List

Year 4 Conjecturing and Generalising

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?

Sorting Logic Blocks
problem
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Sorting Logic Blocks

Age
5 to 11
Challenge level
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This activity focuses on similarities and differences between shapes.

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.

Carrying Cards
problem
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Carrying Cards

Age
7 to 11
Challenge level
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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?
Fractional Wall
problem
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Fractional Wall

Age
7 to 11
Challenge level
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Using the picture of the fraction wall, can you find equivalent fractions?

Shape Times Shape
problem
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Shape Times Shape

Age
7 to 11
Challenge level
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These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?
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...
Times Tables Shifts
problem
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Times Tables Shifts

Age
7 to 11
Challenge level
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In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

What shape?
problem
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What shape?

Age
7 to 14
Challenge level
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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
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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.
Satisfying Four Statements
problem
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Satisfying Four Statements

Age
7 to 11
Challenge level
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Can you find any two-digit numbers that satisfy all of these statements?
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.

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?
Remainders
problem
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Remainders

Age
7 to 14
Challenge level
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I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?
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?

Chocolate
problem
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Chocolate

Age
7 to 14
Challenge level
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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?

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?