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Mathematics Past Questions

Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.

90 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

90 questions
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Question 1 of 20 90 total questions
Question 21
waec 1988
Evaluate (101.5)2 - (100.5)2
A1
B2.02
C20.02
D202
E2020
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Question 22
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 23
jamb 1988

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

A135O
B125O
C100O
D90O
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Question 24
jamb 1988

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

A25O
B40O
C50O
D65O
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Question 25
jamb 1988
In the figure, STQ = SRP, PT = TQ = 6cm and QS = 5cm. Find SR
A\(\frac{47}{5}\)
B5
C\(\frac{32}{5}\)
D\(\frac{22}{5}\)
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Question 26
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 27
jamb 1988

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

A55o
B60o
C65o
D75o
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Question 28
jamb 1988

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

A80o
B60o
C45o
D40o
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Question 29
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 30
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
D5
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Question 31
jamb 1988
PQR is a triangle in which PQ = 10cm and QPR = 60oS 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 32
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 33
jamb 1988

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

A3
B\(\frac{3\sqrt{7}}{7}\)
C3\(\sqrt{7}\)
D\(\sqrt{7}\)
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Question 34
jamb 1988
In triangle PQR, PQ = 1cm, QR = 2cm and PQR = 120o Find the longest side of the triangle
A\(\sqrt{3}\)cm
B\(\sqrt{7}\)cm
C3cm
D7cm
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Question 35
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 36
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 37
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 38
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 39
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 40
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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