Other tags that relate to Last Biscuit
Working systematically. Addition & subtraction. Combinations. Mathematical reasoning & proof. Investigations. Theoretical probability. Permutations. Selecting and using information. Combinatorics. Describing patterns and sequences.There are 40 results
Broad Topics > Thinking Mathematically > Selecting and using information
Brailler
Age 11 to 14
Challenge Level
The machine I use to produce Braille messages is faulty and one of the pins that makes a raised dot is not working. I typed a short message in Braille. Can you work out what it really says?
Olympic Logic
Age 11 to 16
Challenge Level
Can you use your powers of logic and deduction to work out the missing information in these sporty situations?
Snowman
Age 14 to 16
Challenge Level
All the words in the Snowman language consist of exactly seven letters formed from the letters {s, no, wm, an). How many words are there in the Snowman language?
Bell Ringing
Age 11 to 14
Challenge Level
Suppose you are a bellringer. Can you find the changes so that, starting and ending with a round, all the 24 possible permutations are rung once each and only once?
Euromaths
Age 11 to 14
Challenge Level
How many ways can you write the word EUROMATHS by starting at the top left hand corner and taking the next letter by stepping one step down or one step to the right in a 5x5 array?
Quadruple Sudoku
Age 11 to 16
Challenge Level
Four small numbers give the clue to the contents of the four surrounding cells.
Twin Line-swapping Sudoku
Age 14 to 16
Challenge Level
A pair of Sudoku puzzles that together lead to a complete solution.
Children at Large
Age 11 to 14
Challenge Level
There are four children in a family, two girls, Kate and Sally, and two boys, Tom and Ben. How old are the children?
The Naked Pair in Sudoku
Age 7 to 16
A particular technique for solving Sudoku puzzles, known as "naked pair", is explained in this easy-to-read article.
Pattern of Islands
Age 11 to 14
Challenge Level
In how many distinct ways can six islands be joined by bridges so that each island can be reached from every other island...
Only Connect
Age 11 to 14
Challenge Level
The graph represents a salesman’s area of activity with the shops that the salesman must visit each day. What route around the shops has the minimum total distance?
Happy Octopus
Age 11 to 14
Challenge Level
This investigation is about happy numbers in the World of the Octopus where all numbers are written in base 8 ... Find all the fixed points and cycles for the happy number sequences in base 8.
Football Crazy Hockey Mad
Age 11 to 14
Challenge Level
In a league of 5 football teams which play in a round robin tournament show that it is possible for all five teams to be league leaders.
Pole Star Sudoku 2
Age 11 to 16
Challenge Level
This Sudoku, based on differences. Using the one clue number can you find the solution?
Difference Sudoku
Age 14 to 16
Challenge Level
Use the differences to find the solution to this Sudoku.
Penta Colour
Age 14 to 16
Challenge Level
In how many different ways can I colour the five edges of a pentagon red, blue and green so that no two adjacent edges are the same colour?
Eight Dominoes
Age 7 to 16
Challenge Level
Using the 8 dominoes make a square where each of the columns and rows adds up to 8
Medal Muddle
Age 11 to 14
Challenge Level
Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?
Not Necessarily in That Order
Age 11 to 14
Challenge Level
Baker, Cooper, Jones and Smith are four people whose occupations are teacher, welder, mechanic and programmer, but not necessarily in that order. What is each person’s occupation?
Score
Age 11 to 14
Challenge Level
There are exactly 3 ways to add 4 odd numbers to get 10. Find all the ways of adding 8 odd numbers to get 20. To be sure of getting all the solutions you will need to be systematic. What about. . . .
Flight of the Flibbins
Age 11 to 14
Challenge Level
Blue Flibbins are so jealous of their red partners that they will not leave them on their own with any other bue Flibbin. What is the quickest way of getting the five pairs of Flibbins safely to. . . .
A-maze-ing
Age 7 to 14
Did you know that ancient traditional mazes often tell a story? Remembering the story helps you to draw the maze.
X Marks the Spot
Age 11 to 14
Challenge Level
When the number x 1 x x x is multiplied by 417 this gives the answer 9 x x x 0 5 7. Find the missing digits, each of which is represented by an "x" .
Sweet Shop
Age 11 to 14
Challenge Level
Five children went into the sweet shop after school. There were choco bars, chews, mini eggs and lollypops, all costing under 50p. Suggest a way in which Nathan could spend all his money.
Divisively So
Age 11 to 14
Challenge Level
How many numbers less than 1000 are NOT divisible by either: a) 2 or 5; or b) 2, 5 or 7?
Four Coloured Lights
Age 11 to 14
Challenge Level
Imagine a machine with four coloured lights which respond to different rules. Can you find the smallest possible number which will make all four colours light up?
John's Train Is on Time
Age 11 to 14
Challenge Level
A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?
Top-heavy Pyramids
Age 11 to 14
Challenge Level
Use the numbers in the box below to make the base of a top-heavy pyramid whose top number is 200.
Problem Solving, Using and Applying and Functional Mathematics
Age 5 to 18
Challenge Level
Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.
Letter Land
Age 11 to 14
Challenge Level
If: A + C = A; F x D = F; B - G = G; A + H = E; B / H = G; E - G = F and A-H represent the numbers from 0 to 7 Find the values of A, B, C, D, E, F and H.
Back to the Practical?
Age 7 to 14
In this article for teachers, Bernard uses some problems to suggest that once a numerical pattern has been spotted from a practical starting point, going back to the practical can help explain. . . .
Inspector Morse
Age 11 to 14
Challenge Level
You may like to read the article on Morse code before attempting this question. Morse's letter analysis was done over 150 years ago, so might there be a better allocation of symbols today?
Cricket Ratings
Age 14 to 16
Like all sports rankings, the cricket ratings involve some maths. In this case, they use a mathematical technique known as exponential weighting. For those who want to know more, read on.
Approximating Pi
Age 14 to 18
Challenge Level
By inscribing a circle in a square and then a square in a circle find an approximation to pi. By using a hexagon, can you improve on the approximation?
Time to Evolve
Age 14 to 16
Challenge Level
How many generations would link an evolutionist to a very distant ancestor?
Carbon Footprints
Age 14 to 16
Challenge Level
Is it really greener to go on the bus, or to buy local?
Place Your Orders
Age 11 to 14
Challenge Level
Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
A Random Rambling Rant
Age 5 to 18
A random ramble for teachers through some resources that might add a little life to a statistics class.
How Would You Score It?
Age 11 to 14
Challenge Level
Invent a scoring system for a 'guess the weight' competition.
NRICH is part of the family of activities in the Millennium Mathematics Project.