Resources tagged with: Working systematically

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Broad Topics > Thinking Mathematically > Working systematically

A First Product Sudoku

Age 11 to 14Challenge Level

Given the products of adjacent cells, can you complete this Sudoku?

Multiples Sudoku

Age 11 to 14Challenge Level

Each clue in this Sudoku is the product of the two numbers in adjacent cells.

Gabriel's Problem

Age 11 to 14Challenge Level

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

American Billions

Age 11 to 14Challenge 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 16Challenge Level

The clues for this Sudoku are the product of the numbers in adjacent squares.

One to Fifteen

Age 7 to 11Challenge 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 11Challenge 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 11Challenge 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 16Challenge Level

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Number Detective

Age 5 to 11Challenge Level

Follow the clues to find the mystery number.

Integrated Product Sudoku

Age 11 to 16Challenge 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 16Challenge 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 11Challenge 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 14Challenge 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 11Challenge Level

Number problems at primary level that require careful consideration.

A Mixed-up Clock

Age 7 to 11Challenge 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 14Challenge Level

Find the values of the nine letters in the sum: FOOT + BALL = GAME

Ones Only

Age 11 to 14Challenge Level

Find the smallest whole number which, when mutiplied by 7, gives a product consisting entirely of ones.

Age 11 to 16Challenge 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 11Challenge 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 14Challenge 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 16Challenge Level

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

Age 11 to 14Challenge Level

By selecting digits for an addition grid, what targets can you make?

Age 11 to 14Challenge 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 16Challenge Level

This Sudoku requires you to do some working backwards before working forwards.

Multiplication Squares

Age 7 to 11Challenge 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 16Challenge Level

Given the products of diagonally opposite cells - can you complete this Sudoku?

Greater Than or Less Than?

Age 7 to 11Challenge 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 14Challenge 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?"

Age 11 to 14Challenge 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

Age 7 to 11Challenge 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 11Challenge 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 11Challenge 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 11Challenge 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 14Challenge 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 11Challenge Level

Can you replace the letters with numbers? Is there only one solution in each case?

Age 7 to 14Challenge Level

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

Prison Cells

Age 7 to 11Challenge 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 14Challenge 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 11Challenge 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 11Challenge 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 11Challenge 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 11Challenge 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 16Challenge Level

This Sudoku, based on differences. Using the one clue number can you find the solution?

Dart Target

Age 7 to 11Challenge 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.

Making a Difference

Age 11 to 14Challenge Level

How many different differences can you make?

Reach 100

Age 7 to 14Challenge 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 14Challenge 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.