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General Instruction for NECO Past Questions in Mathematics

1. Use HB pencil throughout.

2. Use of mobile phone is not allowed.

3. Use of scientific calculator is allowed.

4. Complete the top section of your answer sheet as follows:

(a) In the space marked Candidate’s Name, write your surname in capital letters followed by your other names.

(b) In the space marked School Name, write the name of your centre, and in the space marked Subject Name, write GENERAL MATHEMATICS III.

(c) In the box marked Subject Code, write the digits 1023 in the spaces. There are numbered spaces in line with each digit. Shade carefully the space with the same number as each digit.

(d) In the box marked Examination Number, write your examination number in the spaces at the top of the box. Shade the corresponding numbered spaces in the same way as for Subject Code.

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## Mathematics NECO Objective Question

**General Mathematics**

**Paper III (Objective)**

A school contains 357 boys and 323 girls.

If a student is chosen at random, what is the probability that is a girl?

Correct your answer to 2 decimal places.

A. 0.32

B. 0.40

C. 0.48

D. 0.50

E. 0.53

A pair of unbiased dice is thrown once.

What is the probability of getting a total score of seven?

A. 5/6

B. 1/2

C. 1/3

D. 7/36

E. 1/6

A fair coin and unbiased die is tossed and thrown respectively. What is the probability of getting a head and a perfect square?

A. 1/12

B. 1/6

C. 1/3

D. 1/2

E. 2/3

Determine the mean deviation of the following numbers: 2, 4, 6, 8, 10, 12.

A. 2.4

B. 2.6

C. 3.0

D. 3.4

E. 6.0

Given that y = x4 + 4×2 – 2x + 1, find

dy/dx at x = 1

A. 15

B. 14

C. 13

D. 12

E. 11

Calculate the area enclosed between the x axis and the curve y = (x – l)(x-2) in the interval

0 < x < 3.

A. 5 1/2 square units

B. 6 1/2 square units

C. 7 1/2 square units

D. 8 1/2 square units

E. 9 1/2 square units

The bearing of A from B is 074°.

What is the bearing of B from A?

A. 164°

B. 254°

C. 268°

D. 281°

E. 310°

A chord 8 cm long is 3 cm from the centre of a circle. Calculate the radius of the circle.

A. 2cm

B. 3cm

C. 4cm

D. 5cm

E. 6cm

If the sector of a circle of radius 14 cm has an area of 385 cm2, calculate the angle of the sector.

A. 325°

B. 300°

C. 225°

D. 215°

E. 145°

Calculate the surface area of a sphere whose diameter is 9.8 cm.

A. 1479.02 cm2

B. 1301.84 cm2

C. 493.00 cm2

D. 301.84 cm2

E. 100.61 cm2

If the interior angles of a y sided regular polygon are 140″ each, what is the name of the polygon?

A. Hexagon

B. Heptagon

C. Octagon

D. Nonagon

E. Decagon

If the diagonals of a rhombus are 16 cm and 12 cm, calculate the perimeter of the rhombus.

A. 20 cm

B. 40 cm

C. 60 cm

D. 80 cm

E. 100 cm

If Q varies directly as the square of P and Q = 8 when P = /2, find Q when P = 4.

A. 8

D. 12

C. 16

D. 32

E. 64

Solve the inequality

2(x+1) > 1/3 (4x + 3)

A. x > – 2/3

B. x > – 3/2

C. x < – 2/3

D. x < 3/2

E. x > 3/2

if 2k2 + mk + 25/8 = 0 has equal roots, find the positive value of m.

A. 2

B. 4

C. 5

D. 8

E. 25

Find the positive value of x for which the expression

12×2 – 4x / x2 -2x -3 is not defined.

A. 9

B. 3

C. 2

D. 1

E. 0

Factorize 3×2 + 5x – 8

A. (3x – 8) (x + 1)

B. (3x + 8) (x -1 )

C. (3x + 8) (x + 1)

D. (3x – 8) (x – 1)

E. (x + 8) (x – 8)

## NECO Mathematics Theory Past Questions

**PAPER II**

**PART I**

Attempt all questions in this part.

1. Use the logarithm table to evaluate

square root of 0.0024 x 35000 / 0.0105

2a. if the roots of a quadratic equation are -2/3 and -3/2 find the equation.

2b. Given the Matrix R = 3 4 0, 2 0 3, 1 2 2, Find

i. 2/3 R

ii. R

iii. The transpose of R

3a. Find the equation of a straight line passing through the points R(3, 5) and S (-2, -6)

3b. Calculate the length RS in 3 (a) above, correct to 2 decimal places

4. Find the gradient of the tangent to the curve y = x2 – 3x at the point (2, -2)

b. Differentiate 1+x2/1-x2 with respect to x

5. A bag contains 6 blue and 10red Identical balls, if two balls are drawn at random one after the other without replacement, find the probability that the two balls are of

i. The same colour

ii. Different colours

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