List

Year 4 Being Collaborative

Times Tables Shifts
problem
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Times Tables Shifts

Age
7 to 11
Challenge level
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In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Four Triangles Puzzle
problem
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Four Triangles Puzzle

Age
5 to 11
Challenge level
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Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?
Counters in the middle
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Counters in the middle

Age
7 to 11
Challenge level
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This task depends on groups working collaboratively, discussing and reasoning to agree a final product.
A Cartesian Puzzle
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A Cartesian Puzzle

Age
7 to 11
Challenge level
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Find the missing coordinates which will form these eight quadrilaterals. These coordinates themselves will then form a shape with rotational and line symmetry.
What shape?
problem
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What shape?

Age
7 to 14
Challenge level
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This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.
The Deca Tree
problem
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The Deca Tree

Age
7 to 11
Challenge level
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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.
Bryony's Triangle
problem
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Bryony's Triangle

Age
7 to 11
Challenge level
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Watch the video to see how to fold a square of paper to create a flower. What fraction of the piece of paper is the small triangle?

Fractional Triangles
problem
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Fractional Triangles

Age
7 to 11
Challenge level
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Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.

Discuss and Choose
problem
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Discuss and Choose

Age
5 to 11
Challenge level
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This activity challenges you to decide on the 'best' number to use in each statement. You may need to do some estimating, some calculating and some research.

How Big Are Classes 5, 6 and 7?
problem
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How Big Are Classes 5, 6 and 7?

Age
7 to 11
Challenge level
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Use the two sets of data to find out how many children there are in Classes 5, 6 and 7.

Let us divide!
problem
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Let us divide!

Age
7 to 11
Challenge level
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Look at different ways of dividing things. What do they mean? How might you show them in a picture, with things, with numbers and symbols?
Carrying Cards
problem
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Carrying Cards

Age
7 to 11
Challenge level
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These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?
Seeing Squares
problem
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Seeing Squares

Age
5 to 11
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Coordinate Challenge
problem
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Coordinate Challenge

Age
7 to 11
Challenge level
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Use the clues about the symmetrical properties of these letters to place them on the grid.
Representing Numbers
problem
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Representing Numbers

Age
7 to 11
Challenge level
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Find as many different ways of representing this number of dots as you can.
Seeing Parallelograms
problem
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Seeing Parallelograms

Age
7 to 11
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.
Shape Times Shape
problem
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Shape Times Shape

Age
7 to 11
Challenge level
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These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
Venn diagrams
problem
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Venn diagrams

Age
5 to 11
Challenge level
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How will you complete these interactive Venn diagrams?

Chocolate
problem
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Chocolate

Age
7 to 14
Challenge level
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There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time?

Table patterns go wild!
problem
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Table patterns go wild!

Age
7 to 11
Challenge level
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Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.
Fractions in a Box
problem
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Fractions in a Box

Age
7 to 11
Challenge level
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The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Remainders
problem
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Remainders

Age
7 to 14
Challenge level
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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
Quad match
problem
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Quad match

Age
7 to 11
Challenge level
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A task which depends on members of the group noticing the needs of others and responding.
Stringy Quads
problem
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Stringy Quads

Age
7 to 11
Challenge level
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This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!
What Distance?
problem
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What Distance?

Age
7 to 11
Challenge level
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Can you use addition and subtraction to answer these questions about real-life distances?

Multiples Grid
problem
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Multiples Grid

Age
7 to 11
Challenge level
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What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?
Eight hidden squares
problem
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Eight hidden squares

Age
7 to 14
Challenge level
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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?
ReflectoR ! RotcelfeR
problem
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ReflectoR ! RotcelfeR

Age
7 to 11
Challenge level
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Can you place the blocks so that you see the reflection in the picture?