WAEC Mathematics Past Questions & Answers - Page 208

1,036.

If (-3, -4) is a point on the line y = mx + 2 find the value of m.

A.

-2

B.

\(\frac{7}{4}\)

C.

2

D.

\(\frac{8}{3}\)

Correct answer is C

If (-3, -4) is a point on the line then

-4 = -3m + 2

-4 - 2 = -3m

-6 = -3m

m = 2

1,037.

Find the nth term of the sequence 4, 10, 16 ,...

A.

2(3n- 1)

B.

2(2 + 3 n-1)

C.

2 n + 2

D.

2(3n+2)

Correct answer is A

\(T_{1} = 4; T_2 = 10; T_3 = 16\)

\(T_{2} - T_1 = T_3 - T_1 = 6\)

\(T_n = a + (n - 1) d\)

= \(4 + (n - 1) \times 6\)

= \(4 + 6n - 6\)

= \(6n - 2\)

= 2(3n - 1)

1,038.

From the diagram, find the bearing of Q from P.

A.

236o

B.

214o

C.

146o

D.

124o

Correct answer is A

No explanation has been provided for this answer.

1,039.

If (x + 3) varies directly as y and x = 3 when y = 12, what is the value of x when y = 8?

A.

1

B.

\(\frac{1}{2}\)

C.

\(-\frac{}{}\)

D.

-1

Correct answer is A

\((x+3) \propto y\\
∴x + 3 = ky\hspace{1mm}when\hspace{1mm}x = 3, y = 12\\
3+3 = 12k\\
∴ k = \frac{1}{2}\\
\Longrightarrow x + 3 = \frac{1}{2}y\) to find x when y = 8
\(x + 3 = \frac{1}{2}\times 8\\
x=4-3\\
x = 1\)

1,040.

The ratio of the number of men to the number of women in a 20 member committee is 3:1. How many women must be added to the 20-member committee so as to make the ratio of men to women 3:2?

A.

2

B.

3

C.

7

D.

9

Correct answer is B

20 members in the ratio 3:1

Number of women = \(\frac{1}{4} \times 20\)

= 5

Let the number of women to be added = x

Total number of members in the committee = 20 + x

\(\frac{5 + x}{20 + x} = \frac{2}{5}\)

\(5(5 + x) = 2(20 + x)\)

\(25 + 5x = 40 + 2x \implies 5x - 2x = 40 - 25\)

\(3x = 15 \implies x = 5\)