4MA1/1HR Jan 2021, Question 19: Calculating with Bounds
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 3 marks
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The question, in short
Using k = t/(a − h) with t = 14, a = 7.8, h = 3.4 each given to 2 significant figures, find the lower bound of k, showing working.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Bounds: t from 13.5 to 14.5, a from 7.75 to 7.85, h from 3.35 to 3.45
- 2Smallest k uses the smallest t and the largest a − h
- 3k = 13.5 ÷ (7.85 − 3.35) = 13.5 ÷ 4.5 = 3.0
Answer3.0
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