List

Year 4 Working systematically

Four Triangles Puzzle
problem

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?
Zios and Zepts
problem

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?
Nine-Pin Triangles
problem

Nine-Pin Triangles

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

Torn Shapes

Age
7 to 11
Challenge level
filled star empty star empty star
These rectangles have been torn. How many squares did each one have inside it before it was ripped?
Coordinate Challenge
problem

Coordinate Challenge

Age
7 to 11
Challenge level
filled star empty star empty star
Use the clues about the symmetrical properties of these letters to place them on the grid.
Round the Dice Decimals 1
problem

Round the Dice Decimals 1

Age
7 to 11
Challenge level
filled star empty star empty star
Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?
Shapes on the Playground
problem

Shapes on the Playground

Age
7 to 11
Challenge level
filled star filled star empty star
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

Fractions in a Box

Age
7 to 11
Challenge level
filled star filled star empty star
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.
Light the Lights Again
problem

Light the Lights Again

Age
7 to 11
Challenge level
filled star filled star empty star
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?
Symmetry Challenge
problem

Symmetry Challenge

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