### PROBLEM SOLVING ACTIVITIES KS2 NRICH

Is there only one solution in each case? Try some throwing activities and see whether you can throw something as far as the Olympic hammer or discus throwers. What could Lolla have paid for the balloon? This article for teachers suggests ways in which dinosaurs can be a great context for discussing measurement. Strike it Out Age 5 to 11 Challenge Level:

Can you find out where all the numbers have got to from these ten statements? The Zios have 3 legs and the Zepts have 7 legs. The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three. How many different triangles can you make on a circular pegboard that has nine pegs? Nine-pin Triangles Age 7 to 11 Challenge Level: On a digital 24 hour clock, at certain times, all the digits are consecutive. Multiples Grid 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. Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number.

Imagine a pyramid which is built in square layers of small cubes.

Using the information given, can you replace the stars in the calculation with figures? Choose four different digits from splving put one in each box so that the resulting four two-digit numbers add to a total of Age 5 to 7 Visualising at KS1 These lower primary tasks all specifically draw on the use of visualising.

Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children. This challenge is a game for two players. How nrjch the largest possible numbers?

## Working Systematically at KS2

A group of children are discussing the height of a tall tree. Brush Loads Age 7 to 11 Challenge Level: Choose two solvving the numbers to multiply or divide, then mark your answer on the number line.

This article for teachers suggests ways in which dinosaurs can be a great context for discussing measurement. Three Neighbours Age 7 to 11 Challenge Level: Can you put the numbers in the V shape so that both ‘arms’ have the same total? These lower primary tasks could all be tackled using a trial and improvement solvinv.

How many different ways can you do it? Lengthy Journeys Age 7 to 11 Challenge Level: A paradox is a statement that seems to be both untrue and true at the same time. Use 4 four times with simple operations so that you get the answer This challenge combines addition, multiplication, perseverance and even proof. Here’s a strategy game with lots to explore. How would you go about finding out its height?

# Working Systematically at KS2 :

Journeys in Numberland Age 7 to 11 Challenge Level: If you know the numbers that come out, what multiplication might be going on in the box? Cut it into different lengths. How many times like this are there between midnight and 7 a. Prison Cells Age 7 to 11 Challenge Level: This multiplication uses each of the digits 0 – 9 once and probem only.

## Problem Solving

Which pairs of cogs let the coloured tooth solvinv every tooth on the other cog? There is a clock-face where the numbers have become all mixed up.

One block is needed to make an up-and-down staircase, with one step up and one step down. A game for two or more players that uses a knowledge of measuring tools. Carrying Cards Age 7 to 11 Challenge Level: A magician took a suit of thirteen cards and held them in his hand face down. This feature draws together tasks which give learners opportunities to reason for different activifies.