1993 WAEC Mathematics Past Questions & Answers - page 1

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1

S = {1, 2, 3, 4, 5, 6}, T = {2,4,5,7} and R = {1,4, 5}, and (S∩T) ∪ R


A
{1, 4, 5}
B
{2, 4, 5}
C
{1, 2, 4, 5}
D
{2, 3, 4, 5}

Correct Option: C

Solution

S = {1, 2, 3, 4, 5, 6};  T = {2, 4, 5, 7}; R = {1, 4, 5}

(S∩T) ∪ R = {2, 4, 5}  ∪ {1, 4, 5}

= {1, 2, 4, 5}


2

Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)


A
7/30
B
7/24
C
9/25
D
1/2

Correct Option: D

Solution

\(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)

\(\frac{3}{4} \div \frac{5}{4} \times (\frac{9 - 4}{6})\)

= \(\frac{3}{4} \times \frac{4}{5} \times \frac{5}{6}\)

= \(\frac{1}{2}\)


3

Solve the inequality: 3m + 3 > 9


A
m > 2
B
m > 3
C
m>4
D
m>6

Correct Option: A

Solution

3m + 3 > 9

3m > 9 - 3

3m > 6

m > 2


4

Convert 89\(_{10}\) to a number in base two.


A
1101001
B
1011001
C
1001101
D
101101

Correct Option: B

Solution

\(89_{10}\)

2 89
2 44 r 1
2 22 r 0
2 11 r 0
2 5 r 1
2 2 r 1
2 1 r 0
  0 r 1

\(89_{10} = 1011001_{2}\)


5
A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement

A
27/9%
B
26/7%
C
5%
D
277/9%

Correct Option: B

Solution
% Error =
Error /Actual measurement x
100/1

=
0.05/1.80 x
100/1 = 27/9%

6

The nth term of a sequence is given by (-1)\(^{n-2}\) x 2\(^{n+1}\). Find the sum of the second and third terms.


A
-2
B
1
C
2
D
6

Correct Option: A

Solution

when n = 2

(-1)\(^{n-2}\) 2\(^{n+1}\) = 2

When n = 3

(-1)\(^{n-2}\) 2\(^{n+1}\) = -4

Sum = 2 - 4 = -2


7

Simplify: \(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)


A
1/4
B
0
C
1
D
2

Correct Option: D

Solution

\(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)

= \(\frac{16^{\frac{3}{4}}}{4^{\frac{1}{2}} \times 4^{\frac{1}{2}}}\)

= \(\frac{(2^4)^{\frac{3}{4}}}{4^{\frac{1}{2}} \times 4^{\frac{1}{2}}}\)

= \(\frac{2^3}{4}\)

= 2


8

Simplify: \(\frac{\log \sqrt{27}}{\log \sqrt{81}}\)


A
1/6
B
3/8
C
1/2
D
3/4

Correct Option: B

Solution

\(\frac{\log \sqrt{27}}{\log 81}\)

= \(\frac{\log \sqrt{3^3}}{\log 3^4}\)

= \(\frac{\log 3^{\frac{3}{2}}}{\log 3^4}\)

= \(\frac{\frac{3}{2} \log 3}{4 \log 3}\)

= \(\frac{\frac{3}{2}}{4}\)

= \(\frac{3}{8}\)


9

Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).


A
(2s - t)(s + 2t)
B
(2s + t)(s - 2t)
C
(s + t)(2s - 1)
D
(2s + t)(s -t)

Correct Option: B

Solution

2s\(^2\) - 3st - 2t\(^2\)

= 2s\(^2\) - 4st + st - 2t\(^2\)

= 2s(s - 2t) + t(s - 2t)

= (2s + t)(s - 2t)


10

Solve the equation x\(^2\) - 2x - 3 = 0


A
(-3, 1)
B
(-1, -3)
C
(3,1)
D
(43, 0)

Correct Option: E

Solution

x\(^2\) - 2x - 3 = 0

x\(^2\) - 3x + x - 3 = 0

x(x - 3) + 1(x - 3) = 0

(x + 1)(x - 3) = 0

x = (-1, 3)


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