TEST NAME: Number System
TEST ID: 489137
GRADE: 07
SUBJECT: Mathematics
TEST CATEGORY: School Assessment
Number System
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Student: Class:
Date:
1.
What is the value of –7.94 + 2.13 – 4.65?
A.
– 10.46
B.
– 1.22
C.
5.42
2.
Sally has to complete 5 projects for her art class. The maximum score for
each project is 20 points. Sally has completed 4 projects and has scores
of 20, and 15. She wants to have an average score of at
least 18 for all 5 projects. What is the minimum score Sally must get on
her final project in order to reach her goal? Show or explain your work.
3.
What is the value of –0.13 ÷ –2.6?
A.
–
B.
0.02
C.
0.05
0.05
4.
A class of 32 students earned grades of A, B, C, or D on a test. One­fourth of the students earned an A.
Half of the remaining students earned a B.
Two students earned a D.
What fraction of the students earned a C?
A.
B.
C.
D.
Number System
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5.
Which expression represents the distance between number line?
on the
A.
B.
C.
D.
6. If the temperature is dropping 3° every hour during the night, what number shows the drop in temperature in 7
hours?
A.
­3°
B.
­7°
C.
­10°
D.
­21°
Which sum must always equal 0?
7.
A.
B.
C.
D.
8.
Mr. Samuel is twice as tall as his son, William. William’s sister, Sarah, is
4 ft and 6 in. tall. If William is as tall as his sister, how tall is Mr.
Samuel?
A.
5 ft, 6 in.
B.
6 ft, 2 in.
C.
6 ft, 4 in.
D.
6 ft, 9 in.
Number System
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What is the value of 12.3 − 4(3.5 + 2.5)?
9.
A.
– 36.3
B.
–
C.
49.8
11.7
10.
What is the value of the expression below?
A.
B.
C.
D.
11.
Coach Ross baked some brownies. He gave of them to the football
team and of the remaining brownies to the cheerleaders. He had 10
brownies left. How many brownies did Coach Ross bake?
A.
20
B.
25
C.
35
D.
45
12.
Paula is adjusting the level of chlorine in the pool at the local community
center. The concentration of chlorine is currently 6.3 parts per million.
She read in a magazine that the ideal chlorine level is about 1.5 parts
per million. How many times the ideal chlorine level is the current
chlorine level?
A.
4.2 times
B.
4.8 times
C.
7.8 times
D.
9.5 times
Number System
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13.
Ms. Miller asks her class to find expressions that are equivalent to the
one below:
Part A. Select all the expressions shown below that are equivalent to Explain why they are equivalent.
Part B. Explain why the numbers you did not select above are not
equivalent.
Use words, numbers, and/or pictures to show your work.
14. Which combination of events results in a 0 effect to the situation?
A.
Arnold owes his sister $4, and he borrows $4 more from her.
B.
Amy earned 8 points during a game and then had 8 points deducted.
C.
Alex deposits $75 into an account which previously had a balance of $75.
D.
Alice stands at the twenty­yard line on a football field and then moves forward 20 feet.
15.
In one month, a family spent the following amount on groceries:
$145.16, $112.81, $86.35, and $161.59. Which is the best estimate of
the total amount this family spends on groceries in one year?
A.
$500
B.
$2,000
C.
$6,000
D.
$10,000
Number System
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16.
What is the value of the expression below? A.
B.
C.
D.
17.
A scuba diver is taking pictures of fish in the Atlantic Ocean. Starting at
sea level, he dives feet into the ocean and takes a set of pictures.
He then rises 12.5 feet to take a second set of pictures. Finally, he dives
15 feet deeper to take his final set of pictures.
Part A. Write an expression involving addition to find the total change in
the diver’s elevation.
Part B. What is the total change in his elevation after taking the three
sets of pictures?
Use words, numbers, and/or pictures to show your work.
18.
Which decimal is equivalent to A.
3.15
B.
3.2
C.
3.5
?
Number System
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19.
Which expression could be used to calculate A.
B.
C.
D.
