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Worksheets7th Grade SAGE Review
Total questions: 84
Worksheet time: 43mins
Name
Class
Date
1.
How many miles per hour does he run if he can run 1.5 miles in 15 minutes?
a)
6 mph
b)
0.375 mph
c)
10 mph
d)
22.5 mph
2.
What does a direct proportion graph look like?
a)
Starts at the origin.
b)
Straight line.
c)
Decreasing curve that doesn't touch the axes.
d)
A straight line starting at the origin.
3.
What does an indirect proportion graph look like?
a)
Starts at the origin.
b)
Straight line.
c)
Decreasing curve that doesn't touch the axes.
d)
A straight line starting at the origin.
4.
a)
Directly proportional
b)
Inversely proportional
c)
not proportional
5.
a)
k=16.1
b)
k=16
c)
k=644
d)
there is no k
6.
a)
k=(3,2)
b)
k=1.5
c)
k=6
d)
k=4
7.
a)
k=32
b)
k=8
c)
k=2
d)
this isn't proportional
8.
What is the direct proportional equation for this description?
The cost per ticket is $35.
The cost per ticket is $35.
a)
35=xy
b)
y=35x
c)
x/y=35
d)
y=kx
9.
What is the inverse equation that fits this description?
The beach house costs $1,400 to rent for a week. The more people we can get to stay with us the less it we'll have to pay.
The beach house costs $1,400 to rent for a week. The more people we can get to stay with us the less it we'll have to pay.
a)
1400/x=y
b)
1400x=y
c)
1400
d)
y=k/x
10.
In an inverse proportion graph of card players to cards dealt, what would the point (8,14) mean?
a)
When 8 people play, they each are dealt 14 cards...the game has 102 cards total.
b)
The cards are dealt at a rate of 14/8 per person.
c)
There are 102 cards.
d)
When 14 people play, they get 8 cards each...they are playing with 102 cards total.
11.
In a direct proportion graph of hours worked to wages earned, what does the point (40, 560) mean?
a)
The person earns $40 for 560 hours of work.
b)
The person earns $560 for 40 hours of work, which makes $14/hr.
c)
The person earns $40 for 560 hours of work, which makes $0.07/hr.
d)
The person earns $560 for 40 hours of work.
12.
The ratio of cups of sparkling water to cups of juice in a punch recipe is 3:2.
How many cups of water if there are 6 cups of juice?
How many cups of water if there are 6 cups of juice?
a)
9 cups
b)
7 cups
c)
4 cups
d)
6 cups
13.
The ratio of cups of sparkling water to cups of juice in a punch recipe is 3:2.
How many cups of water if there are 9 cups of juice?
How many cups of water if there are 9 cups of juice?
a)
13.5 cups
b)
27 cups
c)
6 cups
d)
4.5 cups
14.
The ratio of cups of sparkling water to cups of juice in a punch recipe is 3:2.
How many cups of juice if there are 9 cups of water?
How many cups of juice if there are 9 cups of water?
a)
6 cups
b)
27 cups
c)
18 cups
d)
4.5 cups
15.
The ratio of cups of sparkling water to cups of juice in a punch recipe is 3:2.
What is the constant of proportionality?
What is the constant of proportionality?
a)
1.5
b)
k
c)
2/3
d)
I don't know
16.
1/2 + 1/5
a)
1/7
b)
2/7
c)
7/10
d)
1/10
17.
1/2 + 1/6
a)
2/3
b)
4/6
c)
1/12
d)
1/8
18.
3/4 + 5/6
a)
1 & 7/12
b)
19/12
c)
15/24
d)
8/12
19.
-6 - 8 =
a)
-14
b)
2
c)
-2
d)
14
20.
-6 + 8 =
a)
-14
b)
2
c)
-2
d)
14
21.
6 + 8 =
a)
-14
b)
2
c)
-2
d)
14
22.
6 - 8 =
a)
-14
b)
2
c)
-2
d)
14
23.
How can subtraction be rewritten?
a)
adding
b)
opposite
c)
adding the opposite
d)
it can't
24.
Opposite of -9
a)
9
b)
-9
c)
-1/9
d)
1/9
25.
Opposite of 19
a)
19
b)
-19
c)
1/19
d)
-1/19
26.
|22|
a)
22
b)
-22
27.
|-99|
a)
99
b)
-99
28.
Opposites...
a)
have different signs
b)
are reciprocals
c)
are the same
29.
Absolute value...
a)
is the opposite
b)
is a number's distance from 0
c)
awesome!
d)
the reciprocal
30.
Solve:
2x+6=12
2x+6=12
a)
x=3
b)
x=9
31.
Solve:
2x+6=12-4x
2x+6=12-4x
a)
x=1
b)
x=-1
c)
x=8
d)
x=2
32.
