Mathematics Past Questions

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47 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

47 questions
Question 1 of 20 47 total questions
Question 1
jamb 2014

If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)]

A48 cm
B40 cm
C43 cm
D45 cm
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Question 2
jamb 2014
The pie chart above shows the monthly distribution of a man's salary on food items. If he spent N8,000 on rice, how much did he spent on yam?
AN42,000
BN18,000
CN16,000
DN12,000
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Question 3
jamb 2014

in the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

Ay = x + 5
By = -x + 5
Cy = x - 5
Dy = -x - 5
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Question 4
jamb 2014
Find the value of x in the figure above
A20\(\sqrt{3}\)cm
B10\(\sqrt{3}\)cm
C5\(\sqrt{3}\)cm
D4\(\sqrt{3}\)cm
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Question 5
jamb 2014
From the figure above, what is the value of p?
A135o
B90o
C60o
D45o
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Question 6
jamb 2014
In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35o, calculate the size of angle KMN.
A91o
B89o
C37o
D19o
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Question 7
jamb 2014
From the venn diagram above, the shaded parts represent
A(P\(\cap\)Q)\(\cup\)(P\(\cap\)R)
B(P\(\cup\)Q)\(\cap\)(P\(\cap\)R)
C(P\(\cup\)Q)\(\cup\)(P\(\cup\)R)
D(P\(\cap\)Q)\(\cup\)(P\(\cup\)R)
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Question 8
jamb 2014

A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?

A\(\frac{2}{15}\)
B\(\frac{1}{10}\)
C\(\frac{1}{3}\)
D\(\frac{2}{5}\)
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Question 9
jamb 2014
\(\begin{array}{c|c}
Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 18 & 22 & 20 & 16 & 10 & 14
\end{array}\)

The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?
A\(\frac{1}{5}\)
B\(\frac{1}{2}\)
C\(\frac{2}{5}\)
D\(\frac{3}{4}\)
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Question 10
jamb 2014
In how many ways can a team of 3 girls be selected from 7 girls?
A\(\frac{7!}{3!}\)
B\(\frac{7!}{4!}\)
C\(\frac{7!}{3!4!}\)
D\(\frac{7!}{2!5!}\)
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Question 11
jamb 2014
Find the standard deviation of 5, 4, 3, 2, 1
A\(\sqrt{2}\)
B\(\sqrt{3}\)
C\(\sqrt{6}\)
D\(\sqrt{10}\)
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Question 12
jamb 2014
Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6
A6
B5
C4
D3
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Question 13
jamb 2014

\(\begin{array}{c|c}
Values & 0 & 1 & 2 & 3 & 4 \\
\hline
Frequency & 1 & 2 & 2 & 1 & 9
\end{array}\)

Find the mode of the distribution above

A1
B2
C3
D4
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Question 14
jamb 2014

The mean of 2 - t, 4 + t, 3 - 2t, 2 + t and t - 1 is

At
B-t
C2
D-2
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Question 15
jamb 2014
Evaluate \(\int (2x + 3)^{\frac{1}{2}} \delta x\)
A\(\frac{1}{12} (2x + 3)^6 + k\)
B\(\frac{1}{3} (2x + 3)^{\frac{1}{2}} + k\)
C\(\frac{1}{3} (2x + 3)^{\frac{3}{2}} + k\)
D\(\frac{1}{12} (2x + 3)^{\frac{3}{4}} + k\)
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Question 16
jamb 2014
Evaluate \(\int \sin 2x dx\)
Acos 2x + k
B\(\frac{1}{2}\)cos 2x + k
C\(-\frac{1}{2}\)cos 2x + k
D-cos 2x + k
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Question 17
jamb 2014
Find the minimum value of y = x2 - 2x - 3
A4
B1
C-1
D-4
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Question 18
jamb 2014
If y = cos 3x, find \(\frac{\delta y}{\delta x}\)
A\(\frac{1}{3} \sin 3x\)
B\(-\frac{1}{3} \sin 3x\)
C3 sin 3x
D-3 sin 3x
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Question 19
jamb 2014
If y = 4x3 - 2x2 + x, find \(\frac{\delta y}{\delta x}\)
A8x2 - 2x + 1
B8x2 - 4x + 1
C12x2 - 2x + 1
D12x2 - 4x + 1
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Question 20
jamb 2014
If \(\sin\theta = \frac{12}{13}\), find the value of \(1 + \cos\theta\)
A\(\frac{25}{13}\)
B\(\frac{18}{13}\)
C\(\frac{8}{13}\)
D\(\frac{5}{13}\)
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