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Worksheets7th Grade Assessment Review
Total questions: 75
Worksheet time: 3hrs 27mins
Name
Class
Date
1.
Joan needs $60 for a class trip. She has $32. She can earn $4 an hour mowing lawns. If the equation 4h + 32 = 60 shows this relationship, how many hours must Joan work to have the money she needs?
a)
7 hours
b)
17 hours
c)
23 hours
d)
28 hours
2.
What value of x satisfies the equation 4x + 22 = 36?
a)
x = 3.5
b)
x = 5.0
c)
x = 6.0
d)
x = 7.5
3.
Which expression is equivalent to 3x–3y?
a)
3xy
b)
3(x – y)
c)
3x – y
d)
x – 3y
4.
What value of x makes the following equation true? x/9 + 6 = 8
a)
x = 2
b)
x = 18
c)
x = 66
d)
x = 126
5.
What is the value of x if -3x + 2 = -7?
a)
x = -6
b)
x = -3
c)
x = 3
d)
x = 6
6.
Marisa’s car gets an average of 28 miles per gallon of gas. She plans to drive 200 miles today and 220 miles tomorrow. How many gallons of gas should she expect to use in all?
a)
15 gallons
b)
28 gallons
c)
56 gallons
d)
67 gallons
7.
The sum of a number (n) and 14 is 72. Which equation shows this relationship?
a)
14 + n = 72
b)
72n = 14
c)
14 – n = 72
d)
72 + n = 14
8.
Which expression below has the same value as x3?
a)
3x
b)
x ÷ 3
c)
x . x . x
d)
3x . 3x . 3x
9.
Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?
a)
12 hours
b)
20 hours
c)
60 hours
d)
140 hours
10.
Which equation shows the distributive property?
a)
4(3 + 6) = 12 + 24
b)
(4 + 3) + 6 = 6 + (4 + 3)
c)
(12 + 4) + 0 = 12 + 4
d)
(12 + 4) + 6 = 12 + (4 + 6)
11.
Which of the following is an example of an inequality?
a)
3n – 6
b)
4n > 9
c)
2 = n – 1
d)
5 + 0 = 5
12.
The numbers of parts produced by three different machines are shown in the table. Only one of the machines produces parts at a constant rate. Which equation represents y, the number of parts produced in x minutes, for the one machine that produces parts at a constant rate?
* No Calculator
* No Calculator
a)
y = 3x
b)
y = 6x
c)
y = 8x
d)
y = 9x
13.
This graph shows the relationship between the pounds of cheese bought at a deli and the total cost, in dollars, for the cheese. What statement about the graph is true?
a)
The point (2, 8) shows that 8 pounds of cheese cost $2.00.
b)
The point (1, 4) shows the cost is $4.00 for 1 pound of cheese.
14.
Devon exercised the same amount of time each day for 5 days last week. His exercise included walking and swimming.
• Each day he exercised, he walked for 10 minutes.
• He exercised for a total of 225 minutes last week.
What is the number of minutes Devon swam each of the 5 days last week? *No Calculator
• Each day he exercised, he walked for 10 minutes.
• He exercised for a total of 225 minutes last week.
What is the number of minutes Devon swam each of the 5 days last week? *No Calculator
a)
45 minutes
b)
35 minutes
c)
47 minutes
d)
37 minutes
15.
Jessica rented 1 video game and 3 movies for a total of $11.50.
• The video game cost $4.75 to rent.
• The movies cost the same amount each to rent.
What amount, in dollars, did Jessica pay to rent each movie? *No Calculator
• The video game cost $4.75 to rent.
• The movies cost the same amount each to rent.
What amount, in dollars, did Jessica pay to rent each movie? *No Calculator
a)
$5.42
b)
$3.83
c)
$4.82
d)
$2.25
16.
On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1 3/4 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?
a)
200 miles
b)
175 miles
c)
100 miles
d)
125 miles
17.
A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
a)
90 ft
b)
7.5 ft
c)
4.5 ft
d)
45 in
18.
