There is a clock-face where the numbers have become all mixed up. Factor Lines Age 7 to 14 Challenge Level: Make Age 7 to 11 Challenge Level: What numbers could be inside the envelopes? Tasks for KS2 children which focus on working systematically. This challenge is a game for two players.

Display Boards Age 7 to 11 Challenge Level: What happens if you join every second point on this circle? The numbers 2 were used to generate it with just one number used twice. There are 78 prisoners in a square cell block of twelve cells. Scroll down to see our complete collection of KS2 problems that require children to work systematically, or explore the two sub-collections focusing on important aspects of systematic working. What do the numbers shaded in blue on this hundred square have in common?

This challenge combines addition, multiplication, perseverance and even proof. Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Age 5 to 7 Working Backwards at KS1 The lower primary tasks in this collection could each be solved by working backwards.

This big box multiplies anything that goes inside it by the same number.

# Addition and Subtraction KS2 :

Can you use the information to find out which cards I have used? Age 7 to 11 Reasoning and Convincing at KS2 The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’.

Counting Cards Age 7 to 11 Problwm Level: Keep adding as few pebbles as necessary to double the area. Many opportunities to work in different ways. Can you work out the arrangement of the digits in the square so that the given products are correct?

Using the information given, can you replace the stars in the calculation with figures? Number live Age 7 to 11 Challenge Level: Cycling Squares Age 7 to 11 Challenge Level: Can you prove it? Nearly all of us have made table mahts on hundred squares, that is 10 by 10 grids.

Display Boards Age 7 to 11 Challenge Level: These upper primary tasks all specifically draw on the use of visualising.

This challenge is a game for two players. Can you replace the letters with numbers? Age 7 to 11 Challenge Level: Odd Squares Age 7 to 11 Challenge Level: The winner is the first to make the total In this article for teachers, Lynne explains why it should be.

Trebling Age 7 to jrich Challenge Level: Inky Cube Age 7 to 14 Challenge Level: Can you complete this calculation by filling in the missing numbers? How many different squares can you make altogether? Can you make square numbers by adding two prime numbers together?

## Working Systematically at KS2

Make Age 7 to 11 Challenge Level: Can you get four in a row? Every card he revealed had the same value as the one he had just finished spelling. Play this game and see if you can figure out the computer’s chosen sloving. Always, Sometimes or Never?

If you know the numbers that come out, what multiplication might be going on in the box? How could you put these three beads into bags?

Here are some useful problem-solving skills:. Reach Age 7 to 14 Challenge Level: