2024 JAMB Mathematics Past Questions CBT

Evaluate:

\( \frac{0.21\:\times\:4.8}{0.96\:\times\:0.0007} \)

leaving the answer in standard form.

If:

\( \scriptsize X_4 \: + \: 34_5 = 54_6 \)

Find the value of X.

Simplify:

\(\frac{2\frac{2}{3} \: \times \: \frac{4}{7}}{1\frac{1}{7}} \)

leaving your answer as a fraction.

A dealer bought a second-hand car for ₦720,000.00. He later sold it at a profit of 20%. How much did he sell the car?

The shaded (blue) region in the Venn diagram above represents

Evaluate:

\( \scriptsize \log_39\:+\:\log_381\:-\:\log_327\)

If y varies directly as the square root of x and y = 6 when x = 9, find y when x = 4.

If f(x) = 2x³ + 3x² – 8x + 3 and f(1) = 0, solve f(x) = 0 completely

If the matrix

\(\scriptsize \begin{pmatrix}4 & x & 3 \\1& 0 & 2 \\-2 & 1 & 1\end{pmatrix}\)

is singular, find the value of x.

Solve the inequality:

\( \frac{2x\:+\:5}{2} \: -\: \frac{x\:+\:4}{3} \scriptsize < 3x \: -\:7\)

Three boys shared a number of oranges in the ratio 5 : 4 : 3. If the least share was 9 oranges, find the number of oranges shared.

Simplify \( \frac{(-b)^3 \: \times \: (-b)^2}{b^2} \)

If f(x) = x³ + kx² – x – 2 and f(1) = 0, find k

A civil servant earns ₦72 000.00 per month, out of which he spends 12% on his children’s education. If he spends an additional 15% on food, how much does he have left?

Which of the following functions correctly represents the curve above?

If 3x – y = 8 and 5x + 2y = 12, by how much is 11x greater than 18?

If:

\(  \frac{2\sqrt{5} \: + \: 4 \sqrt{2}}{\sqrt{5} \: -\: \sqrt{2}} \scriptsize = a \: + \: b \sqrt{10} \)

where a and b are rational numbers.

Find a – b

A binary operation* on the set, R of real. numbers is defined by a*b = ab – b + 7 for all a, b ∈ R. Find (2 * 3)* 4

Find the equation of the straight line through (3, -1) and perpendicular to the line 2x + 3y = 3.

What is the equation of the straight line through the points (-1, 3) and (2, -1)?

Find y, if \(\frac{dy}{dx} \scriptsize = 2\: cos\: 2x \)

Evaluate the definite integral \( \scriptsize -\int^1_{-1} (x \: -\: 1)^2 dx \)

If the ends of a diameter of a circle are (-1, 2) and (9, 4), find the length of its radius.

The angle of depression of a boat from the top of a cliff is 30º. What is the shortest distance between the boat and the top of the cliff?

What is the sum of multiples of 7 from 28 to 196?

If m : n = 2 : 3,

evaluate \( \frac{15m\:-\:5n}{9m\:-\:4} \)

If f(x + 3) = x² + 2x + 7, find f(5)

Find the values of x for which the expression;

\( \frac{x^2 \: + \: 5x \: -\: 14}{x^2 \: – \: x \: -\: 30} \scriptsize \: is \: zero \)

When a polynomial P(x) is divided by (x + 2), the quotient is x² + x + 5, and the remainder is 3. Find P(x).

The diameter of a circle is 26 cm. A chord of the circle is 24 cm long. What is the distance of the midpoint of the chord from the centre of the circle?

In the diagram, O is the centre of circle PQRT. If the reflex angle POR = 240º, find ∠PTR.

In the diagram, O is the centre of the circle. Find the angle marked x°.

In the diagram,

\(\scriptsize \overline{AB} // \overline{CD} \)

\( \scriptsize \angle GEB = 150^o\)

and \( \scriptsize \angle CFG = 130^o\)

Find the angle marked xº

In how many ways can a family of six be seated at a round table if the father and mother must not sit next to each other?

The 3rd and 7th terms of a G.P. are 24 and \( \frac{8}{27}\) respectively. Find the positive value of the common ratio.

Find the sum to infinity of the series:

\( \scriptsize S_n = 1 \: + \: sin60^o \: + \: sin^260^o \: + \: ……..\)

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

In a pie chart representing 5%, 15%, 25%,……….80%, what is the sectional angle for 25%?

A = {1, 2, 3, 4, 5} and B = {20, 21, 22 ………30}. If a number is selected at random from A ∪ B, find the probability that it is a multiple of 5.

The frequency distribution above shows the ages (in years) of some children at a birthday party. Find the variance of the distribution.