# Resources tagged with: Combinations

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### There are 106 results

Broad Topics > Decision Mathematics and Combinatorics > Combinations

### Two and One

##### Age 5 to 7Challenge Level

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

### The Twelve Pointed Star Game

##### Age 7 to 11Challenge Level

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

### Three Ball Line Up

##### Age 5 to 7Challenge Level

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

### Polydron

##### Age 7 to 11Challenge Level

This activity investigates how you might make squares and pentominoes from Polydron.

### Chocs, Mints, Jellies

##### Age 7 to 11Challenge 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?

### Wag Worms

##### Age 7 to 11Challenge Level

When intergalactic Wag Worms are born they look just like a cube. Each year they grow another cube in any direction. Find all the shapes that five-year-old Wag Worms can be.

### A Rod and a Pole

##### Age 7 to 11Challenge Level

A lady has a steel rod and a wooden pole and she knows the length of each. How can she measure out an 8 unit piece of pole?

### Map Folding

##### Age 7 to 11Challenge Level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?

### The Puzzling Sweet Shop

##### Age 5 to 11Challenge Level

There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?

### Six Is the Sum

##### Age 7 to 11Challenge Level

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

### Delia's Routes

##### Age 7 to 11Challenge Level

A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?

### Calendar Cubes

##### Age 7 to 11Challenge Level

Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.

### Triangle Animals

##### Age 5 to 7Challenge Level

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

### Tetrahedron Faces

##### Age 7 to 11Challenge Level

One face of a regular tetrahedron is painted blue and each of the remaining faces are painted using one of the colours red, green or yellow. How many different possibilities are there?

### Super Value Shapes

##### Age 7 to 11Challenge Level

If each of these three shapes has a value, can you find the totals of the combinations? Perhaps you can use the shapes to make the given totals?

### Rod Measures

##### Age 7 to 11Challenge Level

Using 3 rods of integer lengths, none longer than 10 units and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units. How many ways can you do this?

### Number Round Up

##### Age 5 to 7Challenge Level

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

### Polo Square

##### Age 7 to 11Challenge Level

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.

##### Age 7 to 11Challenge Level

Lolla bought a balloon at the circus. She gave the clown six coins to pay for it. What could Lolla have paid for the balloon?

### Two Egg Timers

##### Age 7 to 11Challenge Level

You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?

### Jumping Cricket

##### Age 5 to 7Challenge Level

El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?

### Magic Triangle

##### Age 7 to 11Challenge Level

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.

### Calcunos

##### Age 7 to 11Challenge Level

If we had 16 light bars which digital numbers could we make? How will you know you've found them all?

### Mixed-up Socks

##### Age 5 to 7Challenge Level

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

### Halloween Investigation

##### Age 7 to 11Challenge Level

Ana and Ross looked in a trunk in the attic. They found old cloaks and gowns, hats and masks. How many possible costumes could they make?

### Teddy Town

##### Age 5 to 14Challenge Level

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

### Penta Primes

##### Age 7 to 11Challenge Level

Using all ten cards from 0 to 9, rearrange them to make five prime numbers. Can you find any other ways of doing it?

### Penta Post

##### Age 7 to 11Challenge Level

Here are the prices for 1st and 2nd class mail within the UK. You have an unlimited number of each of these stamps. Which stamps would you need to post a parcel weighing 825g?

### Finding Fifteen

##### Age 7 to 11Challenge Level

Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

### More Children and Plants

##### Age 7 to 14Challenge Level

This challenge extends the Plants investigation so now four or more children are involved.

### Those Tea Cups

##### Age 7 to 11Challenge Level

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.

### Button-up Some More

##### Age 7 to 11Challenge Level

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

### Button-up

##### Age 5 to 7Challenge Level

My coat has three buttons. How many ways can you find to do up all the buttons?

### More and More Buckets

##### Age 7 to 11Challenge Level

In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?

### Nineteen Hexagons

##### Age 5 to 7Challenge Level

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?

### Cuisenaire Counting

##### Age 5 to 7Challenge Level

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

### Butterfly Cards

##### Age 7 to 11Challenge Level

Four children were sharing a set of twenty-four butterfly cards. Are there any cards they all want? Are there any that none of them want?

### The Money Maze

##### Age 7 to 11Challenge Level

Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?

### Triangle Edges

##### Age 5 to 7Challenge Level

How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?

### Snakes

##### Age 5 to 7Challenge Level

Explore the different snakes that can be made using 5 cubes.

### Robot Monsters

##### Age 5 to 7Challenge Level

Use these head, body and leg pieces to make Robot Monsters which are different heights.

### Here to There 1 2 3

##### Age 5 to 7Challenge Level

Move from the START to the FINISH by moving across or down to the next square. Can you find a route to make these totals?

### Semaphore Signals

##### Age 7 to 11Challenge Level

Semaphore is a way to signal the alphabet using two flags. You might want to send a message that contains more than just letters. How many other symbols could you send using this code?

### What Shape and Colour?

##### Age 5 to 7Challenge Level

Can you fill in the empty boxes in the grid with the right shape and colour?

### Tiles on a Patio

##### Age 7 to 11Challenge Level

How many ways can you find of tiling the square patio, using square tiles of different sizes?

### Fair Exchange

##### Age 5 to 7Challenge Level

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

### Chocoholics

##### Age 7 to 11Challenge Level

George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?

### Cat Food

##### Age 7 to 11Challenge Level

Sam sets up displays of cat food in his shop in triangular stacks. If Felix buys some, then how can Sam arrange the remaining cans in triangular stacks?

### Cereal Packets

##### Age 7 to 11Challenge Level

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

### Break it Up!

##### Age 5 to 11Challenge Level

In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.