List

Year 4 Working systematically

Seeing Squares
problem
Favourite

Seeing squares

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

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.

Four Triangles Puzzle
problem
Favourite

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?

Nine-Pin Triangles
problem
Favourite

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
Favourite

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
Favourite

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.
Shape Times Shape
problem
Favourite

Shape times shape

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

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

What shape?
problem
Favourite

What shape?

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

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.

Round the Dice Decimals 1
problem
Favourite

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?

Seeing Parallelograms
problem
Favourite

Seeing parallelograms

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

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.

The Remainders Game
game
Favourite

The remainders game

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

Zios and Zepts
problem
Favourite

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
Favourite

Fractional triangles

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

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

Eight hidden squares
problem
Favourite

Eight hidden squares

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

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?

Light the Lights Again
problem
Favourite

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?

Chocolate
problem
Favourite

Chocolate

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

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?

Shapes on the Playground
problem
Favourite

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
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.

Andy's Marbles
problem
Favourite

Andy's marbles

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

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
filled star filled star filled star
How many symmetric designs can you make on this grid? Can you find them all?