for 2022

victor says

On victor Ejike

Tracey says

It needs critical thinking

Isaac Inegbenehi says

We need solutions to compare with ours whether ryt or wrong

It’s very cool

Nwadialor chinecherem says

I need answers for both objective and theory please

Adebayo festus says

Please i need answers to the questions

Oluwatomisin Margaret Adeola says

I need d answers for both obj and all d theory answer

Anonymous says

Pls is dat d whole mathematics theory or pls I need more question

racheal says

thanks but i need more question

It’s too difficult. Solutions please.

Orhurhu Peculiar says

Please let it not be hard ,because it’s looks like it hard

Aliu Favour says

OBJ answers pls

D OBJ questions re too hard we need solutions to d questions been given.

Raymond Philippa says

Answer please

Daodu Okikijesu says

Realy nice questions but i still need to work on my self. I need answers to d questions

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• Mathematics

Mathematics WAEC Past Questions

If the 2nd and 5th terms of a G.P are 6 and 48 respectively, find the sum of the first four for term

If sin\( \theta \) = K find tan\(\theta\), 0° \(\leq\) \(\theta\) \(\leq\) 90°.

• B. \( \frac{k}{k - 1} \)
• C. \( \frac{k}{\sqrt{1 - k^2}} \)
• D. \( \frac{k}{1 - k} \)
• E. \( \frac{k}{\sqrt{ k^2 - 1}} \)

• A. 5.4 * 10 -1
• B. 5.4*10 -2
• C. 5.4*10 -3
• D. 5.4*10 2
• E. 5.4*10 3

Simplify 36\(^\frac{1}{2}\) x 64\(-^\frac{1}{3}\) x 5\(^0\)

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• WAEC Mathematics Questions & Answers 2021 (OBJ & Theory) Now available

WAEC Mathematics Questions and Answers: This WAEC 2021 Mathematics expo question and answer is now available on our desk and also available for delivery to all candidates taking the examinations this year, 5hrs before exam time.

If you are taking the WAEC Exam in 2021, feel free to expect a good-response and quality services from here.

WAEC Mathematics Questions and Answers Expo 2021

Mathematics Exam Pattern:

WAEC Mathematics exam comes in theory, OBJ, and practical papers. It has paper one, paper two, and paper three. Paper 1 is the Objective paper (OBJ), Paper 2 is Theory (essay).

WAEC MATHEMATICS COMPLETE QUESTIONS & ANSWERS NOW AVAILABLE. subscribe for the biology expo if you don’t want late answers.

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Title : , mathematics (core), exam : , wassce/waec may/june, paper 1 | objectives.

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HOME » Past Questions » Free WAEC Past Questions and Answers for All Subjects

Free WAEC Past Questions and Answers for All Subjects

Free WAEC past questions and answers are available here for download!

Are you in your last stage of Secondary School Education (May/June) or not in the School system (GCE)? If yes, you can now download West African Senior School Certificate Examination (WASSCE)  past papers to assist you with your studies.

The importance of using past questions in preparing for your West African Senior School Certificate Examination (WASSCE), cannot be over emphasised. By using past exam papers as part of your preparation, you can find out what you already know and at the same time also find out what you do not know well enough or don’t know at all.

See: WAEC Timetable for May/June Candidates and WAEC Timetable for GCE Candidates .

WAEC Past Questions

• WAEC Agricultural Science Past Questions
• WAEC Biology Past Questions
• WAEC Chemistry Past Questions
• WAEC Commerce Past Questions
• WAEC CRK Past Questions
• WAEC Economics Past Questions
• WAEC English Past Questions
• WAEC Financial Accounting Past Questions
• WAEC Further Maths Past Questions
• WAEC Geography Past Questions
• WAEC Literature in English Past Questions
• WAEC Mathematics Past Questions
• WAEC Physics Past Questions
• WAEC Technical Drawing Past Questions
• WAEC Visual Arts Past Questions
• WAEC Yoruba Past Questions

See also: WAEC Latest Syllabus for all subjects and WAEC Sample Questions and Scheme for All Subjects .

