WorksheetsPre-Algebra Semester 1 Review
Total questions: 116
Worksheet time: 4hrs 45mins
Name
Class
Date
1.
a)
16cm cubed
b)
64cm cubed
c)
40cm cubed
d)
96cm cubed
2.
a)
9.2cm
b)
16.62cm
c)
14.45cm
d)
24.65cm
3.
a)
24.13cm squared
b)
32.17cm squared
c)
8.04cm squared
d)
20.11cm squared
4.
a)
47cm squared
b)
60cm squared
c)
94cm squared
d)
86cm squared
5.
a)
12cm cubed
b)
15cm cubed
c)
18cm cubed
d)
6cm cubed
6.
a)
46.1cm cubed
b)
24cm cubed
c)
124.8cm cubed
d)
41.6cm cubed
7.
a)
2827cm squared
b)
1325cm squared
c)
706.86cm squared
d)
530.14cm squared
8.
a)
1767cm cubed
b)
236cm cubed
c)
987cm cubed
d)
1698cm cubed
9.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
10.
Is surface area.......
a)
Filling in a 3 dimensional shape
b)
wrapping the outside of a 3 dimensional shape
11.
What is the total surface area of the triangular prism shown?
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
12.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
13.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
14.
Solve the proportion.
a)
1
b)
3
c)
6
d)
5
15.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
16.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
17.
A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 Weeks
b)
24-ounce bottle
c)
10.6 Weeks
d)
10.6-ounce bottle
18.
A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?
a)
75 Pieces
b)
27-ounces
c)
27 pieces
d)
75-ounces
19.
A grading machine can grade 48 multiple-choice tests in 1 minute. How long will it take the machine to grade 300 tests?
a)
6.25 Min
b)
0.16 Tests
c)
6.25 Tests
d)
0.16 Min
20.
The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?
a)
32 People
b)
32 Min.
c)
12.5 Min.
d)
12.5 People
21.
Which ratio below is proportional to the ratio 5/6?
a)
6/5
b)
50/75
c)
25/30
d)
12/10
22.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
23.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
24.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
25.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
26.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
27.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
28.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
29.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
30.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
31.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
32.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
33.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
34.
Shapes that are identical in size, shape and measure are...
a)
Congruent
b)
Image
c)
Angles
d)
Vertices
35.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
36.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
37.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
38.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
39.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
40.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
41.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
42.
What is the rule for the dilation pictured?
a)
(x, y) → (½x, ½y)
b)
(x, y) → (x + 2, y + 2)
c)
(x, y) → (2x, 2y)
d)
(x, y) → (2x, 3y)
43.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
44.
The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
45.
A dilation is which of the following:
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
46.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
47.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
48.
In a dilation what mathematical operation is used with the scale factor?
a)
addition
b)
subtraction
c)
multiplication
d)
division
49.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
50.
Similar figures have the same ______ but different ______.
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
51.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
52.
If your SF = 2.5, what type of dilation is it?
a)
Reduction
b)
Enlargement
53.
If your SF = 0.8, what type of dilation is it?
a)
Reduction
b)
Enlargement
54.
The box-and-whisker plot displays the number of inches of snowfall last year for 14 cities. Each city had a different amount of snowfall.
What is the median amount of snow that fell?
a)
80 inches
b)
64 inches
c)
56 inches
d)
76 inches
55.
Consider the boxplot below. What is the lower quartile?
a)
7
b)
10
c)
8
d)
6.5
56.
Consider the boxplot below. What is the interquartile range (IQR)?
a)
4
b)
3.5
c)
6
d)
9
57.
What percentage of the data is between 40 and 90?
a)
25%
b)
50%
c)
75%
d)
100%
58.
Which city, Nashville or Dallas, has the smaller median?
a)
Nashville
b)
Dallas
59.
True of false, 75% of the data values are greater than 18?
a)
True
b)
False, 75% of the values are greater than 16
c)
False, 50 % of the values are greater than 18
d)
False, 25% of the values are greater than 18
60.
Which profession had the greatest range of salaries?
a)
Nuclear engineer
b)
Police officer
c)
Musician
d)
Impossible to tell
61.
What is the IQR of the Cruisers?
a)
4
b)
6
62.
Which of the following are true about the IQR? Check all that apply.
a)
IQR = Q3 - Q1
b)
IQR = Q1 - Q3
c)
The IQR is the middle 50% of a distribution
d)
IQR stands for interquartile range
e)
The IQR is the width of the box in a boxplot
63.
The _________ is the midpoint of the data.
a)
median
b)
mean
c)
mode
d)
standard deviation
64.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
65.
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
a)
193
b)
127
c)
60
d)
66
66.
What is the probability of spinning an even number?
a)
16 2/3%
b)
33 1/3%
c)
50%
d)
75%
67.
Find the probability of rolling greater than a 1 on a single die.
a)
6/6
b)
5/6
c)
4/6
d)
1/6
68.
Find the probability of rolling a 7 on a single die.
a)
1/6
b)
7/6
c)
0
d)
7/7
69.
What is the probability of spinning red?
a)
0
b)
1/2
c)
3/4
d)
1
70.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
71.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
72.
What is the probability of spinning green or blue?
a)
0
b)
5/12
c)
1/2
d)
3/4
73.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
4/13
c)
8/25
d)
1/3
74.
