List

Year 6 Being Collaborative

Would You Rather?
problem

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?
First Connect Three
problem

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

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
problem

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

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

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

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?
Number Lines in Disguise
problem

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
problem

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

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.
Cut Nets
problem

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

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

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

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

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
problem

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
problem

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
problem

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

Price Match

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

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

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

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

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?