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Broad Topics > NC > NC Number and Place Value

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Eightness of Eight

Age 5 to 7 Challenge Level:

What do you see as you watch this video? Can you create a similar video for the number 12?

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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?

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Satisfying Four Statements

Age 7 to 11 Challenge Level:

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

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Representing Numbers

Age 7 to 11 Challenge Level:

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

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Roman Numerals

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?

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Space Distances

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.

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Ordering Journeys

Age 7 to 11 Challenge Level:

How would you put these journey lengths in order? Give a bit of a place value challenge with subtractions set out not as a calculation.

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What Distance?

Age 7 to 11 Challenge Level:

This task gives an opportunity to perform some subtractions in a slightly realistic situation.

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Count Me In

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?

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Dicey Operations in Line

Age 7 to 11 Challenge Level:

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

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Reasoned Rounding

Age 7 to 14 Challenge Level:

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

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Count the Crayons

Age 5 to 7 Challenge Level:

How could you estimate the number of pencils/pens in these pictures?

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Five Steps to 50

Age 5 to 7 Challenge Level:

Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?

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Round the Two Dice

Age 5 to 7 Challenge Level:

This activity focuses on rounding to the nearest 10.

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Round the Four Dice

Age 7 to 11 Challenge Level:

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

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Snail One Hundred

Age 5 to 7 Challenge Level:

This is a game in which your counters move in a spiral round the snail's shell. It is about understanding tens and units.

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That Number Square!

Age 5 to 11 Challenge Level:

Exploring the structure of a number square: how quickly can you put the number tiles in the right place on the grid?

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How Would We Count?

Age 5 to 11 Challenge Level:

An activity centred around observations of dots and how we visualise number arrangement patterns.

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Three Neighbours

Age 7 to 11 Challenge Level:

Look at three 'next door neighbours' amongst the counting numbers. Add them together. What do you notice?

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Square Subtraction

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?

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Take Three Numbers

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?

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What's in a Name?

Age 5 to 7 Challenge Level:

Here's a very elementary code that requires young children to read a table, and look for similarities and differences.

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All Change

Age 5 to 7 Challenge Level:

There are three versions of this challenge. The idea is to change the colour of all the spots on the grid. Can you do it in fewer throws of the dice?

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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?

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Dotty Six

Age 5 to 11 Challenge Level:

Dotty Six is a simple dice game that you can adapt in many ways.

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Count the Digits

Age 5 to 11 Challenge Level:

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

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Sitting Round the Party Tables

Age 5 to 11 Challenge Level:

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

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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?

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Planning a School Trip

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.

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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?

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Number Match

Age 5 to 11 Challenge Level:

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

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Dicey Operations

Age 11 to 14 Challenge Level:

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

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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...

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Coded Hundred Square

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?

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The Remainders Game

Age 7 to 14 Challenge Level:

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

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Two-digit Targets

Age 5 to 7 Challenge Level:

You have a set of the digits from 0 – 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

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Four-digit Targets

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?

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Magic Vs

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?

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Shut the Box

Age 5 to 7 Challenge Level:

An old game but lots of arithmetic!

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Sea Level

Age 7 to 11 Challenge Level:

The picture shows a lighthouse and many underwater creatures. If you know the markings on the lighthouse are 1m apart, can you work out the distances between some of the different creatures?

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Tug Harder!

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?

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Tug of War

Age 5 to 7 Challenge Level:

Can you use the numbers on the dice to reach your end of the number line before your partner beats you?

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First Connect Three

Age 7 to 14 Challenge Level:

The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. Are there some numbers that are good to aim for?

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Swimming Pool

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?

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100 Square Jigsaw

Age 5 to 7 Challenge Level:

Can you complete this jigsaw of the 100 square?

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Same Length Trains

Age 5 to 7 Challenge Level:

How many trains can you make which are the same length as Matt's, using rods that are identical?

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Number Differences

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?

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Robot Monsters

Age 5 to 7 Challenge Level:

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

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A Mixed-up Clock

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?

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The Deca Tree

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.