Resources tagged with: Factors and multiples

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There are 114 results

Broad Topics > Properties of Numbers > Factors and multiples

Making Sticks

Age 5 to 7
Challenge Level

Kimie and Sebastian were making sticks from interlocking cubes and lining them up. Can they make their lines the same length? Can they make any other lines?

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.

Are You Well Balanced?

Age 5 to 7
Challenge Level

Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

Factors and Multiples Game

Age 7 to 16
Challenge Level

A game in which players take it in turns to choose a number. Can you block your opponent?

Factors and Multiples Game for Two

Age 7 to 14
Challenge Level

Factors and Multiples game for an adult and child. How can you make sure you win this game?

Got it for Two

Age 7 to 14
Challenge Level

Got It game for an adult and child. How can you play so that you know you will always win?

Nineteen Hexagons

Age 5 to 7
Challenge Level

In this maze of hexagons, you start in the centre at 0. The next hexagon must be a multiple of 2 and the next a multiple of 5. What are the possible paths you could take?

Times Tables Shifts

Age 7 to 11
Challenge Level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

Multiples Grid

Age 7 to 11
Challenge Level

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

Multiplication Square Jigsaw

Age 7 to 11
Challenge Level

Can you complete this jigsaw of the multiplication square?

Factor Lines

Age 7 to 14
Challenge Level

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

It Figures

Age 7 to 11
Challenge Level

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

Sweets in a Box

Age 7 to 11
Challenge Level

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

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.

Got It

Age 7 to 14
Challenge 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.

Light the Lights

Age 5 to 7
Challenge Level

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

Colour Wheels

Age 7 to 11
Challenge Level

Imagine a wheel with different markings painted on it at regular intervals. Can you predict the colour of the 18th mark? The 100th mark?

Same Length Trains

Age 5 to 7
Challenge Level

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

Music to My Ears

Age 7 to 11
Challenge Level

Can you predict when you'll be clapping and when you'll be clicking if you start this rhythm? How about when a friend begins a new rhythm at the same time?

Clapping Times

Age 5 to 7
Challenge Level

If you count from 1 to 20 and clap more loudly on the numbers in the two times table, as well as saying those numbers loudly, which numbers will be loud?

Rearranged Rectangle

Age 7 to 11
Challenge Level

How many different rectangles can you make using this set of rods?

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?

Which Is Quicker?

Age 7 to 11
Challenge Level

Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?

Tables Teaser

Age 5 to 7
Challenge Level

How will you work out which numbers have been used to create this multiplication square?

Factor-multiple Chains

Age 7 to 11
Challenge Level

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

The Remainders Game

Age 7 to 14
Challenge Level

Play this game and see if you can figure out the computer's chosen number.

Ip Dip

Age 5 to 11
Challenge Level

"Ip dip sky blue! Who's 'it'? It's you!" Where would you position yourself so that you are 'it' if there are two players? Three players ...?

Three Dice

Age 7 to 11
Challenge Level

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

Table Patterns Go Wild!

Age 7 to 11
Challenge Level

Nearly all of us have made table patterns on hundred squares, that is 10 by 10 grids. This problem looks at the patterns on differently sized square grids.

Six in a Circle

Age 5 to 7
Challenge Level

If there is a ring of six chairs and thirty children must either sit on a chair or stand behind one, how many children will be behind each chair?

Fitted

Age 7 to 11
Challenge Level

Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?

Tiling

Age 7 to 11
Challenge Level

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

The Set of Numbers

Age 5 to 7
Challenge Level

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

Surprising Split

Age 7 to 11
Challenge Level

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

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?

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.

Sorting Numbers

Age 5 to 7
Challenge Level

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

Light the Lights Again

Age 7 to 11
Challenge Level

Each light in this interactivity turns on according to a rule. What happens when you enter different numbers? Can you find the smallest number that lights up all four lights?

Which Numbers? (1)

Age 7 to 11
Challenge Level

I am thinking of three sets of numbers less than 101. They are the red set, the green set and the blue set. Can you find all the numbers in the sets from these clues?

Which Numbers? (2)

Age 7 to 11
Challenge Level

I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?

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?

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?

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?

Making Shapes

Age 5 to 7
Challenge Level

Arrange any number of counters from these 18 on the grid to make a rectangle. What numbers of counters make rectangles? How many different rectangles can you make with each number of counters?

Lots of Lollies

Age 5 to 7
Challenge 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?

One of Thirty-six

Age 5 to 7
Challenge Level

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

Growing Garlic

Age 5 to 7
Challenge Level

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

Skip Counting

Age 5 to 7
Challenge Level

Find the squares that Froggie skips onto to get to the pumpkin patch. She starts on 3 and finishes on 30, but she lands only on a square that has a number 3 more than the square she skips from.

Number Detective

Age 5 to 11
Challenge Level

Follow the clues to find the mystery number.

What's Left?

Age 5 to 7
Challenge Level

Use this grid to shade the numbers in the way described. Which numbers do you have left? Do you know what they are called?