Linear Functions
Quadratics
Statistics
Trigonometry
Expanding and Simplifying
100
What is the slope of this line:
y=4x+5
4
100
Solve:
(x-2)(x+3)=0
x=2 or -3
100
What values are the 5 number summary?
Min, Q1, Med, Q3, Max
100
What is Pythagoras Theorem to find a shorter side of a right angled Triangle?
a2=c2-b2
or
b2=c2-a2
100
Expand and Simplify
3x(x+4)=
3x2+12x
200
What is the perpendicular slope to y=(2/5)x+4
-5/2
200
Solve:
4(x+3)2=0
x=-3
200
What is the median of these numbers?
5,6,8,9,12,14,17,20
10.5
200
What is the length of the hypotenuse if the other two sides of a right angled triangle are 3cm and 4cm?
5cm
200
3-2x-5+4x
2x-2
300
What is the slope of this line?
4/5
300
Factorise:
y=16x2-25
y=(4x-5)(4x+5)
300
What is the IQR of these numbers?
5,6,8,9,12,14,18,20
IQR = 16-7
=9
300
sin 22 = b/30
300
Expand and simplify:
(2x+3)(2x-3)
4x2-9
400
What is the equation of this line?
y=-x+1
400
Factorise:
y=x2-5x -24
y=(x-8)(x+3)
400
Which value is more resistant to an outlier and why:
Mean or Median
Median - as adding one extra number will generally not change the middle number by much.
400
What is the bearing of B from A?
Bearing = 90+68
= 158 degrees
400
Expand and simplify
(2x+3)(x-4)
2x2-5x-12
500
Convert this line into General Form.
y=(-4/5)x+2
4x+5y=10
500
Factorise and solve:
x2-8x+16=0
(x-4)2=0
x=4
500
What number (x) will need to be scored for the following numbers to have a mean of 8?
4,5,8,10,12,x
9
i.e. Mean = 48/6=8
500
What is the bearing of A from B and what is the geometric name of the two 22 degree angles?
Bearing = 360-22
= 338 degrees
Alternate angles
500
2x(x+3)-(x-5)
2x2+6x-x+5
=2x2+5x+5