Solve:
6-x>12
6-x>12
a)
x>-6
b)
x<-6
c)
x<6
d)
x>6
33.
Solve:
6-3x>-18
6-3x>-18
a)
x>8
b)
x<8
c)
x<-8
d)
x>-8
34.
Write an algebraic equation or inequality that matches the situation described.
The subscription is a monthly payment of $5 and a one-time start up fee of $25.
The subscription is a monthly payment of $5 and a one-time start up fee of $25.
a)
y=5m+25
b)
y=30m
c)
y=25m+5
d)
y=85
35.
Write an algebraic equation or inequality that matches the situation described.
After I spend 70% of my paycheck on bills and put $100 into savings, the rest goes toward fun stuff.
After I spend 70% of my paycheck on bills and put $100 into savings, the rest goes toward fun stuff.
a)
y=0.7p-100
b)
y=70p-100
c)
y=100-70p
d)
y=0.7p+100
36.
Write an algebraic equation or inequality that matches the situation described.
To get at least a 90% in this class, you must hand in 25 points worth of homework and get 95's on all your tests.
To get at least a 90% in this class, you must hand in 25 points worth of homework and get 95's on all your tests.
a)
90≥25+.95t
b)
90≤25+.95t
c)
90≥25+95t
d)
90≥120t
37.
The scale of a map is 1 inch to 50 miles.
If two towns are 3.25 inches apart on the map, they are how far apart in real life?
If two towns are 3.25 inches apart on the map, they are how far apart in real life?
a)
162.5 miles
b)
150 miles
c)
15.4 miles
38.
The scale of a map is 1 inch to 50 miles.
If two towns are 75 miles apart in real life, how far apart are they on the map?
If two towns are 75 miles apart in real life, how far apart are they on the map?
a)
1.5 inches
b)
75 inches
c)
2/3 inches
39.
The scale of a blueprint is 1 cm to 2 m.
A room has an area of 48 m2. What is the area of the blueprint room?
A room has an area of 48 m2. What is the area of the blueprint room?
a)
12 cm2
b)
24 cm2
c)
48 cm
40.
A model of a tank is 12 inches long. The real thing is 18 feet. What is the scale?
a)
12 inches to 18 feet
b)
1 inch to 1.5 feet
c)
2/3 inch to 1 foot
41.
A model of a tank is 12 inches long. The real thing is 18 feet. What is the scale factor?
a)
1/18
b)
1 inch to 1.5 feet
c)
18
d)
1/216
42.
The Lego Architecture model of the Sydney Opera House is 25 inches deep. The real opera house is 600 feet deep. What is the scale?
a)
25 inches to 600 feet
b)
1 inch to 24 feet
c)
1/24
d)
25/600
43.
The Lego Architecture model of the Sydney Opera House is 25 inches deep. The real opera house is 600 feet deep. What is the scale?
a)
1250
b)
1/288
c)
1/24
d)
25/600
44.
What is an angle bisector?
a)
A line that cuts an angle in half
b)
A line that cuts a segment in half
c)
A knife
d)
It cuts something in half
45.
What is a perpendicular bisector?
a)
A line that cuts an angle in half
b)
A line that cuts a segment in half
c)
A knife
d)
It cuts something in half
46.
What is true of every point on an angle bisector?
a)
It is equidistant from the vertex
b)
It is equidistant from each side of the angle at points equidistant from the vertex
c)
It is equidistant from the points on the rays
d)
It cuts something in half
47.
What is true of every point on a perpendicular bisector?
a)
It is equidistant from the vertex
b)
It is equidistant from the endpoints of the segment
c)
It is equidistant from the points on the segment
d)
It cuts something in half
48.
What special point is created by the intersection of the angle bisectors of a plane figure?
a)
circumcenter
b)
incenter
c)
midpoint
d)
center
49.
What special point is created by the intersection of the perpendicular bisectors of a plane figure?
a)
circumcenter
b)
incenter
c)
midpoint
d)
center
50.
Where should a perpendicular bisector bisect a line segment?
a)
circumcenter
b)
incenter
c)
midpoint
d)
center
51.
What is the formula for circumference of a circle?
a)
2πr
b)
πr2
c)
π
d)
r2
52.
What is the formula for the area of a circle?
a)
2πr
b)
πr2
c)
π
d)
r2
53.
What is circumference?
a)
The inside of the circle
b)
The distance around the outside of the circle
c)
The diameter
d)
The radius
54.
A circle has a radius of 5m. What is its circumference?
a)
10π m
b)
5π m
c)
25π m
d)
?m
55.
A circle has a diameter of 5m. What is its circumference?
a)
10π m
b)
5π m
c)
25π m
d)
? m
56.
A circle has a radius of 5m. What is its area?
a)
10π m2
b)
5π m2
c)
25π m2
d)
25π m
57.
