Probability
What is sample space in the context of Probability?
It refers to the total number of outcomes in an experiment.
Solve the equation: (x+8)(3x-1)=0
x=-8 , x=1/3
How do you determine if a function is linear, constant, or neither?
A function is linear if there is a constant gradient or the graph is a straight line.
What is the sin of 30º
1/2
Name the Quadrant where cos > 0 and sin < 0 >
Quadrant 4
What is the probability of picking a four in a deck of cards?
The probability is 4/52 or 1/13
Solve x2-6x-27=0
(x+3)(x-9)=0
x=-3, x=9
Solve 9a+28=4a+3
a=-5
What is the cos of 45º
sqrt2/2
What trigonometric functions are positive in Quadrant III ?
Tangent ( and cotangent)
What is the probability of getting 2 heads when three coins are flipped?
3/8
Solve: x2 -7 =0
x=
+_sqrt7
If line q has a slope of -2, what is the slope of any line perpendicular to q?
1/2
What is the tan of 60º?
sqrt3/3
What is the value of sin 270o?
-1
A spinner is divided into 4 equal sectors labelled A, B, C, and D.
A fair six-sided die is rolled at the same time.
Find the probability that the spinner lands on a vowel and the die shows an even number.
P(vowel) = 1/4
P(even) = 1/2
P(vowel) and P(even) = 1/8
This line crosses the vertex of a parabola and divides the parabola into 2 equal halves.
Axis of Symmetry
Write the equation of a line that passes through (-2,5) and has a gradient -3/4.
y=-3/4 x+7/2
What is sin 120o ?
sqrt3/2
What is the value of cos 450o ?
0
Bag 1 contains 3 red and 2 blue marbles.
Bag 2 contains 2 red and 4 blue marbles.
A fair coin is flipped:
If it lands heads, a marble is drawn from Bag 1.
If it lands tails, a marble is drawn from Bag 2.
Find the probability that a red marble is drawn.
7/15
This point is the centre of a parabola and can be a maximum or minimum, depending on the direction of the parabola.
Vertex or Turning point
Solve: (x+2)(x2 -1)=0
x=1,-1,-2
What is tan 90o ?
undefined
Solve sin x = 1 when
0<=x<=720
90o, 450o