### NRICH PROBLEM SOLVING KS1

Age 5 to 7 Trial and Improvement at KS1 These lower primary tasks could all be tackled using a trial and improvement approach. This big box adds something to any number that goes into it. Use these four dominoes to make a square that has the same number of dots on each side. Andrew decorated 20 biscuits to take to a party. You may need to do some estimating, some calculating and some research. KS1 Age 5 to 7 Challenge Level: It’s Sahila’s birthday and she is having a party.

My coat has three buttons. Follow the clues to find the mystery number. How many circles would I need to make the next size up for each? This project challenges you to work out the number of cubes hidden under a cloth. Different Sizes Age 5 to 11 Challenge Level: The upper primary tasks in this collection could each be solved by working backwards. What numbers of total spots can you make?

Lee was writing all the counting numbers from 1 to Kimie and Sebastian were making sticks from interlocking cubes and lining them up.

# The Puzzling Sweet Shop :

There are some families of seven people living in the town. This big box adds something to any number that goes into it.

She decorated the honeycomb with a pattern using numbers. What’s the smartest way to do it? What numbers of total spots can you make? Domino Sequences Age 5 to 7 Challenge Level: Eggs in Baskets Age 5 to 7 Nricg Level: In this town, houses are built with one room for each person. Daisy and Akram were making number patterns.

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? Dotty Six is a simple kx1 game that you can adapt in many ways.

Secret Number Age 5 to 7 Challenge Level: What was Annie’s secret number?

The idea is to change the colour of all the spots on the grid. Our Numbers Age 5 to 7 Challenge Level: Can you use the information given to find out how many eggs are in each basket? Number Detective Age 5 to 11 Challenge Level: Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd. How many trains can you make which are the same length as Matt’s, using rods that are identical?

What do you notice? Make one big triangle so the numbers that touch on the small triangles add to Use five steps to count forwards or backwards in 1s or 10s pdoblem get to Age 5 to 11 Challenge Level: Can you work out how to balance this equaliser?

Find all the numbers that can be made by adding the dots eolving two dice. Sweets are given out to party-goers in a particular way.

## Estimating, Comparing, Measuring KS1

Age 7 to 11 Conjecturing and Generalising at KS2 The tasks in this collection encourage upper primary children to conjecture and generalise. There are some families of seven people living in the town. Here solcing some arrangements of circles. Growing Garlic Age 5 to 7 Challenge Level: Age 7 to 11 Reasoning and Convincing at KS2 The tasks in this collection can be used to encourage children to convince others of their reasoning, by first convincing themselves, then a friend, then a ‘sceptic’.

A hundred square has been printed on both sides of a piece of paper. Exploring characteristics of everyday objects and shapes and describing them. What strategies did you use?