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Worksheets

Mathematics in the modern world

Total questions: 65

Worksheet time: 11hrs 50mins

Name
Class
Date
1.
How many students were greater than or equal to 60 inches tall?
a)
21
b)
11
c)
17
d)
6
2.
Which interval shows the greatest number of pets?
a)
15-19
b)
0-4
c)
5-9
d)
10-14
3.
How many cities have temperatures between 70 degrees and 99 degrees?
a)
44
b)
34
c)
26
d)
62
4.
Which interval has 4 students?
a)
56-59
b)
60-63
c)
60-67
d)
48-51
5.

How many total homes did Really Real Realty sell in 2009?

a)

49 homes

b)

25 homes

c)

63 homes

d)

unknown

6.
a)
Positive, strong
b)
Positive, weak
c)
Zero
d)
Negative, strong
7.
a)
Positive, strong
b)
Positive, weak
c)
Negative, strong
d)
Negative, weak
8.
a)
Positive, strong
b)
Positive, moderate
c)
Negative, strong
d)
Negative, moderate
9.

Which of the following best describes the correlation shown on the graph?

a)

negative correlation

b)

positive correlation

c)

no correlation

10.

Which of the following best describes the correlation shown on the graph?

a)

negative correlation

b)

positive correlation

c)

no correlation

11.

Which of the following best describes the correlation shown on the graph?

a)

negative correlation

b)

positive correlation

c)

no correlation

12.
Which statement best represents this relationship?
a)
There is no relationship between the number of miles driven and the amount of gas remaining in the tank
b)
As the number of miles driven increases, the amount of gas remaining in the tank increases.
c)
As the number of miles driven increases, the amount of gas remaining in the tank decreases.
d)
A relationship cannot be determined from this scatter plot
13.

Describe the correlation.

a)

Negative correlation

b)

No correlation

c)

Positive correlation

d)

Constant correlation

14.

What type of relationship does this scatter plot represent?

a)

Positive

b)

Negative

c)

No Relationship

d)

Constant

15.

Based on the scatterplot, which of the following conclusions about the relationship between her height and weight is true?

a)

There is a negative relationship between height and weight

b)

There is a positive relationship between height and weight

c)

There is a constant relationship between height and weight

d)

There is no relationship between height and weight

16.

Based on the scatter plot, which statement best describes the trend?

a)

As the daily temperature increases, the number of beach visitors increases.

b)

As the daily temperature decreases, the number of beach visitors increases.

c)

As the daily temperature increases, there is no change in the number of beach visitors

d)

As the daily temperature increases, the number of beach visitors decreases

17.

Describe the correlation coefficient if

r = 0.90

a)

Positive, weak

b)

Positive, strong

c)

Negative, weak

d)

Negative, strong

18.

Estimate the correlation coefficient.

a)

r is close to zero

b)

r is close to -1

c)

r is close to 1

d)

r is close to -1.5

e)

r is close to 1.5

19.

Estimate the correlation coefficient

a)

r = 1

b)

r = -1

c)

r ≈ -0.8

d)

r ≈ 0.8

e)

r ≈ -0.5

20.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

21.
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
22.

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

a)

$4403

b)

$4673

c)

$8483

d)

$6443

23.
What letter do we use to represent correlation coefficient?
a)
c
b)
r
c)
p
d)
h
24.

Which situation would earn you the most interest?

a)

Depositing $1,000 for a year at 5% compound interest, paid quarterly.

b)

Depositing $100 for a year at 5% compound interest, paid quarterly.

c)

Depositing $100 for a year at 5% simple interest, paid quarterly.

d)

Depositing $1,000 for a year at 5% simple interest, paid quarterly.

25.

Arnold invested $7000 in his account and he had $8050 after 4 years. What was the yearly interest rate (simple interest)?

a)

28.75%

b)

2.875%

c)

1.25%

d)

3.75%

26.

Let p and q represent the following simple statements.

p: This is a dog.

q: This is a mammal.


Write the compound statement in symbolic form.


If this is a dog, then it is a mammal.

a)

p→q

b)

q→p

c)

p∧q

d)

p∨q

27.

Let p and q represent the following simple statements.

p: This is a dog.

q: This is a mammal.


Write the compound statement in symbolic form.


If this is a mammal, then this is a dog.

a)

p→q

b)

q→p

c)

p∧q

d)

q∨p

28.

Let p and q represent the following simple statements.

p: This is a dog.

q: This is a mammal.


Write the compound statement in symbolic form.


If this is not a mammal, then this is not a dog.

a)

∼p∧∼q

b)

∼p→∼q

c)

∼q∧∼p

d)

∼q→∼p

29.

Let p and q represent the following simple statements.

p: This is a dog.

q: This is a mammal.


Write the compound statement in symbolic form.


If this is not a dog, then it is not a mammal.

a)

∼p→∼q

b)

∼q→∼p

c)

∼p v ∼q

d)

∼q v ∼p

30.
What is the symbol for NOT (negation)?
a)
b)
c)
~
d)
31.
What word is associated with a disjunction statement?
a)
and
b)
or
c)
If, then
d)
if and only if
32.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
33.

Let p and q represent the following simple statements;

p: Frank plays football.

q: Jamir runs track.

r: Edwin plays soccer.


Write each compound statements in symbolic form.


Frank plays football and Jamir runs track.

a)

p→q

b)

p↔q

c)

p Λ q

d)

p v q

34.

