Other tags that relate to What Do You Need?
Comparing and ordering numbers. Odd and even numbers. Divisibility. Generalising. Place value. Addition & subtraction. Working systematically. Mathematical reasoning & proof. Multiplication & division. Factors and multiples.There are 342 results
Broad Topics > Thinking Mathematically > Working systematically
A First Product Sudoku
Age 11 to 14
Challenge Level
Given the products of adjacent cells, can you complete this Sudoku?
Multiples Sudoku
Age 11 to 14
Challenge Level
Each clue in this Sudoku is the product of the two numbers in adjacent cells.
Gabriel's Problem
Age 11 to 14
Challenge Level
Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?
American Billions
Age 11 to 14
Challenge Level
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
Product Sudoku
Age 11 to 16
Challenge Level
The clues for this Sudoku are the product of the numbers in adjacent squares.
One to Fifteen
Age 7 to 11
Challenge Level
Can you put the numbers from 1 to 15 on the circles so that no consecutive numbers lie anywhere along a continuous straight line?
Take Three Numbers
Age 7 to 11
Challenge Level
What happens when you add three numbers together? Will your answer be odd or even? How do you know?
Mystery Matrix
Age 7 to 11
Challenge Level
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Two and Two
Age 11 to 16
Challenge Level
How many solutions can you find to this sum? Each of the different letters stands for a different number.
Integrated Product Sudoku
Age 11 to 16
Challenge Level
This Sudoku puzzle can be solved with the help of small clue-numbers on the border lines between pairs of neighbouring squares of the grid.
Star Product Sudoku
Age 11 to 16
Challenge Level
The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid.
Curious Number
Age 7 to 11
Challenge Level
Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?
Cayley
Age 11 to 14
Challenge Level
The letters in the following addition sum represent the digits 1 ... 9. If A=3 and D=2, what number is represented by "CAYLEY"?
Being Resourceful - Primary Number
Age 5 to 11
Challenge Level
Number problems at primary level that require careful consideration.
A Mixed-up Clock
Age 7 to 11
Challenge Level
There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?
Football Sum
Age 11 to 14
Challenge Level
Find the values of the nine letters in the sum: FOOT + BALL = GAME
Ones Only
Age 11 to 14
Challenge Level
Find the smallest whole number which, when mutiplied by 7, gives a product consisting entirely of ones.
Shopping Basket
Age 11 to 16
Challenge Level
The items in the shopping basket add and multiply to give the same amount. What could their prices be?
The Moons of Vuvv
Age 7 to 11
Challenge Level
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Peaches Today, Peaches Tomorrow...
Age 11 to 14
Challenge Level
A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?
Ben's Game
Age 11 to 16
Challenge Level
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Add to 200
Age 11 to 14
Challenge Level
By selecting digits for an addition grid, what targets can you make?
Multiply the Addition Square
Age 11 to 14
Challenge Level
If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
Alphabetti Sudoku
Age 11 to 16
Challenge Level
This Sudoku requires you to do some working backwards before working forwards.
Multiplication Squares
Age 7 to 11
Challenge Level
Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.
Diagonal Product Sudoku
Age 11 to 16
Challenge Level
Given the products of diagonally opposite cells - can you complete this Sudoku?
Greater Than or Less Than?
Age 7 to 11
Challenge Level
Use the numbers and symbols to make this number sentence correct. How many different ways can you find?
How Old Are the Children?
Age 11 to 14
Challenge Level
A student in a maths class was trying to get some information from her teacher. She was given some clues and then the teacher ended by saying, "Well, how old are they?"
Read This Page
Age 11 to 14
Challenge Level
Replace the letters with numbers to make the addition work out correctly. R E A D + T H I S = P A G E
Adding Plus
Age 7 to 11
Challenge Level
Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?
Neighbours
Age 7 to 11
Challenge Level
In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
ABC
Age 7 to 11
Challenge Level
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
Today's Date - 01/06/2009
Age 5 to 11
Challenge Level
What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
Number Daisy
Age 11 to 14
Challenge Level
Can you find six numbers to go in the Daisy from which you can make all the numbers from 1 to a number bigger than 25?
Trebling
Age 7 to 11
Challenge Level
Can you replace the letters with numbers? Is there only one solution in each case?
Neighbourly Addition
Age 7 to 14
Challenge Level
I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
Prison Cells
Age 7 to 11
Challenge Level
There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
Making Maths: Double-sided Magic Square
Age 7 to 14
Challenge Level
Make your own double-sided magic square. But can you complete both sides once you've made the pieces?
Magic Vs
Age 7 to 11
Challenge Level
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Seven Square Numbers
Age 7 to 11
Challenge Level
Add the sum of the squares of four numbers between 10 and 20 to the sum of the squares of three numbers less than 6 to make the square of another, larger, number.
The Puzzling Sweet Shop
Age 5 to 11
Challenge 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?
How Much Did it Cost?
Age 7 to 11
Challenge Level
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
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?
Dart Target
Age 7 to 11
Challenge Level
This task, written for the National Young Mathematicians' Award 2016, invites you to explore the different combinations of scores that you might get on these dart boards.
Reach 100
Age 7 to 14
Challenge Level
Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.
Cinema Problem
Age 11 to 14
Challenge Level
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
An Introduction to Magic Squares
Age 7 to 16
Find out about Magic Squares in this article written for students. Why are they magic?!
Zargon Glasses
Age 7 to 11
Challenge Level
Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
NRICH is part of the family of activities in the Millennium Mathematics Project.