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Mathematics Past Questions

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91 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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91 questions

Question 1 of 20 91 total questions

Question 11

waec 1990

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

A35cm²

B154cm²

C220cm²

D528cm²

E770cm²

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Question 12

waec 1990

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?

A75^o

B60^o

C45^o

D30^o

E0^o

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Question 13

waec 1990

calculate the surface area of a sphere of radius 7cm [Take π = 22/7]

A86cm²

B154cm²

C616cm²

D1434cm²

E4312cm²

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Question 14

waec 1990

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]

A6^o

B26^o

C52^o

D103^o

E206^o

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Question 15

waec 1990

Solve the equation 2a\(^2\) - 3a - 27 = 0

A3/2, 9

B-2/3, 9

C3, 9/2

D-3, -9/2

E-3, 9/2

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Question 16

waec 1990

Find the value of m which makes x\(^2\) + 8 + m a perfect square

D12

E16

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Question 17

waec 1990

Solve the equation 7y\(^2\) = 3y

Ay = 3 or 7

By = 0 or 7

Cy = 0 or 3/7

Dy = 0 or 9

Ey = 0 or 10

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Question 18

waec 1990

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)

E(e²-3(2e-1)

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Question 19

waec 1990

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)

E(x+12) (x+16)

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Question 20

waec 1990

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]

A5.2cm

B10.5cm

C13.2cm

D20.6cm

E31.4cm

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Question 21

waec 1990

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

Ay ≤ x, y + 2x ≤ -3

By ≥ x, y + 2x ≥ - 3

Cy ≤ x, y ≤ 2x - 3, x ≤ 3

Dy ≤ -x, y ≤ 2x - 3, x ≤ 3

Ey ≥ x, y + 2x ≥ 3, x ≤ 3

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Question 22

waec 1990

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

Ay ≥ x, y + 3 ≥ 2x, x ≤ 3

By ≤ x, y + 2x ≥ -3, x ≤ 3

Cy ≤ -x, y + 2x ≤ 3, x ≥ -3

Dy ≥ -x, y + 3 ≤ 2x, x ≥ -3

Ey ≤ x, y ≤ 2x - 3, x ≥ 3

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Question 23

waec 1990

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?

A15

B30

C35

D45

E50

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Question 24

waec 1990

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

AH = {1}

BH is an infinite set

CH = {0, 1, 2}

DH = {}

EJ ≤ H

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Question 25

waec 1990

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

A484

B243

C242

D130

E121

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Question 26

waec 1990

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]

A70^o

B84^o

C96^o

D156^o

E168^o

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Question 27

waec 1990

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

E0, 0

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Question 28

waec 1990

From the graph determine the roots of the equation y = 2x\(^2\) + x - 6

A-3, 4

B-2, -6

C-2, 1.5

D-1, 1

E2, 1.5

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Question 29

waec 1990

Find the 4th term of an A.P, whose first term is 2 and the common difference is 0.5

A0.5

B2.5

C3.5

E4.5

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Question 30

waec 1990

While doing his physics practical, Idowu recorded a reading as 1.12cm instead of 1.21cm. Calculate his percentage error

A1.17%

B6.38%

C7.44%

D8.035%

E9.00%

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