I believe that you’re here because you don’t know the nature of how exams are being set by WAEC. If you don’t, then you’re at the right place.

In this guide, we will talk extensively on WAEC past questions and answers for Mathematics, show you possible questions that may likely fall into the exams paper in the proceeding year.

Not only that, you’ll be given adequate instructions on how to answer questions on WAEC

Recently, I wrote on two interesting topics WAEC Past Questions and Answers on Civic Education and WAEC Past Questions and Answers on Chemistry , I strongly recommend you to click on the links above and read.

The WAEC past questions and answers are mostly repeated year after year, which is why you have to read this guide carefully till the end and take notice of those questions.

Most times, I hear students giving complains about how hard the questions is, reason behind it is that they failed to study using our guide.

I believe if you’re reading this, you will definitely want to pass your exams with flying colours. See more details on the instructions and guidelines given by WAEC to follow while writing the exams below.

**Important Guidelines to follow in your WAEC Examination**

There are alot of guidelines and instructions you as a student need to follow. We will bring to light what needs to be done accordingly.

The examination paper is divided into three different parts, which is Part 1 & 2

Part 1 is Objectives. You should expect 50 questions from this section.

Part 2 is the theory section, you should be expecting 10 questions to answer 5 from this section. This section carries the highest point.

Meaning that if you do well with this section and a little of part 1 ..then you’re good to go.

You should also note that the West African Examination Council frowns at cheating. Any candidate who is caught cheating will be sentenced to life imprisonment.

**WAEC Mathematics Objective Questions**

The questions you see below are possible questions that might be repeated in this year’s examination.

Endeavor to read this guide to the end carefully with understanding, where possible ask relevant questions and we’ll reply prompt.

SECTION A:

1. Simplify 1½ + 2⅓ × ¾ – ½

A. 3¾

B. 3¼

C. 2¾

D. 1¾

E. 1¼

2. Simplify ⅓ log2 64.

A. 2

B. 3

C. 4

D. 6

E. 12

3. Evaluate 0.6721 × 0.0261 and express your answer in standard form.

A. 1754 × 10⁴

B. 1754 × 10³

C. 1.754 × 10-³

D. 1.754 × 10-²

E. 1.754 × 10-¹

4. The first term of a Geometric Progression is 6. If it’s common ratio is ⅔, find the 5th term.

A. 128/243

B. 61/81

C. 8/3

D. 16/9

E. 32/27

5. The first and last terms of an Arithmetic Progression are 6 and 153 respectively. If there are 50 terms in the sequence, find it’s common difference.

A. 9

B. 7

C. 6

D. 4

E. 3

6. Simplify 2 + √5/2√5 – 1

A. 1/19(10 + 5√5)

B. 1/19(12 – 4√5)

C. 1/19(12 + 4√5)

D. 1/19(12 – 5√5)

E. 1/19(12 + 5√5)

7. A shareholder bought shares worth N100,000.00 on ordinary share at N2.00 each. If a dividend of 15 kobo per share is declared, how much dividend was received?

A. N13,333.33

B. N12,000.00

C. N10,000.00

D. N9,500.00

E. N7,500.00

8. Find the future value of an ordinary annuity of N500.00 paid yearly for a4 years at 10% per annum.

A. N700.00

B. N732.05

C. N923.50

D. N1,232.05

E. N2,320.50

9. Find the sum of the first 40 even positive integers.

A. 1,600

B. 1,640

C. 1,680

D. 3,200

E. 3,280

10. The first term of an Arithmetic Progression is –3. If the sixth term is 22, find the mean of the common difference and the first term.

A. 1

B. 4

C. 5

D. 7

E. 8

11. Find the perimeter of a sector of a circle with radius 7cm which subtends an angle of 180° at the centre of the circle.

A. 36cm

B. 44cm

C. 58cm

D. 74cm

E. 108cm

12. Victoria went for a doctor’s appointment on Monday. If her next appointment is 45 days after, which day of the week will it be?

A. Friday

B. Monday

C. Saturday

D. Thursday

E. Wednesday

13. Solve the inequality

3x – 5 ≥ 20 – 2x.

