Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 2161
jamb 1979
A father is now three times as old as his son. Twelve years ago he was six times as old as his son. How old are the son and the father?
A20 and 45
B100 and 150
C45 and 65
D35 and 75
E20 and 60
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Question 2162
jamb 1979

If y = x\(^2\) - 2x - 3, find the least value of y and the corresponding value of x

Ax = 3, y = 3
Bx = 1, y = -3
Cx = 4, y = 1
Dx = 1, y = -4
Ex = 2, y = -3
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Question 2163
jamb 1979
The following table relates the number of objects f corresponding to a certain size x. What is the average size of an object?
\(\begin{array}{c|c} f & 1 & 2 & 3 & 4 & 5 \\ \hline x & 1 & 2 & 4 & 8 & 16\end{array}\)
A\(\frac{31}{15}\)
B\(\frac{31}{5}\)
C\(\frac{129}{5}\)
D\(\frac{43}{5}\)
E\(\frac{16}{5}\)
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Question 2164
jamb 1979
The size of a quantity first doubles and then increases by a further 16%. After a short time its size decreases by 16%. What is the net increases in size of the quantity?
A\(\frac{59300}{625}\)
B\(\frac{50900}{625}\)
C200%
D+100%
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Question 2165
jamb 1979

What is log\(_7{(49^a)}\) - log\(_{10}^{(0.01)}\)?

A\(\frac{49^a}{100}\)
B\(\frac{a}{2}\) + 2
C72a + 2
D2a + 2
E\(\frac{2a}{2}\)
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Question 2166
jamb 1979
What is the greatest straight line distance between two vertices (corners) of a cube whose sides are 2239cm long?
A\(\sqrt{2239cm}\)
B\(\sqrt{2}\) x 2239cm
C\(\frac{\sqrt{3}}{2}\) 2239cm
D\(\sqrt{3}\) x 2239cm
E4478cm
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Question 2167
jamb 1979

An arc of circle of radius 2cm subtends an angle of 60º at the centre. Find the area of the sector

A\(\frac{2 \pi}{3}\)cm2
B\(\frac{\pi}{2}\)cm2
C\(\frac{\pi}{3}\)cm2
D\(\pi\)cm2
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Question 2168
jamb 1979
A cylinder of height h and radius r is open at one end. Its surface area is
A2\(\pi\)rh
B\(\pi\)r2h
C2\(\pi\)rh + \(\pi\)r2
D2\(\pi\)rh + 2\(\pi\)r2
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Question 2169
jamb 1979
Simplify \(\frac{1 - x^2}{x - x^2}\), where x \(\neq\) 0
A\(\frac{1}{x}\)
B\(\frac{1 - x}{x}\)
C\(\frac{1 + x}{x}\)
D\(\frac{1}{x - 1}\)
E\(\frac{-x - 1}{1}\)
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Question 2170
jamb 1979
For the set of numbers 2, 3, 5, 6, 7, 7, 8
AThe median is greater than the mode
Bthe mean is greater than the mode
Cthe mean is greater than the median
Dthe median is equal to the mean
Ethe mean is less than the median
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Question 2171
jamb 1979

12 men complete a job in 9 days. How many men working t the same rate would be required to complete the job in 6 days?

A24
B18
C12
D9
E8
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Question 2172
jamb 1979

Find the value of log\(_{10}\)\(\frac{1}{40}\), given that log10\(_4\) = 0.6021

A1.3979
B2.3979
C-1.6021
D2.6021
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Question 2173
jamb 1979

Find the value of (4\(^{\frac{1}{2}}\))\(^6\)

A1
B2
C4
D6
E64
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Question 2174
jamb 1979

If x\(^3\) - 12x - 16 = 0 has x = -2 as a solution then the equation has

Ax = -4 as a solution also
B3 roots all different
C3 roots with two equal and the third different
D3 roots all equal
Eonly one root
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Question 2175
jamb 1979
Solve the simultaneous linear equations: 2x + 5y = 11, 7x + 4y = 2
Ax = -8, y = 1
Bx = -2, y = 4
Cx = \(\frac{-34}{27}\), y = \(\frac{73}{27}\)
Dx = 7, y = -9
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Question 2176
jamb 1979

On each market day Mrs. Bassey walks to the market from her home at a steady speed. This journey normally takes her 2 hours to complete. She finds, however, that by increasing her usual speed by 1 km/hr she can save 20 minutes. Find her usual speed in km/hr

A1\(\frac{2}{3}\)
B2
C5
D6
E10
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Question 2177
jamb 1979

Which of the following values of the variable x, (a)x = 0, (b)x = -3, (c)x = 9, satisfy the inequalities 0 < \(\frac{x + 3}{x - 1}\) < 2?

A(a), (b), (c)
B(c)
CNone of the choices
DAll of the above
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Question 2178
jamb 1979

Make c the subject of the equation a(b + c) + \(\frac{5}{d}\) - 2 = 0

Ac = \(\frac{2d - 5 - b}{ad}\)
Bc = \(\frac{2d - 5 - abd}{ad}\)
Cc = \(\frac{2d - 5 - ab}{ad}\)
Dc = \(\frac{5 - 2d - b}{ad}\)
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Question 2179
jamb 1979
PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15o find < QRS
A75o
B37\(\frac{1}{2}\)o
C127\(\frac{1}{2}\)o
D105o
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Question 2180
jamb 1979
One of the following statements is wrong. Which is it?
AIf a triangle is equiangular then it is also equilateral
BIf a triangle is equilateral then it is also then it is also equiangular
CIf two triangles are similar then they are also congurent
DThe sum of the interior angles of any triangle is 180 degrees
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