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Mathematics Past Questions

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

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Past Questions

49 questions

Question 1 of 20 49 total questions

Question 1

jamb 1988

In the figure, a solid consists of a hemisphere surmounted by a right circular cone, with radius 3.0cm and height 6.0cm. Find the volume of the solid

A36\(\pi\)cm ³

B54\(\pi\)cm ²

C18\(\pi\)cm ²

D108\(\pi\)cm ²

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Question 2

jamb 1988

In the figure, XR and YQ are tangents to the circle YZXP if ZXR = 45° and YZX = 55°, Find ZYQ

A135^O

B125^O

C100^O

D90^O

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Question 3

jamb 1988

In the figure, PS = RS = QS and QSR = 50°. Find QPR

A25^O

B40^O

C50^O

D65^O

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Question 4

jamb 1988

In the figure, STQ = SRP, PT = TQ = 6cm and QS = 5cm. Find SR

A\(\frac{47}{5}\)

C\(\frac{32}{5}\)

D\(\frac{22}{5}\)

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Question 5

jamb 1988

In the figure, PS = 7cm and RY = 9cm. IF the area of parallelogram PQRS is 56cm². Find the area of trapezium PQTS

A56cm²

B112cm²

C120cm²

D176cm²

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Question 6

jamb 1988

In the figure, PQ is a parallel to ST and QRS = 40o. Find the value of x

A55^o

B60^o

C65^o

D75^o

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Question 7

jamb 1988

In the figure, PQRS is a circle. If chords QR and RS are equal, calculate the value of x

A80^o

B60^o

C45^o

D40^o

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Question 8

jamb 1988

If two dice are thrown together, what is the probability of obtaining at least a score of 10?

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

B\(\frac{1}{12}\)

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

D\(\frac{11}{12}\)

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Question 9

jamb 1988

If x and y represent the mean and the median respectively of the following set of numbers 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, find the \(\frac{x}{y}\) correct to one decimal place

A18

B15

C1.0

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Question 10

jamb 1988

PQR is a triangle in which PQ = 10cm and QPR = 60^oS is a point equidistant from P and Q. Also S is a point equidistant from PQ and PR. If U is the foot of the perpendicular from S on PR, find the length SU in cm to one decimal place

A2.7

B4.33

C3.1

D3.3

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Question 11

jamb 1988

If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm find the volume of the metal used in making the pipe

A120\(\pi\)cm³

B110\(\pi\)cm³

C60\(\pi\)cm³

D50\(\pi\)cm³

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Question 12

jamb 1988

If \(\cos^2 \theta + \frac{1}{8} = \sin^2 \theta\), find \(\tan \theta\).

B\(\frac{3\sqrt{7}}{7}\)

C3\(\sqrt{7}\)

D\(\sqrt{7}\)

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Question 13

jamb 1988

In triangle PQR, PQ = 1cm, QR = 2cm and PQR = 120^o Find the longest side of the triangle

A\(\sqrt{3}\)cm

B\(\sqrt{7}\)cm

C3cm

D7cm

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Question 14

jamb 1988

If cot \(\theta\) = \(\frac{x}{y}\), find cosec\(\theta\)

A\(\frac{1}{y}\)(x² + y²)

B\(\frac{x}{y}\)

C\(\frac{1}{y}\)\(\sqrt{x^2 + y^2}\)

D\(\frac{x - y}{y}\)

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Question 15

jamb 1988

Simplify \(\frac{4a^2 - 49b^2}{2a^2 - 5ab - 7b^2}\)

A\(\frac{a - b}{2a + b}\)

B\(\frac{2a + 7b}{a - b}\)

C\(\frac{2a - 7b}{a + b}\)

D\(\frac{2a + 7b}{a + b}\)

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Question 16

jamb 1988

Simplify \(\frac{1}{x^2 + 5x + 6}\) + \(\frac{1}{x^2 + 3x + 2}\)

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

B\(\frac{2}{(x + 5)(x - 3)}\)

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

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

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Question 17

jamb 1988

The solution of the quadratic equation px² + qx + b = 0 is

A\(\sqrt{\frac{-b \pm b^2 - 4ac}{2a}}\)

B\(\frac{-b \pm \sqrt{ p^2 - 4pb}}{2a}\)

C\(\frac{-q \pm \sqrt{ q^2 - 4bp}}{2p}\)

D\(\frac{-q \pm \sqrt{ p^2 - 4bp}}{2p}\)

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Question 18

jamb 1988

Given that 3x - 5y - 3 = 0, 2y - 6x + 5 = 0 the value of (x, y) is

A(\(\frac{-1}{8}, \frac{19}{24}\))

B8, \(\frac{24}{19}\)

C-8, \(\frac{24}{19}\)

D(\(\frac{19}{24}, \frac{-1}{8}\))

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Question 19

jamb 1988

List the integral values of x which satisfy the inequality -1 < 5 - 2x \(\geq\) 7

A-1, 0, 1, 2

B0, 1, 2, 3

C-0, 1, 2, 3

D-1, 0, 2, 3

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Question 20

jamb 1988

Solve the following equation equation for \(x^2 + \frac{2x}{r^2} + \frac{1}{r^4}\) = 0

Ar²

B\(\frac{1}{r^4}\)

C-\(\frac{1}{r^2}\)

D1 - r

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