### PROBLEM SOLVING ACTIVITIES KS2 NRICH

You could try for different numbers and different rules. Age 5 to 7 Challenge Level: Use 4 four times with simple operations so that you get the answer Can you make square numbers by adding two prime numbers together? Can you complete this calculation by filling in the missing numbers?

How far have these students walked by the time the teacher’s car reaches them after their bus broke down? Can you work out the missing numbers? Then we build around that red cube with blue cubes and so on. Can you use the information to find out which cards I have used? Pick any ten numbers from the bags above so that their total is

## Working Systematically at KS2

Use the ‘double-3 down’ dominoes to make a square so that each side has eight dots. Can you put the numbers 1 to 8 into the circles so that the four calculations are correct? Can you complete this calculation by filling in the missing numbers?

Two Clocks Age 7 to 11 Challenge Level: Four on the Road Age 14 to 16 Challenge Level: Can you find the smallest number that lights up all four lights? Making Boxes Age 7 to 11 Challenge Level: These lower primary tasks all specifically draw on the use of visualising.

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. Activitoes could you put activitids three beads into bags? How Do You Do It? Through the Window Age 7 to 11 Challenge Level: Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.

This challenge is a game for two players. This problem is designed to help children to learn, and to actifities, the two and three times tables. Have you ever wondered what it would be like to race against Usain Bolt?

Flashing Lights Age 7 to 11 Challenge Level: 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?

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Amy’s Dominoes Age 7 to 11 Challenge Level: Age 7 to 11 Challenge Level: What could the half time scores have been in solvnig Olympic hockey matches?

# Measuring and calculating with units :: Length/distance :

All 5 to 11 7 to 14 11 to 16 14 to 18 Challenge level: How far and in what direction must he travel to get back to his base? Try with different steps and see if you can predict what will happen.

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. How many different shaped boxes can you design for 36 sweets in one layer? What do the numbers shaded in blue on this hundred square have in common?

In this version of the story of the hare and the tortoise, the race is 10 kilometres long. Can you complete this jigsaw of the multiplication square?

What could the half time scores have been in these Olympic hockey matches? Can you create a story that would describe the movement of the man shown on these graphs? Look at three ‘next door neighbours’ amongst the counting numbers.

Swap them around and see if you can find a combination where every measurement is valid. Use the information to work out what time the real time they arrived at the airport.