2016 JAMB Mathematics Past Questions CBT

Integrate \( \frac{2x^3 \: + \: 2x}{x} \) with respect to x

If the mean of 4, y, 8 and 10 is 7, find y.

Find the derivative of y = \( \left(\frac{1x}{3} \scriptsize \: + \: 6 \right)^2 \)

In a school of 150 students, 80 offer French while 60 offer Arabic and 20 offer neither. How many students offer both subjects?

If the 2nd term of a G.P. is \( \frac{8}{9} \) and the 6th term is \( \scriptsize 4 \frac{1}{2} \) find the common ratio.

From the diagram above, find the value of \( \scriptsize \angle \hat {OTQ} \)

The sum of the interior angles of a polygon is given as 1080. Find the number of the sides of the polygon.

In the diagram above, L₁ is parallel to L₂, find the value of ∠PMT

From the diagram above, find ∠ ROP

The Venn diagram shows a class of 50 students with the games they play. How many students play only two games?

If line y = 5x + 3 is parallel to line p = wx + 5, find the value of w.

Evaluate \(\scriptsize  \int (cos4x \: +\: sin 3x) dx \)

If X₁₀ = 23_5, find X.

The pie chart above shows the distribution of subjects offered by students in SSS III level. If 80 students enrolled in the class, what is the size of the angle of the sector in Economics?

Calculate the range of 20, -6, 25, 30, 21, 28, 32, 33, 34, 5, 3, 2, and 1.

The bar chart above shows the number of visitors received in a week. How many visitors were received on Friday, Tuesday, and Sunday?

Factorize k² – 2kp + p²

Calculate the perimeter of a sector of radius 12 cm and angle 60º.

\( \scriptsize \begin{array}{c|c} Marks & 2 & 3 & 4 \\ \hline Frequency & 4 & 4 & y \end{array} \)

The table above shows the frequency distribution of marks obtained by a group of students. If the total mark is 48, fin the value of y

Given = {x: x is a positive integer less than 15} and P = {x: x is even number from 1 to 14}. Find the complement of P.

In the diagram, the area of the shaded part is A₁ while the area of the circle is A₂  Find the ratio \( \frac{A_1}{A_2} \)

Simplify \( \frac {0.026 \; \times \; 0.36}{0.69} \)

leave your answer in standard form

Find the derivative of y = 3x sin x with respect to x

Calculate the perimeter of a sector of a circle of radius 9 cm and angle 36º.

Evaluate \( \frac{27^{\frac{1}{3}} \; – \; 8 ^{\frac{2}{3}}}{16^ \frac{2}{4} \; \times \; 2} \)

From the table above, find the median

Find \( \frac{dy}{dx},\) if  \(\scriptsize y = \normalsize \frac{2x^3}{3} \: -\: \frac{4}{x} \)

Evaluate \( \frac{0.8 \; \times \; 0.43 \; \times \; 0.031}{0.05 \; \times \; 0.72 \; \times \; 0.021} \)

Correct to four significant figures.

An arc subtends an angle of 30º at the center of a circle radius 12 cm. Calculate the length of the arc.

Evaluate \(\scriptsize\int_{0} ^{\large\frac{\pi}{2}} \sin x \mathrm dx\)

An arc of length 16 πcm subtends an angle of 80º at the center of the circle. Find the radius of the circle.

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

Evaluate  \( \frac{12.02 \: \times \: 20.06}{26.04 \: \times \: 60.06 } \)

correct to three significant figures

If  y = \( \scriptsize 2x^3 \: + \: 6x^2 \: + \: 6x \: + \: 1 \)

Find \( \frac{dy}{dx} \)

The nth term of the sequence 3, 9, 27, 81, ………. is

Simplify \( \scriptsize 1 \; – \; \left ( \frac{1}{7} \scriptsize \; \times \; 3 \frac{1}{2} \right) \scriptsize\; \div \;    \frac{3}{4} \)

If a car travels 120 km on 45 liters of petrol, how much petrol is needed for a journey of 600 km?

Find \( \frac{dy}{dx} \) if y = \( \scriptsize 3x^3 \; + \; 2x^2 \; + \; 3x \; + \; 1 \)

Use the graph of the curve y=f(x) to solve the inequality f(x) ≥ 0

Evaluate \( \scriptsize \int \left(sinx \: – \: 5x^2 \right) dx \)

If N = \( \frac{P}{2} \left( \frac{T_1 \: -\: T_2}{T_1} \right) \)

Find P, when N = 12, T₁ = 27 and T₂ = 24

Solve for x and y respectively

3x – 5y = 9
6x – 4y =12

If Q is the set of factors of 18 and T is the set of prime numbers between 2 and 18, find \(\scriptsize Q \cap T\)

From the cyclic quadrilateral above, find ∠TVS

Find the mean of 10, 8, 5, 11, 12, 9, 6, 3, 15 and 23

In the cyclic quadratic above, find ∠PRO

OGIVE is constructed using

Rationalize \( \frac{\sqrt{6} \; – \; \sqrt{4}}{\sqrt{6} \; + \; \sqrt{4}} \)

Use the bar chart below to answer the question that follows:

How many students in all took the test?

Determine the maximum value of \( \scriptsize y = 3x^2 \: – \: x^3 \)