Comparing and ordering numbers

problem
Pros and cons

Age

14 to 16

Challenge level

If p is a positive integer and q is a negative integer, which of these expressions is the greatest?
problem
Caterpillars

Age

5 to 7

Challenge level

These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
problem
Factor-multiple chains

Age

7 to 11

Challenge level

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
problem
Multiplication square jigsaw

Age

7 to 11

Challenge level

Can you complete this jigsaw of the multiplication square?
problem
100 square jigsaw

Age

5 to 7

Challenge level

Can you complete this jigsaw of the 100 square?
problem
Street sequences

Age

5 to 11

Challenge level

Investigate what happens when you add house numbers along a street in different ways.
problem
One to fifteen

Age

7 to 11

Challenge level

Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
problem
Move a match

Age

7 to 11

Challenge level

How can you arrange these 10 matches in four piles so that when you move one match from three of the piles into the fourth, you end up with the same arrangement?
problem
Number balance

Age

5 to 7

Challenge level

Can you hang weights in the right place to make the the number balance balanced?
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!