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2002 - WAEC Mathematics Past Questions and Answers - page 4

31
Simplify \(\frac{2^{\frac{1}{2}}\times 8^{\frac{1}{2}}}{4}\)
A
1
B
2
C
4
D
16
32
In the diagram, |SR| = |RQ| and ∠PRQ = 58o ∠VQT = 19o, PQT, SQV and PSR are straight lines. Find ∠QPS
A
42o
B
39o
C
38o
D
30o
33
The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find, correct to 2 decimal places, |PQ|.
A
35.75m
B
25.00m
C
22.98m
D
19.28
34
The volume of a cylinder of radius 14cm is 210cm3. What is the curved surface area of the cylinder?
A
15cm2
B
30cm2
C
616cm2
D
1262cm2
35
Simplify \(3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}\)
A
\(7\sqrt{3}\)
B
\(10\sqrt{3}\)
C
\(14\sqrt{3}\)
D
\(18\sqrt{3}\)
36
Factorize m(2a-b)-2n(b-2a)
A
(2a-b)(2n-m)
B
(2a+b)(m-2n)
C
(2a-b)(m+2n)
D
(2a-b)(m-2n)
37
If q oranges are sold for t Naira, how many oranges can be bought for p naira?
A
\(\frac{p}{2}t\)
B
\(\frac{qt}{p}\)
C
\(\frac{q}{pt}\)
D
\(\frac{pq}{t}\)
38
In the diagram, QRT is a straight line. If angle PTR = 90°, angle PRT = 60°, angle PQR = 30° and |PQ| = \(6\sqrt{3}cm\), calculate |RT|
A
0.3cm
B
\(\frac{\sqrt{3}}{2}cm\)
C
3cm
D
\(3\sqrt{3}cm\)
39
In the diagram, calculate the value of x
A
35o
B
80o
C
100o
D
115o
40
In the diagram, \(\bar{PS}\hspace{1mm} and \hspace{1mm}\bar{QT}\) are two altitudes of ∆PQR. Which of the following is equal to ∠RQT?
A
∠PQT
B
∠SRP
C
∠PQR
D
∠SPR