2022 JAMB Mathematics Past Questions CBT

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

Evaluate \( \scriptsize (101_{two})^3 \)

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 \( \frac{1}{3\:-\:\sqrt{2}} \) in the form of \( \scriptsize p \: + \: \sqrt{2} \)

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

Mr Adu spends his annual salary on food (F), rent (R), car maintenance, gifts (G), savings (S) and some miscellaneous (M) as indicated 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 24 cm² and height 7.5 cm. Find its volume?

The 10th term of an AP is 32. If the first term is \( \frac{3}{2} \), 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 letters of ZOOLOGY be arranged?

Integrate \( \scriptsize \left(2x\:+\:1 \right)^3 \)

If A = \(\scriptsize \begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix} \)

and B = \( \scriptsize \begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix} \)

Find AB

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

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

Evaluate \(\scriptsize \log_2 8\sqrt{2}\)

The locus of points equidistant from a fixed point is a

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 \( \scriptsize 5 \frac{1}{2}\) crates of eggs. What percentage of eggs are left?

If \(\scriptsize sec^2 \theta \: +\: tan^2 \theta = 3 \)

then the angle θ is equal to …………..

Find the limit of y = \(  \frac{x^2 + 6x -7}{x-1}\) 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 \(\scriptsize ^{n^2 + 1}C_{n+5}\)

If n = 3

Given that S = \( \scriptsize 3t^2 \: + \: 5t \: -\: 10 \) is displacement of a particle in metres, calculate its 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 4a² – 9b²

If n(P) = 20 and n(Q) = 30 and n(P ∪ Q) = 40, find the value n(P ∩ Q)

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 is

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