Word Problems - Fractions

This homework is due Friday 17th of October. 

L.G.: To solve word problems involving fractions.

1. There are 24 hours in a day and scientists tell us that we should sleep for ⅜ of the day. How much time should we spend sleeping?

  2. The National History Museum has collected 125 dinosaurs. George has collected ³/₅ of this amount. How many dinosaurs has George collected?

   

3. Mr. Usher is 184cm tall and his sister Sarah is ⅝ as tall as him. How tall is Sarah?

  4. The weather forecaster says that it is 200° C in London but only ⁷/₁₀ as hot in New York. How hot is it in New York?

    

5. Skateboards cost £36 each in my local store. The shopkeeper says if I buy one I can buy another for only ⁷/₉ of the normal price.

How much would two skateboards cost?

  6. Billy collected 256 conkers on Monday and 124 on Tuesday but lost ¾ of the total on his way to school on Wednesday through a hole in his bag. When he arrived at school how many conkers did Billy have left?

   

7. There are 25 pupils in the class, ³/₅ of the pupils support Chelsea, ¹/₅ support Hull, the remainder support Arsenal. How many pupils support each team?

   

8. The local shop normally sells Mars bars for 40 pence. The shopkeeper says if I buy 3 I can have them for ¼ less than the normal price.

(i) How much can I buy 3 Mars bars for?

(ii) How much does each Mars bar cost?

   

9. Last year, Mr. Usher weighed 60 kg. This year he weighs ²/₅ more. How much does Mr Usher weigh this year?

 10. McDonalds sell milkshakes in two sizes. A small milkshake contains 300ml and a large milkshake contains ²/₃ more.

(i) How much does a large milkshake contain?

(ii) If Mr. Usher drinks ²/₃ of a small milkshake and Ms Kahlon ¹/₂ of a large milkshake who drinks the most?