Classroom

Further Mathematics Past Questions

Study and practice Further 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.

40 questions JAMB 2 WAEC 795 CUSTOM 2

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

40 questions

Question 1 of 20 40 total questions

Question 11

waec 2023

An exponential sequence (G.P.) is given by 8√2, 16√2, 32√2, ... . Find the n\(^{th}\) term of the sequence

A\(8\sqrt2^n\)

B\(2^{(n+2)}\sqrt2\)

C\(\sqrt2^{(n+3)}\)

D\(8n\sqrt2\)

View Explanation & Discuss

Question 12

waec 2023

Solve 6 sin 2θ tan θ = 4, where 0º < θ < 90º

A18.43º

B30.00º

C35.26º

D19.47º

View Explanation & Discuss

Question 13

waec 2023

Given that r = (10 N , 200º) and n = (16 N , 020º), find (3r - 2n).

A(62 N , 240º)

B(62 N , 200º)

C(62 N , 280º)

D(62 N , 020º)

View Explanation & Discuss

Question 14

waec 2023

\(Simplify: \frac{log √27 - log √8}{log 3 - log 2}\)

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

B-\(\frac{1}{4}\)

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

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

View Explanation & Discuss

Question 15

waec 2023

The table shows the mark obtained by students in a test.

Marks	1	2	3	4	5
Frequency	2	k	1	1	2

If the mean mark is 3, find the value of k.

View Explanation & Discuss

Question 16

waec 2023

Express \(\frac{3}{3 - √6}\) in the form \(x + m√y\)

A3 - 3 √6

B3 + 3√6

C3 + √6

D3 - √6

View Explanation & Discuss

Question 17

waec 2023

\(Differentiate f (x) = \frac{1}{(1 - x^2)^5}\) with respect to \(x\).

A\(\frac{-5x}{(1-x^2)^6}\)

B\(\frac{-10x}{(1-x^2)^6}\)

C\(\frac{5x}{(1-x^2)^6}\)

D\(\frac{10x}{(1-x^2)^6}\)

View Explanation & Discuss

Question 18

waec 2023

Consider the statements:
x: The school bus arrived late
y: The student walked down to school
Which of the following can be represented by y ⇒ x?

AThe school bus arrived early and Kate ran to school

BMary walked to school because the school bus arrived late

CEither the school bus arrived late or Maryam walked to school

DEmmanuella did not go to school because the school bus arrived late

View Explanation & Discuss

Question 19

waec 2023

Given that P = {x : 2 ≤ x ≤ 8} and Q = {x : 4 < x ≤ 12} are subsets of the universal set μ = {x : x ∈ R}, find (P ⋂ Q\(^1\)).

A{x : 4 < x < 8}

B{x : 2 < x ≤ 4}

C{x : 2 ≤ x ≤ 4}

D{x : 4 ≤ x ≤ 8}

View Explanation & Discuss

Question 20

waec 2023

Find the fifth term in the binomial expansion of \((q + x)^7\).

A\(21q^2x^5\)

B\(21q^4x^3\)

C\(35q^3x^4\)

D\(35q^5x^2\)

View Explanation & Discuss

Question 21

waec 2023

A particle began to move at \(27 ms^{-1}\) along a straight line with constant retardation of \(9 ms^{-2}\). Calculate the time it took the particle to come to a stop.

A3 sec

B2 sec

C4 sec

D1 sec

View Explanation & Discuss

Question 22

waec 2023

Given that M is the midpoint of T (2, 4) and Q (-8, 6), find the length of MQ .

A\(√26 units\)

B\(√28 units\)

C\(√24 units\)

D\(√30 units\)

View Explanation & Discuss

Question 23

waec 2023

Find the radius of the circle \(2x^2 + 2y^2 - 4x + 5y + 1 = 0\)

A\(\frac{\sqrt33}{4}\)

B\(\frac{\sqrt5}{6}\)

C\(\frac{5}{6}\)

D\(\frac{33}{4}\)

View Explanation & Discuss

Question 24

waec 2023

The table shows the operation * on the set {x, y, z, w}.

*	X	Y	Z	W
X	Y	Z	X	W
Y	Z	W	Y	X
Z	X	Y	Z	W
W	W	X	W	Z

Find the identity of the element.

View Explanation & Discuss

Question 25

waec 2023

If\((\frac{1}{9})^{2x-1} = (\frac{1}{81})^{2-3x}\)find the value of x

A\(-\frac{5}{8}\)

B\(-\frac{3}{4}\)

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

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

View Explanation & Discuss

Question 26

waec 2023

Given that \(sin x = \frac{4}{5}\) and \(cos y = \frac{12}{13}\), where x is an obtuse angle and y is an acute angle, find the value of sin (x - y).

A\(\frac{63}{65}\)

B\(\frac{48}{65}\)

C\(\frac{56}{65}\)

D\(\frac{16}{65}\)

View Explanation & Discuss

Question 27

waec 2023

Evaluate \(\int^1_0 x(x^2-2)^2 dx\)

A\(\frac{6}{7}\)

B\(1\frac{1}{6}\)

C\(\frac{1}{7}\)

D\(3\frac{1}{6}\)

View Explanation & Discuss

Question 28

waec 2023

The distance S metres moved by a body in t seconds is given by \(S = 5t^3 - \frac{19}{2} t^2 + 6t - 4\). Calculate the acceleration of the body after 2 seconds

A19 \(ms ^{-2}\)

B21 \(ms ^{-2}\)

C41 \(ms ^{-2}\)

D31 \(ms ^{-2}\)

View Explanation & Discuss

Question 29

waec 2023

Find the equation of the normal to the curve y = \(3x^2 + 2\) at point (1, 5).

A6y - x - 29 = 0

B6y + x - 31 = 0

Cy - 6x - 1 = 0

Dy - 6x + 1 = 0

View Explanation & Discuss

Question 30

waec 2023

Calculate, correct to one decimal place, the angle between 5 i + 12 j and -2 i + 3 j

A56.3º

B76.3º

C66.4º

D54.8º

View Explanation & Discuss

Question Navigator

Current

Further 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