A model of a planned baseball stadium is 2 ft wide. The actual stadium will be 200 yd wide. What is the scale?
a)
2 feet = 50 yards
b)
1 foot = 200 yards
c)
1 foot = 100 yards
d)
1 foot = 50 yards
19.
On the scale drawing of a museum, the scale is 0.5 inch = 10 feet. Find the actual length of the Renaissance gallery if it 4.25 inches in the drawing.
a)
85 feet
b)
8,500 feet
c)
10 feet
d)
21 feet
20.
The largest known pyramid is the Pyramid of Khufu. At a certain time of day, a vertical yard stick casts a shadow 1.5 feet long, and the pyramid casts a shadow 241 feet long. How tall is the pyramid? (Hint know how many feet are in a yard stick)
a)
120.5 feet
b)
482 feet
c)
160.7 feet
d)
321.3 feet
21.
Find the volume of a number cube (sides are 15 mm)
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
22.
Find the volume. (6 cubes by 2 cubes by 2 cubes)
a)
24 cubic units
b)
28 cubic units
c)
12 cubic units
d)
20 cubic units
23.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
24.
Find the volume
l = 6 yd, w = 5 yd, h = 11 yd
l = 6 yd, w = 5 yd, h = 11 yd
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
25.
What is the volume?
length=2 units
width=2 units
height=3 units
length=2 units
width=2 units
height=3 units
a)
Volume = 12 cubic units
b)
Volume = 7 cubic units
c)
Volume = 223 cubic units
d)
Volume = 8 cubic units
26.
A cube has sides that are all the same length.
a)
True
b)
False
27.
A cube has a length of 3 inches. Find the volume.
a)
9 inches3
b)
12 inches3
c)
27 inches3
d)
18 inches3
28.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
29.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
30.
What is the supplement angle to 42°?
a)
48°
b)
138°
c)
100°
d)
Not possible
31.
Find x. (supplementary angles with m<1 = 123, m<2 = 3x)
a)
15
b)
16
c)
18
d)
19
32.
What is the resulting shape of this intersection?
(pyramid sliced horizontally)
(pyramid sliced horizontally)
a)
Prisim
b)
Square
c)
Triangle
d)
Point
33.
What would the intersection of this figure be? (cone cut vertically down the center)
a)
Circle
b)
Square
c)
Triangle
d)
Cone
34.
What is the area of this circle? d = 12cm
a)
163.2 cm2
b)
15.3 cm2
c)
124.2 cm2
d)
113.1 cm2
35.
What is the area of this circle? (r = 21ft.)
a)
1385.44 ft2
b)
2142.12 ft2
c)
5541.77 ft2
d)
1289.12 ft2
36.
Alex has trained his puppy, Popper, to jump through a ring. According to Alex's measurements and calculations, the ring has a diameter of 3.5 feet. What is the ring's circumference (use 3.14 for pi)?
a)
11.32 ft
b)
12.25 ft
c)
10.99 ft
d)
8.75 ft
37.
After taking part in a competition, Yahir received a bronze medal with a radius of 2.5 inches. What is the medal's diameter?
a)
2.5 in
b)
5 in
c)
4 in
d)
4.5 in
38.
A bicycle tire has a diameter of 27 inches. How far does the bike travel along the ground when the wheel rotates once? (Hint: find the circumference)
a)
81
b)
15.5
c)
27
d)
13
39.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy? r = 62.5 ft
a)
56.25 ft
b)
246 ft
c)
365 ft
d)
393 ft
40.
On a 6-sided die, which is more likely?
a)
Rolling an odd number
b)
Rolling an even number
c)
They are both equally likely.
41.
There are 15 girls and 15 boys in 8th period. If Terry randomly selects a member of 8th period, what is the probability that she will select a boy?
a)
15/15
b)
1/2
c)
15/40
42.
Ten balls numbered one through ten are placed in an urn. One ball is selected at random. What is the probability of drawing a number that is NOT 6?
a)
1/10
b)
6/10
c)
9/10
d)
4/10
43.
The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available?
a)
7
b)
12
44.
