# Resources tagged with: Generalising

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### There are 94 results

Broad Topics > Thinking Mathematically > Generalising

##### Age 5 to 11Challenge Level

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

### Tumbling Down

##### Age 7 to 11Challenge Level

Watch this animation. What do you see? Can you explain why this happens?

### Finding 3D Stacks

##### Age 7 to 11Challenge Level

Can you find a way of counting the spheres in these arrangements?

### Always, Sometimes or Never? Shape

##### Age 7 to 11Challenge Level

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

### Always, Sometimes or Never? Number

##### Age 7 to 11Challenge Level

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

### Always, Sometimes or Never? KS1

##### Age 5 to 7Challenge Level

Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?

### Always, Sometimes or Never?

##### Age 5 to 11Challenge Level

Are these statements relating to odd and even numbers always true, sometimes true or never true?

### Circles, Circles

##### Age 5 to 11Challenge Level

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?

### 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.

### Division Rules

##### Age 7 to 11Challenge Level

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

### Unit Differences

##### Age 5 to 7Challenge Level

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

### 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?

### 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?

### Round the Two Dice

##### Age 5 to 7Challenge Level

This activity focuses on rounding to the nearest 10.

### Round the Dice Decimals 2

##### Age 7 to 11Challenge Level

What happens when you round these numbers to the nearest whole number?

### Round the Four Dice

##### Age 7 to 11Challenge Level

This activity involves rounding four-digit numbers to the nearest thousand.

### 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.

### 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 ...?

### 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?

### 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.

### 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.

### How Odd

##### Age 5 to 7Challenge Level

This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?

### Three Dice

##### Age 7 to 11Challenge Level

Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?

### 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.

### 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?

### 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?

### Growing Garlic

##### Age 5 to 11Challenge Level

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

### 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?

### More Numbers in the Ring

##### Age 5 to 7Challenge Level

If there are 3 squares in the ring, can you place three different numbers in them so that their differences are odd? Try with different numbers of squares around the ring. What do you notice?

### 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?

### Break it Up!

##### Age 5 to 11Challenge Level

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

### Up and Down Staircases

##### Age 7 to 11Challenge Level

One block is needed to make an up-and-down staircase, with one step up and one step down. How many blocks would be needed to build an up-and-down staircase with 5 steps up and 5 steps down?

### Odd Squares

##### Age 7 to 11Challenge Level

Think of a number, square it and subtract your starting number. Is the number you're left with odd or even? How do the images help to explain this?

### Make 37

##### Age 7 to 14Challenge Level

Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.

### Got It

##### Age 7 to 14Challenge Level

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

### Nim-7

##### Age 5 to 14Challenge Level

Can you work out how to win this game of Nim? Does it matter if you go first or second?

### Cut it Out

##### Age 7 to 11Challenge Level

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

### 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"?

### 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.

### 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?

### Charitable Pennies

##### Age 7 to 14Challenge Level

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

### Surprising Split

##### Age 7 to 11Challenge Level

Does this 'trick' for calculating multiples of 11 always work? Why or why not?

### Unexpected Ordering

##### Age 5 to 7Challenge Level

Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?

### Truth or Lie

##### Age 7 to 11Challenge Level

Take a look at the video of this trick. Can you perform it yourself? Why is this maths and not magic?

### Celebrate 25 Years of NRICH

##### Age 5 to 14

To celebrate NRICH's 25th birthday, why not play this special version of our classic game, Got It? Can you devise a strategy so that you will always win?

##### Age 7 to 14Challenge Level

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

### Window Frames

##### Age 5 to 14Challenge Level

This task encourages you to investigate the number of edging pieces and panes in different sized windows.

### Counting Stick Conjectures

##### Age 5 to 11Challenge Level

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?

### 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?