NECO Further Mathematics Objective and Theory Questions with Answers

Filed in Exam, NECO News by on February 28, 2024

Are you wondering where you can find NECO Further Mathematics questions that can guide you before participating in the NECO exams?

NECO Further Mathematics Questions

The National Examinations Council (also known as NECO) is an examination body in Nigeria.

They conduct the Senior Secondary Certificate Examination and the General Certificate in Education in June/July and December/January, respectively.

We have compiled a list of past questions and answers to help you in your preparations.

NECO Further Mathematics Questions (Objectives)

The National Examinations Council (NECO) was created in April 1999 by the Nigerian government in response to the growing demand for a national examination body.

And also manage the increasing number of secondary school candidates taking the Senior School Certificate Examination (SSCE) annually across the country.

These are some of the past objectives and theory questions and answers;

Question 1

Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0.

Options

A) 40°

B) 44°

C) 45°

D) 54°

Answer: C

Question 2

The angle of a sector of a circle is 0.9 radians. If the radius of the circle is 4cm, find the length of the arc of the sector.

Options

A) 3.6 cm

B) 7.6 cm

C) 8.0 cm

D) 11.6 cm

Answer: B

Question 3

A binary operation * is defined on the set of real numbers R, by a* b = -1. Find the identity element under the operation *.

Options

A) -1

B) 1

C) 2

D) 0

Answer: A

Question 4

The mean of 2, 5, (x + 2), 7, and 9 is 6. Find the median.

Options

A) 5.5

B) 6.0

C) 6.5

D) 7.0

Answer: D

Question 5

In how many ways can 3 prefects be chosen out of 8 prefects?

Options

A) 6

B) 24

C) 56

D) 336

Answer: C

Question 6

Find the standard deviation of the numbers 3,6,2,1,7 and 5.

Options

A) 2.00

B) 2.16

C) 2.50

D) 2.56

Answer: B

Question 7

Marks5-78-1011-1314-1617-1920-22
No of students472641148

The table above shows the distribution of marks of students in a class. Find the upper-class boundary of the modal class.

Options

A) 13.5

B) 16

C) 16.5

D) 22.5

Answer: C

Question 8

Four doctors and two nurses are to sit round a circular table. In how many ways can this be done if the nurses are to sit together?

Options

A) 48

B) 60

C) 240

D) 720

Answer: A

Question 9

A force of 200N acting on a body of mass 20kg initially at rest causes it to move a distance of 320m along a straight line for t secs. Find the value of t.

Options

A) 4s

B) 6s

C) 8s

D) 10s

Answer: C

Question 10

A body of mass 25kg changes its speed from 15m/s to 35m/s in 5 seconds by the action of an applied force F. Find the value of F.

Options

A) 100N

B) 375N

C) 500N

D) 600N

Answer: A

NECO Further Mathematics Theory Question and Answers

Question 1

Topic: Matrices and Determinants

(a) Given matrix A = [2413][21​43​], find the determinant of A.

(b) If B=[1−235]B=[13​−25​], calculate the inverse of matrix B.

Answer 1

(a) The determinant of matrix A is calculated as follows: det(A)=(2×3)−(4×1)=6−4=2det(A)=(2×3)−(4×1)=6−4=2

(b) To find the inverse of matrix B, use the formula: B−1=1det(B)×adj(B)B−1=det(B)1​×adj(B) where adj(B) is the adjugate of matrix B.

B−1=1(1×5)−(−2×3)×[52−31]=111×[52−31]B−1=(1×5)−(−2×3)1​×[5−3​21​]=111​×[5−3​21​]

Question 2

Topic: Integration

(a) Evaluate ∫(2x^2+3x−1) x∫(2x2+3x−1)dx.

(b) Determine the definite integral ∫01(4x^3−2x^2+5) x∫01​(4x3−2x2+5)dx.

Answer 2

(a) Integrate term by term: ∫(2x^2+3x−1) x=2x^3+2x^2−x+x∫(2x2+3x−1)dx=32​x3+23​x2−x+C where C is the constant of integration.

(b) Evaluate the definite integral: ∫01(4x^3−2x^2+5) x=[4x^4−2x^3+5x]01=1−23+5=103∫01​(4x3−2x2+5)dx=[44​x4−32​x3+5x]01​=1−32​+5=10/3

Question 3

Topic: Probability

(a) A bag contains 5 red balls, 3 green balls, and 2 blue balls. If a ball is chosen at random, find the probability that it is green.

(b) Two dice are thrown. Calculate the probability of getting a sum of 7.

Answer 3

(a) Probability of choosing a green ball:

P(Green)=Total Number of BallsNumber of Green Balls​=3/10​

(b) Possible combinations for a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).

Total outcomes when rolling two dice: 6 * 6 = 36.

P(Sum of 7)=Total Number of Outcomes/Number of Favorable Outcomes​=6/36​=1​/6

Tips to Help in Preparing for your NECO Exam

These are some tips to help you prepare well for the NECO exam and get good results:

1. Get the NECO exam syllabus for your subjects and know what you need to study.

2. Make a study schedule that’s realistic and stick to it. Give each subject enough time.

3. Use old NECO exam questions to practice. It helps you understand the format, know common topics, and get used to answering within the given time.

4. The exam has a time limit, so practice managing your time. Set a timer when you’re practicing to get faster and more accurate.

5. If you find something hard, ask your teachers or classmates for help. Understanding tough topics early on will make your overall preparation better.

These are not real NECO Further Mathematics, but likely repeated questions over the years to help candidates understand the nature of their examinations.

Ensure to note every question provided on this page.

Comments (4)

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  1. Friday Haruna says:

    Please need it on my mail box

  2. Mukhtar says:

    further mathematics answers pls

  3. Stephen says:

    Futher mathes solution pls

  4. Mukhtar says:

    08136309052

Hey Hi

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