Percentages

There are 30 NRICH Mathematical resources connected to Percentages
Retiring to paradise
problem

Retiring to paradise

Age
11 to 14
Challenge level
filled star empty star empty star
When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?
Circle Packing
problem

Circle packing

Age
14 to 16
Challenge level
filled star filled star empty star
Equal circles can be arranged so that each circle touches four or six others. What percentage of the plane is covered by circles in each packing pattern? ...
Margins
problem

Margins

Age
11 to 14
Challenge level
filled star filled star empty star
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?
Round and Round
problem

Round and round

Age
14 to 16
Challenge level
filled star filled star empty star
Prove that the shaded area of the semicircle is equal to the area of the inner circle.
Slightly Outnumbered
problem

Slightly outnumbered

Age
11 to 14
Challenge level
filled star filled star filled star
If this class contains between $45$% and $50$% girls, what is the smallest possible number of girls in the class?
The Magic Number and the Hepta-Tree
problem

The magic number and the hepta-tree

Age
7 to 11
Challenge level
filled star filled star empty star
Find the exact difference between the largest ball and the smallest ball on the Hepta Tree and then use this to work out the MAGIC NUMBER!
Better Spelling
problem

Better spelling

Age
11 to 14
Challenge level
filled star empty star empty star
Weekly Problem 12 - 2010
Can Emily increase her average test score to more than $80$%? Find out how many more tests she must take to do so.
Put out the Flags
problem

Put out the flags

Age
11 to 14
Challenge level
filled star empty star empty star
Tim and Beth both have a string of flags. Use the percentages to find out who has the most flags.
You Never Get a Six
problem

You never get a six

Age
7 to 11
Challenge level
filled star empty star empty star
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.
The Money Maze
problem

The money maze

Age
7 to 11
Challenge level
filled star empty star empty star
Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?