List

Year 4 Working Systematically

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?
Round the Dice Decimals 1
problem
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Round the Dice Decimals 1

Age
7 to 11
Challenge level
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Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

The Remainders Game
game
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The Remainders Game

Play this game and see if you can figure out the computer's chosen number.

Zios and Zepts
problem
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Zios and Zepts

Age
7 to 11
Challenge level
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On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?
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.

Nine-Pin Triangles
problem
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Nine-Pin Triangles

Age
7 to 11
Challenge level
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How many different triangles can you make on a circular pegboard that has nine pegs?
Torn Shapes
problem
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Torn Shapes

Age
7 to 11
Challenge level
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These rectangles have been torn. How many squares did each one have inside it before it was ripped?
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.
Light the Lights Again
problem
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Light the Lights Again

Age
7 to 11
Challenge level
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Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

Shapes on the Playground
problem
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Shapes on the Playground

Age
7 to 11
Challenge level
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Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?
Fractions in a Box
problem
Favourite

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.

Andy's Marbles
problem
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Andy's Marbles

Age
7 to 11
Challenge level
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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.

Symmetry Challenge
problem
Favourite

Symmetry Challenge

Age
7 to 11
Challenge level
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How many symmetric designs can you make on this grid? Can you find them all?