Geometry Practice Questions

Thanaweya Amma (Egypt) · Thanaweya Mathematics · 115 free MCQs with instant results and detailed explanations.

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Sample Questions from Geometry

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Easy

What is the area of a circle with a radius of 5 cm? Use π = 3.14.

A. 25.0 cm²

B. 78.5 cm²

C. 31.4 cm²

D. 15.7 cm²

Show Answer & Explanation

Correct Answer: B

The area of a circle is calculated using the formula A = πr². Here A = 3.14 × (5)² = 3.14 × 25 = 78.5 cm².

Easy

What is the sum of the angles in a triangle?

A. 180 degrees

B. 360 degrees

C. 90 degrees

D. 120 degrees

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Correct Answer: A

The sum of the interior angles of any triangle is always 180 degrees, which is a fundamental property of triangles in Euclidean geometry.

Easy

What is the length of the hypotenuse in a right triangle with legs of lengths 3 cm and 4 cm?

A. 5 cm

B. 7 cm

C. 10 cm

D. 6 cm

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Correct Answer: A

Using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: 3² + 4² = 9 + 16 = 25, thus the hypotenuse is √25 = 5 cm.

Medium

In triangle ABC, if angle A is 40° and angle B is 60°, what is the measure of angle C?

A. 80°

B. 100°

C. 120°

D. 70°

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Correct Answer: A

The sum of angles in a triangle is always 180°. Therefore, angle C = 180° - (angle A + angle B) = 180° - (40° + 60°) = 80°.

Medium

A rectangular garden has a length of 10 meters and a width of 4 meters. What is the area of the garden?

A. 40 m²

B. 50 m²

C. 60 m²

D. 70 m²

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Correct Answer: A

The area of a rectangle is calculated by multiplying its length by its width. Therefore, Area = 10 m × 4 m = 40 m².

Medium

If a circle has a radius of 7 cm, what is its circumference? (Use π ≈ 22/7)

A. 44 cm

B. 30 cm

C. 28 cm

D. 20 cm

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Correct Answer: A

Circumference of a circle is calculated using the formula C = 2πr. Therefore, C = 2 × (22/7) × 7 = 44 cm.

Medium

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm? (Use π ≈ 3.14)

A. 47.1 cm³

B. 28.26 cm³

C. 45 cm³

D. 60 cm³

Show Answer & Explanation

Correct Answer: A

Volume of a cylinder is calculated using V = πr²h. Therefore, V = 3.14 × (3 cm)² × 5 cm = 47.1 cm³.

Hard

In triangle ABC, if angle A = 60 degrees and angle B = 70 degrees, what is the measure of angle C?

A. 50 degrees

B. 60 degrees

C. 70 degrees

D. 80 degrees

Show Answer & Explanation

Correct Answer: A

The sum of angles in a triangle is always 180 degrees. Therefore, angle C can be found by subtracting the sum of angle A and angle B from 180: C = 180 - (60 + 70) = 50 degrees.

Hard

A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. What is the area of this triangle?

A. 84 cm²

B. 96 cm²

C. 120 cm²

D. 168 cm²

Show Answer & Explanation

Correct Answer: A

Using Heron's formula, the semi-perimeter s = (7 + 24 + 25) / 2 = 28 cm. The area A = √[s(s-a)(s-b)(s-c)] = √[28(28-7)(28-24)(28-25)] = √[28 * 21 * 4 * 3] = 84 cm².

Q10

Hard

In triangle ABC, angle A is 30 degrees and angle B is 60 degrees. If the length of side a (opposite angle A) is 10 units, what is the length of side b (opposite angle B)?

A. 10√3

B. 15

C. 10

D. 5

Show Answer & Explanation

Correct Answer: A

Using the sine rule, b/a = sin(B)/sin(A). Here, sin(60°) = √3/2 and sin(30°) = 1/2. Thus, b = a * (sin(B)/sin(A)) = 10 * (√3/2) / (1/2) = 10√3.

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Geometry — Thanaweya Amma (Egypt) Thanaweya Mathematics Practice Questions Online

This page contains 115 practice MCQs for the chapter Geometry in Thanaweya Amma (Egypt) Thanaweya Mathematics. The questions are organized by difficulty — 28 easy, 69 medium, 18 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.