What do you notice? What’s the smartest way to do it? I’m Eight Age 5 to 11 Challenge Level: Which ones do you have to leave out? The idea is to go round the track in as few jumps as possible. Ben has five coins in his pocket.

I’m Eight Age 5 to 11 Challenge Level: In Sam and Jill’s garden there are two sorts of ladybirds with 7 spots or 4 spots. Grouping Goodies Age 5 to 7 Challenge Level: Leah and Tom each have a number line. Make a chair and table out of interlocking cubes, making sure that the chair fits under the table! How would you go about finding out its height?

Try grouping the dominoes in the ways described. Age 5 to 7 Challenge Level: Wallpaper Age 5 to 7 Challenge Level: Kimie and Sebastian were making sticks from interlocking cubes and lining them up.

My coat has three buttons. She decorated the honeycomb with a pattern using numbers.

How could I make a dark green rod using yellow and white rods? What do you notice? How Do You See It?

## Addition and Subtraction KS1

An investigation looking at doing and undoing mathematical operations focusing on doubling, halving, adding and subtracting. These upper primary tasks all specifically draw on the use of visualising. Ip Dip Problfm 5 to 11 Challenge Level: If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

What’s in a Name? These lower primary tasks could all be tackled using a trial and improvement approach.

## Problem Solving

Multiplication and Division KS1. Who said that adding couldn’t be fun? The idea is to change the colour of all the spots on the grid. In Sam and Jill’s garden there are two sorts of ladybirds with 7 spots or 4 spots. Number Lines Age 5 to 7 Challenge Level: Age 5 to 7 Challenge Level: Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Using everyday language to talk about size and solvint, comparing and ordering by size. What patterns can you make with a set of dominoes?

Compare the Cups live Age 5 to 7 Challenge Level: Share Bears Age 5 to 7 Challenge Level: Yasmin and Zach have some bears to share. What could the digit be? Pairs of Legs Age 5 to 7 Challenge Level: Age 7 to 11 Conjecturing and Generalising at KS2 The tasks in this collection encourage upper primary children to conjecture and generalise. Find the Difference Age 5 to 7 Challenge Level: And how do you know you’ve found them all?

# Working Systematically at KS1 :

This article, written for primary teachers, discusses what we mean by ‘problem-solving skills’ and draws attention to NRICH tasks which can help develop specific skills. Can you use the picture of him next to a mug to estimate his height and how much tea he drinks? These pieces of wallpaper need to be ordered from smallest to largest.

Inside Triangles Age 5 to 7 Challenge Level: Butterfly Flowers Age 5 to 7 Challenge Level: