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WAEC Mathematics Past Questions & Answers - Page 324

1,616.

Calculate and correct to three significant figures, the length of an arc subtends an angle of 70^o at the center of the circle radius 4cm. [Take π = 22/7]

2.44cm

4.89cm

9.78cm

25.1cm

50.3cm

View answer & explanation

Correct answer is B

Circumference of circle = 2πr = 2 x 3.14 x 4
= 25.1cm 360^o = 25.1cm

70^o =

25.1/360

x 70 = 4.89

1,617.

If logax = p, express x in terms of a and p

x = u + p

x = a/p

x = p

x = ap

x = a^p

View answer & explanation

Correct answer is E

$\log_{a} x = p$

$x = a^p$

1,618.

A sector is cut off from a circle radius 8.2cm to form a cone, if the radius of the resulting cone is 3.5cm, calculate the curved surface area of the cone. [take π = 22/7]

11.25cm²

12.83cm²

22.0cm²

67.2cm²

90.2cm²

View answer & explanation

Correct answer is E

r = 3.5 cm; l = 8.2 cm.

Curved surface area = $\pi rl$

= $\frac{22}{7} \times \frac{7}{2} \times \frac{41}{5}$

= 90.2 cm $^2$

1,619.

Which of the following gives the point of intersection of the graph y = x2 and y = x + 6 shown above?

(0,6), (3,9)

(-3, 0)(2,4)

(-2,4)(3,9)

(-2,3)(-3,2)

(-2,2)(3,6)

View answer & explanation

Correct answer is C

From the graph; when x = -2, y = 4
(-2, 4)

x = 3.0, y = 9; (3,9)

(-2, 4)(3,9)

1,620.

In the diagram above, O is the center of the circle QRT and PT is a tangent to the circle at T. Calculate the angle x

55^o

40^o

35^o

25^o

20^o

View answer & explanation

Correct answer is E

∠QPT = x^o = 180^o - 125^o - 35^o = 20^o

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