2026 NECO General Mathematics Objective and Essay Questions and Answers

2026 NECO General Mathematics Objective and Essay Questions and Answers

This NECO-style General Mathematics Mock Examination is designed for revision and practice. It follows the structure and difficulty commonly associated with the NECO General Mathematics examination and covers key topics from the senior secondary school mathematics syllabus.

Examination Instructions

Paper I (Objective)

• Answer all sixty (60) questions.
• Choose the correct option from A–D.
• Each question carries equal marks.

Paper II (Essay)

• Answer Four (4) questions only.
• Show all necessary working.
• Credit will be given for correct methods, even where the final answer is incorrect.

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PAPER I

OBJECTIVE TEST

Questions 1–20

1.

Evaluate:

(18 + 24 \div 6)

A. 4

B. 22

C. 7

D. 42

Answer: B

2.

Express 0.75 as a fraction in its lowest terms.

A. 3/4

B. 1/2

C. 4/3

D. 2/5

Answer: A

3.

Simplify:

(3x + 5x – 2x)

A. 5x

B. 6x

C. 8x

D. 10x

Answer: B

4.

Solve:

(2x + 7 = 19)

A. 4

B. 5

C. 6

D. 7

Answer: C

5.

The value of

(5^2)

is

A. 10

B. 20

C. 25

D. 50

Answer: C

6.

Convert 45% to decimal.

A. 0.045

B. 0.45

C. 4.5

D. 45

Answer: B

7.

Find the HCF of 18 and 24.

A. 2

B. 3

C. 6

D. 12

Answer: C

8.

Find the LCM of 6 and 8.

A. 12

B. 18

C. 24

D. 48

Answer: C

9.

The reciprocal of 5/8 is

A. 5/8

B. 8/5

C. 3/5

D. 8/3

Answer: B

10.

Evaluate:

(\frac{3}{5}+\frac{2}{5})

A. 1

B. 5/10

C. 2

D. 3/10

Answer: A

11.

A trader bought a bag for ₦20,000 and sold it for ₦24,000.

The profit is

A. ₦2,000

B. ₦3,000

C. ₦4,000

D. ₦5,000

Answer: C

12.

Find 20% of ₦8,000.

A. ₦800

B. ₦1,000

C. ₦1,600

D. ₦2,000

Answer: C

13.

Simplify

(7a-3a)

A. 10a

B. 4a

C. 21a

D. 3a

Answer: B

2026 NECO General Mathematics Objective and Essay Questions and Answers

14.

Factorize:

(x^2+5x+6)

A. (x+1)(x+6)

B. (x+2)(x+3)

C. (x−2)(x−3)

D. (x+5)(x+1)

Answer: B

15.

Solve

(x^2=81)

A. 7

B. ±9

C. 81

D. ±8

Answer: B

16.

The value of

(\sqrt{144})

is

A. 10

B. 11

C. 12

D. 13

Answer: C

17.

If

(5y=35),

find y.

A. 5

B. 6

C. 7

D. 8

Answer: C

18.

The interior angles of a triangle add up to

A. 90°

B. 180°

C. 270°

D. 360°

Answer: B

19.

The angle in a semicircle is

A. 45°

B. 60°

C. 90°

D. 180°

Answer: C

20.

A right angle measures

A. 45°

B. 60°

C. 90°

D. 180°

Answer: C

21.

Find the perimeter of a rectangle measuring 8 cm by 5 cm.

A. 13 cm

B. 26 cm

C. 40 cm

D. 80 cm

Answer: B

22.

The area of a rectangle measuring 12 cm by 7 cm is

A. 19 cm²

B. 42 cm²

C. 84 cm²

D. 96 cm²

Answer: C

23.

Find the area of a triangle with base 10 cm and height 8 cm.

A. 18 cm²

B. 40 cm²

C. 80 cm²

D. 160 cm²

Answer: B

24.

The circumference of a circle is calculated using

A. πr²

B. 2πr

C. l × b

D. bh

Answer: B

25.

The value of π correct to two decimal places is

A. 3.12

B. 3.14

C. 3.41

D. 3.16

Answer: B

26.

The probability of obtaining a head when a fair coin is tossed is

A. 0

B. 1/4

C. 1/2

D. 1

Answer: C

27.

How many faces does a cube have?

A. 4

B. 5

C. 6

D. 8

Answer: C

28.