Do you have any other past question(s) other than the ones listed here? If yes, don’t hesitate to share them with others by sending it to  [email protected] .

Practice WAEC Past Questions and Answers Online – All Subjects.

WAEC recently launched a portal called WAEC e-learning to curb the number of failures in the WAEC May/June SSCE by creating a portal that contains the resources for all WAEC approved subjects that will students understand the standards required for success in respective examinations.

WAEC e-learning contains past questions and solutions of all subjects.

WAEC e-learning portal is accessible from http://waeconline.org.ng/e-learning/index.htm.

Don’t forget to share this with your friends if you want their success.

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WAEC Mathematics Questions and Answers 2022/2023 [Solved Expo]

• February 8, 2022

This is for 2021 WAEC Candidates searching for free WAEC Mathematics questions 2021 and correct WAEC Mathematics answers 2021/2022 before exam.

What you will see here today is the solved  WAEC 2021 Mathematics Questions and Answers expo for theory (essay paper 2), and OBJ (objectives paper 1).

Note: This WAEC 2021 mathematics expo is free for all candidates writing this exam. Please take this seriously and make good use of it.

WAEC Mathematics Expo Runs 2021/2022

If you have been curious about getting answers to questions like, where can I get WAEC maths questions and answers before the exam or the best/legit WAEC expo website, then this will especially be for you!!!

With this, candidates will no longer have to search for the WAEC mathematics runs website because our free material will help you to score at least B if not A.

All you need to do now is to follow the solved questions below and take note of them in case you see them in the exam that you are about to write.

WAEC Mathematics Exam/Paper Formats 2021

Before I give you the solved WAEC Mathematics questions and answers for 2021, I kindly want to orient you on the exam pattern and the format in which the exam will be administered.

Download WAEC Maths Syllables

WAEC 2021 Mathematics Exam Scheme, Format/Pattern:

The 2021 WAEC Maths exam has two papers (Paper 1 and Paper 2). Paper 1 is Objectives (OBJ) with 60 multiple questions while paper 2 is the theory (essay).

2021 WAEC Maths Paper 1 (objectives OBJ)

• Exam Type: Mathematics I Objectives
• Paper Type: Paper one
• Number of Questions: 60 questions
• Duration: 1 hour, 45 minutes
• Examiner: Not Stated

Details for WAEC Maths Paper 2 (Theory and Essay)

• Exam Type: Mathematics (II) Theory
• Paper Type: Paper Two
• Number of Questions: Selected questions

Needed Materials for WAEC Maths Exam 2021

• Pencil (The recommended pencil is HB)
• Calculator (your WAEC Exam Calculator only)
• Ruler (inside your maths set)
• Math Set (the one that comes with your WAEC Calculator)
• OMR (this will be given to you by the examiner)

Examiners Instructions:

• Shade your OBJ Answers with HB Pencil only
• Do not open your question paper until you are told to do so.
• Read all the Exam’s instructions on the first page of the Question paper.

What to Do in the Exam hall immediately you enter.

When you enter your Exam hall, locate your exam seat, and sit down there: Your Exam seat is the sit that has your Exam Number written on it. Then on your answer booklet (answers sheet), write your;

• Exam Number
• Center Number
• Full name (Starting from your Surname, Firstname, and Middle Name).
• In the same way, Shade your Name, Exam Number, and Center number accordingly, on the OMR (OBJ answer booklet)

Solved WAEC 2021 Maths OBJ Questions and Answers

Our free WAEC Mathematics Questions 2021 and correct WAEC Mathematics Answers 2021 maybe dropped here on this page immediately if available.

So keep visiting this page to check if we have dropped it. Please keep checking this page and don’t miss out.

Solved Mathematics sample Questions and Answers: below are our solved sample past questions to practice with before the exam.

1. Which of these numbers is not less than -2?

Solution Solving: -2 is greater than -2, -3, -4, -5, -6 and so on. But -1 is greater than -2.

The Correct Answer is A): Because it is greater than -2.

