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Cosine Rule (for finding a side)
a² = b² + c² - 2bc CosA
Cosine Rule (for finding a angle)
Sine Rule (for finding a side)
Sine Rule (for finding a angle)
Pythagoras' Theorem
a² + b² = c²
Area Of a Triangle
½ ab SinC
SOH CAH TOA
Area Of circle
Volume Of Prism
area of cross section × length
Surds
A irrational number, a number which cannot be expressed as a fraction or as a terminating or recurring decimal. It is left as a square root. It can also be a non-cube number left in cube root form and so on.
Prime Factors
Lowest Common Multiple (LCM)
Highest Common Factor (HCF)
BIDMAS
Percentages
Standard Form
(+, −, ×, ÷)
Venn Diagrams
Expanding Brackets
Expanding Brackets 2
Factorising
Inequalities
Quadratic Formula
Polygons
Speed / Distance / Time
Tranformations
Rotation, Reflection, Translation and enlargement
Rotation
Rotational symmetry is where you can turn an object so that it looks exactly the same. The number of positions in which it looks exactly the same gives you its order of symmetry.
Reflection
When an object is transformed by a reflection the object and its image are always the same perpendicular distance from the mirror line. Perpendicular means 'at right angles to'. Examples:
Enlargement
When working out enlargements, you will need to know the scale factor and centre of enlargement. The scale factor tells us by how much the object has been enlarged. The centre of enlargement tells us where the enlargement is being measured from.
Translation
If we translate an object, we move it up or down or from side to side. But we do not change its shape, size or direction.
Enlargement
Sector of circle
Circle Theorems
3D Shapes (Volumes)
3D Shapes (Surface Area)
Mean
Is the average, add up all the numbers and divide by the number of numbers.
Median
Is the middle value, but them all in order and find the middle one.
Mode
Is the number that occurs the most frequently
Range
The difference between the lowest and the highest number
Tree Diagrams
Histograms
Note
Flashcard