wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Final exam review semester 1 IB math studies

Total questions: 78

Worksheet time: 2hrs 2mins

Name
Class
Date
1.
Probability can be between what two numbers?
a)
10 and 20
b)
0 and 100
c)
0 and 1
d)
All Numbers are possible
2.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
3.
A store sells shirts that are either small, medium, or large. The colors are either red, blue, green, or white. What is the probability someone will select a large green shirt?
a)
1/3
b)
1/7
c)
1/9
d)
1/12
4.

If I roll a die 30 times, it should land on '4' five times. Is this an example of theoretical or experimental probability?

a)

Theoretical

b)

Experimental

5.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
6.
A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow. 
a)
4/121
b)
8/121
c)
3/121
d)
6/121
7.

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. Given that the first marble is blue and is not replaced, find the probability of drawing a second marble that is purple.

a)

3/5

b)

3/4

c)

3/20

d)

2/5

8.
How many total outfit options are represented?
a)
12
b)
22
c)
3
9.
What is the probability that they speak French given they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
10.
What is the probability that the person picked will be a boy given they speak German? 
a)
.7273
b)
.4
c)
.16
d)
.22
11.
Your drawer contains 6 red socks and 10 blue socks. It's too dark to see which are which, but you grab two anyway. What is the probability that both socks are red?
a)
5/15
b)
36/256
c)
1/3
d)
1/8
12.
The weather forecaster predicted it will be 4/5 chance of rain for Monday and 2/3 chance of rain for Tuesday. What is the probability it will rain both days?
a)
1/2
b)
20/15
c)
8/15
d)
6/8
13.
This symbol, ∧, means?
a)
and
b)
or 
c)
not 
d)
implies
14.
∼p ↔ q
a)
FTFF
b)
FFTF
c)
TFFT
d)
FTTF
15.
Original Statement: 
      If I am hungry then I will eat a whole pizza.
New Statement:
     If I am not hungry then I will eat a whole pizza.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
None of the above
16.
For the contrapositive we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
17.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
18.
9x9=81 89-8=81  
-74+7=
a)
-81
b)
81, obviously
c)
-67
d)
64
19.

If a rooster lays a egg on a slanted roof which side will it fall?

a)

down

b)

up

c)

left

d)

there is no egg

20.
Some months have 31 days. How many have 28?
a)
none
b)
1
c)
11
d)
12
21.
A farmer has 17 sheep and all but 9 die. How many are left?
a)
None
b)
8
c)
9
d)
17
22.
A plane crashes on the border of the U.S. and Canada. Where do you bury the survivors?
a)
the U.S.
b)
Canada
c)
exactly on the border
d)
nowhere
23.

There are 5 apples and you take 3. How many apples do you have?

a)

5

b)

3

c)

2

d)

0

24.

What is 3/7 chicken, 2/3 cat, and 2/4 goat?

a)

Pig

b)

Chicago

c)

Cow

d)

Bacon

25.
How many senior boys play football or wrestle?
a)
9
b)
21
c)
30
d)
39
26.

What is the probability that someone plays basketball?

a)

.50

b)

.68

c)

.52

d)

.46

27.
How many students do not ski or ice skate?
a)
10
b)
16
c)
22
d)
28
28.
What does the shaded region of the Venn diagram represent?
a)
P or S
b)
Only P or S
c)
P and S
d)
Only P and S
29.
What statement does the shaded region represent?
a)
A' ∩ B
b)
A ∩ B'
c)
A' ∪ B
d)
A ∪ B'
30.

Using a computer program, the chi-square test statistic for the commuter data is 5.37 with a P-value =0.00446. If we use a 5% sig level, what conclusion is appropriate?

a)

Fail to reject H0;

b)

Not enough information to answer

c)

Reject H0; .

31.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
32.
What is the Null Hypothesis
a)
The choice of coke is independent of gender
b)
The choice of coke is not independent of gender
33.
What is the
χ2 calculated value for the following situation.
a)
6.65
b)
6.66
c)
4.5
d)
6.3
34.
If the χ2 critical value = 5.99 and the
χ2 calculated value = 6.65 do you accept or reject the Ho hypothesis?
a)
Reject 
>
>
>
b)
accept
c)
there is not enough info to decide
35.
What are the degrees of freedom for the following χ² test?
a)
6
b)
2
c)
5
d)
36
36.
Find the calculated value for χ2
a)
7.94
b)
18.2
c)
5.62
d)
7.2
37.
What must be true about the expected values in a chi square test?
a)
greater than or equal to 2
b)
greater than or equal to 5
c)
greater than or equal to 10
d)
greater than or equal to 30
38.
The correlation coefficient r is a value between
a)
0 and 1
b)
0 and 100
c)
-1 and 1
d)
-2 and 2
39.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
40.
How many students have more than 1,000 songs on their MP3 player?
a)
5
b)
16
c)
10
d)
4
41.

What is the probability that the player will select a black ball?

a)

0.655

b)

0.315

c)

0.1

d)

0.24

42.
Sarah has two spinners.  Spinner A has six equal sections and spinner B has eight equal sections. Sarah will spin the two spinners at the same time.  What is the probability that both spinners will land on a color that is not red?
a)
1/6
b)
7/6
c)
4/7
d)
1/3
43.
What statement does the shaded region represent?
a)
A and B and C
b)
A or B and C
c)
B and C
d)
A or C
44.
What is P(not Sport | not Foreign Language)?
a)
23/26
b)
14/23
c)
3/13
d)
7/13
45.
What is P(not B | not A)?
a)
2/9
b)
1/2
c)
13/18
d)
9/13
46.

