If you are a candidate seeking Mathematics NECO Questions and Answers, you have arrived at the right place as we will break them down for you. We will go further to show you how Mathematics NECO Questions are set and the best way to answer for full marks. 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.

## Mathematics NECO Questions and Answers

The following NECO Maths questions are questions to expect in the 2023 NECO examination. The questions below are the NECO past questions and answers that will help you in your 2023 NECO Mathematics Questions.

1. Express the product of 0.09 and 0.06 in standard form

A. 5.4×10^-3

B. 5.4×10^-2

C. 5.4×10^-1

D. 5.4×10^2

E. 5.4×10^3

2. Evaluate 4610 base eight – 2675 base eight

A. 1713 base eight

B. 1731 base eight

C. 1735 base eight

D. 1935 base eigh

E. 2025 base eight

3. The shorter hand of a clock points to 9. What number did it point to 30 hours ago

A. 2

B. 3

C. 4

D. 5

E. 6

4. Evaluate log(6x^2 + X – 1) = 0

A. x = 1/2 or x = -2/3

B. x = 0 or x= 1

C. x = 2/3 or x = 1/3

D. x = 1 or x= -1

E. x = -1/2 or x = 1/3

5. Given that log2 = 0.3010 and log3 = 0.4771, find the value of log(1.5)^2

A. 0.3522

B. 0.1761

C. 0.1585

D. 0.0881

E. 0.0310

6. The present ages of a mother and her daughter are in a ratio of 11:3 and the daughter’s age is 9. what will be the ratio of her daughter in year’s time?

A. 16:9

B. 2:1

C. 33:14

D. 10:3

E. 19:7

7. The first term of an Arithmetic Progression is equal to twice the common difference d. Find in terms of d, the 5th term of the A.P.

A. 4d

B. 5d

C. 6d

D. a + 5d

E. 2a + 4d

8. The common ratio of a Geometric Progression is 2. If the 5th term is greater than the 1st term by 45, find

A. 3

B. 8

C. 45

D. 48

E. 90

9. In a class of 80 students, every student has to offer Economics or Geography or both. If 65 students offered Economics and 50 offered Geography, how many students offered both subjects?

A. 15

B. 30

C. 35

D. 45

E. 50

10. Solve the equation 7x^2 = 3x

A. x = 3 or 7

B. x = or 7

C. x = 0 or 3/7

D. x = 0 or 9

E. x = 7/3 or 3/7

### Neco Mathematics Theory Questions

1(a) Two children shared an amount of money in the ratio 3/4:2/5. If the smaller share was N25.00, how much was shared between them?
(b) A box contains 5 red, 3 green and 4 blue balls of the same size. If a boy picks two balls from the box one after the other without replacement, what is the probability that both balls are red?

2a) In a right-angled triangle, sin x = 3/5. Evaluate 5(cos x)³-3.

Part II

3(a)In a class of 50 students, 30 offered History, 15 offered History and Geography while 3 did not offer any of the two subjects.

(i) Represent the information on a Venn diagram.
(ii) Find the number of candidates that offered:
(A) History only;
(B) Geography only.
(b) A trader sold an article at a discount of 8% for N 828.00. If the article was initially marked to gain 25%, find the
(i) the cost price of the article;
(ii) discount allowed.

4(a)The second, fourth and sixth terms of an Arithmetic Progression (A.P.) are x – 1, x + 1 and 7 respectively. Find the:
(i)common difference;
(ii)first term;
(iii)value of x.
(b) A spherical bowl of radius r em is one-quarter full when 6 litres of water is poured into it. Calculate, and correct three significant figures, and their diameter. [Take π =22/7]

5. P(lat 400N, long 18°W) and Q(lat 400N, long 78OW) are two cities on the surface of the earth.

6. Using a ruler and a pair of compasses only:
(a) construct a triangle PQR with /PQ/ = 10cm, ∠QPR = 90° and ∠PQR = 30°;
(b) (i) construct I, the locus of all points equidistant from PR and QR;
(ii) locate M, the point where / intersects with PO,
(c) (i) with M as the centre and radius MP, draw a circle;
(ii) calculate the area of the circle correctly to one decimal place.
[Take Π= 22/7].

7. The table below gives the distribution of marks for 360 candidates who sat for an examination.

 Marks (%) 0-9 10 – 19 20 – 29 30 -39 40 – 49 50 – 59 60 – 69 70 -79 80 -89 Number of 20 48 60 72 80 40 25 10 5 candidates

(a) Draw a cumulative frequency curve for the distribution.
(b) Use your graph to estimate the semi-interquartile range.
(c) If the minimum mark for the distinction is 75%, how many candidates passed with distinction?

8(a) A ship Pis 3km due east of a harbour. Another ship Q is also 3 km from the harbour but on a bearing of 042° from the harbour.
(i)Find the distance between the two ships.
(Find the bearing of ship Q from ship P.
(b) A motorist travelled 300 km at an average speed of 75 km/h and returned at an average speed of v km/b. If his average speed for the whole journey is 60 km/h, find v.

DISCLAIMER! These are not real 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.