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Mathematics Past Questions

Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.

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

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111 questions

Question 1 of 20 111 total questions

Question 11

waec 2018

The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30\(^o\). Find the height of the tree.

A27m

B13.5 \(\sqrt{3m}\)

C13.5 \(\sqrt{2m}\)

D9\(\sqrt{3m}\)

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Question 12

waec 2018

Expression 0.612 in the form \(\frac{x}{y}\), where x and y are integers and y \(\neq\) 0

A\(\frac{153}{250}\)

B\(\frac{68}{111}\)

C\(\frac{61}{100}\)

D\(\frac{21}{33}\)

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Question 13

waec 2018

If x : y = \(\frac{1}{4} : \frac{3}{8}\) and y : z = \(\frac{1}{3} : \frac{4}{9}\), find x : z

A2:3

B3:4

C3:8

D1:2

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Question 14

waec 2018

Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16

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Question 15

waec 2018

If 3x\(^o\) 4(mod 5), find the least value of x

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Question 16

waec 2018

Find the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...

A2\(^n\) x 3(n + 1)

B2\(^n\) x 3n

C2\(^n\) x 3\(^n\)

D2\(^n\) x 3\(^n - 1\)

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Question 17

waec 2018

Factorise completely the expression

\((x + 2)^2\) - \((2x + 1)^2\)

A(3x + 2)(1 - x)

B(3x + 2)(2x + 1)

C3\((x + 2)^2\)

D3(x + 1)(1 - x)

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Question 18

waec 2018

Solved the equation \(2x^2 - x - 6\) = 0

Ax = \(\frac{-3}{2}\) or 2

Bx = -2 or \(\frac{3}{2}\)

Cx = -3 or 2

Dx = 3 or -2

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Question 19

waec 2018

Find the value of x for which \(\frac{x - 5}{x(x - 1)}\) is undefined.

A0 or 5

B-5 or 5

C-11 or 5

D0 or 1

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Question 20

waec 2018

The total surface area of a hemispher is 75\(\pi cm^2\). Find the radius.

A5.0 cm

B7.0 cm

C8.5 cm

D12.0 cm

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Question 21

waec 2018

The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at random scored at most 3 goals.

A\(\frac{3}{25}\)

B\(\frac{1}{5}\)

C\(\frac{6}{25}\)

D\(\frac{2}{5}\)

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Question 22

waec 2018

The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at randon scored either 4 or 7 goals.

A\(\frac{9}{25}\)

B\(\frac{1}{5}\)

C\(\frac{6}{25}\)

D\(\frac{2}{5}\)

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Question 23

waec 2018

The mean of 1, 3, 5, 7 and x is 4. Find the value of x

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Question 24

waec 2018

The equation of the line through the points (4,2) and (-8, -2) is 3y = px + q, where p and q are constants. Find the value of p.

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Question 25

waec 2018

If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|

A8 units

B11 units

C15 units

D17 units

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Question 26

waec 2018

The angles of a polygon are x, 2x, 2x, (x + \(30^o\)), (x + \(20^o\)) and (x - \(10^o\)). Find the value of x

A\(45^o\)

B\(84^o\)

C\(85^o\)

D\(95^o\)

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Question 27

waec 2018

The surface area of a sphere is \(\frac{792}{7} cm^2\). Find, correct to the nearest whole number, its volume. [Take \(\pi = \frac{22}{7}\)]

A113\(cm^3\)

B131\(cm^3\)

C311\(cm^3\)

D414\(cm^3\)

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Question 28

waec 2018

The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of the tank. [Take \(\pi = \frac{22}{7}\)]

A14m

B10m

C5m

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Question 29

waec 2018

A curve is such that when y = 0, x = -2 or x = 3. Find the equation of the curve.

Ay = \(x^2 - 5x - 6\)

By = \(x^2 + 5x - 6\)

Cy = \(x^2 + x - 6\)

Dy = \(x^2 - x - 6\)

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Question 30

waec 2018

Simplify; \(\frac{2 - 18m^2}{1 + 3m}\)

A\(2 (1 + 3m)\)

B\(2 (1 + 3m^2)\)

C\(2(1 - 3m)\)

D\(2(1 - 3m^2)\)

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