2. -6 is greater than -2 but less than -7? True or false

• None of the above

Solving for the solution: -6 is greater than any number from -7 to the negative infinity but less than any number from -5 to the positive infinity.

The Correct Answer is C): Because -6 is not greater than -2 and it is not less than -7.

3. Add 26b + 12a + 16a – 4b

• 22b – 28a
• -22b – 28a

Solution Solving for Questions 3: Firstly, you have to Collect like terms. Therefore, we have;

• 26b – 4b + 12a + 16a.
• Next, we have 26b – 4b = 22b
• And 12a + 16a = 28a
• Therefore, we have 22b + 28a

The Correct Answer is A): 22b + 28a

4. Multiply this equation: (x – 6)(2x + 7)?

• 2×2 + 5x – 42
• 2×2 – 5x – 42
• 2×2 – 5x + 42
• 2×2 + 5x + 42
• -2×2 + 5x – 42

Solving for question 4 solution: Here, we start by removing the bracket

Thus; 2×2 + 7x – 12x – 42

Hence, 2×2 – 5x – 42

The Correct Answer is B): 2×2 – 5x – 42

5. Factorise the following: 5×2 – 15x – 20?

• 5(x+4)(x+1).
• -2(x-4)(x+5)
• -5(x+4)(x-1)
• 5(x-4)(x+1)

Solution Solving to question 5: Firs find the L.C.M of 5, 15 and 20 = 5(x2 – 3x – 4).

• = 5(x2 – 4x + x – 4).
• = 5{x(x – 4) +1(x – 4)}.
• = 5(x-4)(x+1).

The Correct Answer is D): 5(x-4)(x+1)

We may likely drop the answers if any is available. So keep visiting and refreshing this page to check if we have dropped it. Please, don’t miss out.

More Solutions:

• English Language solved Questions and Answers 2021
• Civic Education OBJ and Theory Questions and Answers
• Marketing OBJ/Theory Questions and Answers expo

Rules for shading OBJ Answers on OMR (OBJ Answer Booklet)

OMR stands for Optical Mark Recognition is the answer sheet given to you for your OBJ answers.

You must be very careful when shading your answers on OMR, else, the machine may not be able to mark your exam sheet.

• The machine online marks where it sees black spots. So shade your answers thick but not across the frame.
• Don’t shade more than one option on a particular question.

WAEC Theory Questions and Answers for Mathematics 2021

How to Answer WAEC Mathematics Theory Questions 2021: Mathematics theory questions for 2021 WAEC needs brain work and accuracy.

So for you to pass this 2021 WAEC Mathematics Exam, you must be very smart and when carrying out your calculations, you must/should look out for the following format/procedures

• Ensure to cross-check your calculation twice or thrice to eliminate calculation errors.
• Use calculators to calculate all answers and avoid doing guesswork (except when familiar with such a question).
• Endeavor to apply suitable formulas for each question.
• Make sure to use a ruler when ruling lines to maintain accuracy (Do not do free-hand line drawing)
• When constructing angles, make sure you measure all sides to be accurate.
• If you have enough time for questions that can be solved in more than one method, then solve with the other methods to see if you will still arrive at the same answer.
• Avoid too much cancellation.
• Do not try to erase your mistakes but rather, cross any mistake you make.
• Each answer to a question should be properly labeled (indicated). Do not mix up questions.

That is it!!! I am sure you have learned more than enough from our free WAEC Mathematics questions 2021 and sample WAEC Mathematics answers 2021/2022?

Follow all the information above will really help you to score very high in this exam without waiting for WAEC 2021 Mathematics questions and answers expo.

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WAEC GCE Mathematics Past Questions and Answer

Download WAEC GCE Mathematics Past Questions and Answer and use them while preparing for the next WAEC session.

Here we’ve past question papers in Maths plus some propose answers. These past papers can also be beneficial to Cameroon GCE students as well.

What is WAEC ?

The  West African Examinations Council  ( WAEC ) is an examination board established by law to determine the examinations required in the public interest in the English-speaking West African countries, to conduct the examinations and to award certificates comparable to those of equivalent examining authorities internationally.

