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Mathematics Past Questions

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

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48 questions

Question 1 of 20 48 total questions

Question 1

waec 2025

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?

A\(\frac{5}{13}\)

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

C\(\frac{2}{13}\)

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

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Question 2

waec 2025

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

A2.50

B2.64

C2.91

D2.72

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Question 3

waec 2025

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

B2.60

C2.85

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Question 4

waec 2025

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

D-1

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Question 5

waec 2025

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

A11 m

B13 m

C9 m

D7 m

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Question 6

waec 2025

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

C10

D11

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Question 7

waec 2025

In the diagram above, < PRQ = 90º, < QPR = 30º and |PQ| = 10 cm. Find y

A6cm

B4cm

C5cm

D3cm

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Question 8

waec 2025

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

Aa°

B90°

C180°

Dd°

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Question 9

waec 2025

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

A93°

B77°

C103°

D62°

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Question 10

waec 2025

In the diagram below, AB||DC, the bisectors of < BAC and < ACD meet at E. Find the value of < AEC

A45°

B60°

C30°

D90°

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Question 11

waec 2025

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

A100°

B108°

C120°

D136°

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Question 12

waec 2025

In the diagram,|AB| = 12cm, |AE| = 8cm, |DC| = 9cm and BD||DC. Find the length of EC.

A6cm

B5cm

C8cm

D9cm

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Question 13

waec 2025

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

AAngle bisector of the straight lines joining them.

BParallel line to the straight line joining them.

CPerpendicular to the straight line joining them.

DPerpendicular bisector of the straight line joining them.

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Question 14

waec 2025

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

A95°

B78°

C72°

D85°

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Question 15

waec 2025

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

A25°

B30°

C20°

D35°

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Question 16

waec 2025

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

A15°

B22.5°

C7.5°

D30°

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Question 17

waec 2025

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

B7\(\frac{2}{10}\) cm

C6 \(\frac{4}{5}\) cm

D13 \(\frac{3}{5}\) cm

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Question 18

waec 2025

If log\(_{10}\)x = 2.3675 and log\(_{10}\)y = 2.9738, what is the value of x + y, correct to three significant figures

A0.118

B0.903

C0.117

D0.944

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Question 19

waec 2025

A cylindrical container, closed at both ends, has a radius of 7 cm and a height of 5 cm. Use this information to answer the questions below. What is the volume of the container?

A770 cm\(^3\)

B35 cm\(^3\)

C220 cm\(^3\)

D154 cm\(^3\)

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Question 20

waec 2025

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

A3\(\frac{1}{2}\) cm

B10\(\frac{1}{2}\) cm

C14 cm

D7 cm

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