How far and in what direction must he travel to get back to his base? Can you replace the letters with numbers? Measure problems at primary level that may require resilience. Register for our mailing list. There are 78 prisoners in a square cell block of twelve cells. What happens when you enter different numbers? At what time, to the nearest second, does this happen?

The tasks in this collection encourage upper primary children to conjecture and generalise. Find the chain which contains the smallest possible numbers. What could the half time scores have been in these Olympic hockey matches? Use the information to find out how long each road is on the route she took. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down? Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length? Try out some calculations.

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Dice in a Corner Age 7 to 11 Challenge Level: Register for our mailing list.

Can you move him so that the graph shows actkvities curve? Alice’s mum needs to go to each child’s house just once and then back home again. Domino Square 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.

# Multiplication and Division KS2 :

Look at some of the results from the Olympic Games in the past. This cube has ink on each face which leaves marks on paper as it is rolled. Can you use the information to find out which cards I have used?

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7.

What happens when you enter different numbers? Olympic Starters Age 7 to 11 Challenge Level: Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers.

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

Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?

## Problem Solving

Use the interactivity to move Mr Pearson and his dog. The numbers 1 – 9 may be used once and once only.

N people visit their friends staying N kilometres along the coast. Got It Age 7 to 14 Challenge Level: Can you find different ways of doing it?

# Addition and Subtraction KS2 :

Trebling Age 7 to 11 Challenge Level: They are each holding a card with a number on it. Age 7 to 11 Conjecturing and Generalising at KS2 The tasks in this collection encourage upper primary children to conjecture and generalise.

Finding Fifteen Age 7 to 11 Challenge Level: Age 5 to 7 Challenge Level: Odd Squares Age 7 to 11 Challenge Level: In this version of the story of the hare and the tortoise, the race is 10 kilometres long.

Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts? Trebling Age 7 to 11 Challenge Level: Swap them around and see if you can find a combination where every measurement is valid.

Area and Perimeter Age 7 to 11 Challenge Level: How many different triangles can you make on a circular pegboard that has nine pegs?