Conjecturing and generalising

problem

Sums and Differences 1

Age

7 to 11

Challenge level

This challenge focuses on finding the sum and difference of pairs of two-digit numbers.
problem

Sums and Differences 2

Age

7 to 11

Challenge level

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
problem

Surprising Split

Age

7 to 11

Challenge level

Does this 'trick' for calculating multiples of 11 always work? Why or why not?
$Build it \Up more$

problem

Build It Up More

Age

7 to 11

Challenge level

This task follows on from Build it Up and takes the ideas into three dimensions!
problem

Centred Squares

Age

7 to 11

Challenge level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.
problem

Dice Stairs

Age

7 to 11

Challenge level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
problem

Roll Over the Dice

Age

7 to 11

Challenge level

Watch this video to see how to roll the dice. Now it's your turn! What do you notice about the dice numbers you have recorded?
problem

Counting Counters

Age

7 to 11

Challenge level

Take a counter and surround it by a ring of other counters that MUST touch two others. How many are needed?
problem

Cuisenaire Squares

Age

7 to 11

Challenge level

These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?
problem

Pebbles

Age

7 to 11

Challenge level

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?