Place four pebbles on the sand in the form of a square. Play to 37 Age 7 to 11 Challenge Level: After training hard, these two children have improved their results. How might you show them in a picture, with things, with numbers and symbols? Curious Number Age 7 to 11 Challenge Level: Multiply Multiples 2 Age 7 to 11 Challenge Level:

Use the maps to work out the number of points each of their routes scores. Inky Cube Age 7 to 14 Challenge Level: She has 24 dominoes in her box and there are spots on them altogether. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube? Follow the Numbers Age 7 to 11 Challenge Level:

The numbers 2 were used to generate it with just one number used twice. In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. Design an arrangement of display boards in the school hall which fits the requirements of different people.

## Problem Solving

A game for two people, or play online. Trebling Age 7 to 11 Challenge Level: Each light in this interactivity turns on according to a rule.

This feature draws together tasks which give learners opportunities to reason for different purposes. Age 7 to 11 Challenge Level: Four bags contain a large number of 1s, 3s, 5s and 7s.

How about the largest possible numbers? Factor-multiple Chains Age 7 to 11 Challenge Level: Age 5 probleem 7 Conjecturing and Generalising at KS1 The tasks in this collection encourage lower primary children to conjecture and generalise.

# Multiplication and Division KS2 :

Use the information to find out what the three numbers were. Use the maps to work out the number of points each of their routes scores.

Can you make 15, 16 and 17 too? Investigate the total number of sweets received by people sitting in different positions.

# Addition and Subtraction KS2 :

Can you get four in a row? Try out some calculations.

Trebling Age 7 to 11 Challenge Level: 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. Read Lynne’s article which discusses the place of problem solving in the new curriculum and sets the scene.

Are you surprised by the results? The tasks in this collection encourage lower primary children to conjecture and generalise. He could then pay any sum of money from 1p to 15p without opening any bag.

## Working Systematically at KS2

Scroll down to see our prlblem collection of KS2 problems that require children to work systematically, or explore the two sub-collections focusing on important aspects of systematic working. What happens when you enter different numbers?

Find the chain which contains the smallest possible numbers. Can you find out where all the numbers have got to from these ten statements? Four bags contain a large number of 1s, 3s, 5s and 7s.

Is there only one solution in each case? She prblem the clown six coins to pay for it.

How many different trains can you make? Sealed Solution Age 7 silving 11 Challenge Level: Numerically Equal Age 7 to 11 Challenge Level: You could try for different numbers and different rules.