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Time, money and using a calculator

Revise Time, money and using a calculator for Mathematics D 4024 (O Level) — revision notes, 44 practice questions and instant AI marking.

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  Cambridge O Level Mathematics (Syllabus D) 4024

Time, money and using a calculator

The big idea: Time is not a decimal system: there are 60 minutes in an hour, so 3.25 hours is 3 hours 15 minutes. Read every calculator display in context, and round only at the very end.

Summary — What This Chapter Covers
  • Calculate with seconds, minutes, hours, days, weeks, months and years (1 year = 365 days).
  • Use the 24-hour and 12-hour clocks: 3.15 a.m. is 0315 and 3.15 p.m. is 1515.
  • Read clocks and timetables, including time zones and time differences.
  • Calculate with money and convert between currencies.
  • Use a calculator efficiently, enter values correctly and interpret the display (Paper 2).
1. Units of Time and the 24-hour Clock
Syllabus 1.15 · Paper 1 & 2

Sixty, not one hundred

UnitEquivalent
1 minute60 seconds
1 hour60 minutes = 3600 seconds
1 day24 hours = 86 400 seconds
1 week7 days
1 year365 days = 12 months

In the 24-hour clock, times after noon add 12 to the hour: 3.15 a.m. → 0315, 3.15 p.m. → 1515, 12.30 a.m. → 0030.

Worked Example

A night bus leaves at 2140 and arrives at 0615 the next morning. How long is the journey?

Practice Question 1

(a) Write 8.45 p.m. in the 24-hour clock.   (b) Write 0845 in the 12-hour clock.   (c) How many seconds are there in 3 days?

2. Timetables and Time Zones
Syllabus 1.15 · Paper 1 & 2

Add the journey time, then adjust for the clock change

Read a timetable across a row for a stop and down a column for one bus or train. For a flight between time zones, work out the arrival time in the departure city’s time first, then add or subtract the time difference.

StationTrain ATrain B
Central09151140
Riverside09521217
Airport10311256
Worked Example

Use the timetable. Mira arrives at Central at 1050. (a) Which train should she catch to the Airport, and when does it arrive? (b) How long does that train take from Central to the Airport?

Practice Question 2

A flight leaves Dubai at 0225 local time and takes 8 hours 10 minutes. Local time in Lagos is 3 hours behind local time in Dubai. Find the local time in Lagos when the flight lands.

3. Money and Currency Conversion
Syllabus 1.16 · Paper 1 & 2

Multiply one way, divide the other

Give money answers to 2 decimal places ($4.80, not $4.8). With an exchange rate “$1 = 3.67 dirhams”, multiply dollars by 3.67 to get dirhams; divide dirhams by 3.67 to get dollars. A quick check: the currency with more units per dollar should give the bigger number.

Worked Example

Use $1 = 3.67 dirhams. (a) Change $120 to dirhams. (b) Change 450 dirhams to dollars.

Practice Question 3

Lina buys 3 books at $12.75 each and 2 pens at $4.60 each. She pays with a $50 note. How much change does she get?

4. Using a Calculator Efficiently
Syllabus 1.14 · Paper 2 only

Brackets, stored values and one rounding at the end

5. Interpreting the Display
Syllabus 1.14 · Paper 2 only

The context decides what the number means

DisplayContextMeans
4.8money in $$4.80
3.25time in hours3 hours 15 minutes (0.25 × 60 = 15)
2.45 time in hours
−5 any
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