Download final exam - ChiArtsAlgebraOne

Question Bank – Unit 1 – CPb
DIAGNOSTIC
FINAL EXAM
UNIT EXAM
A.1.1/BOA 201: Perform one-operation computation with whole numbers and
decimals (13 – 15)
1. A family buying school clothes for their two children spends $25.37 at one store,
$39.41 at another, and $52 at a third store. What is the total amount spent at the
three stores?
DIAGNOSTIC & UNIT EXAM
a.
b.
c.
d.
e.
$55.20
$56.20
$110.78
$116.78
$119.78
2. A 4-H Club member is raising a lamb to take to the county fair. If she spent $75 for
the lamb, $26.50 for feed, and $35.89 for shearing tools, what was the total cost of
the project?
3. Shaquita buys $4.57 worth of candy. If she pays for the candy with a $10 bill, how
much change should she receive?
4. Suppose you eat dinner in a restaurant and the bill comes to $16.76. If you give the
cashier a $20 bill and a penny, how much change should you receive?
5. Suppose you buy some tools at the hardware store and the bill comes to $37.87. If
you give the cashier two $20 bills and 2 pennies, how much change should you
receive?
6. What is 476 x 52?
a.
b.
c.
d.
e.
528
952
3,332
24,752
33,320
7. What is 0.003 + 4.1?
a.
b.
c.
d.
e.
4.003
4.1003
4.103
4.13
4.4
8. Calculate: 81.6  34 = ?
a.
2
b. 2.4
c.
3
d.
24
e. 47.6
9. Anna finds $20.07 in her purse. She goes to McDonald’s and pays $8.35 for lunch.
How much allowance is remaining?
a.
b.
c.
d.
e.
2.40 dollars
11.72 dollars
12.35 dollars
12.72 dollars
28.42 dollars
10. Jim’s car can travel 300 miles on a full tank of gas. If Jim starts a trip with his car’s
gas tank full and drives 178 miles, how much farther can he travel without filling up
the gas tank again?
a.
b.
c.
d.
e.
187 miles
178 miles
152 miles
132 miles
122 miles
11. A barrel contained 5.75 liters of water and 4.5 liters evaporated. How many liters of
water remain in the barrel?
a.
b.
c.
d.
0.75
1.25
1.75
2.25
e. 13.25
12. John bought an iPod online for $75.99. He then sold it to his friend for $88.50. How
much money did he make?
a.
b.
c.
d.
e.
$12.49
$12.51
$13.01
$13.49
$13.51
13. A ChiArts musical event must make $780 in order to break even. If each ticket costs
$6, how many tickets must be sold to break even?
a.
b.
c.
d.
e.
125
130
138
180
774
14. A sports shop has 4 boxes of shin guards. Each box has 24 sets of shin guards. How
many sets of shin guards does the sport shop have?
a.
6
b. 20
c.
28
d. 96
e. 100
15. Zero Gravity, a 21 and under dance club in the suburbs, must make $1350 to break
even for the night. If each person is charged an $8 cover charge, how many people
must come in for the club to break even?
a. 29
b. 64
c. 168
d. 169
e. 200
16. Kimberly needs to pack 444 plastic toys evenly into 12 shipping crates. How many
plastic toys will he need to put in each crate?
a. 37
b. 45
c. 111
d. 540
e. 570
A.1.2/BOA 202: Solve problems in one or two steps using whole numbers (13 – 15)
1. Concert Tickets: Tickets for a concert cost $6 for adults and $3 for children. One of
the performances is attended by 300 adults and 80 children. Use the information
given here to answer the following questions.
a. How many people attended the concert?
b. How many more adults were in attendance than children?
c. How much money was taken in from adults’ tickets?
d. How much money was taken in from children’s tickets?
2. Justin earns $12 per hour the first 8 hours he works and $18 per hour for each hour
after that. How much does Justin earn for working a 12-hour day?
3. A student pays $475 rent each month. How much money does she spend on rent in
2 years?
