**Working**

**Questions**

Part 1

Part 1

1) Some sweets are shared between Andy and Barry in the ratio 3 : 5.

a) What fraction of the total sweets does Andy get?

b) What fraction of the total sweets does Barry get?

2) Some cakes are shared between Caroline and David in the ratio 2 : 3.

a) What fraction of all of the cakes does David get?

a) What fraction of all of the cakes does Caroline get?

3) A bag contains some balls that are three different colours; red, green and orange. The number of red balls to the number of green balls to the number of orange balls is 2 : 5 : 3.

a) What fraction of all of the balls are green?

b) What fraction of all of the balls are orange?

c) What fraction of all of the balls are red?

4) Year 11 at a school contains 300 pupils. The ratio of boys to girls is 3 : 1.

What fraction of the year are girls?

5) A box of chocolates contains 3 different types of chocolate; milk, dark and white. The ratio of milk chocolates to dark chocolates to white chocolates is 4 : 5 : 3.

a) What fraction of all of the chocolates are white?

b) What fraction of all of the chocolates are milk?

c) What fraction of all of the chocolates are dark?

**Part 2**

1) The ratio of A to B is 5 : 6. Find the following fractions (your answers can be left as improper fractions):

a) A as a fraction of the total

b) B as a fraction of the total

c) A as a fraction of B

d) B as a fraction of A

2) The ratio of C to D is 2 : 5. Find the following fractions (your answers can be left as improper fractions):

a) D as a fraction of C

b) C as a fraction of the total

c) D as a fraction of the total

d) C as a fraction of D

3) 330 sweets are shared between John and Calvin in the ratio 2 : 9.

a) What fraction of the 330 sweets does Calvin get?

b) Write down the number of sweets that John gets as a fraction of the number of sweets that Calvin gets.

c) Write down the number of sweets that Calvin gets as a fraction of the number of sweets that John gets.

d) What fraction of the 330 sweets does John get