Mathematics Past Questions


Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Study the following Mathematics past questions and answers for JAMB, WAEC, NECO and Post UTME. Prepare yourself with official past questions and answers for your upcoming examinations.

JAMB Syllabus for Mathematics


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Question 1

Differentiate \((2x+5)^2(x-4)\) with respect to x.

Options

A) \(4(2x+5)(x-4)\)

B) \(4(2x+5)(4x-3)\)

C) \((2x+5)(2x-13)\)

D) \((2x+5)(6x-11)\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 2

Find the area bounded by the curves \(y = 4 - x^2\) and \(y = 2x + 1\)

Options

A) \(20\frac{1}{3}\) sq. units

B) \(20\frac{2}{3}\) sq. units

C) \(10\frac{2}{3}\) sq. units

D) \(10\frac{1}{3}\) sq. units

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 3

Find the rate of change of the volume, \(V\) of a sphere with respect to its radius, \(r\) when \(r = 1.\)

Options

A) \(12\pi\)

B) \(4\pi\)

C) \(24\pi\)

D) \(8\pi\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 4

If \(y = x \; \mathrm{sin} \; x,\) find \(\frac{dy}{dx}\) when \(x = \frac{\pi}{2}.\)

Options

A) \(\frac{- \pi}{2}\)

B) \(-1\)

C) \(1\)

D) \(\frac{\pi}{2}\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 5

Find the dimensions of a rectangle of greatest area which has a fixed perimeter \(p.\)

Options

A) square of sides \(p\)

B) square of sides \(2p\)

C) square of sides \(\frac{p}{2}\)

D) square of sides \(\frac{p}{4}\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 6

Given the scores: \(4, 7, 8, 11, 13, 8\) with corresponding frequencies: \(3, 5, 2, 7, 2, 1\) respectively. Find the square of the mode.

Options

A) \(49\)

B) \(121\)

C) \(25\)

D) \(64\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 7

Teams \(P\) and \(Q\) are involved in a game of football. What is the probability that the game ends in a draw?

Options

A) \(\frac{2}{3}\)

B) \(\frac{1}{2}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{4}\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 8

Given the scores: \(4, 7, 8, 11, 13, 8\) with corresponding frequencies: \(3, 5, 2, 7, 2, 1\) respectively. The mean score is

Options

A) \(7.0\)

B) \(8.7\)

C) \(9.5\)

D) \(11.0\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 9

If \(^6\mathrm{P}_r = 6,\) find the value of \(^6\mathrm{P}_{r + 1}\)

Options

A) \(30\)

B) \(33\)

C) \(35\)

D) \(15\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)

Question 10

Given distribution of color beads: blue, black, yellow, white and brown with frequencies \(1, 2, 3, 4,\) and \(5\) respectively. Find the probability that a bead picked at random will be blue or white.

Options

A) \(\frac{7}{15}\)

B) \(\frac{2}{5}\)

C) \(\frac{1}{3}\)

D) \(\frac{1}{15}\)

Exam Body: Joint Admissions and Matriculation Board (JAMB)