2014 JAMB Mathematics Past Questions CBT

Find the value of 110111₂ + 10100₂

A woman bought a grinder for ₦60,000. She sold it at a loss of 15%. How much did she sell it?

Express the product of 0.00043 and 2000 in standard form.

A man donates 10% of his monthly net earnings to his church. If it amounts to ₦4,500, what is his net monthly income?

If log 7.5 = 0.8751

Evaluate: 2 log 75 + log 750

Solve for x in \( \scriptsize 8x^{-2} = \normalsize \frac{2}{25} \)

Simplify \(\frac { 2 \sqrt { 2 } \:- \:\sqrt { 3 } } { \sqrt { 2 } \:+\: \sqrt { 3 } }\)

Evaluate log₂8 + log₂16 – log₂4

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

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

Factorize 2y² – 15xy + 18x²

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

y varies directly as w².

When y = 8, w = 2.  Find y when w = 3

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.

What is the solution of  \( \frac{x\:  -\:  5}{x \: + \: 3} \scriptsize < {-1} \)

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

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

What is the common ratio of the  G.P. (10√ + √5)+(10√ + 2√5) + …..

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

Find y, if \(\scriptsize\begin{pmatrix}5 & -6 \\2 & -7\end{pmatrix}\begin{pmatrix}x \\ y \end{pmatrix} = \begin{pmatrix}7 \\-11\end{pmatrix}\)

If \(\scriptsize \begin{vmatrix}-x & 12 \\-1 & 4 \end{vmatrix}= \; – 12 \)

Find x

Find the value of \(\scriptsize \begin{vmatrix}0 & 3 & 2 \\1 & 7 & 8 \\0 & 5 & 4\end{vmatrix}\)

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

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

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

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

The gradient of a line joining (x, 4) and (1, 2) is \(\frac{1}{2}\)

Find the value of x.

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

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

If sin θ = \( \frac {12}{13}\)

find the value of 1 + cos θ

If y = 4x³ – 2x² + x, find \(  \frac{dy}{dx}\)

If y = cos 3x, find \( \frac{dy}{dx} \)

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

Evaluate \( \scriptsize \int sin2x\:dx \)

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

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

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

Find the mode of the distribution above

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

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

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

\(\scriptsize\begin{array}{c|c} Numbers & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline Frequency & 18 & 22 & 20 & 16 & 10 & 14 \end{array}\)

The table above represents the outcome of throwing a die 100 times. What is the probability of obtaining at least a 4?

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

From the venn diagram above, the shaded parts represent

In the figure above, KL//NM, LN bisects ∠KNM. If angle KLN is 54º and angle MKN is 35º, calculate the size of angle KMN.

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

Find the value of x in the figure above

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)?

The pie chart above shows the monthly distribution of a man’s salary on food items. If he spent ₦8,000 on rice, how much did he spend on yam?

If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. 

\( \left[\scriptsize Take \: \pi = \normalsize \frac{22}{7}\right]\)