2025 JAMB UTME Mathematics Past Questions

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2025

The average weight of 15 iron bars is 1000 kg. If the heaviest iron bar is removed, the average weight is reduced by 5 kg. Find the weight in kg of the heaviest iron bar.

2025

A banker spent \(\frac{1}{5}\) of his salary on shirts,  \(\frac{1}{3}\) of the remainder on transport, and kept the rest for contingencies. What fraction was left

2025

Solve x\(^2\) + 3x - 4  ≤ 0

2025

P is partly constant and varies partly as Q. If P = 32 when Q = 16 and P = 20 when Q = 12, find P when Q = 28

2025

An amount of # 600,000.00 was realized when a principal y was saved for 5% simple interest for 4 years, find the value of y

2025

Given the progression 3, 5, 7, 9,.... . . . find an expression for the (n - 2)\(^{th}\) term of the progression.

2025

Given the triangle XYZ above, calculate the value of Cot \(\theta\) and the length XY, respectively

2025

Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?

2025

Convert 137 to base 5

2025

Solve the inequality 2x + 3 > 5x + 8

2025

If 54\(_{ten}\) = X\(_{four}\), find the value of X to 3 decimal point

2025

Integrate y = 4x\(^3\) + 2x + cos x.

2025

The set {1,2,3,4,5} is equivalent to

2025

Solve for y in \(\sqrt{75}\) - \(\sqrt{12}\) + \(\sqrt{27}\) = y\(\sqrt{3}\)

2025

The determinant of the matrix  \(A = \begin{pmatrix} -2 & 3 & 1 \\ p & 2 & 1 \\ 1 & 4 & 2\end{pmatrix}\) is -5. Find the value of p.

2025

In the Venn diagram above, the shaded region is 

2025

A binary operation * is defined on the set X = {1, 2, 3, 4, 5, 6} as ab = ab + a + b. Compute 1 3 

2025

Simplify (\(\frac{3}{4} \div 2\frac{1}{4}\)) of 1 \(\frac{7}{11}\) (3 \(\frac{2}{3}\) - \(\frac{15}{6}\))

2025

Find the probability of getting an even number in a single throw of a six-sided die.

2025

Solve the simultaneous equation \(\frac{\text{x}}{2}\) - \(\frac{\text{y}}{5}\) = 1 and y - \(\frac{\text{x}}{3}\) = 8 

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2025 JAMB UTME Mathematics Past Questions

The average weight of 15 iron bars is 1000 kg. If the heaviest iron bar is removed, the average weight is reduced by 5 kg. Find the weight in kg of the heaviest iron bar.

A banker spent \(\frac{1}{5}\) of his salary on shirts,&nbsp; \(\frac{1}{3}\) of the remainder on transport, and kept the rest for contingencies. What fraction was left

Solve x\(^2\) + 3x - 4&nbsp;&nbsp;≤ 0

P is partly constant and varies partly as Q. If P = 32 when Q = 16 and P = 20 when Q = 12, find P when Q = 28

An amount of # 600,000.00 was realized when a principal y was saved for 5% simple interest for 4 years, find the value of y

Given the progression 3, 5, 7, 9,.... . . . find an expression for the (n - 2)\(^{th}\) term of the progression.

Given the triangle XYZ above, calculate the value of Cot \(\theta\) and the length XY, respectively

Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?

Convert 137 to base 5

Solve the inequality 2x + 3 &gt; 5x + 8

If 54\(_{ten}\) = X\(_{four}\), find the value of X to 3 decimal point

Integrate y = 4x\(^3\)&nbsp;+ 2x + cos x.

The set {1,2,3,4,5} is equivalent to

Solve for y in \(\sqrt{75}\) - \(\sqrt{12}\) + \(\sqrt{27}\) = y\(\sqrt{3}\)

The determinant of the matrix&nbsp; \(A = \begin{pmatrix} -2 &amp; 3 &amp; 1 \\ p &amp; 2 &amp; 1 \\ 1 &amp; 4 &amp; 2\end{pmatrix}\)&nbsp;is -5. Find the value of p.

In the Venn diagram&nbsp;above, the shaded region is&nbsp;

A binary operation * is defined on the set X = {1, 2, 3, 4, 5, 6} as a*b = ab + a + b. Compute 1 * 3&nbsp;

Simplify (\(\frac{3}{4} \div&nbsp;2\frac{1}{4}\)) of 1 \(\frac{7}{11}\) (3 \(\frac{2}{3}\) - \(\frac{15}{6}\))

Find the probability of getting an even number in a single throw of a six-sided die.

Solve the simultaneous equation \(\frac{\text{x}}{2}\) - \(\frac{\text{y}}{5}\) = 1 and y -&nbsp;\(\frac{\text{x}}{3}\) = 8&nbsp;

A banker spent \(\frac{1}{5}\) of his salary on shirts, \(\frac{1}{3}\) of the remainder on transport, and kept the rest for contingencies. What fraction was left

Solve x\(^2\) + 3x - 4 ≤ 0

Solve the inequality 2x + 3 > 5x + 8

Integrate y = 4x\(^3\) + 2x + cos x.

The determinant of the matrix \(A = \begin{pmatrix} -2 & 3 & 1 \\ p & 2 & 1 \\ 1 & 4 & 2\end{pmatrix}\) is -5. Find the value of p.

In the Venn diagram above, the shaded region is

A binary operation * is defined on the set X = {1, 2, 3, 4, 5, 6} as ab = ab + a + b. Compute 1 3

Simplify (\(\frac{3}{4} \div 2\frac{1}{4}\)) of 1 \(\frac{7}{11}\) (3 \(\frac{2}{3}\) - \(\frac{15}{6}\))

Solve the simultaneous equation \(\frac{\text{x}}{2}\) - \(\frac{\text{y}}{5}\) = 1 and y - \(\frac{\text{x}}{3}\) = 8