Year 4 Conjecturing and generalising

problem

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Venn diagrams

Age

5 to 11

Challenge level

How will you complete these interactive Venn diagrams?

problem

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Sorting Logic Blocks

Age

5 to 11

Challenge level

This activity focuses on similarities and differences between shapes.

problem

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Zios and Zepts

Age

7 to 11

Challenge level

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?

problem

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Carrying Cards

Age

7 to 11

Challenge level

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?

problem

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Fractional Wall

Age

7 to 11

Challenge level

Using the picture of the fraction wall, can you find equivalent fractions?

problem

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Shape Times Shape

Age

7 to 11

Challenge level

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

problem

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Nice or Nasty

Age

7 to 14

Challenge level

There are nasty versions of this dice game but we'll start with the nice ones...

problem

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Times Tables Shifts

Age

7 to 11

Challenge level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

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What shape?

Age

7 to 14

Challenge level

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.

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Round the Dice Decimals 1

Age

7 to 11

Challenge level

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

problem

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Reasoned Rounding

Age

7 to 14

Challenge level

Four strategy dice games to consolidate pupils' understanding of rounding.

problem

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Satisfying Four Statements

Age

7 to 11

Challenge level

Can you find any two-digit numbers that satisfy all of these statements?

game

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The Remainders Game

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

game

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Dicey Operations in Line

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

problem

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Remainders

Age

7 to 14

Challenge level

I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

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Light the Lights Again

Age

7 to 11

Challenge level

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?

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Chocolate

Age

7 to 14

Challenge level

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?

problem

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Cut it Out

Age

7 to 11

Challenge level

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?

Or search by topic

Number and algebra

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Advanced mathematics

For younger learners

Year 4 Conjecturing and Generalising

Venn diagrams

Sorting Logic Blocks

Zios and Zepts

Carrying Cards

Fractional Wall

Shape Times Shape

Nice or Nasty

Times Tables Shifts

What shape?

Round the Dice Decimals 1

Reasoned Rounding

Satisfying Four Statements

The Remainders Game

Dicey Operations in Line

Remainders

Light the Lights Again

Chocolate

Cut it Out