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4MA1/1F Jun 2021, Question 5: Reverse Percentages

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 7 marks

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The question, in short

Answer six short number questions: order decimals, round to 2 decimal places, convert a decimal to a fraction, give the value of a digit, convert a percentage to a decimal, and find a number from a percentage.

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

Part (a) · 1 mark

Arrange 2.08, 2.13, 2.7, 2.0034 and 2.111 from smallest to largest.

  1. 1Compare the decimal places starting from the left.
  2. 22.0034 is smallest (only 0 in tenths and hundredths).
  3. 3Next is 2.08 (8 in hundredths).
  4. 4Then 2.111 (1 in tenths, 1 in thousandths).
  5. 5Then 2.13 (3 in hundredths).
  6. 6Largest is 2.7 (7 in tenths).

Answer2.0034, 2.08, 2.111, 2.13, 2.7

Part (b) · 1 mark

Round 5.8394 to 2 decimal places.

  1. 1Look at the third decimal place of 5.8394, which is 9.
  2. 29 ≥ 5, so round up the second decimal place from 3 to 4.
  3. 35.8394 rounded to 2 decimal places is 5.84.

Answer5.84

Part (c) · 1 mark

Express 0.73 as a fraction.

  1. 10.73 means 73 hundredths.
  2. 2Write as fraction: 73/100.

Answer73/100

Part (d) · 1 mark

State the value of the digit 6 in 0.067.

  1. 1In 0.067, the 6 is two places to the right of the decimal point.
  2. 2This is the hundredths place.
  3. 3So the value is 6 hundredths or 6/100.

Answer6 hundredths or 0.06

Part (e) · 1 mark

Convert 17% to a decimal.

  1. 1Percent means per hundred.
  2. 217% = 17 ÷ 100 = 0.17.

Answer0.17

Part (f) · 2 marks

Given that 70% of a number is 252, work out the number.

  1. 170% of a number is 252.
  2. 2So, 252 ÷ 0.7 = ?
  3. 3252 ÷ 0.7 = 2520 ÷ 7 = 360.

Answer360

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