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.
In how many ways can a student select 2 subjects from 5 subjects?
A\(\frac{5!}{3!}\)
B\(\frac{5!}{2!2!}\)
C\(\frac{5!}{2!3!}\)
D\(\frac{5!}{2!}\)
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Question 12
jamb2013
\(\begin{array}{c|c} Score & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline Frequency & 1 & 0 & 7 & 5 & 2 & 3 & 1 & 1 \end{array}\)
The table above shows the scores of 20 students in further mathematics test. What is the range of the distribution?
A7
B6
C3
D10
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Question 13
jamb2013
If the variance of 3+x, 6, 4, x and 7-x is 4 and the mean is 5, find the standard deviation
A\(\sqrt{3}\)
B2
C3
D\(\sqrt{2}\)
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Question 14
jamb2013
Age
20
25
30
35
40
45
No of people
3
5
1
1
2
3
Calculate the median age of the frequency distribution in the table above
A25
B30
C35
D20
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Question 15
jamb2013
The mean of seven numbers is 10. If six of the numbers are 2, 4, 8, 14, 16 and 18, find the mode.
A6
B8
C14
D2
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Question 16
jamb2013
Find the mean of t + 2, 2t - 4, 3t + 2 and 2t.
At + 1
B2t
C2t + 1
Dt
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Question 17
jamb2013
The radius of a circle is increasing at the rate of 0.02cms-1. Find the rate at which the area is increasing when the radius of the circle is 7cm.
A0.75cm2S-1
B0.53cm2S-1
C0.35cm2S-1
D0.88cm2S-1
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Question 18
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If y = (2x + 2)\(^3\), find \(\frac{\delta y}{\delta x}\)
A3(2x +2)2
B6(2x +2)
C3(2x +2)
D6(2x +2)2
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Question 19
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If y = x sin x, find \(\frac{\delta y}{\delta x}\)
If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4)
A24
B16
C14
D26
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Question 23
jamb2013
The nth term of the progression \(\frac{4}{2}\), \(\frac{7}{3}\), \(\frac{10}{4}\), \(\frac{13}{5}\) is ...
A\(\frac{1 - 3n}{n + 1}\)
B\(\frac{3n + 1}{n + 1}\)
C\(\frac{3n + 1}{n - 1}\)
D\(\frac{3n - 1}{n + 1}\)
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Question 24
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Solve for x: |x - 2| < 3
Ax < 5
B-2 < x < 3
C-1 < x < 5
Dx < 1
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Question 25
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Evaluate 3(x + 2) > 6(x + 3)
Ax < 4
Bx > -4
Cx < -4
Dx > 4
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Question 26
jamb2013
If r varies inversely as the square root of s and t, how does s vary with r and t?
As varies inversely as r and t2
Bs varies inverely as r2 and t
Cs varies directly as r2 and t2
Ds varies directly as r and t
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Question 27
jamb2013
P varies jointly as m and u, and varies inversely as q. Given that p = 4, m = 3 and u = 2 and q = 1, find the value of p when m = 6, u = 4 and q =\(\frac{8}{5}\)
A12\(\frac{8}{5}\)
B15
C10
D28\(\frac{8}{5}\)
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Question 28
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The remainder when 6p3 - p2 - 47p + 30 is divided by p - 3 is
A21
B42
C63
D18
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Question 29
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If x - 4 is a factor of x2 - x - k, then k is
A4
B12
C20
D2
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Question 30
jamb2013
If S = \(\sqrt{t^2 - 4t + 4}\), find t in terms of S
