7th grade geometry
7th grade (Year 8 in England) · 16 questions · Common Core: 7.G.B.4, 7.G.B.5, 7.G.B.6, 7.G.A.1 · England: KS3 Geometry, GCSE Foundation Geometry, KS3 Geometry and measures
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Question 1
What is the area of a quarter circle with radius 7 ft? Round to 1 decimal place.
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Question 2
What is the supplement of 49°?
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Question 3
5 equal angles fit exactly around a point, like slices of a round cake. How big is each angle, in degrees?
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Question 4
Isla says the complement of 15° is 165°. What mistake did Isla make, and what is the correct complement?
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Question 5
A circular lawn sprinkler waters everything within 11 m of it. What area does it water, in m², to the nearest whole number?
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Question 6
A circle has radius 14 m. Give its circumference in terms of π: it is kπ m. What is k?
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Question 7
In a triangle, two angles are 39° and 77°. One side is extended to make an exterior angle next to the third angle. How big is that exterior angle?
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Question 8
A triangular prism has right-angled triangle ends with sides 3 cm, 4 cm and 5 cm. It is 11 cm long. Find its total surface area, in cm².
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Question 9
What is the supplement of a 164° angle?
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Question 10
Two angles on a straight line are (2x + 24)° and 112°. Find x.
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Question 11
A window is a 8 dm by 5 dm rectangle with a semicircle on top (the semicircle's diameter is the 8 dm side). Find the total area of glass in dm², to 1 decimal place.
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Question 12
A circle has circumference 36π cm. What is its diameter, in cm?
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Question 13
A prism has a cross-section of area 41 m² and length 2 m. What is its volume, in m³?
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Question 14
Four angles meet at a point: 55°, 44°, 31° and x°. Find x.
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Question 15
Two angles are complementary. One is x° and the other is (3x + 30)°. Find x.
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Question 16
An isosceles triangle has two equal base angles of 23°. What is the third angle?
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