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Interactive game. Set your own level of challenge, practise your table skills and beat your previous best score.
Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?
Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.
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.
This article for teachers describes how number arrays can be a useful reprentation for many number concepts.
The tasks in this feature are all about practising times tables, but with a difference...
We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?
Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!
Vedic Sutra is one of many ancient Indian sutras which involves a cross subtraction method. Can you give a good explanation of WHY it works?
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 tasks in this feature encourage learners to become fluent with times tables, but with a difference...
In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?
Can you complete this jigsaw of the multiplication square?
How many tables of each type does Mark need at his birthday party?
Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?
Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?
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?
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.
Algebra problems that require careful consideration.
Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.
This article explores the use of the array to support children's thinking around multiplication and division.
Jane accidentally multiplied by 54 instead of 45, and her answer was 198 too big. What number did she multiply 54 by?
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.
In November, Liz was interviewed for an article on a parents' website about learning times tables. Read the article here.
Use Excel to explore multiplication of fractions.
Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?
Can you find a way to identify times tables after they have been shifted up or down?
Weekly Problem 32 - 2015
Can you work out the missing numbers in this multiplication magic square?
In the multiplication table on the right, only some of the numbers have been given. What is the value of A+B+C+D+E?
Algebra problems for inquiring students.
Flash interactives for upper primary.
Pick a square within a multiplication square and add the numbers on each diagonal. What do you notice?
Learn about the rules for a group and the different groups of 4 elements by doing some simple puzzles.
An account of multiplication of vectors, both scalar products and vector products.
Try these problems, which are all about multiplying and dividing different numbers.
Multiplication Square Poster - March 2007
What is our approach about?
Working on these Stage 3 problems will help you develop a better understanding of patterns and sequences.
Does a graph of the triangular numbers cross a graph of the six times table? If so, where? Will a graph of the square numbers cross the times table too?
The number 2.525252525252.... can be written as a fraction. What is the sum of the denominator and numerator?
In the multiplication calculation, some of the digits have been replaced by letters and others by asterisks. Can you reconstruct the original multiplication?
List of articles for probability from problems
These problems allow Stage 3 and 4 students to explore and describe sequences, and explain the patterns they notice.