Starter quiz
- What is the ratio of triangles to circles in its simplest form?
- 4 : 3 ✓
- 8 : 6
- 3 : 4
- 6 : 8
- 2 : 1.5
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- Select the ratio of shaded to unshaded squares written in its simplest form.
- 1 : 3 ✓
- 1 : 4
- 3 : 9
- 3 : 1
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- Write the ratio 18 : 12 in its simplest form
- '3 : 2' ✓
- Which of these are unitary ratios?
- 0.1 : 11
- 13 : 1 ✓
- 1.5 : 1 ✓
- 1 : 8 : 4 ✓
- 11 : 5
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- Write the ratio of triangles to circles in the form where is a decimal.
- '1 : 0.75' ✓
- A recipe uses 240 g of flour and 3 eggs. Write the ratio of number of eggs : grams flour in the form 1 :
- '1 : 80' ✓
Exit quiz
- Equivalent ratios are ratios which represent the same ______
- 'proportion' ✓
- Write the single multiplier which connects the two numbers shown. Give your answer as a decimal.
- '1.25' ✓
- Find the correct value to complete the ratio table.
- '6' ✓
- Match up the equivalent ratios.
- 3 : 4⇔15 : 20 ✓
- 12 : 18⇔30 : 45 ✓
- 4 : 3⇔40 : 30 ✓
- 8 : 10⇔20 : 25 ✓
- 5 : 3⇔25 : 15 ✓
- Match each of the letters to the number they represent in this ratio table.
- a⇔✓
- b⇔✓
- c⇔✓
- d⇔✓
- Select the ratio which is not equivalent to 1 : 5
- 11 : 55
- 12 : 60
- 60 : 300
- 80 : 320 ✓
- 90 : 450
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Worksheet
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Lesson Details
Key learning points
- A multiplicative relationship is a proportional relationship.
- This multiplier can be thought of as a scaling factor.
- The multiplier can be deduced through unitising.
- Any value divided by itself is equal to one.
- One is the multiplicative identity.
Common misconception
Finding the additive relationship between two numbers instead of the multiplicative one.
When dealing with any proportional relationships, such as ratios, pupils should be reminded to look for the multiplicative relationship. Using 1 as a middle step can help. e.g. to connect 5 and 8, divide by 5 to make 1 and then multiply by 8.
Keywords
Reciprocal - A reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1
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