Conjecturing and generalising

problem
Tumbling down

Age

7 to 11

Challenge level

Watch this animation. What do you see? Can you explain why this happens?
problem
Next-door numbers

Age

5 to 7

Challenge level

Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
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
Robotic rotations

Age

11 to 16

Challenge level

How did the the rotation robot make these patterns?
problem
Satisfying four statements

Age

7 to 11

Challenge level

Can you find any two-digit numbers that satisfy all of these statements?
problem
Roman numerals

Age

7 to 11

Challenge level

Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?
problem
Always, sometimes or never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?
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?