A die has

A. Four faces

B. Five faces

C. Six faces

D. Eight faces

Answer: C

29.

The mean of 4, 6, 8 and 10 is

A. 6

B. 7

C. 8

D. 9

Answer: B

2026 NECO General Mathematics Objective and Essay Questions and Answers

30.

The median of 3, 5, 7, 9 and 11 is

A. 5

B. 6

C. 7

D. 8

Answer: C

31.

The mode of

2, 4, 4, 5, 7

is

A. 2

B. 4

C. 5

D. 7

Answer: B

32.

Convert 2 km to metres.

A. 20 m

B. 200 m

C. 2,000 m

D. 20,000 m

Answer: C

33.

A straight angle measures

A. 90°

B. 120°

C. 180°

D. 360°

Answer: C

34.

Simplify

(2^3 \times 2^2)

A. 2⁵

B. 2⁶

C. 4⁵

D. 8²

Answer: A

35.

Evaluate

10²

A. 10

B. 20

C. 100

D. 1,000

Answer: C

36.

The opposite of −12 is

A. −24

B. 12

C. 0

D. 24

Answer: B

37.

The value of

7−3

is

A. 3

B. 4

C. 5

D. 10

Answer: B

38.

The sum of the angles around a point is

A. 90°

B. 180°

C. 270°

D. 360°

Answer: D

39.

How many degrees are in one complete revolution?

A. 90°

B. 180°

C. 270°

D. 360°

Answer: D

40.

A polygon with eight sides is called

A. Hexagon

B. Heptagon

C. Octagon

D. Nonagon

Answer: C

41.

If (3x = 27), the value of (x) is

A. 6

B. 7

C. 8

D. 9

Answer: D

2026 NECO General Mathematics Objective and Essay Questions and Answers

42.

Evaluate:

[
\frac{2}{3} \times \frac{9}{4}
]

A. ( \frac{3}{2} )

B. ( \frac{2}{3} )

C. ( \frac{9}{8} )

D. 2

Answer: A

43.

Express 0.125 as a fraction in its simplest form.

A. ( \frac{1}{4} )

B. ( \frac{1}{8} )

C. ( \frac{1}{16} )

D. ( \frac{2}{5} )

Answer: B

44.

A trader bought an article for ₦15,000 and sold it for ₦18,000. Find the percentage profit.

A. 15%

B. 20%

C. 25%

D. 30%

Answer: B

45.

The value of (5! ) is

A. 25

B. 60

C. 100

D. 120

Answer: D

46.

Find the simple interest on ₦10,000 invested at 8% per annum for 2 years.

A. ₦800

B. ₦1,000

C. ₦1,600

D. ₦2,000

Answer: C

47.

The coordinates of the origin on the Cartesian plane are

A. (1,1)

B. (0,1)

C. (1,0)

D. (0,0)

Answer: D

2026 NECO General Mathematics Objective and Essay Questions and Answers

48.

Which of the following is a prime number?

A. 21

B. 27

C. 29

D. 35

Answer: C

49.

The sum of the exterior angles of any polygon is

A. 90°

B. 180°

C. 270°

D. 360°

Answer: D

50.

The volume of a cube of side 5 cm is

A. 25 cm³

B. 75 cm³

C. 100 cm³

D. 125 cm³

Answer: D

51.

The probability of obtaining an even number when a fair die is thrown is

A. ( \frac{1}{6} )

B. ( \frac{1}{3} )

C. ( \frac{1}{2} )

D. ( \frac{2}{3} )

Answer: C

52.

Convert 3.5 hours to minutes.

A. 180 minutes

B. 190 minutes

C. 200 minutes

D. 210 minutes

Answer: D

53.

If (x : y = 4 : 7) and (x = 20), find (y).

A. 25

B. 30

C. 35

D. 40

Answer: C

54.

The gradient of a horizontal line is

A. 0

B. 1

C. –1

D. Undefined

Answer: A

55.

The sum of the first five natural numbers is

A. 10

B. 12

C. 15

D. 20

Answer: C

2026 NECO General Mathematics Objective and Essay Questions and Answers

56.

Solve:

[
2x – 5 = 13
]

A. 7

B. 8

C. 9

D. 10

Answer: C

57.

Find the value of

[
\sqrt{225}
]

A. 12

B. 13

C. 14

D. 15

Answer: D

58.