4. John, Mark and Sally are triplets. Their mom bought them a bag of skittles to share.
There are 156 skittles in the bag. If they each get the same amount of skittles, how
much do the two boys get combined?
a.
b.
c.
d.
e.
52 skittles
78 skittles
104 skittles
312 skittles
468 skittles
5. Darien has 6 boxes of baseball cards on each of 3 shelves. Each box contains 311
cards. How many football cards does Darien have?
a.
9
b.
18
c.
933
d. 1,866
e. 5,598
6. Ten boxes of books were delivered to the school library. There were 50 books in
each box, except for the last box, which contained only 40 books. How many books
did the library receive in this delivery?
a.
b.
c.
d.
e.
50
450
490
500
540
A.1.3/BOA 203: Perform common conversions (13 – 15)
1. Change 639.87 centimeters to meters.
a. 0.063987
b. 6.3987
c. 63.987
d. 63987
e. 638970
2. Change 379 millimeters to kilometers.
3. If a person high jumps 6 feet 8 inches, how many inches is the jump?
4. Standard-sized notebook paper is 21.6 centimeters wide. Express this width in
millimeters.
5. A dollar bill is about 6.5 centimeters wide. Express this width in millimeters.
6. Most new pencils are 19 centimeters long. Express this length in meters.
a.
190
b.
19
c.
1.9
d. 0.19
e. 0.019
7. **A very small unit of measure in the metric system is the micron (abbreviated  m).
There are 1,000  m in 1 millimeter. How many microns are in 12 centimeters?
8. How many inches are in 4 feet 7 inches?
a.
b.
c.
d.
47
50
55
65
e. 87
9. How many inches are equal to 5 feet 8 inches?
a.
b.
c.
d.
e.
58
60
68
72
96
10. Maggie’s dad is 6ft. 3in. tall. How tall is he in inches?
a.
b.
c.
d.
e.
3 inches
18 inches
63 inches
72 inches
75 inches
11. A skateboard is 54 inches long. How many feet long is the board?
a.
b.
c.
d.
e.
2.7
4.5
4.6
5.4
5.5
12. Which is the same as 150 minutes?
a.
b.
c.
d.
e.
1.5 hours
2 hours
2.5 hours
3 hours
5 hours
13. How many seconds are there from 1:14pm to 1:25pm?
a.
b.
c.
d.
e.
11 seconds
540 seconds
550 seconds
660 seconds
1,100 seconds
14. Porche took a nap from 2:43pm to 3:09pm. How many seconds did she sleep?
a.
b.
c.
d.
26
66
1,560
97,560
e. 237,600
A.2.1/BOA 301: Solve routine one-step arithmetic problems (using whole numbers,
fractions and decimals) such as single-step percent (16 – 19)
1. The temperature on Monday was 29.75 degrees. The temperature on Tuesday was
25.5 degrees. Determine the change in temperature from Monday to Tuesday.
a. – 4.25 degrees
b. – 3.25 degrees
c.
3.25 degrees
d. 4.25 degrees
e. 55.25 degrees
A.2.2/BOA302: Solve some routine two-step arithmetic problems (16-19)
1. Which expression does NOT have the same value as 11  (11)  (11) ?
a.
– 33
b. 3(–11)
c.
(11)3
d. 33 – 66
e.
– 21 + (–12)
2. Simplify  3 322 1 .
a. – 36
b. – 6
c.
0
d.
6
e.
36
1
3 is equal to:
3. The expression
1
1
6
a. 3
b. 4
c. 8
38
d.
7
133
e.
3
6
4. Suppose you have $95 in your checking account. You pay for a $35 sweater using your debit
card. Then you deposit a $32 check. The next day you withdraw $16. What is the balance in
your account?
a.
b.
c.
d.
e.
$178
$145
$81
$76
$13
5. Your class is going on a camping trip. There are 171 students in your class and each person
must pay $8 for food and equipment and $3 for transportation. Your class treasurer has
collected $1,320. How many people still need to pay their $11?
(Note: assume no partial payments were made.)
a.
6
b.
11
c.
