2003 - WAEC Mathematics Past Questions and Answers - page 4

31

If \(P = \sqrt{QR\left(1+\frac{3t}{R}\right)}\), make R the subject of the formula.

A
\(R = \frac{3Qt}{P^2 - Q}\)
B
\(R = \frac{P^2 – 3t}{Q+1}\)
C
\(R = \frac{P^2 + 3t}{Q - 1}\)
D
\(R = \frac{P^2-3Qt}{Q}\)
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32

From the Venn diagram below, how many elements are in P∩Q?

A
1
B
2
C
4
D
6
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33

From the Venn Diagram below, find Q' ∩ R.

A
(e)
B
(c, h)
C
(c, g, h)
D
(c, e, g, h)
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34

The square root of a number is 2k. What is half of the number

A
\(\sqrt{\frac{k}{2}}\)
B
\(\sqrt{k}\)
C
\(\frac{1}{2}k^2\)
D
2k2
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35

Given that p varies as the square of q and q varies inversely as the square root of r. How does p vary with r?

A
p varies as the square of r
B
p varies as the square root of r
C
p varies inversely as the square of r
D
p varies inversely as r
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36
The probabilities of a boy passing English and Mathematics test are x and y respectively. Find the probability of the boy failing both tests
A
1-(x-y)+xy
B
1-(x+y)-xy
C
1-(x+y)+xy
D
1 - (x - y) + x
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37
The locus of points equidistant from two intersecting straight lines PQ and PR is
A
a circle centre P radius Q.
B
a circle centre P radius PR
C
the point of intersection of the perpendicular bisectors of PQ and PR
D
the bisector of angle QPR
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38

Find the equation whose roots are \(-\frac{2}{3}\) and 3

A
3x2+11x-6=0
B
3x2+7x+6=0
C
3x2-11x-6=0
D
3x2-7x-6=0
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39
Evaluate Cos 45o Cos 30o - Sin 45o Sin 30o leaving the answer in surd form
A
\(\frac{\sqrt{2}-1}{2}\)
B
\(\frac{\sqrt{3}-\sqrt{2}}{4}\)
C
\(\frac{\sqrt{6}-\sqrt{2}}{2}\)
D
\(\frac{\sqrt{6}-\sqrt{2}}{4}\)
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40

In constructing an angle, Olu draws line OX. With centre O and a convenient radius, he draws an arc intersecting OX at P. With centre P and the same radius, he draws an arc intersecting the first arc at Q and finally joins OQ. What is the size of angle POQ so constructed?

A
90o
B
75o
C
60o
D
45o
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