Comparing and ordering numbers

problem
Rod fractions

Age

7 to 14

Challenge level

Pick two rods of different colours. Given an unlimited supply of rods of each of the two colours, how can we work out what fraction the shorter rod is of the longer one?
problem
Diagonal sums

Age

7 to 14

Challenge level

In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
problem
Carrying cards

Age

7 to 11

Challenge level

These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
problem
Consecutive seven

Age

11 to 14

Challenge level

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?
problem
Sets of four numbers

Age

7 to 11

Challenge level

There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
problem
Twizzle's journey

Age

5 to 7

Challenge level

Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
problem
The thousands game

Age

7 to 11

Challenge level

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
problem
Robot monsters

Age

5 to 7

Challenge level

Use these head, body and leg pieces to make Robot Monsters which are different heights.
problem
The tall tower

Age

5 to 7

Challenge level

As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
problem
Here to there 1 2 3

Age

5 to 7

Challenge level

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?