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.

2,359 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

2,359 questions

Question 1 of 20 2,359 total questions

Question 831

jamb 1992

a student blows a balloon and its volume increases at a rate of \(\pi\)(20 - t²)cm³S^-1 after t seconds. If the initial volume is 0 cm³, find the volume of the balloon after 2 seconds

A37.00\(\pi\)

B37.33\(\pi\)

C40.00\(\pi\)

D42.67\(\pi\)

View Explanation & Discuss

Question 832

jamb 1992

Obtain a maximum value of the function f(x) x\(^3\) - 12x + 11

A-5

B-2

D27

View Explanation & Discuss

Question 833

jamb 1992

Ice forms on a refrigerator ice-box at the rate of (4 - 06t)g per minute after t minutes. If initially there are 2g of ice in the box, find the mass of ice formed in 5 minutes

A19.5

B17.0

C14.5

D12.5

View Explanation & Discuss

Question 834

jamb 1992

If y = x sin x, Find \(\frac{d^2 y}{d^2 x}\)

A2 cosx - x sinx

Bsinx + x cosx

Csinx - x cosx

Dx sinx - 2 cosx

View Explanation & Discuss

Question 835

jamb 1992

Evaluate \(\lim \limits_{x \to 2} \frac{(x - 2)(x^2 + 3x - 2)}{x^2 - 4}\)

View Explanation & Discuss

Question 836

jamb 1992

Given that \(\theta\) is an acute angle and sin \(\theta\) = \(\frac{m}{n}\), find cos \(\theta\)

A\(\frac{\sqrt{n^2 - m^2}}{m}\)

B\(\frac{\sqrt{(n + m)(n - m)}}{n}\)

C\(\frac{m}{\sqrt{n^2 - m^2}}\)

D\(\sqrt{\frac{n}{n^2 - m^2}}\)

View Explanation & Discuss

Question 837

jamb 1992

find then equation line through (5, 7) parallel to the line 7x + 5y = 12

A5x + 7y = 120

B7x + 5y = 70

Cx + y = 7

D15x + 17y = 90

View Explanation & Discuss

Question 838

jamb 1992

What is the perpendicular distance of a point (2, 3) from the line 2x - 4y + 3 = 0?

A\(\frac{\sqrt{5}}{2}\)

B\(\frac{\sqrt{5}}{20}\)

C\(\frac{5}{\sqrt{13}}\)

View Explanation & Discuss

Question 839

jamb 1992

The locus of a point which is equidistant from two given fixed points is the

Aperpendicular bisector of the straight line joining them

Bparallel line to the straight line joining them

Ctransverse to the straight line joining them

Dangle bisector of 90^o which the straight line joining them makes with the horizontal

View Explanation & Discuss

Question 840

jamb 1992

X is a point due east of point Y on a coast: Z is another point on the coast but 6√3km due south of y.

If the distance XZ is 12Km. Calculate the bearing of Z from X

A240^o

B210^o

C150^o

D60^o

View Explanation & Discuss

Question 841

jamb 1992

If in the diagram, FG is parallel to KM, find the value of x

A75^o

B95^o

C105^o

D125^o

View Explanation & Discuss

Question 842

jamb 1992

Determine the distance on the earth's surface between two town P (lat 60°N, Long 20°E) and Q(Lat 60°N, Long 25°W) (Radius of the earth = 6400km)

A\(\frac{800\pi}{9}\)km

B\(\frac{800\sqrt{3\pi}}{9}\)km

C800\(\pi\) km

D800\(\sqrt{3\pi}\) km

View Explanation & Discuss

Question 843

jamb 1992

If the angles of quadrilateral are (p + 10)°, (2p - 30)°, (3p + 20)° and 4p°, find p.

A63

B40

C36

D28

View Explanation & Discuss

Question 844

jamb 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)

Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\)
PQ is equivalent to

APP^T

Bpp^-1

Cqp

Dpp

View Explanation & Discuss

Question 845

jamb 1992

p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\)

Q = \(\begin{vmatrix} x & 2 & z \\ 3 & y & 2\\ 0 & 3 & z \end{vmatrix}\) Where p^T is the transpose P calculate /p^T/ when x = 0, y = 1 and z = 2

A48

B24

C-24

D-48

View Explanation & Discuss

Question 846

jamb 1992

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

Ae = 1

Be = -1

Ce = -2

De = 0

View Explanation & Discuss

Question 847

jamb 1992

For an arithmetical sequence, the first term is 2 and the common difference is 3. Find the sum of the first 11 terms

A157

B187

C197

D200

View Explanation & Discuss

Question 848

jamb 1992

What is the n-th term of the sequence 2, 6, 12, 20...?

A4n - 2

B2(3^{n - 1})

Cn² + n

Dn² + 3n + 2

View Explanation & Discuss

Question 849

jamb 1992

Find the sum to infinity to the following series 3 + 2 + \(\frac{4}{3}\) + \(\frac{8}{9}\) + \(\frac{16}{17}\) + .....

A1270

B190

C18

View Explanation & Discuss

Question 850

jamb 1992

Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28

A-5 \(\leq\) x \(\geq\) 8

B5 \(\leq\) x \(\leq\) 8

C-8 \(\leq\) x \(\leq\) 5

D-5 < x \(\leq\) 8

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