Resources tagged with: Odd and even numbers

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There are 61 results

Broad Topics > Properties of Numbers > Odd and even numbers

Seven Flipped

Age 7 to 11
Challenge Level

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

Arrangements

Age 7 to 11
Challenge Level

Is it possible to place 2 counters on the 3 by 3 grid so that there is an even number of counters in every row and every column? How about if you have 3 counters or 4 counters or....?

Curious Number

Age 7 to 11
Challenge Level

Can you order the digits from 1-3 to make a number which is divisible by 3 so when the last digit is removed it becomes a 2-figure number divisible by 2, and so on?

One of Thirty-six

Age 5 to 7
Challenge Level

Can you find the chosen number from the grid using the clues?

Break it Up!

Age 5 to 11
Challenge 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.

Take Three Numbers

Age 7 to 11
Challenge Level

What happens when you add three numbers together? Will your answer be odd or even? How do you know?

What Could it Be?

Age 5 to 7
Challenge Level

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

Magic Vs

Age 7 to 11
Challenge Level

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Sets of Four Numbers

Age 7 to 11
Challenge Level

There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?

A Mixed-up Clock

Age 7 to 11
Challenge 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?

Number Round Up

Age 5 to 7
Challenge Level

Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.

Sets of Numbers

Age 7 to 11
Challenge Level

How many different sets of numbers with at least four members can you find in the numbers in this box?

Number Detective

Age 5 to 11
Challenge Level

Follow the clues to find the mystery number.

Ring a Ring of Numbers

Age 5 to 7
Challenge Level

Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.

Number Differences

Age 7 to 11
Challenge 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?

The Set of Numbers

Age 5 to 7
Challenge Level

Can you place the numbers from 1 to 10 in the grid?

Share Bears

Age 5 to 7
Challenge Level

Yasmin and Zach have some bears to share. Which numbers of bears can they share so that there are none left over?

Crossings

Age 7 to 11
Challenge Level

In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?

Domino Pick

Age 5 to 7
Challenge Level

Are these domino games fair? Can you explain why or why not?

Pairs of Numbers

Age 5 to 7
Challenge Level

If you have ten counters numbered 1 to 10, how many can you put into pairs that add to 10? Which ones do you have to leave out? Why?

Even and Odd

Age 5 to 7
Challenge Level

This activity is best done with a whole class or in a large group. Can you match the cards? What happens when you add pairs of the numbers together?

Two Numbers Under the Microscope

Age 5 to 7
Challenge Level

This investigates one particular property of number by looking closely at an example of adding two odd numbers together.

Cube Bricks and Daisy Chains

Age 5 to 7
Challenge Level

Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.

Carroll Diagrams

Age 5 to 11
Challenge Level

Use the interactivities to fill in these Carroll diagrams. How do you know where to place the numbers?

Down to Nothing

Age 7 to 11
Challenge Level

A game for 2 or more people. Starting with 100, subratct a number from 1 to 9 from the total. You score for making an odd number, a number ending in 0 or a multiple of 6.

Always, Sometimes or Never? Number

Age 7 to 11
Challenge Level

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

Domino Sorting

Age 5 to 7
Challenge Level

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

Play to 37

Age 7 to 11
Challenge 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.

Square Subtraction

Age 7 to 11
Challenge Level

Look at what happens when you take a number, square it and subtract your answer. What kind of number do you get? Can you prove it?

Part the Piles

Age 7 to 11
Challenge Level

Try to stop your opponent from being able to split the piles of counters into unequal numbers. Can you find a strategy?

Numbers as Shapes

Age 5 to 7
Challenge Level

Use cubes to continue making the numbers from 7 to 20. Are they sticks, rectangles or squares?

Sorting Numbers

Age 5 to 7
Challenge Level

Can you sort numbers into sets? Can you give each set a name?

Grouping Goodies

Age 5 to 7
Challenge Level

Pat counts her sweets in different groups and both times she has some left over. How many sweets could she have had?

I Like ...

Age 5 to 7
Challenge Level

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Number Tracks

Age 7 to 11
Challenge Level

Ben’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?

Odd Times Even

Age 5 to 7
Challenge Level

This problem looks at how one example of your choice can show something about the general structure of multiplication.

Largest Even

Age 5 to 7
Challenge Level

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

Take One Example

Age 5 to 11

This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.

Always, Sometimes or Never?

Age 5 to 11
Challenge Level

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

How Odd

Age 5 to 7
Challenge 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?

What Do You Need?

Age 7 to 11
Challenge Level

Four of these clues are needed to find the chosen number on this grid and four are true but do nothing to help in finding the number. Can you sort out the clues and find the number?

More Numbers in the Ring

Age 5 to 7
Challenge 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?

Our Numbers

Age 5 to 7
Challenge Level

These spinners will give you the tens and unit digits of a number. Can you choose sets of numbers to collect so that you spin six numbers belonging to your sets in as few spins as possible?

Multiplication Series: Number Arrays

Age 5 to 11

This article for teachers describes how number arrays can be a useful representation for many number concepts.

Venn Diagrams

Age 5 to 11
Challenge Level

How will you complete these interactive Venn diagrams?

What Number?

Age 5 to 7 Short
Challenge Level

I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.

Odds and Threes

Age 7 to 11
Challenge Level

A game for 2 people using a pack of cards Turn over 2 cards and try to make an odd number or a multiple of 3.

Odd Squares

Age 7 to 11
Challenge 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?

The Thousands Game

Age 7 to 11
Challenge Level

Each child in Class 3 took four numbers out of the bag. Who had made the highest even number?

Diagonal Trace

Age 7 to 11
Challenge Level

You can trace over all of the diagonals of a pentagon without lifting your pencil and without going over any more than once. Can the same thing be done with a hexagon or with a heptagon?