Then we build around that red cube with blue cubes and so on. Multiplication and Division These tasks will help you to think about multiplication and division. Number live Age 7 to 11 Challenge Level: How many different shaped boxes can you design for 36 sweets in one layer? Related resources supporting pupils’ understanding of multiplication and division through playing with numbers. Use the information to find out what the three numbers were.

This article takes the reader through divisibility tests and how they work. What do the numbers shaded in blue on this hundred square have in common? How many pairs is that? Think Plan Communicate Mathematically Age 5 to On the planet Vuv there are two sorts of creatures. Square Subtraction Age 7 to 11 Challenge Level: Method in Multiplying Madness?

Can you find the factors? Clapping Times Age 5 to 7 Challenge Level: This article looks at how images, concrete apparatus and representations can help students develop deeper understandings of abstract mathematical ideas. In how many different ways can you do it?

The numbers 1 – 9 may be used once and once only. Can you find different ways of doing it?

Secret Number Age 5 to 7 Challenge Level: Proof by Logical Argument Age 5 to 11 These tasks are useful contexts in which to explore proof by logical argument. Some of these games are good for practising your mental calculation skills, and some are good for your reasoning skills. Tasks for KS2 children which focus on working systematically. Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

Illustrating Number Properties with Arrays Age 5 to 11 This article for teachers describes how modelling number properties involving multiplication using an array of objects not only allows children to represent their thinking with concrete materials.

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

Register mu,tiplication our mailing list. Asteroid Blast Age 7 to 11 Challenge Level: The tasks in this collection encourage upper primary children to conjecture and generalise. In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

To support this aim, members of the NRICH team work in a wide range multkplication capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. Multiplication and Division Age 7 to 11 These upper primary tasks will help you to think about multiplication and division.

## Long Multiplication

Think of a number, square it and subtract your starting number. Abundant Numbers Age 7 to 11 Challenge Level: Always, Sometimes or Never? Investigate the different shaped bracelets you could make from 18 different spherical beads.

An article to read with pencil and paper to hand. Can you use the problrm sentences to work out what they are?

# Problem Solving :

Can you sort out the clues and find the number? This article for teachers describes how multjplication arrays can be a useful reprentation for many number concepts. This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

Multiply Multiples 3 Age 7 to 11 Challenge Level: Tasks for KS1 children which focus on working systematically.

## Multiplication Squares

Table Patterns Go Wild! This article for teachers describes how number arrays can be a useful reprentation for many number concepts. Strike it Out game for an adult and child.

The solging provides a summary of the elementary ideas about vectors usually met in school mathematics, describes what vectors are and how to add, subtract and multiply them by scalars and indicates. Keep adding as few pebbles as necessary to double the area. Zios and Zepts Age 7 to 11 Challenge Level: Which numbers of bears can they share so that there are none left over?