# N rich problem solving year 3, patterns and sequences ks2 : birchsidestudios.com

Pebbles Age 7 to 11 Challenge Level: These pictures show squares split into halves. Play this game and see if you can figure out the computer's chosen number. Factor Lines Age 7 to 14 Challenge Level: Buying a Balloon Age 7 to 11 Challenge Level:

What happens if you join every second point on this circle? The idea of this game is to add or subtract the two numbers on the dice and cover the result on the grid, trying to get a line of three.

You need to highlight the structure of the chapter as you generally will do with all chapters and where the reader might find any further information e.

How about every third point? What happens when you enter different numbers? Perhaps you can overlap them or put one outside another?

Three players? How many cubes of each colour have we used?

- Can you make 15, 16 and 17 too?
- Problem Solving : birchsidestudios.com

The planet of Vuvv has seven moons. Curious Number Age 7 to 11 Challenge Level: Can you see how these factor-multiple chains work?

## Weekly Problems

This problem is designed to help children to learn, and to use, the two and three times tables. How Tall? You could try for different numbers and different rules. All the Digits Age 7 to 11 Challenge Level: Shaping It Age 5 to 11 Challenge Level: How fast would you have to throw a ball upwards so that it would never land?

## Welcome to the home of rich mathematics

Pick any ten numbers from the bags above so that their total is Age 7 to 11 These upper primary tasks all specifically draw on the use of visualising. What numbers could be inside the envelopes? Age 7 to 11 Challenge Level: You could try for different numbers and different rules.

Then we build around that red cube with blue cubes and so on. If you had a weight on the left-hand 7, where could you hang two weights on the right to make it balance? Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

They are each holding a card with a number on it. Factor track is not a race but a game of skill. What kind of number do you get?

Make a new heap using one from each of the heaps. Can you find the smallest number that lights up all four lights?

How many different squares can you make altogether? This challenge encourages you to explore dividing a three-digit number by a single-digit number.

Take a look at these data collected by children in as part of the Domesday Project. Make new patterns from simple turning instructions. Four Go Age 7 to 11 Challenge Level: Choose a symbol to put into the number sentence.

Lolla bought a balloon at the circus.

Factor Track Age 7 to 14 Challenge Level: Choose four different digits from and put one in each box so that the resulting four two-digit numbers add to a total of How could you put these three beads into bags? Try continuing these patterns made from triangles.

## Problem Solving

Look at different ways of dividing things. In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? Try with other numbers of cubes as well.

Can you make images which show the turnings described? Play this game and see if you can figure out the computer's chosen number. What do you think about the way they are presented? How many Zios and how many Zepts were there? Zios and Zepts Age 7 to 11 Challenge Level: Can you replace the letters with numbers?

This group consisted of Communists, monarchists, socialists, anarchists, and many of the common people such as peasants and factory workers

Which is quicker, counting up to 30 in ones or counting up to in tens? By repeating that process could the arrangement 7 - 1 - 1 - 1 ever turn up, except by starting with it?

Investigate this balance which is marked in halves.