It is similar to the Cameroon GCE Board or the Uganda National Examination Board ( UNEB ).

 The WAEC was established in 1952 and has contributed to education in Anglophonic countries of West Africa (Ghana, Nigeria, Sierra Leone, Liberia, and Gambia), with the number of examinations they have coordinated, and certificates they have issued.

They also formed an endowment fund, to contribute to education in West Africa, through lectures, and aid to those who cannot afford education .

The council conducts four different categories of examinations which are;

• International Examinations,
• National Examinations,
• Examinations conducted in collaboration with other examining bodies,
• and Examinations conducted on behalf of other examining bodies.

 The International exams are exams taken in the five countries with the WAEC ordinance. It consists of   WASSCE  (West African Senior School Certificate Examination):

• WASSCE FOR PRIVATE CANDIDATES (FIRST SERIES) JANUARY–FEBRUARY
• WASSCE FOR (SCHOOL CANDIDATES) MARCH – MAY
• WASSCE FOR PRIVATE CANDIDATES (MAIN GCE ) SEPTEMBER–OCTOBER

The National examinations are taken in individual countries. They include:

• the Junior Secondary School Certificate for Nigeria and the Gambia,
• Junior and Senior High School Certificate Examinations for Liberia,
• National Primary School and Basic Education Certificate Examinations for Sierra Leone,
• Basic Education Certificate Examinations for Ghana, and
• Senior School Certificate Examinations for Ghana.

The council also coordinates examinations in collaboration with some trustworthy examination bodies. These include:

• City and Guilds of London Institute
• Royal Society of Arts  
• WAEC Research Institute

The council also conducts examination in West Africa on behalf of international examination bodies. These include:

• University of London  GCE
• Scholastic Aptitude Test and Graduate Record Examinations for Educational Testing Service, Princeton, USA, and
• JAMB  (Joint Admissions and Matriculations Board) examination in countries outside Nigeria.

Available WAEC GCE Mathematics Past Questions and Answer

There are two different types of the examination here:

• WASSCE May/June  is the Senior School Certificate Examination (SSCE) for school candidates. It is taken by final year students in senior secondary schools. This examination is offered during summer (April to May), and the results are available by August.
• WASSCE Nov/Dec , also known as  General Certificate Examination  ( GCE ) or WAEC GCE , is a private examination. This examination is only offered during autumn and it is usually taken by secondary school leavers who want to correct deficiencies in their results. The results are available by December.

Under the new  WAEC Marking and Grading Scheme , the letters A to F are used to indicate how good a result is. Explanations: In other words, To get an A in WAEC Mathematics, you need to score above 75% in the Exam. 75% means you are able to get 75 questions correctly out of 100 questions.

Past papers

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General Mathematics Paper 2, WASSCE (PC 2ND), 2020

• Subject Home

General Comment

The Chief Examiner reported that the standard of the paper was quite good and was well spread across the basic rudiments of the topics in the syllabus and in tandem with those of the previous years. The questions were clear, simple and direct, free from any form of ambiguity and were all the within the syllabus. The marking scheme was well prepared and well structured. It was in no way severe with marks and weighting appropriately distributed on the strength of the questions.

The Chief Examiner also reported that candidates performed tremendously well compared to previous years.

WAEC SYLLABUS FOR GENERAL MATHEMATICS/MATHEMATICS (CORE) 2021/2022 (WASSCE)

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WAEC WASSCE [SSCE] SYLLABUS FOR GENERAL MATHEMATICS/MATHEMATICS (CORE)

The aims of the syllabus are to test candidates’:

• mathematical competency and computational skills;
• understanding of mathematical concepts and their relationship to the acquisition of entrepreneurial skills for everyday living in the global world;
• ability to translate problems into mathematical language and solve them using appropriate methods;
•  ability to be accurate to a degree relevant to the problem at hand;
• logical, abstract and precise thinking.

This syllabus is not intended to be used as a teaching syllabus. Teachers are advised to use their own National teaching syllabuses or curricular for that purpose.

