Visualising and representing

problem
Number lines in disguise

Age

7 to 14

Challenge level

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
problem
Price match

Age

7 to 11

Challenge level

Can you find pairs of differently sized windows that cost the same?
problem
Representing numbers

Age

7 to 11

Challenge level

Find as many different ways of representing this number of dots as you can.
problem
Jigsaw pieces

Age

7 to 11

Challenge level

How will you go about finding all the jigsaw pieces that have one peg and one hole?
problem
Linked chains

Age

7 to 11

Challenge level

Can you find ways to make twenty-link chains from these smaller chains? This gives opportunities for different approaches.
problem
Fraction lengths

Age

7 to 11

Challenge level

Can you find combinations of strips of paper which equal the length of the black strip? If the length of the black is 1, how could you write the sum of the strips?
problem
Always, sometimes or never? Number

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
problem
Always, sometimes or never? KS1

Age

5 to 7

Challenge level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
problem
Always, sometimes or never?

Age

5 to 11

Challenge level

Are these statements relating to odd and even numbers always true, sometimes true or never true?
problem
Painting possibilities

Age

7 to 11

Challenge level

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes and the small cubes that would fit inside each one.