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A carpenter measures the length, k metres, of a piece of wood - OCR - GCSE Maths - Question 18 - 2021 - Paper 3
Question 18
A carpenter measures the length, k metres, of a piece of wood. They write 3.35 < k < 3.45. (a) Put rings around all possible values of k in the list below. 3.349... show full transcript
Worked Solution & Example Answer:A carpenter measures the length, k metres, of a piece of wood - OCR - GCSE Maths - Question 18 - 2021 - Paper 3
Step 1
Put rings around all possible values of k in the list below
Answer
In the range 3.35 < k < 3.45, we identify the values of k that fall within this interval:
- 3.349: This is less than 3.35, so it should not be circled.
- 3.39: This is within the interval, so it should be circled.
- 3.44: This is also within the interval, so it should be circled.
- 3.45: This is equal to 3.45 and not included in the interval, so it should not be circled.
- 3.55: This is greater than 3.45, so it should not be circled.
Step 2
Explain how you know that she is incorrect.
Answer
The carpenter is incorrect because if 3.4 metres is measured to the nearest centimetre, it can actually lie within the range of:
This means k could be less than 3.35 or greater than 3.45, which does not satisfy the original measurement 3.35 < k < 3.45.
Step 3