Other tags that relate to Button-up
Investigations. Multiplication & division. Addition & subtraction. Factors and multiples. Working systematically. Generalising. Practical Activity. Interactivities. Visualising. Combinations.There are 106 results
Broad Topics > Decision Mathematics and Combinatorics > Combinations
Briefcase Lock
Age 5 to 7
Challenge Level
My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?
Button-up
Age 5 to 7
Challenge Level
My coat has three buttons. How many ways can you find to do up all the buttons?
Ladybirds in the Garden
Age 5 to 7
Challenge 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?
Mixed-up Socks
Age 5 to 7
Challenge 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?
Jumping Cricket
Age 5 to 7
Challenge 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?
Red Express Train
Age 5 to 7
Challenge Level
The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?
The School Trip
Age 5 to 7
Challenge Level
Lorenzie was packing his bag for a school trip. He packed four shirts and three pairs of pants. "I will be able to have a different outfit each day", he said. How many days will Lorenzie be away?
More and More Buckets
Age 7 to 11
Challenge 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 7
Challenge 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?
Waiting for Blast Off
Age 7 to 11
Challenge 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?
Plates of Biscuits
Age 7 to 11
Challenge Level
Can you rearrange the biscuits on the plates so that the three biscuits on each plate are all different and there is no plate with two biscuits the same as two biscuits on another plate?
Two Dice
Age 5 to 7
Challenge Level
Find all the numbers that can be made by adding the dots on two dice.
Elf Suits
Age 7 to 11
Challenge Level
If these elves wear a different outfit every day for as many days as possible, how many days can their fun last?
Two on Five
Age 5 to 11
Challenge 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?
Room Doubling
Age 7 to 11
Challenge Level
Investigate the different ways you could split up these rooms so that you have double the number.
Bean Bags for Bernard's Bag
Age 7 to 11
Challenge 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?
Button-up Some More
Age 7 to 11
Challenge 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 11
Challenge 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?
Polo Square
Age 7 to 11
Challenge Level
Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.
Making Cuboids
Age 7 to 11
Challenge 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?
Halloween Investigation
Age 7 to 11
Challenge 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?
Team Scream
Age 7 to 11
Challenge Level
Seven friends went to a fun fair with lots of scary rides. They decided to pair up for rides until each friend had ridden once with each of the others. What was the total number rides?
Wag Worms
Age 7 to 11
Challenge 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.
Calcunos
Age 7 to 11
Challenge Level
If we had 16 light bars which digital numbers could we make? How will you know you've found them all?
Calendar Cubes
Age 7 to 11
Challenge Level
Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.
Chocs, Mints, Jellies
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?
Buying a Balloon
Age 7 to 11
Challenge 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?
Triangle Edges
Age 5 to 7
Challenge Level
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
Ice Cream
Age 7 to 11
Challenge 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.
It Figures
Age 7 to 11
Challenge Level
Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
Newspapers
Age 7 to 11
Challenge Level
When newspaper pages get separated at home we have to try to sort them out and get things in the correct order. How many ways can we arrange these pages so that the numbering may be different?
Street Party
Age 7 to 11
Challenge 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.
3 Blocks Towers
Age 5 to 7
Challenge Level
Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?
Four-triangle Arrangements
Age 5 to 7
Challenge Level
How many different shapes can you make by putting four right- angled isosceles triangles together?
Train Carriages
Age 5 to 11
Challenge Level
Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?
3 Rings
Age 7 to 11
Challenge Level
If you have three circular objects, you could arrange them so that they are separate, touching, overlapping or inside each other. Can you investigate all the different possibilities?
Home City
Age 7 to 11
Challenge Level
Use the clues to work out which cities Mohamed, Sheng, Tanya and Bharat live in.
Three by Three
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
Let's Investigate Triangles
Age 5 to 7
Challenge 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 Ball Line Up
Age 5 to 7
Challenge Level
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Homes
Age 5 to 7
Challenge Level
There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?
Map Folding
Age 7 to 11
Challenge 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?
Three Way Mix Up
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?
Penta Primes
Age 7 to 11
Challenge 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?
Delia's Routes
Age 7 to 11
Challenge 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?
Cereal Packets
Age 7 to 11
Challenge Level
How can you put five cereal packets together to make different shapes if you must put them face-to-face?
Triangle Animals
Age 5 to 7
Challenge Level
How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?
New House
Age 7 to 11
Challenge Level
In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
Tiles on a Patio
Age 7 to 11
Challenge Level
How many ways can you find of tiling the square patio, using square tiles of different sizes?
NRICH is part of the family of activities in the Millennium Mathematics Project.