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.

50 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

50 questions

Question 1 of 20 50 total questions

Question 1

jamb 2024

(\(\sqrt{a} +\sqrt{8a})^2\) = 54 + b\(\sqrt{2}\), a and b are positive integers. Find the value of a and the value of b.

Aa = 24, b = 6

Ba = 6, b = 2

Ca = 6, b = 24

Da = 2, b = 6

View Explanation & Discuss

Question 2

jamb 2024

Make q the subject of the relation t = \(\sqrt{(\frac{pq}{r} - r^2q)}\)

Aq = \(\frac{rt^2}{p - r^3}\)

Bq = \(\frac{p - r^3}{rt^2}\)

Cq = \(\frac{t^2}{p - r^3}\)

Dq = \(\frac{rt}{p - r^3}\)

View Explanation & Discuss

Question 3

jamb 2024

The number of 144 students who registered for mathematics, physics, and chemistry in an examination are shown in the Venn diagram. How many registered for physics and mathematics?

A16

B24

C62

View Explanation & Discuss

Question 4

jamb 2024

The weights of 15 students in a class are given as 25, 30, 32, 30, 42, 45, 48, 50, 52, 51, 42, 38, 40, and 42. What is the mode of the given data?

A51

B45

C42

D25

View Explanation & Discuss

Question 5

jamb 2024

A binary operation * is defined on a set of real numbers by x*y = x\(^y\) for all values of x and y, if x * 2 = x, find the possible values of x.

A0, 2

B1, 2

C0, 1

D2, 2

View Explanation & Discuss

Question 6

jamb 2024

If tan\(\theta\) = \(\frac{8}{15}\), simplify \(\frac{ Sin\theta - Cos\theta}{Sin^2\theta - Sin\theta}\)

A\(\frac{-119}{72}\)

B\(\frac{119}{72}\)

C\(\frac{-7}{17}\)

D\(\frac{8}{17}\)

View Explanation & Discuss

Question 7

jamb 2024

If A = \(\begin{pmatrix}3 & 2 & 1\\4 & 2 & -1\end{pmatrix}\) and B = \(\begin{pmatrix}1 & 4\\0 & 1\\3 & 2\end{pmatrix}\). Find A\(^T\) + B, ( where T means transpose)

A\(\begin{pmatrix}4 & 8\\3 & 2\\4 & 1\end{pmatrix}\)

B\(\begin{pmatrix}4 & -8\\3 & 2\\4 & 1\end{pmatrix}\)

C\(\begin{pmatrix}4 & 8\\4 & -2\\3 & 1\end{pmatrix}\)

D\(\begin{pmatrix}4 & 8\\2 & 3\\4 & 1\end{pmatrix}\)

View Explanation & Discuss

Question 8

jamb 2024

Given P = \(\begin{bmatrix}1 & 2\\2 & 3\end{bmatrix}\), find P\(^2\) - 4P - I where I is the identity matrix

A\(\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}\)

B\(\begin{bmatrix}0 & 0\\0 & 0\end{bmatrix}\)

C\(\begin{bmatrix}-1 & 0\\0 & -1\end{bmatrix}\)

D\(\begin{bmatrix}0 & 1\\1 & 0\end{bmatrix}\)

View Explanation & Discuss

Question 9

jamb 2024

If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y

Ax = \(\frac{16}{y}\)

Bx = \(\frac{36}{y}\)

Cx = \(\frac{y}{36}\)

Dx = \(\frac{13}{y}\)

View Explanation & Discuss

Question 10

jamb 2024

Find the roots of x\(^3\) - 19x - 30=0

A-5, 3, and 2

B5, 3, and -2

C5, -3 and -2

D-5, -3 and 2

View Explanation & Discuss

Question 11

jamb 2024

If B varies inversely as c\(^{\frac{1}{3}}\) and C = 27 when B = 2, find the value of the constant of proportionality K.

D12

View Explanation & Discuss

Question 12

jamb 2024

U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.

A0.32

D0.25

View Explanation & Discuss

Question 13

jamb 2024

A bag contains 7 red and 4 black identical balls. Two balls were picked at random from the bag and replaced each time. Find the probability the two balls were of same colour.

A\(\frac{54}{121}\)

B\(\frac{65}{121}\)

C\(\frac{29}{55}\)

D\(\frac{27}{55}\)

View Explanation & Discuss

Question 14

jamb 2024

In how many ways can a committee of 5 be selected from a group of 7 males and 3 females, if the committee must have one female?

A105ways

B135 ways

C210 ways

D231 ways

View Explanation & Discuss

Question 15

jamb 2024

From a class of 5 girls and 7 boys, a committee consisting of 2 girls and 3 boys is to be formed. How many ways can this be done?

A350 ways

B420 ways

C550 ways

D720 ways

View Explanation & Discuss

Question 16

jamb 2024

Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8

A\(\sqrt{2}\)

B\(\sqrt{3}\)

View Explanation & Discuss

Question 17

jamb 2024

Find the variance of a group of data whose standard deviation is 12.34 to the nearest whole number.

A150

B151

C152

D153

View Explanation & Discuss

Question 18

jamb 2024

The mean of the numbers 13, 16, x, 18, 21, 2x, 35, is 22. Find the value of x

A16

B17

C23

D25

View Explanation & Discuss

Question 19

jamb 2024

Differentiate Cos25º - Sin 25º

A- ( Sin25º + Cos25º)

B- ( Sec25 + Cot25)

C- ( Cot25 + Sec25)

D- ( Sin25 + Sec25)

View Explanation & Discuss

Question 20

jamb 2024

How many proper and improper subsets are there in the set K = { a, b, c, d, e}?

A10

B25

C32

D50

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