Solve problems involving scaling and ratio | Maths | Quizalize & Oak National Academy

Starter quiz

$7 \times 5 =$

'35' ✓
How many 7s are there in 63?

'9' ✓
Which equations represent the question 'How many 7s are there in 63'?

$7 \times 63 = 441$

$7 \times ? = 63$ ✓

$63 \div 7 = ?$ ✓

$7 \div 63 = ?$
What is one half times the size of 28?

'14' ✓
How long is this room in real life?

'4 m' ✓
Which equation represents the length of the room in real life?

$1 \times 8 = 8$

$1 \times 2 = 2$

$1 \times 4 = 4$ ✓

Sam is making lemonade. They use one part lemon for every 3 parts water. Which bar models represent Sam's lemonade?
Which lemonade will be the strongest in lemon flavour?
Sam is making lemonade. They use one part lemon for every 3 parts water. If they use 15 parts of water, how many parts of lemon will they need?

3 parts lemon

4 parts lemon

5 parts lemon ✓

13 parts lemon
A necklace has 2 patterned beads for every 3 plain beads. There are 12 patterned beads. How many plain beads will there be?

'18' ✓
A necklace has 2 patterned beads for every 3 plain beads. There are 12 plain beads. How many patterned beads will there be?

'8' ✓
A necklace has 2 patterned beads for every 3 plain beads. There are 40 beads in the whole necklace. How many patterned beads will there be?

12

14

16 ✓

18

20

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Not identifying whether they are scaling up a part or the whole amount and how this is represented.

Ask if it is a part or the whole that you are being asked to work out and articulating where this is in the representation or ratio table.

Scaling - Scaling is the operation of changing one value to another using multiplication or division, using the same factor or divisor
Double number line - A double number line is used to show the relationship between two values, in this case, the distances on the plan and those in real life