Pythagoras in real life
8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.B.7 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures
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Question 1
A rectangular park is 76 m long and 45 m wide. Instead of walking along two sides, you cut across the diagonal. How many metres shorter is the shortcut? Round to the nearest metre.
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Question 2
A box is 6 cm by 6 cm by 7 cm. What is the length of the longest straight rod that fits inside, from one corner to the opposite corner, in cm?
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Question 3
A 13 m ladder leans against a wall. Its foot is 5 m from the wall. How high up the wall does it reach, in m?
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Question 4
A rectangular park is 54 m long and 50 m wide. Instead of walking along two sides, you cut across the diagonal. How many metres shorter is the shortcut? Round to the nearest metre.
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Question 5
A box is 2 cm by 10 cm by 11 cm. What is the length of the longest straight rod that fits inside, from one corner to the opposite corner, in cm?
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Question 6
A 13 m ladder leans against a wall. Its foot is 5 m from the wall. How high up the wall does it reach, in m?
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Question 7
A rectangular park is 52 m long and 54 m wide. Instead of walking along two sides, you cut across the diagonal. How many metres shorter is the shortcut? Round to the nearest metre.
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Question 8
A box is 2 cm by 6 cm by 9 cm. What is the length of the longest straight rod that fits inside, from one corner to the opposite corner, in cm?
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Question 9
A 5 m ladder leans against a wall. Its foot is 3 m from the wall. How high up the wall does it reach, in m?
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Question 10
A rectangular park is 63 m long and 44 m wide. Instead of walking along two sides, you cut across the diagonal. How many metres shorter is the shortcut? Round to the nearest metre.
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Question 11
A box is 4 cm by 20 cm by 22 cm. What is the length of the longest straight rod that fits inside, from one corner to the opposite corner, in cm?
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Question 12
A 10 m ladder leans against a wall. Its foot is 6 m from the wall. How high up the wall does it reach, in m?
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Question 13
A rectangular park is 60 m long and 51 m wide. Instead of walking along two sides, you cut across the diagonal. How many metres shorter is the shortcut? Round to the nearest metre.
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Question 14
A box is 2 cm by 6 cm by 9 cm. What is the length of the longest straight rod that fits inside, from one corner to the opposite corner, in cm?
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Question 15
A 5 m ladder leans against a wall. Its foot is 3 m from the wall. How high up the wall does it reach, in m?
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Question 16
A rectangular park is 70 m long and 56 m wide. Instead of walking along two sides, you cut across the diagonal. How many metres shorter is the shortcut? Round to the nearest metre.
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