Other tags that relate to How Many Eggs?
Investigations. Generalising. Place value. Introducing algebra. Combinations. Multiplication & division. Addition & subtraction. Working systematically. Trial and improvement. Factors and multiples.There are 154 results
Broad Topics > Properties of Numbers > Factors and multiples
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?
Abundant Numbers
Age 7 to 11
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?
Being Resilient - Primary Number
Age 5 to 11
Challenge Level
Number problems at primary level that may require resilience.
Zios and Zepts
Age 7 to 11
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?
Mystery Matrix
Age 7 to 11
Challenge Level
Can you fill in this table square? The numbers 2 -12 were used to generate it with just one number used twice.
Ducking and Dividing
Age 7 to 11
Challenge 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?
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?
Gran, How Old Are You?
Age 7 to 11
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?
Making Pathways
Age 7 to 11
Challenge Level
Can you find different ways of creating paths using these paving slabs?
Fractions in a Box
Age 7 to 11
Challenge 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.
Multiply Multiples 1
Age 7 to 11
Challenge Level
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Multiply Multiples 2
Age 7 to 11
Challenge Level
Can you work out some different ways to balance this equation?
Multiply Multiples 3
Age 7 to 11
Challenge Level
Have a go at balancing this equation. Can you find different ways of doing it?
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?
Being Collaborative - Primary Number
Age 5 to 11
Challenge Level
Number problems at primary level to work on with others.
Divide it Out
Age 7 to 11
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?
Multiplication Squares
Age 7 to 11
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.
The Moons of Vuvv
Age 7 to 11
Challenge Level
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Two Primes Make One Square
Age 7 to 11
Challenge Level
Can you make square numbers by adding two prime numbers together?
Scoring with Dice
Age 7 to 11
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?
Path to the Stars
Age 7 to 11
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?
What Two ...?
Age 7 to 11 Short
Challenge Level
56 406 is the product of two consecutive numbers. What are these two numbers?
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?
Neighbours
Age 7 to 11
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?
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?
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?
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?
Pebbles
Age 7 to 11
Challenge 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?
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?
Tom's Number
Age 7 to 11
Challenge Level
Work out Tom's number from the answers he gives his friend. He will only answer 'yes' or 'no'.
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.
Tiling
Age 7 to 11
Challenge Level
An investigation that gives you the opportunity to make and justify predictions.
A Square Deal
Age 7 to 11
Challenge Level
Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.
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.
Rearranged Rectangle
Age 7 to 11
Challenge Level
How many different rectangles can you make using this set of rods?
Just Repeat
Age 11 to 14
Challenge Level
Think of any three-digit number. Repeat the digits. The 6-digit number that you end up with is divisible by 91. Is this a coincidence?
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?
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.
Times Right
Age 11 to 16
Challenge Level
Using the digits 1, 2, 3, 4, 5, 6, 7 and 8, mulitply a two two digit numbers are multiplied to give a four digit number, so that the expression is correct. How many different solutions can you find?
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?
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?
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?
Big Powers
Age 11 to 16
Challenge Level
Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.
The Remainders Game
Age 7 to 14
Challenge Level
Play this game and see if you can figure out the computer's chosen number.
American Billions
Age 11 to 14
Challenge Level
Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...
Eminit
Age 11 to 14
Challenge Level
The number 8888...88M9999...99 is divisible by 7 and it starts with the digit 8 repeated 50 times and ends with the digit 9 repeated 50 times. What is the value of the digit M?
Thirty Six Exactly
Age 11 to 14
Challenge Level
The number 12 = 2^2 × 3 has 6 factors. What is the smallest natural number with exactly 36 factors?
NRICH is part of the family of activities in the Millennium Mathematics Project.