2024 JAMB UTME Mathematics Past Questions

2024

(\(\sqrt{a} +\sqrt{8a})^2\) = 54 + b\(\sqrt{2}\), a and b are positive integers. Find the value of a and the value of b.

2024

Make q the subject of the relation t = \(\sqrt{(\frac{pq}{r} - r^2q)}\)

2024

The number of 144 students who registered for mathematics, physics, and chemistry in an examination are shown in the Venn diagram. How many registered for physics and mathematics?

2024

The weights of 15 students in a class are given as 25, 30, 32, 30, 42, 45, 48, 50, 52, 51, 42, 38, 40, and 42. What is the mode of the given data?

2024

A binary operation * is defined on a set of real numbers by xy = x\(^y\) for all values of x and y, if x 2 = x, find the possible values of x.

2024

If tan\(\theta\) = \(\frac{8}{15}\), simplify \(\frac{ Sin\theta - Cos\theta}{Sin^2\theta - Sin\theta}\)

2024

If A = \(\begin{pmatrix}3 & 2 & 1\\4 & 2 & -1\end{pmatrix}\) and B = \(\begin{pmatrix}1 & 4\\0 & 1\\3 & 2\end{pmatrix}\). Find A\(^T\) + B, ( where T means transpose)

2024

Given P = \(\begin{bmatrix}1 & 2\\2 & 3\end{bmatrix}\), find P\(^2\) - 4P - I where I is the identity matrix

2024

If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y

2024

Find the roots of x\(^3\) - 19x - 30=0

2024

If B varies inversely as c\(^{\frac{1}{3}}\) and C = 27 when B = 2, find the value of the constant of proportionality K.

2024

U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.

2024

A bag contains 7 red and 4 black identical balls. Two balls were picked at random from the bag and replaced each time. Find the probability the two balls were of same colour.

2024

In how many ways can a committee of 5 be selected from a group of 7 males and 3 females, if the committee must have one female?

2024

From a class of 5 girls and 7 boys, a committee consisting of 2 girls and 3 boys is to be formed. How many ways can this be done?

2024

Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8

2024

Find the variance of a group of data whose standard deviation is 12.34 to the nearest whole number.

2024

The mean of the numbers 13, 16, x, 18, 21, 2x, 35, is 22. Find the value of x

2024

Differentiate Cos25º - Sin 25º

2024

How many proper and improper subsets are there in the set K = { a, b, c, d, e}?

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2024 JAMB UTME Mathematics Past Questions

(\(\sqrt{a} +\sqrt{8a})^2\) = 54 + b\(\sqrt{2}\), a and b are positive integers. Find the value of a and the value of b.

Make q the subject of the relation t = \(\sqrt{(\frac{pq}{r} - r^2q)}\)

The number of 144 students who registered for mathematics, physics, and chemistry in an examination are shown in the Venn diagram. How many registered for physics and mathematics?

The weights of 15 students in a class are given as 25, 30, 32, 30, 42, 45, 48, 50, 52, 51, 42, 38, 40, and 42. What is the mode of the given data?

A binary operation * is defined on a set of real numbers by x*y = x\(^y\) for all values of x and y, if x * 2 = x, find the possible values of x.

If tan\(\theta\) = \(\frac{8}{15}\), simplify \(\frac{ Sin\theta - Cos\theta}{Sin^2\theta - Sin\theta}\)

If A = \(\begin{pmatrix}3 &amp; 2 &amp; 1\\4 &amp; 2 &amp; -1\end{pmatrix}\) and B = \(\begin{pmatrix}1 &amp; 4\\0 &amp; 1\\3 &amp; 2\end{pmatrix}\). Find A\(^T\) + B, ( where T means transpose)

Given P = \(\begin{bmatrix}1 &amp; 2\\2 &amp; 3\end{bmatrix}\), find P\(^2\) - 4P - I where I is the identity matrix

If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y

Find the roots of x\(^3\) - 19x - 30=0

If B varies inversely as c\(^{\frac{1}{3}}\) and C = 27 when B = 2, find the value of the constant of proportionality K.

U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.

A bag contains 7 red and 4 black identical balls. Two balls were picked at random from the bag and replaced each time. Find the probability the two balls were of same colour.

In how many ways can a committee of 5 be selected from a group of 7 males and 3 females, if the committee must have one female?

From a class of 5 girls and 7 boys, a committee consisting of 2 girls and 3 boys is to be formed. How many ways can this be done?

Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8

Find the variance of a group of data whose standard deviation is 12.34 to the nearest whole number.

The mean of the numbers 13, 16, x, 18, 21, 2x, 35, is 22. Find the value of x

Differentiate Cos25º - Sin 25º

How many proper and improper subsets are there in the set K = { a, b, c, d, e}?

A binary operation * is defined on a set of real numbers by xy = x\(^y\) for all values of x and y, if x 2 = x, find the possible values of x.

If A = \(\begin{pmatrix}3 & 2 & 1\\4 & 2 & -1\end{pmatrix}\) and B = \(\begin{pmatrix}1 & 4\\0 & 1\\3 & 2\end{pmatrix}\). Find A\(^T\) + B, ( where T means transpose)

Given P = \(\begin{bmatrix}1 & 2\\2 & 3\end{bmatrix}\), find P\(^2\) - 4P - I where I is the identity matrix