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Year 12 Essential Maths IA4 Revision Quiz

Total questions: 85

Worksheet time: 3hrs 51mins

Name
Class
Date
1.

What is the coordinate of B?

a)

(2, -2)

b)

(-2, 2)

c)

(2, 3)

d)

(3, 2)

2.

If the rule is y= 38x + 20, what are the missing values in the table?

a)

20 and 25

b)

38 and 25

c)

20 and 201

d)

38 and 210

3.

Two coins are tossed as part of an experiment and the results are recorded. What is the sample space for this experiment?

a)

H, T

b)

HH, HT, TH, TT

c)

HH, TT

d)

HT, TH

4.

Two dice are rolled and their numbers are added. What is the probability of rolling a sum of 7?

a)

P(7) = 1/6

b)

P(7) = 5/36

c)

P(7) = 7/36

d)

P(7) = 1/3

5.

Emma wants to purchase a formal dress worth $500 to wear to the formal this year. She borrows the total from the bank and has to pay it off over 3 years at 10% p.a. simple interest. What is the total interest that Emma pays over this time?

a)

$550

b)

$650

c)

$50

d)

$150

6.

Talitha wants to see how much fertiliser helps her plants produce the most beans. What is the independent and dependent variables?

a)

Independent: Amount of Fertiliser

Dependant: Number of beans per plant

b)

Independent: Number of beans per plant

Dependant: Amount of Fertiliser

c)

Independent: Talitha

Dependant: Number of beans per plant

d)

Independent: Talitha

Dependant: Amount of Fertiliser

7.

Jasmine opens up her sock drawer to get a pair of socks to wear to school.

What is the probability of Jazmine picking two red socks?

a)

P(RR) = 2/9

b)

P(RR) = 1/3

c)

P(RR) = 2/3

d)

P(RR) = 1/9

8.

A group of students recorded the colours of 100 vehicles passing the school in a one-hour period. Their results are in the table.

Calculate the probability of a white or yellow vehicle passing the school

a)

P(White or yellow) = 46/100

b)

P(White or yellow) = 49/100

c)

P(White or yellow) = 27/100

d)

P(White or yellow) = 3/100

9.

A normal dice is thrown and a coin tossed as part of an experiment and results noted. Find the probability that either a 1 or 2 is rolled.

a)

P(1 or 2) = 1/3

b)

P(1 or 2) = 4/12

c)

P(1 or 2) = 1/2

d)

P(1 or 2) = 1/6

10.

The cartesian plane below shows Taylor's location (T) when she landed from skydiving. What is her coordinates?

a)

(4,3)

b)

(1.5,2)

c)

(3,4)

d)

(2,1.5)

11.

Emma is a hairdresser and charges a call out fee of $20 and $30 an hour per hour. This can be mapped by the equation y = $30x + 20. Use this equation to determine the correct table of values.

a)

b)

c)

12.

Mrs Coal invests $4000 for 5 years at 2.6% p.a to save up for a trip to Malta. Interest is compounded yearly. How much will be in her bank account at the end of two years?

(a)  

13.

What type of correlation does this data have?

a)

Weak, positive

b)

Moderately strong, negative

c)

Strong, negative

d)

Strong, positive

14.

Identify the independent variable

a)

Math Test scores for Year 12 Students

b)

Test score out of 60

c)

Number of hours of revision

d)

No idea!

15.

What is the dependent variable?

a)

Math Test scores for Year 12 students

b)

Test score out of 60

c)

Number of hours of revision

16.

Jasper conducts a simulation which she recorded the colour of each car that passed in front of the school. The results are in the diagram.

What is the probability that the next car that passes the school is Blue?

a)

3/25

b)

1/4

c)

1/10

d)

4/25

17.

What is the probability that the next car is either Black or White?

a)

4/25

b)

5/25

c)

9/25

d)

24/25

18.

Calculate the relative frequency of a yellow car passing.

a)

3/25

b)

0.12

c)

0.82

d)

22/25

19.

What is the probability of selecting a red card from a standard deck of cards?

a)

1/2

b)

1/4

c)

12/52

d)

24/52

20.

