Can you each work out the number on your card? What do you notice?
How could you sort the cards?
Use this grid to shade the numbers in the way described. Which
numbers do you have left? Do you know what they are called?
This activity focuses on doubling multiples of five.
Start by putting one million (1 000 000) into the display of your
calculator. Can you reduce this to 7 using just the 7 key and add,
subtract, multiply, divide and equals as many times as you like?
Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?
Put operations signs between the numbers 3 4 5 6 to make the highest possible number and lowest possible number.
Can you complete this jigsaw of the multiplication square?
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?
This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?
Can you see why 2 by 2 could be 5? Can you predict what 2 by 10
This big box multiplies anything that goes inside it by the same number. If you know the numbers that come out, what multiplication might be going on in the box?
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.
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.
Work out Tom's number from the answers he gives his friend. He will
only answer 'yes' or 'no'.
There were 22 legs creeping across the web. How many flies? How many spiders?
What is the lowest number which always leaves a remainder of 1 when
divided by each of the numbers from 2 to 10?
The Man is much smaller than us. Can you use the picture of him
next to a mug to estimate his height and how much tea he drinks?
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?
Which is quicker, counting up to 30 in ones or counting up to 300 in tens? Why?
This problem is designed to help children to learn, and to use, the two and three times tables.
Can you work out what a ziffle is on the planet Zargon?
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?
Can you find which shapes you need to put into the grid to make the
totals at the end of each row and the bottom of each column?
Choose a symbol to put into the number sentence.
Use 4 four times with simple operations so that you get the answer 12. Can you make 15, 16 and 17 too?
This article for teachers describes how modelling number properties
involving multiplication using an array of objects not only allows
children to represent their thinking with concrete materials,. . . .
Twizzle, a female giraffe, needs transporting to another zoo. Which
route will give the fastest journey?
At the beginning of May Tom put his tomato plant outside. On the
same day he sowed a bean in another pot. When will the two be the
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.
Claire thinks she has the most sports cards in her album. "I have
12 pages with 2 cards on each page", says Claire. Ross counts his
cards. "No! I have 3 cards on each of my pages and there are. . . .
Use the information about Sally and her brother to find out how many children there are in the Brown family.
Annie and Ben are playing a game with a calculator. What was
Annie's secret number?
56 406 is the product of two consecutive numbers. What are these
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?
The clockmaker's wife cut up his birthday cake to look like a clock
face. Can you work out who received each piece?
Imagine a pyramid which is built in square layers of small cubes. If we number the cubes from the top, starting with 1, can you picture which cubes are directly below this first cube?
Can you replace the letters with numbers? Is there only one
solution in each case?
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?
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
What is the sum of all the three digit whole numbers?
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?
Ben’s class were making cutting up number tracks. First they
cut them into twos and added up the numbers on each piece. What
patterns could they see?
Using the statements, can you work out how many of each type of
rabbit there are in these pens?
Use your logical reasoning to work out how many cows and how many
sheep there are in each field.
Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.
An old game but lots of arithmetic!
This number has 903 digits. What is the sum of all 903 digits?
A game for 2 or more players with a pack of cards. Practise your
skills of addition, subtraction, multiplication and division to hit
the target score.
These sixteen children are standing in four lines of four, one
behind the other. They are each holding a card with a number on it.
Can you work out the missing numbers?
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?