Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 1771
jamb 1992
Find the sum to infinity to the following series 3 + 2 + \(\frac{4}{3}\) + \(\frac{8}{9}\) + \(\frac{16}{17}\) + .....
A1270
B190
C18
D9
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Question 1772
jamb 1992

Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28

A-5 \(\leq\) x \(\geq\) 8
B5 \(\leq\) x \(\leq\) 8
C-8 \(\leq\) x \(\leq\) 5
D-5 < x \(\leq\) 8
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Question 1773
jamb 1992

Resolve \(\frac{3}{x^2 + x - 2}\) into partial fractions

A\(\frac{1}{x - 1} - \frac{1}{x + 2}\)
B\(\frac{1}{x + 1} + \frac{1}{x - 2}\)
C\(\frac{1}{x + 1} - \frac{1}{x - 2}\)
D\(\frac{1}{x - 2} + \frac{1}{x + 2}\)
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Question 1774
jamb 1992
If x + 1 is a factor of x3 + 3x2 + kx + 4, find the value of k
A6
B-6
C8
D-8
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Question 1775
jamb 1992

A man invested a sum of N280.00 partly at 5% and partly at 4%. if the total interest is N12.80 per annum, find the amount invested at 5%

A14.00
B120.00
C140.00
D160.00
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Question 1776
jamb 1992
Make t the subject of formula S = ut + \(\frac{1}{2} at^2\)
A\(\frac{1}{a}\) (-u + \(\sqrt{U^2 - 2as}\))
B\(\frac{1}{a}\) {u \(\pm\) (U2 - 2as)}
C\(\frac{1}{a}\) {u \(\pm\) \(\sqrt{2as}\)}
D\(\frac{1}{a}\) {-u + \(\sqrt{( 2as)}\)}
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Question 1777
jamb 1992

Solve the equation: \(y - 11\sqrt{y} + 24 = 0\)

A8, 3
B64, 9
C6, 4
D9, -8
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Question 1778
jamb 1992

Factorize \(9p^2 - q^2 + 6qr - 9r^2\)

A(3p - 3q + r)(3p - q - 3r)
B(6p - 3q - 3r)(3p - q - 4r)
C(3p - q + 3r)(3p + q - 3r)
D(3q - p + 3r)(3q - p + 3r)
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Question 1779
jamb 1992

If U = (1, 2, 3, 6, 7, 8, 9, 10) is the universal set. E = (10, 4, 6, 8, 10) and F = {x: 1x\(^2\) = 2\(^6\), x is odd}. Find (E ∩ F)', where ' means the complement of a set.

A(0)
BU
C(8)
D\(\phi\)
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Question 1780
jamb 1992
If x = (all prime factors of 44) and y = (all prime factors of 60), the elements of X ∪ Y and X ∩ Y respectively are
A(2, 4, 3, 5, 11) and (4)
B(4, 3, 5, 11) and (3, 4)
C(2, 5, 11) and (2)
D(2, 3, 5, 11) and (2)
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Question 1781
jamb 1992
If x = 3 - \(\sqrt{3}\), find x2 + \(\frac{36}{x^2}\)
A9
B18
C24
D27
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Question 1782
jamb 1992

Simplify 5\(\sqrt{18}\) - 3\(\sqrt{72}\) + 4\(\sqrt{50}\)

A17\(\sqrt{4}\)
B4\(\sqrt{17}\)
C17\(\sqrt{2}\)
D12\(\sqrt{4}\)
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Question 1783
jamb 1992

Simplify \(\frac{(1.25 \times 10^{-4}) \times (2.0 \times 10^{-1})}{(6.25 \times 10^5)}\)

A4.0 x 10-11
B5.0 x 10-2
C2.0 x 10-1
D5.0 x 10-3
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Question 1784
jamb 1992
What is the value of x satisfying the equation \(\frac{4^{2x}}{4^{3x}}\) = 2?
A-2
B-\(\frac{1}{2}\)
C\(\frac{1}{2}\)
D2
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Question 1785
jamb 1992

Evaluate \(\log_{b} a^{n}\) if \(b = a^{\frac{1}{n}}\).

An2
Bn
C\(\frac{1}{n}\)
D\(\frac{1}{n^2}\)
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Question 1786
jamb 1992

The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?

A\(\frac{1}{25}\)
B\(\frac{1}{4}\)
C4
D25
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Question 1787
jamb 1992
Find n if 34n = 100112
A5
B6
C7
D8
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Question 1788
waec 1991

In the diagram above , |AD| = 10cm, |DC| = 8cm and |CF| = 15cm. Which of the following is correct?

AArea BCF = Area DCF
BArea ADE = Area ADF
CArea ADE = Area DCFE
DArea CBF = Area DABC
EArea DABO = Area CFEO
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Question 1789
waec 1991
In the diagram above , |AD| = 10cm, |DC| = 8cm and |CF| = 15cmIf the area of triangle DCF = 24cm2, find the area of the quadrilateral ABCD.
A24cm2
B48cm2
C80cm2
D96cm2
E120cm2
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Question 1790
waec 1991

In the diagram above, PQ and XY are two concentric arc; center O, the ratio of the length of the two arc is 1:3, find the ratio of the areas of the two sectors OPQ and OXY

A1:3
B1:6
C1:9
D2:3
E4:9
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