Exploring and noticing

problem

St Ives

Age

7 to 14

Challenge level

2 out of 3

How many were going to St Ives?
problem

Tea Cups

Age

7 to 14

Challenge level

3 out of 3

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.
problem

Steps to the Podium

Age

7 to 14

Challenge level

3 out of 3

It starts quite simple but great opportunities for number discoveries and patterns!
problem

Calendar Capers

Age

11 to 14

Challenge level

1 out of 3

Choose any three by three square of dates on a calendar page...
problem

Royal Arm Wrestling

Age

11 to 14

Challenge level

1 out of 3

How many arm-wrestles will there be in the royal arm wrestling championship?
problem

Suit Sequence

Age

11 to 14

Challenge level

1 out of 3

A pattern repeats every six symbols. What are the 100th and 101st symbols?
problem

3388

Age

11 to 14

Challenge level

2 out of 3

Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.
problem

Out of Sync

Age

11 to 14

Challenge level

2 out of 3

Albert Einstein could see two clocks which were out of sync. For what fraction of the day did they show the same time?
problem

Four Coloured Lights

Age

11 to 14

Challenge level

2 out of 3

Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up?
problem

Take a Leaf

Age

11 to 14

Challenge level

2 out of 3

An examination paper is made from five pieces of paper. What is the sum of the other page numbers that appear on the same sheet as page 5?