Representing a multiplicative relationship | Maths | Quizalize & Oak National Academy

Starter quiz

Which of the following show this ratio or an equivalent ratio?

For every 1 star, there are 3 hearts. ✓

$\frac{1}{4}$ are stars ✓

For every 3 star, there are 9 hearts. ✓

For every 3 stars, there is 1 heart.

$\frac{1}{3}$ are stars
A __________ shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.

ratio ✓

additive inverse

postive integer

multiplier
Identify the equivalent ratios.

a) and b)

a) and c)

a), b) and c)

All are equivalent.

a), b) and d) ✓
The table shows the proportion of red to green. Which of these also correctly describe this proportion?

For every 2 reds, there are 5 greens. ✓

For every 5 reds, there are 2 greens.

Red(s) $\times\frac{5}{2}=$ Green(s) ✓

Red(s) $\times\frac{2}{5}=$ Green(s)
For every 2 As there are 5 Bs. If there are 35 letters in total, how many Bs are there?

'25' ✓
For every 12 As there are 4 Bs. If there are 4 letters in total, how many Bs are there?

'1' ✓

Which shows the ratio "For every 2 rabbits (R), there is 1 carrot(C)" ?

a)

b)

c) ✓

None of them
Select the correct statement for drawing double number lines.

Each line should be parallel. ✓

Chosen interval should be equally spaced. ✓

Each number on each interval increases by 1.

Numbers can be placed anywhere on the line.
Using the double number line, identify the correct ratio.

For every £1, there are 315₹

For every £315, there is 1₹

For every £2, there are 315₹

For every £3, there are 315₹ ✓
Here is a double number line. Which of the following are equivalent to this double number line?

For every 20 As there are 16 Bs. ✓

For every 10 As there are 8 Bs. ✓

For every 16 As there are 20 Bs.

For every 8 As there are 10 Bs.

For every 5 As there are 4 Bs. ✓
Match the graph with the proportion it represents.

a)

⇔

For every $x$ , there is 1 $y$ ✓

b)

⇔

For every 6 $x$ s, there are 21 $y$ s ✓

c)

⇔

For every 6 $x$ s, there are 42 $y$ s ✓

d)

⇔

For every 6 $x$ s, there are 9 $y$ s ✓
Which of the double number lines are equivalent to the graph?

a)

b)

c)

d)

None of the double number lines ✓

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Both lines of a double number line must start at zero and these zeros must be aligned.

When drawing double number lines, ensure to align the zeros and the known equivalents. Showing how a graph is formed from a DNL can help.

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.