Resources tagged with Factors and multiples similar to Prison Cells:
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Practical Activity. Addition & subtraction. Factors and multiples. Visualising. Working systematically. Investigations. Multiplication & division. Trial and improvement. Interactivities. Combinations.There are 143 results
Broad Topics > Numbers and the Number System > Factors and multiples
The Moons of Vuvv
Stage: 2 Challenge Level: 
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Mystery Matrix
Stage: 2 Challenge Level:
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
It Figures
Stage: 2 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?
Seven Flipped
Stage: 2 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.
A Mixed-up Clock
Stage: 2 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?
Neighbours
Stage: 2 Challenge 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?
Add the Weights
Stage: 2 Challenge Level:
If you have only four weights, where could you place them in order to balance this equaliser?
Multiplication Squares
Stage: 2 Challenge 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.
Two Primes Make One Square
Stage: 2 Challenge Level:
Can you make square numbers by adding two prime numbers together?
A Dotty Problem
Stage: 2 Challenge Level:
Starting with the number 180, take away 9 again and again, joining up the dots as you go. Watch out - don't join all the dots!
Multiples Grid
Stage: 2 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?
Sweets in a Box
Stage: 2 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?
Fractions in a Box
Stage: 2 Challenge Level:
The discs for this game are kept in a flat square box with a square hole for each disc. Use the information to find out how many discs of each colour there are in the box.
Curious Number
Stage: 2 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?
Scoring with Dice
Stage: 2 Challenge 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?
What Two ...?
Stage: 2 Short Challenge Level:
56 406 is the product of two consecutive numbers. What are these two numbers?
Zios and Zepts
Stage: 2 Challenge 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?
Multiplication Square Jigsaw
Stage: 2 Challenge Level:
Can you complete this jigsaw of the multiplication square?
Divide it Out
Stage: 2 Challenge Level:
What is the lowest number which always leaves a remainder of 1 when divided by each of the numbers from 2 to 10?
Sets of Numbers
Stage: 2 Challenge Level:
How many different sets of numbers with at least four members can you find in the numbers in this box?
Being Collaborative - Primary Number
Stage: 1 and 2 Challenge Level:
Number problems at primary level to work on with others.
Multiply Multiples 1
Stage: 2 Challenge Level:
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
A Square Deal
Stage: 2 Challenge Level:
Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.
Multiply Multiples 2
Stage: 2 Challenge Level:
Can you work out some different ways to balance this equation?
Multiply Multiples 3
Stage: 2 Challenge Level:
Have a go at balancing this equation. Can you find different ways of doing it?
Being Resilient - Primary Number
Stage: 1 and 2 Challenge Level:
Number problems at primary level that may require resilience.
Abundant Numbers
Stage: 2 Challenge 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?
Tiling
Stage: 2 Challenge Level:
An investigation that gives you the opportunity to make and justify predictions.
Got it for Two
Stage: 2 Challenge Level:
Got It game for an adult and child. How can you play so that you know you will always win?
Gran, How Old Are You?
Stage: 2 Challenge 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?
Tom's Number
Stage: 2 Challenge Level:
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
Round and Round the Circle
Stage: 2 Challenge 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.
Colour Wheels
Stage: 2 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?
Crossings
Stage: 2 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?
Times Tables Shifts
Stage: 2 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?
Three Dice
Stage: 2 Challenge Level:
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Ip Dip
Stage: 1 and 2 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 ...?
Down to Nothing
Stage: 2 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.
Odds and Threes
Stage: 2 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.
A First Product Sudoku
Stage: 3 Challenge Level:
Given the products of adjacent cells, can you complete this Sudoku?
Fitted
Stage: 2 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?
Which Is Quicker?
Stage: 2 Challenge Level:
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
Number Tracks
Stage: 2 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?
Factor-multiple Chains
Stage: 2 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?
Factor Lines
Stage: 2 and 3 Challenge Level:
Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.
Path to the Stars
Stage: 2 Challenge Level:
Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
Sets of Four Numbers
Stage: 2 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?
How Old Are the Children?
Stage: 3 Challenge 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?"
NRICH is part of the family of activities in the Millennium Mathematics Project.