GCSE Maths Class Notes Summary (30+ Topics) [Higher]
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Course
Maths
Institution
GCSE
Summarised class notes for GCSE Maths.
AQA exam board but can also apply to other exam boards.
For year 10 and 11 GCSE students.
I got a grade 8 (A/A*) using these notes!
More than 30 topics, such as:
1. x and y intercepts
2. Gradients
3. Equation of a straight line
4. Parallel and perpendi...
,x and y intercepts
• x -intercepts crosses the x-axis
• y-intercepts crosses the y-axis
• the y-axis is also the line "x = 0“
• the x-axis is also the line "y = 0"
• The x-intercept of a line is the point at which the line
crosses the x axis. ( i.e. where the y value equals 0 )
x-intercept = ( x, 0 )
• The y-intercept of a line is the point at which the line
crosses the y axis. ( i.e. where the x value equals 0 )
y-intercept = ( 0, y )
,Gradients
• M=gradient
• How steep the line is.
WITH GRAPH
• For every one across to the right,
how much does it go down/up. Find the The line AB passes
gradient of through the points
• If it goes up, then the gradient is the line that A(2, -1) and (6, k).
positive. passes The gradient of AB
• If it goes down, then the gradient is through (2, 1) is 5. Work out the
negative. and (5, 10). value of k.
WITHOUT GRAPH m=y2-y1/x2- 5=k+1/6-2
x1 5=k+1/4
• Y2-y1/x2-x1 m=10-1/5-2 20=k+1
m=9/3 19=k
m=3 k=19
, Equation of a straight line
• Y=mx+c is the equation of a straight line.
• M=gradient
• C=y-intercept
WITH GRAPH
• Find gradient and y-intercept .
WITHOUT GRAPH
• 1) Find gradient using y2-y1/x2-x1
• 2) Find y-intercept by substituting one of the coordinates
into the formula.
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