List

Year 6 Exploring and noticing

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?
Treasure Hunt
problem

Treasure hunt

Age
7 to 14
Challenge level
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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Jumping
problem

Jumping

Age
7 to 11
Challenge level
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After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?

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?

Round the Four Dice
problem

Round the four dice

Age
7 to 11
Challenge level
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This activity involves rounding four-digit numbers to the nearest thousand.
Round the Three Dice
problem

Round the three dice

Age
7 to 11
Challenge level
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What happens when you round these three-digit numbers to the nearest 100?

Name That Triangle!
problem

Name that triangle!

Age
7 to 11
Challenge level
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Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

Dicey Operations
game
Favourite

More Dicey operations

Age
7 to 14
Challenge level
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In these multiplication and division games, you'll need to think strategically to get closest to the target.

Dicey Operations
game
Favourite

Dicey operations

Age
7 to 14
Challenge level
filled star empty star empty star

In these addition and subtraction games, you'll need to think strategically to get closest to the target.

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?

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.
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?

Three neighbours
problem

Three neighbours

Age
7 to 14
Challenge level
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Take three consecutive numbers and add them together. What do you notice?

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?

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?

problem

Round and round the circle

Age
7 to 11
Challenge level
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What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

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.
Sponge Sections
problem

Sponge sections

Age
7 to 11
Challenge level
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You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

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?

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?

Four Go
problem

Four go

Age
7 to 11
Challenge level
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This challenge is a game for two players. Choose two of the numbers to multiply or divide, then mark your answer on the number line. Can you get four in a row?
Fraction Fascination
problem

Fraction fascination

Age
7 to 11
Challenge level
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This problem challenges you to work out what fraction of the whole area of these pictures is taken up by various shapes.