Resources tagged with Multiplication & division similar to Tom's Number:
Other tags that relate to Tom's Number
Multiplication & division. Working systematically. Trial and improvement. Odd and even numbers. Divisibility. Properties of numbers. Addition & subtraction. Interactivities. Prime numbers. Factors and multiples.There are 133 results
Broad Topics > Calculations and Numerical Methods > Multiplication & division
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'.
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?
What Two ...?
Stage: 2 Short Challenge Level:
56 406 is the product of two consecutive numbers. What are these two numbers?
Long Multiplication
Stage: 3 Challenge Level:
A 3 digit number is multiplied by a 2 digit number and the calculation is written out as shown with a digit in place of each of the *'s. Complete the whole multiplication sum.
1, 2, 3, 4, 5
Stage: 2 Challenge Level:
Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?
Clever Santa
Stage: 2 Challenge Level:
All the girls would like a puzzle each for Christmas and all the boys would like a book each. Solve the riddle to find out how many puzzles and books Santa left.
Remainders
Stage: 2 Challenge Level:
I'm thinking of a number. When my number is divided by 5 the remainder is 4. When my number is divided by 3 the remainder is 2. Can you find my number?
Amy's Dominoes
Stage: 2 Challenge Level:
Amy has a box containing domino pieces but she does not think it is a complete set. She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her domino pieces are missing?
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?
Super Shapes
Stage: 2 Short Challenge Level:
The value of the circle changes in each of the following problems. Can you discover its value in each problem?
A Conversation Piece
Stage: 2 Challenge Level:
Take the number 6 469 693 230 and divide it by the first ten prime numbers and you'll find the most beautiful, most magic of all numbers. What is it?
Learning Times Tables
Stage: 1 and 2 Challenge Level:
In November, Liz was interviewed for an article on a parents' website about learning times tables. Read the article here.
Difficulties with Division
Stage: 1 and 2
This article for teachers looks at how teachers can use problems from the NRICH site to help them teach division.
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?
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.
Being Resilient - Primary Number
Stage: 1 and 2 Challenge Level:
Number problems at primary level that may require resilience.
A-magical Number Maze
Stage: 2 Challenge Level:
This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!
Magic Potting Sheds
Stage: 3 Challenge Level:
Mr McGregor has a magic potting shed. Overnight, the number of plants in it doubles. He'd like to put the same number of plants in each of three gardens, planting one garden each day. Can he do it?
The Deca Tree
Stage: 2 Challenge Level:
Find out what a Deca Tree is and then work out how many leaves there will be after the woodcutter has cut off a trunk, a branch, a twig and a leaf.
Arranging the Tables
Stage: 2 Challenge Level:
There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.
As Easy as 1,2,3
Stage: 3 Challenge Level:
When I type a sequence of letters my calculator gives the product of all the numbers in the corresponding memories. What numbers should I store so that when I type 'ONE' it returns 1, and when I type. . . .
A First Product Sudoku
Stage: 3 Challenge Level:
Given the products of adjacent cells, can you complete this Sudoku?
Twenty Divided Into Six
Stage: 2 Challenge Level:
Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?
Book Codes
Stage: 2 Challenge Level:
Look on the back of any modern book and you will find an ISBN code. Take this code and calculate this sum in the way shown. Can you see what the answers always have in common?
Fair Feast
Stage: 2 Challenge Level:
Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?
Largest Number
Stage: 3 Challenge Level:
What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.
Making Pathways
Stage: 2 Challenge Level:
Can you find different ways of creating paths using these paving slabs?
Rabbits in the Pen
Stage: 2 Challenge Level:
Using the statements, can you work out how many of each type of rabbit there are in these pens?
Asteroid Blast
Stage: 2 Challenge Level:
A game for 2 people. Use your skills of addition, subtraction, multiplication and division to blast the asteroids.
Zargon Glasses
Stage: 2 Challenge Level:
Zumf makes spectacles for the residents of the planet Zargon, who have either 3 eyes or 4 eyes. How many lenses will Zumf need to make all the different orders for 9 families?
Multiply the Addition Square
Stage: 3 Challenge Level:
If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?
Oh! Harry!
Stage: 2 Challenge Level:
A group of children are using measuring cylinders but they lose the labels. Can you help relabel them?
Square Subtraction
Stage: 2 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?
The Clockmaker's Birthday Cake
Stage: 2 Challenge Level:
The clockmaker's wife cut up his birthday cake to look like a clock face. Can you work out who received each piece?
Numbers Numbers Everywhere!
Stage: 1 and 2
Bernard Bagnall recommends some primary school problems which use numbers from the environment around us, from clocks to house numbers.
Jumping
Stage: 2 Challenge Level:
After training hard, these two children have improved their results. Can you work out the length or height of their first jumps?
The Puzzling Sweet Shop
Stage: 2 Challenge Level:
There were chews for 2p, mini eggs for 3p, Chocko bars for 5p and lollypops for 7p in the sweet shop. What could each of the children buy with their money?
How Old?
Stage: 2 Challenge Level:
Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
Six Numbered Cubes
Stage: 2 Challenge Level:
This task combines spatial awareness with addition and multiplication.
The Pied Piper of Hamelin
Stage: 2 Challenge Level:
This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!
Four Go for Two
Stage: 2 Challenge Level:
Four Go game for an adult and child. Will you be the first to have four numbers in a row on the number line?
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?
Escape from the Castle
Stage: 2 Challenge Level:
Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?
The 24 Game
Stage: 2 Challenge Level:
There are over sixty different ways of making 24 by adding, subtracting, multiplying and dividing all four numbers 4, 6, 6 and 8 (using each number only once). How many can you find?
How Much Did it Cost?
Stage: 2 Challenge Level:
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
Today's Date - 01/06/2009
Stage: 1 and 2 Challenge Level:
What do you notice about the date 03.06.09? Or 08.01.09? This challenge invites you to investigate some interesting dates yourself.
3388
Stage: 3 Challenge Level:
Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.
Napier's Bones
Stage: 2 Challenge Level:
The Scot, John Napier, invented these strips about 400 years ago to help calculate multiplication and division. Can you work out how to use Napier's bones to find the answer to these multiplications?
NRICH is part of the family of activities in the Millennium Mathematics Project.