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Worksheets7TH GRADE YEAR REVIEW
Total questions: 200
Worksheet time: 12hrs 45mins
What is the opposite -5?
(a)
On Friday the temperature was 82℉. The temperature changed by -2℉ on Saturday. On Sunday, the temperature changed by +5℉. What temperature was it on Sunday?
Just type in the number
(a)
Stone Mountain, is 1,686 feet above sea level. Lake Lanier’s lowest depth is 160 feet below sea level. What is the difference between these two elevations?
(a)
Which of the following represents
x > 1
To see the image better, click the image
A
B
C
D
Which of the following represents
x < 4
Reminder
To see the image better, click the image
A
B
C
D
Which of the following represents
x > 5
A
B
C
D
Which of the following represents
x < 1
A
B
C
D
Which point on the number line best represents -1.2?
A
B
C
D
E
Which number line model represents the sum of
0.5 + (–1.50)?
Which number line model represents the sum of
The number line shows Tomas' favorite numbers when asked in four weeks.
Enter the distance, between Tomas favorite numbers during Week 4 and 3.
343−152
343−(−152)
Select all expressions that shows the distance between Points G and H.
∣(−4)−(2)∣
∣−4+2∣
(7 + 41) ÷ 2 – 15
(a)
27÷9+12÷4
(a)
8+7⋅(4−3)
(a)
Which situation results in a final value of zero?
The temperature after a decrease of 5°F from a temperature of -5°F
The height of an airplane after taking off from the ground level and rising 1,000 feet.
The amount of money received in change after making a $10 purchase with a $20 bill.
The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level.
(-9)(-8)
(a)
What is the value of -12 - (-35)?
(a)
Shawna has $45 in her wallet. If she spends $40 on a ticket to Six Flags and $5 for lunch, how much money does she now have in her wallet?
-$45
$0
$40
$45
What is 40% of 80?
First, change the percent to a decimal. Next, multiply the number by the decimal.
32
.40
60
41.2
Now you try these...
What is 64% of 75?
117
48
85
56
Express 0.098 as a percent.
0.098%
0.98%
9.8%
98%
About 0.6% of the US population is allergic to peanuts. If a summer camp has 4,000 campers, how many would you expect to be allergic to peanuts?
0.6
6
2.4
24
Match the percent to its equivalent fraction.
25%
1/4
140%
7/5
40%
2/5
0.25%
1/400
7.5%
3/40
A typical tip in a restaurant is 15% of the total bill. If the bill is $160, what would the typical tip be?
(a)
You are charged a 6% sales tax in your state. If you purchase a new bicycle and pay $27 in sales tax, what is the purchase price of the bicycle?
$22.22
$450
$1.62
$259
If a store buys its merchandise for $220.50, how much is the selling price if they mark it up 12%?
$246.40
$264.60
Identify the constant of proportionality.
k = 6
k = 12
k = 1/6
k = 1/12
none (not proportional)
Find the unit rate in pages per minute.
A person can read 30 pages in 15 minutes
2 pages per minute
1/2 page per minute
Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?
2 acres per hour
1/2 acres per hour
9/24 acres per hour
If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?
1/40
5/18
11/2
33/5
x = 16
x = 261
x = 28
x = 26
Solve the proportion:
x8=3012x = 15
x = 111
x = 11
x = 20
Solve for the variable k.
6k=1815k = 5
k = 60
k = 310
k = 90
5(2 - 7n)
6 + 2(7x - 3)
-4(-4d - 5)
3(2x+1)+2(x-4)
A cell phone company charges $40 per month plus a $35 activation fee. What is the expression for the total cost for m months?
40 - 35m
40m - 35
40m + 35
40 + 35
A pizza delivery driver earns $8 an hour and works h hours per day. He also spends $20 a day on gas. How much will the driver earn in one day?
8h - 20
8h + 20
8 + 20
8 - 20h
-6w + 1 = -11
−2(x+38)=−4
-36
-96
-18
-6
When do you "flip the inequalities sign"?
When you add or subtract a negative
When it's a 1-step problem
When you multiply or divide a negative
When it's a 2-step problem
Solve 5x + 9 > 34
x > -5
x > 5
x < -5
x < 5
Match the graph with its inequality.
a > 11
a < 11
a ≥ 11
a ≤ 11
Which graph would match the inequality
-6x - 4 > -40
A
B
C
D
4x−2≤−22
x≥−5
x≥−6
x≤−6
x≤−5
−12y−11<49
y<−5
y>−5
y>5
y<5
In a triangle, what is the sum of the interior angles?
