What could my number be? Look at different ways of dividing things. You might like to arrange them in a circle. How many different ways can you do it? Beads and Bags Age 5 to 11 Challenge Level: Investigate the total number of sweets received by people sitting in different positions.

Amy has a box containing domino pieces but she does not think it is a complete set. Can you make 15, 16 and 17 too? Nine-pin Triangles Age 7 to 11 Challenge Level: How many ways can you find to do up all four buttons on my coat? Use the information to find out what the three numbers were. Using the information given, can you replace the stars in the calculation with figures?

Can you see how these factor-multiple chains work?

# Multiplication and Division KS2 :

Actlvities any ten numbers from the bags above so that their total is Is it the same number for a 12 hour clock over a whole day? Age 7 to 11 Challenge Level: Can you find some more abundant numbers? Can you make square numbers by adding two prime numbers together? Age 7 to 11 Visualising at KS2 These upper primary tasks all specifically draw on the use of visualising.

You could try for different numbers and different rules. Domino Square Age 7 to 11 Challenge Level: Age 5 to 11 Challenge Level: This challenge encourages you to explore dividing a three-digit number by a single-digit number.

Are these statements always true, sometimes true or never true? 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 Skills

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. Square Subtraction Age 7 to 11 Challenge Level: How about the shaded numbers in the other squares?

Is there only one solution in each case? Tim had nine cards each with a different number from 1 to 9 on it.

## Multiplication and Division KS2

Can you see any patterns? Multiply Multiples 2 Age 7 to 11 Challenge Level: Choose four different digits from and put one in each box so that the resulting four two-digit numbers add to a total of Finding All Possibilities Upper Primary These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out. All the Digits Age 7 to 11 Challenge Level: Sealed Solution Age 7 to 11 Challenge Level: Counting Cogs Age 7 to 14 Challenge Level: Now try with a stick of 8 cubes and a stick of 6 cubes.

These clocks have only one hand, but nricy you work out what time they are showing from the information? She has 24 dominoes in her box and there are spots on them altogether.

Number live Age 7 to 11 Challenge Level: Can you use the information to find out which cards I have used?

The activiyies 1 – 9 may be used once and once only. 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. In the aforementioned article, Jennie outlines four stages of the problem-solving process: Can you sort out the clues and find the number? How many different ways can you do it?