This feature brings together tricky tasks which have been created for the Young Mathematicians’ Award. Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even This problem challenges you to find out how many odd numbers there are between pairs of numbers. Scroll down to see groups of tasks from the site which will give learners experience of specific skills. Place four pebbles on the sand in the form of a square. Can you match the cards?

Curious Number Age 7 to 11 Challenge Level: This article looks at how images, concrete apparatus and representations can help students develop deeper understandings of abstract mathematical ideas. Pebbles Place four pebbles on the sand in the form of a square. Filter by resource type problems games articles general resources Lists Filter by age 5 to 7 7 to 11 11 to 14 14 to 16 16 to Age 5 to 11 The tasks in this feature encourage learners to become fluent with times tables, but with a difference The great planetary explorer Nico counted 52 legs.

Find the chain which contains the smallest possible numbers. 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.

# Problem Solving :

Multiplication of Vectors Age 16 to 18 An account of multiplication of vectors, both scalar products and vector products. Multiplication Square Poster – March Can you work out some different ways to balance this equation? Can you work out how to balance this equaliser?

Three Dice Age 7 to 11 Challenge Level: Age 5 to 11 The tasks in this feature encourage learners to become fluent with times tables, but with a difference Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons? Pebbles Age 7 to 11 Challenge Level: This article takes the reader through divisibility tests and how they work.

Play this game and see if you can figure out the computer’s chosen number. Age 5 to 11 The tasks in this feature are all about practising times tables, but with a difference Your Solutions Age 5 to The lower primary tasks in this collection could each be solved by working backwards. Can you find the smallest number that lights up all four lights? If you know the numbers that come out, what multiplication might be going on in the box?

Can you fill in this table square? Triangle Numbers Age 11 to 14 Challenge Level: Can you order the digits from to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by ptoblem, and so on?

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solviing Can you predict when you’ll be clapping and when you’ll be clicking if you start this rhythm? Asteroid Blast Age 7 to 11 Challenge Level: Jane accidentally multiplied by 54 instead of 45, and her answer was too big. I’m thinking of a number. Given probabilities of taking paths in a graph from each node, use matrix multiplication to find the probability of going from one vertex to another in 2 stages, or 3, or 4 or even The numbers 1 – 9 may be used once and once only.

How do nricg images help to explain this?

# Multiplying decimals investigation

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. This big box multiplies anything that goes inside it by the same number. Which numbers of bears can they share so that there are none left over?

To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers problwm to embed rich mathematical proble, into everyday classroom practice.

## Long Multiplication

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? Can you get four in a row?

What number did she multiply 54 by?