100%
180 degrees
it varies
360 degrees
Find the measure of the indicated angle.
(a)
Triangle with sides of 7, 8, and 9 cm.
one unique triangle
more than one unique triangle
no triangle
Triangle with sides of 1.5, 3, and 1.5 cm.
one unique triangle
infinitely many triangles
no triangle
Triangle with angles of 55, 45, 75
one unique triangle
infinitely many triangles
no triangle
Triangle with angles of 70, 90, 20
one unique triangle
more than one unique triangle
no triangle
Which of the following cannot be the angle measures of a triangle?
110, 43, 27
89, 47, 32
95, 32, 53
100, 30, 50
If a triangle has side lengths of 12 cm and 14 cm, which of the following could be the 3rd side length?
27 cm
3 cm
2 cm
30 cm
Given the side lengths of 18mm and 10 mm, what measurement could be the length of the third side of a triangle?
7mm
4mm
28mm
24mm
What is the missing angle?
(a)
Find the value of x.
(a)
(a)
Find the value of x.
(a)
Identify the relationship:
vertical
supplementary
What is the relationship between angle 8 and angle 6?
Corresponding Angles
Same Side Interior Angles
Same Side Exterior Angles
Vertical Angles
If m∠1 = 30°, then m∠3 =
(a)
2. Find X
(a)
A pond has a diameter of 12 feet. What is its radius?
(a)
A tire has a radius of 14 inches. What is its diameter?
(a)
A cruise ship has a large, circular window with a diameter of 6 meters. Approximately what is the window's circumference?
HINT: Write down the formula for CIRCUMFERENCE.
18 meters
12 meters
19 meters
6 meters
What is the area of this circle?
28.26 cm2
28.26 cm
9.42 cm2
9.42 cm
What is the area of this circle?
28.26 in2
56.52 in2
254.34 in2
What is the diameter of the circle?
3
6
9
12
What is the radius of the circle?
2cm
5cm
10cm
20cm
The distance around a circle
area
diameter
circumference
radius
What is the formula to find the area of a circle?
A = πd
A = 2πr
A = πr2
A = xyz
If the scale factor is 4, what is the measurement of slide length x?
(a)
What is the scale factor from the small fry to the large fry?
(a)
Solve for X.
(a)
The pair of figures is similar. Find the missing side.
(a)
The pair of figures is similar. Find the missing side.
(a)
Calculate the area.
(a) square centimeters
What is the area of the figure?
(a) square centimeters
To promote recycling, the ground of the neighborhood sandbox is being covered with shredded tires . The sandbox will not be covered. What is the area of the shredded tire portion of the playground?
(a) square feet
What is the area of the shaded region?
(a) square meters
What is the area of the composite shape?
(a) square centimeters
Find the volume of the prism.
(a) cubic centimeters
Calculate the Volume
(a) cubic centimeters
Find the volume
(a) cubic centimeters
What is the volume of this prism?
(a) cubic centimeters
Find the Volume
(a) cubic centimeters
Find the volume of the prism.
(a) cubic centimeters
Find the volume of the figure.
(a) cubic centimeters
Calculate the volume.
(a) cubic centimeters
What is the volume of the Triangular Prism?
(a) cubic feet
1
3/9 or 1/3
1/12
3/9 or 1/3
A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?
3/10
3/9
1/10
1/9
What is the probability of rolling a 3 and spinning a red?
1/6
1/4
1/10
1/24
What is the probability of rolling an even number and spinning green?
1/8
1/15
4/8
1/10
What is the probability of drawing a blue color and a number 4?
2/5
1/6
3/15
1/15
A box contains 4 red pencils, 6 blue pencils, 5 black pencils, and 3 green pencils. The best description of the likelihood of selecting a blue pencil at random from the box is (a) .
Which of the following best describes the likelihood of the spinner landing on a number less than 6?
impossible
unlikely
equally likely
likely
certain
A regular 6-sided die is to be rolled once. What is the probability that a number less than 3 is rolled?
1/3
1/6
1/2
2/3
A regular 6-sided die is to be rolled once. What is the probability that a number less than or equal to 4 is rolled?
1/2
1/4
5/6
2/3
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
If you select a marble without looking, how likely is it that you will pick a black one?
certain
probable
unlikely
impossible
What is the probability of choosing a black marble?
Certain
Likely
Unlikely
Impossible
What is the probability of rolling an even number and flipping a head?
Use a tree diagram to find the probability that the balls are white colors.
What is the probability that you will get plain crust with ham on your pizza?
