2025 JAMB UTME Mathematics Past Questions

2025

In a basket of fruits, there are 6 grapes, 11 bananas, and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

2025

The chord of a circle of radius 17 cm is 30 cm long. Calculate the distance of the chord from the centre of the circle.

2025

Given that \(P = \begin{pmatrix} 1 & 3 \\ 2 & -5 \end{pmatrix}\) and Q = \(\begin{pmatrix} 3 & -7 \\ 1 & 2 \end{pmatrix}\) . Find P + 2Q

2025

Find the value of t for which (\(\frac{1}{2}\))\(^{t - 1}\) = 64

2025

Simplify - log\(_{10}\) 0.00001.

2025

A varies directly as b\(^2\) when A = 4, b = 1. Find A when b = 2

2025

A bird flies from a tree P on a bearing of N60º E to a building, Q, a distance of  200 km. It then changes course and flies to another tree R on a bearing of S30ºE. Tree R is directly east of tree P. Calculate the d…

2025

The second and fifth terms of a G.P are 1 and \(\frac{1}{8}\) respectively. Find the common ratio

2025

Given the construction in the figure above. What is X\(\hat{Y}\)Z 

2025

Find the sum of the entries in the inverse of \(\begin{bmatrix} 1 & 2 \\ 3 & 5 \end{bmatrix}\)

2025

If the probability of death is q and the probability of survival is p, find the probability of one death and one survival in an accident involving two persons

2025

A car dealer bought a used car for ₦270,000 and spent ₦70,000 to refurbish it. He later sold the car for ₦490,000. What was the percentage profit?

2025

If cos \(\theta\) = \(\frac{\text{x}}{\text{y}}\), find tan \(\theta\) in terms of x and y 

2025

The mean of the numbers 0, x + 2, 3x + 6, and 4x + 8 is 4, find the value of x.

2025

Express \(\sqrt[4]{0.16}\) in standard form

2025

If I is a 2 × 2 identity matrix, find the determinant of the matrix.

2025

Given that Cos A = \(\frac{12}{13}\) for 0 ≤ A ≤ 90º, find Tan A.

2025

Find the derivatives of y = sin 4x

2025

2025 JAMB UTME Mathematics Past Questions

In a basket of fruits, there are 6 grapes, 11 bananas, and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

The chord of a circle of radius 17 cm is 30 cm long. Calculate the distance of the chord from the centre of the circle.

Given that \(P = \begin{pmatrix} 1 & 3 \\ 2 & -5 \end{pmatrix}\) and Q = \(\begin{pmatrix} 3 & -7 \\ 1 & 2 \end{pmatrix}\) . Find P + 2Q

Find the value of t for which (\(\frac{1}{2}\))\(^{t - 1}\) = 64

Simplify - log\(_{10}\) 0.00001.

A varies directly as b\(^2\) when A = 4, b = 1. Find A when b = 2

A bird flies from a tree P on a bearing of N60º E to a building, Q, a distance of  200 km. It then changes course and flies to another tree R on a bearing of S30ºE. Tree R is directly east of tree P. Calculate the d…

The second and fifth terms of a G.P are 1 and \(\frac{1}{8}\) respectively. Find the common ratio

Given the construction in the figure above. What is X\(\hat{Y}\)Z

Find the sum of the entries in the inverse of \(\begin{bmatrix} 1 & 2 \\ 3 & 5 \end{bmatrix}\)

If the probability of death is q and the probability of survival is p, find the probability of one death and one survival in an accident involving two persons

A car dealer bought a used car for ₦270,000 and spent ₦70,000 to refurbish it. He later sold the car for ₦490,000. What was the percentage profit?

If cos \(\theta\) = \(\frac{\text{x}}{\text{y}}\), find tan \(\theta\) in terms of x and y

The mean of the numbers 0, x + 2, 3x + 6, and 4x + 8 is 4, find the value of x.

Express \(\sqrt[4]{0.16}\) in standard form

If I is a 2 × 2 identity matrix, find the determinant of the matrix.

Given that Cos A = \(\frac{12}{13}\) for 0 ≤ A ≤ 90º, find Tan A.

Find the derivatives of y = sin 4x

Find the limit of y = \(\frac{(x^3 - 2x^2 + 6x - 12)}{(x - 2)}\) as x goes to 2.

From the diagram above, find the area of the triangle PQR

2025 JAMB UTME Mathematics Past Questions

In a basket of fruits, there are 6 grapes, 11 bananas, and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

The chord of a circle of radius 17 cm is 30 cm long. Calculate the distance of the chord from the centre of the circle.

Given that \(P = \begin{pmatrix} 1 &amp; 3 \\ 2 &amp; -5 \end{pmatrix}\)&nbsp;and Q = \(\begin{pmatrix} 3 &amp; -7 \\ 1 &amp; 2 \end{pmatrix}\) . Find P + 2Q

Find the value of t for which (\(\frac{1}{2}\))\(^{t - 1}\) = 64

Simplify - log\(_{10}\) 0.00001.

A varies directly as b\(^2\)&nbsp;when A = 4, b = 1. Find A when b = 2

A bird flies from a tree P on a bearing of N60º E to a building, Q, a distance of&nbsp; 200 km. It then changes course and flies to another tree R on a bearing of S30ºE. Tree R is directly east of tree P. Calculate the d…

The second and fifth terms of a G.P are 1 and \(\frac{1}{8}\) respectively. Find the common ratio

Given the construction in the figure above. What is X\(\hat{Y}\)Z&nbsp;

Find the sum of the entries in the inverse of \(\begin{bmatrix} 1 &amp; 2 \\ 3 &amp; 5 \end{bmatrix}\)

If the probability of death is q and the probability of survival is p, find the probability of one death and one survival in an accident involving two persons

A car dealer bought a used car for ₦270,000 and spent ₦70,000 to refurbish it. He later sold the car for ₦490,000. What was the percentage profit?

If cos \(\theta\) = \(\frac{\text{x}}{\text{y}}\), find tan \(\theta\) in terms of x and y&nbsp;

The mean of the numbers 0, x + 2, 3x + 6, and 4x + 8 is 4, find the value of x.

Express \(\sqrt[4]{0.16}\) in standard form

If I is a 2 × 2 identity matrix, find the determinant of the matrix.

Given that Cos A = \(\frac{12}{13}\) for 0 ≤ A ≤ 90º, find Tan A.

Find the derivatives of y = sin 4x

Find the limit of y = \(\frac{(x^3&nbsp;- 2x^2&nbsp;+ 6x - 12)}{(x - 2)}\) as x goes to 2.

From the diagram above, find the area of the triangle PQR

Given that \(P = \begin{pmatrix} 1 & 3 \\ 2 & -5 \end{pmatrix}\) and Q = \(\begin{pmatrix} 3 & -7 \\ 1 & 2 \end{pmatrix}\) . Find P + 2Q

A varies directly as b\(^2\) when A = 4, b = 1. Find A when b = 2

A bird flies from a tree P on a bearing of N60º E to a building, Q, a distance of 200 km. It then changes course and flies to another tree R on a bearing of S30ºE. Tree R is directly east of tree P. Calculate the d…

Given the construction in the figure above. What is X\(\hat{Y}\)Z

Find the sum of the entries in the inverse of \(\begin{bmatrix} 1 & 2 \\ 3 & 5 \end{bmatrix}\)

If cos \(\theta\) = \(\frac{\text{x}}{\text{y}}\), find tan \(\theta\) in terms of x and y

Find the limit of y = \(\frac{(x^3 - 2x^2 + 6x - 12)}{(x - 2)}\) as x goes to 2.