Checking understanding of multiplicative relationships | Maths

Starter quiz

______ is a part to whole (sometimes part to part) comparison.

Proportion ✓

Lowest common multiple

Highest common factor

Additive inverse

Multiplication
10% of 500 is ______.

'50' ✓
10% of 800 is ______

'80' ✓
10% of £45 is £______

'4.50' ✓
Starting with largest, put these percentage calculations in descending order.

1

⇔

10% of 250

2

⇔

20% of 90

3

⇔

20% of 80

4

⇔

10% of 100
Starting with the largest, put these percentage calculations in descending order.

1

⇔

15% of 200

2

⇔

30% of 90

3

⇔

50% of 50

4

⇔

80% of 20

5

⇔

100% of 10

Select the different ways in which proportions can be represented.

percentages ✓

decimals ✓

fractions ✓

ratios ✓

lowest common multiple
What is 300 % of 0? ______.

'0' ✓
Match each proportion with the correct statement.

$\frac{7}{10}$ were correct

⇔

In test A, Laura gest 14 out of 20 correct ✓

$\frac{1}{2}$ were correct

⇔

In Test B, Sofia gets 35 out of 70 correct. ✓

$\frac{4}{5}$ were correct

⇔

In Test C, Jacob go 4 out of 5 correct. ✓

$\frac{13}{25}$ were correct

⇔

In Test D, Lucas got 104 out of 200 correct. ✓
An Oak teacher is paid £4000 per month and gets a 15% pay rise. A part time Oak teacher gets £800 per month and receives a £96 pay rise. Are the pay rises the same? Select the correct statement.

Yes, both pay rises are 15%

No, the part time Oak teacher receives a higher pay rise.

No, the Oak teacher receives a higher pay rise than the part time teacher. ✓

There is not enough information to determine if they receive the same pay rise.
Match each description to the correct statement.

A receives more than B

⇔

A receives 10% of £80 and B receives 50% of £14 ✓

B receives more than A

⇔

A receives 35% of £90 and B receives 30% of £120 ✓

A receives the same as B

⇔

A receives 15% of £400 and B receives 80% of £75 ✓

Not enough information

⇔

A receives 85% and B receives 90% ✓
A 10% reduction of a 20% reduction of £200 is £______.

'144' ✓

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A smaller percentage of one number can be greater than a larger percentage of a different number.
Proportionality offers another way to compare values.
One way, in isolation, does not give a full picture.

Pupils only see the amount, not proportion. e.g £30 from £100 is no different to £30 from £60.

Referring to the whole using bar models or fractions can emphasise the amount with respect to the whole.

Proportionality - Variables are in proportion if they have a constant multiplicative relationship.