Mathematics Past Questions

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Past Questions

2,359 questions
Question 1 of 20 2,359 total questions
Question 1
jamb 2025

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

A\(\frac{\sqrt{48}}{13}\), \(\sqrt{48}\)
B\(\frac{\sqrt{48}}{11}\), \(\sqrt{48}\)
C\(\frac{\sqrt{13}}{11}\), \(\sqrt{13}\)
D\(\frac{13}{\sqrt{48}}\), \(\sqrt{48}\)
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Question 2
jamb 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 distance of the building to tree R.

A200\(\sqrt{3}\)
B100\(\sqrt{3}\)
C100
D\(\frac{200}{\sqrt{3}}\)
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Question 3
jamb 2025

From the table above, determine the upper - class boundary of the modal class

A21.5
B30.5
C20.5
D10.5
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Question 4
jamb 2025

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

A14
B4
C7
D5
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Question 5
jamb 2025

The table above shows the weights of twelve mathematics students. Find the modal weight.

A54
B58
C60
D62
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Question 6
jamb 2025

In the Venn diagram above, the shaded region is 

A(P \(\cap\) Q)' \(\cap\) R
B(P \(\cap\) Q) \(\cup\) R)
C(P \(\cup\) Q) \(\cap\) R
D(P U R)' \(\cap\) Q
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Question 7
jamb 2025

The figure above is a pie chart. Use it to find in degrees those who are doctors 

A60\(^\circ\).
B72\(^\circ\).
C90\(^\circ\).
D84\(^\circ\).
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Question 8
jamb 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

A\(\begin{pmatrix} 7 & -11 \\ 4 & -1 \end{pmatrix}\)
B\(\begin{pmatrix} 7 & -11 \\ 4 & -9 \end{pmatrix}\)
C\(\begin{pmatrix} -7 & 11 \\ -4 & -1 \end{pmatrix}\)
D\(\begin{pmatrix}11 & -7 \\ 4 & -1 \end{pmatrix}\)
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Question 9
jamb 2025

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

A\(\frac{\sqrt{y^2 - x^2}}{x}\)
B\(\frac{\sqrt{y^2 + x^2}}{x}\)
C\(\frac{\sqrt{y + x}}{x}\)
D\(\frac{\sqrt{x^2 - y^2}}{x}\)
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Question 10
jamb 2025

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

A\(4\sqrt{3}\)
B\(5\sqrt{3}\)
C\(3\sqrt{3}\)
D\(6\sqrt{3}\)
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Question 11
jamb 2025

Solve x\(^2\) + 3x - 4  ≤ 0

A-4 \(\geq\) x \(\geq\) 1
B4 \(\leq\) x \(\leq\) - 1
C4 \(\geq\) x \(\geq\) 1
D\(- 4 \leq x \leq 1\)
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Question 12
jamb 2025

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

A2 \(\times 10^{-\frac{1}{2}}\)
B2 \(\times 10^2\)
C2 \(\times 10^{-2}\)
D2 \(\times 10^{\frac{1}{2}}\)
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Question 13
jamb 2025

Integrate the function y = 3x\(^2\) + 2x - 5 with respect to x.

Ax\(^3\) + x\(^2\) - 5x + C
Bx\(^2\) + 2x\(^2\) - 5x + C
Cx\(^2\) + 2x - 5 + C
Dx\(^3\) + 2x - 5 + C
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Question 14
jamb 2025

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

A132\(_{four}\)
B312\(_{four}\)
C123\(_{four}\)
D321\(_{four}\)
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Question 15
jamb 2025

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

A-6
B-5
C-7
D-4
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Question 16
jamb 2025

From the table above, estimate the mode of the distribution.

A37.8
B38.5
C29.5
D34.5
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Question 17
jamb 2025

The word HANDIER can be arranged in how many ways

A3080
B2650
C4050
D5040
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Question 18
jamb 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

A68
B64
C66
D62
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Question 19
jamb 2025

Convert 137 to base 5

A\( 1022_5 \)
B\( 2102_5 \).
C\( 2210_5 \).
D\( 2201_5 \).
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Question 20
jamb 2025

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

A60º
B30º
C75º
D45º
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