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Mathematics Past Questions

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

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63 questions

Question 1 of 20 63 total questions

Question 11

waec 1998

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50o. Use the diagram to answer question below. (take π = 3.142)
Calculate, correct to three significant figures, the area of sector OPQ

A3.403cm²

B5.350cm²

C10.99cm²

D157.1cm²

E175.0cm²

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Question 12

waec 1998

In the diagram O is the center of circle PRQ. The radius is 3.5cm and ∠POQ = 50^o. Use the diagram to answer question below. (take π = 3.142)
Calculate correct to one decimal place, the length of arc PQ.

A175.0cm

B157.1cm

C37.7cm

D11.0cm

E3.1cm

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Question 13

waec 1998

In the diagram PQ is a diameter of circle PMQN center O, if ∠PQM = 63o, find ∠MNQ

A58.5^o

B44^o

C35^o

D31.5^o

E27^o

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Question 14

waec 1998

If the exterior angles of quadrilateral are y^o, (y + 5)^o, (y + 10)^o and (y + 25)^o, find y

A10^o

B20^o

C40^o

D60^o

E80^o

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Question 15

waec 1998

In the diagram, O is the center of the circle and the reflex angle ROS is 264^o. Find ∠RTS

A48^o

B53^o

C66^o

D132^o

E192^o

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Question 16

waec 1998

Two chords PQ and RS of a circle intersected at right angles at a point inside the circle. If ∠QPR = 35^o,find ∠PQS

A35^o

B45^o

C55^o

D70^o

E90^o

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Question 17

waec 1998

A chord of circle of radius 26cm is 10cm from the center of the circle. calculate the length of the chord

A16cm

B27.86cm

C32cm

D48cm

E55.72cm

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Question 18

waec 1998

A ladder 5cm long long rest against a wall such that its foot makes an angle 30o with the horizontal. How far is the foot of the ladder from the wall?

A\(\frac{5\sqrt{2}}{3}m\)

B\(2\frac{1}{2}m\)

C\(\frac{5\sqrt{3}}{2}m\)

D\(\frac{10\sqrt{3}}{3}m\)

E\(10\sqrt{3}m\)

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Question 19

waec 1998

Find the value of X if \(cos x = \frac{5}{8}\) for \(0^o\le X\le 180^o\)

A141.3^o

B128.7^o

C51.3^o

D48.7^o

E38.7^o

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Question 20

waec 1998

In \(sin(X+30)^o=cos40^o\),find X

A10^o

B20^o

C50^o

D60^o

E90^o

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Question 21

waec 1998

In the diagram, PQ||SR. Find the value of Z

A30^o

B40^o

C45^o

D90^o

E120^o

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Question 22

waec 1998

In ∆PQR. ∠PQR is a right angle. |QR| = 2cm and ∠PRQ = 60o. Find |PR|

A4√3cm

B4cm

C2√3cm

D\(\frac{4}{3}cm\)

E1cm

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Question 23

waec 1998

A box contain 2 white and 3 blue identical balls. If two balls are picked at random, one after the other, without replacement, what is the probability of picking two balls of different colours?

A\(\frac{5}{25}\)

B\(\frac{7}{20}\)

C\(\frac{3}{5}\)

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

E\(\frac{5}{6}\)

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Question 24

waec 1998

The values of x when y = -1 are approximately

A-10 and 2.0

B-1.3 and 2.3

C-0.6 and 2.6

D-0.6 and 1.6

E1.6 and 1.6

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Question 25

waec 1998

The graph is that of the quadratic expression

A\(y=x^2 + x - 2\)

B\(y=x^2 - x + 2\)

C\(y=x^2 - x - 2\)

D\(y=x + x + 2\)

E\(y=x^2 - 2 x - 2\)

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Question 26

waec 1998

In the diagram above, the area of triangle ABC is 35cm\(^2\). Find the value of y

A5cm

B10cm

C17.5cm

D28cm

E70cm

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Question 27

waec 1998

A die with faces numbered 1 to 6 is rolled once. What is the probability of obtaining 4?

A\(\frac{1}{36}\)

B\(\frac{1}{6}\)

C\(\frac{1}{3}\)

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

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

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Question 28

waec 1998

The following numbers represent at a set of scores for a class of 32 students, where the maximum score possible was 12, 6, 5, 9, 4, 4, 8, 7, 5, 6, 3, 2, 5, 4, 6, 9, 10, 4, 3, 2, 3, 4, 6, 8, 7, 4, 2, 1, 8, 7, 7, 6, 11. What is the percentage of the class, correct to the nearest whole number, scored above 6?

A34%

B35%

C37%

D36%

E38%

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Question 29

waec 1998

Express as a single fraction: \(\frac{x}{x-2}-\frac{x+2}{x+3}\)

A\(\frac{2x^2 - 3x - 4}{(x-2)(x+3)}\)

B\(\frac{2x^2 + 3x - 4}{(x-2)(x+3)}\)

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

D\(\frac{ 3x + 4}{(x-2)(x+3)}\)

E\(\frac{3x - 4}{(x-2)(x+3)}\)

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Question 30

waec 1998

In the diagram above, O is the center if the two concentric circle of radii 13cm and 10cm respectively. Find the area of the shaded portion in the sector with angle 120° at the center

A\(\frac{1}{3}\pi cm^2\)

B\(\pi cm^2\)

C\(3\pi cm^2\)

D\(23\pi cm^2\)

E\(46\pi cm^2\)

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