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WAEC Mathematics Past Questions & Answers - Page 319

1,591.

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)

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

= \frac{31.4}{3}

= 10.466 cm \approxeq 10.5 cm

1,592.

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.

1,593.
1,594.

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}

1,595.

Find the sum of the first five terms of the G.P 2,6, 18 ....

A.

484

B.

243

C.

242

D.

130

E.

121

Correct answer is C

S_{n} = \frac{a(r^n - 1)}{r - 1}

a = 2; r = 6/2 = 3.

S_{5} = \frac{2(3^5 - 1)}{3 - 1}

= 243 - 1 = 242