20. Which expression can be used to find the distance between an elevation of 510 feet above sea level and 461
feet below sea level?
A.
B.
C.
D.
21.
What is the decimal equivalent of ?
A.
0.34
B.
0.70
C.
0.75
22.
What is the value of –12.45 − (–206.3)?
A.
–
218.75
B.
–
193.85
C.
193.85
D.
218.75
Number System
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23.
A farmer owns 9 fields that are field that is acres each. He also owns one larger
acres. He separated all his land into acre lots. How
many lots does the farmer have?
A.
10
B.
12
C.
18
D.
21
24.
A student placed parentheses in this expression and then evaluated it.
The result was zero. Where did the student place the parentheses?
Click on your answer choice to see the parentheses.
A.
B.
C.
D.
Number System
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25.
Which situation results in a product of A.
Jenna is making times a recipe. The recipe calls for 1.4 ounces of
chocolate. How much chocolate will Jenna use?
B.
Jenna’s mirror weighs ounces and her tube of lip balm weighs 0.6
ounce. How much do the mirror and lip balm weigh together?
C.
Jenna used of her jar of cocoa butter. The jar originally
contained 4.8 ounces of cocoa butter. How many ounces of cocoa
butter did Jenna use?
D.
Jenna uses 2.5 miniature bottles of shampoo at a hotel. Each bottle
contains ounces of shampoo. How many ounces of shampoo does
Jenna use?
26.
The change in value for a share of stock in the stock market system is
measured in fractions of a dollar. A share of stock started the week with
a value of dollars. During the next four days, the value of a share of
the stock went down by down by dollar, up by dollar, up by dollars, and
dollar. Which number represents the value of the stock, in
dollars, after the four days?
A.
B.
C.
D.
Number System
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27.
What is the value of ?
A.
B.
C.
28.
Three friends, Susan, Rachel, and Mary, are staying in a hotel. Susan’s
room is 4 floors above Mary’s room. Mary’s room is 3 floors below
Rachel’s room. Rachel’s room is on the eighth floor. On which floor is
Susan staying?
A.
fifteenth
B.
ninth
C.
seventh
D.
first
29. What is in simplest form?
A.
B.
C.
D.
30.
Samantha needs to purchase 7 notebooks at $2.99 each and 5 pencils at
$0.79 each. About how much will Samantha spend before sales tax?
A.
$20.00
B.
$21.00
C.
$25.00
D.
$28.00
Number System
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31.
Apples cost $1.48 per pound at the grocery store. Sara bought 6 pounds
of apples. Steve bought 10 pounds of apples. How much more did Steve
spend on apples?
A.
$2.96
B.
$5.92
C.
$8.88
D.
$14.80
32.
Randy worked 18 hours each week for four weeks. For each of the next
four weeks, he worked fewer hours as the previous four weeks. What
was the total number of hours he worked for the eight weeks?
A.
48 hours
B.
72 hours
C.
96 hours
D.
120 hours
33.
An architect is designing a rectangular house that is 60 feet long and 40
feet wide. He uses of the area for the living room and of the area
for the kitchen. What area in square feet is left over for other parts of
the house?
34.
What is the value of ÷ × ?
A.
B.
C.
D.
Number System
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35.
A hawk is sitting on the branch of a tree ft above the ground. It
flies 28.3 ft higher in the air, drops down by 8.2 ft, and then a short time
later flies down another ft onto the branch of another tree.
Part A. Write an expression that represents the change in the bird’s
height.
Part B. Which of the two branches is higher above the ground and by how
much?
Use words, numbers, and/or pictures to show your work.
36.
The temperature was –5°C at 6:00 a.m. It increased of a degree every
hour for 6 hours. The temperature then increased degrees every hour
for 5 hours. What was the temperature at 5:00 p.m.?
A.
B.
C.
D.
7°C
°C
12°C
°C
37.
What is the decimal equivalent of A.
0.05
B.
0.15
C.
0.60
D.
0.75
?
Number System
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38.
Consider the expression below.
Which situation could the quotient represent?
A.
