0580/42 Feb/Mar 2022, Question 1: Introduction to Percentages

Part (a) · 2 marks

Calculate the percentage increase in workers from 300 to 852.

1. 1Increase = 852 − 300 = 552
2. 2552/300 × 100 = 184%

Answer184

Part (b) · 2 marks

Using ratio part-time : full-time = 5 : 7 out of 852, calculate the number of full-time workers.

1. 1852 ÷ (5 + 7) = 71
2. 2Full-time = 71 × 7 = 497

Answer497

Part (ci) · 1 mark

Write the number 40600 in words.

1. 140 600 = forty thousand six hundred

AnswerForty thousand six hundred

Part (cii) · 1 mark

Write 40600 in standard form.

1. 140 600 = 4.06 × 10 000
2. 2= 4.06 × 10⁴

Answer4.06 × 10⁴

Part (d) · 3 marks

From 3000 headphones, 48% exported and 3/8 sold to shops; calculate the number sold online.

1. 1Exported = 48/100 × 3000 = 1440
2. 2Shops = 3/8 × 3000 = 1125
3. 3Online = 3000 − 1440 − 1125 = 435

Answer435

Part (e) · 3 marks

Sales rise 15% then 18%; calculate the overall percentage increase in sales.

1. 1Multiplier = 1.15 × 1.18 = 1.357
2. 2Overall increase = (1.357 − 1) × 100 = 35.7%

Answer35.7

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