WAEC - Mathematics (1990)

1
Simplify 125\(^{\frac{-1}{3}}\) x 49\(^{\frac{-1}{2}}\) x 10\(^0\)
Одговорити
(C)
1/35
2
If 3\(^{2x}\) = 27, what is x?
Одговорити
(B)
1.5
3
Express 0.00562 in standard form
Одговорити
(A)
5.62 x 10^-3
4
Given that 1/3log₁₀ P = 1, find the value of P
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(E)
1000
5
Simplify \(\frac{\log \sqrt{8}}{\log 8}\)
Одговорити
(B)
1/2
6
Evaluate using the logarithm table, log(0.65)²
Одговорити
(D)
3.6258
7
If log x = \(\bar{2}.3675\) and log y = 0.9750, what is the value of x + y? Correct to three significant figures
Одговорити
(E)
9.46
8
While doing his physics practical, Idowu recorded a reading as 1.12cm instead of 1.21cm. Calculate his percentage error
Одговорити
(C)
7.44%
9
Find the 4th term of an A.P, whose first term is 2 and the common difference is 0.5
Одговорити
(C)
3.5
10

From the graph determine the roots of the equation y = 2x\(^2\) + x - 6
Одговорити
(C)
-2, 1.5
11

Find the values of x for which y = 5
Одговорити
(B)
-2.6, 2.1
12
An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of θ if the radius of the circle is 15cm?[Take π = 22/7]
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(B)
84^o
13
Find the sum of the first five terms of the G.P 2,6, 18 ....
Одговорити
(C)
242
14
Let J be the set of positive integers, If H = {x: x∈J, x\(^2\) < 3 and x ≠ 0}, then
Одговорити
(A)
H = {1}
15
In a class of 80 students, every students had to study economics or geography, or both economics and geography, if 65 students studied economics and 50 studied geography, how many studied both subjects?
Одговорити
(C)
35
16
The area shaded with horizontal lines is the solution set of the inequalities;
Одговорити
(B)
y ≤ x, y + 2x ≥ -3, x ≤ 3
17

the area shaded with vertical lines is the solution set of the inequalities;
Одговорити
(C)
y ≤ x, y ≤ 2x - 3, x ≤ 3
18

In the diagram above, O is the center of the circle with radius 10cm, and ∠ABC = 30°. Calculate, correct to 1 decimal place, the length of arc AC [Take π = 22/7]
Одговорити
(B)
10.5cm
19
Factorize x\(^2\) + 4x - 192
Одговорити
(C)
(x-12) (x+16)
20
Factorize 2e\(^2\) - 3e + 1
Одговорити
(A)
(2e-1) (e-1)
21
Solve the equation 7y\(^2\) = 3y
Одговорити
(C)
y = 0 or 3/7
22
Find the value of m which makes x\(^2\) + 8 + m a perfect square
Одговорити
(E)
16
23
Solve the equation 2a\(^2\) - 3a - 27 = 0
Одговорити
(E)
-3, 9/2
24
A sector of a circle of radius 7cm has an area of 44cm². Calculate the angle of the sector correct to the nearest degree [Take π = 22/7]
Одговорити
(D)
103^o
25
calculate the surface area of a sphere of radius 7cm [Take π = 22/7]
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(C)
616cm²
26
If the radius of the parallel of latitude 30°N is equal to the radius of the parallel of latitude θ°S, what is the value of θ?
Одговорити
(D)
30^o
27
A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]
Find the total surface area of the container
Одговорити
(D)
528cm²
28
A cylindrical container closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]. What is the volume of the container?
Одговорити
(E)
770cm³
29

In the diagram above, |PQ| = |PR| = |RS| and ∠RPS = 32°. Find the value of ∠QPR
Одговорити
(C)
52^o
30

In the diagram above, WXYZ is a rhombus and ∠WYX = 20°. What is the value of ∠XZY
Одговорити
(E)
70^o
31

In the diagram above PS||RQ, |RQ| = 6.4cm and perpendicular PH = 3.2cm. Find the area of SQR
Одговорити
(C)
10.24cm²
32

Which angle is equal to ∠VWZ?
Одговорити
(A)
∠VXZ
33

Which triangle is equal in area to ΔVWZ
Одговорити
(B)
ΔVYZ
34
In the diagram above, PQRS s a cyclic quadrilateral, ∠PSR = 86^o and ∠QPR = 38^o. Calculate PRQ
Одговорити
(C)
48^o
35
In the diagram below, O is the center of the circle if ∠QOR = 290^o, find the size ∠QPR
Одговорити
(D)
35^o
36

In the diagram above, PQ is a tangent at T to the circle ABT. ABC is a straight line and TC bisects ∠BTO. Find x.
Одговорити
(E)
50^o
37
Which of the sketches above gives a correct method for constructed an angle of 120^o at the point P?
Одговорити
(D)
I and II only
38
Use mathematical table to evaluate (cos40° - sin30°)
Одговорити
(D)
0.2660
39
If the shadow of a pole 7m high is 1/2 its length what is the angle of elevation of the sun, correct to the nearest degree?
Одговорити
(B)
63^o
40
From the top of a building 10m high, the angle of depression of a stone lying on the horizontal ground is 69^o. Calculate ,correct to one decimal place, the distance of the stone from the foot of the building
Одговорити
(B)
3.8m
41
The bearing of a point X from a point Y is 074°. What is the bearing of Y from X?
Одговорити
(D)
254^o
42

The annual salary of Mr. Johnson Mohammed for 1989 was N12,000.00. He spent this on agriculture projects, education of his children, food items, saving , maintenance and miscellaneous items as shown in the pie chart

How much money did he invest in agriculture?
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(E)
N4,000.00
43

The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school. What is the mode?
Одговорити
(D)
N12
44

The table shows that the amount of money (in naira)collected through voluntary donations in a secondary school.
What is the median of distribution
Одговорити
(C)
N12.00
45
Two groups of male students cast their votes on a particular proposal. The result are as follows:

In favor Against

Group A 128 32

Group B 96 48

If a student in favor of the proposal is selected for a post, what is the probability that he is from group A?
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(A)
8/19

	In favor	Against
Group A	128	32
Group B	96	48