A. x > 4

B. x ≥ 4

C. x ≥ 5

D. x < 5

E. x ≤ 6

14. If 4x² – 12x + c is a perfect square, find the value of c.

A. 36

B. 9

C. 9/4

D. -9/4

E. -9

15. If (a – 3) is one of the factors of a² + 14a – 51, find the other factor.

A. (a – 11)

B. (a + 17)

C. (a – 17)

D. (a + 48)

E. (a – 48)

16. Find the gradient of a straight line joining the points ( – 3, 0) and ( 0, 5).

A. 20

B. 10

C. 1⅔

D. – 3/2

E. – 5/3

17. A quadratic equation whose roots are – ⁵/⁴ and ¾ is

A. 16x² + 2x – 15 = 0

B. 16x² – 2x + 15 = 0

C. 16x² – 4x – 15 = 0

D. 16x² – 8x + 15 = 0

E. 16x² + 8x – 15 = 0

18. If P varies directly as √Q and P = 6 when Q = 81, find the value of P when Q = ¼.

A. 3

B. ³/²

C. ⅓

D. – ½

E. –3

19. What is the maximum value of y?

A. 6.05

B. 4.05

C. –4.05

D. –5.05

E. –10.05

20. Let p: I study hard

q: I pass physics

r: I am happy

Translate P => (q v r) into statement.

A. I am unhappy but I pass physics

B. I pass physics and I am happy

C. If I do not study hard, then I pass physics and I am happy

D. If I study hard, then I pass physics and I am happy

E. If I study hard, then I pass physics or I am happy

21. Let p: I like bread with egg

q: I like ginger in tea

Translate ‘I like ginger in tea but not bread with egg’ into symbol.

A. q v p

B. q ^ p

C. q v ~ p

D. q ^ ~ p

E. ~ q ^ p

22. Given that ( 2x – 1) (x + 5) = 2x² – mx – 5, find the value of m.

A. 11

B. 5

C. -5

D. -9

E. -10

23. Find the midpoint of a line joining the points M(4, 0) and N(3, p).

A. (p/2, 7/2)

B. (7/2, p/2)

C. (1/2, p/2)

D. (p/2, ½)

E. (0, 7/2)

24. Find the equation of a line with gradient 3, passing through (1, 4).

A. 3x – y = 1

B. 3x – y = -2

C. y – 3x = -4

D. y – 3x = 1

E. y – 3x = 3

25. Solve the simultaneous equations: y = ⅓ x – 1, 3x – 2y = 4

A. 12/7, 5/7

B. 7/6, – 5/7

C. 6/7, – 5/7

D. – 5/7, 6/7

E. ⅗, 2/7

**WAEC Mathematics Theory Questions**

Question

- If, without using Mathematical tables or Calculator, find the value of
*y*. - When I walk from my house at 4km/h, I will get to the Office 30 minutes later than when I walk 5km/h. calculate the distance between my house and Office.

Question 2

If the sixth term of an Arithmetic Progression (A.P.) is 37 and the sum of the first six terms is 147, find the:

1. first term;

2. sum of the first fifteen terms.

Question 3

Out of 120 customers in a shop, 45 bought bags and shoes. If all the customers bought either bags or shoes and 11 more customers bought shoes than bags:

1. illustrate this information in a diagram;

2. find the number of customers who bought shoes;

3. calculate the probability that a customer selected at random bought bags.

Question 4

1. A manufacturing company requires 3 hours of direct labour to process every ₦87.00 worth of raw materials. If the company uses ₦30,450.00 worth of raw materials, what amount should it budget for direct labour at ₦18.25 per hour?

2. An investor invested ₦x in bank M at the rate of 6% simple interest per annum and ₦y in bank N at the rate of 8% simple interest per annum. If a total of ₦8,000,000.00 was invested in the two banks and the investor received a total of ₦2,320,000.00 as interest from the two banks after 4 years, calculate the:

3. values of x and y;

(ii) interest paid by the second bank

…

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