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.

47 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

47 questions

Question 1 of 20 47 total questions

Question 1

jamb 1985

In the figure, find angle x

A100^o

B120^o

C60^o

D110^o

E140^o

View Explanation & Discuss

Question 2

jamb 1985

In the figure, the area of the shaded segment is

A3\(\pi\)

B9\(\frac{\sqrt{3}}{4}\)

C3 (\(\pi - 3 \frac{\sqrt{3}}{4}\))

D\(\frac{(\sqrt{3 - \pi)}}{4}\)

E\(\pi + \frac{9 \sqrt{3}}{4}\)

View Explanation & Discuss

Question 3

jamb 1985

In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QPR = \(\theta\)o and RQP = \(\phi\)o, which of the following relationships between \(\theta\)o and \(\phi\)o is correct

A\(\theta\)^o + \(\phi\)^o = 90²

B\(\phi\)^o = 90² - 2\(\theta\)^o

C\(\theta\)^o = \(\phi\)^o

D\(\phi\)^o = 2\(\theta\)^o

E\(\theta\)^o + 2\(\phi\)^o

View Explanation & Discuss

Question 4

jamb 1985

In the figure, GHIJKLMN is a cube of side a. Find the length of HN.

A\(\sqrt{3a}\)

B3a

C3a²

Da\(\sqrt{2}\)

Ea\(\sqrt{3}\)

View Explanation & Discuss

Question 5

jamb 1985

In the figure POQ is the diameter of the circle PQR. If PSR = 145o, find xo

A25^o

B35^o

C45^o

D125^o

E55^o

View Explanation & Discuss

Question 6

jamb 1985

In the figure, MNQP is a cyclic quadrilateral. MN and Pq are produced to meet at X and NQ and MP are produced to meet at Y. If MNQ = 86o and NQP = 122o find (xo, yo)

A28^o, 36^o

B36^o, 28^o

C43^o, 61^o

D61^o, 43^o

E36^o, 43^o

View Explanation & Discuss

Question 7

jamb 1985

In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XZ = 25cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ

A190 sq.cm

B20 sq.cm

C210 sq.cm

D160sq.cm

E320sq.cm

View Explanation & Discuss

Question 8

jamb 1985

If a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = 6x. Find a in its simplest form

Ax² - 1

Bx² + 1

Cx² + 4

Dx² - 4

View Explanation & Discuss

Question 9

jamb 1985

In a class of 120 students, 18 of them scored an A grade in mathematics. If the section representing the A grade students on a pie chart has angle Z^o at the centre of the circle, what is Z?

A15

B27

C50

D52

E54

View Explanation & Discuss

Question 10

jamb 1985

Two points X and Y both on latitude 60^oS have longitude147^oE and 153^oW respectively. Find to the nearest kilometer the distance between X and Y measured along the parallel of latitude(Take 2\(\pi\)R = 4 x 10⁴km, where R is the radius of the earth)

A16667km

B28850km

C8333km

D2233km

View Explanation & Discuss

Question 11

jamb 1985

A bag contains 4 white balls and 6 red balls. Two balls are taken from the bag without replacement. What is the probability that they are both red?

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

B\(\frac{2}{15}\)

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

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

View Explanation & Discuss

Question 12

jamb 1985

PRSQ is a trapezium of area 14cm² in which PQ||RS. If PQ = 4cm and SR = 3cm, Find the area of SQR in cm²

A7.0

B6.0

C5.2

D5.0

View Explanation & Discuss

Question 13

jamb 1985

A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively?

A5kg

B16kg

C19kg

D6kg

View Explanation & Discuss

Question 14

jamb 1985

If cos \(\theta\) = \(\frac{\sqrt{3}}{2}\) and \(\theta\) is less than 90o. Calculate \(\frac{\cot(90 - \theta)}{sin^2\theta}\)

A\(\frac{4}{\sqrt{3}}\)

B\(4 \sqrt{3}\)

C\(\sqrt{\frac{3}{2}}\)

D\(\frac{1}{\sqrt{3}}\)

E\(\frac{2}{\sqrt{3}}\)

View Explanation & Discuss

Question 15

jamb 1985

Find the area of a regular hexagon inscribed in a circle of radius 8cm

A16\(\sqrt{3}\) cm³

B96\(\sqrt{3}\) cm³

C192\(\sqrt{3}\) cm³

D16\(\sqrt{3}\) cm²

E33cm²

View Explanation & Discuss

Question 16

jamb 1985

What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3?

A\(\frac{7}{10}\)

B\(\frac{3}{5}\)

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

D\(\frac{3}{10}\)

View Explanation & Discuss

Question 17

jamb 1985

Without using table, calculate the value of 1 + sec2 30o

A2\(\frac{1}{3}\)

B\(\frac{2}{15}\)

C\(\frac{5}{3}\)

D3\(\frac{1}{2}\)

View Explanation & Discuss

Question 18

jamb 1985

The bearing of a bird on a tree from a hunter on the ground is N72oE. What is the bearing of the hunter from the birds?

AS 18^o W

BS 72^o W

CS 72^o E

DS 27^o E

ES 27^o W

View Explanation & Discuss

Question 19

jamb 1985

The ratio of the length of two similar rectangular blocks is 2 : 3. If the volume of the larger block is 351cm\(^3\), then the volume of the other block is?

A234.00 cm³

B526.50 cm³

C166.00 cm³

D687cm³

View Explanation & Discuss

Question 20

jamb 1985

If two fair coins are tossed, what is the probability of getting at least one head?

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

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

D\(\frac{43}{78}\)

E\(\frac{3}{4}\)

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