51
d. 120
e. 165
6.
During the past month, you withdrew $22 from your savings account and then deposited $24. If your
balance at the end of the month is $120, how much did you have in your account at the beginning of
the month?
a.
b.
c.
d.
e.
$74
$118
$122
$166
$186
A.3.1/BOA 401: Solve routine two-step or three-step arithmetic problems…
1. Simplify the following: 5 2  (12  4)  4  6
a.
b.
c.
d.
e.
9
31
36
51
66
2. (3  2)  15  4  3  ?
a. 10
b. 12
1
3
c. 13
d. 13
2
3
e. 14
3. 3  4  (7  4)  3  ?
a.
b.
c.
d.
e.
19
18
17
16
15
4. (16  4)  3  7  2  5  ?
a. 1
b. 2
c. 3
d. 4
e. 5
5. 7  (5  7)  8  2  ?
a.
b.
c.
d.
e.
28
32
54
62
68
6. (21  7)  (25  17)  4  3  ?
a. 50
b. 75
c. 100
d. 125
e. 150
7. Solve the following expression using the order of operations: 3  2[4  (9  3)]
a.
b.
c.
d.
e.
18
27
33
42
72
8. Solve the following expression using the order of operations: 3  (0  7)  8  2
a.
b.
c.
d.
e.
– 13/4
– 19
– 17
– 1/2
5
9. What is the value of the expression 8(9)  6(3) ?
a.
– 90
b. – 54
c.
75
d.
54
e.
90
10. What is the value of 7 2  2[3  2(5  1)]?
a. 940
b.
27
c.
0
d. – 8
e. – 9
11. Simplify the expression: 3 15  3  4
2

a.
b.
c.
d.
e.
9
18
36
48
108

B.1.2/PSDA 202: Perform a single computation using information from a table or
chart (13 – 15)
1. Refer to the chart below for the next 2 problems.
Digital music album prices
A sampling of prices among digital music services:
Album/Artist
iTunes
Wal-Mart
D12 World, D12
Damita Jo, Janet Jackson
30 #1 Hits, Elvis Presley
Feels Like Home, Norah
Jones
Up, Shania Twain
Source: USA TODAY
research
$11.99
$13.99
$9.99
$12.87
$9.44
$9.44
$27.28
$9.44
MusicNo
w
$13.99
$13.99
$13.99
$9.99
$9.99
$17.44
$13.99
Musicmatc
h
$20.79
$12.49
$9.99
$11.99
Napster
$9.99
$18.81
$9.95
$13.95
$9.95
$13.95
If you paid the highest price for each of the five albums, how much money would you
spend?
a.
b.
c.
d.
e.
$94.82
$94.86
$93.74
$66.61
$27.28
If you paid the lowest price for each of the five albums, how much money would you spend?
B.1.2/PSD 202:Perform a single computation using information from a table or chart (13-15)
2. Raphael’s favorite store is Old Navy. The table below shows the original and sale price
for many items on summer clearance. How much money did he save on swimwear?
Item
T-Shirt
Sweatshirt
Swimwear
Shorts
Jeans
a.
b.
c.
d.
e.
Original
$16.99
$32.50
$24.95
$26.95
$35.50
Sale
$8.75
$21.99
$17.49
$18.99
$28.75
$1.42
$7.46
$7.96
$10.51
$70.10
3. Will is keeping track of the number of baskets during the regular season. In which game
did he have the 3rd most amount of baskets?
a.
b.
c.
d.
e.
1
2
3
4
5
4. Raphael’s favorite store is Old Navy. The table below shows the original and sale price for many items
on summer clearance. How much money did he save on swimwear?
Item
T-Shirt
Sweatshirt
Swimwear
Shorts
Jeans
a.
b.
c.
d.
e.
$1.42
$7.46
$7.96
$10.51
$70.10
Original
$16.99
$32.50
$24.95
$26.95
$35.50
Sale
$8.75
$21.99
$17.49
$18.99
$28.75
3.
