List

Year 6 Being Collaborative

First Connect Three
problem
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First Connect Three

Age
7 to 11
Challenge level
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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?
Birdwatch
problem
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Birdwatch

Age
7 to 11
Challenge level
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Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

Domino sets
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Domino sets

Age
7 to 11
Challenge level
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How do you know if your set of dominoes is complete?

Shape Draw
problem
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Shape Draw

Age
7 to 11
Challenge level
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Use the information on these cards to draw the shape that is being described.
The Moons of Vuvv
problem
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The Moons of Vuvv

Age
7 to 11
Challenge level
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The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Plenty of Pens
problem
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Plenty of Pens

Age
7 to 11
Challenge level
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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?

Would You Rather?
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Would You Rather?

Age
7 to 11
Challenge level
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Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

Cut Nets
problem
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Cut Nets

Age
7 to 11
Challenge level
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Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
Factor-Multiple Chains
problem
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Factor-Multiple Chains

Age
7 to 11
Challenge level
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Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Next size up
problem
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Next size up

Age
7 to 11
Challenge level
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The challenge for you is to make a string of six (or more!) graded cubes.

Doughnut percents
problem
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Doughnut percents

Age
7 to 14
Challenge level
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A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
Counting Cogs
problem
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Counting Cogs

Age
7 to 14
Challenge level
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Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?
Making Cuboids
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Making Cuboids

Age
7 to 11
Challenge level
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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?
Pumpkin Pie Problem
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Pumpkin Pie Problem

Age
7 to 11
Challenge level
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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?

Mystery Matrix
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Mystery Matrix

Age
7 to 11
Challenge level
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Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Price Match
problem
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Price Match

Age
7 to 11
Challenge level
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Can you find pairs of differently sized windows that cost the same?

Number Lines in Disguise
problem
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Number Lines in Disguise

Age
7 to 14
Challenge level
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Some of the numbers have fallen off Becky's number line. Can you figure out what they were?
Different Deductions
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Different Deductions

Age
7 to 11
Challenge level
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There are lots of different methods to find out what the shapes are worth - how many can you find?

Factor Lines
problem
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Factor Lines

Age
7 to 14
Challenge level
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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Ten Hidden Squares
problem
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Ten Hidden Squares

Age
7 to 14
Challenge level
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These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?
Two and Two
problem
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Two and Two

Age
7 to 16
Challenge level
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How many solutions can you find to this sum? Each of the different letters stands for a different number.

Quadrilaterals
problem
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Quadrilaterals

Age
7 to 11
Challenge level
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How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Finding 3D Stacks
problem
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Finding 3D Stacks

Age
7 to 11
Challenge level
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Can you find a way of counting the spheres in these arrangements?