Probability is...

a)

The chance something will happen

b)

How often an event occurs

c)

Only something we can theorise about

d)

Can only be calculated after an experiment

21.

If someone said to you "there's an outside chance it will rain today" this means that:

a)

It is certain to rain

b)

It is impossible for it to rain

c)

It is unlikely that it is going to rain

d)

It is likely that it is going to rain

22.

The probability of an event occurring is a number between 0 - 1

a)

True

b)

False

23.

The picture represents the way to record:

a)

Experimental probability

b)

Theoretical probability

24.

The colour of the cars in a school car park is recorded and shown in the table pictured. Based on this sample what is the probability that a randomly chosen car is purple?

a)

1.5/50

b)

3

c)

3/100

d)

10/100

25.

A letter is selected at random from the expression: Wow Jordan is actually at school today". What is the probability that the letter is a vowel?

a)

12/32

b)

20/32

c)

3/8

d)

12/30

26.

What is the correct way to write down the probability of landing on a red segment?

a)

3/8

b)

Pr (red): 3/8

c)

Probability = 3/8

d)

3/7

27.

Isoa is going to select a card at random from a normal pack of 52 cards. Which of the following events is the more likely?

a)

An ace

b)

A heart

c)

A black 8

d)

A red card

28.

Luke is playing a game in a casino. Each time he plays he has a 3/20 chance of winning. Approximately how many times can Luke expect to win if the plays the game 14 times?

a)

1

b)

2

c)

3

d)

4

29.

What is the complement for passing a test?

a)

Not passing

b)

Failing

c)

Succeeding

d)

Doing well

30.

If the probability of passing a test is 0.55, what is the probability of not passing?

a)

0.40

b)

0.5

c)

0.45

d)

0.55

31.

Chloe finds it hard to get out of bed in the morning. On any day the probability that she is late to school is 0.3. What is the probability that Chloe will be late to school tomorrow and the following day?

a)

0.6

b)

0.09

c)

0.06

d)

0.3

32.

Using the probability of Chloe being late to school as 0.3, what is the probability that she will be on time for school the next two days?

a)

0.09

b)

0.21

c)

0.49

d)

1.4

33.

The correlation is positive if the y variable generally increases as the x variable increases.

a)

True

b)

False

34.

Choose two words from those listed below to best describe the correlation between the two variables.

a)

strong

b)

weak

c)

positive

d)

negative

35.

Choose two words from those listed below to best describe the correlation between the two variables.

a)

strong

b)

weak

c)

positive

d)

negative

36.

Choose two words from those listed below to best describe the correlation between the two variables.

a)

strong

b)

weak

c)

positive

d)

negative

37.

This time-series graph shows the temperature over the course of 8 hours of a day. State the temperature at 12 noon.

a)

20

b)

24

c)

28

d)

30

38.

What was the maximum temperature?

a)

36

b)

32

c)

28

d)

24

39.
What type of correlation does this scatter plot show?
a)
positive 
b)
negative
c)
no correlation
d)
nonlinear association
40.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

41.
Select the statement that best describes the line.
a)
The line is the line of best fit.
b)
The line is NOT a line of best fit because it does not pass through two points.
c)
The line is NOT a line of best fit because it does not go through the middle of the data set.
d)
The line is NOT a line of best fit because it does not go through the origin.
42.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
43.

How long does it take to type 60 words?

a)

3 min

b)

4 min

c)

3.5 min

d)

4.5 min

44.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
45.

You have a 3 tops, 2 pants and 2 shoes. How many total outfit options are represented?

a)

12 outfits

b)

22 outfits

c)

3 outfits

d)

7 outfits

46.
a)
6
b)
12
c)
2
d)
10
47.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

48.

What is the probability that you will get mushrooms on your pizza?

a)

2/10

b)

2

c)

2/5

49.

What is the probability that player A and Player B will not tie?

a)

3/9

b)

6/9

c)

2/9

d)

even chance

50.

How many total have no cell phone?

a)

13

b)

9

c)

22

d)

100

51.

