Lemmara logoLemmaraWorked solution

4024/22 May/Jun 2023, Question 1: Number Review: Mixed Practice

Cambridge O Level Mathematics 4024 · Paper 22 (Calculator) · Calculator · 12 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using a table of fruit costs with unknowns p, q, r, s and a total of 240.30, find the unknowns, then work out profit and pie chart values from given sales figures.

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

Part (ai) · 4 marks

Find the values of p, q, r and s from the table and the total cost price of 240.30.

  1. 1p = 72 × 1.35 = 97.20
  2. 2q = 240.30 − 25.50 − 97.20 − 51.30 = 66.30
  3. 3r = 66.30 ÷ 1.95 = 34
  4. 4s = 51.30 ÷ 45 = 1.14

Answerp = 97.20, q = 66.30, r = 34, s = 1.14

Part (aii) · 2 marks

Given total selling price 325, calculate the percentage profit on the fruit.

  1. 1Profit = 325 − 240.30 = 84.70
  2. 2Percentage profit = 84.70/240.30 × 100 = 35.24… ≈ 35.2%

Answer35.2 or 35.24 to 35.25

Part (bia) · 2 marks

Calculate the pie chart angle for fruit sales of 9520.70 out of total sales 34 974.

  1. 1Angle = 9520.70/34 974 × 360
  2. 2= 98°

Answer98

Part (bib) · 2 marks

Given a frozen food angle of 46°, calculate the frozen food sales from total sales 34 974.

  1. 1Sales = 46/360 × 34 974
  2. 2= $4468.90

Answer4468.90

Part (bii) · 2 marks

Given total sales 34 974 in 2022 are a 4.4% increase, calculate the 2021 total sales.

  1. 12021 sales × 1.044 = 34 974
  2. 22021 sales = 34 974 ÷ 1.044 = $33 500

Answer33 500

Stuck on a step? Read the free lesson: Number Review: Mixed Practice

Practise more number review: mixed practice questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on number review: mixed practice

Also searched as: 4024/22/M/J/23 · 4024_s23_qp_22 · 4024 s23 22 · question 1.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.