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Mathematics Tools > Counters

##### Age 5 to 11 Challenge Level:

Arrange 3 red, 3 blue and 3 yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column

##### Age 7 to 11 Challenge Level:

Place eight dots on this diagram, so that there are only two dots
on each straight line and only two dots on each circle.

##### Age 7 to 11 Challenge Level:

Place eight queens on an chessboard (an 8 by 8 grid) so that none
can capture any of the others.

##### Age 7 to 11 Challenge Level:

In a bowl there are 4 Chocolates, 3 Jellies and 5 Mints. Find a way
to share the sweets between the three children so they each get the
kind they like. Is there more than one way to do it?

##### Age 7 to 11 Challenge Level:

Put 10 counters in a row. Find a way to arrange the counters into
five pairs, evenly spaced in a row, in just 5 moves, using the
rules.

##### Age 5 to 11 Challenge Level:

Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?

##### Age 7 to 11 Challenge Level:

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

##### Age 7 to 11 Short Challenge Level:

Rocco ran in a 200 m race for his class. Use the information to
find out how many runners there were in the race and what Rocco's
finishing position was.

##### Age 7 to 11 Challenge Level:

Here are some ideas to try in the classroom for using counters to investigate number patterns.

##### Age 7 to 11 Challenge Level:

The game uses a 3x3 square board. 2 players take turns to play,
either placing a red on an empty square, or changing a red to
orange, or orange to green. The player who forms 3 of 1 colour in a
line. . . .

##### Age 7 to 11 Challenge Level:

Take a counter and surround it by a ring of other counters that
MUST touch two others. How many are needed?

##### Age 7 to 11 Challenge Level:

A fun game for two. You'll need some counters.

##### Age 7 to 11 Challenge Level:

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

##### Age 7 to 11 Challenge Level:

Can you deduce the pattern that has been used to lay out these
bottle tops?

##### Age 7 to 11 Challenge Level:

Use the ratio of cashew nuts to peanuts to find out how many
peanuts Rachel has. What would the ratio be if Rachel and Marianne
mixed their bags?

##### Age 7 to 14 Challenge Level:

A game for 2 players. Can be played online. One player has 1 red
counter, the other has 4 blue. The red counter needs to reach the
other side, and the blue needs to trap the red.

##### Age 5 to 11

An article for teachers which first appeared in the MA's Equals journal, featuring activities which use counters.