The mode score on the 6th grade math test was 94! Which of these interpretations must be correct?
a)
99 was the highest score on the test.
b)
More students received a 94 than any other score
c)
No student scored below a 50
d)
A score of 91 was slightly below average.
45.
If the mean is 15 what is the missing number in the data
12,13,12,14,18,x
12,13,12,14,18,x
a)
21
b)
15
c)
18
d)
20
46.
Find the mode of these numbers:
4,3,6,4,3,6,6,3,2,1,3
4,3,6,4,3,6,6,3,2,1,3
a)
3
b)
6
c)
4
d)
2
47.
This is a dot plot of random values. What is the Mean?
a)
4.84
b)
242
c)
50
d)
50.24
48.
Extreme values are also known as what?
a)
interquartile ranges
b)
modes
c)
medians
d)
outliers
49.
What measure of center is most affected by an outlier?
a)
mean
b)
median
c)
mode
d)
range
50.
The table shows the points scored by the JV basketball team in their first seven games. Calculate the mean, median, mode and range. Which statistical measure makes the team sound the best?
a)
Mean
b)
Median
c)
Mode
d)
Range
51.
Simplify 6(y + 2) - 6 + 5y
a)
6y + 6
b)
11y - 6
c)
11y + 6
d)
11y - 4
52.
The perimeter of a rectangular field is 168 feet. The field is 36 feet wide. How long is the field?
a)
4.66 feet
b)
48 feet
c)
66 feet
d)
96 feet
53.
Fazio is selecting a jersey. His choices are shown below.
Fazio chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that Fazio selects a striped jersey both times?
Fazio chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that Fazio selects a striped jersey both times?
a)
1/100
b)
1/16
c)
1/25
d)
1/81
54.
What is the area of this figure?
a)
52 square centimeters
b)
36 centimeters
c)
57 square centimeters
d)
40 square centimeters
55.
Find the area of the composite figure.
a)
100
b)
178.5
c)
139.25
d)
175
56.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
57.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
58.
For the box plot below, which statement is true based on the box plots?
a)
Test A had the greater range of scores.
b)
More students did better on Test A than on Test B.
c)
The Interquartile range for Test B is greater than for Test A
d)
One half of the students on each test got 25 or fewer questions correct.
59.
Find the unit rate.
3/5 page in 3/4 min
3/5 page in 3/4 min
a)
4/5 pages
b)
4/5 page per min
c)
1 page
1 page
1 page
d)
1 page per min
60.
What is the sum of 1/2 + 1/3 + 1/6?
a)
3/14
b)
3/11
c)
1
d)
6/8
61.
11/12 - 3/4
a)
14/12 = 1 2/12 = 1 1/6
b)
8/8 = 1
c)
2/12 = 1/6
d)
8/12 = 2/3
62.
8/11 - 5/11
a)
13/22
b)
3/22
c)
13/11 = 1 2/11
d)
3/11
63.
3/10 x 5/8
a)
3/16
b)
15/80
c)
8/18 = 4/9
d)
3/8
64.
1/4 ÷ 2
a)
1/8
b)
2
c)
8
d)
1/2
65.
a)
5/7
b)
4/33
c)
8/66
d)
11/48
66.
a)
12/18
b)
2/3
c)
5/15
d)
5/18
67.
a)
1/6
b)
2/12
c)
8/9
d)
8/12
68.
Evaluate the following:
9 - 8 ÷ 22
9 - 8 ÷ 22
a)
1
b)
4
c)
7
d)
8
69.
| –3 |
a)
3
b)
-3
c)
0.30
d)
30
70.
Evaluate the expression.
|–5| + 8
|–5| + 8
a)
3
b)
13
c)
-13
d)
-3
71.
Which is the greatest integer?
a)
-33
b)
-31
c)
-28
d)
-17
72.
What is the absolute value of -26?
a)
26
b)
-26
c)
-36
d)
36
73.
Which has the same absolute value as -55?
a)
0
b)
-1
c)
1
d)
55
74.
| -56 + (-34) | =
a)
90
b)
-90
c)
-22
d)
22
75.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
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