# Resources tagged with: Generalising

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### There are 92 results

Broad Topics > Thinking Mathematically > Generalising

### 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?

### 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.

### The Add and Take-away Path

##### Age 5 to 7Challenge Level

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

### Build it up More

##### Age 7 to 11Challenge Level

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

### Sums and Differences 1

##### Age 7 to 11Challenge Level

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

### Centred Squares

##### Age 7 to 11Challenge Level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.

### Button-up Some More

##### Age 7 to 11Challenge Level

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

### Build it Up

##### Age 7 to 11Challenge Level

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

### Unit Differences

##### Age 5 to 7Challenge Level

This challenge is about finding the difference between numbers which have the same tens digit.

### Broken Toaster

##### Age 7 to 11 ShortChallenge Level

Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?

### Sitting Round the Party Tables

##### Age 5 to 11Challenge Level

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

### Tiling

##### Age 7 to 11Challenge Level

An investigation that gives you the opportunity to make and justify predictions.

### Lost Books

##### Age 7 to 11Challenge Level

While we were sorting some papers we found 3 strange sheets which seemed to come from small books but there were page numbers at the foot of each page. Did the pages come from the same book?

### Lots of Lollies

##### Age 5 to 7Challenge Level

Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

### Strike it Out

##### Age 5 to 11Challenge Level

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

### Doplication

##### Age 7 to 11Challenge Level

We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

### Polygonals

##### Age 7 to 11Challenge Level

Polygonal numbers are those that are arranged in shapes as they enlarge. Explore the polygonal numbers drawn here.

### Area and Perimeter

##### Age 7 to 11Challenge Level

What can you say about these shapes? This problem challenges you to create shapes with different areas and perimeters.

### Strike it Out for Two

##### Age 5 to 11Challenge Level

Strike it Out game for an adult and child. Can you stop your partner from being able to go?

##### Age 5 to 11Challenge Level

Try out this number trick. What happens with different starting numbers? What do you notice?

### Growing Garlic

##### Age 5 to 7Challenge Level

Ben and his mum are planting garlic. Can you find out how many cloves of garlic they might have had?

### Magic Constants

##### Age 7 to 11Challenge Level

In a Magic Square all the rows, columns and diagonals add to the 'Magic Constant'. How would you change the magic constant of this square?

### Bundles of Cubes

##### Age 7 to 11Challenge Level

Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

### Calendar Calculations

##### Age 7 to 11Challenge Level

Try adding together the dates of all the days in one week. Now multiply the first date by 7 and add 21. Can you explain what happens?

### Making Maths: Be a Mathemagician

##### Age 7 to 11Challenge Level

Surprise your friends with this magic square trick.

### Oddly

##### Age 7 to 11Challenge Level

Find the sum of all three-digit numbers each of whose digits is odd.

### Dice Stairs

##### Age 7 to 11Challenge Level

Can you make dice stairs using the rules stated? How do you know you have all the possible stairs?

### Magic Circles

##### Age 7 to 11Challenge Level

Put the numbers 1, 2, 3, 4, 5, 6 into the squares so that the numbers on each circle add up to the same amount. Can you find the rule for giving another set of six numbers?

### Round the Three Dice

##### Age 7 to 11Challenge Level

What happens when you round these three-digit numbers to the nearest 100?

### The Great Tiling Count

##### Age 7 to 11Challenge Level

Compare the numbers of particular tiles in one or all of these three designs, inspired by the floor tiles of a church in Cambridge.

### Simple Train Journeys

##### Age 5 to 11Challenge Level

How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?

### Round and Round the Circle

##### Age 7 to 11Challenge Level

What happens if you join every second point on this circle? How about every third point? Try with different steps and see if you can predict what will happen.

### Stop the Clock

##### Age 5 to 7Challenge Level

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

### 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?

### Round the Two Dice

##### Age 5 to 7Challenge Level

This activity focuses on rounding to the nearest 10.

### Number Differences

##### Age 7 to 11Challenge Level

Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?

### Number Tracks

##### Age 7 to 11Challenge Level

Benâ€™s class were cutting up number tracks. First they cut them into twos and added up the numbers on each piece. What patterns could they see?

### Stop the Clock for Two

##### Age 5 to 7Challenge Level

Stop the Clock game for an adult and child. How can you make sure you always win this game?

### Sticky Triangles

##### Age 7 to 11Challenge Level

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?

### 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?

### Division Rules

##### Age 7 to 11Challenge Level

This challenge encourages you to explore dividing a three-digit number by a single-digit number.

### Break it Up!

##### Age 5 to 11Challenge Level

In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.

### Charitable Pennies

##### Age 7 to 14Challenge Level

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

### What Could it Be?

##### Age 5 to 7Challenge Level

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

### Snake Coils

##### Age 7 to 11Challenge Level

This challenge asks you to imagine a snake coiling on itself.

### Round the Dice Decimals 1

##### Age 7 to 11Challenge Level

Use two dice to generate two numbers with one decimal place. What happens when you round these numbers to the nearest whole number?

### Always, Sometimes or Never? Number

##### Age 7 to 11Challenge Level

Are these statements always true, sometimes true or never true?

### Next-door Numbers

##### Age 5 to 7Challenge Level

Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?

### Steps to the Podium

##### Age 7 to 14Challenge Level

It starts quite simple but great opportunities for number discoveries and patterns!

### Play to 37

##### Age 7 to 11Challenge Level

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.