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

• WAEC SYLLABUS FOR INFORMATION AND COMMUNICATION TECHNOLOGY (CORE) 2021/2022 (WASSCE)
• WAEC SYLLABUS FOR GENERAL AGRICULTURE 2021/2022 (WASSCE)

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.

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.

The topics, contents and notes are intended to indicate the scope of the questions which will be set. The notes are not to be considered as an exhaustive list of illustrations/limitations.

Candidates should be familiar with the following units and their symbols.

( 1 ) Length

1000 millimetres (mm) = 100 centimetres (cm) = 1 metre(m).

1000 metres = 1 kilometre (km)

10,000 square metres (m 2 ) = 1 hectare (ha)

( 3 ) Capacity

1000 cubic centimeters (cm 3 ) = 1 litre (l)

• milligrammes (mg) = 1 gramme (g)

1000 grammes (g) = 1 kilogramme( kg )

• ogrammes (kg) = 1 tonne.

( 5) Currencies

The Gambia  –   100 bututs (b) = 1 Dalasi (D)

Ghana –  100 Ghana pesewas (Gp) = 1 Ghana Cedi ( GH¢)

Liberia –  100 cents (c) = 1 Liberian Dollar (LD)

Nigeria –  100 kobo (k) = 1 Naira (N)

Sierra Leone  –  100 cents (c) = 1 Leone (Le)

UK –  100 pence (p) = 1 pound (£)

USA –  100 cents (c) = 1 dollar ($)

French Speaking territories:  100 centimes (c) = 1 Franc (fr)

Any other units used will be defined.

( 1) Use of Mathematical and Statistical Tables

Mathematics and Statistical tables, published or approved by WAEC may be used in the examination room. Where the degree of accuracy is not specified in a question, the degree of accuracy expected will be that obtainable from the mathematical tables.

• Use of calculators

The use of non-programmable, silent and cordless calculators is allowed. The calculators must, however not have the capability to print out nor to receive or send any information. Phones with or without calculators are not allowed.

• Other Materials Required for the examination

Candidates should bring rulers, pairs of compasses, protractors, set squares etc required for papers of the subject. They will not be allowed to borrow such instruments and any other material from other candidates in the examination hall.

Graph papers ruled in 2mm squares will be provided for any paper in which it is required.

( 4) Disclaimer

In spite of the provisions made in paragraphs 4 (1) and (2) above, it should be noted that some questions may prohibit the use of tables and/or calculators.

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2021-2022 WAEC PAST QUESTIONS on Further Mathematics: Objectives and Essay with ANSWERS with easy study

2021-2022 WAEC PAST QUESTIONS on Further Mathematics: Objectives and Essay with ANSWERS with easy study – Are you interested in WAEC Further Mathematics. Here are WAEC Further Mathematics questions and answers, WAEC Further Mathematics syllabus 2022, past questions on mathematics, WAEC further mathematics expo 2022.

Table of Contents

As a matter of fact, WAEC Further Mathematics questions and answers for 2022/2023 are here. Are you a WAEC candidate? If your answer is yes, this post will show you the WAEC Further Mathematics answers and the tricks you need to excel in your WAEC exam.

WAEC questions are set and compiled by the West African Senior School Certificate Examination Board (WASSCE). Make sure you follow the instructions as provided by WAEC.

The Focuses:

0.1 2021/2022 WAEC Further Mathematics Questions and Answers 1 WAEC Further Maths Questions 2 WAEC Further Maths Essay and Objective 2021 (EXPO) 2021/2022 WAEC Further Mathematics Questions and Answers Symbols used:

^ means raise to power / division

The Further Mathematics examination paper is going to comprise of two papers

Paper 1: Essay Paper 2: Objectives And, PAPER 1: will consist of forty multiple-choice objective questions, covering the entire Futher Mathematics syllabus. Candidates will be required to answer all questions in 1 hour for 40 marks. The questions will be set from the sections of the syllabus as sated here under:

Pure Mathematics – 30 questions Statistics and probability – 4 questions Vectors and Mechanics – 6 questions

2021-2022 WAEC PAST QUESTIONS on Further Mathematics

PAPER 2: will consist of two sections, Sections A and B, to be answered in 2 hours for 100 marks.

