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MATH MODELS FINAL - 3ST SEMESTER

Total questions: 50

Worksheet time: 4hrs 50mins

Name
Class
Date
1.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years? I = prt (You have to add the principal to the interest)

a)

$150

b)

$192

c)

$1350

d)

$1392

2.

Starting money = $350.

Interest rate = 2.5%

TIme = 3 years.

How much interest?

I = PRT

a)

$7.50

b)

$26.25

c)

$87.5

d)

$262.50

3.

Principal = $800

Interest Rate = 3.5%

Time = 2 years

Find the interest earned.

I = PRT

a)

56

b)

140

c)

168

d)

16.80

4.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that? Remember your time has to be in YEARS!! 6 months is half of a year or .5

I = PRT

a)

$120

b)

$144

c)

$1,200

d)

$1,440

5.

Caiden earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% in simple interest. What will be his balance after 15 years?

I = PRT you need to add principal to the interest

a)

$270.75

b)

$745.75

c)

$2,707.50

d)

$846.80

6.

Principal = $500

Interest rate =5%

Time = 5 years

What is the interest earned?

I = PRT

a)

95

b)

105

c)

125

d)

135

7.
What does the "r" in the interest formula stand for?
a)
Principal
b)
Interest
c)
rate
d)
time
8.
What does the "p" in the interest formula stand for?
a)
Principal
b)
Interest
c)
rate
d)
time
9.
The rate is given as a percent (%).  Before using it in the simple interest formula, you must first convert it to a______.
a)
fraction
b)
decimal
c)
ratio
d)
dollar amount
10.

John put 14,000 Euros in an account at a simple interest rate of 1% per year. How much interest will he get after 12 years?

I = PRT

a)

16,800 Euros

b)

168,000 Euros

c)

1,680 Euros

11.
What does the "I" in the interest formula stand for?
a)
Principal
b)
Interest
c)
Rate
d)
Time
12.

True of False: Before you can calculate INTEREST your time must be in YEARS!

a)

FALSE

b)

TRUE

13.
Write the percent as a decimal. 
4.3%
a)
4.3
b)
.43
c)
.043
d)
4300
14.
Write the percent as a decimal. 
5%
a)
5
b)
.5
c)
.05
d)
500
15.
Write the percent as a decimal. 
3.25%
a)
.0325
b)
.325
c)
3250
d)
32.5
16.
9 months is how many years? Remember there are 12 months in a year. 
9/12 = x/100
Cross multiply and divide 
a)
.5
b)
.75
c)
.25
17.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
18.
What is the probability of rolling an even number on a dice. The dice is numbered 1-6.
a)
3/6
b)
1/2
c)
1/6
d)
5/6
19.
Based on the chart, what is the probability of pulling a green marble?
a)
1/8
b)
8/25
c)
8/100
d)
7/8
20.
What is the probability of getting any letter that is not A?
a)
6/8
b)
3/4
c)
2/8
d)
1/4
21.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
22.
Sam is fishing in a new catch and release pond that was just stocked with 3 bluegill, 4 catfish, 7 bass, and 2 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 
a)
1/40
b)
1/8
c)
3/124
d)
5/16
23.
A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 
a)
9/49
b)
4/125
c)
1/10
d)
1/30
24.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
25.
Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. 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
26.
Find the Maximum
a)
68
b)
98
c)
85
d)
93
27.
Find the Minimum
a)
98
b)
85
c)
68
d)
93
28.
Find the Median
a)
98
b)
93
c)
78
d)
85
29.

80 sixth grade students picked their favorite elective. Which is closest to the total number of students that picked band and choir?

a)

80

b)

4

c)

40

d)

20

30.

If 200 people were surveyed, approximately how many people like pepperoni and cheese as their topping?

a)

100 people

b)

150 people

c)

50 people

d)

75%

31.

What fraction of votes did the hamster get?

a)

6/10

b)

3

c)

6/20

d)

30%

32.

What fraction of cars were sold on Monday?

a)

3/28

b)

4

c)

14%

d)

4/28

33.
What is the mean of these numbers?
4,5,5,2,3,3,2,8
a)
40
b)
24
c)
4
d)
256
34.
Find the median:
3, 5, 7, 4, 3, 1
a)
3 and 4
b)
There isn't one
c)
3.5
d)
3
35.
On the semester final, Joe scored 85, Jill scored 89, and Bill scored a 99.What was the average score for these students? _________
a)
91
b)
273
36.
What is the definition of the mean?
a)
The average
b)
The middle number
c)
The difference between the highest and lowest numbers
d)
The number that occurs the most
37.
When finding the median, what do you do if there are two middle numbers?
a)
Add them together and divide by 2
b)
Write them both as the answer
c)
Give up
d)
Pick one
38.
The number of miles that Kiki cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Kiki cycled?
a)
24
b)
36
c)
39
d)
52
39.
In order to find the median, the data must be sorted from least to greatest first.
a)
True
b)
False
40.
Lizzy had test scores of:   72, 94, 108, 60
What is the RANGE of her test scores?
a)
12
b)
72
c)
48
d)
98
41.

Look at the bar graph, "Nicest Fruit". What does the x-axis show?

a)

Types of fruit

b)

The number of people.

42.

Look at the bar graph, "Nicest Fruit". What does the y-axis show?

a)

Types of fruit

b)

Number of people.

43.

Look at the Bar Graph "Student Grades". Which grade did the smallest number of students get?

a)

A

b)

B

c)

C

d)

D

44.
How many votes did reading receive?
a)
2
b)
4
c)
6
d)
8
45.
25% as a decimal:  
a)
0.25
b)
02.5
c)
25
d)
2500
46.
2% as a decimal:
a)
0.02
b)
0.2
c)
2
d)
20
47.

Alexis worked 24 hours last week. At a rate of $12 per hour, what was Alexis' gross pay?

a)

$36

b)

$144

c)

$288

d)

$312

48.

Net income is:

a)

the total amount of money you earn

b)

the amount of money you receive after deductions are subtracted from your gross income

c)

the amount of money that is taken away in the form of taxes

d)

the hourly rate of pay

49.

Gross income minus deductions equals your net income.

If Amorelle made $384 in gross income and her deductions are $122, what is her net income?

a)

$506

b)

$406

c)

$262

d)

$266

50.

Marco has the following deductions listed.

Federal Income tax: $44

Social Security tax: $23

Medicare tax: $5

Health Insurance: $24

What is the total amount of his deductions?

a)

$39

b)

$67

c)

$91

d)

$96

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