List

Year 4 Conjecturing and generalising

Sorting Logic Blocks
problem

Sorting Logic Blocks

Age
5 to 11
Challenge level
filled star empty star empty star
This activity focuses on similarities and differences between shapes.
Zios and Zepts
problem

Zios and Zepts

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

Carrying Cards

Age
7 to 11
Challenge level
filled star empty star empty star
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?
Shape Times Shape
problem

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?
Nice or Nasty
problem

Nice or Nasty

Age
7 to 14
Challenge level
filled star empty star empty star
There are nasty versions of this dice game but we'll start with the nice ones...
Times Tables Shifts
problem

Times Tables Shifts

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

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

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?
Reasoned Rounding
problem

Reasoned Rounding

Age
7 to 14
Challenge level
filled star empty star empty star
Four strategy dice games to consolidate pupils' understanding of rounding.
Satisfying Four Statements
problem

Satisfying Four Statements

Age
7 to 11
Challenge level
filled star empty star empty star
Can you find any two-digit numbers that satisfy all of these statements?
Remainders
problem

Remainders

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

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?
Cut it Out
problem

Cut it Out

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