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Mathematics Past Questions

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

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135 questions

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Question 31

waec 2004

Find the sum of the roots of the equation 2x² + 3x - 9 = 0

A-18

B-6

C\(-\frac{9}{2}\)

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

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Question 32

waec 2004

What is the volume of a solid cylinder of diameter 7cm and height 7cm? (Take \(\pi = \frac{22}{7}\))

A38.5cm³

B77cm³

C269.5cm³

D1078cm³

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Question 33

waec 2004

Factorise 27p²x² - 48y².

A9(3px - 4y)²

B3(3px - 4y)(3px - 4y)

C9(px - 4y)(3p x + 4y)

D3(3px -4y)(3px +4y)

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Question 34

waec 2004

In the diagram, ∆XYZ is similar to ∆PRQ, |XY| = 5cm, |XZ| =3.5cm and |PR| = 8cm. Find |PQ|

A5.6 cm

B11.2cm

C11.4cm

D28.0cm

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Question 35

waec 2004

Find, correct to two decimal places, the mean of 9, 13, 16, 17, 19, 23, 24.

A23.00

B17.29

C16.50

D16.33

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Question 36

waec 2004

Solve the equation 10-3x-x² = 0

Ax=2 or-5

Bx= -2 or 5

Cx = 1 or 10

Dx = 2 or 5

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Question 37

waec 2004

Each interior angle of a regular polygon is 108°. How many sides has it?

D14

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Question 38

waec 2004

Find the next two terms of the sequence
1, 5, 14, 30, 55, ...

A61,110

B67,116

C81,140

D91, 140

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Question 39

waec 2004

lf \(log_q p= r\), express p in terms of q and r

Ap =qr

Bp =r^q

C\(p = \frac{r}{q}\)

Dp=q^r

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Question 40

waec 2004

If \(\frac{x}{a+1}+\frac{y}{b}\) 1. Make y the subject of the relation

A\(\frac{b(a-x+1)}{a+1}\)

B\(\frac{a+1}{b(a-x+1)}\)

C\(\frac{a(b-x+1)}{b+1}\)

D\(\frac{b}{a(b-x+1)}\)

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Question 41

waec 2004

Calculate the total surface area of a cupboard which measures 12cm by 10cm by 8cm

A1920cm²

B592cm²

C296cm²

D148cm²

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Question 42

waec 2004

If \(\left(\frac{1}{4}\right)^{(2-y)} = 1\), find y.

A-2

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

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

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Question 43

waec 2004

In the diagram, POQ is the diameter of the circle centre O. Calculate ∠QRS

A35^o

B70^o

C100^o

D125^o

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Question 44

waec 2004

Given that x + y = 7 and 3x-y = 5, evaluate \(\frac{y}{2}-3\).

A-1

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Question 45

waec 2004

Find the area of a rectangle of length 4cm and whose diagonal is 8cm, (Leave your answer in surd form)

A8√3cm²

B12√3cm²

C16√2cm²

D16√3cm²

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Question 46

waec 2004

The angle of elevation of the top of a tower from a point on the ground which is 36m away from the foot of the tower is 30^o. Calculate the height of the tower.

A62.35m

B20.78m

C18.00m

D10.39m

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Question 47

waec 2004

Simplify \(7\frac{1}{2}-\left(2\frac{1}{2}+3\right)\div16\frac{1}{2}\)and correct your answer to the nearest whole number

A33

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Question 48

waec 2004

There are m boys and 12 girls in a class. What is the probability of selecting at random a girl from the class?

A\(\frac{m}{12}\)

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

C\(\frac{12}{m+12}\)

D\(\frac{12}{m-12}\)

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Question 49

waec 2004

Find the value of x in the diagram

A10^o

B28^o

C36^o

D44^o

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Question 50

waec 2004

In the diagram, R\(\hat{P}\)Q = Q\(\hat{R}\)Y, P\(\hat{Q}\)R = R\(\hat{Y}\)Q, |QP| = 8 cm, |QY| = 4 cm, and |RY| = 5 cm. Find |QR|.

A2.0cm

B2.5cm

C6.4cm

D10.0cm

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