Resources tagged with Working systematically similar to Taking a Die for a Walk:
Other tags that relate to Taking a Die for a Walk
Addition & subtraction. Interlocking cubes. Area - squares and rectangles. Combinations. Working systematically. Dice. Describing Sequences. Practical Activity. Investigations. Patterned numbers.There are 321 results
Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically
Creating Cubes
Age 7 to 11 Challenge Level:
Arrange 9 red cubes, 9 blue cubes and 9 yellow cubes into a large 3 by 3 cube. No row or column of cubes must contain two cubes of the same colour.
Fencing Lambs
Age 7 to 11 Challenge Level:
A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
Dice Stairs
Age 7 to 11 Challenge Level:
Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?
Brush Loads
Age 7 to 11 Challenge Level:
How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.
Two Dice
Age 5 to 7 Challenge Level:
Find all the numbers that can be made by adding the dots on two dice.
Three Sets of Cubes, Two Surfaces
Age 7 to 11 Challenge Level:
How many models can you find which obey these rules?
Magazines
Age 7 to 11 Challenge Level:
Let's suppose that you are going to have a magazine which has 16 pages of A5 size. Can you find some different ways to make these pages? Investigate the pattern for each if you number the pages.
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?
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?
Stairs
Age 5 to 11 Challenge Level:
This challenge is to design different step arrangements, which must go along a distance of 6 on the steps and must end up at 6 high.
Cover the Tray
Age 7 to 11 Challenge Level:
These practical challenges are all about making a 'tray' and covering it with paper.
Four Colours
Age 5 to 11 Challenge Level:
Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.
2,4,6,8
Age 5 to 7 Challenge Level:
Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?
Whose Sandwich?
Age 5 to 7 Challenge Level:
Chandra, Jane, Terry and Harry ordered their lunches from the sandwich shop. Use the information below to find out who ordered each sandwich.
Multilink Cubes
Age 7 to 11 Challenge Level:
If you had 36 cubes, what different cuboids could you make?
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.
Roll These Dice
Age 7 to 11 Challenge Level:
Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?
Egyptian Rope
Age 7 to 11 Challenge Level:
The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?
Square Corners
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?
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?
Seven Flipped
Age 7 to 11 Challenge Level:
Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.
Ancient Runes
Age 7 to 11 Challenge Level:
The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?
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?
Counting Cards
Age 7 to 11 Challenge Level:
A magician took a suit of thirteen cards and held them in his hand face down. Every card he revealed had the same value as the one he had just finished spelling. How did this work?
Two by One
Age 7 to 11 Challenge Level:
An activity making various patterns with 2 x 1 rectangular tiles.
Family Tree
Age 7 to 11 Challenge Level:
Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.
Counters
Age 7 to 11 Challenge Level:
Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?
Routes 1 and 5
Age 5 to 7 Challenge Level:
Find your way through the grid starting at 2 and following these operations. What number do you end on?
The Third Dimension
Age 5 to 11 Challenge Level:
Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?
Making Boxes
Age 7 to 11 Challenge Level:
Cut differently-sized square corners from a square piece of paper to make boxes without lids. Do they all have the same volume?
Quadrilaterals
Age 7 to 11 Challenge Level:
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?
Dienes' Logiblocs
Age 5 to 7 Challenge Level:
This problem focuses on Dienes' Logiblocs. What is the same and what is different about these pairs of shapes? Can you describe the shapes in the picture?
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.
Pasta Timing
Age 7 to 11 Challenge Level:
Nina must cook some pasta for 15 minutes but she only has a 7-minute sand-timer and an 11-minute sand-timer. How can she use these timers to measure exactly 15 minutes?
Fake Gold
Age 7 to 11 Challenge Level:
A merchant brings four bars of gold to a jeweller. How can the jeweller use the scales just twice to identify the lighter, fake bar?
Numerically Equal
Age 7 to 11 Challenge Level:
Can you draw a square in which the perimeter is numerically equal to the area?
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?
Making Squares
Age 7 to 11
Investigate all the different squares you can make on this 5 by 5 grid by making your starting side go from the bottom left hand point. Can you find out the areas of all these squares?
A Bit of a Dicey Problem
Age 7 to 11 Challenge Level:
When you throw two regular, six-faced dice you have more chance of getting one particular result than any other. What result would that be? Why is this?
Whose Face?
Age 5 to 11 Challenge Level:
These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.
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?
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?
A City of Towers
Age 5 to 7 Challenge 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?
Tessellate the Triominoes
Age 5 to 7 Challenge Level:
What happens when you try and fit the triomino pieces into these two grids?
All Seated
Age 7 to 11 Challenge Level:
Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?
Polydron
Age 7 to 11 Challenge Level:
This activity investigates how you might make squares and pentominoes from Polydron.
NRICH is part of the family of activities in the Millennium Mathematics Project.