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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Number and Place Value

### The Remainders Game

### Roman Numerals

### Coded Hundred Square

### Representing Numbers

### Nice or Nasty

### Satisfying Four Statements

### Number Match

### Planning a School Trip

### Less Is More

### Take Three Numbers

### Which Scripts?

### The Deca Tree

### A Mixed-up Clock

### Round the Four Dice

### Number Differences

### Round the Three DiceLive

### Swimming Pool

### Reasoned Rounding

### First Connect Three

### Dicey Operations in Line

### Tug Harder!

### Count Me In

### Sea Level

### Magic Vs

### Four-digit Targets

### Space Distances

### Number Lines in Disguise

### Three Neighbours

### What Distance?

### Square Subtraction

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

These activities are part of our Primary collections, which are problems grouped by topic.

Age 7 to 14

Challenge Level

Play this game and see if you can figure out the computer's chosen number.

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?

Age 7 to 11

Challenge Level

This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?

Age 7 to 11

Challenge Level

Find as many different ways of representing this number of dots as you can.

Age 7 to 14

Challenge Level

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

Age 7 to 11

Challenge Level

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

Age 5 to 11

Challenge Level

A task which depends on members of the group noticing the needs of others and responding.

Age 7 to 11

Challenge Level

You are organising a school trip and you need to write a letter to parents to let them know about the day. Use the cards to gather all the information you need.

Age 7 to 11

Challenge Level

Use your knowledge of place value to try to win this game. How will you maximise your score?

Age 7 to 11

Challenge Level

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.

Age 7 to 11

Challenge Level

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

Age 7 to 11

Challenge Level

This activity involves rounding four-digit numbers to the nearest thousand.

Age 7 to 11

Challenge Level

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

Age 7 to 11

Challenge Level

What happens when you round these three-digit numbers to the nearest 100?

Age 5 to 11

Challenge Level

In this problem, we're investigating the number of steps we would climb up or down to get out of or into the swimming pool. How could you number the steps below the water?

Age 7 to 14

Challenge Level

Four strategy dice games to consolidate pupils' understanding of rounding.

Age 7 to 11

Challenge Level

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

Age 7 to 11

Challenge Level

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

Age 7 to 11

Challenge Level

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

Age 7 to 11

Challenge Level

How do you know whether you will reach these numbers when you count in steps of six from zero?

Age 7 to 11

Challenge Level

The picture shows a lighthouse and some underwater creatures. Can you work out the distances between some of the different creatures?

Age 7 to 11

Challenge Level

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Age 7 to 11

Challenge Level

You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?

Age 7 to 11

Challenge Level

This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.

Age 7 to 14

Challenge Level

Some of the numbers have fallen off Becky's number line. Can you figure out what they were?

Age 7 to 14

Challenge Level

Take three consecutive numbers and add them together. What do you notice?

Age 7 to 11

Challenge Level

Can you use addition and subtraction to answer these questions about real-life distances?

Age 7 to 11

Challenge Level

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?