List

Year 4 Exploring and Noticing

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?

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.

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.

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?
Let Us Reflect
problem
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Let Us Reflect

Age
7 to 11
Challenge level
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Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

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.

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.

Four-digit targets
problem
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Four-digit targets

Age
7 to 11
Challenge level
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You have two sets of the digits 0-9. Can you arrange these in the five boxes to make four-digit numbers as close to the target numbers as possible?
Nice or Nasty
problem
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Nice or Nasty

Age
7 to 14
Challenge level
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There are nasty versions of this dice game but we'll start with the nice ones...
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?

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?

Reasoned Rounding
problem
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Reasoned Rounding

Age
7 to 14
Challenge level
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Four strategy dice games to consolidate pupils' understanding of rounding.
Count Me In
problem
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Count Me In

Age
7 to 11
Challenge level
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How do you know whether you will reach these numbers when you count in steps of six from zero?

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.

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.

Take your Dog for a Walk
problem
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Take your Dog for a Walk

Age
7 to 11
Challenge level
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Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

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?

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.
Cut it Out
problem
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Cut it Out

Age
7 to 11
Challenge level
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Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

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?