WAEC Mathematics Past Questions & Answers - Page 326

1,626.

In the diagram above, O is the center of the circle. If ∠POR = 114o, calculate ∠PQR

A.

123o

B.

118.5o

C.

117o

D.

114o

E.

54o

Correct answer is A

Reflex POR = 2PQR
Reflex PQR = 360o - 114o = 246o
PQR = 246/2 = 123o

1,627.

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

A.

2.44cm

B.

4.89cm

C.

9.78cm

D.

25.1cm

E.

50.3cm

Correct answer is B

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

70o =
25.1/360
x 70 = 4.89

1,628.

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

A.

x = u + p

B.

x = a/p

C.

x = p

D.

x = ap

E.

x = ap

Correct answer is E

\(\log_{a} x = p\)

\(x = a^p\)

1,629.

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]

A.

11.25cm2

B.

12.83cm2

C.

22.0cm2

D.

67.2cm2

E.

90.2cm2

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\(^2\)

1,630.

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

A.

(0,6), (3,9)

B.

(-3, 0)(2,4)

C.

(-2,4)(3,9)

D.

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

E.

(-2,2)(3,6)

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)