Resources tagged with: Factors and multiples

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Broad Topics > Properties of Numbers > Factors and multiples

Pebbles

Age 7 to 11Challenge Level

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

It Figures

Age 7 to 11Challenge 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 11Challenge 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?

Abundant Numbers

Age 7 to 11Challenge Level

48 is called an abundant number because it is less than the sum of its factors (without itself). Can you find some more abundant numbers?

Multiply Multiples 2

Age 7 to 11Challenge Level

Can you work out some different ways to balance this equation?

Mystery Matrix

Age 7 to 11Challenge Level

Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.

Gran, How Old Are You?

Age 7 to 11Challenge Level

When Charlie asked his grandmother how old she is, he didn't get a straightforward reply! Can you work out how old she is?

Seven Flipped

Age 7 to 11Challenge 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.

The Moons of Vuvv

Age 7 to 11Challenge Level

The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?

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.

Sets of Four Numbers

Age 7 to 11Challenge 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?

Multiply Multiples 1

Age 7 to 11Challenge Level

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

Tiling

Age 7 to 11Challenge Level

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

Multiply Multiples 3

Age 7 to 11Challenge Level

Have a go at balancing this equation. Can you find different ways of doing it?

Ip Dip

Age 5 to 11Challenge 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 ...?

Times Tables Shifts

Age 7 to 11Challenge Level

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

A Square Deal

Age 7 to 11Challenge Level

Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.

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?

Multiplication Squares

Age 7 to 11Challenge Level

Can you work out the arrangement of the digits in the square so that the given products are correct? The numbers 1 - 9 may be used once and once only.

Sets of Numbers

Age 7 to 11Challenge Level

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

Rearranged Rectangle

Age 7 to 11Challenge Level

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

Curious Number

Age 7 to 11Challenge 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?

Surprising Split

Age 7 to 11Challenge Level

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

Zios and Zepts

Age 7 to 11Challenge Level

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Two Primes Make One Square

Age 7 to 11Challenge Level

Can you make square numbers by adding two prime numbers together?

Fitted

Age 7 to 11Challenge 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?

A Mixed-up Clock

Age 7 to 11Challenge 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?

Being Resilient - Primary Number

Age 5 to 11Challenge Level

Number problems at primary level that may require resilience.

Fractions in a Box

Age 7 to 11Challenge Level

The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

Crossings

Age 7 to 11Challenge 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?

Number Tracks

Age 7 to 11Challenge 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?

Multiples Grid

Age 7 to 11Challenge 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?

Number Detective

Age 5 to 11Challenge Level

Follow the clues to find the mystery number.

Bracelets

Age 7 to 11Challenge Level

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

Making Pathways

Age 7 to 11Challenge Level

Can you find different ways of creating paths using these paving slabs?

Star Product Sudoku

Age 11 to 16Challenge Level

The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid.

Multiplication Square Jigsaw

Age 7 to 11Challenge Level

Can you complete this jigsaw of the multiplication square?

Scoring with Dice

Age 7 to 11Challenge Level

I throw three dice and get 5, 3 and 2. Add the scores on the three dice. What do you get? Now multiply the scores. What do you notice?

Divide it Out

Age 7 to 11Challenge Level

What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?

Being Collaborative - Primary Number

Age 5 to 11Challenge Level

Number problems at primary level to work on with others.

Ducking and Dividing

Age 7 to 11Challenge Level

Your vessel, the Starship Diophantus, has become damaged in deep space. Can you use your knowledge of times tables and some lightning reflexes to survive?

Red Balloons, Blue Balloons

Age 7 to 11Challenge Level

Katie and Will have some balloons. Will's balloon burst at exactly the same size as Katie's at the beginning of a puff. How many puffs had Will done before his balloon burst?

Diagonal Product Sudoku

Age 11 to 16Challenge Level

Given the products of diagonally opposite cells - can you complete this Sudoku?

Colour Wheels

Age 7 to 11Challenge 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?

Repeaters

Age 11 to 14Challenge Level

Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.

Music to My Ears

Age 7 to 11Challenge 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?

Always, Sometimes or Never? Number

Age 7 to 11Challenge Level

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

Factors and Multiples Game for Two

Age 7 to 14Challenge Level

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

Gabriel's Problem

Age 11 to 14Challenge Level

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

How Old Are the Children?

Age 11 to 14Challenge Level

A student in a maths class was trying to get some information from her teacher. She was given some clues and then the teacher ended by saying, "Well, how old are they?"