Solve problems involving volume | Maths | Quizalize & Oak National Academy

Starter quiz

Look at the picture. Which jug contains a greater volume of water?

A ✓

B
Look at this bar model. What does the 1 L 500 ml represent?

The 1 L 500 ml represents the whole.

The 1 L 500 ml represents a part of the whole. ✓
Match the calculations with their answers.

180 + 40 =

⇔

220 ✓

190 + 20 =

⇔

210 ✓

60 + 170 =

⇔

230 ✓

50 + 260 =

⇔

310 ✓
Find the total of 2 L 300 ml and 1 L 400 ml.

'3 L 700 ml' ✓
Match the calculations with their answers.

90 - 30 =

⇔

60 ✓

110 - 40 =

⇔

70 ✓

120 - 40 =

⇔

80 ✓

120 - 30 =

⇔

90 ✓
What volume of water is in this jug?

300 ml

600 ml ✓

750 ml

Look at the problem and bar models. Which bar model is an accurate representation of the problem?

A

B ✓
Look at the bar model. Sophia has 230 ml of water in her jug and Jacob has 50 ml water in his cup. What volume of water do they have altogether?

'280 ml' ✓
10 identical cups have an equal volume of water in them. The total amount of water in the cups is 680 ml. What is the volume of water in each cup?

'68 ml' ✓
Look at the bar model. The volume of water in the bottle is half the volume of water in the ten cups. What is the volume of water in the bottle?

'340 ml' ✓
Look at the bar model. How much greater is the volume of water in the bottle (340 ml) when compared to the volume of water in the cup (68 ml)?

272 ml ✓

282 ml

408 ml
A jug holds 10 times more water than a cup. The volume of the water in the jug is 890 ml. What is the volume of water in the cup?

89 ml ✓

880 ml

900 ml

8900 ml

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Visualising and representing problems as bar models (by identifying the parts and whole) helps us to solve problems..
The bar model helps us to understand the structure of the maths and to form a calculation to help solve the problem.
If parts are unequal, we can use additive relationships; if parts are equal, we can use multiplicative relationships.
Number facts can be used when solving problems involving mass.

Children may misidentify the parts or wholes in a problem.

Children should be encouraged to visualise the problem to help them identify the parts and whole.

Bar model - A bar model is a pictorial representation of a problem where bars are used to represent the known and unknown quantities.
Whole - The whole is all of something. It is complete.
Part - A part is some but not all of something. It is an amount or section which, when combined with others, makes up the whole.
Volume - Volume is the amount of space that an object takes up. In this case, the specific amount of liquid in a container. It can be measured in ml.