# NRICH PROBLEM SOLVING Y3

What kind of number do you get? Register for our mailing list. Factor Track Age 7 to 14 Challenge Level: 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’. Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach. This dice train has been made using specific rules.

Have a go at balancing this equation. This multiplication uses each of the digits 0 – 9 once and once only. Each light in this interactivity turns on according to a rule. Can you make square numbers by adding two prime numbers together? The tasks in this collection encourage lower primary children to conjecture and generalise. Have a look at this table of how children travel to school. In this article for teachers, Lynne explains why it should be.

Can you work out what is on each face and the route it has taken? Three Neighbours Age 7 to 11 Challenge Level: Half Time Age 5 to 11 Challenge Level: Sweets are given out to party-goers in a particular way.

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Compare the results for Can you work out the table and the shift each nricj Adam’s watch gains one minute every hour. Four Go Age 7 to 11 Challenge Level: These lower primary tasks all specifically draw on the use of visualising. Can you use the information to find out which cards I have used? Age 7 to 11 Nruch and Generalising at KS2 The tasks in this collection encourage upper primary children to conjecture and generalise.

# Working Systematically at KS2 :

The great planetary explorer Nico counted 52 legs. In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7.

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line. What do the numbers shaded in blue on this hundred square have in common? Can you sort out the clues problej find the number?

How does it compare with children in your class? Number live Age 7 to 11 Challenge Level: Investigate the different numbers rnich people and rats there could have been if you know how many legs there are altogether!

You are organising a school trip and you need to write a letter to parents to let them know about the day.

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Three Dice Age 7 to 11 Challenge Level: Finding Fifteen Age 7 to 11 Challenge Level: Class 5 were looking at the first letter of each of their names. How Do You Do It? The Zios have 3 legs and the Zepts have 7 legs.

These eleven shapes each stand for a different number. Can you make square numbers by adding two prime numbers together?

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Can you prove it?

## Problem Solving

Three children are going to buy some plants for their birthdays. Fifteen Cards Age 7 to 11 Challenge Level: Can you make 15, 16 and 17 too? Magic Vs Age 7 to 11 Challenge Level: Abundant Numbers Age 7 to 11 Challenge Splving Using the information given, can you replace the stars in the calculation with figures?