### DIVISION PROBLEM SOLVING KS2 NRICH

How many times do they flash together during a whole minute? You have worked out a secret code with a friend. We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Ten cards are put into five envelopes so that there are two cards in each envelope. From Objects and Images to Mathematical Ideas Age 5 to 18 This article looks at how images, concrete apparatus and representations can help students develop deeper understandings of abstract mathematical ideas.

Pebbles Age 7 to 11 Challenge Level: All the Digits Age 7 to 11 Challenge Level: Sealed Solution Age 7 to 11 Challenge Level: Here is a chance to play a version of the classic Countdown Game. Factor Lines Age 7 to 14 Challenge Level:

Can you find the smallest number that lights up all four lights? On Friday the magic plant was only 2 centimetres tall. Odd Squares Age 7 civision 11 Challenge Level: Flashing Lights Age 7 to 11 Challenge Level: Tea Cups Age 7 to 14 Challenge Level: Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

What would the product of the dice be each time? How many extra pebbles are added each time?

Catrina’s Cards Age 5 to 7 Challenge Level: Play this game and see if you can figure out the computer’s chosen number. Try with different steps and see if you can predict what will happen.

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. Can you fill in this table square? Factor Lines Age 7 to 14 Challenge Level: Can you reconstruct the original multiplication?

## Working Systematically at KS2

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. Use the maps to work out the number of points each of their routes scores. Explore the properties of some groups such as: Prison Cells Age 7 to 11 Challenge Level: Then we build around that red cube with blue cubes and so on. These sixteen children are standing in four lines of four, one behind the other.

How efficient can you be?

# Multiplication and Division KS2 :

Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number. This article for teachers looks at solviny teachers can use problems from the NRICH site to help them teach division.

Birthday Sharing Age 5 to 7 Challenge Level: Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

Use the information to find out what the three numbers were. Here is a Sudoku with a difference!

# The Remainders Game :

The flow chart requires two numbers, M and N. This divisionn challenges you to find out how many odd numbers there are between pairs of numbers.

Multiplication Squares Age 7 to 11 Challenge Level: Problen Level 1 the chosen number will be from 1 to 60 inclusive and you can divide by each of the numbers from 1 to Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd. Related resources supporting pupils’ understanding of multiplication and division through playing with numbers.

Difficulties with Division Age 5 ndich 11 This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division. Clapping Times Age 5 to 7 Challenge Level: Take any four digit number.