List

Number and Place Value

Representing Numbers
problem
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Representing Numbers

Age
7 to 11
Challenge level
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Find as many different ways of representing this number of dots as you can.
Four-digit targets
problem
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Four-digit targets

Age
7 to 11
Challenge level
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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?
Satisfying Four Statements
problem
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Satisfying Four Statements

Age
7 to 11
Challenge level
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Can you find any two-digit numbers that satisfy all of these statements?
Coded hundred square
problem
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Coded hundred square

Age
7 to 11
Challenge level
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This 100 square jigsaw is written in code. It starts with 1 and ends with 100. Can you build it up?
Nice or Nasty
problem
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Nice or Nasty

Age
7 to 14
Challenge level
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There are nasty versions of this dice game but we'll start with the nice ones...
Less is More
problem
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Less is More

Age
7 to 11
Challenge level
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Use your knowledge of place value to try to win this game. How will you maximise your score?
Number match
problem
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Number match

Age
5 to 11
Challenge level
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A task which depends on members of the group noticing the needs of others and responding.

Planning a School Trip
problem
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Planning a School Trip

Age
7 to 11
Challenge level
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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.
The Remainders Game
game
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The Remainders Game

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

Take three numbers
problem
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Take three numbers

Age
7 to 11
Challenge level
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What happens when you add three numbers together? Will your answer be odd or even? How do you know?

Which Scripts?
problem
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Which Scripts?

Age
7 to 11
Challenge level
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There are six numbers written in five different scripts. Can you sort out which is which?
The Deca Tree
problem
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The Deca Tree

Age
7 to 11
Challenge level
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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.
Round the Four Dice
problem
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Round the Four Dice

Age
7 to 11
Challenge level
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This activity involves rounding four-digit numbers to the nearest thousand.
A Mixed-up Clock
problem
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A Mixed-up Clock

Age
7 to 11
Challenge level
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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?

Round the Three Dice
problem
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Round the Three Dice

Age
7 to 11
Challenge level
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What happens when you round these three-digit numbers to the nearest 100?

Number Differences
problem
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Number Differences

Age
7 to 11
Challenge level
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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?
Reasoned Rounding
problem
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Reasoned Rounding

Age
7 to 14
Challenge level
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Four strategy dice games to consolidate pupils' understanding of rounding.
swimming pool
problem
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Swimming Pool

Age
5 to 11
Challenge level
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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?

Count Me In
problem
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Count Me In

Age
7 to 11
Challenge level
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How do you know whether you will reach these numbers when you count in steps of six from zero?

First Connect Three
problem
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First Connect Three

Age
7 to 11
Challenge level
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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?
Tug Harder!
problem
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Tug Harder!

Age
7 to 11
Challenge level
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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?
Sea Level
problem
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Sea Level

Age
7 to 11
Challenge level
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The picture shows a lighthouse and some underwater creatures. Can you work out the distances between some of the different creatures?

Space distances
problem
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Space distances

Age
7 to 11
Challenge level
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This task focuses on distances travelled by the asteroid Florence. It's an opportunity to work with very large numbers.
Magic Vs
problem
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Magic Vs

Age
7 to 11
Challenge level
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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Roman Numerals
problem
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Roman Numerals

Age
7 to 11
Challenge level
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Can you find some examples when the number of Roman numerals is fewer than the number of Arabic numerals for the same number?
Number Lines in Disguise
problem
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Number Lines in Disguise

Age
7 to 14
Challenge level
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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Three neighbours
problem
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Three neighbours

Age
7 to 14
Challenge level
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Take three consecutive numbers and add them together. What do you notice?
What Distance?
problem
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What Distance?

Age
7 to 11
Challenge level
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Can you use addition and subtraction to answer these questions about real-life distances?

Ordering Journeys
problem
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Ordering Journeys

Age
7 to 11
Challenge level
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How would you put these journey lengths in order?

Square subtraction
problem
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Square subtraction

Age
7 to 11
Challenge level
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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?