Geometry Practice Questions
Common Core (US) · Common Core Math Grade 7 · 116 free MCQs with instant results and detailed explanations.
116
Total
36
Easy
58
Medium
22
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 8 cm and a width of 5 cm?
A.
40 cm²
B.
35 cm²
C.
30 cm²
D.
45 cm²
Show Answer & Explanation
Correct Answer: A
The area of a rectangle is calculated by multiplying its length by its width. Here, area = 8 cm × 5 cm = 40 cm², making option A the correct choice.
Q2
Easy
What is the area of a rectangle with a length of 8 cm and a width of 3 cm?
A.
24 cm²
B.
11 cm²
C.
26 cm²
D.
20 cm²
Show Answer & Explanation
Correct Answer: A
The area of a rectangle is calculated by multiplying the length by the width. Here, 8 cm * 3 cm = 24 cm².
Q3
Easy
If a triangle has angles measuring 40° and 60°, what is the measure of the third angle?
A.
80°
B.
100°
C.
60°
D.
70°
Show Answer & Explanation
Correct Answer: A
The sum of angles in a triangle is always 180°. Therefore, the third angle can be found by subtracting the sum of the other two angles from 180°: 180° - (40° + 60°) = 80°.
Q4
Medium
A circle has a radius of 7 cm. What is the diameter of the circle?
A.
14 cm
B.
21 cm
C.
49 cm
D.
7 cm
Show Answer & Explanation
Correct Answer: A
The diameter of a circle is twice the radius. Therefore, if the radius is 7 cm, the diameter is 2 × 7 cm = 14 cm.
Q5
Medium
A triangular prism has a triangular base with a base of 6 cm and a height of 4 cm. If the height of the prism is 10 cm, what is the volume of the prism?
A.
120 cm³
B.
60 cm³
C.
40 cm³
D.
80 cm³
Show Answer & Explanation
Correct Answer: A
The volume of a prism is given by the formula V = base area × height. The area of the triangular base is (1/2 × base × height) = (1/2 × 6 cm × 4 cm) = 12 cm². Thus, V = 12 cm² × 10 cm = 120 cm³.
Q6
Medium
What is the measure of each interior angle of a regular hexagon?
A.
120°
B.
90°
C.
60°
D.
150°
Show Answer & Explanation
Correct Answer: A
The formula for the measure of each interior angle of a regular polygon is (n-2) × 180° / n. For a hexagon (n=6), it is (6-2) × 180° / 6 = 120°.
Q7
Medium
If a rectangle has a length of 12 cm and a width of 8 cm, what is the perimeter?
A.
40 cm
B.
32 cm
C.
24 cm
D.
48 cm
Show Answer & Explanation
Correct Answer: A
The perimeter of a rectangle is calculated by the formula P = 2(length + width). Here, P = 2(12 cm + 8 cm) = 2(20 cm) = 40 cm.
Q8
Hard
A triangular garden has sides of lengths 7 m, 8 m, and 9 m. What is the area of the garden?
A.
26.83 m²
B.
27.55 m²
C.
28.00 m²
D.
30.00 m²
Show Answer & Explanation
Correct Answer: A
The area of a triangle can be found using Heron's formula. First, calculate the semi-perimeter (s = (7+8+9)/2 = 12). Then, use the formula A = √(s(s-a)(s-b)(s-c)) where a, b, c are the sides. A = √(12(12-7)(12-8)(12-9)) = √(12*5*4*3) = √(720) = 26.83 m².
Q9
Hard
A rectangular prism has a length of 10 cm, a width of 5 cm, and a height of 8 cm. If the prism is cut in half parallel to the base, what is the surface area of one of the resulting halves?
A.
380 cm²
B.
360 cm²
C.
280 cm²
D.
240 cm²
Show Answer & Explanation
Correct Answer: A
When the prism is cut in half, the height is reduced to 4 cm. The surface area of one half consists of the two bases (5 cm × 10 cm) plus the three side areas: (5 cm × 4 cm) + (10 cm × 4 cm) + (5 cm × 10 cm). Calculating this gives us a total of 380 cm².
Q10
Hard
A triangle has one angle measuring 35 degrees and another angle measuring 75 degrees. What is the measure of the third angle?
A.
70 degrees
B.
80 degrees
C.
85 degrees
D.
90 degrees
Show Answer & Explanation
Correct Answer: A
The sum of the angles in a triangle is always 180 degrees. With angles measuring 35 and 75 degrees, the third angle can be calculated as 180 - (35 + 75) = 70 degrees.
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Geometry — Common Core (US) Common Core Math Grade 7 Practice Questions Online
This page contains 116 practice MCQs for the chapter Geometry in Common Core (US) Common Core Math Grade 7. The questions are organized by difficulty — 36 easy, 58 medium, 22 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.