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

12 questions

1. Select the ratios that are equivalent to 5 : 7.
2. Alex and Sofia share some money in the ratio 5 : 7.They share £420 in total.How much does Sofia get?
3. Alex and Sofia share some money in the ratio 5 : 7.Alex gets £420.How much does Sofia get?
4. Alex and Sofia share some money in the ratio 5 : 7.Sofia gets £420.How much did they share in total?
5. Alex and Sofia share some money in the ratio 5 : 7.Sofia gets £420 more than Alex.How much did Alex get?
6. 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?
7. 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?
8. There are only cars or bikes in a car park. If 20% are bikes, what is the ratio of cars : bikes?
9. 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.
10. 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 : 2How many yellow sweets are there?
11. 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?
12. 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 : 2What proportion of the prize money does Andeep get?

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