7th grade geometry

Question 1

Two vertically opposite angles are (4x + 11)° and 95°. Find x.

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Question 2

Two angles are supplementary. One is x° and the other is (2x + 129)°. Find x.

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Question 3

Can sticks of length 8 cm, 12 cm and 22 cm make a triangle?

• A. Yes
• B. No

Question 4

A cone is sliced parallel to its base. What shape is the cut face (cross-section)?

• A. Triangle
• B. Pentagon
• C. Circle
• D. Square

Question 5

An isosceles triangle has two equal base angles of 74°. What is the third angle?

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Question 6

Find the area of a semicircle with radius 12 cm, to 1 decimal place.

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Question 7

A window is a 12 dm by 4 dm rectangle with a semicircle on top (the semicircle's diameter is the 12 dm side). Find the total area of glass in dm², to 1 decimal place.

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Question 8

A tent is a triangular prism. Its triangular end has base 12 m and height 10 m. The tent holds 420 m³ of air. How long is the tent, in m?

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Question 9

What is the supplement of 67°?

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Question 10

A circle has diameter 12 ft. Find its circumference in ft. Use π ≈ 3.14159 (your calculator's π) and round to 1 decimal place.

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Question 11

What is the complement of a 10° angle?

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Question 12

A prism has a pentagon at each end. It is sliced parallel to the ends. How many sides does the cross-section have?

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Question 13

A circle has diameter 14 yd. Its area is kπ yd². What is k?

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Question 14

A circular lawn sprinkler waters everything within 10 m of it. What area does it water, in m², to the nearest whole number?

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Question 15

A circular running track has circumference 48 m. Find its diameter in metres, to 1 decimal place.

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Question 16

In a triangle, two angles are 73° and 58°. One side is extended to make an exterior angle next to the third angle. How big is that exterior angle?

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