Starter quiz
- Select the options that show a ratio written in its simplest form.
- 0.25
- 3 : 4 ✓
- 12 : 15
- 18 : 13 ✓
- 18 : 15
-
- Write the single multiplier which connects the two numbers shown. Give your answer as a decimal.
- '0.6' ✓
- Match up the equivalent ratios.
- 2 : 5⇔40 : 100 ✓
- 4 : 1⇔20 : 5 ✓
- 6 : 7⇔30 : 35 ✓
- 15 : 6⇔100 : 40 ✓
- 2 : 3⇔30 : 45 ✓
- Find the correct value to complete the ratio table.
- '25' ✓
- Match each of the letters to the number they represent in this ratio table.
- a⇔4 ✓
- b⇔✓
- c⇔✓
- d⇔✓
- Alex and Sam share £24 in the ratio 3 : 5 How much does Alex get?
- '£9' ✓
Exit quiz
- Select the ratios that are equivalent to 3 : 8.
- 8 : 3
- 6 : 16 ✓
- 7.5 : 20 ✓
- 4 : 9
- 30 : 80 : 10
-
- Alex and Sofia share some money in the ratio 3 : 5. They share £360 in total. How much does Alex get?
- £135 ✓
- £225
- £45
- £120
-
- Alex and Sofia share some money in the ratio 3 : 5. Alex gets £360. How much does Sofia get?
- £600 ✓
- £135
- £225
- £216
-
- Alex and Sofia share some money in the ratio 3 : 5. Sofia gets £360. How much did they share in total?
- £576 ✓
- £960
- £360
- £225
- £135
-
- Alex and Sofia share some money in the ratio 3 : 5. Sofia gets £360 more than Alex. How much did Alex get?
- £540 ✓
- £135
- £216
- £900
-
- Izzy, Laura and Jun share some money in the ratio of 3 : 2 : 7. Jun gets £60 more than Izzy. How much does Laura receive?
- £30 ✓
- £10
- £120
- £24
-
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Bar models can help to represent a situation.
- It is important that the parts are equal, otherwise the ratio is not represented correctly.
- A ratio table can also be used to help show the multiplicative relationship.
- Both representations help to expose the structure.
- Once the structure is understood, the representations will not be needed.
Common misconception
Procedural understanding of sharing in a ratio where pupils add the parts, divide the amount by this and then multiply by each part without considering the information in the question.
In the lesson encourage pupils to look for keywords in the question which indicate if the amount given is the total, one part or the difference. The use of a bar model to display the information can also be used to help pupils.
Keywords
Ratio - A ratio shows the relative sizes of two or more values and allows you to compare a part with another part in a whole
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