Fractions
All the children in Alveare have been working on fractions. Some children have made pizzas, some have divided scarves into fractions creating beautiful patterns and some have been writing their own maths problems.
Here are some examples of the problems the children came up with.
This is the original problem.
After the children had worked out the problem they then posed their own problems to each other. They would like to challenge you to try some of them.
Good luck!!
Day 1 - A monkey had 100 apples. He gave away 1/2 and then ate 2.
Day 2 - He swang from tree to tree and got four more. Then he ate 2.
Day 3 - He gave away 1/5 then ate 1.
Day 4 - He gave away 1/2.
Day 5 - He gave away 1/2 then he ate one.
Day 6 - Then he gave away 2/5.
Day 7 - Then the ate 4/5.
How many left?
By Ed and Chris
In your bank account you have $700.
On Monday you drop 1/2 of it.
On Tuesday you drop 1/7 of it.
On Wednesday you drop 1/5 of it.
On Thursday you drop 1/2 of it.
On Friday you drop 1/5 of it.
On Saturday you drop 1/2 of it.
On Sunday you drop 1/6 of it.
On Monday you drop 1/2 of it.
How much is left?
By Oliver
In your bank account you have $100.
A robber steels half of your money.
It is tax time the government takes 10% of your money.
You go to the cinema you spend 2/3 of your money.
You take a taxi ride to a friend and spend 2/3 of your money.
You do a favour for a friend he borrows 4/5 of your money.
How much do you have left?
By Ace and Sam D
A little bunny had 86 carrots.
On the first day he gave away half and ate one.
On the second day he gave 2/6 to a kitten and kept the rest
On the third day he eats 1/4.
Then he eats 4/7 followed by 2/3.
On the last day he eats 2/3.
How many are left?
Charlotte, Grace, Lila T
An elephant had 36 peanuts.
On the first day he decided to keep 4/9 of his peanuts.
On the second day he decided to keep 5/8.
On the third day he decided to keep half of his peanuts.
On the fourth day he decided to keep 3/5 of his peanuts.
On the fifth day he decided to keep 1/3 of his peanuts.
How many were left?
Rowdy
A tiger had 30 cubs
On the first day she decided to keep 4/6 of his cubs then she gave the rest away.
On the second day she decided to keep 4/10 then she gave away the rest.
On the third day he decided to keep half then gave the rest away.
On the fourth day he decided to keep 1/4 then gave the rest away.
How many were left?
Lydia and Lilyan
A little boy had 50 chocolate bars.
One day he gave his friends 1/2 of his chocolate bars.
The next day a thief came into the boy's home and got 1/5 of the little boy's chocolate bars.
When the little boy woke up he ate 1/4 of the chocolate bars.
The little boy's dad took 2/3 to a party.
The little boy ate one of the chocolate bars.
At school the little boy bumped into a bully and the bully took 3/4 of the chocolate bars.
How many were left?
Eleni
Emma went to the pet shop and bought 10 kittens.
Emma gave Nina 1/2 of the kittens.
Then Emma gave Eleanor 3/5 of the kittens.
Then Emma gave Matilda 1/2 of the kittens.
How many does Emma have left?
Eleanor, Matilda and Nina
I have $50 and I dropped 1/2 down the drain.
Then I spend 2/5 and kept the rest.
I spent 2/3 and threw $1 away
How much did I have left?
Eirini and Auguste
A large man had 100 hamburgers, but the doctor said he only had one week until they blew up. So he had to get rid of them.
On the first day he ate 1/4 of them and gave one to his fat dog.
On the second day he ate 1/2 of them and gave one to his fat dog.
On the third day he ate 3/4 of them.
On the forth day he ate 2/3 of them and gave one to his fat dog.
On the firth day he ate half of them.
How many did he have left?
And then he blew up.
Luna
A buffalo had 30 mandarins.
On the first day he decided to keep 2/3 of the mandarins. He threw the rest in the bin.
On the second day he ate 1/2 of the mandarins.
On the third day he decided to keep half of his mandarins. Then he ate one.
On the forth day he took away 1/2 and ate them.
On the fifth day he ate 1/2.
How many did he have left?
Mohamed
A werewolf had 10 humans
On Monday he ate 1/2 of them and then he captured one.
On Tuesday he ate 1/3 of the humans.
On Wednesday he ate 1/2 of them.
On Thursday he ate 1/2 of them.
How many humans did he have left?
Sholto
A bunny rabbit had a peach tree with 40 peaches on it.
On the first day he have 1/2 away but then 10 peaches grew at the same time.
On the second day he gave away 1/3 but 5 peaches grew.
On the third day he gave away 1/5 but 2 peaches grew.
On the fourth day he gave away 1/2 but 4 grew.
On the fifth day he gave away 1/5 and then he ate 1.
On the sixth day he gave away 2/3.
Then, 2/3 rotted, how many did he have left?
Angus
A girl had 10 pencils
On the first day she gave away 1/5 of her pencils to her teacher.
On the second day she gave away 1/4 of his pencils.
On the third day she gave away 2/3 of her pencils.
On the last day she lost one in the market.
How many did she have left?
Heer
A donkey had 40 apples
On the first day he kept 2/5 of his apples and gave the rest away. Then he ate one.
On the second day he kept 2/3 of his apples and gave away the rest away. Then he ate one.
On the third day he kept 2/3 of his apples and then he gave away the rest. Then he ate one.
On the forth day he kept 3/5 of his apples and gave the rest away. Then he ate one.
On the fifth day he ate 1/2 of his apples.
How many did he have left?
Spencer and Sonny
A girl had 12 pencils.
On the first day she gave away 1/3.
On the second had she gave away 1/4.
On the third day she lost 2/3.
On the fourth day she gave 1/2 away.
How many did she have left?
Jaida


