WAEC 2026 Further Mathematics Questions and Answers (OBJ & Essay) May/June

Here is a complete guide for WAEC 2026 Further Mathematics Objective and Essay Questions and Answers (May/June). This material is designed to help candidates prepare effectively by practicing likely exam questions, understanding key concepts, and mastering problem-solving techniques commonly tested in the WAEC examination.

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WAEC 2026 Further Mathematics Questions and Answers (OBJ & Essay) May/June OBJ Questions (20) and Answers

Objective Questions

1. If y=3×2+2x−1y = 3x^2 + 2x – 1y=3x2+2x−1, find dydx\frac{dy}{dx}dxdy​
   A. $6x+2$
   B. $3x+2$
   C. $6x-1$
   D. $2x+1$
   Answer: A
2. Solve $2x+5=13$
   A. 3
   B. 4
   C. 5
   D. 6
   Answer: B
3. Find the determinant of

∣2314∣\begin{vmatrix} 2 & 3 \\ 1 & 4 \end{vmatrix}​21​34​​

A. 5
B. 6
C. 8
D. 10
Answer: A

4. If log⁡101000=x\log_{10} 1000 = xlog10​1000=x, find x
   A. 2
   B. 3
   C. 4
   D. 5
   Answer: B
5. Solve x2−9=0x^2 – 9 = 0x2−9=0
   A. ±3
   B. ±9
   C. 3 only
   D. -3 only
   Answer: A
6. If f(x)=x3f(x) = x^3f(x)=x3, find f′(x)f'(x)f′(x)
   A. 3x23x^23x2
   B. x2x^2x2
   C. $2x$
   D. x3x^3x3
   Answer: A
7. Find the sum of first 10 natural numbers
   A. 45
   B. 50
   C. 55
   D. 60
   Answer: C
8. Evaluate $\int 2xdx$
   A. x2+Cx^2 + Cx2+C
   B. $2x+C$
   C. $x+C$
   D. 2×2+C2x^2 + C2x2+C
   Answer: A
9. Solve $\sin x=0$ for $0\le x\le 2\pi$
   A. 0, π
   B. π only
   C. 0 only
   D. π/2
   Answer: A
10. Find the inverse of $f(x)=2x+3$
    A. x−32\frac{x-3}{2}2x−3​
    B. $2x-3$
    C. $x+3$
    D. $x-3$
    Answer: A
11. Evaluate $5!$
    A. 20
    B. 60
    C. 120
    D. 720
    Answer: C
12. If $A=\{1,2,3\}$, number of subsets
    A. 6
    B. 7
    C. 8
    D. 9
    Answer: C
13. Solve ex=1e^x = 1ex=1
    A. 0
    B. 1
    C. -1
    D. 2
    Answer: A
14. Find gradient of line joining (1,2) and (3,6)
    A. 1
    B. 2
    C. 3
    D. 4
    Answer: B
15. Evaluate cos⁡0∘\cos 0^\circcos0∘
    A. 0
    B. 1
    C. -1
    D. 2
    Answer: B
16. If matrix A is singular, its determinant is
    A. 1
    B. 0
    C. -1
    D. 2
    Answer: B
17. Solve $\tan x=1$
    A. π/4
    B. π/2
    C. π
    D. 0
    Answer: A
18. Expand (x+1)2(x+1)^2(x+1)2
    A. x2+1x^2 + 1x2+1
    B. x2+2x+1x^2 + 2x + 1x2+2x+1
    C. x2+x+1x^2 + x + 1x2+x+1
    D. x2+2x^2 + 2x2+2
    Answer: B
19. Find mean of 2, 4, 6, 8
    A. 4
    B. 5
    C. 6
    D. 7
    Answer: B
20. If $z=3+4i$, modulus is
    A. 5
    B. 7
    C. 12
    D. 1
    Answer: A

  WAEC 2026 Further Mathematics Questions and Answers (OBJ & Essay) May/June Essa Questions (20) and Answers

1. Differentiate y=4×3−2×2+xy = 4x^3 – 2x^2 + xy=4x3−2x2+x
   Answer:
   dydx=12×2−4x+1\frac{dy}{dx} = 12x^2 – 4x + 1dxdy​=12x2−4x+1
2. Integrate ∫(3×2+2x)dx\int (3x^2 + 2x) dx∫(3x2+2x)dx
   Answer:
   x3+x2+Cx^3 + x^2 + Cx3+x2+C
3. Solve x2−5x+6=0x^2 – 5x + 6 = 0x2−5x+6=0
   Answer:
   $(x-2)(x-3)=0$
   x = 2, 3
4. Find determinant of

∣1234∣\begin{vmatrix} 1 & 2 \\ 3 & 4 \end{vmatrix}​13​24​​

Answer:
$(1\times 4-2\times 3)=-2$

5. Solve simultaneous equations
   $x+y=5$, $x-y=1$
   Answer:
   x = 3, y = 2
6. Find derivative of $y=\ln x$
   Answer:
   1x\frac{1}{x}x1​
7. Evaluate $\int xdx$
   Answer:
   x22+C\frac{x^2}{2} + C2x2​+C
8. Solve sin⁡x=12\sin x = \frac{1}{2}sinx=21​
   Answer:
   x=π6,5π6x = \frac{\pi}{6}, \frac{5\pi}{6}x=6π​,65π​
9. Expand (x+2)3(x+2)^3(x+2)3
   Answer:
   x3+6×2+12x+8x^3 + 6x^2 + 12x + 8x3+6x2+12x+8
10. Find inverse of matrix

(1234)\begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}(13​24​)

Answer:

1−2(4−2−31)\frac{1}{-2} \begin{pmatrix} 4 & -2 \\ -3 & 1 \end{pmatrix}−21​(4−3​−21​)

11. Solve $\log x=2$
    Answer:
    x = 100
12. Find sum of GP: 2, 4, 8, 16
    Answer:
    30
13. If f(x)=x2f(x)=x^2f(x)=x2, find $f(3)$
    Answer:
    9
14. Solve $3x-7=2$
    Answer:
    x = 3
15. Evaluate cos⁡60∘\cos 60^\circcos60∘
    Answer:
    1/2
16. Find range of y=x2y = x^2y=x2
    Answer:
    $y\ge 0$
17. Solve x2=16x^2 = 16x2=16
    Answer:
    x = ±4
18. Find derivative of exe^xex
    Answer:
    exe^xex
19. Evaluate $\int 1dx$
    Answer:
    $x+C$
20. Solve 2x=82^x = 82x=8
    Answer:
    x = 3

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