Resources tagged with: Addition & subtraction

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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?

Sums and Differences 2

Age 7 to 11Challenge Level

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?

Age 5 to 11Challenge Level

Place six toy ladybirds into the box so that there are two ladybirds in every column and every row.

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. . . .

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?

First Connect Three for Two

Age 7 to 11Challenge Level

First Connect Three game for an adult and child. Use the dice numbers and either addition or subtraction to get three numbers in a straight line.

Rod Measures

Age 7 to 11Challenge Level

Using 3 rods of integer lengths, none longer than 10 units and not using any rod more than once, you can measure all the lengths in whole units from 1 to 10 units. How many ways can you do this?

The Dice Train

Age 7 to 11Challenge Level

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

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?

Sums and Differences 1

Age 7 to 11Challenge Level

This challenge focuses on finding the sum and difference of pairs of two-digit numbers.

Two Egg Timers

Age 7 to 11Challenge Level

You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?

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?

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?

Dodecamagic

Age 7 to 11Challenge Level

Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?

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?

On Target

Age 7 to 11Challenge Level

You have 5 darts and your target score is 44. How many different ways could you score 44?

Difference

Age 7 to 11Challenge Level

Place the numbers 1 to 10 in the circles so that each number is the difference between the two numbers just below it.

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?

A Square of Numbers

Age 7 to 11Challenge Level

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

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?

True or False?

Age 7 to 11Challenge Level

Without doing lots of calculations, can you decide which of these number sentences are true? How do you know?

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.

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?

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?

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.

Dice and Spinner Numbers

Age 7 to 11Challenge Level

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

Train Carriages

Age 5 to 11Challenge Level

Suppose there is a train with 24 carriages which are going to be put together to make up some new trains. Can you find all the ways that this can be done?

Pouring the Punch Drink

Age 7 to 11Challenge Level

There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.

1, 2, 3 Magic Square

Age 7 to 11Challenge Level

Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

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.

Super Value Shapes

Age 7 to 11Challenge Level

If each of these three shapes has a value, can you find the totals of the combinations? Perhaps you can use the shapes to make the given totals?

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?

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.

Journeys in Numberland

Age 7 to 11Challenge Level

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

Build it up More

Age 7 to 11Challenge Level

This task follows on from Build it Up and takes the ideas into three dimensions!

Folded Number Line

Age 7 to 11Challenge Level

When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.

Painting Possibilities

Age 7 to 11Challenge Level

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .

Throw a 100

Age 7 to 11Challenge Level

Can you score 100 by throwing rings on this board? Is there more than way to do it?

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 Do You Do It?

Age 7 to 11Challenge Level

This group activity will encourage you to share calculation strategies and to think about which strategy might be the most efficient.

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.

Sometimes We Lose Things

Age 7 to 11Challenge Level

Well now, what would happen if we lost all the nines in our number system? Have a go at writing the numbers out in this way and have a look at the multiplications table.

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?

Machines

Age 7 to 11Challenge Level

What is happening at each box in these machines?

It Was 2010!

Age 5 to 11Challenge Level

If the answer's 2010, what could the question be?

Spell by Numbers

Age 7 to 11Challenge Level

Can you substitute numbers for the letters in these sums?

Maze 100

Age 7 to 11Challenge Level

Can you go through this maze so that the numbers you pass add to exactly 100?

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?

Reverse Trick

Age 7 to 11Challenge Level

Tell your friends that you have a strange calculator that turns numbers backwards. What secret number do you have to enter to make 141 414 turn around?