Janice has read 14 books. The average length of the books is 180
pages. The quotient represents the total number of pages in all 14 of
Janice's books.
B.
Tammy has a bag of color tiles. There are 180 tiles in the bag. There
are 9 red tiles and 5 green tiles in the bag. The quotient represents
the percent of the tiles in the bag that are red or green.
C.
There are 5 classes going on a field trip. There are 180 sandwiches
for the 5 classes and 9 sandwiches for the teachers. The quotient
represents the average number of sandwiches for each class.
D.
A softball team must pay $180 to attend a tournament. The team has
9 starters and 5 alternates. Each person on the team will pay an
equal share of the fee. The quotient represents the amount of
money, in dollars, that each player will pay.
39.
What is the value of the expression A.
B.
C.
D.
40.
What is the value of the expression ?
A.
B.
C.
D.
Number System
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41.
In the table below, Nigel recorded the change in the price of a gallon of
gas during a 5­day period.
Day Price per Gallon 1 increased by $0.22 2 increased by $0.06 3 decreased by $0.10 4 decreased by $0.03 5 increased by $0.05
What was the average change in price of a gallon of gas over the 5­day
period?
A.
increase of $0.04
B.
decrease of $0.04
C.
increase of $0.20
D.
decrease of $0.20
42.
Martha earns $12.47 per hour. John makes 3 times as much as Martha.
How much does John earn per hour?
A.
$37.41
B.
$37.21
C.
$36.41
D.
$36.00
43.
Lee went on a trip to Ohio during the month of January. He recorded the
low temperature for each day of one week as
What was the mean low
temperature for that week to the nearest hundredth?
A.
B.
C.
D.
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44.
Which is equivalent to ?
A.
B.
C.
45.
A car dealership had 60 fewer cars in its inventory of cars to sell in
December than it had in June of the same year.
Which two expressions can both be used to determine the average
monthly change in the inventory of cars during this 6­month period?
A.
B.
C.
D.
Number System
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46.
History Class Part 1. Ms. Clay’s history class took a test. The test has 40 questions
and is worth 100 points. For each question students answer correctly,
they get points. For each question they answer incorrectly, they lose point. For questions they leave blank, they neither gain nor lose
points.
Hillary answered 31 questions correctly and 6 incorrectly and left the
rest blank. What was Hillary’s score?
Brett answered of the questions correctly and left blank. What
was Brett’s score?
Nikki answered she answered of the questions. Of the questions she answered,
correctly. What was Nikki’s score?
Part 2. The students have hours to complete the test.
How many questions must a student answer per minute to complete
the test in this time?
Stacy completed of the questions during this time. How many
questions did she complete per minute?
At this rate, how many minutes would Stacy need to complete the
entire test?
Part 3. The students in Ms. Clay’s class each have to write a history
report. They can write the report about a person, an event, or a country
from the past. There are 24 students in the class. Three­eighths of
them chose to write about a person, and chose to write about a
country.
What fraction of the students chose to write about an event?
How many students chose to write about either a person or an event? Number System
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47.
The floor of Death Valley National Park is 282 feet (ft) below sea level,
and the Sylvania Mountains are on the northern boundary of the park.
Part A. Jan is at the bottom of the valley. Gary hikes to a scenic overlook
in the mountains that has an elevation 935 feet above sea level. What is
the elevation difference, in feet, between Gary and Jan?
Part B. Julia is at a park station that is 282 feet below the scenic
overlook where Gary is. How many feet above sea level is Julia?
Use words, numbers, and/or pictures to show your work. 48. Tina chose two points on this number line.
If the distance between the two points is between 2 and 3 units, which pair of numbers could be the points Tina
chose?
A.
B.
C.
D.
and 1
and and and 4
49.
The water level of a river in the town of Carson decreased by feet
over a 3­month period. Which of these describes the average monthly
change in the water level of the river?
A.
B.
C.
D.
On an average, the water level decreased by feet per month. On an average, the water level decreased by feet per month.
On an average, the water level increased by feet per month.
On an average, the water level increased by feet per month.
Number System
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Number System
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