These tasks lend themselves to considering multiple representations of mathematical thinking. They complement the problems found in our Multiple Representations Feature.
problem
Favourite
Inside triangles
Age
5 to 7
Challenge level
How many different triangles can you draw on the dotty grid which each have one dot in the middle?
problem
Favourite
Number match
Age
5 to 11
Challenge level
A task which depends on members of the group noticing the needs of others and responding.
problem
Favourite
Fraction match
Age
5 to 11
Challenge level
A task which depends on members of the group noticing the needs of others and responding.
problem
Favourite
Five steps to 50
Age
5 to 7
Challenge level
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
problem
Favourite
6 beads
Age
5 to 7
Challenge level
If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?
problem
Favourite
A bowl of fruit
Age
5 to 7
Challenge level
Can you work out how many apples there are in this fruit bowl if you know what fraction there are?
problem
Favourite
Eggs in baskets
Age
5 to 7
Challenge level
There are three baskets, a brown one, a red one and a pink one, holding a total of 10 eggs. How many eggs are in each basket?
problem
Favourite
Rectangle tangle
Age
7 to 11
Challenge level
The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the shapes?
problem
Favourite
A4 fraction subtraction
Age
7 to 11
Challenge level
This task offers opportunities to subtract fractions using A4 paper.
problem
Favourite
Chocolate
Age
7 to 14
Challenge level
There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?
problem
Favourite
Doughnut percents
Age
7 to 14
Challenge level
A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.