List

Building blocks of number

Factors and Multiples Game
game
Favourite

Factors and multiples game

Age
7 to 16
Challenge level
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A game in which players take it in turns to choose a number. Can you block your opponent?

What is Ziffle?
problem

What is ziffle?

Age
7 to 11
Challenge level
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Can you work out what a ziffle is on the planet Zargon?

Zios and Zepts
problem

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?

problem

Abundant numbers

Age
7 to 11
Challenge level
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48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

problem

Flashing lights

Age
7 to 11
Challenge level
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Norrie sees two lights flash at the same time, then one of them flashes every 4th second, and the other flashes every 5th second. How many times do they flash together during a whole minute?

problem

The moons of Vuvv

Age
7 to 11
Challenge level
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The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

problem

Multiplication squares

Age
7 to 11
Challenge level
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Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Music to my Ears
problem

Music to my ears

Age
7 to 11
Challenge level
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Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

What's in the Box?
problem

What's in the box?

Age
7 to 11
Challenge level
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This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?

problem

Round and round the circle

Age
7 to 11
Challenge level
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What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

Mystery Matrix
problem

Mystery matrix

Age
7 to 11
Challenge level
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Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

problem

Factor lines

Age
7 to 14
Challenge level
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Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

Multiples Grid
problem

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?

problem

Factor-multiple chains

Age
7 to 11
Challenge level
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Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

problem

Counting cogs

Age
7 to 14
Challenge level
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Which pairs of cogs let the coloured tooth touch every tooth on the other cog? Which pairs do not let this happen? Why?

Factor track
problem

Factor track

Age
7 to 11
Challenge level
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Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.