1/8
1/2
1/10
2/10
What is the probability of rolling an even number and flipping a head?
What is the probability of rolling a less than 6 and flipping a head?
Sample
Population
Random Sample
Quartile
_________ is a sample in which each individual or object in the entire population has an equal chance of being selected.
Sample
Population
Random Sample
Quartile
Biased
Unbiased
Representative
Peanut butter cups
Ms. Carson wants to know what the students at NMS's favorite ice-cream flavor is. She asks her students what their favorite flavor is. What is the population?
Students at NMS
Mrs. Carson's students
All staff members at NMS
All 7th grade students
A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population?
A selection of logo artists.
Every person in the United States.
A selection of shoppers from different states.
3,800 children age 5 - 15
To get valid results, a sample must be...
biased
unbiased
Determine if the following study is biased.
A public library asked every 10th person who entered to name the type of book they were getting.
A. Biased
B. Unbiased
Pizza Hut surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students in the 9th grade can be expected to prefer cheese pizza?
*NOTE: enter your answers as a number ONLY.
(a)
Eight of the 11 people on the TRE Train are carrying a briefcase. Based on this information, if there are 700 people on the train, then about how many do NOT have a briefcase.
*NOTE: enter your answers as a number ONLY.
Round answer to the nearest whole number.
(a)
On a youth soccer team 3 out of the 12 team members have played in previous years. Based on this information, if 150 kids are in the youth soccer league, then how many could be expected to have played the year before?
*NOTE: enter your answers as a number ONLY.
(a)
The Student Council asked every tenth student in the lunch line how they preferred to be contacted with school news. The results are shown in the table. Suppose there are 684 students at the school. How many can be expected to prefer E-mail? (just type in the number)
(a)
A container of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green or red bead is drawn?
*NOTE: enter your answers as a number ONLY.
(a)
Aaron took a multiple choice test. There were 25 questions, of which he answered 4 incorrectly. At this rate, how many questions should Aaron expect to answer incorrectly if he takes a test with a total of 150 questions?
(a)
There are 480 students in Marla’s school. In her classroom, there are 3 left-handed students and 17 right-handed students. Predict the number of left-handed students in the whole school.
(a)
14 out of 30 people like the beach. How many out of 9000 people should like the beach?
(a)
If 700 people were surveyed, how many of them like to have a rabbit?
(a)
Rosa conducted a survey of students' favorite types of music. The results are shown in the table. Of the 800 students in the whole school, how many would you expect to prefer Pop/Rock?
(a)
For which dot plot is both the median and the mode equal to 27?
Which measure is the same in both classes?
Median
Lower Quartile
Range
Interquartile Range
What is the Median of this data?
What is the mean of this data?
Consider the following Data Set and then Match the measure with its answer.
{36, 27, 42, 31, 33, 39, 52, 41, 31}
Median
36
Mode
31
Mean
37
Range
25
Interquartile Range
10.5
Find the difference in the ranges in the double box plot.
7
8
2
1
How much greater is the median for men than the median for women?
5
4
3
2
Find the difference in the medians.
Put the numbers in order from least to greatest first.
18.5
19.5
20.5
21.5
Which student has the greater median test score?
Amy
Ed
Which student has the greater interquartile range of test scores?
Amy
Ed
Which student has the greater range of test scores?
Amy
Ed
Which student appears to have more predictable test scores? (less spread out/ varied)
Amy
Ed
Which town has the greater median room price?
Surfside
Port Eagle
Which town has the greater interquartile range of room prices?
Surfside
Port Eagle
Which town appears to have more predictable room prices?
Surfside
Port Eagle
The above picture shows how far each car jumped. Which car had the better median?
Car A; median = 180
Car A; median = 185
Car B; median = 180
Car B; median = 185
Which of the follow are reasonable conclusions for the above data sets? SELECT ALL THAT APPLY.
Set B has more variability
Set A is more consistent
Set A has more variability
Set B is more consistent
Set B has a higher mean
Ten fourth-grade girls and ten seventh-grade girls were randomly selected. Their heights, in inches, are recorded below.
4th Grade
56, 47, 54, 51, 53, 58, 48, 54, 46, 53
7th Grade
57, 58, 60, 64, 62, 52, 57, 60, 65, 55
Which grade level has the greatest average (mean) height?
4th Grade
7th Grade
Which class, Class A or Class B, has the highest mean score?
Class A
Class B
Which has a greater interquartile range?
Airplane A
Airplane B
Both the same
What is the mean of Set A?
10
20
30
40
What is the median for Car B?
185
175
200
205
