### PROBLEM SOLVING ACTIVITIES KS2 NRICH

Think of a number, square it and subtract your starting number. The winner is the first to make the total This article for teachers suggests ways in which dinosaurs can be a great context for discussing measurement. Four bags contain a large number of 1s, 3s, 5s and 7s. How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Half Time Age 5 to 11 Challenge Level: On the planet Vuv there are two sorts of creatures.

How many times do they flash together during a whole minute? What could Lolla have paid for the balloon? Experiment with the interactivity of “rolling” regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage. Torn Shapes Age 7 to 11 Challenge Level: How many squares did each one have inside it before it was ripped? How many different ways can you do it?

Use the interactivity to move Mr Pearson and his dog. He could then pay any sum of money from 1p to 15p without opening any bag. Can you find the smallest number that lights up all four lights?

How many times like nric are there between midnight and 7 a. Buying a Balloon Age 7 to 11 Challenge Level: This challenge is a game for two players.

# Multiplication and Division KS2 :

What happens when you enter different numbers? Sealed Solution Age 7 to 11 Challenge Level: 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.

Can you problme out the arrangement of the digits in the square so that the given products are correct?

The clever prison warder arranged them so there were 25 along each wall of the prison block. Fifteen Solvung Age 7 to 11 Challenge Level: Counting Cards Age 7 to 11 Challenge Level: Do they all have the same volume?

## Multiplication and Division KS2

Four on the Road Age 14 to 16 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.

This multiplication uses each of the digits 0 – 9 once and once only.

Can you find out where all the numbers atcivities got to from these ten statements? The numbers 1 – 9 may be used once and once only.

My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used.

Play to 37 Age 7 to 11 Challenge Level: Mrs Morgan, the class’s teacher, pinned numbers onto the backs of three children. Can You Do it Too?

The upper primary tasks in this collection could each be solved by working backwards. Multiplication and Division KS2.

Spin the spinner and identify which jobs can be done with the measuring tool shown. Can you make 15, 16 and 17 too? In this activity, the computer chooses a times table and shifts it. Flight Path Age 16 to 18 Challenge Level: Can you make a problsm of pairs that add to make a square number using all the numbers in the box below, once and once only? Can you work out how long the hare sleeps activiyies using the information given? Age 7 to 11 Challenge Level: Choose a symbol to put into the number sentence.

Walk and Ride Age 7 to 14 Challenge Level: Age 5 to 7 Challenge Level: How could he have put them into three piles so that the total in each pile was 15? These rectangles have been torn.