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Mathematics Past Questions

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

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Past Questions

94 questions

Question 1 of 20 94 total questions

Question 1

waec 1995

From a box containing 2 red, 6 white and 5 black balls, a ball is randomly selected. What is the probability that the selected ball is black?

A2/13

B5/13

C5/11

D5/6

E11/13

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Question 2

waec 1995

Two fair dice are tossed together once. Find the probability that the sum of the outcome is at least 10.

A1/12

B5/ 36

C1/ 6

D1/4

E5/18

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Question 3

waec 1995

Find the median of the following numbers 2.64, 2.50, 2.72, 2.91 and 2.35.

A2.91

B2.72

C2.64

D2.50

E2.35

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Question 4

waec 1995

The mean of 20 observations in an experiment is 4, lf the observed largest value is 23, find the mean of the remaining observations.

C2.85

D2.60

E2.56

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Question 5

waec 1995

What is the mode of the numbers 8, 10, 9, 9, 10, 8, 11, 8, 10, 9, 8 and 14?

C10

D11

E14

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Question 6

waec 1995

The bearing of two points Q and R from a point P are 030° and 120° respectively, lf /PQ/ = 12 m and /PR/ = 5 m, find the distance QR.

A13m

B11m

C9m

D7m

E5m

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Question 7

waec 1995

In the diagram above, ∠PRQ = 90°, ∠QPR = 30° and /PQ/ = 10 cm. Find y.

A6cm

B5cm

C4cm

D3cm

E2cm

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Question 8

waec 1995

Without using tables, find the value of \(\frac{\sin 20°}{\cos 70°} + \frac{\cos 25°}{\sin 65°}\)

D-1

E-2

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Question 9

waec 1995

In ΔABC above, BC is produced to D, /AB/ = /AC/ and ∠BAC = 50^o. Find ∠ACD

A50^o

B60^o

C65^o

D100^o

E115^o

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Question 10

waec 1995

Which of the following angles is an exterior angle of a regular polygon?

A95^o

B85^o

C78^o

D75^o

E72^o

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Question 11

waec 1995

In the diagram above, the value of angles b + c is

A180^o

B90^o

C45^o

Da^o

Ed^o

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Question 12

waec 1995

The locus of a point which is equidistant from two given fixed points is the

Aperpendicular bisector of the straight line joining them

Bangle bisector of the straight lines joining the points to the origin

Cperpendiculars to the straight line joining them

Dparallel-line to the straight line joining them

Ea line making an acute angle with the line joining the two points

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Question 13

waec 1995

In the diagram above, AB//CD. What is the size of the angle marked x?

A103^o

B93^o

C77^o

D62^o

E52^o

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Question 14

waec 1995

In the diagram above, AB//CD, the bisector of ∠BAC and ∠ACD meet at E. Find the value of ∠AEC

A30^o

B45^o

C60^o

D75^o

E90^o

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Question 15

waec 1995

If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?

AO.117

B0.118

C0.903

DO.944

E0.946

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Question 16

waec 1995

In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.

A136^o

B120^o

C108^o

D100^o

E96^o

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Question 17

waec 1995

In the diagram above, AO is perpendicular to OB. Find x

A7.5^o

B15^o

C22.5^o

D30^o

E38.6^o

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Question 18

waec 1995

In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.

A20^o

B25^o

C30^o

D35^o

E40^o

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Question 19

waec 1995

The angle of a sector of a circle is 108°. If the radius of the circle is 3\(\frac{1}{2}\)cm, find the perimeter of the sector

A6 \(\frac{3}{5}\)cm

B6 \(\frac{4}{5}\)cm

C7 \(\frac{1}{10}\)cm

D10 \(\frac{2}{5}\)cm

E13 \(\frac{3}{5}\)cm,

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Question 20

waec 1995

A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?

A3¹/₂cm

B7cm

C1O¹/₂cm

D14cm

E21cm

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