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Mathematics Past Questions

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

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147 questions

Question 1 of 20 147 total questions

Question 11

waec 2023

The bar chart represents the distribution of marks scored by students in an economics examination. Use the bar chart to answer questions 30 to 32

If the failed mark was 4, what is the probability that a student selected at random passed?

A0.36

B0.74

C0.52

D0.64

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Question 12

waec 2023

The truth set of \(8 + 2x - x^2\) = 0 is {p, q}. Evaluate p + q.

C-6

D-2

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Question 13

waec 2023

A bag contains 4 white marbles and 3 blue marbles. Another bag contains 5 red and 6 blue marbles. If a marble is picked at random from each bag, find the probability that they are of the same colour.

A\(\frac{9}{11}\)

B\(\frac{18}{77}\)

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

D\(\frac{11}{12}\)

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Question 14

waec 2023

A line L passing through the point (6, -13) is parallel to the line which passes through (7, 4) and (-3, 9). Find the equation of the line L.

Ay = \(\frac{1}{2}x - 10\)

By = \(\frac{-1}{2}x + 10\)

Cy = \(\frac{-1}{2}x - 10\)

Dy = \(\frac{1}{2}x +10\)

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Question 15

waec 2023

John was facing S35°E. If he turned 90° in the anticlockwise direction, find his new direction.

AS55°E.

BS35°W.

CN55°E.

DN35°W.

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Question 16

waec 2023

A number is chosen at random from 40 and 50 inclusive. Find the probability that the number is prime.

A\(\frac{8}{11}\)

B\(\frac{3}{11}\)

C\(\frac{4}{11}\)

D\(\frac{5}{11}\)

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Question 17

waec 2023

Arrange the following in ascending order of magnitude \(110_{two}, 31_{eight}, 42_{five}\)

A\(110_{two}, 31_{five}, 42_{eight}\)

B\(42_{five}, 110_{two}, 31_{eight}\)

C\(42_{five}, 31_{eight}, 110_{two}\)

D\(110_{two}, 42_{five}, 31_{eight}\)

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Question 18

waec 2023

An empty cylindrical tank is 140 cm in diameter. If 200 litres of water was poured into the tank. Calculate, correct to the nearest centimeter, the height of the water in the tank. (\(Take \pi = \frac{22}{7})\)

A91cm

B7cm

C13cm

D57cm

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Question 19

waec 2023

make x the subject of the relation \(y = \frac{ax^3 - b}{3z}\)

Ax = \(\sqrt[3] \frac{ax^3 - b}{3z}\)

Bx = \(\sqrt[3] \frac{3yz - b}{a}\)

Cx = \(\sqrt[3] \frac{3yz + b}{a}\)

Dx = \(\sqrt[3] \frac{3yzb}{a}\)

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Question 20

waec 2023

m:n = \(2\frac{1}{3} : 1\frac{1}{5}\) and n : q = \(1\frac{1}{2} : 1\frac{1}{3}\), find q : m.

A35 : 18

B16 : 35

C18 : 35

D35 : 16

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Question 21

waec 2023

The radius of a sphere is 3 cm. Find, in terms of π, its volume.

A\(30\pi cm^3\)

B\(108\pi cm^3\)

C\(27\pi cm^3\)

D\(36\pi cm^3\)

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Question 22

waec 2023

Find the value of a in the equation: cos (a + 14)° = sin (4a + 6)°

A15

B17

C14

D21

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Question 23

waec 2023

The radius and height of a solid cylinder is 8 cm and 14 cm respectively. Find, correct to two d.p the total surface area.
(Take \(\pi = \frac{22}{7})\)

A\(1,106.29cm^2\)

B\(1,016.29cm^2\)

C\(1,106.89cm^2\)

D\(1,206.27cm^2\)

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Question 24

waec 2023

A student measured the height of a pole as 5.98 m which is less than the actual height. If the percentage error is 5%, find correct to two d.p the actual height of the pole.

A6.29m

B7.67m

C7.18m

D6.65m

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Question 25

waec 2023

Find the roots of the equations: 3m\(^2\) - 2m - 65 = 0

A\(( -5, \frac{-13}{3})\)

B\(( 5, \frac{-13}{3})\)

C\(( 5, \frac{13}{3})\)

D\(( -5, \frac{13}{3})\)

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Question 26

waec 2023

Solve \(2^{5x} \div 2^x = \sqrt[5]{2^{10}}\)

A\(\frac{3}{2}\)

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

C\(\frac{1}{3}\)

D\(\frac{5}{3}\)

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Question 27

waec 2023

The interior angle of a regular polygon is 6 times its exterior angle find the number of sides of the polygon.

A12

B15

C10

D14

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Question 28

waec 2023

Evaluate, correct to three decimal place \(\frac{4.314 × 0.000056}{0.0067}\)

A0.037

B0.004

C0.361

D0.036

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Question 29

waec 2023

Express \(413_7\) to base 5

A\(2311_5\)

B\(1131_5\)

C\(1311_5\)

D\(2132_5\)

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Question 30

waec 2023

For what value of x is \(\frac{ x^2 + 2 }{ 10x^2 - 13x - 3}\) is undefined?.

A\(\frac{1}{5}, \frac{3}{2}\)

B\(\frac{-1}{5}, \frac{3}{2}\)

C\(\frac{1}{5}, \frac{-3}{2}\)

D\(\frac{-1}{5}, \frac{-3}{2}\)

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