WAEC (WASSCE) • Further Mathematics

Further Mathematics past questions

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98 questions Topic: All topics Format: Objective & Theory

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WAEC (WASSCE) Past Questions

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#1

Question 1

Further Mathematics

WAEC 2026 Objective

If X = (2314)\begin{pmatrix} 2 & 3 \\ 1 & 4 \end{pmatrix}, Y = (1503)\begin{pmatrix} 1 & 5 \\ 0 & 3 \end{pmatrix} and Z = (6112)\begin{pmatrix} 6 & -1 \\ 1 & 2 \end{pmatrix}, find 5X - 2Y + 2Z

A

(47310)\begin{pmatrix} -4 & 7 \\ 3 & 10 \end{pmatrix}

B

(47310)\begin{pmatrix} 4 & 7 \\ 3 & -10 \end{pmatrix}

C

(203718)\begin{pmatrix} 20 & 3 \\ 7 & 18 \end{pmatrix}

D

(203718)\begin{pmatrix} -20 & 3 \\ 7 & -18 \end{pmatrix}

#2

Question 2

Further Mathematics

WAEC 2026 Objective

If 2cos2 θ\theta = 1 + sin θ\theta, 0o ≤ θ ≤ 90o. find the value of θ

A

300

B

450

C

600

D

900

#3

Question 3

Further Mathematics

WAEC 2026 Objective

The function f : x →  x2+5x6\sqrt{x^{2}+5x-6} is defined on the set of real numbers R. Find the domain of f .

A

{x : x ∈ R, x ≤ −6, x ≥ -1}

B

{x : x ∈ R, x ≤ −6, x ≥ 1}

C

{x : x ∈ R, x ≤ 1/−6, x ≥ 1}

D

{x : x ∈ R, x ≤ −6, x ≥ 1/6}

#4

Question 4

Further Mathematics

WAEC 2026 Objective

Given that P = (354635221)\begin{pmatrix} 3 & 5 & -4\\ 6 & -3 & -5\\ -2 &2 & 1\end{pmatrix} and Q = (321123312)\begin{pmatrix} -3 & -2 & 1\\ 1 & 2 & 3 \\ 3 & 1 & 2\end{pmatrix}find | P +Q |

A

169

B

135

C

-135

D

-169

#5

Question 5

Further Mathematics

WAEC 2026 Objective

Consider the statements:

p: He suffers from kwashiokor.

q: He eats balanced diet.

Which of the following represents "He suffers from kwashiokor only if he does not eat balanced diet"?

A

~ p ⇒ q

B

~ q ⇒ p

C

~ p ⇒ ~ q

D

~ q ⇒ ~ p

#6

Question 6

Further Mathematics

WAEC 2026 Objective

A function f is defined on R, the set of real numbers , by f : x x4x+5\frac{x-4}{x+5} , x ≠ -5. Find f -1(x)

A

5x+41x\frac{5x+4}{1-x} , x ≠ 1

B

1x5x+4\frac{1-x}{5x+4} x ≠ - 4/5,

C

x+4x+5\frac{x+4}{x+5} x ≠ -5,

D

x5x+4\frac{x-5}{x+4} , x ≠ -4

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