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Mathematics Past Questions

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

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96 questions

Question 1 of 20 96 total questions

Question 11

waec 2013

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

A15

B12

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Question 12

waec 2013

Express \(\frac{2}{x + 3} - \frac{1}{x - 2}\) as a simple fraction

A\(\frac{x - 7}{x^2 + x - 6}\)

B\(\frac{x - 1}{x^2 + x - 6}\)

C\(\frac{x - 2}{x^2 + x - 6}\)

D\(\frac{x - 27}{x^2 + x - 6}\)

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Question 13

waec 2013

When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number

A11

B\(\frac{15}{2}\)

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

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Question 14

waec 2013

What is the locus of the point X which moves relative to two fixed points P and M on a plane such that < PXM = 30^o

Athebisector of the straight line joining P and M

Ban arc of a circle with PM as a chord

Cthe bisector of angle PXM

Da circle centre X and radius PM

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Question 15

waec 2013

The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k

Azero

B-2

C-4

D-8

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Question 16

waec 2013

If y varies directly as the square root of (x + 1) and y = 6 when x = 3, find x when y = 9

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Question 17

waec 2013

Find the values of k in the equation 6k² = 5k + 6

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

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

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

D{\(\frac{2}{3}, \frac{3}{2}\)}

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Question 18

waec 2013

If p = (y : 2y \(\geq\) 6) and Q = (y : y -3 \(\leq\) 4), where y is an integer, find p\(\cap\)Q

A{3, 4}

B{3, 7}

C{3, 4, 5, 6, 7}

D{4, 5, 6}

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Question 19

waec 2013

If 2 log x (3\(\frac{3}{8}\)) = 6, find the value of x

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

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

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

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

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Question 20

waec 2013

Which of the following is not a probability of Mary scoring 85% in a mathematics test?

A0.15

B0.57

C0.94

D1.01

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Question 21

waec 2013

The bearing of Y from X is 060º and the bearing of Z from Y = 060º. Find the bearing of X from Z

A300^o

B240^o

C180^o

D120^o

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Question 22

waec 2013

An object is 6m away from the base of a mast. The angle of depression of the object from the top pf the mast is 50^o, Find, correct to 2 decimal places, the height of the mast

A8.60m

B7.51m

C7.15m

D1.19m

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Question 23

waec 2013

If sin x = \(\frac{5}{13}\) and 0^o \(\leq\) x \(\leq\) 90^o, find the value of (cos x - tan x)

A\(\frac{7}{13}\)

B\(\frac{12}{13}\)

C\(\frac{79}{156}\)

D\(\frac{209}{156}\)

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Question 24

waec 2013

A cube and cuboid have the same base area. The volume of the cube is 64cm\(^3\) while that of the cuboid is 80cm\(^3\). Find the height of the cuboid

A1cm

B3cm

C5cm

D6cm

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Question 25

waec 2013

A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord

A2\(\sqrt{21}\)cm

B\(\sqrt{42}\)cm

C2\(\sqrt{19}\)cm

D\(\sqrt{21}\)cm

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Question 26

waec 2013

Given that \(p^{\frac{1}{3}}\) = \(\frac{\sqrt[3]{q}}{r}\), make q the subject of the equation

Aq = p\(\sqrt{r}\)

Bq = p³r

Cq = pr³

Dq = pr^{\(\frac{1}{3}\)}

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Question 27

waec 2013

If \(\frac{1}{2}\)x + 2y = 3 and \(\frac{3}{2}\)x - 2y = 1, find (x + y)

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Question 28

waec 2013

If x = 64 and y = 27, evaluate: \(\frac{x^{\frac{1}{2}} - y^{\frac{1}{3}}}{y - x^{\frac{2}{3}}}\)

A2\(\frac{1}{5}\)

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

D\(\frac{11}{43}\)

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Question 29

waec 2013

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

Ax > 0

Bx < \(\frac{1}{4}\)

Cx > 2\(\frac{1}{2}\)

Dx < 2\(\frac{1}{4}\)

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Question 30

waec 2013

Simplify: \(\frac{x^2 - y^2}{(x + y)^2} \div \frac{(x - y)^2}{(3x + 3y)}\)

A\(\frac{x - y}{3}\)

Bx + y

C\(\frac{3}{x - y}\)

Dx - y

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