A cylinder has

A. One circular face

B. Two circular faces and one curved surface

C. Three curved surfaces

D. Four faces

Answer: B

59.

The standard form of 0.00045 is

A. (4.5 \times 10^{-4})

B. (4.5 \times 10^{-5})

C. (45 \times 10^{-5})

D. (0.45 \times 10^{-4})

Answer: A

60.

The value of (9^0) is

A. 0

B. 1

C. 9

D. 81

Answer: B

2026 NECO General Mathematics Objective and Essay Questions and Answers

PAPER II

ESSAY QUESTIONS

Instructions to Candidates

• Answer Four (4) questions only.
• Show all necessary working.
• All questions carry equal marks.

Section A: Algebra and Number

Question 1(a)

Solve the equation:

[
3x + 7 = 28
]

Question 1(b)

Simplify completely:

[
4a – 3a + 8
]

Solution

(a)

[
3x + 7 = 28
]

Subtract 7 from both sides:

[
3x = 21
]

Divide both sides by 3:

[
x = 7
]

Answer: (x = 7)

(b)

[
4a – 3a + 8
]

[
= a + 8
]

Answer: (a + 8)

Question 2(a)

A trader bought a television set for ₦120,000 and sold it for ₦150,000.

Calculate:

i. The profit.

ii. The percentage profit.

Solution

Profit

[
150,000 – 120,000 = ₦30,000
]

Percentage Profit

[
\frac{30,000}{120,000} \times 100
]

[
=25%
]

Answers

• Profit = ₦30,000
• Percentage Profit = 25%

Section B: Geometry and Mensuration

2026 NECO General Mathematics Objective and Essay Questions and Answers

Question 3(a)

A rectangle measures 18 cm by 12 cm.

Calculate:

i. The perimeter.

ii. The area.

Solution

Perimeter

[
2(18+12)
]

[
=60\text{ cm}
]

Area

[
18\times12
]

[
=216\text{ cm}^2
]

Answers

• Perimeter = 60 cm
• Area = 216 cm²

Question 4(a)

A cylindrical water tank has a radius of 7 cm and a height of 20 cm.

Using

[
\pi=\frac{22}{7}
]

calculate its volume.

Solution

[
V=\pi r^2 h
]

[
=\frac{22}{7}\times7\times7\times20
]

[
=3080\text{ cm}^3
]

Answer: 3080 cm³

Section C: Statistics and Probability

2026 NECO General Mathematics Objective and Essay Questions and Answers

Question 5(a)

The scores of ten students are:

12, 18, 15, 20, 25, 15, 18, 14, 16, 17

Calculate:

i. Mean

ii. Median

iii. Mode

Solution

Total

[
=170
]

Mean

[
=\frac{170}{10}
]

[
=17
]

Arrange:

12,14,15,15,16,17,18,18,20,25

Median

[
=\frac{16+17}{2}
]

[
=16.5
]

Mode

15 and 18 occur twice.

Answers

• Mean = 17
• Median = 16.5
• Mode = 15 and 18 (Bimodal)

2026 NECO General Mathematics Objective and Essay Questions and Answers

Question 6(a)

A bag contains 5 red balls, 3 blue balls and 2 green balls.

One ball is selected at random.

Find the probability of selecting:

i. A red ball.

ii. A blue ball.

iii. A green ball.

Solution

Total balls

[
5+3+2=10
]

Red

[
=\frac{5}{10}
=\frac12
]

Blue

[
=\frac{3}{10}
]

Green

[
=\frac{2}{10}
=\frac15
]

Answers

• Red = ½
• Blue = 3/10
• Green = 1/5

Final Revision Tips for NECO General Mathematics

1. Master the four basic arithmetic operations and BODMAS.
2. Practice solving linear and quadratic equations.
3. Revise percentages, profit and loss, ratio, proportion, and variation.
4. Study geometry, mensuration, and trigonometry formulas thoroughly.
5. Learn probability and statistics calculations, including mean, median, and mode.
6. Practice graph plotting and interpretation.
7. Understand indices, logarithms, sets, matrices, and transformations.
8. Attempt several mock examinations under timed conditions to improve speed and accuracy.
9. Always show complete workings in essay questions, as marks are awarded for the correct method even if the final answer is incorrect.
10. Revise formulas regularly and memorize those commonly tested in NECO General Mathematics.