This activity is about square and cube numbers and their roots.
All answers are positive.
Square numbers are what we get when we multiply a number by itself.
Here's a reminder of the first five square numbers:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
Square roots are the numbers we multiply to get a square number.
So, 5 is the square root of 25.
Cube numbers are calculated by multiplying a number by itself, then by itself again!
Here's a reminder of the first three cube numbers:
So, we know that 5 x 5 x 5 = 125
125 is a cube number.
Which means that 5 is the cube root of 125.
Let's try an example question.
Example
Tom takes 3 cubed and adds 2 squared.
What number does he get?
Answer
3 cubed = 3 x 3 x 3 = 27
2 squared = 2 x 2 = 4
27 + 4 = 31
The answer is 31
Now let's try some questions about square and cube numbers, and their roots.