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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 1991

jamb 1986

PQ and PR are tangents from P to a circle centre O as shown in the figure. If QRP = 34^o, find the angle marked x

A34^o

B56^o

C68^o

D112^o

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Question 1992

jamb 1986

The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume

A120m²

B576m³

C816m³

D1056m³

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Question 1993

jamb 1986

In the diagram, PQ and RS are chords of a circle centre O which meet at T outside the circle. If TP = 24cm. TQ = 8cm and TS = 12cm, find TR.

A16cm

B14cm

C12cm

D8cm

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Question 1994

jamb 1986

The table below gives the scores of a group of students in a Mathematical test.
\(\begin{array}{c|c} Scores & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline Frequency & 2 & 4 & 7 & 14 & 12 & 6 & 4 & 1\end{array}\)
If the mode in m and the number of students who scored 4 or less is s. What is (s, m)?

A(27, 4)

B(14,4)

C(13,4)

D(4,4)

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Question 1995

jamb 1986

A man kept 6 black, 5 brown and 7 purple shirts in a drawer. What is the probability of his picking a purple shirt with his eyes closed?

A\(\frac{1}{7}\)

B\(\frac{11}{18}\)

C\(\frac{7}{18}\)

D\(\frac{7}{11}\)

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Question 1996

jamb 1986

Find the probability that a number selected at random from 40 to 50 is a prime

A\(\frac{2}{11}\)

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

C\(\frac{3}{11}\)

D\(\frac{4}{11}\)

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Question 1997

jamb 1986

Find the median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119

A131

B125

C123

D120

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Question 1998

jamb 1986

Of the nine hundred students admitted in a university in 1979, the following was the distribution by state: Anambrs 185, Imo 135, Kaduna 90, Kwara 110, Ondo 155, Oyo 225. In a pie chart drawn to represent this distribution, The angle subtended at the centre by anambra is

A50^o

B65^o

C74^o

D88^o

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Question 1999

jamb 1986

An open rectangular box externally measures 4m x 3m x 4m. Find the total cost of painting the box externally if it costs N2.00 to paint one square meter

AN96.00

BN112.00

CN136.00

DN160.00

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Question 2000

jamb 1986

If U and V are two distinct fixed points and W is a variable points such that UWV is a right angle, what is the locus of W?

AThe perpendicular bisector of UV

BA circle with UV as radius

CA line parallel to the line UV

DA circle with the line UV as the diameter

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Question 2001

jamb 1986

Find the total surface area of solid cone of radius 2\(\sqrt{3}\)cm and slanting side 4\(\sqrt{3}\)

A8\(\sqrt{3}\pi \)cm²

B24\(\pi \)cm²

C15\(\sqrt{3}\pi \)cm²

D36\(\pi \)cm²

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Question 2002

jamb 1986

An arc of a circle of radius 6cm is 8cm long. Find the area of the sector

A5\(\frac{1}{3}\)cm²

B24cm²

C36cm²

D84cm²

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Question 2003

jamb 1986

A girl walks 45 meters in the direction 050^o from a point Q to a point X. She then walks 24 meters in the direction 140^o from X to a point Y. How far is she then from Q?

A69m

B57m

C51m

D21m

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Question 2004

jamb 1986

A regular polygon of n sides has 160^o as the size of each interior angle. Find n

A18

B16

C14

D12

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Question 2005

jamb 1986

If cos\(\theta\) = \(\frac{a}{b}\), find 1 + tan²\(\theta\)

A\(\frac{b^2}{a^2}\)

B\(\frac{a^2}{b^2}\)

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

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

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Question 2006

jamb 1986

At what points does the straight line y = 2x + 1 intersect the curve y = \(2x^2\) + 5x - 1?

A(-2, -3) and(\(\frac{1}{2}\), 2)

B(1, 0), (1, 3)

C(4, 0) and (0,1)

D2, 0) and (0,1)

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Question 2007

jamb 1986

If \(\frac{a}{b}\) = \(\frac{c}{d}\) = k, find the value of \(\frac{3a^2 - ac + c^2}{3b^2 - bd + d^2}\) in terms of k

A3k²

B3k - k²

C\(\frac{17k^2}{4}\)

Dk²

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Question 2008

jamb 1986

Find the values of x which satisfy the equation 16^x - 5 x 4^x + 4 = 0

A1 and 4

B-2 and 2

C0 and 1

D-1 and 0

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Question 2009

jamb 1986

make v the subject of the formula S = \(\sqrt{\frac{6}{v} - \frac{w}{2}}\)

Av = \(\frac{12}{2s^2}\)

Bv = \(\frac{12}{2s+ w}\)

Cv = \(\frac{12}{2s^2 + w}\)

Dv = \(\frac{12}{2s^2}\) + w

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Question 2010

jamb 1986

Simplify \(\frac{1}{x - 2}\) + \(\frac{1}{x + 2}\) + \(\frac{2x}{x^2 - 4}\)

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

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

C\(\frac{x}{x^2 - 4}\)

D\(\frac{4x}{x^2 - 4}\)

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