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1992 - WAEC Mathematics Past Questions and Answers - page 2

11

The angle of a sector of a circle of radius 8cm is 240°. This sector is bent to form a cone. Find the radius of the base of the cone.

A
16/3cm
B
15/3cm
C
16/5cm
D
8/3cm
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12

The curved surface area of a cylindrical tin is 704cm\(^2\). Calculate the height when the radius is 8cm. [Take π = 22/7]

A
3.5cm
B
7cm
C
14cm
D
28cm
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13

The volume of a cone of height 9cm is 1848cm\(^3\). Find its radius. [Take π = 22/7]

A
7cm
B
14cm
C
28cm
D
98cm
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14

The area of a parallelogram is 513cm\(^2\) and the height is 19cm. Calculate the base.

A
13.5cm
B
25cm
C
27cm
D
54cm
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15

The diagram above shows the shaded segment of a circle of radius 7cm. if the area of the triangle OXY is 12\(\frac{1}{4}\)cm\(^2\), calculate the area of the segment
[Take π = 22/7]

A
5/12cm2
B
7/12cm2
C
11/6cm2
D
2 1/3cm2
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16

In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT = 95°. Find ∠QRT

A
48o
B
45o
C
37o
D
32o
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17

In the diagram above, O is the center of the circle and ∠POR = 126°. Find ∠PQR

A
234o
B
117o
C
72o
D
63o
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18

In the diagram above, TR = TS and ∠TRS = 60o. Find the value of x

A
30
B
45
C
60
D
120
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19

In the diagram above, O is the center of the circle PQRS and ∠QPS = 36°. Find ∠QOS

A
36o
B
72o
C
108o
D
144o
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20

In the diagram above, O is the center of the circle QOR is a diameter and ∠PSR is 37°. Find ∠PRQ

A
37o
B
53o
C
65o
D
127o
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