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1990 - WAEC Mathematics Past Questions and Answers - page 2

11

Find the values of x for which y = 5

A
-2.5, 2.0
B
-2.6, 2.1
C
-2.0, 1.5
D
-2.0, 2.0
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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]

A
70o
B
84o
C
96o
D
156o
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13

Find the sum of the first five terms of the G.P 2,6, 18 ....

A
484
B
243
C
242
D
130
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14

Let J be the set of positive integers, If H = {x: x∈J, x\(^2\) < 3 and x ≠ 0}, then

A
H = {1}
B
H is an infinite set
C
H = {0, 1, 2}
D
H = {}
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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?

A
15
B
30
C
35
D
45
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16

The area shaded with horizontal lines is the solution set of the inequalities;

A
y ≥ x, y + 3 ≥ 2x, x ≤ 3
B
y ≤ x, y + 2x ≥ -3, x ≤ 3
C
y ≤ -x, y + 2x ≤ 3, x ≥ -3
D
y ≥ -x, y + 3 ≤ 2x, x ≥ -3
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17

the area shaded with vertical lines is the solution set of the inequalities;

A
y ≤ x, y + 2x ≤ -3
B
y ≥ x, y + 2x ≥ - 3
C
y ≤ x, y < 2x - 3, x ≤ 3
D
y ≤ -x, y ≤ 2x - 3, x ≤ 3
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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]

A
5.2cm
B
10.5cm
C
13.2cm
D
20.6cm
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19

Factorize x\(^2\) + 4x - 192

A
(x-4) (x+48)
B
(x-48) (x+4)
C
(x-12) (x+16)
D
(x-12) (x-16)
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20

Factorize 2e\(^2\) - 3e + 1

A
(2e-1) (e-1)
B
(e+1) (2e+1)
C
(2e+3) (e+2)
D
(2e-3) (e-1)
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