## NRICH PROBLEM SOLVING KS2 NUMBER

Carrying Cards Age 7 to 11 Challenge Level: 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’. This dice train has been made using specific rules. How about if I had five buttons? On my calculator I divided one whole number by another whole number and got the answer 3.

Age 5 to 11 Challenge Level: 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. Can you complete this calculation by filling in the missing numbers? Use two dice to generate two numbers with one decimal place. Cycling Squares Age 7 to 11 Challenge Level: The idea is to go round the track in as few moves as possible, keeping to the rules.

Can you prove it? What fraction of the piece of paper is the small triangle?

# Multiplication and Division KS2 :

The value of the circle changes in each of the following problems. What do they mean?

This feature is somewhat larger than our usual features, but that is because it is packed with resources to help you develop a problem-solving approach to the teaching and learning of mathematics. Counting Cogs Age 7 to 14 Challenge Level: Age 5 to 7 Conjecturing and Generalising at KS1 The tasks in this collection encourage lower primary children to conjecture and generalise.

Highest and Lowest Age 7 to 11 Challenge Level: Dicey Operations Age 11 to 14 Challenge Level: She has 24 dominoes in her box and there are spots on them altogether.

## Problem Solving

Can you get four in a row? How many different triangles can you make on a circular pegboard that has nine pegs? Remainders Age humber to 14 Challenge Level: Set your own level of challenge and beat your own previous best score. How do the images help to explain this? This task combines spatial awareness pgoblem addition and multiplication. Ordering Cards Age 5 to 11 Challenge Level: Try out some calculations. 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.

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Curious Number Age 7 to 11 Challenge Level: Place four pebbles on the sand in the form of a square. Ip Dip Age 5 to 11 Challenge Level: What kind of number do you get? Ordered Ways of Working Upper Primary These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.

This challenge combines addition, multiplication, perseverance and even proof. How could you arrange at least two dice in a stack so that the total of the visible spots is 18?

## Working Systematically at KS2

Can you use the information to find out which cards I have used? This task offers opportunities to subtract fractions using A4 paper.

Use two dice to generate two numbers with one decimal place. Carrying Cards Numbrr 7 to 11 Challenge Level: How do you know if your set of dominoes is complete?

# Fractions KS2 :

To support this aim, members of the NRICH team work in a wide range solvung capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Where would be the best place for each child in the class to sit if they came in one at a time?

In this article for teachers, Lynne explains why it should be. Who said that adding, subtracting, multiplying and jrich couldn’t be fun?