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There are 70 NRICH Mathematical resources connected to Comparing and Ordering numbers, you may find related items under Numbers and the Number System.

Broad Topics > Numbers and the Number System > Comparing and Ordering numbers

### 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?

### Carroll Diagrams

##### Age 5 to 11 Challenge Level:

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

### More Carroll Diagrams

##### Age 7 to 11 Challenge Level:

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

### Greater Than or Less Than?

##### Age 7 to 11 Challenge Level:

Use the numbers and symbols to make this number sentence correct. How many different ways can you find?

### Can You Do it Too?

##### Age 5 to 7 Challenge Level:

Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

### Now and Then

##### Age 7 to 11 Challenge Level:

Look at the changes in results on some of the athletics track events at the Olympic Games in 1908 and 1948. Compare the results for 2012.

### Olympic Starters

##### Age 7 to 11 Challenge Level:

Look at some of the results from the Olympic Games in the past. How do you compare if you try some similar activities?

### Largest Even

##### Age 5 to 7 Challenge Level:

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

### Light the Lights

##### Age 5 to 7 Challenge Level:

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

### I Like ...

##### Age 5 to 7 Challenge Level:

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

### Dicey Operations

##### Age 11 to 14 Challenge Level:

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

### Nice or Nasty

##### Age 7 to 14 Challenge Level:

There are nasty versions of this dice game but we'll start with the nice ones...

### Venn Diagrams

##### Age 5 to 11 Challenge Level:

Use the interactivities to complete these Venn diagrams.

### 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?

### Various Venns

##### Age 7 to 11 Challenge Level:

Use the interactivities to complete these Venn diagrams.

### 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?

### Multiplication Square Jigsaw

##### Age 7 to 11 Challenge Level:

Can you complete this jigsaw of the multiplication square?

### 100 Square Jigsaw

##### Age 5 to 7 Challenge Level:

Can you complete this jigsaw of the 100 square?

### Weighted Numbers

##### Age 5 to 7 Challenge Level:

Use the number weights to find different ways of balancing the equaliser.

### Number Balance

##### Age 5 to 7 Challenge Level:

Can you hang weights in the right place to make the equaliser balance?

### Diagonal Sums

##### Age 7 to 11 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?

### 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?

### 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?

### Robot Monsters

##### Age 5 to 7 Challenge Level:

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

### 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?

### Farey Sequences

##### Age 11 to 14 Challenge Level:

There are lots of ideas to explore in these sequences of ordered fractions.

### Would You Rather?

##### Age 7 to 11 Challenge Level:

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

### Highest and Lowest

##### Age 7 to 11 Challenge Level:

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.

### Mathland Election

##### Age 11 to 14 Challenge Level:

A political commentator summed up an election result. Given that there were just four candidates and that the figures quoted were exact find the number of votes polled for each candidate.

### Which Scripts?

##### Age 7 to 11 Challenge Level:

There are six numbers written in five different scripts. Can you sort out which is which?

### Giants

##### Age 16 to 18 Challenge Level:

Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?

### Birthday Cakes

##### Age 5 to 7 Challenge Level:

Jack's mum bought some candles to use on his birthday cakes and when his sister was born, she used them on her cakes too. Can you use the information to find out when Kate was born?

### Domino Number Patterns

##### Age 5 to 7 Challenge Level:

Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of 3 dominoes?

### Buzzy Bee

##### Age 5 to 7 Challenge Level:

Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

### Unexpected Ordering

##### Age 5 to 7 Challenge Level:

Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?

### Truth or Lie

##### Age 7 to 11 Challenge Level:

Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

### Making Pathways

##### Age 7 to 11 Challenge Level:

Can you find different ways of creating paths using these paving slabs?

### Being Resourceful - Primary Number

##### Age 5 to 11 Challenge Level:

Number problems at primary level that require careful consideration.

### Being Curious - Primary Number

##### Age 5 to 11 Challenge Level:

Number problems for inquiring primary learners.

### Matching Numbers for Two

##### Age 5 to 7 Challenge Level:

Matching Numbers game for an adult and child. Can you remember where the cards are so you can choose two which match?

### Dicey Operations in Line for Two

##### Age 7 to 11 Challenge Level:

Dicey Operations for an adult and child. Can you get close to 1000 than your partner?

### Nice or Nasty for Two

##### Age 7 to 14 Challenge Level:

Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.

### Who Can Be the Winner?

##### Age 5 to 7 Challenge Level:

Some children have been doing different tasks. Can you see who was the winner?

### Sorting the Numbers

##### Age 5 to 11 Challenge Level:

Complete these two jigsaws then put one on top of the other. What happens when you add the 'touching' numbers? What happens when you change the position of the jigsaws?

### Sort Them Out (2)

##### Age 7 to 11 Challenge Level:

Can you each work out the number on your card? What do you notice? How could you sort the cards?

### Dominoes Environment

##### Age 5 to 11 Challenge Level:

These interactive dominoes can be dragged around the screen.

### Street Sequences

##### Age 5 to 11 Challenge Level:

Investigate what happens when you add house numbers along a street in different ways.

### 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?

### 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?

### 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!