In this article for teachers, Elizabeth Carruthers and Maulfry Worthington explore the differences between 'recording mathematics' and 'representing mathematical thinking'.
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?
Can you use the numbers on the dice to reach your end of the number line before your partner beats you?
Place the numbers 1 to 10 in the circles so that each number is the
difference between the two numbers just below it.
Exactly 195 digits have been used to number the pages in a book.
How many pages does the book have?
Make your own double-sided magic square. But can you complete both
sides once you've made the pieces?
An old game but lots of arithmetic!
If you have only four weights, where could you place them in order
to balance this equaliser?
Here is a chance to play a version of the classic Countdown Game.
Can you design a new shape for the twenty-eight squares and arrange
the numbers in a logical way? What patterns do you notice?
There are nasty versions of this dice game but we'll start with the nice ones...
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
How many solutions can you find to this sum? Each of the different letters stands for a different number.
How would you count the number of fingers in these pictures?
In a square in which the houses are evenly spaced, numbers 3 and 10
are opposite each other. What is the smallest and what is the
largest possible number of houses in the square?
Can you put the numbers 1 to 8 into the circles so that the four
calculations are correct?
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Place six toy ladybirds into the box so that there are two
ladybirds in every column and every row.
Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.
Choose a symbol to put into the number sentence.
Have a go at this game which involves throwing two dice and adding
their totals. Where should you place your counters to be more
likely to win?
Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?
This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.
Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
A game for 2 people using a pack of cards Turn over 2 cards and try
to make an odd number or a multiple of 3.
Use the number weights to find different ways of balancing the equaliser.
In how many ways could Mrs Beeswax put ten coins into her three
puddings so that each pudding ended up with at least two coins?
This is an adding game for two players.
Can you hang weights in the right place to make the equaliser
A game for 2 or more players with a pack of cards. Practise your
skills of addition, subtraction, multiplication and division to hit
the target score.
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
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?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
Can you make a cycle of pairs that add to make a square number
using all the numbers in the box below, once and once only?
This problem is based on a code using two different prime numbers
less than 10. You'll need to multiply them together and shift the
alphabet forwards by the result. Can you decipher the code?
A game for 2 players. Practises subtraction or other maths
A game for 2 or more players. Practise your addition and subtraction with the aid of a game board and some dried peas!
How have the numbers been placed in this Carroll diagram? Which
labels would you put on each row and column?
Place the numbers 1 to 6 in the circles so that each number is the
difference between the two numbers just below it.
In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.
Dotty Six is a simple dice game that you can adapt in many ways.
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
Use five steps to count forwards or backwards in 1s or 10s to get to 50. What strategies did you use?
Make one big triangle so the numbers that touch on the small triangles add to 10. You could use the interactivity to help you.
If you have ten counters numbered 1 to 10, how many can you put
into pairs that add to 10? Which ones do you have to leave out?
If you hang two weights on one side of this balance, in how many
different ways can you hang three weights on the other side for it
to be balanced?
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
Can you follow the rule to decode the messages?