Resources tagged with: Addition & subtraction

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Got it for Two

Age 7 to 14Challenge Level

Got It game for an adult and child. How can you play so that you know you will always win?

Consecutive Negative Numbers

Age 11 to 14Challenge Level

Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?

Sticky Dice

Age 7 to 11Challenge Level

Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?

Aba

Age 11 to 14Challenge Level

In the following sum the letters A, B, C, D, E and F stand for six distinct digits. Find all the ways of replacing the letters with digits so that the arithmetic is correct.

Scoring with Dice

Age 7 to 11Challenge Level

I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?

Eleven

Age 11 to 14Challenge Level

Replace each letter with a digit to make this addition correct.

Crossed Ends

Age 11 to 14Challenge Level

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

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?

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?

Open Squares

Age 7 to 11Challenge Level

This task, written for the National Young Mathematicians' Award 2016, focuses on 'open squares'. What would the next five open squares look like?

Magic Squares for Special Occasions

Age 11 to 16

This article explains how to make your own magic square to mark a special occasion with the special date of your choice on the top line.

Age 11 to 14Challenge Level

Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some. . . .

The Dice Train

Age 7 to 11Challenge Level

This dice train has been made using specific rules. How many different trains can you make?

Alphabetti Sudoku

Age 11 to 16Challenge Level

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

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?

Have You Got It?

Age 11 to 14Challenge Level

Can you explain the strategy for winning this game with any target?

Charitable Pennies

Age 7 to 14Challenge Level

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

Amazing Card Trick

Age 11 to 14Challenge Level

How is it possible to predict the card?

Pole Star Sudoku 2

Age 11 to 16Challenge Level

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

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?

Being Resilient - Primary Number

Age 5 to 11Challenge Level

Number problems at primary level that may require resilience.

Being Collaborative - Primary Number

Age 5 to 11Challenge Level

Number problems at primary level to work on with others.

Tug Harder!

Age 7 to 11Challenge Level

In this game, you can add, subtract, multiply or divide the numbers on the dice. Which will you do so that you get to the end of the number line first?

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?

Up, Down, Flying Around

Age 11 to 14Challenge Level

Play this game to learn about adding and subtracting positive and negative numbers

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 Maths: Be a Mathemagician

Age 7 to 11Challenge Level

Surprise your friends with this magic square trick.

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?

Diagonal in a Spiral

Age 7 to 11Challenge Level

Investigate the totals you get when adding numbers on the diagonal of this pattern in threes.

Six Is the Sum

Age 7 to 11Challenge Level

What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?

Largest Number

Age 11 to 14Challenge Level

What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.

Page Numbers

Age 7 to 11 ShortChallenge Level

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

Cows and Sheep

Age 7 to 11Challenge Level

Use your logical reasoning to work out how many cows and how many sheep there are in each field.

Making a Difference

Age 11 to 14Challenge Level

How many different differences can you make?

Age 7 to 11Challenge Level

Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.

Asteroid Blast

Age 7 to 11Challenge Level

A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.

Zios and Zepts

Age 7 to 11Challenge Level

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Bean Bags for Bernard's Bag

Age 7 to 11Challenge 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?

Age 7 to 11Challenge Level

Three dice are placed in a row. Find a way to turn each one so that the three numbers on top of the dice total the same as the three numbers on the front of the dice. Can you find all the ways to do. . . .

Zargon Glasses

Age 7 to 11Challenge 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?

Got it Article

Age 7 to 14

This article gives you a few ideas for understanding the Got It! game and how you might find a winning strategy.

Polo Square

Age 7 to 11Challenge Level

Arrange eight of the numbers between 1 and 9 in the Polo Square below so that each side adds to the same total.

Weights

Age 11 to 14Challenge Level

Different combinations of the weights available allow you to make different totals. Which totals can you make?

Arrange the Digits

Age 11 to 14Challenge Level

Can you arrange the digits 1,2,3,4,5,6,7,8,9 into three 3-digit numbers such that their total is close to 1500?

Hubble, Bubble

Age 7 to 11Challenge Level

Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?

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?

Number Pyramids

Age 11 to 14Challenge Level

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

All Seated

Age 7 to 11Challenge 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?