Ratio language and notation | Maths | Quizalize & Oak National Academy

Starter quiz

Why do we use symbols and notation in mathematics?
- They are easier to read and understand. ✓
- They are concise and take up less space. ✓
- They are pretty.
- They can be used to represent complex concepts. ✓
- It allows mathematical ideas to be communicated more effectively than words. ✓
Which of the following is equivalent to "For every 3 circles, there are 4 squares."?
A number and its reciprocal will always have a product of ______.
- '1' ✓
For every 5 ml of orange concentrate, use 100 ml of water. What is the multiplier for orange to water?
- '20' ✓
For every 5 ml of orange concentrate, use 100 ml of water. To make 420 ml of squash, how much concentrate do you need?
- '20' ✓
For every 2 cups of flour, there are 3 cups of water. If there are 13.5 cups of water, how many cups of flour are there?
- '9' ✓

Match the equivalent ratios.
- 3 : 4
  
  ⇔
  
  6 : 8 ✓
- 5 : 4
  
  ⇔
  
  25 : 20 ✓
- 6 : 5
  
  ⇔
  
  12 : 10 ✓
- 3 : 2
  
  ⇔
  
  9 : 6 ✓
- 2 : 3
  
  ⇔
  
  12 : 18 ✓
There are __________ equivalent ratios.
- only 1000
- an infinite number of ✓
- a finite number of
- a million
Match the ratio tables to the correct simplified ratio notation.
- a)
  
  ⇔
  
  2 : 3 ✓
- b)
  
  ⇔
  
  1 : 2 ✓
- c)
  
  ⇔
  
  1 : 1 ✓
- d)
  
  ⇔
  
  5 : 9 ✓
- e)
  
  ⇔
  
  15 : 5 ✓
In a bag there are only triangles and squares. The ratio of triangles to squares is 4 : 1. There are 40 shapes in total. Who correctly worked out the number of squares?
- Alex "40 triangles, so there are 10 squares because of the ratio is 4:1"
- Laura "160 triangles, so there are 40 squares because of the ratio is 4:1"
- Sofia "32 triangles, so there are 8 squares because of the ratio is 4:1" ✓
- Andeep "30 triangles, so there are 10 squares because of the ratio is 4:1"
- Jun "24 triangles, so there are 16 squares because of the ratio is 4:1"
The chocolates in a box either have red or blue wrappers. The ratio of red to blue is 3 : 4. If the difference between the red and blue chocolates is 5, how many chocolates are in the box?
- '35' ✓
The chocolates in a box either have red or blue wrappers. The ratio of red to blue is 2 : 1. Andeep eats 3 blue chocolates and now the ratio is 12 : 5. How many blue were originally in the box?
- '18' ✓

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A ratio table is a representation of a multiplicative relationship.
A ratio has two numbers, connected by a multiplicative relationship.
These two numbers together represent a whole.
The total of the two numbers tell us how many equal parts the whole is split into.
Ratio notation is a more efficient way to express the relationship between the numbers.

To find one part, some students simply divide the amount by the sum of the 'parts' of the ratio.

Strengthen understanding of which amount represents which part of the ratio. Matching problems to bar models helps.

Proportionality - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.
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.