How do you turn the calculator on?

a)

press ON

b)

press 2nd ON

c)

press CLEAR

47.
Identify the zeros:
a)
x=2, x=6, x=-4
b)
(x+2)(x+6)(x-4)
c)
(x-2)(x-6)(x+4)
d)
x=-2, x=-6, x=4
48.

Solve using your calculator

a)

-3 and -8

b)

5 and -7

c)

-5 and 8

d)

4 and -8

49.

Find the square root of 18, rounded to 3 decimal places.

a)

4.243

b)

4.242

c)

9

d)

324

50.

Round 254.533 to 2 sig figs

a)

254.53

b)

2.54533

c)

250

d)

255

51.

Round 254.5433 to 2 decimal places

a)

254.54

b)

2.545433

c)

2.54 x 102

d)

254

52.
Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.
a)
If your insurance rates do not go up , then you have not maid a claim.
b)
If you do not make an insurance claim, then your rates will not go up.
c)
If your insurance rates go up, then you have made an insurance claim.
d)
If you make an insurance claim, then your rates will not go up.
53.
For the inverse we _________ the hypothesis and conclusion
a)
switch
b)
negate
c)
switch and negate
54.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
55.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
56.

This symbol,→ , means?

a)

and

b)

or

c)

not

d)

if, then

57.

What type of logic is this table showing:

a)

AND

b)

OR

c)

IF, THEN

58.

Is the argument represented in this truth table valid or invalid?

a)

Valid

b)

Invalid

59.

What is the name of that sign?

a)

Implication

b)

Negation

c)

Inclusive Disjunction

d)

Conjuction

60.

A tautology is always

a)

True

b)

False

61.

Find the final column of the truth table for p →\rightarrow  ~q.

a)

FTTT

b)

FFTT

c)

TTTT

d)

FTFT

62.

Find the final column of the truth table for (p  →\rightarrow  q) ∧\wedge  ~q.

a)

FFFT

b)

TFTT

c)

FTFT

d)

TTTF

63.

Use a truth table to determine if the statement is a tautology, self-contradiction, or neither.

[(p ∨\vee  q) ∧\wedge ~q] →\rightarrow  p

a)

neither

b)

tautology

c)

self-contradiction

64.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

a)

1/4

b)

1/2

c)

2/4

d)

3/4

65.

A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a faulty brand B battery is selected?

a)

0.28

b)

1/4

c)

0.42

d)

0.21

66.

A bag contains 3 lemons and 2 limes. A piece of fruit is taken from the bag and not put back. Then a second piece is taken. What is the probability of taking exactly 1 lemon?

a)

12/20

b)

6/20

c)

2/20

d)

18/20

67.

The probability of rain tomorrow is 1/4. If it does rain, the probability of school being closed is 2/5. If it does not rain, the probability of school being closed is 1/20. What is the probability that it rains and school is open?

a)

3/20

b)

2/20

c)

2/5

d)

1/4

68.

Machine A makes 60% of the bottles in a factory and machine B makes the others. Machine A breaks 3% of products it produces and Machine B breaks 4%. What percentage of all bottles get broken?

a)

3.4%

b)

3.2%

c)

3.5%

d)

3.8%

69.
a)

.286

b)

.625

c)

.0922

d)

.323

70.

What is the probability that a student does play a sport given they do not play an instrument?

a)

.2

b)

.222

c)

.10

d)

.5

71.

What is the probability that the person picked will be a boy given they speak german?

a)

.727

b)

.4

c)

.16

d)

.22

72.
What statement does the shaded region represent?
a)
A or B
b)
A and B
c)
A
d)
B
73.
What statement does the shaded region represent?
a)
A or B and C
b)
Not C
c)
A or B
d)
B and C or A
74.
What is the answer to the question in the image?
a)
18
b)
20
c)
29
d)
25
75.
What is P(Foreign language | Sport)?
a)
14/27
b)
7/12
c)
23/47
d)
37/47
76.
What is P(not sport | Foreign language)?
a)
23/37
b)
14/23
c)
14/37
d)
3/23
77.
What is P(A or B | C)?
a)
5/8
b)
5/16
c)
4/5
d)
11/16
78.
What is P(not B | not A)?
a)
2/9
b)
1/2
c)
13/18
d)
9/13

Similar Resources on Wayground

TRY OUT II TPA SAINTEK

80 questions

TRY OUT II TPA SAINTEK

quiz

Worksheet

•

1st Grade - Professio...

Polynomial Operations Review

80 questions

Polynomial Operations Review

quiz

Worksheet

•

11th Grade

Circles Review

81 questions

Circles Review

quiz

Worksheet

•

9th - 12th Grade

IM2A Unit 1 Section 1 Quiz Review (1.1-1.5)

77 questions

IM2A Unit 1 Section 1 Quiz Review (1.1-1.5)

quiz

Worksheet

•

9th - 11th Grade

Exponents

73 questions

Exponents

quiz

Worksheet

•

8th - 12th Grade

ACT Math Important Vocabulary

80 questions

ACT Math Important Vocabulary

quiz

Worksheet

•

11th Grade

KC Unit 3 Function operations and power function review

79 questions

KC Unit 3 Function operations and power function review

quiz

Worksheet

•

10th - 12th Grade

Earnings Calculations

81 questions

Earnings Calculations

quiz

Worksheet

•

12th Grade