| How do you convert m^2 to cm^2? | To convert ^2 to cm^2, when given the area, find the numbers that multiply to make the area
such as 3m^2 = 1m x 3m
convert them to cm = 100cm x 300cm
and their sum: 30,000cm^2 is the conversion. |
| What are the laws of indices? | 1^2 x 1^5 – same base – add
1^2 / 1^5 – same base – subtract
(2x^5) 4 – integer inside also multiply by Indice
3^2 x 2^-5 = 6^-3 – multiply then add |
| How do you do negative and fractional indices? | To do negative and fractional indices, when the number is whole put 1 over it and if the number is a fraction, flip it
And in both cases the negative indices then become positive and the expressions are simplified
And if an indice is negative and fractional first flip the fraction number then square root it |
| How do you express 8^k x 3^3k, as a power of 6? | Because 8^k and 3^3k do not share the same integer they must be changed to share the integer
make them both either X^k or X^3k
And because 8 = 2^3, 8^k becomes 2^3k x 3^3k
Now because they have the same integer they can be multiplied and = 6^3k – a power of 6 |
| If the compound interest per annum is 5% what do you multiply the input by? | If the compound interest per annum is 5% multiply the input by 1.05 because 100% = 5% = 105% |
| How do you enlarge by scale factor 2, without given coordinates? | To enlarge by scale factor 2, work out starting coordinates x 2
E.g. if the corner of a right-angled triangle is 3,1
enlarging by scale factor 2 means it would start from 6,2 and be 2x the size of shape A |
| What do you to do enlarge by scale factor ½? | To enlarge by scale factor ½ halve all the coordinates |
| How do you find the centre of enlargement? | To find the centre of enlargement
Find the number of squares along the x-axis then up the y-axis the given
centre is away from the shape A’s centre.
Now multiply/divide this if the scale factor is an integer/fraction
And the new number of squares is how many the coordinates will move along the -axis and up the y-axis to reach the starting centre of shape B |
