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Mathematics Past Questions

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

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Past Questions

48 questions

Question 1 of 20 48 total questions

Question 11

waec 2025

The positions of two countries, P and Q, are (15ºN, 12ºE) and (65ºN, 12ºE) respectively. What is the difference in latitude?

A50°

B104°

C80°

D100°

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Question 12

waec 2025

The diagram above shows a cone with the dimensions of its frustum indicated. Calculate the height of the cone.

A24 cm

B15 cm

C8 cm

D12 cm

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Question 13

waec 2025

A hollow sphere has a volume of k cm\(^3\) and a surface area of k cm\(^2\). Calculate the diameter of the sphere.

A3 cm

B9 cm

CMore information needed.

D6 cm

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Question 14

waec 2025

A water tank of height \(\frac{1}{2}\) m has a square base of side 1 \(\frac{1}{2}\)m. If it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1 m\(^3\)]

A375 litres

B3750 litres

C37.5 litres

D37500 litres

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Question 15

waec 2025

Find the total surface area of a solid circular cone with base radius 3 cm and slant height 4 cm. [Take π = \(\frac{22}{7}\)]

A66 cm\(^2\)

B37\(\frac{5}{7}\)cm\(^2\)

C75\(\frac{3}{7}\)cm\(^2\)

D78\(\frac{6}{7}\)cm\(^2\)

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Question 16

waec 2025

A cylindrical container, closed at both ends, has a radius of 7 cm and a height of 5 cm. Use this information to answer the questions below. Find the total surface area of the container.

A35 cm\(^2\)

B528 cm\(^2\)

C154 cm\(^2\)

D220 cm\(^2\)

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Question 17

waec 2025

The diagonals AC and BD of a rhombus ABCD are 16 cm and 12 cm long, respectively. Calculate the area of the rhombus.

A96 cm\(^2\)

B36 cm\(^2\)

C48 cm\(^2\)

D24 cm\(^2\)

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Question 18

waec 2025

Find the roots of the equation y = 3x\(^2\) + x - 7.

A1.4 and -1.7

B2.0 and -1.9

C1.0 and -1.2

D1.1 and -1.3

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Question 19

waec 2025

What is the minimum value of y?

A-7

B-10

C-4

D-1

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Question 20

waec 2025

Which of the following could be the inequality illustrated in the sketch graph above?

Ay ≤ -3x + 3

By ≤ 3x + 2

Cy ≥ -2x + 3

Dy ≤ x + 3

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Question 21

waec 2025

Solve the following simultaneous equations: x + y = \(\frac{3}{2}\), x - y = \(\frac{5}{2}\). And use your result to find the value of 2y + x.

A-2

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

D-1

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Question 22

waec 2025

Solve the equation (x + 2)(x - 7) = 0

A-1 or 8

B-4 or 5

C-3 or 6

D-2 or 7

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Question 23

waec 2025

Solve the equation 3x\(^2\) + 25x - 18 = 0

A-3, 2

B-9, \(\frac{2}{3}\)

C-2, 9

D-2, 3

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Question 24

waec 2025

If y ∝ \(\frac{1}{x^2}\) and x = 3, when y = 4, find y when x = 2

D18

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Question 25

waec 2025

Factorize the expression x(a - c) + y(c - a)

A(a - c)(y - x)

B(a + c)(x + y)

C(a + c)(x - y)

D(a - c)(x - y)

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Question 26

waec 2025

What is the smaller value of x for which x\(^2\) - 3x + 2 = 0 ?

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Question 27

waec 2025

Solve the inequality \(\frac{1}{3}\)(2x - 1) < 5

Ax < -5

Bx < 8

Cx < -6

Dx < 7

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Question 28

waec 2025

Find the values of x for which the expression is undefined: \(\frac{6x - 1}{x^2 + 4x - 5}\)

A+5 or -1

B-5 or +1

C-5 or -1

D+4 or +1

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Question 29

waec 2025

In the diagram above, the shaded portion is

A(P ∪ Q)\(^1\) ∩ R

BP\(^1\) ∩ Q ∩ R

CP\(^1\) ∩ R

DQ\(^1\) ∩ R

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Question 30

waec 2025

If \(\frac{16}{9}\), x, 1, y are in geometric progression (G.P.). Find the product of x and y.

A\(\frac{16}{9}\)

B\(\frac{3}{4}\)

D\(\frac{4}{3}\)

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