Comparing and ordering numbers

There are 82 NRICH Mathematical resources connected to Comparing and ordering numbers
Consecutive Seven
problem

Consecutive Seven

Age
11 to 14
Challenge level
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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?
Sets of Four Numbers
problem

Sets of Four Numbers

Age
7 to 11
Challenge level
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There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
Twizzle's Journey
problem

Twizzle's Journey

Age
5 to 7
Challenge level
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Twizzle, a female giraffe, needs transporting to another zoo. Which route will give the fastest journey?
The Thousands Game
problem

The Thousands Game

Age
7 to 11
Challenge level
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Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?
Robot Monsters
problem

Robot Monsters

Age
5 to 7
Challenge level
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Use these head, body and leg pieces to make Robot Monsters which are different heights.
The Tall Tower
problem

The Tall Tower

Age
5 to 7
Challenge level
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As you come down the ladders of the Tall Tower you collect useful spells. Which way should you go to collect the most spells?
Here to There 1 2 3
problem

Here to There 1 2 3

Age
5 to 7
Challenge level
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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?
A Numbered Route
problem

A Numbered Route

Age
7 to 11
Challenge level
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Can you draw a continuous line through 16 numbers on this grid so that the total of the numbers you pass through is as high as possible?
Farey Sequences
problem

Farey Sequences

Age
11 to 14
Challenge level
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There are lots of ideas to explore in these sequences of ordered fractions.
The Magic Number and the Hepta-Tree
problem

The Magic Number and the Hepta-Tree

Age
7 to 11
Challenge level
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Find the exact difference between the largest ball and the smallest ball on the Hepta Tree and then use this to work out the MAGIC NUMBER!