WAEC - Mathematics (1993)

1
S = {1, 2, 3, 4, 5, 6}, T = {2,4,5,7} and R = {1,4, 5}, and (S∩T) ∪ R
Përgjigju
(C)
{1, 2, 4, 5}
2
Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} - \frac{2}{3})\)
Përgjigju
(D)
¹/₂
3
Solve the inequality: 3m + 3 > 9
Përgjigju
(A)
m > 2
4
Convert 89\(_{10}\) to a number in base two.
Përgjigju
(B)
1011001
5
A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement
Përgjigju
(B)
2⁶/₇%
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.
Përgjigju
(A)
-2
7
Simplify: \(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)
Përgjigju
(D)
2
8
Simplify: \(\frac{\log \sqrt{27}}{\log {81}}\)
Përgjigju
(B)
3/8
9
Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).
Përgjigju
(B)
(2s + t)(s - 2t)
10
Solve the equation x\(^2\) - 2x - 3 = 0
Përgjigju
(E)
(-1, 3).
11
Write as a single fraction: \(\frac{5}{6r} - \frac{3}{4r}\)
Përgjigju
(E)
1/12r
12
Factorize 2x\(^2\) - 21x + 45
Përgjigju
(D)
(2x -15(x - 3)
13
Solve the simultaneous equations y = 3x; 4y - 5x =14
Përgjigju
(B)
2,6
14
A sector of a circle of radius 9cm subtends angle 120° at the centre of the circle. Find the area of the sector to the nearest cm\(^2\) [Take π = 22/7]
Përgjigju
(C)
85cm²
15
Calculate the total surface area of a cone of height 12cm and base radius 5cm. [Take π = 22/7]
Përgjigju
(D)
282\(\frac{6}{7}\)cm\(^2\)
16
A cone is 14cm deep and the base radius is 4\(\frac{1}{2}\)cm. Calculate the volume of water that is exactly half the volume of the cone.[Take π = \(\frac{22}{7}\)]
Përgjigju
(C)
148.5cm³
17
The area and a diagonal of a rhombus are 60 cm\(^2\) and 12 cm respectively. Calculate the length of the other diagonal.
Përgjigju
(C)
10cm
18
The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter of the sector [Take π = 22/7]
Përgjigju
(C)
43cm
19

In the diagram, PQR is a tangent to the circle QST at Q. If |QT| = |ST| and ∠SQR = 68°, find ∠PQT.
Përgjigju
(C)
56^o
20
The sum of an interior angles of a regular polygon is 30 right angles. How many sides has the polygon?
Përgjigju
(D)
17 sides
21

In the diagram above, |QR| = 12cm and |QS| = 10cm. If ∠PQR = 90°, ∠RSQ = 90° and PSQ is a straight line, find |PS|
Përgjigju
(B)
4.4cm
22
In the diagram above, |PQ| = |QR|, |PS| = |RS|, ∠PSR = 30^o and ∠PQR = 80^o. Find ∠SPQ.
Përgjigju
(B)
25^o
23
Two chords PQ and RS of a circle when produced meet at K. If ∠KPS = 31^o and ∠PKR = 42^o, find ∠KQR
Përgjigju
(C)
107^o
24

In the diagram above, QRS is a straight line, QP//RT, PRQ = 56°, ∠QPR =84° and ∠TRS = x°. Find x
Përgjigju
(B)
40°
25
Simplify \(\frac{2.25}{0.015}\) leaving your answer in standard form
Përgjigju
(E)
1.5 x 10²
26
State the fifth and seventh terms of the sequence \(-2, -3, -4\frac{1}{2}, ...\)
Përgjigju
(A)
\(-\frac{81}{8}, -\frac{729}{32}\)
27
A plane tiles 90km on a bearing 030° and then flies 150km due east. How far east of the starting point is the plane?
Përgjigju
(C)
195km
28
If sin x = cos 50^o, then x equals
Përgjigju
(A)
40^o
29
From a point on the edge of the sea, one ship is 24km away on a bearing S 50^oE and another ship is 7km away on a bearing S40^oW. How far apart are the ships?
Përgjigju
(C)
25km
30
Given that tan x = 5/12, what is the value of sin x + cos x ?
Përgjigju
(D)
17/13
31
Cos 75^o has the same value as
Përgjigju
(C)
cos 285^o
32
If sin x = 12/13, where 0° < x < 90°, find the value of 1 - cos\(^2\)x
Përgjigju
(D)
144/169
33
The angle of elevation of the top of a tower from a point on the horizontal ground, 40m away from the foot of the tower is 30o. Find the height of the tower.
Përgjigju
(B)
40√3m /3
34
At a point 500m from the base of a water tank the angle of elevation of the top of the tank is 45o. Find the height of the tank,
Përgjigju
(E)
500m
35
Find the median of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, 25
Përgjigju
(D)
28.5
36
What is A∩B in the diagram above?
Përgjigju
(B)
(2,3,4)
37

The table above shows the scores of a group of 40 students in a physics test.

If the mode is m and the median is n, then (m,n) is
Përgjigju
(A)
(5,5)
38

The table above shows the scores of a group of 40 students in a physics test

What is the mean of the distribution?
Përgjigju
(C)
4.8
39
Find the median of the set of numbers 12, 15, 13, 14, 12, 12.
Përgjigju
(B)
12.5
40
The distribution by state of 840 students in the Faculty of Science of a Nigerian University in a certain session is as follows:

Bendel 45

kwara 410

Ogun 105

Ondo 126

Oyo 154

In a pie chart drawn to represent this distribution, the angle subtended by Ondo is

Përgjigju
(E)
54^o
41

How many student took the examination
Përgjigju
(E)
24
42

How many students scored less than 7 marks?
Përgjigju
(B)
15
43
What is the probability that an integer selected from the set of integers (20, 21, ...., 30) is a prime number?
Përgjigju
(A)
2/11
44
A fair die is rolled once. What is the probability of obtaining a number less than 3?
Përgjigju
(B)
1/3
45
What is the probability of having an even number in a single toss of a fair die?
Përgjigju
(C)
1/2

Bendel	45
kwara	410
Ogun	105
Ondo	126
Oyo	154