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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Score/ 16
Question 1
A rectangular park is 117 m long and 33 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 3 cm by 12 cm by 24 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 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 4
A rectangular park is 119 m long and 37 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 1 cm by 4 cm by 8 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 15 m ladder leans against a wall. Its foot is 9 m from the wall. How high up the wall does it reach, in m?
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Question 7
A rectangular park is 58 m long and 47 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 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 9
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 10
A rectangular park is 63 m long and 43 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 6 cm by 18 cm by 27 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 80 m long and 40 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 3 cm by 6 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 15 m ladder leans against a wall. Its foot is 9 m from the wall. How high up the wall does it reach, in m?
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Question 16
A rectangular park is 56 m long and 60 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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