A circle has a diameter of 6m. What is its area?
a)
9π m2
b)
3π m2
c)
6π m2
d)
9π m
58.
What would the shape of the cross section be of a rectangular prism cut parallel to the bases?
a)
a rectangle
b)
a rectangle congruent to the bases
c)
a square
d)
don't know
59.
What would the shape of the cross section be of a cone cut parallel to the base?
a)
a circle
b)
a circle congruent to the base
c)
a circle similar to the base
d)
don't know
60.
What would the shape of the cross section be of a cylinder cut parallel to the base?
a)
a circle
b)
a circle congruent to the base
c)
a circle similar to the base
d)
don't know
61.
What would the shape of the cross section be of a pentagonal pyramid cut parallel to the base?
a)
a pentagon
b)
a pentagon congruent to the base
c)
a pentagon similar to the base
d)
a square
62.
What would the shape of the cross section be of a square pyramid cut perpendicular to the base at the vertex?
a)
a triangle
b)
a trapezoid
c)
a rectangle
d)
a square
63.
What would the shape of the cross section be of a cylinder cut perpendicular to the base?
a)
a triangle
b)
a trapezoid
c)
a rectangle
d)
a square
64.
What would the shape of the cross section be of a cone cut perpendicular to the base at the vertex?
a)
a triangle
b)
a trapezoid
c)
a rectangle
d)
a square
65.
What would the shape of the cross section be of a sphere be?
a)
a triangle
b)
a trapezoid
c)
a circle
d)
a square
66.
What would the shape of the cross section be of a sphere be?
a)
a triangle
b)
a trapezoid
c)
a circle
d)
a square
67.
What would the shape of the cross section be of a square pyramid be if it is cut somewhere on the slant height?
a)
a triangle
b)
a trapezoid
c)
a circle
d)
a square
68.
a)
∠5 and ∠8 are alternate interior angles
b)
∠5 and ∠8 are vertical angles
c)
∠5 and ∠8 are corresponding angles
d)
∠5 and ∠8 are supplementary angles
69.
a)
∠10 and ∠8 are alternate interior angles
b)
∠4 and ∠8 are vertical angles
c)
∠10 and ∠8 are corresponding angles
d)
∠10 and ∠8 are alternate exterior angles
70.
a)
∠10 and ∠9 are complementary angles
b)
∠4 and ∠8 are complementary angles
c)
∠10 and ∠8 are corresponding angles
d)
∠10 and ∠9 are supplementary angles
71.
a)
∠3 and ∠7 are complementary angles
b)
∠3 and ∠7 are alternate angles
c)
∠10 and ∠8 are corresponding angles
d)
∠4, ∠7 and ∠8 are supplementary angles
72.
If ∠1 is 30°, then ∠10 is
a)
30
b)
60
c)
330
d)
can't find it
73.
The angle sum of a triangle is
a)
90
b)
180
c)
360
d)
uhhh
74.
What type of sampling method will achieve the most informative results?
a)
random sampling
b)
biased sampling
c)
picking 5 people out of a lot of people
75.
What is the probability that when you roll a die, you will roll an even number?
a)
3/6
b)
0.5
c)
100%
76.
What is the probability that when you roll a die, you will roll a six?
a)
1/6
b)
≈0.167
c)
100%
77.
If the probability of an event not occurring is 0.75, how likely is it that the event will occur?
a)
not likely
b)
likely
c)
neither likely not unlikely
78.
There is a bag filled with 3 apples, 2 bananas and 5 oranges.
Define the probability model for choosing an apple.
Define the probability model for choosing an apple.
a)
3/10
b)
2/10
c)
5/10
d)
1/10
79.
There is a bag filled with 3 apples, 2 bananas and 5 oranges.
Define the probability model for choosing an orange.
Define the probability model for choosing an orange.
a)
3/10
b)
2/10
c)
5/10 = 1/2
d)
1/10
80.
There is a bag filled with 3 apples, 2 bananas and 5 oranges.
Define the probability model for not choosing a banana.
Define the probability model for not choosing a banana.
a)
3/10
b)
2/10
c)
5/10
d)
8/10
81.
A fair die is tossed. Describe the probability model for rolling a number 1.
a)
1/6
b)
6/6
c)
0
d)
1
82.
A fair die is tossed. Describe the probability model for rolling a number 3.
a)
1/6
b)
6/6
c)
3/6
d)
1
83.
A loaded die is tossed. The probability of rolling a 6 is 1/3, but the probability of rolling the other 5 numbers is equal. Describe the probability model for rolling a number 3.
a)
4/30=2/15
b)
1/6
c)
1/3
d)
5/18
84.
The sum of the probabilities of events is equal to
a)
1
b)
0
c)
50
d)
n
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