Measurement, Money and Time Depth
Measurement, Money and Time Depth combines the three linked topics of measures, money and time into single, harder multi-step problems, such as calculating cost over a period of time, converting units before applying a price, and solving timetable or duration questions that also involve money. It builds directly on separate work on money problems, timetables and units of measurement.
Before you start
Make sure you're comfortable with these topics first:
Method
- Identify every unit in the question (money, length, weight, capacity, time) and check they are consistent before calculating, converting any mismatched units first.
- For 'cost per time' problems, find the rate for a single unit of time first, before scaling up or down to the amount needed.
- For measurement-to-money problems, convert the measurement to the same unit as the price is quoted in, such as grams to kilograms, before multiplying.
- Break multi-step questions into a numbered list of mini-calculations and complete them strictly in order, since later steps often depend on earlier ones.
- Watch for hidden unit traps, such as a price given per 100g being applied to an amount given in kilograms.
- Sense-check the final answer against the size of the numbers in the question; an answer of many thousands of pounds for a small shopping trip signals an error.
Worked example
A market stall sells apples at 2 pounds 40 for a kilogram. Priya buys 750 grams of apples. She pays with a 5 pound note. How much change does she receive?
- Convert 750 grams to kilograms: 750 / 1000 = 0.75 kg.
- Work in pence to avoid decimals: 2 pounds 40 is 240 pence per kilogram.
- Multiply the cost per kg by the fraction bought: 240 x 0.75 = 180 pence, so the apples cost 1 pound 80.
- Subtract the cost from the 5 pound note: 500 - 180 = 320 pence.
- Final answer: Priya receives 3 pounds 20 change.
Practice questions
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Q1A parking meter charges 60p for every 15 minutes. How much does 1 hour of parking cost?Show answer
Answer: 2 pounds 40 (1 hour is 4 lots of 15 minutes, so 4 x 60p)
Q2Convert 2.5 kilograms to grams.Show answer
Answer: 2,500 g
Q3A ribbon 3 metres long is cut into pieces 25cm long. How many pieces can be cut?Show answer
Answer: 12 pieces (300cm / 25cm)
Q4A train journey starts at 09:45 and takes 1 hour 50 minutes. What time does it arrive?Show answer
Answer: 11:35
Q5Milk costs 90p per litre. How much does 1.5 litres cost?Show answer
Answer: 1 pound 35 (90 x 1.5 = 135p)
Q6A cinema ticket costs 6 pounds 50. A group of 4 friends buys tickets. What is the total cost?Show answer
Answer: 26 pounds
Exam-style questions
Written in the style of a 11+ exam paper, with a full mark scheme.
A bag of flour weighs 1.5 kg and costs 2 pounds 10. A recipe needs 600g of flour. What is the cost of the flour needed for the recipe?
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A bus leaves the depot at 08:20 and travels for 45 minutes to reach the town centre. It then waits 15 minutes before beginning a return journey that takes 55 minutes. At what time does the bus arrive back at the depot? Give your reasoning.
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Free printable worksheet
Want more practice on paper? Download the measurement, money and time depth worksheet pack - 11 pages of exam-style questions with a full mark scheme. One email opens every download in this browser for 14 days - no account, no card. Print it for personal and classroom use.
This topic is chapter 7 of 11+ Maths Workbook 3, the whole course as one free printable PDF.
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