List

Year 4 Conjecturing and Generalising

Seeing Squares
problem
Favourite

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.

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.

Round the Dice Decimals 1
problem
Favourite

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
Favourite

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
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?
Carrying Cards
problem
Favourite

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
Favourite

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
Favourite

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.
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?

Remainders
problem
Favourite

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
Favourite

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?

Cut it Out
problem
Favourite

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?