Will your answer be odd or even? The tasks in this collection encourage children to create, recognise, extend and explain number patterns. Subtraction Surprise Age 7 to 14 Challenge Level: How many different squares can you make altogether? Can you sort out which is which?

Which pairs do not let this happen? Route Product Age 7 to 11 Challenge Level: This square jigsaw is written in code. Age 7 to 11 Challenge Level: What was the total and how could this be done?

# Problem-solving Skills :

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new “layer”? Can you find out where all the numbers have got to from these ten soving

Number live Age 7 to 11 Challenge Level: Register for our mailing list. Can you solvign out the arrangement of the digits in the square so that the given products are correct? What do you notice about the pink numbers? All the Digits Age 7 to 11 Challenge Level: Working Systematically at KS2. Who said that adding, subtracting, multiplying and dividing couldn’t be fun?

The numbers 2 were used to generate it with just one number used twice. Finding Fifteen Age 7 to 11 Challenge Level: Make 37 Age 7 to 14 Challenge Level: Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

How quickly can you put back the numbers on the hundred square? Can you work out the table and the shift each time? Which pairs do not let this happen? Maze Age 7 to 11 Splving Level: Three Neighbours Age 7 to 11 Challenge Level: In this article for teachers, Lynne explains why it should be. Register for our mailing list. Ten cards are put into five envelopes so that there are two cards in each envelope. The clever prison warder arranged them so there were 25 along each wall of the prison block.

Sweets are given out to party-goers in a particular way. Journeys in Numberland Age 7 to 11 Problek Level: Can you put the numbers 1 to 8 into the circles so that the four calculations probpem correct? On my calculator I divided one whole number by another whole number and got the answer 3.

Choose two of the numbers to multiply or divide, then mark your answer on the number line.

## Multiplication and Division KS2

Division Rules Age 7 to 11 Challenge Level: Play this game and see if you can figure out the computer’s chosen number. How could you put these three beads into bags?

This challenge combines addition, multiplication, perseverance and even proof. How many different shaped boxes can you design for 36 sweets in one layer? Remainders Age 7 to 14 Challenge Level: Imagine a pyramid which is built in ssolving layers of small cubes.

I’m thinking of a number. Investigate the total number of sweets received by people sitting in different positions. Can you work out the scoring system?