Section A will consist of eight compulsory questions that areelementary in type for 48 marks. The questions shall be distributed as follows:

Pure Mathematics – 4 questions Statistics and Probability – 2 questions Vectors and Mechanics – 2 questions

Section B will consist of seven questions of greater length and difficulty put into three parts thus; Part I: Pure Mathematics – 3 questions Part II: Statistics and Probability – 2 questions And, Part III: Vectors and Mechanics – 2 questions

WAEC Further Maths Questions

• 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

• Given that y = 3x^3 + 4x^2 + 7. Find dy/dx at x = 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

• Given the matrix M=

2 -4 -4 1 8 2 1 1 -2

• If logy18 = 3, find the value of y.

A. -2 B. -12 C. 12 D. 2

• A binary operation Δ is defined on the set of real numbers, R, by aΔb=a+bab√, where a≠ 0, b≠ 0. Evaluate −3Δ−1.

A. −43–√ B. −43√3 C. −33√4 D. −33√4

• Simplify 1(1−3√)2 A. 1−123–√ B. 1+123–√ C. 3–√ D. 1+3–√
• If x2−kx+9=0 has equal roots, find the values of k.

A. 3, 4 B. ±3 C. ±5 D. ±6

• Find the coordinates of the centre of the circle 3×2+3y2−4x+8y−2=0 A. (-2,4) B. (−23,43) C. (23,−43) D. (2, -4)

10.The function f: x →4−2x−−−−−√ is defined on the set of real numbers R. Find the domain of f.

A. x<2 B. x≤2 C. x=2 D. x>−2

• Given that f(x)=x+12, find f1(−2).

A. -5 B. -3 C. −12 D. 5

• Given that 6x+m2x2+7x−15≡4x+5−22x−3, find the value of m.

A. 20 B. 12 C. -10 D. -22

• Find the coefficient of x4 in the expansion of (1−2x)6.

A. -320 B. -240 C. 240 D. 320

• Find the 21st term of the Arithmetic Progression (A.P.): -4, -1.5, 1, 3.5,…

A. 43.5 B. 46 C. 48.5 D. 51

• How many ways can 6 students be seated around a circular table?

A. 36 B. 48 C. 120 D. 720

• If (2413)(54) = k(17.540.0), find the value of k.

A. 1.2 B. 3.6 C. 0.8 D. 0.5

• Express cos150° in surd form.

A. −3–√ B. −3√2 C. −12 D. 2√2

• A straight line 2x+3y=6, passes through the point (-1,2). Find the equation of the line.

A. 2x-3y=2 B. 2x-3y=-2 C. 2x+3y=-4 D. 2x+3y=4

• α and β are the roots of the equation 2×2−3x+4=0. Find α+β.

A. -2 B. -32 C. 32 D. 2

• α and β are the roots of the equation 2×2−3x+4=0. Find αβ+βα A. −98 B. −78 C. 78 D. 98
• If B=(2153), find B−1.

A. A=(−31−52) B. A=(31−52) C. A=(3−1−52) D. A=(−315−2)

• Given that sinx=513 and siny=817, where x and y are acute, find cos(x+y).

A. 130221 B. 140221 C. 140204 D. 22023

• A circle with centre (4,5) passes through the y-intercept of the line 5x – 2y + 6 = 0. Find its equation.

A. x2+y2+8x−10y+21=0 B. x2+y2+8x−10y−21=0 C. x2+y2−8x−10y−21=0 D. x2+y2−8x−10y+21=0

• If y=1+x1−x, find dydx.

A. 2(1−x)2 B. −2(1−x)2 C. −11−x√ D. 11−x√

• Evaluate ∫0−1(x+1)(x−2)dx A. 76 B. 56 C. −56 D. −76
• Simplify 128√32√−22√ A. 22–√ B. 32–√ C. 3 D. 4
• There are 7 boys in a class of 20. Find the number of ways of selecting 3 girls and 2 boys

A. 1638 B. 2730 C. 6006 D. 7520

• The 3rd and 7th term of a Geometric Progression (GP) are 81 and 16. Find the 5th term.

