2026/2027 NECO Mathematics Questions and Answers (Objective and Essay)
This NECO General Mathematics Mock Examination is designed to help students prepare effectively for the NECO General Mathematics exam through structured revision and realistic practice. The mock test closely follows the format, question style, and level of difficulty commonly found in the official NECO Mathematics examination.
Covering all major topics in the Senior Secondary School (SSS) Mathematics syllabus, this practice exam enables students to assess their understanding, identify weak areas, and build confidence before the actual examination.
Whether you’re revising independently, preparing with a teacher, or testing your exam readiness, this NECO Mathematics practice test provides valuable experience with the types of questions you can expect in the real exam, helping you improve your problem-solving skills and maximize your performance.
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.
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.
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
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
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
Green = 1/5
Red = ½
Blue = 3/10
