December 7, 2023

WAEC Further Maths Questions and Answers: We will gladly provide you with free access to previous WAEC Visual Arts questions in this article. Along with many other exam-related data, you will comprehend how the WAEC Further Maths questions are structured. All you have to do is stay concentrated and adhere to my advice. An advanced mathematics course for secondary schools is called Further Mathematics. Mathematical induction, complex numbers, polar curves, conic sections, differential equations, matrices, and statistical inference are some of the topics covered in the course, which typically start where ordinary math classes stop.

## WAEC Further Maths Questions and Answers

1. Simplify √3√3−1+√3√3+133−1+33+1

A)1212

B)3

C)2√323

D)6

2. Find the domain of g(x)=4×2−1√9×2+1g(x)=4×2−19×2+1

A)x:x∈R,x=12x:x∈R,x=12

B)x:x∈R,x≠13x:x∈R,x≠13

C)x:x∈R,x=13x:x∈R,x=13

D)x:x∈Rx:x∈R

3. Given that f(x)=3×2−Â12x+12f(x)=3×2−Â12x+12 and f(x)=3f(x)=3, find the values of x.

A)1, 3

B)-1, -3

C)1, -3

D)-1, 3

4. A binary operation * is defined on the set of real numbers, by a∗b=ab+baa∗b=ab+ba. If (√x+1)∗(√x−1)=4(x+1)∗(x−1)=4, find the value of x.

Options

A)6

B)5

C)4

D)3

5. If 4×2+5kx+104×2+5kx+10 is a perfect square, find the value of k.

A)5√1045104

B)4√10410

C)5√10510

D)4√1054105

6. If the polynomial f(x)=3×3−2×2+7x+5f(x)=3×3−2×2+7x+5 is divided by (x – 1), find the remainder.

A)-17

B)-7

C)5

D)13

7. P=1,3,5,7,9,Q=2,4,6,8,10,12,R=2,3,5,7,11P=1,3,5,7,9,Q=2,4,6,8,10,12,R=2,3,5,7,11 are subsets of U=1,2,3,…,12U=1,2,3,…,12. Which of the following statements is true?

A)Q∩R=∅Q∩R=∅

B)R⊂PR⊂P

C)(R∩P)⊂(R∩U)(R∩P)⊂(R∩U)

D)n(P′∩R)=2n(P′∩R)=2

8. If log3a−2=3log3blog3⁡a−2=3log3⁡b, express an in terms of b.

A)a=b3−3a=b3−3

B)a=b3−9a=b3−9

C)a=9b3a=9b3

D)a=b39a=b39

9. If αα and ββ are the roots of 2×2−5x+6=02×2−5x+6=0, find the equation whose roots are (α+1)(α+1) and (β+1)(β+1).

A)2×2−9x+15=02×2−9x+15=0

B)2×2−9x+13=02×2−9x+13=0

C)2×2−9x−13=02×2−9x−13=0

D)2×2−9x−15=02×2−9x−15=0

10. Resolve 3x−1(x−2)2,x≠23x−1(x−2)2,x≠2 into partial fractions.

A)x2(x−2)−5(x−2)2×2(x−2)−5(x−2)2

B)5(x−2)+x2(x−2)25(x−2)+x2(x−2)2

C)12(x−2)+5×2(x−2)212(x−2)+5×2(x−2)2

D)−12(x−2)+8×2(x−2)2

DISCLAIMER! These are not real WAEC GCE further math questions but likely repeated questions over the years to help candidates understand the nature of their examinations. Ensure to take note of every question provided on this page.