Classroom

Mathematics Past Questions

Study and practice Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.

46 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

Select subject

Download PHP app Ask a Question Check Syllabus Past Question Videos Topic Video Lessons

Take a test

Custom CBT

Create and set up a CBT environment with your preferred subjects.

JAMB CBT Simulator

Practice JAMB CBT with real UTME past questions in CBT format.

WAEC CBT Practice 2026 Simulator

CB-WASSCE styled past question practice.

NECO CBT Practice 2026 Simulator

SSCE & GCE styled past question practice.

Past Questions

46 questions

Question 1 of 20 46 total questions

Question 11

jamb 1995

Two perpendicular lines PQ and QR intersect at (1, -1). If the equation of PQ is x - 2y + 4 = 0, find the equation of QR

Ax + 2y - 1= -0

B2x + y - 3 = 0

Cx - 2y - 3 = 0

D2x + y - 1 = 0

View Explanation & Discuss

Question 12

jamb 1995

Find the distance between two towns P(45°N, 30°W) and Q(15°S, 30°W) if the radius of the earth is 7000km. [\(\pi = \frac{22}{7}\)]

A\(\frac{11000}{3}\)km

B\(\frac{2200}{3}\)km

C\(\frac{22000}{3}\)km

D\(\frac{1100}{3}\)km

View Explanation & Discuss

Question 13

jamb 1995

In a triangle XYZ, < YXZ = 44° and < XYZ = 112°. Calculate the acute angle between the internal bisectors of < XYZ and < XZY.

A12^o

B56^o

C68^o

D78^o

View Explanation & Discuss

Question 14

jamb 1995

If x = \(\begin{pmatrix} 1 & 2 \\ 0 & 3 \end{pmatrix}\) and y = \(\begin{pmatrix} 2 & 1 \\ 4 & 3 \end{pmatrix}\). Find xy.

A\(\begin{pmatrix} 10 & 7 \\ 12 & 9 \end{pmatrix}\)

B\(\begin{pmatrix} 2 & 7 \\ 4 & 17 \end{pmatrix}\)

C\(\begin{pmatrix} 10 & 4 \\ 4 & 6 \end{pmatrix}\)

D\(\begin{pmatrix} 4 & 3 \\ 10 & 9 \end{pmatrix}\)

View Explanation & Discuss

Question 15

jamb 1995

\(\begin{vmatrix} -2 & 1 & 1 \\ 2 & 1 & k \\1 & 3 & -1 \end{vmatrix}\) = 23

View Explanation & Discuss

Question 16

jamb 1995

Find the sum to infinity of the following sequence \(1, \frac{9}{10}, (\frac{9}{10})^{2}, (\frac{9}{10})^{3}\)

A\(\frac{1}{10}\)

B\(\frac{9}{10}\)

C\(\frac{10}{9}\)

D10

View Explanation & Discuss

Question 17

jamb 1995

If a \(\ast\) b = + \(\sqrt{ab}\), evaluate 2 \(\ast\)(12 \(\ast\) 27)

A12

View Explanation & Discuss

Question 18

jamb 1995

Which of the following binary operations is cumulative on the set of integers?

Aa \(\ast\) b = a + 2b

Ba \(\ast\) b = a + b - ab

Ca \(\ast\) b = a² + b

Da \(\ast\) b = \(\frac{a(b + 1)}{2}\)

View Explanation & Discuss

Question 19

jamb 1995

Express \(\frac{5x - 12}{(x - 2)(x - 3)}\) in partial fractions

A\(\frac{2}{x + 2} - \frac{3}{x - 3}\)

B\(\frac{2}{x - 2} + \frac{3}{x - 3}\)

C\(\frac{2}{x - 3} - \frac{3}{x - 2}\)

D\(\frac{5}{x - 3} - \frac{4}{x - 2}\)

View Explanation & Discuss

Question 20

jamb 1995

Simplify \(\frac{x^2 - 1}{x^3 + 2x^2 - x - 2}\)

A\(\frac{1}{x + 2}\)

B\(\frac{x - 1}{x + 1}\)

C\(\frac{x - 1}{x + 2}\)

D\(\frac{1}{x - 2}\)

View Explanation & Discuss

Question 21

jamb 1995

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 21st term.

A175

B85

C64

D45

View Explanation & Discuss

Question 22

jamb 1995

Solve the inequality (x - 3)(x - 4) \(\leq\) 0

A3 \(\leq\) x \(\leq\) 4

B3 < x < 4

C3 \(\leq\) x < 4

D3 < x \(\leq\) 4

View Explanation & Discuss

Question 23

jamb 1995

Factorize completely the expression \(abx^2 + 6y - 3ax - 2byx\)

A(ax - 2y)(bx - 3)

B(bx + 3)(2y - ax)

C(bx + 3)(ax - 2y)

D(ax - 2y)(ax - b)

View Explanation & Discuss

Question 24

jamb 1995

The graph of f(x) = x² - 5x + 6 crosses the x-axis at the points

A(-6, 0), (-1, 0)

B(-3, 0), (-2,0)

C(-6, 0),(1, 0)

D(2, 0), (3, 0)

View Explanation & Discuss

Question 25

jamb 1995

Find T in terms of K, Q, and S if S = 2r\(\sqrt{\pi(QT + K)}\)

A\(\frac{S^2}{2 \pi r^2Q} - \frac{k}{Q}\)

B\(\frac{S^2}{2 \pi r^2Q}\) - k

C\(\frac{S^2}{4 \pi r^2Q} - \frac{k}{Q}\)

D\(\frac{s^2}{4 \pi r^2Q}\)

View Explanation & Discuss

Question 26

jamb 1995

Finds a positive value of p if the expression 2x² - px + p leaves a remainder 6 when divided by x - p and q

View Explanation & Discuss

Question 27

jamb 1995

If x - 1 and x + 1 are both factors of the equation x\(^3\) + px\(^2\) + qx + 6 = 0, evaluate p and q

A-6, -1

B6, 1

C1, -1

D6, -6

View Explanation & Discuss

Question 28

jamb 1995

If S = (x : x\(^2\) = 9, x > 4), then S is equal to

B{0}

C\(\emptyset\)

D{\(\emptyset\)}

View Explanation & Discuss

Question 29

jamb 1995

Four members of a school first eleven cricket team are also members of the first fourteen rugby team. How many boys play for at least one of the two teams?

A25

B21

C16

View Explanation & Discuss

Question 30

jamb 1995

Simplify \(\frac{\sqrt{12} - \sqrt{3}}{\sqrt{12} + \sqrt{3}}\)

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

C16cm

View Explanation & Discuss

Question Navigator

Current

Mathematics Past Questions

Take a test

Custom CBT

JAMB CBT Simulator

WAEC CBT Practice 2026 Simulator

NECO CBT Practice 2026 Simulator

Past Questions

Question Navigator

MathsFaculty