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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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 671
jamb 2013
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 672
jamb 2013
\(\begin{array}{c|c} Score & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline Frequency & 1 & 0 & 7 & 5 & 2 & 3 & 1 & 1 \end{array}\)
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 673
jamb 2013
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 674
jamb 2013
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 675
jamb 2013
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 676
jamb 2013
Find the mean of t + 2, 2t - 4, 3t + 2 and 2t.
At + 1
B2t
C2t + 1
Dt
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Question 677
jamb 2013
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 678
jamb 2013

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 679
jamb 2013
If y = x sin x, find \(\frac{\delta y}{\delta x}\)
Asin x - cos x
Bcos x - x sin x
Ccos x + x sin x
Dsin x + x cos x
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Question 680
jamb 2013

Find the inverse \(\begin{pmatrix} 5 & 3 \\ 6 & 4 \end{pmatrix}\)

A\(\begin{vmatrix} 2 & -\frac{3}{2} \\ -3 & -\frac{5}{2} \end{vmatrix}\)
B\(\begin{vmatrix} 2 & -\frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)
C\(\begin{vmatrix} 2 & \frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)
D\(\begin{vmatrix} 2 & \frac{3}{2} \\ -3 & \frac{5}{2} \end{vmatrix}\)
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Question 681
jamb 2013

If P = \(\begin{pmatrix} 5 & 3 \\ 2 & 1 \end{pmatrix}\) and Q = \(\begin{pmatrix} 4 & 2 \\ 3 & 5 \end{pmatrix}\), find 2P + Q

A\(\begin{vmatrix} 7 & 7 \\ 14 & 8 \end{vmatrix}\)
B\(\begin{vmatrix} 14 & 8 \\ 7 & 7 \end{vmatrix}\)
C\(\begin{vmatrix} 7 & 7 \\ 8 & 14 \end{vmatrix}\)
D\(\begin{vmatrix} 8 & 14 \\ 7 & 7 \end{vmatrix}\)
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Question 682
jamb 2013
If a binary operation * is defined by x * y = x + 2y, find 2 * (3 * 4)
A24
B16
C14
D26
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Question 683
jamb 2013
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 684
jamb 2013

Solve for x: |x - 2| < 3

Ax < 5
B-2 < x < 3
C-1 < x < 5
Dx < 1
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Question 685
jamb 2013
Evaluate 3(x + 2) > 6(x + 3)
Ax < 4
Bx > -4
Cx < -4
Dx > 4
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Question 686
jamb 2013
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 687
jamb 2013
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 688
jamb 2013
The remainder when 6p3 - p2 - 47p + 30 is divided by p - 3 is
A21
B42
C63
D18
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Question 689
jamb 2013
If x - 4 is a factor of x2 - x - k, then k is
A4
B12
C20
D2
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Question 690
jamb 2013
If S = \(\sqrt{t^2 - 4t + 4}\), find t in terms of S
AS2 - 2
BS + 2
CS - 2
DS2 + 2
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