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Standard Maths Preliminary Study
Standard Maths Preliminary Study
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Preliminary study notes for #standardmaths
Flashcards
104 cards
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Practice quiz
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Questions
104
Answers
1
relative frequency:
similar probabilities
equally likely events
an estimate of probability determined after experimentation
2
which prefix is smaller?
nano (n)
centi (c)
milli (m)
micro (μ)
3
a very convenient way of writing very large numbers
substitution
scientific notation
cursive
algebraically
4
annual leave loading is?
holiday pay
extra payment added onto holiday pay
a benefit for the beginning of the holiday period
extra tax for taking too many holidays in a year
5
which form of data collection is cheaper?
sample
census
6
what kind of income is received by a person during the financial year overall?
taxable income
net income
gross income
total income
7
what is the Medicare levy?
extra tax
money for health care
extra tax to fund our healthcare system
money that Medicare pays those who use it
8
(10N - 7.5H) ÷ 6.8M
BAC (female)
BAC (male)
9
f/Σf × 100%
experimental probability
relative frequency
10
the smallest unit on the measurement instrument
accuracy
precision
absolute error
11
a nominal value...
names categories for data to be sorted into
takes exact numbers from the result of counting
has an intrinsic order
takes any numerical value within a certain range
12
total income - allowable deductions is what kind of income?
gross income
total income
net income
taxable income
13
2πr is
area of a circle
volume of a circle
perimeter of a circle
circulatory
14
upper bound of true measurement is
× half the unit used to measure
÷ half the unit used to measure
+ half the unit used to measure
- half the unit used to measure
15
don't forget to add the two radii after finding the circumference length of a sector
Wait what?
Okay
16
Which is correct?
categorical variables have a numerical value
categorical variables describe a characteristic
17
which two statistical variables are numerical?
continuous and nominal
nominal and ordinal
discrete and ordinal
discrete and continuous
18
What does p.a. mean?
per annum
per year
past activities
please answer
19
what's 1.98 x 10
-3
1,980
-5.94
0.00198
-198
20
a multi-stage experiment is
made up of similar events
made up of a set of scores from different events
21
the number of important numbers/figures is known as?
important figures
significant numbers
significant figures
important numbers
22
a sample pulled from subgroups that have been made based on different characteristics(age, etc)
random sample
self-selected sample
stratified random sample
bias sample
23
a continuous value takes...
any numeric value within a certain range
categories of scores
an intrinsic order of scales or rankings
exact numerical values
24
That's Chapter 1 done. Are you ready for Chapter 2?
Yes
No
Wait! I'm not ready!
Break now, please?
25
what about a trapezium?
A = h/2(a + b)
A = (a°/360°) × πr2
A = ([a+b] ÷ 2)h
A = 𝒙r2
26
What is true?
365 days, 25 weeks, 54 fortnights, 12 months in a year
This is true
365 days, 52 weeks, 26 fortnights, 12 months in a year
366 days, 52 weeks, 26 fortnights, 12 months in a year
27
I = Prn
interest
simple interest
compound interest
depreciation
28
How is a Pareto Chart arranged
any way, it doesn't matter
descending order (biggest first)
ascending order (smallest first)
the same way as the table
29
the amount of space a solid occupies
surface area
perimeter
area
volume
30
Chapter 6: more finance. Are you ready?
yea
ugh
31
I = P(1 +r/n)
n
compound interest
depreciation
32
formula for the area of a rectangle
A = 1/2bh
A = bh
A = lb
A = 1/2xy
33
how is tax calculated?
via a tax table
through the government
by rich people
depends on your taxable income
34
GST is charged at?
10%
12%
4%
15%
35
total stopping time is
S=D/T
d = 0.01v2
reaction time + braking distance
braking distance - reaction time
36
What is superannuation and what is the base rate for it?
retirement savings and 9.5%
the best year ever! and 0.25%
retirement savings and 15%
9.5%
37
4/3πr
3
volume of a sphere
volume of a circle
volume of a cylinder
38
Chapter 1: Are You Ready?
I think so?
Yes I am
I'm not too sure right now
No, I am not
39
(Θ°÷360°) × 2πr
perimeter of a sector
perimeter of a triangle
perimeter of a circle
perimeter of a semi-circle
40
S/P: sock colour that a class of 25 wears to school
sample
population
41
which prefix is larger?
tera (T)
kilo (k)
mega (M)
giga (G)
42
S=D/T is the formula for what? (Don't stress)
average speed
stopping distance
reaction time
braking distance
43
± half of the unit used to measure is?
absolute error
absolute judgement
error in accuracy
44
what is commission?
purple bricks doesn't have it
a payment based on the percentage of a total product/service
a payment based on continual sales
45
which equation has β as the subject of the formula?
𝒙 = α - β
β = - 𝒙 + α
α = 𝒙 + β
46
volume (mL) ÷ time (hours)
dosage
drip rate
flow rate
blood absorption rate
47
We'll skip over most of Chapter 7. What is a "Pareto Chart"?
bar graph with a cumulative frequency ogive
bar graph with a line graph
column graph with a line graph
column graph with a cumulative frequency ogive
48
more than one event occurring to make up a set of scores
multi-stage experiment
double experiment
bi-event
multi-stage event
49
T/F: a number can only be written in scientific notation if it is the product of two numbers
true
false
50
the area of a 3D shape
surface area
perimeter
volume
area
51
T/F: V = Ah
false
true
52
what is 56,789,000 to three significant figures?