B.2.4/PSDA 202: Perform computations on data tables or graphs (13 – 15)
1. Anton went to Mexico during summer vacation with his Spanish class. He recorded
the number of pesos he spent each day in a table, as shown below. What was the
mean number of pesos he spent per day?
a.
b.
c.
d.
e.
100
150
200
220
300
2. Anna needs to take summer courses to meet graduation requirements. She decides
to attend U. State in the summer of 1984 to take a 3 credit English Literature course.
How much will the course cost her?
a.
b.
c.
d.
e.
20
25
40
50
54
B.2.3/PSDA 303: Read tables and graphs (16 – 19)
1. What number is in the 2nd row from the top and the 3rd column from the left on the
chart below?
23
33
43
53
63
a.
b.
c.
d.
e.
25
35
45
55
65
27
37
47
57
67
29
39
49
59
69
31
41
51
61
71
35
37
45
47
71
2. What number is in the 4th row from the top and the 2nd column from the left on the
chart below?
1
6
11
16
21
2
7
12
17
22
3
8
13
18
23
4
9
14
19
24
5
10
15
20
25
a. 6
b. 7
c.
8
d. 9
e. 17
3.
Will is keeping track of the number of baskets during the regular season. In which game did he have
the 3rd highest number of baskets?
a.
b.
c.
d.
e.
1
2
3
4
5
4. What is the least expensive car on the chart below that gets more than 30 miles per
gallon (mpg)?
a.
b.
c.
d.
e.
Make and Model
Honda Civic
Toyota Camry
Lexus ES09
Pontiac Solstice
Chevy Malibu
Price
$16,000
$24,000
$40,000
$25,000
$14,500
Average MPG
33.2
31.5
24.3
28.6
27.5
5. What is the least expensive shower head on the chart below that will NOT deliver
more than 3 gallons of water per minute (gpm)?
a.
b.
c.
d.
e.
Brand and Model
Sears 20173
Teledyne 5 SM3U
Alsons 462PB
Alsons 45C
Moen 3981
Price
$20
$43
$23
$58
$95
Maximum gpm
3.4
2.6
2.6
2.7
2.4
1. Anna needs to take summer courses to meet graduation requirements. She decides to attend U. State in
the summer of 1984 to take a 3 credit English Literature course. How much will the course cost her?
a.
b.
c.
d.
e.
20
25
40
50
54
B.2.4/PSDA 304: Perform computations on data from tables and graphs (16 – 19)
2.
Use the chart to answer the question below.
Digital music album prices
A sampling of prices among digital music services:
Album/Artist
iTunes
D12 World, D12
$11.99
Damita Jo, Janet Jackson
$13.99
30 #1 Hits, Elvis Presley
$9.99
Feels Like Home, Norah Jones
$12.87
Up, Shania Twain
$9.99
Source: USA TODAY research
Wal-Mart
$9.44
$9.44
$27.28
$9.44
$17.44
MusicNow
$13.99
$13.99
$13.99
$9.99
$13.99
Musicmatch
$20.79
$12.49
$9.99
$11.99
$9.99
Napster
$9.95
$13.95
$9.95
$13.95
$18.81
If you paid the highest price for each of the five albums, how much money would you spend?
a.
b.
c.
d.
e.
3.
$94.82
$94.86
$93.74
$66.61
$27.28
The bar graph shows one year’s worth of expenses for a small business. Use the bar graph to answer
the question below.
To the nearest hundred dollars, how much was spent on postage and supplies?
a.
b.
c.
d.
e.
$3,792
$3,800
$11,500
$15,200
$15,30
C.1.1/NCP 201: Recognize equivalent fractions and fractions in lowest terms (13 –
15)
1. Which fraction is the same as
a.
b.
c.
d.
e.
1
?
2
3
5
2
3
15
45
4
2
8
16
2. Which of the following are equivalent fractions?
2 8
,
a.
3 6
4 8
,
b.
7 14
5 10
,
c.
2 6
1 2
,
d.
7 13
6 24
,
e.
5 20
3. Which of the following is equivalent to
a.
b.
c.
d.
e.
