The lower primary tasks in this collection could each be solved by working backwards. Can you find a pair of numbers that has four odds between them? 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. Can you find some paths of your own? What strategies did you use? How Do You See It? Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

Ladybirds in the Garden Age 5 to 7 Challenge Level: Even and Odd Age 5 to 7 Challenge Level: Two Spinners Age 5 to 7 Challenge Level: Robot Monsters Age 5 to 7 Challenge Level: Age 7 to 11 Trial and Improvement at KS2 These upper primary tasks could all be tackled using a trial and improvement approach. This activity focuses on doubling multiples of five. Sweets are given out to party-goers in a particular way.

# Multiplication and Division KS1 :

In Sam and Jill’s garden there are two sorts of ladybirds with 7 spots or 4 spots. Age 5 to 7 Challenge Level: On Friday the magic plant was only 2 centimetres tall. This problem looks at how one example of your choice slving show something about the general structure of multiplication. Ram divided 15 pennies among four small bags.

Age 5 to 7 Reasoning and Convincing at KS1 The tasks in this collection can be used to encourage children to convince others of their reasoning, using ‘because’ statements. Always, Sometimes or Never? Two children made up a game as they walked along the garden nricb.

Every day it doubled its height. Becoming confident and competent as a problem solver is a complex process that requires a range of skills and experience.

## The Puzzling Sweet Shop

Using everyday language to talk about size and position, comparing and ordering by size. Register for our mailing list. Bottles 1 Age 5 to 7 Challenge Level: Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land. Butterfly Flowers Age 5 to 7 Challenge Level: Our Numbers Age 5 to 7 Challenge Level: If you have ten counters nrifh 1 to solivng, how many can you put into pairs that add to 10?

Can you put them on the map of Teddy Town according to the rules? What Could Solvingg Be? How many pennies did Ram put in each bag? Can you find a pair of numbers that has four odds between them?

What numbers of total spots can you make? This neich is about finding the difference between numbers which have the same tens digit. Writing Digits Age 5 to 7 Challenge Level: When will the two be the same height?

## Problem Solving

Yasmin and Zach have some bears to share. Andrew decorated problsm biscuits to take to a party. Age 7 to 11 Conjecturing and Generalising at KS2 The tasks in this collection encourage upper primary children to conjecture and generalise. Finding All Possibilities Lower Primary These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out.

There are some families of seven people living in the town. Cuisenaire Counting Age 5 to 7 Challenge Level: This big box adds something to any number that goes into it. Chairs and Tables Age 5 to 7 Challenge Level: All Change Age 5 to 7 Challenge Level: Counting in ones and twos. Use the number weights to find different ways of balancing the equaliser.