56,800,000
561
5.6789 x 107
567.89
53
which two statistical variables are categorical?
continuous and discrete
nominal and continuous
nominal and ordinal
ordinal and discrete
54
S/P: the data retained after every citizen answered a common question
sample
population
55
Phew. Chapter 2 is done. Are you ready for Chapter 3?
hit me
my brain hurts
yes
I think so
56
T/F: 1mL = 1cm
3
false
true
57
Chapter 3 done! Are you ready for Chapter 4?
yes!
I think my brain is dead
maybe
no!
58
T/F: when solving an equation, everything you do to the left, you do to the right
true
false
59
piecework is paid...
the work it takes to make a piece
based on an amount per item produced
for each item produced
60
T/F: the number being expressed must be greater than ten
false
true
61
which two prefixes are furthest away from each other in the prefix size table?
kilo and nano
giga and micro
centi and mega
milli and tera
62
T/F: if any of the equation does not follow these laws, the no. is still in scientific notation
false
true
63
Chapter 8: more statistics. Are you Ready?
ew statistics
yes
64
all possible outcomes of an experiment
sample
possibilities
random
sample space
65
a discrete variable takes...
any numerical value within a certain range
scales/rankings of data
exact numerical values
categories of sorted data
66
what is royalty?
a payment based on a percentage of continuing sales
a payment for royal people
67
what is a bonus
an added privilege
extra payment an employee receives for working hard
extra money
a reward
68
how many millimetres in a kilometre?
100
10
1,000,000
1,000
69
2πr
2
+ 2πrh
surface area of a cylinder
surface area of a sphere
70
data produced that does not accurately reflect population characteristics
bias sample
self-selected sample
sample
population
71
an entire group from which information is sought
sample
self-selected sample
biased sample
population
72
participants choose to be apart of this
bias sample
sample
self-selected sample
population
73
straight-line depreciation
I = P(1-r)n
S = V0 - Dn
74
the amount of fluid a container can hold
volume
mass
capacity
75
T/F: the second number in the expression has to be to 10
?
true
false
76
which equation uses substitution?
8 = 7b + 4, b = 4/7
for m=3 & n=7, find m + n
77
the outside distance of a shape
circumference
volume
perimeter
area
78
N = 0.789 × V × A
BAC
standard drinks
79
equal chance of being selected
random sample
sample
self-selected sample
bias sample
80
an ordinal value has...
a numerical range of values
categories for scores to be sorted into
an intrinsic order which is presented as scales or rankings
exact numbers as a result of counting
81
collected information from a small selection of the population
bias sample
population
sample
self-selected sample
82
T/F: in a linear equation, the power of an integer can be no higher than 1
false
true
83
(10N - 7.5H) ÷ 5.5M
BAC (female)
BAC (male)
84
what is overtime?
a bonus added onto employee break times
a bonus added onto employee tax
the amount of extra time an employee works
a bonus paid for extra hours worked
85
the letter that replaces a number in an equation is known as?
𝒙
𝒚
substitution
pronumeral
86
what is time-and-a-half?
a bonus
extra break time
one and a half times the hourly rate of an employees salary
an encouragement
87
Chapter 4 done! Shape up (tee hee) for Chapter 5
please, no more
Yes! Shapes!
okay
give me a break!
88
a methodic way of choosing a sample
random sample
self-selecting sample
stratified random sample
systematic sample
89
what is a salary?
a type of income
a type of finance
a fixed payment despite the hours an individual has worked
a fixed payment based on the hours worked by an individual
90
lower bound of true measurement is
× half the unit used to measure
+ half the unit used to measure
÷ half the unit used to measure
- half the unit used to measure
91
Which one of these payments does the government pay to eligible citizens?
pensions
GST
taxes
allowances
92
which is correct
a numerical variable has a numerical value
a numerical variable describes a characteristic
93
what formula do you use for a child aged 1 - 2 years of age when calculating dosages?
clark's formula
fried's formula
guy's formula
Young's formula
94
What is the amount a worker receives in total called?
a salary
gross income
net income
a wage
95
T = BAC ÷ 0.015
The time it takes for a drinker to consume 1 standard drink
The time it takes for the body to absorb alcohol
The time it takes for BAC to fall to zero
96
What is a wage?
A type of income
A fixed amount earned despite the hours worked
An amount earned based on hours worked
A fixed regular payment typically paid monthly
97
what is a net?
a net?
a flat (unfolded) solid shape
a string like thing
98
what is double time?
a bonus added onto a pay
a bonus where an employee is paid double their usual salary
when an employee works double their allocated shift time
a bonus for an employee working longer hours
99
Trapezoidal rule (you won't get this wrong)
h/2 (df + dl)
h/2 (df + dl)
h/2 (df + dl)
h/2 (df + dl)
100
for a 3D quadrangle, how would you calculate surface area?
area of both sides, top and bottom, front and back
area x length
area of side, front & top x 2
perimeter of all 6 sides
101
change in value ÷ original value × 100%
percentage change
net worth
profit
gross income
102
net income is...
gross income - deductions
the amount a net makes
all deductions
deductions - gross income
103
Surface area of a sphere: formula
A = 4πr2
A = 8πr2
A = 6πr2
A = 2πr2
104
T/F: 1kL = 1m
3
true
false