1
15
6
36
4
9
8
23
6
4. As a decimal, what is the sum of
a.
b.
c.
d.
e.
3
?
18
0.225
0.381
0.462
0.625
0.975
3
3
and ?
5
8
5.
12
in lowest terms is
60
a.
b.
2
5
1
3
c.
1
4
d.
1
5
e.
1
6
6. Which number is
a.
b.
c.
8
written in lowest terms?
24
1
16
1
4
1
3
d. 3
e. 4
7. Which of the following is 8/20 expressed in lowest terms?
a.
b.
c.
d.
e.
1/13
2/5
3/5
5/2
12
C.2.1./NCP 301: Recognize one-digit factors of a number (16 – 19)
1. Which of the following lists all the factors of 8?
a.
b.
c.
d.
e.
2, 4
1, 8
1, 2, 4, 8
1, 2, 3, 5, 6, 7
8, 16, 24, 32, …
2. Which of the following is the prime factorization of 60?
a.
b.
c.
d.
e.
(2)(3)(10)
(3)(4)(5)
(2)(2)(3)(5)
(2)(2)(3)(6)
(3)(3)(3)(5)
3. Which of the following lists all of the factors of 12?
a.
b.
c.
d.
e.
1, 3, 4, 12
1, 2, 3, 4, 6, 12
2, 3
2, 3, 4, 6, 12
12, 24, 36, 48, …
4. Which of the following is NOT a factor of 1,001?
a. 1
b. 7
c. 11
d. 13
e. 17
C.2.2./NCP 302: Identify a digit’s place value (16 – 19)
1. What is the place value of the 2 in the number 520?
a.
b.
c.
d.
e.
Ones
Tens
Hundreds
Tenths
Hundredths
2. Determine the digit in the hundredth place of the following number: 32,045.167
a.
b.
c.
d.
e.
0
1
4
6
7
3. In the following number, which digit is in the hundredth place: 0.01687 ?
a.
b.
c.
d.
e.
0
1
6
8
7
4. In the number 10,475.9362, which is in the thousandths place?
a.
b.
c.
d.
e.
1
2
3
4
6
5. Which of the following choices has the largest digit in the tenths place?
a.
b.
c.
d.
e.
7,256.176
3,589.629
534.529
14.973
1.3
6. Which of the following choices has the smallest digit in the thousands place?
a.
54,713
b. 3,861,932
c.
36,734
d. 2,769,236
e.
8,7878
7. What is the sum of the digits in the tenths place and the hundreds place of the
number 2,593.7365?
a.
b.
c.
d.
e.
10
11
12
13
14
8. What is the sum of the digits found in the tenths place and in the ten-thousandths
place of 10,324.96176?
a. 5
b. 7
c. 10
d. 15
e. 16
C.3.1/NCP 401: Exhibit knowledge of elementary number concepts including
rounding, the ordering of decimals, pattern identification, absolute value, primes
and greatest common factor
(20 – 23)
1. Which of the following statements are true?
I. 534,916 < 534, 619
II. Both 534,916 and 534,619 rounded to the thousands place are 535,000
III. The value of the 4 in both 534,996 and 534,969 is 4,000
a.
b.
c.
d.
e.
I only
I and II
II only
II and III
I and III
ROUNDING
1. In which of the following choices is 3,482.9647 rounded to the hundredths place?
a.
b.
c.
d.
e.
3,500
3,482.965
3,482.96
3,482
3,480
2. When rounded off, the amount of money that Jessie owes John is $6.00. Which of
the following could be the amount that Jessie actually owes John?
a.
b.
c.
d.
e.
$4.68
$5.27
$5.49
$5.51
$6.51
The bar graph shows one year’s worth of expenses for a small business. Use the
graph to answer problems 2 – 5.
3. To the nearest hundred dollars, how much was spent on postage and supplies?
f.
g.
h.
i.
j.
$3,792
$3,800
$11,500
$15,200
$15,300
4. Find the total amount spent, to the nearest hundred dollars, on rent and utilities and
car expenses.
