Times Tables and Number Puzzles (1)

There are a number of puzzles that help you with your multiplication tables, but which do not fit into any particular group, so I have divided them up into two sets, an easier set and a harder set.

This is the easier set;

Here we go:

Puzzle 1:

‘Consecutive numbers’ are numbers that are next to each other in a sequence.

For example, 56,  57,  58 are consecutive whole numbers.

5, 7, 9, 11, 13 are consecutive odd numbers

4, 9, 16, 35 are consecutive square numbers.

Now you understand that, here’s the puzzle.

900 is the product of two consecutive square numbers. What are they?
(‘Product’ means the answer when you multiply two numbers together.)


Puzzle 2:

Choose a single digit. Suppose you choose 4. Multiply 4 by 9 to get 36 and then multiply 12 345 678 by 36.

What do you get?

Now try it again with another single digit number. Suppose you choose 5. Multiply 5 by 9 to get 45 and then multiply 12 345 678 x 45.

What do you get?

Try this with other single digit numbers.

Can you explain the answer?



Puzzle 3:

Using multiplication, what is the largest number you can make using 5 digits of your choice. For example, if you chose the digits  3, 5, 6, 8, 9, you could try sums such as   685 x 39  or  893 x 65.

Can you find the biggest answer for the digits you have chosen? You could ask other people in your family to help you with the multiplication!


Puzzle 4:

How many numbers can you make using just four 4’s and any mathematical signs you know?  

Can you arrange the four 4’s to get all the numbers up to 10 ?

Can you go further?

If you know the square root sign () and what it means, you can use that too.