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Shaping it
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How tall?
A group of children are discussing the height of a tall tree. How would you go about finding out its height?
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Weighing fruit
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Watermelons
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Times
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The big cheese
Investigate the area of 'slices' cut off this cube of cheese. What would happen if you had different-sized block of cheese to start with?
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How many times?
On a digital 24 hour clock, at certain times, all the digits are consecutive. How many times like this are there between midnight and 7 a.m.?
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Numerically equal
Can you draw a square in which the perimeter is numerically equal to the area?
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Slow coach
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Oh! Harry!
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
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The time is ...
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Through the window
My local DIY shop calculates the price of its windows according to the area of glass and the length of frame used. Can you work out how they arrived at these prices?
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Wrapping presents
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Matching triangles
Can you sort these triangles into three different families and explain how you did it?
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A Cartesian puzzle
Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
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Nine-pin triangles
How many different triangles can you make on a circular pegboard that has nine pegs?
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Eight hidden squares
On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?
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Egyptian rope
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
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Cut nets
Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?
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ReflectoR ! RotcelfeR
Can you place the blocks so that you see the reflection in the picture?
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Olympic turns
This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.
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Symmetry challenge
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Alphabet blocks
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Odd times even
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Matching fractions, decimals and percentages
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The Deca Tree
Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
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Tables without tens
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Shape times shape
These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
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Tug harder!
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What do you need?
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Nice or nasty
There are nasty versions of this dice game but we'll start with the nice ones...
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Which would you rather?
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Multiply multiples 1
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Round the dice decimals 1
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
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Greater than or less than?
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Abundant numbers
48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?
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Cycling squares
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
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Andy's marbles
Andy had a big bag of marbles but unfortunately the bottom of it split and all the marbles spilled out. Use the information to find out how many there were in the bag originally.
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Diagonal sums
In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?
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Four go
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Number the sides
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Doughnut percents
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How much?
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Forgot the numbers
On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?
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Pumpkin pie problem
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?
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Twenty divided into six
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Reach 100
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
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Factor lines
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
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Probable words
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In the playground
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Graphing number patterns
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Three spinners
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The car that passes
What statements can you make about the car that passes the school gates at 11am on Monday? How will you come up with statements and test your ideas?
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The twelve pointed star game
Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?