Use multiplication and division to calculate unknown values in ratio problems | Maths

Starter quiz

What is 8 times as many as 5?
- '40' ✓
How many 8s are there in 24?
- '3' ✓
How many times greater than 3 is 27?
- 24
- 3
- 6
- 9 ✓
- 10
Which phrases describe the quiz team in this image
- For every 2 chidlren there are 3 adults
- For every 3 adults there are 3 children
- For every 3 children there are 4 adults
- For every 4 children there are 3 adults ✓
- For every 3 adults there are 4 children ✓
Each quiz team is made up of 3 adults and 4 children. If there are 35 people taking part, which equation represents how many of them are adults?
- $3 + 35 = 38$
- $4 \times 5 = 20$
- $3 \times 5 = 15$ ✓
- $3 \times 7 = 21$
Each quiz team is made up of 3 adults and 4 children. If there are 5 teams taking part, how many children will there be in total?
- 7
- 15
- 20 ✓
- 32
- 31

A quiz team is made up of 2 adults and 3 children. How many quiz teams does this image represent?
- 2
- 3
- 4 ✓
- 5
How many children are represented in this image?
- 3
- 4
- 9
- 12 ✓
How many adults are represented in this image?
- 2
- 8 ✓
- 4
- 6
How many people in total are represented in this image?
- 5
- 16
- 25
- 20 ✓
$What does the 5 in this equation represent in the image? <Math>5 \times 4 = 20</Math>$

What does the 5 in this equation represent in the image? $5 \times 4 = 20$
- The number of children
- The number of adults
- The number of people in one team ✓
- The number of people doing the quiz altogether
- The number of teams taking part
$What does the 4 in this equation represent in the image? <Math>5 \times 4 = 20</Math>$

What does the 4 in this equation represent in the image? $5 \times 4 = 20$
- The number of children
- The number of adults
- The number of people in one team
- The number of people doing the quiz altogether
- The number of teams taking part ✓

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Seeing multiplication and division as inverse operations e.g. dividing by 2 and multiplying by half.

Encourage pupils to express the relationships between values using both multiplication and division.

Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole
For every - For every allows you to talk about the relative sizes of the values e.g. for every 2 squares there is 1 triangle