P5 Problem Sums

P5 Problem Sums


1. Jane, Alice and Peter had a sum of money. After Jane spent ¼ of her money, Alice spent $80 of hers and Peter spent ½ of his money, they had an equal amount of money left. If they had a total of $1008 in the end, how much did each of them have at first?

2. There were 1518 boys and girls in a room. When 2/3 of the boys and 1/5 of the girls left the room, there were twice as many girls as boys remaining in the room.
(a) How many girls were there at first?
(b) How many boys were there at first?

3. Cleo wanted to buy 16 similar shirts but she was $8 short. If she had bought 7 such shirts instead, she would have $19 left.
(a) What was the cost of 2 such shirts?
(b) How much money did Cleo have?

4. Mrs Baker bought some flour. She used ¼ of it to bake 16 cherry pies and packed the rest equally into 9 bags. There were 250g more flour in 2 similar bags than what was used for a cherry pie. If all the flour was packed into 25 bags instead, how much flour would there be in each bag? (sorry, please change 16 cherry pies to 15 and 250g to 270g.)

5. Half of a number is 90 more than a fifth of the number. What is the number?

6. Tom is nine years younger than Gary who is 13 years old. How many years later will Tom be of half Gary’s age?

7. Sally and Sandy have a total age of 45. Sally is 15 years older than Sandy. What was their total age when Sandy was half as old as Sally?

8. Eugene is 15 years old. His sister is 3/5 of his age. His sister is 3/11 of their mother’s age.
(a) How much older is Eugene’s mother than Eugene?
(b) In how many years’ time will Eugene’s mother be twice his age?

9. Juliana and Patrick had some marbles. If Juliana gave Patrick 20 marbles, both of them would have an equal number of marbles. If Patrick gave Juliana 20 marbles, Juliana would have 3 times as many marbles as Patrick. Find the number of marbles that each of them had.

10. James is 8 years old. Last year, his father was four times as old as he was. In how many years’ will their combined age be 51?

11. A bag costs $24.50. the total cost of 2 bags and a wallet is $85. What is the total cost of 3 bags and 3 wallets?

12. Aaron bought 2 similar books and 3 similar rulers for $40.30. Sharon bought 3 such books and 5 such rulers for $61. What was the total cost of a book and a ruler?