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WAEC Mathematics Past Questions & Answers - Page 137

681.

An arc of a circle subtends an angle of 60^o at the centre. If the radius of the circle is 3cm, find , in terms of $\pi$ , the length of the arc

$\pi$ cm

2 $\pi$ cm

3 $\pi$ cm

6 $\pi$ cm

View answer & explanation

Correct answer is A

Length of arc = $\frac{\theta}{360} \times 2\pi r$

= $\frac{60}{360} \times 2\pi \times 3cm$

= $\pi$ cm

682.

The capacity of a water tank is 1,800 litres. If the tank is in form of a cuboid with base 600cm by 150 cm. Find the height of the tank

2cm

20cm

200cm

2000cm

View answer & explanation

Correct answer is B

1 litre = 1000cm³

1800 litre = 1800 x 1000cm³

l x b x h = capacity

600 x 150 x h = 1800000

h = $\frac{1800000}{600 \times 150}$ cm

h = 20cm

683.

If 85% of x is N3230, what is the value of x?

N2745.50

N3714.50

N3800.00

N4845.00

View answer & explanation

Correct answer is C

85% of x = 3230

$\frac{85}{100} \times x$ = N3230

x = $\frac{100}{85}$ x N3230

x = N3800.00

684.

If 9^2x = $\frac{1}{3}$ (27^x), find x

-1

-2

View answer & explanation

Correct answer is C

9^2x = $\frac{1}{3}$ (27^x)

(2²)^2x = $\frac{(3^{3x})}{3}$

(3^4x) = 3^{3x - 1}

4x = 3x - 1

4x - 3x = -1

x = -1

685.

Express 2.7864 x 10^-3 to 2 significant figures

0.28

0.27

0.0028

0.0027

View answer & explanation

Correct answer is C

2.7864 x 10^-3 = 0.0027864

= 0.0028(approx. 2 s.f)

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