Probability
Statistics
Two-way Tables and Venn Diagrams
Linear graphs
Geometry
100
A fair coin is tossed 20 times. What is the theoretical probability of obtaining heads? Simplify your answer.
P(H) = 1/2
100
Which sampling method has been utilised in the following sample?
All meteorologists are asked to predict the number of cyclones Australia will have in the coming summer.
Judgemental sample.
100
Use the two-way table below to determine how many students were surveyed.
| Soccer | Tennis |
Boys | 5 | 20 | 25
Girls | 10 | 3 | 13
| 15 | 23 | 38
38 total.
100
Write the coordinate for the origin.
(0,0)
100
What is the complement of 76 degrees?
14 degrees
200
A spinner numbered 1-4 was spun a certain number of times and the following results were achieved.
Outcome 1 | 2 | 3 | 4
Frequency 7 | 26 | 9 | 58
How many trials were conducted?
100 trials
(add all the frequencies)
200
Write an example of a convenience sample.
Asking students in 8 Aqua who their favourite teacher is.
200
Using the table, what is the probability that a boy likes tennis?
| Soccer | Tennis |
Boys | 5 | 20 | 25
Girls | 10 | 3 | 13
| 15 | 23 | 38
20/25
= 4/5
200
Which term of the general linear equation (y=mx+c) indicates the y-intercept?
c
200
List the four congruency tests.
- SSS
- SAS
- ASA
- RHS
300
If event (A) is your test falling on a Friday, list the complement of that event using correct notation.
A' = Monday, Tuesday, Wednesday, Thursday, Saturday, Sunday.
300
Calculate the median of the following data set.
24, 12, 18, 14, 10, 14, 25, 22
16
300
What is the probability a student owns a bird?
Pr (bird) = 15/40 = 3/8
300
Identify the x-intercept of the following graph:
(-1.5,0)
300
List one of the three properties of a parallelogram.
- both pairs of opposite sides equal in length.
- both pairs of opposite angles are equal.
- the diagonals bisect each other.
400
The sum of all probabilities, theoretical and experimental should equal ___?
1
400
A sample of 150 frogs were collected from a lake, tagged and released. The following year, a second sample of 120 frogs was taken. Of these, 12 had tags. What is the estimated frog population of the lake?
Population = 120/12x150 = 1500 frogs.
400
Use the table below to determine what is the probability the girls surveyed are right handed?
| Left Handed | Right Handed |
Boys | 17 | | 35
Girls | | |
| 29 | | 70
P(GNR) = 23/70
400
Find the rule that describes the following relationship:
y=4/3x+4
400
Show that the below pair of triangles are congruent, showing all working.
BC=YZ (S)
AC=ZX (H)
angle ABC = angle XYZ (A-R)
therefore triangle ABC is congruent to triangle XYZ (RHS).
500
At a birthday party, some cans of soft drink were put in a container of ice. There were 16 cans of Coke, 20 cans of Sprite, 13 cans of Fanta, 8 cans of Sunkist and 15 cans of Pepsi.
If a can was picked at random, what is the probability that it was not a can of Fanta?
59/72
P(F') = 1 - P(F)
or P(C) + P(S) + P(Su) + P(P)
500
Calculate the mean, rounding the answer to two decimal places.
45, 62, 78, 63, 64, 29, 32, 30
50.38
500
Represent the Venn diagram information in a two-way table.
| S | S' |
B | 9 | 12 | 21
B' | 15 | 10 | 25
| 24 | 22 | 46
500
Find the rule for the following table of values:
y=-8x+6
500
Find angle n.
C rule - n+angle = 180-60=120
C rule - angle = 180-110 = 70
n=120-70 = 50 degrees