Statistics & Probability
Describe what type of data 'time taken to get to school' is
continuous
Factorise 2x^2-11x-21
(2x+3)(x-7)
Find the midpoint of (2,4) and (4,8)
(3, 6)
Given f(x)=2x+3, g(x)=x^2 find fg(x)
fg(x)=2x^2+3
Write the exact value of sin(45)
1/sqrt2
Find the lower quartile from the data set
3, 5, 7, 10, 11, 15
5
Solve 0=3x^2-7x-6
3 or -2/3
13
Write down the range of x^2
y>=0
For an angle between 0 and 360 find the value of x for
sin(x)=1/2
30, 150
In a school of 145 students each was asked to choose one or more activities from sport, music and drama. 76 chose sport, 64 chose music and 40 chose drama. 12 students chose music and sport, 7 chose sport and drama and 21 chose both music and drama. How many chose all 3?
5
The equation 2x^2+5x+c=0 has no real roots. Find the values of c
c>25/8
Write the equation of the line that passes through the points (2,7) and (17,2)
y=-1/3x+23/3
Write down the domain of the function ln(x-2)
x>2
Write down the exact value of csc(60)
2/sqrt3
There are 5 red marbles in a bag and 3 blue.
If a marble is taken out, followed by a second and not replaced, what is the probability that one of each colour is chosen?
15/28
Find the vertex of the quadratic y=3x^2-6x+4
(1,1)
Find the perpendicular bisector of the points (1,1) and (9, 5)
y=-2x+13
Find the inverse of the function f(x)=2e^(x-1)
ln(0.5x)+1
Which quadrant is it if cot>0, csc<0 and sec<0
3rd
Use the GDC to find the line of regression for the data points (8, 7), (5, 12), (6, 15), (7, 7)
y=-2.3x+25.2
Write x^3+2x^2-5x-6 in the form (x-2)Q(x)+R
(x-2)(x^2+4x+3)
Find the centre of the circle and the radius of
x^2+6x+y^2-4x=9
(-3, 2) radius sqrt22
Find the asymptotes of the function g(x)=(2x-3)/(x+2)
y=2, x=-2
For angles between 0 and 360 solve sec(x)=2
60, 300