List of Facts and Formulae to Memorise: Higher Tier

The first five square numbers are 1, 4, 9, 16, and 25.

The first five square numbers are 1, 2, 3, 4, and 5.

The first five square numbers are 2, 4, 6, 8, and 10.

The first five square numbers are 1, 3, 6, 10, and 15.

The first five cube numbers are 1, 8, 27, 64, and 125.

The first five cube numbers are 1, 4, 9, 16, and 25.

The first five cube numbers are 1, 2, 3, 4, and 5.

The first five cube numbers are 1, 10, 100, 1000, and 10000.

2, 4, 8, 16, 32

1, 3, 5, 7, 9

10, 20, 30, 40, 50

3, 6, 9, 12, 15

1, 3, 6, 10, 15

2, 4, 8, 16, 32

5, 10, 20, 35, 56

3, 6, 9, 12, 15

0, 1, 1, 2, 3, 5, 8, 13, 21, 34

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

1, 1, 2, 4, 7, 11, 18, 29, 47, 76

2, 3, 5, 7

4, 6, 8, 9

10, 12, 14, 15

16, 18, 20, 21

$$a^m * a^n = a^{(m+n)}$$

$$a^m * a^n = a^{(m-n)}$$

$$a^m * a^n = a^{(m*n)}$$

$$a^m * a^n = a^{(m/n)}$$

$$a^m / a^n = a^{(m-n)}$$

$$a^m / a^n = a^{(m+n)}$$

$$a^m / a^n = a^{(m*n)}$$

$$a^m / a^n = a^{(m/n)}$$

The formula for a power of zero is: $$a^0$$ = 1, where a is any non-zero number.

The formula for a power of zero is: $$a^0$$ = 0, where a is any non-zero number.

The formula for a power of zero is: $$a^0 = a$$ , where a is any non-zero number.

The formula for a power of zero is: a^0 = -1, where a is any non-zero number.

The formula for a negative power is $$a^{-n} = \frac{1}{a^{n}}$$

The formula for a negative power is $$a^{(-n)} = a^{(n)}$$

The formula for a negative power is $$a^{-n} = -a^{n}$$

The formula for a negative power is $$a^{-n} = a^{n-1}$$