5. To the nearest thousand dollars, how much was spent on items other than salaries
and rent and utilities?
6. To the nearest thousand dollars, how much was spent on items other than postage,
supplies, and car expenses?
Use the bar graph to answer problems 6 – 8.
7. To the nearest ten dollars, what is the total amount spent on food and car expenses?
8. To the nearest hundred dollars, how much is spent on savings and taxes?
9. To the nearest thousand dollars, how much is spent on items other than food and
entertainment?
9. The speed of light is 186,282.3976 miles per second. Round this number to the
nearest hundredth.
10. Which of the following numbers will round to 7.5?
a.
b.
c.
d.
e.
7.451
7.449
7.55
7.56
7.59
11. Which of the following numbers will round to 3.2?
a.
b.
c.
d.
e.
3.14999
3.24999
3.279
3.02111
3.148
ORDERING DECIMALS
1. The symbol < can be used to fill in the blank to make which choice true?
a. 345.982 ______ 345.992
b. 356.792 ______ 356.782
c. 272.81 ______ 272.18
d. 3.9182 ______ 3.9082
e. 576.91 ______ 567.91
2. Order the following numbers from least to greatest: -0.03, 0.3, - 0.3, 1.3, -3.0
a.
b.
c.
d.
e.
-0.03, -0.3, 0.3, 1.3, -3.0
1.3, 0.3, -0.03, -0.3, -3.0
-0.03, -0.3, -3.0, 0.3, 1.3
-0.03, 0.3, - 0.3, 1.3, -3.0
-3.0, -0.3, -0.03, 0.3, 1.3
3. Write the following numbers in order from smallest to largest.
0.02, 0.05, 0.025, 0.052, 0.005, 0.002
a. 0.02, 0.05, 0.025, 0.052, 0.005, 0.002
b. 0.02, 0.025, 0.002, 0.05, 0.052, 0.005
c. 0.002, 0.005, 0.02, 0.025, 0.05, 0.052
d. 0.002, 0.02, 0.025, 0.005, 0.05, 0.052
e. 0.052, 0.05, 0.025, 0.02, 0.005, 0.002
4. Write the following numbers in order from smallest to largest.
0.2
0.02
0.4
0.04
0.42
0.24
PATTERN IDENTIFICATION
1. What is the next term after 
a. 
1
8
b.
0
1
1
in the geometric sequence 16, –4, 1,  , … ?
4
4
c.
d.
e.
1
16
1
8
1
2
2. In the geometric sequence 8, 2, ½,… What is the 4th term?
a.
b.
c.
d.
e.
1/4
1/8
1/16
1/32
1/64
3. The second term of an arithmetic sequence is –11, and the third term is –38. What
is the first term?
(Note: In an arithmetic sequence, consecutive terms differ by the same amount.)
a. – 27
b.
1
11
c.
d.
e.
11
16
27
4. The second term of an arithmetic sequence is –14, and the third term is –34. What
is the first term?
(Note: In an arithmetic sequence, consecutive terms differ by the same amount.)
a. 1/14
b.
6
c.
4
d. 20
e. – 20
5. The second term of an arithmetic sequence is 12, and the third term is 6. What is
the first term?
(Note: In an arithmetic sequence, consecutive terms differ by the same amount.)
a. – 12
b. – 6
c. 1/12
d.
6
e.
18
6. To order tickets for their favorite concert, Sally, Lyle, Howard, Maria, Sarita and
Spencer take turns dialing the phone. If they continue to call in this order, and get
through on the 67th call, who is on the phone when they get through?
a.
b.
c.
d.
e.
Sally
Howard
Maria
Sarita
Spencer
7. The decimal representation of 6/7 repeats and can be written as 0.857142857142…
what is the 100th digit to the right of the decimal point in the decimal
representation?
a.
b.
c.
d.
e.
1
2
4
5
8
8. If the decimal 0.726874726874… repeats in this pattern indefinitely, what will be
the result if the 82nd digit to the right of the decimal point is subtracted from the
83rd?
a. – 5
b. – 3
c. – 1
d. 2
e. 4
9. In the repeating decimal 0.76547654… what will be the digit in the 34th place to the
right of the decimal point?
a.
b.
c.
d.
e.
