Measures and Units: Practice Set 2
Measures and Units: Practice Set 2 is a second practice round for 11+ measures, covering conversions between metric units of length, mass and capacity and reading scales, before pushing into compound conversions and mixed-unit calculations.
Method
- Learn the standard metric conversions: 1 km = 1000 m, 1 m = 100 cm, 1 cm = 10 mm, 1 kg = 1000 g, and 1 litre = 1000 ml.
- To convert from a larger unit to a smaller one, multiply by the conversion factor; to convert from a smaller unit to a larger one, divide by it.
- Before adding, subtracting or comparing measurements, convert them all into the same unit first.
- When reading a scale, work out the value of each small division by finding the difference between two labelled marks and dividing by the number of gaps between them.
- For a compound conversion, such as changing a speed from km/h to m/min, convert one part at a time (the distance, then the time) rather than trying to do both at once.
- Check a converted answer is a sensible size, for example a length in millimetres should be a much bigger number than the same length in metres.
Worked example
A plank of wood is 2.4 m long. Priti cuts off a piece 65 cm long. Calculate the length of wood remaining, giving your answer in metres.
- Convert the total length to centimetres: 2.4 x 100 = 240 cm.
- Subtract the length cut off: 240 - 65 = 175 cm.
- Convert the remaining length back to metres: 175 / 100 = 1.75 m.
- Final answer: 1.75 m.
Practice questions
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Q1Convert 3.6 km to metres.Show answer
Answer: 3600 m
Q2Convert 850 g to kilograms.Show answer
Answer: 0.85 kg
Q3A bottle holds 1.5 litres. How many millilitres is this?Show answer
Answer: 1500 ml
Q4Convert 420 mm to centimetres.Show answer
Answer: 42 cm
Q5A ruler's scale has marks at 0 cm and 5 cm, with 5 equal gaps between them. What value does each small gap represent?Show answer
Answer: 1 cm
Q6Add together 1.2 kg and 350 g, giving your answer in kilograms.Show answer
Answer: 1.55 kg
Exam-style questions
Written in the style of a 11+ exam paper, with a full mark scheme.
Convert 2.75 litres to millilitres, showing your working.
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A container holds 4 litres of juice. It is poured equally into 8 identical glasses, then a further 150 ml is poured into just one of the glasses. (a) Calculate how much juice is in each glass before the extra pour. (b) Calculate how much juice is in the glass that received the extra pour, giving your answer in millilitres.
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A cyclist travels 3 km in 12 minutes at a constant speed. Calculate the cyclist's speed in metres per minute.
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Free printable worksheet
Want more practice on paper? Download the measures and units: practice set 2 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 6 of 11+ Maths Workbook 3, the whole course as one free printable PDF.
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