Geometry Practice Questions
K-12 (Philippines) · K-12 Mathematics · 121 free MCQs with instant results and detailed explanations.
121
Total
30
Easy
65
Medium
26
Hard
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Sample Questions from Geometry
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Q1
Easy
What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
A.
50 cm²
B.
30 cm²
C.
15 cm²
D.
25 cm²
Show Answer & Explanation
Correct Answer: A
The area of a rectangle is calculated by multiplying its length by its width. Here, Area = Length × Width = 10 cm × 5 cm = 50 cm².
Q2
Easy
A rectangle has a length of 10 cm and a width of 5 cm. What is its area?
A.
50 cm²
B.
15 cm²
C.
30 cm²
D.
100 cm²
Show Answer & Explanation
Correct Answer: A
The area of a rectangle is calculated by multiplying its length by its width. Thus, 10 cm * 5 cm = 50 cm².
Q3
Easy
Which of the following shapes has only one pair of parallel sides?
A.
Trapezoid
B.
Rectangle
C.
Square
D.
Triangle
Show Answer & Explanation
Correct Answer: A
A trapezoid is defined as a quadrilateral that has exactly one pair of parallel sides, making it the correct answer.
Q4
Medium
What is the measure of each interior angle of a regular hexagon?
A.
120 degrees
B.
90 degrees
C.
150 degrees
D.
60 degrees
Show Answer & Explanation
Correct Answer: A
A regular hexagon has 6 sides. Each interior angle can be calculated using the formula (n-2) * 180/n, where n is the number of sides. Thus, (6-2) * 180/6 = 120 degrees.
Q5
Medium
If the radius of a circle is doubled, what happens to the area of the circle?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It increases by half
Show Answer & Explanation
Correct Answer: B
The area of a circle is given by the formula A = πr². If the radius is doubled (2r), the new area is A' = π(2r)² = 4πr², which is four times the original area.
Q6
Medium
Which of the following statements about triangles is NOT true?
A.
The sum of the interior angles is always 180 degrees.
B.
An equilateral triangle has all sides equal.
C.
A right triangle can have two acute angles.
D.
The longest side is opposite the smallest angle.
Show Answer & Explanation
Correct Answer: C
In a triangle, a right triangle must have one angle exactly 90 degrees, leaving the other two angles to be acute; however, it cannot have two acute angles while still being classified as right.
Q7
Medium
Which of the following shapes has the largest area for a given perimeter?
A.
Square
B.
Rectangle
C.
Triangle
D.
Circle
Show Answer & Explanation
Correct Answer: D
Among all shapes with the same perimeter, a circle has the maximum area due to its symmetrical shape and the properties of geometric optimization.
Q8
Hard
A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. What type of triangle is this based on its side lengths?
A.
Acute triangle
B.
Right triangle
C.
Obtuse triangle
D.
Scalene triangle
Show Answer & Explanation
Correct Answer: B
This triangle is a right triangle because it satisfies the Pythagorean theorem (7^2 + 24^2 = 25^2).
Q9
Hard
In triangle ABC, if angle A = 45 degrees and angle B = 60 degrees, what is the measure of angle C?
A.
75 degrees
B.
80 degrees
C.
85 degrees
D.
90 degrees
Show Answer & Explanation
Correct Answer: A
The sum of angles in a triangle is always 180 degrees. Given angle A is 45 degrees and angle B is 60 degrees, we can find angle C by subtracting the sum of A and B from 180. Therefore, angle C = 180 - (45 + 60) = 180 - 105 = 75 degrees.
Q10
Hard
A rectangular park has a length that is twice its width. If the perimeter of the park is 120 meters, what is the area of the park?
A.
600 square meters
B.
800 square meters
C.
1000 square meters
D.
1200 square meters
Show Answer & Explanation
Correct Answer: B
Let the width be x meters. Then the length is 2x meters. The perimeter (P) is given by the formula P = 2(length + width). Therefore, 120 = 2(2x + x) which simplifies to 120 = 6x, giving x = 20. The area (A) is length times width = 2x * x = 2(20) * 20 = 800 square meters.
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Geometry — K-12 (Philippines) K-12 Mathematics Practice Questions Online
This page contains 121 practice MCQs for the chapter Geometry in K-12 (Philippines) K-12 Mathematics. The questions are organized by difficulty — 30 easy, 65 medium, 26 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.