Figure This: Math Challenges for Families is a website developed by a team including the National Council of Teachers of Mathematics.
Level 3 String Problem
Pale has a piece of string 24 centimetres long. He ties the ends together and then lays it out so that it makes a rectangle. He notices that the length of the long sides is twice the length of the short sides.
How long are the sides of the rectangle?
Level 2 String Problem
Chris has a 20cm long piece of string. He wants to cut it into two pieces that are different lengths.
If each piece needs to be an exact number of centimetres in legth, how many different ways can he cut the string?
Level 1 String Problem
A 30cm long piece of string is cut into two pieces. One piece is twice as long as the other.
How long is the longer piece?
The 500 Problem
Here’s a subtraction problem.
In the two subtraction sums below, a and b each stand for digits.
If the two subtraction sums give the same answer, what digits do a and b stand for?