What was Annie’s secret number? Age 5 to 11 The tasks in this feature are all about practising times tables, but with a difference Can you match the cards? 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. The lower primary tasks in this collection could each be solved by working backwards. Funny Factorisation Age 11 to 14 Challenge Level:

Register for our mailing list. Find the chain which contains the smallest possible numbers. Can you find some more abundant numbers? Counting Cogs Age 7 to 14 Challenge Level: How many legs do each of these creatures have?

These lower primary tasks could all be tackled using a trial and improvement approach. Multiplication Squares Age 7 to 11 Challenge Level: This problem is designed to help children to learn, and to use, the two and three times tables.

## Long Multiplication

Abundant Numbers Age 7 to 11 Challenge Level: Can you work out the arrangement of the digits in the square so that the given products are correct? Student Solutions Age 5 to We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape.

Multiply Multiples 1 Age 7 to 11 Challenge Level: Bracelets Investigate the different shaped bracelets you could make from 18 different spherical beads. Repetitiously Age 11 to 14 Challenge Level: Can you use the number sentences to work out what they are?

What is the sum of the denominator and numerator? Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Catrina’s Cards Age 5 to 7 Challenge Level: The tasks in this feature encourage learners to become fluent with times tables, but with a difference Follow the Numbers Age 7 to 11 Challenge Level: This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division.

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.

# Multiplication and Division KS1 :

Using the digits 1 to 9, the number can be written as the product of two numbers. Missing Multipliers Age 7 to 14 Challenge Level: Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?

In how many different ways can you do it? Place four pebbles on the sand in the form of a square.

Can you multiiplication this jigsaw of the multiplication square? Fraction Multiplication Age 11 to 16 Challenge Level: Triangle Numbers Age 11 to 14 Challenge Level: Growing Garlic Age 5 to 7 Challenge Level: Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids.

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## Problem Solving

They are each holding kw2 card with a number on it. Factor-multiple Chains Age 7 to 11 Challenge Level: Can you work out the table and the shift each time? Can you get close to than your partner?