Geometria Practice Questions
ENEM (Brazil) · ENEM Matemática · 126 free MCQs with instant results and detailed explanations.
126
Total
37
Easy
68
Medium
21
Hard
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Sample Questions from Geometria
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Q1
Easy
If the circumference of a circle is 31.4 cm, what is the radius?
A.
5 cm
B.
7 cm
C.
10 cm
D.
15 cm
Show Answer & Explanation
Correct Answer: A
The circumference C of a circle is given by C = 2 × π × r. Rearranging gives r = C / (2 × π). Thus, r = 31.4 cm / (2 × 3.14) = 5 cm.
Q2
Easy
A rectangle has a length of 8 m and a width of 4 m. What is the perimeter of the rectangle?
A.
24 m
B.
32 m
C.
12 m
D.
20 m
Show Answer & Explanation
Correct Answer: A
The perimeter P of a rectangle is calculated using the formula P = 2 × (length + width). Here, P = 2 × (8 m + 4 m) = 24 m.
Q3
Easy
If the circumference of a circle is 31.4 cm, what is the radius of the circle? (Use π ≈ 3.14)
A.
5 cm
B.
10 cm
C.
7 cm
D.
6 cm
Show Answer & Explanation
Correct Answer: A
The formula for the circumference of a circle is C = 2πr. Given C = 31.4 cm and using π ≈ 3.14, we can solve for r: 31.4 = 2 × 3.14 × r, which simplifies to r = 5 cm.
Q4
Medium
A rectangular garden has a length of 12 m and a width of 7 m. If a path of uniform width 'x' is added around it, what is the area of the path in terms of x?
A.
84 + 2x(12 + 7)
B.
84 + 14x + 4x²
C.
84 + 14x
D.
84 + 12x + 7x
Show Answer & Explanation
Correct Answer: B
The area of the garden is 12 * 7 = 84 m². The total area with the path is (12 + 2x)(7 + 2x). Expanding gives the area as 84 + 14x + 4x².
Q5
Medium
In a right triangle, one angle measures 30 degrees. If the hypotenuse is 10 cm, what is the length of the opposite side?
A.
5 cm
B.
10 cm
C.
7.5 cm
D.
8.66 cm
Show Answer & Explanation
Correct Answer: A
In a right triangle, the opposite side can be found using the sine function: sin(30°) = opposite/hypotenuse. Thus, opposite = 10 * sin(30°) = 10 * 0.5 = 5 cm.
Q6
Medium
What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?
A.
45π cm³
B.
54π cm³
C.
30π cm³
D.
36π cm³
Show Answer & Explanation
Correct Answer: A
The volume of a cylinder is calculated using the formula: Volume = πr²h. Here, Volume = π(3)²(5) = 45π cm³.
Q7
Medium
A rectangular garden has a length that is three times its width. If the perimeter of the garden is 96 meters, what is the area of the garden in square meters?
A.
576
B.
432
C.
288
D.
144
Show Answer & Explanation
Correct Answer: B
To find the area, first determine the dimensions. Let the width be x, then the length is 3x. The perimeter is 2(length + width) = 96. Therefore, 2(3x + x) = 96, leading to 8x = 96, thus x = 12. The area is length × width = 3x × x = 3(12) × 12 = 432.
Q8
Hard
A trapezoid has bases of lengths 10 cm and 14 cm, and the height is 5 cm. What is the area of the trapezoid?
A.
60 cm²
B.
70 cm²
C.
80 cm²
D.
90 cm²
Show Answer & Explanation
Correct Answer: B
The area of a trapezoid is calculated by the formula Area = (base1 + base2) * height / 2. Here, Area = (10 + 14) * 5 / 2 = 120 / 2 = 70 cm².
Q9
Hard
A cylinder has a height of 10 cm and a base radius of 4 cm. What is the volume of the cylinder? (Use π ≈ 3.14)
A.
502.4 cm³
B.
160 cm³
C.
125.6 cm³
D.
50.24 cm³
Show Answer & Explanation
Correct Answer: A
The volume of a cylinder is calculated using the formula V = πr²h. Substituting r = 4 cm and h = 10 cm gives V = 3.14 * (4²) * 10 = 502.4 cm³.
Q10
Hard
In triangle ABC, angle A is 30°, angle B is 60°, and side a (opposite angle A) measures 10 cm. What is the length of side b (opposite angle B)?
A.
8.66 cm
B.
5 cm
C.
12 cm
D.
10 cm
Show Answer & Explanation
Correct Answer: A
Using the Law of Sines: a/sin(A) = b/sin(B). Therefore, b = a * (sin(B)/sin(A)) = 10 * (sin(60°)/sin(30°)) = 10 * (√3/2)/(1/2) = 10 * √3 = 8.66 cm.
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Geometria — ENEM (Brazil) ENEM Matemática Practice Questions Online
This page contains 126 practice MCQs for the chapter Geometria in ENEM (Brazil) ENEM Matemática. The questions are organized by difficulty — 37 easy, 68 medium, 21 hard — so you can choose the right level for your preparation.
Every question includes a detailed explanation to help you understand the concept, not just memorize answers. Take a timed quiz to simulate exam conditions, or practice at your own pace with no time limit.