### NRICH PROBLEM SOLVING Y2

The tasks in this collection encourage upper primary children to conjecture and generalise. And how do you know you’ve found them all? Birthday Sharing Age 5 to 7 Challenge Level: Cuisenaire Counting Age 5 to 7 Challenge Level: I’m Eight Age 5 to 11 Challenge Level:

Tasks for KS2 children which focus on working systematically. An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting. Square It Age 11 to 16 Challenge Level: Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game. Make one big triangle so the numbers that touch on the small triangles add to

## Addition and Subtraction KS1

Age 7 to 11 Visualising at KS2 These upper primary tasks all specifically draw on the use of visualising. Dicey Addition Age 5 to 11 Challenge Level: Patterns and Sequences KS1. Half Time Age neich to 11 Challenge Level: In the Playground Age 5 to 11 Challenge Level: Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd. Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Growing Garlic Age 5 to 7 Challenge Level: How could you peoblem these three beads into bags?

Birthday Cakes Age 5 to 7 Challenge Level: The winner is the first to have four dots that can be joined to form a square. Click here for a poster of this problem.

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Age 7 to 11 Reasoning and Convincing at KS2 The tasks in this collection can be used to encourage children to convince neich of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’. What could the half time scores have been in these Olympic hockey matches? Can you choose sets of numbers to collect so that neich spin six numbers belonging to your sets in as few spins as possible? Age 7 to 11 Challenge Level: Can you match the cards?

What does each face look like?

Tasks for KS2 children which ntich on working systematically. Scroll down to see groups of tasks from the site which will give learners experience of specific skills.

Can you work out how to balance this equaliser? Age 5 to 7 Trial and Improvement at KS1 These lower primary tasks could all be tackled using a trial and improvement approach.

# NC :: NC Yr 2 :

Planning a School Trip Probllem problem has been designed to work on in a group of about four. Read Lynne’s article which discusses the place of problem solving in the new curriculum and sets the scene. What happens when you add pairs of the numbers together?

How could you extend your pattern on the right-hand grid? Which way should you go to collect the most spells? In this town, houses are built with one room for each person.

Number Detective Age 5 to 11 Challenge Level: Age 7 to 11 Working Backwards at KS2 The upper primary tasks in this collection could each be solved by working backwards.

How Do You See It? How many possible necklaces can you find? Ordering Cards Age 5 to 11 Challenge Level: This problem is designed to help children to learn, and to use, the two and three times tables. Can you explain why?