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WAEC Mathematics Past Questions & Answers - Page 280

1,396.

Two ships on the equator are on longitudes 45^oW and 45^oE respectively. How far are they apart along the equator, correct to 2 significant figures? (Take the radius of earth = 6400km and π = 22/7)

15,000km

10,000km

6,400km

5,000km

3,200km

View answer & explanation

Correct answer is B

D = ^θ/₃₆₀ x 2πR

45 + 45/360^o

44/7

x 6400

= 10057 ≅ 10000km

1,397.

A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm3)

2cm

4cm

5cm

8cm

10cm

View answer & explanation

Correct answer is B

Volume of cuboid = length x breadth x height 12.5 x 20 x h = 1000 250h = 1000 h = 4 cm

1,398.

The angle subtended at the centre by a chord of a circle radius 6cm is 120°. Find the length of the chord.

3cm

6cm

$4\sqrt{2}$ cm

$3\sqrt{3}$ cm

$6\sqrt{3}$ cm

View answer & explanation

Correct answer is E

$\frac{r}{6} = \sin 60$

$r = 6 \sin 60$

= $6 \times \frac{\sqrt{3}}{2}$

= $3\sqrt{3}$

Chord = 2r = $2 \times 3\sqrt{3}$

= $6\sqrt{3}$

1,399.

Solve the equation log₈x - 4log₈x = 2

¹/₄

¹/₂

View answer & explanation

Correct answer is A

log₈x - 4log₈x = 2; log₈x - log₈x⁴ = 2
log₈x/x⁴ = 2
x/x⁴ = 8² = 1/x³ = 64
x³ = (1/4)³; x = 1/4

1,400.

Factorise: 6x $^2$ + 7xy - 5y $^2$

(6x + 5y)(x - y)

(2x + 5y)(3x - y)

(3x + y)(2x - 5y)

(3x + 5y)(2x - y)

(2x + y)(3x - 5y)

View answer & explanation

Correct answer is D

$6x^2 + 7xy - 5y^2$

= $6x^2 + 10xy - 3xy - 5y^2$

= $2x(3x + 5y) - y(3x + 5y)$

= $(2x - y)(3x + 5y)$

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