Checking and securing understanding of converting between ratios, percentages and fractions | Maths

Starter quiz

Select the ratios that are equivalent to 5 : 7.

7 : 5

6 : 8

12.5 : 17.5 ✓

15 : 21 ✓
Alex and Sofia share some money in the ratio 5 : 7. They share £420 in total. How much does Sofia get?

£245 ✓

£175

£60

£588
Alex and Sofia share some money in the ratio 5 : 7. Alex gets £420. How much does Sofia get?

£588 ✓

£245

£175

£300
Alex and Sofia share some money in the ratio 5 : 7. Sofia gets £420. How much did they share in total?

£720 ✓

£588

£245

£175
Alex and Sofia share some money in the ratio 5 : 7. Sofia gets £420 more than Alex. How much did Alex get?

£1050 ✓

£1470

£720

£175
Izzy, Laura and Jun share some money in the ratio of 7 : 3 : 2. Jun gets £60 less than Laura. How much does Izzy receive?

£420 ✓

£105

£35

£300

There are only red and green sweets in a bag. If the ratio of red to green is 2 : 5 what fraction of the sweets in the bag are red?

$\frac{2}{5}$ ✓

$\frac{2}{7}$

$\frac{5}{7}$

$\frac{3}{4}$
There are only cars or bikes in a car park. If 20% are bikes, what is the ratio of cars : bikes?

1 : 4

20 : 100

1 : 5

4 : 1 ✓

5 : 1
There are only red, yellow and green marbles in a bag. If $\frac{1}{2}$ are red, $\frac{1}{6}$ are yellow, write the ratio of red to yellow to green marbles.

'3 : 1 : 2' ✓
A bag of sweets contains red, yellow and green sweets. There are 180 sweets in the bag. 25% of them are red. The rest are yellow and green in the ratio 7 : 2 How many yellow sweets are there?

'105' ✓
Laura and Sofia share some money in the ratio 3 : 5 Laura gives $\frac{2}{5}$ of her money to Jacob. If Jacob gets £24, how much does Sofia get?

'100' ✓
Jacob, Andeep and Lucas receive some money. Jacob gets $\frac{3}{5}$ of the money. Andeep and Lucas share the rest in the ratio 5 : 2 What proportion of the prize money does Andeep get?

$\frac{2}{5}$

$\frac{5}{7}$

$\frac{10}{35}$ ✓

$\frac{15}{35}$

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Converting a ratio e.g. 1 : 3 to 1/3 as a fraction.

Drawing out simple ratios using bars can help pupils to see how fractions can correctly be obtained from a given ratio.

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