Equivalent multiplicative relationships | Maths | Quizalize & Oak National Academy

Starter quiz

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

multiplicatives

variables ✓

additives

constants
Match the equivalent fractions.

$\frac{2}{3}$

⇔

$\frac{6}{9}$ ✓

$\frac{3}{5}$

⇔

$\frac{9}{15}$ ✓

$\frac{5}{7}$

⇔

$\frac{15}{21}$ ✓

$\frac{1}{2}$

⇔

$\frac{3}{6}$ ✓
For every 2 apples, there are 5 bananas. If there are 10 apples, how many bananas are there?

'25' ✓
For every 2 apples, there are 9 bananas. If there are 33 pieces of fruit in total, how many bananas are there?

30

22

11

27 ✓
Packs of fruit are in the ratio of 2 apples to 3 pears to 5 bananas. When there are 27 pears, how many apples and bananas are needs to make as many packs of fruit as possible?

12 apples and 20 bananas

19 apples and 29 bananas

18 apples and 45 bananas ✓

20 apples and 30 bananas
Packs of fruit are in the ratio of 2 apples to 3 pears to 5 bananas. When there are 48 pears, how many apples and bananas are needs to make as many packs of fruit as possible?

18 apples and 23 bananas

33 apples and 83 bananas

32 apples and 80 bananas ✓

40 apples and 80 bananas

How many equivalent ratios are there to "For every 1 apple, there are 2 bananas."?

24

16

1

infinite ✓

1000
Select the equivalent ratios to "For every 10 stars, there are 2 moons."

For every 5 stars, there is 1 moon. ✓

For every 20 stars, there are 4 moons. ✓

For every 25 stars, there are 5 moons. ✓

For every 2 stars, there are 0.1 moons.

For every 8 stars, there are 4 moons.
What is the equivalent ratio for this?

For every 1 pair of shorts, there are 3 t-shirts.

For every 1 t-shirt, there are 3 pairs of shorts. ✓

For every 5 t-shirts, there are 15 pairs of shorts. ✓

For every 4 t-shirts, there are 5 pairs of shorts.
What is the ratio of shaded to not shaded?

For every 9 shaded, there are 16 not shaded. ✓

For every 3 shaded, there are 2 not shaded.

For every 2 shaded, there are 3 not shaded.

For every 1 shaded, there is 1 not shaded.
What is the ratio of shaded to not shaded?

For every 10 shaded, there are 15 not shaded. ✓

For every 2 shaded, there are 5 not shaded.

For every 2 shaded, there are 3 not shaded. ✓

For every 3 shaded, there are 2 not shaded.
Three pieces of wood are cut so that length of piece A × 3 = length of piece B, length of piece B × 2 = length of piece C. Find the length of piece C in cm if the total length of all 3 pieces is 65 cm

'40' ✓

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There is a multiplicative relationship between the ratio parts, and other equivalent ratios.
Ratios can be expressed as fractions.
There are infinitely many equivalent fractions.
There are infinitely many equivalent ratios.

Using multiplication as repeated addition leads to incorrect additive strategies of ratios.

Focus on the multiplicative relationships between parts to whole or whole to parts. Ratio tables can help see this more easily.

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