Geometry and Mensuration Practice Questions
NECO (Nigeria) · NECO Mathematics · 125 free MCQs with instant results and detailed explanations.
125
Total
34
Easy
66
Medium
25
Hard
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Sample Questions from Geometry and Mensuration
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Q1
Easy
If a rectangle has a length of 8 m and a width of 3 m, what is its perimeter?
A.
22 m
B.
24 m
C.
30 m
D.
18 m
Show Answer & Explanation
Correct Answer: A
The perimeter of a rectangle is given by the formula: Perimeter = 2 ร (length + width). Here, Perimeter = 2 ร (8 m + 3 m) = 22 m.
Q2
Easy
A circle has a radius of 7 cm. What is its circumference? (Use ฯ โ 22/7)
A.
44 cm
B.
14 cm
C.
28 cm
D.
49 cm
Show Answer & Explanation
Correct Answer: A
The circumference of a circle is calculated using the formula: Circumference = 2 ร ฯ ร radius. Substituting the values gives Circumference = 2 ร (22/7) ร 7 cm = 44 cm.
Q3
Easy
A rectangle has a length of 12 m and a width of 8 m. What is its perimeter?
A.
40 m
B.
48 m
C.
20 m
D.
32 m
Show Answer & Explanation
Correct Answer: A
The perimeter of a rectangle is calculated using the formula: Perimeter = 2 ร (length + width). Here, Perimeter = 2 ร (12 m + 8 m) = 2 ร 20 m = 40 m, making option A correct.
Q4
Medium
A rectangular prism has a length of 8 cm, a width of 4 cm, and a height of 3 cm. What is its volume?
A.
96 cmยณ
B.
24 cmยณ
C.
60 cmยณ
D.
32 cmยณ
Show Answer & Explanation
Correct Answer: A
The volume of a rectangular prism is given by the formula Volume = length * width * height. Thus, Volume = 8 cm * 4 cm * 3 cm = 96 cmยณ.
Q5
Medium
A cylinder has a radius of 3 cm and a height of 10 cm. What is the total surface area?
A.
78 cmยฒ
B.
60 cmยฒ
C.
94 cmยฒ
D.
100 cmยฒ
Show Answer & Explanation
Correct Answer: A
The total surface area of a cylinder is given by the formula SA = 2ฯr(h + r). Here, SA = 2 * 3.14 * 3 cm * (10 cm + 3 cm) = 78 cmยฒ.
Q6
Medium
What is the area of a trapezium with bases of lengths 8 cm and 5 cm, and a height of 4 cm?
A.
26 cmยฒ
B.
30 cmยฒ
C.
20 cmยฒ
D.
32 cmยฒ
Show Answer & Explanation
Correct Answer: A
The area of a trapezium is calculated using the formula Area = (1/2) * (Base1 + Base2) * Height. Thus, Area = (1/2) * (8 cm + 5 cm) * 4 cm = 26 cmยฒ.
Q7
Medium
A cone has a radius of 3 cm and a height of 4 cm. What is the volume of the cone? (Use ฯ = 3.14)
A.
37.68 cmยณ
B.
25.12 cmยณ
C.
15.12 cmยณ
D.
21.12 cmยณ
Show Answer & Explanation
Correct Answer: A
The volume V of a cone is given by V = (1/3)ฯrยฒh. Substituting r = 3 cm and h = 4 cm gives V = (1/3)(3.14)(3ยฒ)(4) = 37.68 cmยณ.
Q8
Hard
A rectangular garden measures 12 meters by 8 meters. If a path of uniform width is added around the garden, increasing the total area to 200 square meters, what is the width of the path?
A.
1 meter
B.
2 meters
C.
3 meters
D.
4 meters
Show Answer & Explanation
Correct Answer: B
The original area of the garden is 96 square meters. The area of the garden with the path is 200 square meters, which means the area of the path is 104 square meters. Let the width of the path be x meters, then the dimensions become (12 + 2x) by (8 + 2x). Setting up the equation gives us (12 + 2x)(8 + 2x) = 200. Solving this results in x = 2 meters.
Q9
Hard
A cylindrical tank has a radius of 5m and a height of 10m. What is the volume of the tank in cubic meters?
A.
250ฯ
B.
500ฯ
C.
750ฯ
D.
1000ฯ
Show Answer & Explanation
Correct Answer: B
The volume of a cylinder is calculated using the formula V = ฯrยฒh. Substituting the values, V = ฯ(5)ยฒ(10) = ฯ(25)(10) = 250ฯ cubic meters.
Q10
Hard
A triangle has sides of lengths 7cm, 24cm, and 25cm. What is the area of the triangle?
A.
84 cmยฒ
B.
168 cmยฒ
C.
120 cmยฒ
D.
56 cmยฒ
Show Answer & Explanation
Correct Answer: A
This triangle is a right triangle (7ยฒ + 24ยฒ = 25ยฒ). The area is given by (1/2) * base * height = (1/2) * 7 * 24 = 84 cmยฒ.
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Geometry and Mensuration โ NECO (Nigeria) NECO Mathematics Practice Questions Online
This page contains 125 practice MCQs for the chapter Geometry and Mensuration in NECO (Nigeria) NECO Mathematics. The questions are organized by difficulty โ 34 easy, 66 medium, 25 hard โ so you can choose the right level for your preparation.
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