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Mathematics Past Questions

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

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50 questions

Question 1 of 20 50 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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