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WAEC Mathematics Past Questions & Answers

1.

Find the mean deviation of a set of numbers: 14, 15, 16, 17, 18, and 19.

A.

2.5

B.

1.7

C.

1.5

D.

3.5

Correct answer is C

x̄ = 14+15+16+17+18+196=996 = 16.5

M . D = (1416.5)+(1516.5)+(1616.5)+(1716.5)+(1816.5)+(1916.5)6

M.D = (2.5)+(1.5)+(0.5)+(0.5)+(1.5)+(2.5)6

Taking the absolute value of the deviations

M.D = 2.5+1.5+0.5+0.5+1.5+2.56

M.D = 96 = 1.5

2.

M varies jointly as the square of n and square root of q. If M = 24 when n = 2 and q = 4, find M when n = 5, q = 9.

A.

288

B.

400

C.

300

D.

225

Correct answer is D

Mn2q

M=Kn2q

K = Mn2q

K = 24224

k = 248=3

Now, let's find M when  n = 5 and q = 9

M = Kn2q

M = 3×529

M=3×25×3

Therefore, M = 225.

3.

The diagonals of a rhombus are 16 cm and 12 cm find the length of the side.

A.

20cm

B.

8cm

C.

14cm

D.

10cm

Correct answer is D

In a rhombus, the diagonals are perpendicular bisectors of each other, and they bisect the angles of the rhombus. This means that a rhombus is essentially made up of four congruent right-angled triangles.
We can use the Pythagorean theorem to find the length of one side of the rhombus (s)
s2=82+62
s2=64+36
s2=100
s = 100 
s =10 cm
So, the length of each side of the rhombus is 10 cm.

4.

If 2x - 3y = -11 and 3x + 2y = 3, evaluate (yx)2

A.

16

B.

25

C.

9

D.

4

Correct answer is A

2x - 3y = -11 --- (i)
3x + 2y = 3 --- (ii)
Multiply equation (i) by 3 and equation (ii) by 2
6x - 9y = -33 --- (iii)
6x + 4y = 6 --- (iv)
Subtract equation (iii) from (iv)
13y = 39

y = 3913 = 3 

substitute (3) for y in equation (ii)
3x + 2(3) = 3
3x + 6 = 3
3x = 3 - 6
3x = -3
x  = 33 = - 1

Now,
(yx)2=(3(1))2
= (3+1)2
= 42
= 16

5.

A notebook of length 15 cm was measured to be 16.8 cm, calculate, correct to two d.p, the percentage error in the measurement.

A.

12.00%

B.

11.71%

C.

10.71%

D.

11.21%

Correct answer is A

Error = 16.8 - 15 = 1.8cm

% error = errorActualvalue×100

=      1.815×100

0.12×100

   =   12.00%