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# 9 Maths S2

### Exam Revision

The general equation for a straight line is ? y=mx + c
In y=mx + c, the gradient is ? m
In y=mx + c, the y-intercept is ? c
The y-intercept is the place where the line cuts which axis? the y axis
The x-intercept is the spot where the line cuts which axis? the x axis
The co-ordinates are written as ? (x, y)
To calculate gradient from a graph, we can use gradient = rise ÷ run
To calculate gradient from 2 points, we use the formula m= (y2-y1)÷(x2-x1)
Does the x-axis go left to right or up and down? left and right
Does the y-axis go left to right or up and down? up and down
To calculate the side of a right angled triangle, given 2 sides we use... Pythagoras' theorem
To calculate the length of the hypotenuse, we use the rule c squared = a squared plus b squared, c = square root of answer
To calculate the length of the shorter side, we use the rule a squared = c squared minus b squared, a = square root of answer
In a right angled triangle, c is known as the hypotenuse
SOA means sin(angle) = length of the opposite side ÷ length of the hypotenuse
CAH means cos(angle) = length of the adjacent side ÷ length of the hypotenuse
TOA means tan (angle) = length of the opposite side ÷ length of the adjacent side
If sin(angle) = 0.5, the angle is sin-1(0.5) = 30 degrees
In a census, we interview everyone involved
In a survey, we interview a sample of the population
Types of data: is your name nominal or categorical categorical
Type of data: height is a nominal data - but is it discrete or continuous continuous
How many suits in a pack of cards four
How many diamonds in a pack of cards 13
How many cards altogether in a pack of cards 52
The first 5 prime numbers are: 2, 3, 5, 7 ,11
Rate of change is another word for gradient
The rule for speed is distance ÷ time
How many seconds in a day? 60*60*24=86400
If y is directly proportional to x, we can say that y= ? y=k*x where k is the constant of proportionality (same as the gradient)
How do we calculate mean? Add up the scores. Divide by how many scores there were. (Same as the average)
What is the mode? The most common value. A data set can have more than 1 mode.
What is the median? The middle value.
What is the range? The largest value minus the smallest value.
Created by: srolfe