Percentages

problem
Percentage swap

Age

14 to 16

Challenge level

What is 50% of 2007 plus 2007% of 50?
problem
Margins

Age

11 to 14

Challenge level

Weekly Problem 16 - 2008
A 30cm x 40cm page of a book includes a 2cm margin on each side... What percentage of the page is occupied by the margins?
problem
Percentage unchanged

Age

14 to 16

Challenge level

If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by ?
problem
Antiques roadshow

Age

14 to 16

Challenge level

Last year, on the television programme Antiques Roadshow... work out the approximate profit.
problem
Slightly outnumbered

Age

11 to 14

Challenge level

If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?
problem
You never get a six

Age

7 to 11

Challenge level

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.
problem
The money maze

Age

7 to 11

Challenge level

Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?
problem
Planning a school trip

Age

7 to 11

Challenge level

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.
problem
Would you rather?

Age

7 to 11

Challenge level

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?
problem
Are you a smart shopper?

Age

7 to 11

Challenge level

In a town there are three supermarkets which each have a special deal on some products. If you bought all your shopping in one shop, which would be the cheapest?