Further Mathematics NECO Questions and Answers are available online now, so if you are a candidate who is in search of 2023 NECO further math Questions you are at the right place. We are here to guide you, Just read on!

The National Examinations Council is an examination body in Nigeria that conducts the Senior Secondary Certificate Examination and the General Certificate in Education in June/July and December/January, respectively.

## Further Mathematics NECO Questions and Answers

The questions below are not exactly 2023 NECO Further Mathematics questions and answers but likely NECO Further Maths repeated questions and answers.

These questions are strictly for practice.

1. The gradient of a curve is 8x+2 and it passes through (1,3). Find the equation of the curve

A. y = 4x^2 + 2x + 3

B. y = -4x^2 + 2x -3

C. y = 4x^2 – 2x + 3

D. y = 4x^2 + 2x + 3

E. y= 4x^2 – 2x – 3

2. Integrate 3x^2 + 4x – 8 with respect to x

A. x^3 + 2x^2 + 8x + k

B. 6x + 4 + k

C. x^3 – 2x^2 + 8x + k

D. x^3 + x^2 – 8x + k

E. x^3 + 2x^2 – 8x + k

3. Simplify √3√3−1+√3√3+133−1+33+1

A) 1212

B) 3

C) 2√323

D) 6

4. 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

5. 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

6. 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.

A) 6

B) 5

C) 4

D) 3

7. 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

8. 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

9. 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

10. 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

11.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

12. 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

### Tip on How to Pass Further Mathematics Theory and Objective

Theory: This part consists of sections which are section A and section B. Section A consist of eight questions which you are to answer while section B consists of seven to eight questions which you are to answer five.

Some tips for further mathematics theory are;

1. Reading all the topics in further mathematics under the WAEC syllabus because you can’t guess where the question might come from.

2. When you come across a question that you do not know or you don’t have a clue about, leave the question and answer the ones you know.

3. Then you can now answer the ones you do not know or have clue about.

4. Use the elimination method for questions to answer questions that you have little or no clue about.

5. When you start the exam, answer the questions that you can answer as quickly as possible so that you can have time to cross-check your work.

#### Further Mathematics Objective

This part consists of forty questions with four options each. The candidate is expected to answer all.

Some tips for further mathematics objectives are;

1. Make sure you are prepared to do calculations on what you have learned throughout secondary school.

2. Always analyze the marks for each question and answer them according to their marks.

3. If you are asked to enumerate three calculations and the question carries nine marks. You must show your workings properly. You can make some statements if possible so the examiner would come to understand what you are doing.

4. Make sure you answer the necessary questions

5. Make sure each number falls in the same category. For example, if you answer numbers 5a and 5b but you are not able to answer 5c. Make sure that you leave a blank space for that question. Do not move to the next question like number 4 without leaving space.

DISCLAIMER! These are not real Further Mathematics NECO Questions and Answers 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.

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