A. 4729 B. 8116 C. 27 D. 36

• Differentiate 5×3+x2x,x≠0 with respect to x.

A. 10x+1 B. 10x+2 C. x(15x+1) D. x(15x+2)

• A curve is given by y=5−x−2×2. Find the equation of its line of symmetry.

A. x=−418 B. x=−14 C. x=14 D. x=418

• In a class of 10 boys and 15 girls, the average score in a Biology test is 90. If the average score for the girls is x, find the average score for the boys in terms of x.

A. 200−2×3 B. 225−3×2 C. 250−2x D. 250−3x

• A fair die is tossed twice. What is its smple size?

A. 6 B. 12 C. 36 D. 48

• Given that a = 5i + 4j and b = 3i + 7j, evaluate (3a – 8b).

A. 9i + 44j B. -9i + 44j C. -9i – 44j D. 9i – 44j

• Solve 32x−3x+2=3x+1−27 A. 1 or 0 B. 1 or 2 C. 1 or -2 D. -1 or 2
• Find the magnitude and direction of the vector p=(5i−12j) A. (13, 113.38°) B. (13, 067.38°) C. (13, 025.38°) D. (13, 157.38°)

36 The velocity, V, of a particle after t seconds, is V=3t2+2t−1. Find the acceleration of the particle after 2 seconds.

A. 10ms−2 B. 12ms−2 C. 14ms−2 D. 17ms−2

• Given that f(x)=2×2−3 and g(x)=x+1 where x∈R. Find g o f(x).

A. 2(x2−1) B. 2×2+4x−1 C. 2×2+6x−1 D. 3(x2−1)

• If P = n2+1:n=0,2,3 and Q = n+1:n=2,3,5, find P∩ Q.

A. {5, 10} B. {4, 6} C. {1, 3} D. { }

• If (2×2−x−3) is a factor of f(x)=2×3−5×2−x+6, find the other factor

A. (x – 2) B. (x – 1) C. (x + 1) D. (x + 32)

• Simplify 3√3√−1+3√3√+1 A. 12 B. 3 C. 23–√ D. 6
• Find the domain of g(x)=4×2−19×2+1√ A. x:x∈R,x=12 B. x:x∈R,x≠13 C. x:x∈R,x=13 D. x:x∈R
• Given that f(x)=3×2−12x+12 and f(x)=3, find the values of x.

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

• A binary operation * is defined on the set of real numbers, by a∗b=ab+ba. If (x−−√+1)∗(x−−√−1)=4, find the value of x.

A. 6 B. 5 C. 4 D. 3

• If 4×2+5kx+10 is a perfect square, find the value of k.

A. 510√4 B. 410−−√ C. 510−−√ D. 410√5

• if the polynomial f(x)=3×3−2×2+7x+5 is divided by (x – 1), find the remainder.

A. -17 B. -7 C. 5 D. 13

• P=1,3,5,7,9,Q=2,4,6,8,10,12,R=2,3,5,7,11 are subsets of U=1,2,3,…,12. Which of the following statements is true?

A. Q∩R=∅ B. R⊂P C. (R∩P)⊂(R∩U) D. n(P′∩R)=2

• If log3a−2=3log3b, express a in terms of b.

A. a=b3−3 B. a=b3−9 C. a=9b3 D. a=b39

• If α and β are the roots of 2×2−5x+6=0, find the equation whose roots are (α+1) and (β+1).

A. 2×2−9x+15=0 B. 2×2−9x+13=0 C. 2×2−9x−13=0 D. 2×2−9x−15=0

• Resolve 3x−1(x−2)2,x≠2 into partial fractions.

A. x2(x−2)−5(x−2)2 B. 5(x−2)+x2(x−2)2 C. 12(x−2)+5×2(x−2)2 D. −12(x−2)+8×2(x−2)2

• If α and β are the roots of the equation 2×2+5x+n=0, such that αβ=2, find the value of n.

A. -4 B. -2 C. 2 D. 4

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