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JAMB - Mathematics (2014)

1
Find the value of 1101112 + 101002
Answer
(C)
10010112
2
A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?
Answer
(C)
N51,000
3
Express the product of 0.00043 and 2000 in standard form.
Answer
(C)
8.6 x 10-1
4
A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?
Answer
(B)
N45,000
5
If log7.5 = 0.8751, evaluate 2 log75 + log750
Answer
(B)
6.6253
6
Solve for x in 8x-2 = 2/25
Answer
(D)
10
7
Simplify \(\frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}\)
Answer
(A)
3\(\sqrt{6} - 7\)
8
Evaluate Log28 + Log216 - Log24
Answer
(C)
5
9
If P = {1,2,3,4,5} and P \(\cup\) Q = {1,2,3,4,5,6,7}, list the elements in Q
Answer
(C)
{6,7}
10
If gt2 - k - w = 0, make g the subject of the formula
Answer
(A)
\(\frac{k + w}{t^2}\)
11
Factorize 2y2 - 15xy + 18x2
Answer
(B)
(2y - 3x) (y - 6x)
12
Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6
Answer
(D)
1
13
y varies directly as w2. When y = 8, w = 2. Find y when w = 3
Answer
(A)
18
14
P varies directly as Q and inversely as R. When Q = 36 and R = 16, P = 27. Find the relation between P, Q and R.
Answer
(B)
\(P = \frac{12Q}{R}\)
15
What is the solution of \(\frac{x - 5}{x + 3} < -1\)?
Answer
(A)
-3 < x < 1
16
Evaluate the inequality \(\frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}\)
Answer
(A)
\(x \geq 4\)
17
The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.
Answer
(C)
73
18
What is the common ratio of the G.P. \((\sqrt{10} + \sqrt{5}) + (\sqrt{10} + 2\sqrt{5}) + ... \)?
Answer
(A)
\(\sqrt{2}\)
19
A binary operation * is defined by x * y = xy. If x * 2 = 12 - x, find the possible values of x
Answer
(B)
3,-4
20
Find y, if \(\begin{pmatrix}5 & -6 \\2 & -7\end{pmatrix}\begin{pmatrix}x \\ y \end{pmatrix} = \begin{pmatrix}7 \\-11\end{pmatrix}\)
Answer
(C)
3
21
If \(\begin{vmatrix}-x & 12 \\-1 & 4 \end{vmatrix} = - 12\), find x.
Answer
(D)
6
22
Find the value of \(\begin{vmatrix}0 & 3 & 2 \\1 & 7 & 8 \\0 & 5 & 4\end{vmatrix}\).
Answer
(D)
-2
23
How many sides has a regular polygon whose interior angle is 135°?
Answer
(D)
8
24
A cylindrical tank has a capacity of 6160m3. What is the depth of the tank if the radius of its base is 28cm?
Answer
(D)
2.5m
25
Find the mid point of S(-5, 4) and T(-3, -2)
Answer
(C)
-4, 1
26
The gradient of a line joining (x,4) and (1,2) is \(\frac{1}{2}\). Find the value of x
Answer
(A)
5
27
Calculate the mid point of the line segment y - 4x + 3 = 0, which lies between the x-axis and y-axis.
Answer
(A)
\(\begin{pmatrix} 3 & -3 \\ 8 & 2 \end{pmatrix}\)
28
If \(\sin\theta = \frac{12}{13}\), find the value of \(1 + \cos\theta\)
Answer
(B)
\(\frac{18}{13}\)
29
If y = 4x3 - 2x2 + x, find \(\frac{\delta y}{\delta x}\)
Answer
(D)
12x2 - 4x + 1
30
If y = cos 3x, find \(\frac{\delta y}{\delta x}\)
Answer
(D)
-3 sin 3x
31
Find the minimum value of y = x2 - 2x - 3
Answer
(D)
-4
32
Evaluate \(\int \sin 2x dx\)
Answer
(C)
\(-\frac{1}{2}\)cos 2x + k
33
Evaluate \(\int (2x + 3)^{\frac{1}{2}} \delta x\)
Answer
(C)
\(\frac{1}{3} (2x + 3)^{\frac{3}{2}} + k\)
34
The mean of 2 - t, 4 + t, 3 - 2t, 2 + t and t - 1 is
Answer
(C)
2
35
\(\begin{array}{c|c}
Values & 0 & 1 & 2 & 3 & 4 \\
\hline
Frequency & 1 & 2 & 2 & 1 & 9
\end{array}\)

Find the mode of the distribution above
Answer
(D)
4
36
Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6
Answer
(B)
5
37
Find the standard deviation of 5, 4, 3, 2, 1
Answer
(A)
\(\sqrt{2}\)
38
In how many ways can a team of 3 girls be selected from 7 girls?
Answer
(C)
\(\frac{7!}{3!4!}\)
39
\(\begin{array}{c|c}
Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
Frequency & 18 & 22 & 20 & 16 & 10 & 14
\end{array}\)

The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?
Answer
(C)
\(\frac{2}{5}\)
40
A number is chosen at random from 10 to 30 both inclusive. What is the probability that the number is divisible by 3?
Answer
(C)
\(\frac{1}{3}\)
41
From the venn diagram above, the shaded parts represent
Answer
(A)
(P\(\cap\)Q)\(\cup\)(P\(\cap\)R)
42
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.
Answer
(C)
37o
43
From the figure above, what is the value of p?
Answer
(B)
90o
44
Find the value of x in the figure above
Answer
(B)
10\(\sqrt{3}\)cm
45

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)?

Answer
(B)
y = -x + 5