# Resources tagged with: Addition & subtraction

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### 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?

### 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?

### 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'.

### 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?

### 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. . . .

### 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.

### 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 1

##### Age 7 to 11Challenge Level

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

### Making Maths: Be a Mathemagician

##### Age 7 to 11Challenge Level

Surprise your friends with this magic square trick.

### 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.

##### 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.

### The Dice Train

##### Age 7 to 11Challenge Level

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

### 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?

### Cubes Within Cubes

##### Age 7 to 14Challenge Level

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

### 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?

##### Age 5 to 11Challenge Level

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

### Clocked

##### Age 11 to 14Challenge Level

Is it possible to rearrange the numbers 1,2......12 around a clock face in such a way that every two numbers in adjacent positions differ by any of 3, 4 or 5 hours?

### 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?

### 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?

### 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?

##### Age 7 to 11Challenge Level

What happens when you add the digits of a number then multiply the result by 2 and you keep doing this? You could try for different numbers and different rules.

### 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?

### 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.

### Prompt Cards

##### Age 7 to 11Challenge Level

These two group activities use mathematical reasoning - one is numerical, one geometric.

### Sort Them Out (2)

##### Age 7 to 11Challenge Level

Can you each work out the number on your card? What do you notice? How could you sort the cards?

### Calendar Patterns

##### Age 7 to 11Challenge Level

In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?

### 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?

##### 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?

### 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?

### 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.

### 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.

### 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?

### 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?

### 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?

### 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.

### 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?

### Number Squares

##### Age 5 to 11Challenge Level

Start with four numbers at the corners of a square and put the total of two corners in the middle of that side. Keep going... Can you estimate what the size of the last four numbers will be?

### Build it up More

##### Age 7 to 11Challenge Level

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

### 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?

### Code Breaker

##### Age 7 to 11Challenge Level

This problem is based on a code using two different prime numbers less than 10. You'll need to multiply them together and shift the alphabet forwards by the result. Can you decipher the code?

### Times

##### Age 7 to 11Challenge Level

Which times on a digital clock have a line of symmetry? Which look the same upside-down? You might like to try this investigation and find out!

### Which Symbol?

##### Age 7 to 11Challenge Level

Choose a symbol to put into the number sentence.

### Exploring Wild & Wonderful Number Patterns

##### Age 7 to 11Challenge Level

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

### 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?

### 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?

### Christmas Shopping

##### Age 7 to 11Challenge Level

Vera is shopping at a market with these coins in her purse. Which things could she give exactly the right amount for?

### Spell by Numbers

##### Age 7 to 11Challenge Level

Can you substitute numbers for the letters in these sums?

### Magic Triangle

##### Age 7 to 11Challenge Level

Place the digits 1 to 9 into the circles so that each side of the triangle adds to the same total.

### 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.