JAMB Mathematics 2014 test

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JAMB Mathematics 2014

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\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

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Find the median of 5,9,1,10,3,8,9,2,4,5,5,5,7,3 and 6

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Find the mid point of S(-5, 4) and T(-3, -2)

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If P = {1,2,3,4,5} and P ∪ Q = {1,2,3,4,5,6,7}, list the elements in Q

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The locus of a dog tethered to a pole with a rope of 4m is a

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A man donates 10% of his monthly net earnings to his church. If it amounts to N4,500, what is his net monthly income?

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y varies directly as w2. When y = 8, w = 2. Find y when w = 3

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What is the solution of \frac{x - 5}{x + 3} < -1?

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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.

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Find the minimum value of y = x2 - 2x - 3

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A cylindrical tank has a capacity of 6160m3. What is the depth of the tank if the radius of its base is 28cm?

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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?

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Simplify \frac{2\sqrt{2} - \sqrt{3}}{\sqrt{2} + \sqrt{3}}

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Factorize 2y2 - 15xy + 18x2

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How many sides has a regular polygon whose interior angle is 135o

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Evaluate the inequality \frac{x}{2} + \frac{3}{4} \leq \frac{5x}{6} - \frac{7}{12}

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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.

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A binary operation * is defined by x * y = xy. If x * 2 = 12 - x, find the possible values of x

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

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If \sin\theta = \frac{12}{13}, find the value of 1 + \cos\theta

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

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Find the equation of the straight line through (-2, 3) and perpendicular to 4x + 3y - 5 = 0

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Calculate the mid point of the line segment y - 4x + 3 = 0, which lies between the x-axis and y-axis.

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\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?

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Find the standard deviation of 5, 4, 3, 2, 1

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\text{If }\begin{vmatrix}

-x & 12 \\
-1 & 4

\end{vmatrix} = - 12, \text{ find x}

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Express the product of 0.00043 and 2000 in standard form.

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If log7.5 = 0.8751, evaluate 2 log75 + log750

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Evaluate \int \sin 2x dx

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A cylindrical tank has a capacity of 6160m3. What is the depth of the tank if the radius of its base is 28cm?

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Find the value of x in the figure above

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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)?

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Find the mid point of S(-5, 4) and T(-3, -2)

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The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

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Find the value of k if y - 1 is a factor of y3 + 4y2 + ky - 6

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If y = 4x3 - 2x2 + x, find \frac{\delta y}{\delta x}

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If y = cos 3x, find \frac{\delta y}{\delta x}

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If gt2 - k - w = 0, make g the subject of the formula

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Solve for x in 8x-2 = 2/25

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From the figure above, what is the value of p?

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Evaluate\int (2x + 3)^{\frac{1}{2}} \delta x

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The locus of a dog tethered to a pole with a rope of 4m is a

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The gradient of a line joining (x,4) and (1,2) is 12. Find the value of x

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A woman bought a grinder for N60,000. She sold it at a loss of 15%. How much did she sell it?

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\text{If }\begin{vmatrix}

-x & 12 \\
-1 & 4

\end{vmatrix} = - 12, \text{ find x}

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What is the common ratio of the G.P. (\sqrt{10} + \sqrt{5}) + (\sqrt{10} + 2\sqrt{5}) + ...?

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Find the value of

\begin{vmatrix}

0 & 3 & 2 \\
1 & 7 & 8 \\
0 & 5 & 4

\end{vmatrix}

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Find y, if

\begin{pmatrix}

5 & -6 \\
2 & -7

\end{pmatrix}\begin{pmatrix}

5 \\
2

\end{pmatrix} = \begin{pmatrix}

7 \\
-11

\end{pmatrix}

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In how many ways can a team of 3 girls be selected from 7 girls?

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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.

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From the venn diagram above, the shaded parts represent

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Find the value of 1101112 + 101002

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Evaluate Log28 + Log216 - Log24

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