WAEC Mathematics Past Questions & Answers - Page 321

1,601.

Factorize x\(^2\) + 4x - 192

A.

(x-4) (x+48)

B.

(x-48) (x+4)

C.

(x-12) (x+16)

D.

(x-12) (x-16)

E.

(x+12) (x+16)

Correct answer is C

x\(^2\) + 4x - 192

x\(^2\) + 16x - 12x - 192

x(x + 16) - 12(x + 16)

(x + 16)(x - 12)

1,602.

In the diagram above, O is the center of the circle with radius 10cm, and ∠ABC = 30°. Calculate, correct to 1 decimal place, the length of arc AC [Take π = 22/7]

A.

5.2cm

B.

10.5cm

C.

13.2cm

D.

20.6cm

E.

31.4cm

Correct answer is B

In the figure, < AOC = 2 x < ABC = 60° (angle subtended at the centre)

\(\therefore\) Arc AC = \(\frac{60}{360} \times 2 \times 10 \times 3.14\)

= \(\frac{31.4}{3}\)

= 10.466 cm \(\approxeq\) 10.5 cm

1,603.

The area shaded with horizontal lines is the solution set of the inequalities;

A.

y ≥ x, y + 3 ≥ 2x, x ≤ 3

B.

y ≤ x, y + 2x ≥ -3, x ≤ 3

C.

y ≤ -x, y + 2x ≤ 3, x ≥ -3

D.

y ≥ -x, y + 3 ≤ 2x, x ≥ -3

E.

y ≤ x, y ≤ 2x - 3, x ≥ 3

Correct answer is B

No explanation has been provided for this answer.

1,604.
1,605.

Let J be the set of positive integers, If H = {x: x∈J, x\(^2\) < 3 and x ≠ 0}, then

A.

H = {1}

B.

H is an infinite set

C.

H = {0, 1, 2}

D.

H = {}

E.

J ≤ H

Correct answer is A

H = {x: x is a positive integer, x\(^2\) < 3 and x \(\neq\) 0}

H = {1}