What number should go in the blue box?

a)

21

b)

135

c)

19

d)

22

52.

How many attended the basketball game but did not attend the school play?

a)

63

b)

55

c)

118

d)

88

53.

How many were surveyed?

a)

53

b)

68

c)

109

d)

121

54.

Two dice are rolled and the results for each dice are recorded in a table. Identify how many possible outcomes there are in the sample space.

a)

6

b)

36

c)

12

d)

72

55.

From your table, calculate the probability of rolling two even numbers in a row.

a)

0.5

b)

0.25

c)

0.4

d)

0.75

56.

Calculate the probability of rolling two 3's in a row.

a)

1/2

b)

1/18

c)

3/4

d)

1/36

57.

Level 1

y=x-6

What is the missing number?

a)

12

b)

10

c)

14

d)

13

58.

Level 2 If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

a)

5

b)

4

c)

22

d)

23

59.

Level 3 Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

60.

Find the missing OUTPUT value.

a)

8

b)

-2

c)

2

d)

-8

61.

Find the missing OUTPUT value.

a)

8

b)

-2

c)

2

d)

-8

62.

What is the independent variable in this graph?

a)

Color

b)

Number of Students

c)

Blue

d)

Green

63.

What is the dependent variable in this graph?

a)

Purple

b)

Colors

c)

Blue

d)

Number of students

64.

The X- axis has which variable?

a)

Year

b)

Students

c)

Scholarships

d)

25

65.

The Henley’s took out a new home loan for $195,000 at a simple interest rate of 4.3%. How much will they pay in interest after 30 years?

a)

$446,550

b)

$2515.50

c)

$25,155

d)

$251,550

66.

Shawn is buying a new jet ski for $12,500. His Credit Union offers 8.5% simple interest. How much interest will Shawn pay on his Jet Ski after 18 months?

a)

$1593.75

b)

$19,125

c)

$159,375

d)

$14,093.75

67.

Dan borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back IN TOTAL after 2 years?

a)

$150

b)

$1350

c)

$192

d)

$1392

68.

How much interest will be earned for principal of $2,000 at and 8% rate for 5 years.

a)

$160

b)

$80,000

c)

$800

d)

$16

69.
Your 3 year investment of $20,000 received 5.2% interest compounded annually.  What is your total return?
a)
$23,285.05
b)
$3,285.05
c)
$2,385
d)
$32,285
70.
You borrowed $59,000 for 2 years at 11% which was compounded annually.  What total will you pay back?
a)
$13,693.90
b)
$1,363.90
c)
$72,693.90
d)
$73,793.90
71.
Your 6 year investment of $40,000 at 14% interest compounded annually is worth how much now?
a)
$47,798.90
b)
$87,798.90
c)
$127,798
d)
$7,798
72.
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
73.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
74.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
75.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
76.
What is the ordered pair?
a)
(8, 2)
b)
(2,7)
c)
(2,8)
d)
(8,3)
77.
What letter is at (7,7)
a)
There is no letter at those coordinates.
b)
L
c)
D
d)
X
78.

A die was rolled repeatedly. The table display the frequency of each possible outcome from this experiment. What is the relative frequency of rolling a 3?

a)

19

b)

1/6

c)

3/19

d)

19/100

79.
What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school? 
a)
4%
b)
14%
c)
13%
d)
29%
80.
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
a)
$1,225,54
b)
$2,225.54
c)
$22,255.40
d)
$225.54
81.
Change 6.75% to a decimal.
a)
67.5
b)
.675
c)
675
d)
.0675
82.
Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?
a)
$827.52
b)
$831.10
c)
$839.45
d)
$846.80
83.

How many push-ups did they do Wednesday?

a)

70

b)

5

c)

25

d)

15

84.

Level 4: The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the line of best fit to predict how many chapters would be in a book with 140 pages.

a)

12 chapters

b)

19 chapters

c)

14 chapters

d)

21 chapters

85.

What is the approximate volume of 300 g according to the graph above?

a)

200 mL

b)

250 mL

c)

300 mL

d)

350 mL

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