Free Printable Math 1001 Final Exam Review

1.

Round 0.376 to the nearest hundredth.

a)

0.4

b)

0.476

c)

0.38

d)

0.37

2.

Round 3,645 to the nearest hundred.

a)

3,600

b)

3,700

c)

3,650

d)

4,000

3.

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

a)

3:5

b)

1:3

c)

3:11

d)

3:10

4.

Solve the proportion for z.

a)

21

b)

7

c)

8

d)

24

5.

If a scale distance of 3.5 cm on a map represents an actual distance of 175 km, what actual distance does a scale distance of 5.7 cm represent?

a)

.114 kilometers

b)

107 kilometers

c)

285 kilometers

d)

613 kilometers

6.

Write 0.14 as a percent.

a)

1.4%

b)

140%

c)

14%

d)

0.14%

7.

Write 5% as a decimal.

a)

5

b)

0.5

c)

0.05

d)

0.005

8.

3 quarts = ___ pints

NOTE: There are 2 pints in 1 quart.

a)

2 pints

b)

6 pints

c)

12 pints

d)

9 pints

9.

If 1 mile = 5280 feet, convert 45.19 miles to feet.

a)

0.008559 feet

b)

0.8559 feet

c)

23,860.32 feet

d)

238,603.2 feet

10.

If 1 pound = 16 ounces, convert 70 ounces to pounds.

a)

1,120 pounds

b)

4.375 pounds

c)

4,375 poounds

d)

4 pounds

11.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

12.

Four pounds of bananas cost $6. What is the cost per pound of bananas?

a)

$24 per pound

b)

$1.50 per pound

c)

$1 per pound

d)

$6 per pound

13.

Which is the better deal?
Oreos
$2.98 for 15 oz
OR
Chips Ahoy
$2.50 for 14 oz

a)

Oreos

b)

Chips Ahoy

c)

They are the same.

14.

What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73

a)

32, 62

b)

42, 63

c)

43, 63

d)

42, 62

15.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

16.

Which is a counterexample to the following statement?

If you add two numbers, then the sum is ALWAYS odd.

a)

2+5=7

b)

3+2=5

c)

1+8=9

d)

2+4=6

17.

Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded.

a)

Deductive

b)

Inductive

18.

p represents "Brent works this summer"

q represents "Brent takes a vacation"

Which symbols best represent the statement: "If Brent works this summer then he will not take a vacation." ?

a)

p → q

b)

q→ p

c)

p → ~q

d)

~p → ~q

19.

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

[(p $\rightarrow$ q) $\wedge$ q] $\rightarrow$ p

a)

neither

b)

tautology

c)

self-contradiction

20.

Translate the following argument into symbols. Choose the correct answer below.

If the bus is on time, I will get to class on time. I got to class on time. Therefore, the bus was on time.

a)

(p ∧ q) ∨ p ⇒ q

b)

(p → q) ∧ q ⇒ p

c)

(p → q) ∨ q ⇒ p

d)

(p ∧ q) ∧ p ⇒ q

21.

Translate the following argument into symbols. Choose the correct answer below.

Either this milk has expired, or I am sick. The milk hasn’t expired. Therefore, I must be sick.

a)

(~p ∧ q) ∨ p ⇒ q

b)

(p → ~q) ∨ q ⇒ ~p

c)

(p ∨ q) ∧ ~p ⇒ q

d)

(p → q) ∧ ~p ⇒ ~q

22.

Choose a negation for the following statement :

41 is a prime number.

a)

One of the prime numbers is 41.

b)

41 is not a prime number.

c)

41 is an odd number.

d)

41 is not an even number.

23.

Determine which one is a statement.

a)

Go home!

b)

A prime number has 2 factors.

c)

χ + γ

d)

Express 2300 in standard form.

e)

Money is the root of all evil.

24.

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

HINT: Complete the Truth Table. Use the completed Truth Table to answer the question.

a)

Valid

b)

Invalid

25.

Find the final column of the truth table for

~(q $\rightarrow$ p).

a)

FFTF

b)

TTFF

c)

FFFF

d)

TTFT

26.

If $g\left(x\right)=\frac{4}{3}x+\frac{7}{9}$ what is the value of $g\left(3\right)$ ?

a)

$g\left(3\right)=\frac{43}{9}$

b)

$g\left(3\right)=\frac{19}{9}$

c)

$g\left(3\right)=\frac{47}{9}$

d)

$g\left(3\right)=\frac{34}{9}$

27.

Given f(x) = 2x² + 5x - 17,

find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

28.

Find the slope of the line that passes through the points: (6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

29.

Find the equation of the line that passes through the points: (1, 4) and (2, 1)

a)

y = -3x + 1

b)

y = -3x + 4

c)

y = -3x - 7

d)

y = -3x + 7

30.

Starting money = $350. Interest rate = 2.5% Time = 3 years.

How much is the simple interest?

a)

$7.50

b)

$26.25

c)

$87.5

d)

$262.50

31.

Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% simple interest. If she spent $7400 on furniture, how much will she have paid in total after 8 years?

a)

$5624

b)

$13,024

c)

$56,240

d)

$1302.40

32.

What's the vertex of the following quadratic function?

f(x) = 2x² - 8x + 11

a)

(-2, 3)

b)

(3, 2)

c)

(2, 3)

d)

(3, -2)

33.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. t is time in seconds and s(t) is the object's height which is represented by the function:

s(t) = –16t² + 64t + 80. What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

34.

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h(t) after t seconds is given by the function: h(t) = -16t² +128t When will the object reach its maximum height?

a)

4 ft

b)

0 seconds

c)

0 ft

d)

4 seconds

35.

f (x) = 5^x

Find f(4) .

a)

20

b)

625

c)

125

d)

25

36.

Compound Interest:

Suppose Karen has $2000 that she invests in an account that pays 3% interest compounded quarterly. How much money does Karen have at the end of 5 years?

a)

$2,322.37

b)

$8,495.70

c)

$2,321.94

37.

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much in total will he have paid after 5 years?

a)

$33,299.42

b)

$33,672.68

c)

$34,157.04

d)

$34,710.88

38.

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. A piece is selected at random. What is the probability it is lemon?

a)

3

b)

1/10

c)

3/10

d)

30%

39.

Randomly draw one card from a standard deck. Find P(Ace). Recall, this means find the probability the card selected was an Ace.

a)

1/13

b)

1/4

c)

4/13

d)

1/52

40.

Sam's team has scored the following numbers of goals in recent games presented as raw data.

2, 3, 1, 2, 1, 3, 2, 4, 5, 4, 2

What is the mode value of the score?

a)

2

b)

3

c)

4

d)

5

41.

Sam's team has scored the following numbers of goals in recent games presented as raw data.

1, 2, 1, 3, 4, 5, 2, 3, 4, 2

What is the median value of the score?

a)

2.5

b)

3

c)

3.5

d)

4

42.

How many people are between 159.5 cm and 179.5 cm tall?

a)

It cannot be determined.

b)

5

c)

7

d)

12

43.

How many people visited the cinema twice?

a)

28

b)

20

c)

25

d)

30

44.

Find the mean of these numbers:
2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

45.

Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the sample standard deviation of Ervin's scores?

a)

511.33

b)

22.61

c)

438.48

d)

20.94

46.

Find the range of the data.

16, 28, 6, 19, 21, 15, 22, 33, 17

a)

18

b)

27

c)

30

d)

12

47.

Mrs. Trahan has a class of 30 students. She samples her class by selecting every third person on her class list. Which type of sampling method is this?

a)

Random

b)

Systematic

c)

Stratified

d)

Cluster

48.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the regression line to predict how many chapters would be in a book with 120 pages.

a)

10 chapters

b)

12 chapters

c)

15 chapters

d)

18 chapters

49.

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

a)

10 miles

b)

617.5 miles

c)

0.19 miles

d)

500 miles

50.

Determine the line of best fit for the data shown.

a)

$y\ =\ -10.63x-3.80$

b)

$y=3.88x-10.63$

c)

$y=3.87x+0.90$

d)

$y=3.88x-11$

51.

Which statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.

a)

If a person is not a musician, then the person is not a banjo player.

b)

If a person is not a banjo player, then the person is a musician.

c)

If a person is not a banjo player, then the person is not a musician.

d)

If a person is a musician, then the person is a banjo player.

52.

A 30 oz. jar of mayonnaise is on sale for $2.99
What is the price PER ounce?

a)

$10.03 per ounce

b)

$27.01 per ounce

c)

$0.99 per ounce

d)

$0.10 per ounce

53.

Harry mowed eight lawns and earned $96. How much did he earn for each lawn?

a)

$96

b)

$12

c)

$768

d)

$8

54.

Julian bought three mangos for $2.70. How many mangos can Jay buy if he has $37.80?

a)

34

b)

47

c)

54

d)

42

55.

You have a class photo that is 10 inches long and 8 inches wide if you want to enlarge your photo to be 15 inches long how wide would it be.

a)

16 in.

b)

9 in.

c)

12 in.

d)

15 in.

56.

The ratio of pencils to erasers is 4 to 5. If the total number of pencils and erasers is 27, how many of each do you have?

a)

12 pencils and 15 erasers

b)

15 pencils and 12 erasers

c)

14 pencils and 13 erasers

d)

13 pencils and 14 erasers

57.

Which equation of the line matches this graph?

a)

y = 3x - 2

b)

y = -2x + 3

c)

$y\ =\ \frac{1}{2}x\ +\ 3$

d)

$y\ =\ -\frac{1}{2}x\ +\ 3$

58.

Give the coordinates for POINT C.

a)

(4, -2)

b)

(-2, 4)

c)

(-2, -4)

d)

(4, 2)

Math 1001 Final Exam Review

Total questions: 58

Worksheet time: 3hrs 3mins

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