The probability of an event occurring, P(A), can be expressed as a fraction, decimal, or percent.
a)
True
b)
False
75.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?
a)
2/7
b)
5/49
c)
5/7
d)
10/49
76.
A set of all possible outcomes is known as -
a)
a list
b)
a complement
c)
a sample space
d)
an event
77.
What is the complement of spinning purple on this spinner?
a)
Not green
b)
Purple
c)
Not purple
d)
Orange, red, or yellow
78.
Event A has a probability of 0.3. What is the probability of the complement of Event A?
a)
30%
b)
3/100
c)
7/100
d)
0.7
79.
If 33% of the students at Harnett Central have a pet, then what is the probability of the complement of this event?
a)
33%
b)
77%
c)
67%
d)
50%
80.
Bob has 6 fiction books and 4 nonfiction books on his bookcase. What is the probability he will select 2 fiction books without replacement?
a)
9/25
b)
1/3
c)
3/10
d)
6/10
81.
There are 5 M &M's in a jar. Three are blue M & M's and two are red M & M's. What is the probability of picking a blue M & M, not replacing it and then picking a red M & M?
a)
3/10
b)
6/25
c)
9/25
d)
9/20
82.
There are four blue, one yellow, three green, one purple, and one grey marbles in the bag. What is the probability of drawing a green marble the first time, and without replacing it, a yellow marble on your second draw?
a)
3/100
b)
1/30
c)
2/5
d)
1/27
83.
Sue is picking marbles from the bag without replacing them. What is the probability she will pick a green marble and then not a blue marble?
a)
1/9
b)
1/12
c)
4/27
d)
5/36
84.
Soccer is an easy sport to play.
a)
Biased
b)
Unbiased
85.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
86.
On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?
a)
100 km
b)
130 km
c)
70 km
d)
150 km
87.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
88.
Find missing side
a)
5
b)
7
c)
9
d)
11
89.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
90.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
91.
If a jogger runs a 10km race in 60 minutes, what is her average speed
a)
10km/hr
b)
5km/hr
c)
6km/hr
d)
1.66km/hr
92.
An aircraft carrier travels a distance of 1000km in 3 days. What is its average rate of speed?
a)
1000km/hr
b)
3000km/hr
c)
333.3km/hr
d)
13.9km/hr
93.
If a person ran 32 km at a rate of 8km/hr, how long did he run?
a)
6 hours
b)
8 hours
c)
4 hours
d)
196 hours
94.
If a puppy runs across a park at a speed of 15 m/s. The puppy has a time of 5 seconds. How far did the puppy run?
a)
75 m
b)
30 m
c)
45 m
d)
105 m
95.
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
96.
Write the percent as a decimal.
4.3%
4.3%
a)
4.3
b)
.43
c)
.043
d)
4300
97.
Write the decimal as a percent.
0.37
0.37
a)
37%
b)
3.7%
c)
.37%
98.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
99.
Calculate the interest. I = PRT,
Principal = $1000,
Rate = 6%,
Time = 2 years
a)
$100
b)
$120
c)
$180
d)
1200
100.
Calculate the interest. I = PRT,
Principal = $10000,
Rate = 7%,
Time = 20 years
Principal = $10000,
Rate = 7%,
Time = 20 years
a)
1400
b)
1000
c)
14000
d)
14
101.
Beyonce went to the mall and saw a massage chair that she would have to take a loan out for $6500 to purchase. The bank said that she could get a simple interest rate of 8% for 5 years. What is the total amount that Beyonce will pay for the chair?
a)
$2600
b)
$910
c)
$9100
d)
$260
102.
Anna invested $2,500 at an annual rate of 5%. How long will it take until Anna earns $1,125 in interest?
a)
5 years
b)
8 years
c)
10 years
d)
9 years
103.
You lend $240 to your friend. He pays you back $270. What interest rate did you charge your friend?
a)
88%
b)
20%
c)
12.5%
d)
10%
104.
What is the √4
a)
4
b)
16
c)
1
d)
2
105.
What is the √9
a)
81
b)
27
c)
3
d)
1
106.
What is ∛8?
a)
2
b)
4
c)
64
d)
8
107.
What is ∛64?
a)
8
b)
16
c)
2
d)
4
108.
What is the ∛27?
a)
3
b)
9
c)
27
d)
1
109.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
110.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter?
a)
35%
b)
25%
c)
30%
d)
20%
111.
Find the percent increase. Round to the nearest percent.
From $5 to $8
From $5 to $8
a)
40%
b)
60%
c)
55%
d)
65%
112.
Find each percent increase. Round to the nearest percent.
From 13 friends to 14 friends
From 13 friends to 14 friends
a)
20%
b)
12%
c)
15%
d)
8%
113.
Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent of change?
a)
24%
b)
20%
c)
11%
d)
50%
114.
Find each percent decrease. Round to the nearest percent.
From $80 to $64
From $80 to $64
a)
35%
b)
10%
c)
20%
d)
25%
115.
Find each percent decrease. Round to the nearest percent.
From 90 points to 45 points
From 90 points to 45 points
a)
55%
b)
50%
c)
45%
d)
35%
116.
Find the percent change.
Original amount: 10
New amount: 12
Original amount: 10
New amount: 12
a)
20%
b)
12%
c)
15%
d)
50%
100 %
