Convert, calculate and give the requested unit

Primary 3 Length, Mass and Volume study guide: the whole chapter, step by step

About this subtopic

The idea in brief. Calculate in a common unit, then express the result in the unit the question requests. Put quantities in the same unit before calculating, then return to the unit requested. In the lesson. In the last lesson, you changed measurements in two units into the smaller unit, and back again. Today, we will change to one unit before we calculate, then give the unit the question asks for. Change to the same unit before you add or subtract. Then give the answer in the unit the question asks for.

Lesson video, with the working

Adding and subtracting in two units

5 min 24 s

The film teaches 3 questions in turn. Each question shows first; its working is written as the film explains it.

Watch on its own page

Today's question

Amara has 1 ℓ 300 ml of orange juice in a jug. She pours in 900 ml more. How much juice is in the jug now? Give your answer in litres and millilitres.

  1. 1 ℓ 300 ml = 1300 ml
  2. 1300 ml + 900 ml = 2200 ml
  3. 2200 ml = 2000 ml + 200 ml
  4. = 2 ℓ 200 ml

Ans: 2 ℓ 200 ml

Example 1 of 2

A bag of rice has a mass of 3 kg. Amara's mother uses 400 g of the rice. What is the mass of the rice left? Give your answer in kilograms and grams.

  1. 3 kg = 3000 g
  2. 3000 g − 400 g = 2600 g
  3. 2600 g = 2000 g + 600 g
  4. = 2 kg 600 g

Ans: 2 kg 600 g

Example 2 of 2

Siti walks 1 km 200 m to the park. Then she walks 650 m to the library. How far does she walk altogether? Give your answer in metres.

  1. 1 km 200 m = 1200 m
  2. 1200 m + 650 m = 1850 m

Ans: 1850 m

How to solve it
  1. Change both amounts to the same unit. 1 litre 300 millilitres is 1300 millilitres.
  2. Add or subtract in that one unit: 1300 plus 900 is 2200 millilitres.
  3. Look at the unit the question asks for.
  4. If it asks for two units, change back: 2200 millilitres is 2000 plus 200, so 2 litres 200 millilitres.
  5. If it asks for one unit, such as metres, do not change it back: 1850 metres.

Change to the same unit before you add or subtract. Then give the answer in the unit the question asks for.

Practice questions with worked solutions

Question 1 is free to try. The other 7 open in the free trial, each with its solution film.

Basic

Intermediate

Challenge

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7 more questions, each with its solution film.Answers checked, progress kept, wrong ones come back in revision. No card needed.

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Question 1 of 8 · Basic · free to tryTwo lengths of fabric, 1 m 35 cm and 80 cm, are joined without overlapping…Two lengths of fabric, 1 m 35 cm…

Two lengths of fabric, 1 m 35 cm and 80 cm, are joined without overlapping to make a banner. What is the banner’s length in metres and centimetres?

Show the working and the answer

Video solution · 1 min 45 s

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Working

  1. 1 m 35 cm = 100 cm + 35 cm
  2. = 135 cm
  3. Banner length = 135 + 80 = 215 cm
  4. 215 cm = 200 cm + 15 cm
  5. = 2 m 15 cm
  6. Ans: 2 m 15 cm

Answer: 2 m 15 cm

For parents

How do you solve length, mass and volume word problems in P3?

This page teaches word problems where measurements must be put into the same unit before adding or subtracting, and the answer is then given in the unit the question asks for.

What your child learns here

This page teaches word problems where measurements must be put into the same unit before adding or subtracting, and the answer is then given in the unit the question asks for. It applies the P3 outcomes on compound units and on converting between them to one-step and two-step problems.

  • Change both measurements to the same unit, usually the smaller one, before calculating.
  • Add or subtract in that one unit, such as millilitres or grams.
  • Read the question again and give the answer in the unit it asks for, in one unit or two.
  • Solve two-step problems, for example finding the total of several equal lengths before subtracting it from a roll.
  • Work backwards: the starting amount is the part used plus the part left.
Does the answer make sense?

Your child's answer must come in the unit the question names, and in a two-unit answer the smaller part stays under one big unit. What remains after cutting or using must be less than what was there, and an amount at first must be more than what is left.

How to practise these questions

The Basic questions practise converting to one unit before adding or subtracting. The Intermediate questions add multi-step stories with length, mass or volume. The Challenge questions ask for the answer in a particular unit, so your child converts at the end as well as the start. When a measurement story stalls, play its solution film and come back to it later from Revision.

Questions parents ask

Why does my child have to change units before adding? Only amounts in the same unit can be added or subtracted directly, in the same way that dollars are added to dollars. Changing both to the smaller unit first keeps the working in one unit throughout.

Are measurement word problems in the Primary 3 syllabus? The Primary 3 syllabus covers measuring in compound units and converting between the larger and smaller unit. The word problems on this page apply those outcomes with adding and subtracting.

Which unit should my child convert to before calculating? Usually the smaller unit, such as grams or millilitres, because then there are only whole numbers to work with. After calculating, your child converts back if the question asks for two units.