JAMB Mathematics Past Questions and Answers

682 questions from 16 JAMB Mathematics papers, 2010 to 2025. Pick a year to see 10 of its questions with answers.

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Sample questions from JAMB 2025

JAMB 2025Question 1 · Algebraic Processes

Solve the simultaneous equations

\frac{x}{2} - \frac{y}{5} = 1

and

y - \frac{x}{3} = 8

A. $x = 10, y = - 6$
B. $x = 10, y = 6$
C. $x = 6, y = 10$
D. $x = 10, y = 6$

Show answer

Answer: C. $x = 6, y = 10$

Multiply the first equation by 10: $5 x - 2 y = 10$ . From the second, $x = 3 y - 24$ . Substituting: $5 (3 y - 24) - 2 y = 10$ , so $15 y - 120 - 2 y = 10$ , $13 y = 130$ , $y = 10$ , then $x = 3 (10) - 24 = 6$ .

JAMB 2025Question 2 · Algebraic Processes

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

A. $68$
B. $64$
C. $66$
D. $62$

Show answer

Answer: A. $68$

Let $P = a + b Q$ . Then $32 = a + 16 b$ and $20 = a + 12 b$ . Subtracting: $12 = 4 b$ , so $b = 3$ , and $a = 32 - 16 (3) = - 16$ . When $Q = 28$ : $P = - 16 + 3 (28) = - 16 + 84 = 68$ .

JAMB 2025Question 3 · Coordinate Geometry and Trigonometry

Find the coordinates of the midpoint of line

P Q

given

P (- 3, 4)

and

Q (5, 6)

A. $(1, 4)$
B. $(4, 1)$
C. $(5, 1)$
D. $(1, 5)$

Show answer

Answer: D. $(1, 5)$

Midpoint $= (\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2}) = (\frac{- 3 + 5}{2}, \frac{4 + 6}{2}) = (1, 5)$ .

JAMB 2025Question 4 · Geometry and Mensuration

A = \frac{θ}{360} π r^{2}

, make

θ

the subject of the formula.

A. $θ = \frac{360}{π A}$
B. $θ = \frac{360 A}{π θ}$
C. $θ = \frac{360 A}{π r ^{2}}$
D. $θ = \frac{360 r ^{2}}{π A}$

Show answer

Answer: C. $θ = \frac{360 A}{π r ^{2}}$

Multiply both sides by 360: $360 A = θ π r^{2}$ . Divide both sides by $π r^{2}$ : $θ = \frac{360 A}{π r ^{2}}$ .

JAMB 2025Question 5 · Sequences, Series, and Variation

The second and fifth terms of a G.P are

1

and

\frac{1}{8}

respectively. Find the common ratio.

A. $\frac{1}{4}$
B. $\frac{1}{5}$
C. $\frac{1}{2}$
D. $\frac{1}{3}$

Show answer

Answer: C. $\frac{1}{2}$

$\frac{T _{5}}{T _{2}} = r^{3} = \frac{1/8}{1} = \frac{1}{8}$ , so $r = \frac{1}{2}$ .

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Topics that come up most

Number, Fractions, and Approximation · 134
Algebraic Processes · 92
Statistics and Probability · 92
Geometry and Mensuration · 73
Coordinate Geometry and Trigonometry · 67
Calculus · 61
Sequences, Series, and Variation · 50
Inequalities, Permutation, and Combination · 42
Sets and Binary Operations · 40
Commercial Arithmetic · 31

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JAMB Mathematics Past Questions and Answers

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