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.

4,407 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

4,407 questions

Question 1 of 20 4,407 total questions

Question 1901

jamb 1989

If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is

A(2.6, 2.6)

B(2.5, 2.6)

C(2.6, 2.5)

D(2.5, 2.1)

View Explanation & Discuss

Question 1902

jamb 1989

In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted, the average age drops to 12 years. What is the age of the grandfather?

A35 years

B40 years

C42 years

D54 years

View Explanation & Discuss

Question 1903

jamb 1989

In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represents meat in pie chart

A30^o

B60^o

C112.5^o

D157.5^o

View Explanation & Discuss

Question 1904

jamb 1989

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT

A2\(\sqrt{5}\)

D4\(\sqrt{3}\)

View Explanation & Discuss

Question 1905

jamb 1989

A cylindrical metal pipe 1m long has an outer diameter of 7.2cm and an inner diameter of 2.8cm. Find the volume of metal used for the cylinder

A440\(\pi\)cm³

B1100\(\pi\)cm³

C4400\(\pi\)cm³

D11,000\(\pi\)cm³

View Explanation & Discuss

Question 1906

jamb 1989

A square tile has side 30cm. How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

A336

B420

C576

D720

View Explanation & Discuss

Question 1907

jamb 1989

4sin² x - 3 = 0, find x if 0 \(\geq\) x \(\geq\) 90^o

A30^o

B45^o

C60^o

D9^o

View Explanation & Discuss

Question 1908

jamb 1989

The pilot of an aeroplane, flying 10km above the ground in the direction of a landmark, views the landmark to have angles of depression of 35^o and 55^o. Find the distance between the two points of observation

A10(sin 35^o - sin 55^o)

B10 cos35^o - cos 55^o

C10(tan35^o - tan55^o)

D10(cot35^o - cot55^o)

View Explanation & Discuss

Question 1909

jamb 1989

if x : y = 5 : 12 and z = 52cm, find the perimeter of the triangle.

A68cm

B84cm

C100cm

D120cm

View Explanation & Discuss

Question 1910

jamb 1989

In XYZ, y = z = 30° and XZ = 3cm. Find YZ

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

B3\(\frac{\sqrt{3}}{2}\) cm

C3\(\sqrt{3}\) cm

D2\(\sqrt{3}\) cm

View Explanation & Discuss

Question 1911

jamb 1989

PQRS is a rhombus. If PR\(^2\) + QS\(^2\) = kPQ\(^2\), determine k.

View Explanation & Discuss

Question 1912

jamb 1989

A regular polygon of (2k + 1) sides has 140° as the size of each interior angle. Find k

B4\(\frac{1}{2}\)

D8\(\frac{1}{2}\)

View Explanation & Discuss

Question 1913

jamb 1989

If -8, m, n, 19 are in arithmetic progression, find (m, n)

A1, 10

B2, 10

C3, 13

D4, 16

View Explanation & Discuss

Question 1914

jamb 1989

The sum of the first two terms of a geometric progression is x and sum of the last terms is y. If there are n terms in all, then the common ratio is

A\(\frac{x}{y}\)

B\(\frac{y}{x}\)

C(\(\frac{x}{y}\))^{\(\frac{1}{n - 2}\)}

D(\(\frac{y}{x}\))^{\(\frac{1}{n - 2}\)}

View Explanation & Discuss

Question 1915

jamb 1989

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

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

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

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

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

View Explanation & Discuss

Question 1916

jamb 1989

Express \(\frac{1}{x + 1}\) - \(\frac{1}{x - 2}\) as a single algebraic fraction

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

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

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

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

View Explanation & Discuss

Question 1917

jamb 1989

find the range of values of values of r which satisfies the following inequality, where a, b and c are positive \(\frac{r}{a}\) + \(\frac{r}{b}\) + \(\frac{r}{c}\) > 1

Ar > \(\frac{abc}{bc + ac + ab}\)

Br < abc

Cr > \(\frac{1}{a}\) + \(\frac{1}{b}\) + \(\frac{1}{c}\)

D. \(\frac{1}{abc}\)

View Explanation & Discuss

Question 1918

jamb 1989

What value of Q will make the expression 4x² + 5x + Q a complete square?

A\(\frac{25}{16}\)

B\(\frac{25}{64}\)

C\(\frac{5}{8}\)

D\(\frac{5}{4}\)

View Explanation & Discuss

Question 1919

jamb 1989

Solve the pair of equation for x and y respectively \(2x^{-1} - 3y^{-1} = 4; 4x^{-1} + y^{-1} = 1\)

A-1, 2

B1, 2

C2, 1

D2, -1

View Explanation & Discuss

Question 1920

jamb 1989

What are K and L respectively if \(\frac{1}{2}\)(3y - 4x)² = (8x² + kxy + Ly²)

A-12, \(\frac{9}{2}\)

B-6, 9

C6, 9

D12, \(\frac{9}{2}\)

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