# Resources tagged with: Combinations

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### There are 106 results

Broad Topics > Decision Mathematics and Combinatorics > Combinations

### Triangle Edges

##### Age 5 to 7Challenge Level

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

### 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?

### 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?

### 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?

### Waiting for Blast Off

##### Age 7 to 11Challenge Level

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?

### 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.

### 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?

### 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?

### 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?

### Let's Investigate Triangles

##### Age 5 to 7Challenge Level

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

### Three Way Mix Up

##### Age 5 to 11Challenge 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?

### A City of Towers

##### Age 5 to 7Challenge Level

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

### 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?

### Noah

##### Age 5 to 7Challenge Level

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

### Button-up

##### Age 5 to 7Challenge Level

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

### 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 ...?

### Sweets in a Box

##### Age 7 to 11Challenge Level

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

### Making Cuboids

##### Age 7 to 11Challenge Level

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

### Snakes

##### Age 5 to 7Challenge Level

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

### Tea Cups

##### Age 7 to 14Challenge 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.

### Bean Bags for Bernard's Bag

##### Age 7 to 11Challenge Level

How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

### 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?

### 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?

### Ice Cream

##### Age 7 to 11Challenge Level

You cannot choose a selection of ice cream flavours that includes totally what someone has already chosen. Have a go and find all the different ways in which seven children can have ice cream.

### 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?

##### 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?

### Polydron

##### Age 7 to 11Challenge Level

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

### 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.

### 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?

### 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?

### 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.

### Room Doubling

##### Age 7 to 11Challenge Level

Investigate the different ways you could split up these rooms so that you have double the number.

### 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.

### 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?

### 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?

### 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?

### 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?

### 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?

### 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?

### 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?

### More Children and Plants

##### Age 7 to 14Challenge Level

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

##### Age 7 to 11Challenge Level

If you had 36 cubes, what different cuboids could you make?

### Penta Place

##### Age 7 to 11Challenge Level

Penta people, the Pentominoes, always build their houses from five square rooms. I wonder how many different Penta homes you can create?

### Two on Five

##### Age 5 to 11Challenge Level

Take 5 cubes of one colour and 2 of another colour. How many different ways can you join them if the 5 must touch the table and the 2 must not touch the table?

### Three by Three

##### Age 5 to 11Challenge 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

### Child's Play

##### Age 7 to 11Challenge Level

A toy has a regular tetrahedron, a cube and a base with triangular and square hollows. If you fit a shape into the correct hollow a bell rings. How many times does the bell ring in a complete game?

### Home City

##### Age 7 to 11Challenge Level

Use the clues to work out which cities Mohamed, Sheng, Tanya and Bharat live in.

##### Age 5 to 7Challenge Level

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

### Four-triangle Arrangements

##### Age 5 to 7Challenge Level

How many different shapes can you make by putting four right- angled isosceles triangles together?

### Street Party

##### Age 7 to 11Challenge Level

The challenge here is to find as many routes as you can for a fence to go so that this town is divided up into two halves, each with 8 blocks.