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4MA1/1F Nov 2021, Question 2: Introduction to Percentages

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 6 marks

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The question, in short

Using a table of six Spanish teams' average match attendances, answer questions on identifying the lowest, rounding, place value, simplifying a ratio of shots, and converting a percentage to a fraction.

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 teams has the smallest average attendance figure from the table.

  1. 1Compare the six averages: 46 393, 38 699, 65 731, 37 378, 33 069, 65 027
  2. 2The smallest of these is 33 069
  3. 333 069 belongs to Sevilla, so Sevilla had the lowest average number of spectators per match.

AnswerSevilla

Part (b) · 1 mark

Round the attendance figure 65 731 to the nearest thousand.

  1. 1For the nearest thousand, look at the hundreds digit of 65 731, which is 7.
  2. 27 is 5 or more, so round the thousands digit up from 65 to 66.
  3. 365 731 to the nearest thousand is 66 000

Answer66 000

Part (c) · 1 mark

State the place value of the digit 6 in the number 38 699.

  1. 1In 38 699 the digits are 3 ten thousands, 8 thousands, 6 hundreds, 9 tens and 9 ones.
  2. 2The 6 is in the hundreds column.
  3. 3The value of the 6 is 600

Answer600

Part (d) · 1 mark

Express the ratio 8:12 of shots on target in its simplest form.

  1. 18 and 12 have a highest common factor of 4.
  2. 2Divide both parts by 4: 8 ÷ 4 = 2 and 12 ÷ 4 = 3
  3. 38 : 12 = 2 : 3

Answer2 : 3

Part (e) · 2 marks

Convert 72% possession into a fraction in its simplest form.

  1. 1Per cent means out of 100, so 72% = 72/100
  2. 272 and 100 have a highest common factor of 4.
  3. 372 ÷ 4 = 18 and 100 ÷ 4 = 25
  4. 472% = 18/25

Answer18/25

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