JAMB Mathematics 2022 Past Questions

Solve for k in the equation \(\frac{1}{8}^{k+2}\) = 1

Evaluate \((101_{two})^3\)

The shaded portion in the venn diagram above represents?

If a fair coin is tossed twice, what is the probability of obtaining at least one head?

If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median 

If sin θ = -  \(\frac{3}{5}\) and θ lies in the third quadrant, find cos θ

Simplify \(\frac{1}{3-√2}\) in the form of p + q√2

Find the length of a chord 3cm from the centre of a circle of radius 5cm

Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:

If the above information is represented on a pie chart. What angle represents his spending on food?

A rectangular pyramid has an area 24cm\(^2\) and height 7.5cm. Find its volume?

The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?

In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY

In how many ways can the letter of ZOOLOGY be arranged?

Integrate (2x+1)\(^3\)

If A = \(\begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\). Find AB

Given that r = \( \sqrt \frac{3v}{\pi h} \), make v the subject of the formula

Find the determinant of the matrix A = \(\begin{pmatrix} 2 & 3 \\ 1 & 3 \end{pmatrix}\)

Evaluate Log\(_2\) 8√2

The locus of points equidistant from a fixed point.

What will be the result obtained when the numerator of \(\frac{96}{50}\) is decreased by 37.5% and its denominator decreased by 20%.

A poultry farmer realized 200 eggs from his birds and sold 5 \(\frac{1}{2}\) crates of eggs. What percentages of eggs are left?

If sec\(^2\)θ + tan\(^2\)θ = 3, then the angle θ is equal to?

find the limit of y = \(\frac{x^3 + 6x - 7}{x-1}\) as x tends to 1

Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5

Calculate the median of 14, 17, 10, 13, 18 and 10.

The equivalent of (10110.011)\(_2\) in base 10 is?

The cost C of running a school is directly proportional to the number of students N, if 20 students cost #10,000, How many students can #1,000,000 cover?

The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by? 

Evaluate \(^{n^2 + 1}\)C\(_{n+5}\) if n = 3 

Given that S = \(3t^{2}\) + 5t - 10 is displacement of a particle in metres, calculate it initial velocity.

In the diagram above, XY = 8cm and OX = 5cm. Find Oz

Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)\(^2\), then find 3 * 5

If y varies inversely as x and x = 3 when y =4. Find the value of x when y = 12

If 8, p, q and 26 is an A.P. Find the values of p and q

Find x if the mean of 2x, 4x, 2x - 13 and 6x is 4.

Factorize 4a\(^2\) - 9b\(^2\)

If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

Three times a certain number (x), minus 2 is less than the number minus 6.Find the possible values of x. 

The number line represented by the inequality

If a dress is sold for #3800.00 at 20% discount. what is its original price?