Geometry Practice Questions
IGCSE (Cambridge) · IGCSE Mathematics · 124 free MCQs with instant results and detailed explanations.
124
Total
32
Easy
72
Medium
20
Hard
Start Practicing Geometry
Take a timed quiz or customize your practice session
Sample Questions from Geometry
Here are 10 sample questions. Start a quiz to get randomized questions with scoring.
Q1
Easy
If the radius of a circle is 7 cm, what is the area of the circle? (Use ฯ = 22/7)
A.
154 cmยฒ
B.
144 cmยฒ
C.
100 cmยฒ
D.
196 cmยฒ
Show Answer & Explanation
Correct Answer: A
The area of a circle is calculated using the formula A = ฯrยฒ. Substituting r = 7 cm, we get A = (22/7) * (7ยฒ) = 154 cmยฒ.
Q2
Easy
A rectangle has a length of 10 cm and a width of 5 cm. What is its perimeter?
A.
30 cm
B.
20 cm
C.
15 cm
D.
25 cm
Show Answer & Explanation
Correct Answer: A
The perimeter of a rectangle is calculated as P = 2(length + width). Thus, P = 2(10 cm + 5 cm) = 30 cm.
Q3
Easy
Which of the following shapes has all sides equal and all angles equal?
A.
Square
B.
Rectangle
C.
Trapezium
D.
Rhombus
Show Answer & Explanation
Correct Answer: A
A square is defined as a quadrilateral with all sides equal and all angles equal (90 degrees each).
Q4
Medium
A triangle has angles measuring 45 degrees and 75 degrees. What is the measure of the third angle?
A.
60 degrees
B.
45 degrees
C.
30 degrees
D.
40 degrees
Show Answer & Explanation
Correct Answer: A
The sum of the angles in a triangle is 180 degrees. Therefore, the third angle is calculated as 180 - (45 + 75) = 60 degrees.
Q5
Medium
What is the area of a circle with a radius of 7 cm? (Use ฯ = 3.14)
A.
154 cmยฒ
B.
144 cmยฒ
C.
169 cmยฒ
D.
196 cmยฒ
Show Answer & Explanation
Correct Answer: A
The area of a circle is calculated using the formula A = ฯrยฒ. Substituting the radius 7 cm gives A = 3.14 * (7ยฒ) = 3.14 * 49 = 154 cmยฒ.
Q6
Medium
In a right triangle, the lengths of the two legs are 6 cm and 8 cm. What is the length of the hypotenuse?
A.
10 cm
B.
12 cm
C.
14 cm
D.
8 cm
Show Answer & Explanation
Correct Answer: A
Using the Pythagorean theorem, aยฒ + bยฒ = cยฒ, where a = 6 cm and b = 8 cm, we calculate c = โ(6ยฒ + 8ยฒ) = โ(36 + 64) = โ100 = 10 cm.
Q7
Medium
If the angles of a triangle are in the ratio 2:3:5, what is the measure of the smallest angle?
A.
36ยฐ
B.
18ยฐ
C.
72ยฐ
D.
54ยฐ
Show Answer & Explanation
Correct Answer: A
Let the angles be 2x, 3x, and 5x. The sum of angles in a triangle is 180ยฐ. Therefore, 2x + 3x + 5x = 180ยฐ gives 10x = 180ยฐ, thus x = 18ยฐ. The smallest angle is 2x = 36ยฐ.
Q8
Hard
A triangle has angles measuring 35 degrees and 85 degrees. What is the measure of the third angle?
A.
60 degrees
B.
70 degrees
C.
80 degrees
D.
90 degrees
Show Answer & Explanation
Correct Answer: B
The sum of the angles in a triangle is always 180 degrees. Therefore, the third angle can be found by subtracting the sum of the other two angles from 180 degrees: 180 - (35 + 85) = 70 degrees.
Q9
Hard
A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Which of the following statements is true regarding this triangle?
A.
It is a right triangle.
B.
It is an equilateral triangle.
C.
It is an isosceles triangle.
D.
It has an area of 84 cmยฒ.
Show Answer & Explanation
Correct Answer: A
The triangle with sides 7 cm, 24 cm, and 25 cm satisfies the Pythagorean theorem: 7ยฒ + 24ยฒ = 49 + 576 = 625 = 25ยฒ. Thus, it is a right triangle.
Q10
Hard
A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. What type of triangle is it?
A.
Scalene
B.
Isosceles
C.
Right-angled
D.
Equilateral
Show Answer & Explanation
Correct Answer: C
The triangle is right-angled because 7^2 + 24^2 = 25^2 (49 + 576 = 625). This satisfies the Pythagorean theorem, confirming it is a right triangle.
Showing 10 of 124 questions. Start a quiz to practice all questions with scoring and timer.
Practice All 124 Questions →Other IGCSE (Cambridge) Subjects
Geometry โ IGCSE (Cambridge) IGCSE Mathematics Practice Questions Online
This page contains 124 practice MCQs for the chapter Geometry in IGCSE (Cambridge) IGCSE Mathematics. The questions are organized by difficulty โ 32 easy, 72 medium, 20 hard โ 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.