Types of Number

1x1 = 1 2x2 = 4 3x3 = 9 4x4 = 16 5x5 = 25 6x6 = 36

7x7 = 49 8x8 = 64 9x9 = 81 10x10 = 100 11x11 = 121 12x12 = 144

13x13 = 169 14x14 = 196 15x15 = 225

The differences between the square numbers are the ODD numbers.

Make sure you learn the first 15 square numbers and can do them without a calculator. You will also need to know the square roots of the first 15 square numbers.

1x1x1 = 1 2x2x2 = 8 3x3x3 = 27 4x4x4 = 64 5x5x5 = 125

6x6x6 = 216 7x7x7 = 343 8x8x8 = 512 9x9x9 = 729 10x10x10=1000

Make sure you know the cubes of 2, 3, 4, 5 and 10 OFF BY HEART.

Powers are 'numbers mupltipled by themselves so many times'.

'Two to the power of three' = 2x2x2 = 8

The first five powers of two are: The first five powers of 10 are:

2 (two to the power of one)  10 (ten to the power of one)

4 (two to the power of two) 100 (ten to the power of two)

8 (two to the power of three) 1000 (ten to the power of three)

16 (two to the power of four) 10,000 (ten to the power of four)

32 (two to the power of five) 100, 000 (ten to the power of five)

Prime numbers are numbers that are only divisible by themselves and one.

1 IS NOT A PRIME NUMBER!

Apart from 2 and 5, all prime numbers end in 1, 3, 7 or 9.

The first 14 prime numbers are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 37, 41 and 43.

Not all numbers ending in 1, 3, 7 or 9 are prime numbers. 

To find any primes up to 120, divide the number by 3 and 7. If the answer is a whole number, it is not prime. If the answer is a decimal, it is a prime number.