Look carefully at the answers. Cycling Squares Age 7 to 11 Challenge Level: Then divide each of those values by the 9, and look at the remainders. Can you sort out the clues and find the number? These eleven shapes each stand for a different number. The Zios have 3 legs and the Zepts have 7 legs.

Square Subtraction Age 7 to 11 Challenge Level: Then divide each of those values by the 9, and look at the remainders. This problem challenges you to find out how many odd numbers there are between pairs of numbers. Find the chain which contains the smallest possible numbers. If you had any number of ordinary dice, what are the possible ways of making their totals 6?

# Working Systematically at KS2 :

Suppose an operator types a US Bank check code into a machine and transposes two adjacent digits will the machine pick up every error of this type? Activities on the Gattegno Chart Age 5 to 11 In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

Alf describes how the Gattegno chart helped a class of year olds gain an awareness of place value and of the inverse relationship between multiplication and division. Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

## Search by Topic

Sending Cards This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. Watch our videos of multiplication methods solviny you may not have met before.

Each light in this interactivity turns on according to a rule. Fac-finding Age 14 to 16 Challenge Level: Ben’s Game Age 11 to 14 Challenge Level: What do they mean?

## Division Rules

This is your divisor. Ten cards are put into five envelopes so that there are two cards in each envelope.

Dicey Operations for an adult and child. How many altogether in this 3 by 5?

# The Remainders Game :

Are You Well Balanced? Curious Number Age 7 to 11 Challenge Level: Remainders Age 7 to 14 Challenge Level: How efficient can you be? The Scot, John Napier, invented these strips about years ago to help calculate multiplication and division.

Which numbers of bears can they share so that there are none left over? How many lollies could there have been in the bag? Think of a number, square it and subtract your starting number. Can you order the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

Each light in this interactivity turns on according to a rule. Register for our mailing list. Follow the clues to find the mystery number.

Age 5 to 7 Challenge Level: Here is a Sudoku with a difference! What is the smallest number of answers you need to reveal in order to work out the missing headers? You could try for different numbers and different rules.

How would you find out how many football cards Catrina has collected? Elevenses Age 11 to 14 Challenge Level: Factor Lines Age 7 to 14 Challenge Divisioj Age 7 to 18 Ranging from kindergarten mathematics to the fringe of research this informal article paints the big picture of number in a non technical way suitable for primary teachers and older students. Check Codes Age 14 to 16 Challenge Level: