0580/32 Feb/Mar 2023, Question 1: Time Calculations
Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 14 marks
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The question, in short
Complete a café opening-hours table, then calculate waiter yearly pay, chef hourly rate, Raj's change from $20, and tally and chart baguette sales.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Part (a) · 3 marks
Fill the four missing opening, closing or hours-open values in the café table, given the 29-hour weekly total.
- 1Thursday: 8 am to 4.30 pm = 8 1/2 hours
- 2Friday closing: 8.30 am + 7 1/2 hours = 4.00 pm
- 3Sunday opening: 3.30 pm − 5 hours = 10.30 am
- 4Check: 8 1/2 + 7 1/2 + 8 + 5 = 29 hours
- 5Sunday opens 10.30 am, Friday closes 4.00 pm, Thursday open 8 1/2 hours
Answer10.30 am, 4.00 pm, 8 1/2
Part (bi) · 2 marks
Find the waiter's total yearly pay from 29 hours a week, $9.50 per hour, over 52 weeks.
- 1Pay per week = 29 × 9.50 = $275.50
- 2Pay per year = 275.50 × 52 = $14326
Answer14326
Part (bii) · 2 marks
Work out the chef's hourly rate, which is 32% more than the waiter's $9.50 per hour.
- 1Chef's rate = 9.50 × (100 + 32)/100
- 2= 9.50 × 1.32 = $12.54
Answer12.54
Part (c) · 3 marks
Calculate change from $20 after buying 2 coffees at $2.50, 1 tea at $2.30 and 3 pizzas at $3.70.
- 1Coffee: 2 × 2.50 = $5.00
- 2Pizza: 3 × 3.70 = $11.10
- 3Total = 5.00 + 2.30 + 11.10 = $18.40
- 4Change = 20 − 18.40 = $1.60
Answer1.60
Part (di) · 2 marks
Complete the frequency table for cheese, egg and salad baguettes from the recorded list, using tallies if helpful.
- 1Count each type in the list: cheese 4 + 3, egg 2 + 2, salad 5 + 6
- 2Cheese = 7, Egg = 4, Salad = 11 (total 22)
Answer7, 4, 11
Part (dii) · 2 marks
Draw a bar chart on the grid showing the frequencies of cheese, egg and salad baguettes.
- 1Draw three separate bars of equal width, one for each type
- 2Cheese bar to height 7, Egg bar to height 4, Salad bar to height 11
- 3Label each bar with its type
AnswerCorrect bar chart
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