Fractions

problem
Lower bound

Age

14 to 16

Challenge level

What would you get if you continued this sequence of fraction sums? 1/2 + 2/1 = 2/3 + 3/2 = 3/4 + 4/3 =
problem
Comparing continued fractions

Age

16 to 18

Challenge level

Which of these continued fractions is bigger and why?
problem
Can it be?

Age

16 to 18

Challenge level

When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?
problem
Canny fraction

Age

14 to 16

Challenge level

What fraction of the volume of this can is filled with lemonade?
problem
What a joke

Age

14 to 16

Challenge level

Each letter represents a different positive digit AHHAAH / JOKE = HA What are the values of each of the letters?
problem
Diagonal touch

Age

14 to 16

Challenge level

Weekly Problem 21 - 2012
Two rectangles are drawn in a rectangle. What fraction of the rectangle is shaded?
problem
Fractions made faster

Age

7 to 11

Challenge level

Use the fraction wall to compare the size of these fractions - you'll be amazed how it helps!
problem
Pythagoras' comma

Age

14 to 16

Challenge level

Using an understanding that 1:2 and 2:3 were good ratios, start with a length and keep reducing it to 2/3 of itself. Each time that took the length under 1/2 they doubled it to get back within range.
problem
Percentage swap

Age

14 to 16

Challenge level

What is 50% of 2007 plus 2007% of 50?
problem
Recurring mean

Age

14 to 16

Challenge level

What is the mean of 1.2 recurring and 2.1 recurring?