Pebbles Age 7 to 11 Challenge Level: Investigate the total number of sweets received by people sitting in different positions. Dicey Operations Age 11 to 14 Challenge Level: More mathematics of yesteryear. On the same day he sowed a bean in another pot. Use your skills of addition, subtraction, multiplication and division to blast the asteroids. Make Age 7 to 11 Challenge Level:

Elevenses Age 11 to 14 Challenge Level: We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. I’m thinking of a number. 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. Pick any ten numbers from the bags above so that their total is What is the smallest number of answers you need to reveal in order to work out the missing headers?

Three Dice Age 7 to 11 Challenge Level: Zios and Zepts Age 7 to 11 Challenge Level: If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube? Same Answer Age 11 to 14 Challenge Level: This game can replace standard practice exercises on finding factors and multiples. Working Backwards at KS2 Probblem 7 to 11 The upper primary tasks in this collection could each be solved by working backwards.

How do they compare if you use 24 beads? Just Repeat Age 11 to 14 Challenge Level: Mobile Numbers Age 5 to 11 Challenge Level: 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.

## The Remainders Game

Put operations signs between nfich numbers 3 4 5 6 to make the highest possible number and lowest possible number. What happens for other sizes? 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? Factor Lines Age 7 to 14 Challenge Level: Details are given of how check codes are constructed using modulus arithmetic for passports, bank accounts, credit cards, ISBN book numbers, and so on.

Can you stop your partner from being able to go? The tasks in this feature encourage learners to become fluent with times tables, but with a difference In this article, Alf outlines six activities using the Gattegno chart, which help to develop understanding of place value, multiplication and division.

The numbers 1 – 9 may be used once and once only. Every day it doubled its height. Can you find the smallest number that lights up all four lights?

Can you put the numbers in the V shape so that both ‘arms’ have the same total? Digital Roots Age 7 to 14 In this article for teachers, Bernard Bagnall describes how to find digital roots and suggests that they can be worth exploring when confronted by a sequence of numbers.

Which numbers of bears can they share so that there are none left over? Arrow arithmetic, but with a twist.

Can you get four in a row? Follow the Numbers Age 7 to 11 Challenge Level: Take any four digit number. Create other dividends and divide them by the same divisor. Register for our mailing list. Factor Lines Age 7 to 14 Challenge Level: Can you sort out the clues and find the number?

# Working Systematically at KS2 :

Imagine a pyramid which is built in square layers of small cubes. Roasting Old Chestnuts 3 Age 11 to peoblem Mainly for teachers. How many shapes can you build from three red and two green cubes?