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4MA1/1F Jun 2019, Question 3: Estimation

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

Using a table of six African lakes' surface areas in square kilometres, answer parts on smallest lake, writing 6405 in words, rounding 68879, and checking Sammy's 5 1/2 times claim.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Identify which of the six listed lakes has the smallest surface area from the table.

  1. 1Compare surface areas: 5299, 29500, 5120, 32600, 6405, 68879
  2. 2Smallest value is 5120
  3. 3Lake with 5120 km² is Mweru

AnswerMweru

Part (b) · 1 mark

Write the number 6405 in words.

  1. 1Write 6405 in words: six thousand four hundred and five

Answersix thousand four hundred and five

Part (c) · 1 mark

Round the number 68879 to the nearest thousand.

  1. 1Look at 68 879
  2. 2Thousands digit is 8, next digit is 8 which is ≥ 5
  3. 3Round up: 68 000 → 69 000

Answer69 000

Part (d) · 2 marks

Decide whether Lake Malawi's area is about 5 1/2 times Lake Albert's, giving a reason.

  1. 1Calculate 5299 × 5.5 = 29144.5
  2. 2Compare to Malawi's area: 29144.5 ≈ 29500
  3. 3Difference is small relative to size
  4. 4Yes, because 5.5 × Albert’s area is close to Malawi’s area

AnswerYes, because 5299 × 5.5 = 29 144.5, which is close to Lake Malawi's 29 500 km²

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