Table Patterns Go Wild! Can you continue this pattern of triangles and begin to predict how many sticks are used for each new “layer”? Tasks for KS1 children which focus on working systematically. Adam’s watch gains one minute every hour. 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’. Use the information to find out what the three numbers were. Fifteen Cards Age 7 to 11 Challenge Level:

Trebling Age 7 to 11 Challenge Level: Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Can you put these mixed-up times in order? In how many different ways can you do it? The fourth article builds on the third by discussing what we mean by problem-solving skills and how NRICH can help children develop these skills. Number live Age 7 to 11 Challenge Level:

Age 5 to 7 Trial and Improvement at KS1 These lower primary tasks could all be tackled using a trial and improvement approach.

# Patterns and Sequences KS2 :

Amy has a box containing domino pieces but she does not think it is a complete set. What happens if you join every second point on this circle?

How many different trains can you make? Keep adding as few pebbles as necessary to double the area.

How did this work? Katie had a pack of 20 cards numbered from 1 to Can you sort out the clues and find the number? What do the numbers shaded in blue on this hundred square have in common? What kind of number do you get?

# Problem Solving :

By explicitly drawing children’s ;roblem to these four stages, and by spending time on them in turn, we can help children become more confident problem solvers. Mystery Matrix Age 7 to 11 Challenge Level: Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many Zios and how many Zepts were there?

Register for our mailing list. Zios and Zepts Age 7 to 11 Challenge Level: Age 7 to 11 Challenge Level: Half Time Age 5 to 11 Challenge Level: She has 24 dominoes in her box and there are spots on them altogether. Tom and Ben visited Numberland.

Which is quicker, counting up to 30 in ones or counting up to in tens? Register for our mailing list.

Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children. You are organising a school trip and you need to write a letter to parents to let them know about the day. Cover the Tray Age 7 to 11 Challenge Level: This article builds on Jennie’s. Fifteen Cards Age 7 to 11 Challenge Level: Pick any ten numbers from the bags above so that their total is Domino Square Age 7 to 11 Challenge Level: What Is the Time?

Dicey Addition Age 5 to 11 Challenge Level: Register for our mailing list.

## Addition and Subtraction KS2

Factor Track Age 7 to 14 Challenge Level: In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. This cube has ink on each face which leaves marks on paper as it is rolled. How could you arrange at least two problme in a stack so that the total of the visible spots is 18?