0
4
5
6
7
ABSOLUTE VALUE
1. What is  3   2 ?
a. – 6
b. – 5
c. – 1
d. 5
e. 6
2. What is  5   12   2   6 ?
a.
b.
c.
d.
e.
2
3
6
9
14
3. 8  3  6  ?
a. – 17
b.
1
c.
5
d. 11
e. 17
4.
 3  7  16  ?
a. – 12
b. – 6
c.
6
d. 12
e. 26
5.
 12  12  ?
a. – 24
b. – 12
c.
0
d. 12
e. 24
6.
7 3  37  ?
a. – 8
b. – 6
c. – 4
d.
0
e.
8
7. What is the value of  8  7  43 ?
a. – 44
b. – 28
c.
28
d.
44
e.
58
PRIMES
1. A prime number is a whole number greater than 1 that has only 1 and itself as
factors. All other whole numbers greater than 1 are considered composite. Which
of the following is true of the number 51?
a.
b.
c.
d.
e.
51 is prime because it has no factors other than 1 and 51.
51 is prime because it is an odd number.
51 is composite because it has 3 as a factor.
51 is composite because it has 13 as a factor.
It is not possible to tell whether 51 is prime or composite.
2. Which of the following integers can be expressed as the product of three prime
numbers?
a.
b.
c.
d.
e.
5
6
8
9
10
3. If z = (5)(11)(28)(38), what is the greatest prime factor of z?
a. 5
b. 7
c. 11
d. 13
e. 19
4. If the sum of 2 positive prime numbers is prime, then one of these prime numbers
must be:
a. 2
b. 3
c. 5
d. 7
e. 11
GREATEST COMMON FACTOR
1. What is the greatest common factor of 45, 60, and 90?
a.
3
b.
5
c. 15
d. 30
e. 180
2. What is the greatest common factor of 15 and 25?
a.
b.
c.
d.
e.
3
5
15
25
75
C.4.1/NCP 501: Find and use the least common multiple (24 – 27)
1. What is the least common multiple of 5, 24, and 36?
a. 4,320
b.
360
c.
180
d.
120
e.
60
2. What is the least common multiple between 4, 6, and 8?
a.
b.
c.
d.
e.
2
4
8
12
24
5
3
miles on Monday and miles on Tuesday. What is the total distance, in
6
4
3. Dena ran
miles, that Dena ran during those two days?
a. 1
7
12
b.
1
2
3
c.
1
1
2
d.
1
1
3
e.
12
19
4. Add
5
7

12 18
5. Add
3 1

4 6
6. Add
1 1 1
 
6 8 4
C.4.2./NCP 502: Order fractions (24 – 27)
1. Which of the following fractions is closest to the number ½?
a.
b.
c.
d.
e.
5/3
5/4
5/8
5/16
5/20
2. Which of the following fractions is closest to the number 1?
a.
b.
c.
d.
e.
1/10
3/4
7/8
8/9
15/16
3. What fraction lies exactly halfway between
a.
b.
c.
d.
e.
3
5
5
6
7
12
9
16
17
24
4. What rational number is halfway between
a.
b.
c.
d.
e.
2
3
and ?
3
4
1
2
1
4
2
15
4
15
8
15
1
1
and ?
5
3
5. Write the following fractions in order from smallest to largest.
2
3
0
3
4
1
3
1
8
1
3

1
8
a.  ,  ,  , 0 ,
3
4
c.
2 5
,
3 6
2 5
,
3 6
b.  ,  ,  , 0 ,
5 2
1
1
3
, ,0,  ,  , 
6 3
8
3
4
3
4
1
3
1
8
d. 0 ,  ,  ,  ,
3
4
1
3
1
8
2 5
,
3 6
e.  ,  ,  , 0 ,
1
8
5 2
,
6 3
5
6

3
4

1
3