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Mathematics Past Questions

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

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Past Questions

97 questions

Question 1 of 20 97 total questions

Question 11

waec 1992

In the diagram above, PQT is an isosceles triangle.|PQ| = |QT|, ∠SRQ = 75°, ∠QPT = 25° and PQR is straight line. Find ∠RST

A20^o

B50^o

C55^o

D70^o

E75^o

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Question 12

waec 1992

A regular polygon has each of its exterior angles as 18^o. How many sides has the polygon

A10

B11

C12

D20

E24

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Question 13

waec 1992

Find the value of t in the diagram above

A5.6cm

B6.5cm

C6.6cm

D6.8cm

E7.0cm

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Question 14

waec 1992

The angles marked in the diagram above are measured in degrees. Find x

A15^o

B24^o

C30^o

D36^o

E48^o

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Question 15

waec 1992

In the diagram above, ML//PQ and NP//QR, if ∠LMN = 40° and ∠MNP = 55°. Find ∠QPR

A15^o

B25^o

C35^o

D40^o

E55^o

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Question 16

waec 1992

In the diagram above, O is the center of the circle QOR is a diameter and ∠PSR is 37°. Find ∠PRQ

A37^o

B53^o

C65^o

D127^o

E147^o

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Question 17

waec 1992

In the diagram above, O is the center of the circle PQRS and ∠QPS = 36°. Find ∠QOS

A36^o

B72^o

C108^o

D144^o

E288^o

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Question 18

waec 1992

In the diagram above, TR = TS and ∠TRS = 60^o. Find the value of x

A30

B45

C60

D120

E150

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Question 19

waec 1992

In the diagram above, O is the center of the circle and ∠POR = 126°. Find ∠PQR

A234^o

B117^o

C72^o

D63^o

E54^o

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Question 20

waec 1992

In the diagram above PQT is a tangent to the circle QRS at Q. Angle QTR = 48° and ∠QRT = 95°. Find ∠QSR

A48^o

B45^o

C37^o

D32^o

E30^o

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Question 21

waec 1992

The diagram above shows the shaded segment of a circle of radius 7cm. if the area of the triangle OXY is 12\(\frac{1}{4}\)cm\(^2\), calculate the area of the segment
[Take π = 22/7]

A5/12cm²

B7/12cm²

C11/6cm²

D2 1/3cm²

E6 1/6cm²

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Question 22

waec 1992

The area of a parallelogram is 513cm\(^2\) and the height is 19cm. Calculate the base.

A13.5cm

B25cm

C27cm

D54cm

E108cm

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Question 23

waec 1992

The volume of a cone of height 9cm is 1848cm\(^3\). Find its radius. [Take π = 22/7]

A7cm

B14cm

C28cm

D98cm

E196cm

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Question 24

waec 1992

The curved surface area of a cylindrical tin is 704cm\(^2\). Calculate the height when the radius is 8cm. [Take π = 22/7]

A3.5cm

B7cm

C14cm

D28cm

E32cm

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Question 25

waec 1992

The angle of a sector of a circle of radius 8cm is 240°. This sector is bent to form a cone. Find the radius of the base of the cone.

A16/3cm

B15/3cm

C16/5cm

D8/3cm

E16/10cm

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Question 26

waec 1992

Solve the equation \(\frac{m}{3} + \frac{1}{2} = \frac{3}{4} + \frac{m}{4}\)

A-3

B-2

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Question 27

waec 1992

What must be added to the expression x\(^2\) - 18x to make it a perfect square?

C36

D72

E81

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Question 28

waec 1992

Write as a single fraction \(\frac{1}{1 - x} + \frac{2}{1 + x}\)

A\(\frac{x + 3}{1 - x^2}\)

B\(\frac{3 - x}{(1 - x)^2}\)

C\(\frac{3 - x}{1 + x^2}\)

D\(\frac{3 - x}{(1 + x)^2}\)

E\(\frac{3 - x}{1 - x^2}\)

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Question 29

waec 1992

Construct a quadratic equation whose roots are \(-\frac{1}{2}\) and 2.

A3x²-3x+2=0

B3x²+3x-2=0

C2x²+3x-2=0

D2x²-3x+2=0

E2x²-3x-2=0

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Question 30

waec 1992

Factorize the expression 2y\(^2\) + xy - 3x\(^2\)

A2y (y + x) - 3x²

B(2y - x)(2y + x)

C(3x - 2y(x - y)

D(2y + 3x)(y - x)

E(x – y)(2y + 3x)

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