WAEC Mathematics Past Questions

Real WAEC Mathematics past questions, each with the correct answer and a worked solution. NECO candidates sit the same paper, so these apply there too. Below are 8 to work through free — no account needed.

Sample drawn from papers of 2019, 2006, 2000.

8 WAEC Mathematics questions with answers

Question 1

WAEC 2006

A regular polygon has each of it angles at 160. What is the number of sides of the polygon?

  1. a.36
  2. b.9
  3. c.18
  4. d.20

Question 2

WAEC 2006

1.3logx+logy =3. Then, y is

  1. a.(10/x)3
  2. b.(x/10)3
  3. c.(x/10)-3
  4. d.(10/x)1-1/3

Question 3

WAEC 2000

X and Y are two events. The probability of X or Y is 0.7 and that of X is 0.4. If X and Y are independent, find the probability of Y.

  1. a.0.30
  2. b.0.50
  3. c.0.57
  4. d.1.80

Solution

P (X or Y) = P(X) + P(Y), when they are independent as given. 0.7 = 0.4 + P(Y) P(Y) = 0.7 - 0.4 = 0.30

Question 4

WAEC 2019

The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.

  1. a.19%
  2. b.20%
  3. c.25%
  4. d.16.3%

Solution

S.I = PR/T100 ⟹ N 4890 = (8550 × 3 × x)/100 x = (4890 × 100)/(8550×3) x=19.06 x≊19

Question 5

WAEC 2019

Simplify 81<sup>(−3/4)</sup> x 25<sup>(1/2)</sup> x 243<sup>2/5</sup>

  1. a.2/5
  2. b.3/5
  3. c.5/2
  4. d.5/3

Solution

81<sup>(−34)</sup> x 25<sup>(1/2)<?sub> x 243<sup>(2/5)</sup> = (4√81)<sup>−3</sup> × √25 × (5√243)<sup>2</sup> = 5×3<sup>2</sup>/3<sup>3</sup>= 5/3

Question 6

WAEC 2019

Find the value of ((0.5436)<sup>3</sup>)/(0.017×0.219) to 3 significant figures.

  1. a.46.2
  2. b.43.1
  3. c.534
  4. d.431

Solution

= 0.16063/0.017 × 0.219 = 43.1 (to 3 s.f)

Question 7

WAEC 2019

If S = (4t + 3)(t - 2), find ds/dt when t = 5 secs.

  1. a.50 units per sec
  2. b.35 units per sec
  3. c.22 units per sec
  4. d.13 units per sec

Solution

s=(4t+3)(t−2) ds/dt=(4t+3)(1)+(t−2)(4) = 4t+3+4t−8 = 8t - 5 ds/dt(t=5secs)=8(5)−5 = 40 - 5 = 35 units per sec

Question 8

WAEC 2019

The angles of a polygon are given by 2x, 5x, x and 4x respectively. The value of x is

  1. a.31°
  2. b.30°
  3. c.26°
  4. d.48°

Solution

Since there are 4 angles given, the polygon is a quadrilateral. Sum of angle in a quadrilateral = 360° ∴ 2x + 5x + x + 4x = 360° 12x = 360° x = 30°

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