Year 6 Being Collaborative

problem

First connect three

Age

7 to 11

Challenge level

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

problem

Birdwatch

Age

7 to 11

Challenge level

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

problem

Domino sets

Age

7 to 11

Challenge level

How do you know if your set of dominoes is complete?

problem

Shape draw

Age

7 to 11

Challenge level

Use the information on these cards to draw the shape that is being described.

problem

Always, sometimes or never? Number

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?

problem

The moons of Vuvv

Age

7 to 11

Challenge level

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

problem

Always, sometimes or never? Shape

Age

7 to 11

Challenge level

Are these statements always true, sometimes true or never true?

problem

Plenty of pens

Age

7 to 11

Challenge level

Amy's mum had given her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

problem

Would you rather?

Age

7 to 11

Challenge level

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

problem

Different deductions

Age

7 to 11

Challenge level

There are lots of different methods to find out what the shapes are worth - how many can you find?

problem

Cut nets

Age

7 to 11

Challenge level

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

problem

Factor-multiple chains

Age

7 to 11

Challenge level

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

problem

Next size up

Age

7 to 11

Challenge level

The challenge for you is to make a string of six (or more!) graded cubes.

problem

Doughnut percents

Age

7 to 14

Challenge level

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

problem

Counting cogs

Age

7 to 14

Challenge level

Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

problem

Making cuboids

Age

7 to 11

Challenge level

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

problem

Three neighbours

Age

7 to 14

Challenge level

Take three consecutive numbers and add them together. What do you notice?

problem

Pumpkin pie problem

Age

7 to 11

Challenge level

Peter wanted to make two pies for a party. His mother had a recipe for him to use. However, she always made 80 pies at a time. Did Peter have enough ingredients to make two pumpkin pies?