Andrea is 165 cm tall, correct to the nearest cm - OCR - GCSE Maths - Question 15 - 2019 - Paper 1
Question 15
Andrea is 165 cm tall, correct to the nearest cm.
Joel is 170 cm tall, correct to the nearest 10 cm.
Show that Andrea could be taller than Joel.
Worked Solution & Example Answer:Andrea is 165 cm tall, correct to the nearest cm - OCR - GCSE Maths - Question 15 - 2019 - Paper 1
Step 1
Determine the range for Andrea's height
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Answer
Andrea's height of 165 cm, correct to the nearest cm, means her actual height could be between 164.5 cm and 165.5 cm.
Step 2
Determine the range for Joel's height
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Answer
Joel's height of 170 cm, correct to the nearest 10 cm, means his actual height could be between 165 cm and 175 cm.
Step 3
Comparison
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Answer
The maximum height for Andrea is 165.5 cm, which is greater than the minimum height for Joel (165 cm). Therefore, it is possible for Andrea to be taller than Joel.