Let p and q represent the following simple statements;

p: Frank plays football.

q: Jamir runs track.

r: Edwin plays soccer.


Write each compound statements in symbolic form.


Edwin plays soccer if and only if Jamir runs track.

a)

r→q

b)

r ↔q

c)

rqr\wedge q

d)

rqr\vee q

35.

Let p and q represent the following simple statements;

p: Frank plays football.

q: Jamir runs track.

r: Edwin plays soccer.


Write each compound statements in symbolic form.


Jamir does not run track if and only if Frank does not play football.

a)

qp\sim q\leftrightarrow\sim p

b)

qp\sim q\rightarrow\sim p

c)

q p\sim q\ \vee\sim p

d)

qp\sim q\wedge\sim p

36.

An independent clause is a group of words with a subject and predicate that expresses a complete thought or idea.

a)

true

b)

false

37.

Simple sentences can NOT have more than one subject or verb.

a)

true

b)

false

38.

What type of sentence is this?


The boys ran to school yesterday afternoon.

a)

simple

b)

compound

39.

Is this a compound sentence?


The boys played with their toys, the girls ran to school.

a)

Yes

b)

No

40.

Conditional statements are expressions that result in either a yes or No result

a)

True

b)

False

41.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
42.
The simple interest formula is I=Prt.  What does the t represent?
a)
Principle
b)
Interest
c)
Time
d)
Percent Rate
43.
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
44.
The Arnold's took out a loan for $195,000 to purchase a home. At 4.3% interest rate compounded annually, how much will they have paid after 30 years?
a)
$412,749.79
b)
$529.305.61
c)
$689,546.99
d)
$640,891.53
45.

Which is better to have when you invest money?

a)

Compound Interest

b)

Simple Interest

c)

Good interest

d)

Simpound Interest

46.

Is the following sentence a Simple sentence or a Compound sentence?

" Mrs. Musto and Mrs. Gambler ate an entire pizza during lunch. "

a)

Simple Sentence

b)

Compound Sentence

47.
Is the following sentence a Simple Sentence or Compound Sentence?
I decided I really wanted to eat a pumpkin muffin, so I drove to the store to buy one. 
a)
Simple Sentence 
b)
Compound Sentence 
48.

What type of logic is this table showing:

a)

AND

b)

OR

c)

NOR

d)

IF, THEN

49.
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
50.
This symbol, ∧, means?
a)
and
b)
or 
c)
not 
d)
implies
51.
This symbol, ∨, means?
a)
and
b)
or
c)
not
d)
implies
52.

What are the truth values for ~p ∨ q

a)

T F T T

b)

T T F T

c)

T T T F

d)

F T T T

53.

Which is the proper negation for "she is happy"?

a)

she is angry

b)

she is sad

c)

she is not happy

d)

she is not angry

54.

Which is the proper negation for "he is not awake"?

a)

he is awake

b)

he is not asleep

c)

he is asleep

d)

he is not not awake

55.

A statement that has the opposite meaning, as well as an opposite truth value is called what?

a)

Logic

b)

Pyramid

c)

Disjunction

d)

Negation

56.
What is the converse to this statement?
a)
If it isn't dark outside, then it is not night.
b)
If it is night, then it is dark outside
c)
If it is not night, then it is not dark outside.
d)
It is night.
57.
What is the inverse to this statement?
a)
If you live in Canada, you live in Montreal
b)
If you don't live in Montreal, then you don't live in Canada.
c)
If you don't live in Canada, you don't live in Montreal.
d)
Montreal is in Brazil.
58.
What is this?
a)
Conditional Statement
b)
Inverse
c)
Converse
d)
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
59.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

60.

The statement "an angle is a right angle if and only if its measure is 90o" is an example of what type of statement?

a)

Conditional

b)

Conjecture

c)

Biconditional

61.
What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."
a)
If an angle has 90 degrees, then it is a right angle.
b)
If an angle is a right angle, then it has 90 degrees.
c)
An angle is a right angle if and only if it has 90 degrees.
62.

Identify the hypothesis and conclusion:

If  3x7=323x-7=32  , then  x=13.x=13.

a)

Hypothesis:  3x7=323x-7=32  
Conclusion: x=13x=13  

b)

Hypothesis: x=13x=13  
Conclusion:  3x7=323x-7=32  

63.

p: The girl wears a red hat.
q: The boy wears a blue coat.
Which of the following statements is equivalent to

pqp\wedge q  ?

a)

The girl wears a red hat and the boy wears a blue coat.

b)

The girl wears a red hat or the boy wears a blue coat.

c)

If the girl wears a red hat, then the boy wears a blue coat.

d)

The boy wears a blue coat if and only if the girl wears a red hat.

64.

Given:
p: It will rain on Saturday.
q: We will play in the park.

Write the following statement using logic symbols.
If it does not rain on Saturday, then we will play in the park.

a)

pq\sim p\rightarrow q  

b)

pqp\rightarrow q  

c)

pq\sim p\wedge q  

d)

qp\sim q\rightarrow p  

65.

Given:
p: Six students eat candy.
q: It rains on Tuesday.

Which of the following states:

qp\sim q\rightarrow\sim p  

a)

If it does not rain on Tuesday, then six students will not eat candy.

b)

If six students do not eat candy, then it does not rain on Tuesday.

c)

Six students do not eat candy, and it does not rain on Tuesday.

d)

It does not rain on Tuesday or six students will not eat candy.