Mathematics Pure 1. All Exam Questions and Correct Answers | Graded A+ | 2025/2026 Update|

Mathematics Pure 1. All Exam Questions and Correct Answers | Graded A+ |
2025/2026 Update|




Index Laws - - a^m * a^n = a^m+n
- a^m / a^n = a^m-n
- (a^m)^n = a^mn
- a^0 = 1
- a^-n = 1/a^n
- a^1/n = nsqrta
- a^m/n = (nsqrta)^m


Surd Laws -



Rationalising The Denominator -



Completing The Square -



Domain - The set of values that can be used as the input to the function.



Roots - The values which you obtain by putting values of the domain into the function.



Quadratic Graph -



Negative Quadratic Graph -



The Discriminant - b^2 - 4ac.

, - When this is greater than zero, there are two distinct real roots.
- When this is equal to zero, there are two equal real roots.
- When this is less than zero, there are no real roots.


Inequalities -



Quadratic Inequalities -



Cubic Graph -



Negative Cubic Graph -



Quartic Graph -



Negative Quartic Graph -



Vertical Transformation - y = f(x)+a



Horizontal Transformation - y = f(x+a)



Vertical Stretch - y = af(x), scale factor a.



Horizontal Stretch - y = f(ax), scale factor 1/a.



Reflection on X-Axis - y = -f(x)



Reflection on Y-Axis - y = f(-x)