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Math Yr 9 CT1
Manifesting that I will get full marks *please*
| Question | Answer |
|---|---|
| Increasing amounts | (100% + y%)x |
| Decreasing amounts | (100% - y%)x |
| Turning Recurring decimals into fractions | x = 0.7777... 10x = 7.777... 9x = 7 Therefore x = 7/9 |
| Finding percentage increase/decrease | new amount/previous amount x 100 |
| Taxable Income | Total Income - tax deductions |
| Simple Interest | I = Prn (P = amount, r = rate (decimal), n = no. periods) |
| Compound Interest | A = P(1+r)^n (P = amount, r = rate (decimal), n = no. periods) |
| Depreciation | A = P(1-r)^n (P = amount, r = rate (decimal), n = no. periods) |
| Circumference | 2π r |
| Arc Length | θ/360 x 2π r |
| Area of Parallelogram | bh |
| Area of Triangle | bh/2 |
| Area of Trapezium | h/2(a+b) |
| Area of Kite | xy |
| Area of Rhombus | xy/2 |
| Volume of Cylinder | (π r^2)h |
| When do you flip the inequality sign when solving inequalities? | When the negative is being moved to the other side |
| What is the substitution method? | the value gets subbed out with the equivalent to it so that only one unknown exists. After finding that value, you go back and solve for the other value. |
| What is the elimination method? | make the values of one of the unknowns cancel out by adding or subtracting the equations, leaving only one unknown in the equation. After finding that value, you go back and solve for the other value. |
| a^m x a^n | a^m+n |
| a^m/a^n | a^m-n |
| (a^m)^n | a^mn |
| a^0 | 1 |
| a^-m | 1/a^m |
| (a/b)^-m | (b/a)^m |
| a^-1 | 1/a |
| (a/b)^-1 | b/a |
| How to go from scientific notation to a regular number? | you times the decimal number by 10^x, where x is how many spots the decimal spot should move backwards/forwards |
| How to go from regular number to scientific notation? | you use 10^x and make x the amount of places that the decimal point must move before the number in the ones spot become a number larger than 0. |
| a^1/2 | square root a |
| a^1/n | n root of a |
| a^m/n | n root of a^m |
| a^-m/n | (1/a)^m/n |