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WorksheetsNSCAS 7th Grade Review
Total questions: 75
Worksheet time: 3hrs 12mins
Name
Class
Date
1.
Find the Area of a circle that has a diameter of 10 inches.
a)
31.4 inches
b)
314 inches
c)
15.7 inches
d)
78.5 inches
2.
If you roll a six-sided die, what is the probability of rolling an even number? Answer in the simplest form
a)
2/6
b)
1/6
c)
3/6
d)
1/2
3.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
4.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
5.
Find the Volume
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
6.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
7.
Find the circumference of the circle
a)
87.82
b)
153.86
c)
43.96
d)
307.72
8.
If you are given the diameter, how can you calculate the radius
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
add the diameter plus 2
9.
The distance around a circular track is 31.4 yards. What formula would you use to solve for the radius of the track?
a)
A=3.14(r)
b)
C=3.14d
c)
C=2(3.14)r
10.
(-40) + (-39)
a)
1
b)
-1
c)
79
d)
-79
11.
Find the sum. Be sure to simplify.
-⅘ + ⅕
-⅘ + ⅕
a)
-1
b)
-⅗
c)
⅗
d)
5/5
12.
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
13.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
14.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
P(white, then purple, then black)
a)
1/36
b)
2/39
c)
5/41
d)
6/43
15.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
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.
What side corresponds with AB?
a)
BC
b)
FE
c)
DE
d)
FD
19.
What is the area of the composite figure?
a)
80 cm2
b)
16 cm2
c)
96 cm2
d)
32 cm2
20.
Find the area of the parallelogram.
a)
12 units2
b)
10 units2
c)
13 units2
d)
6 units
21.
What do we call this object below?
a)
Net
b)
Triangle
c)
Geometry
d)
y = mx + b
22.
Find the surface area of the triangular prism.
a)
228 in2
b)
204 in2
c)
304 in2
d)
328 in
23.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
24.
Find the total surface area of the prism.
a)
1,909,440 square inches
b)
636 square inches
c)
792 square inches
d)
1,872
25.
What is the volume of this figure?
a)
18 cubic cm
b)
72 cubic cm
c)
576 cubic cm
d)
70 cubic cm
26.
What is the volume of this figure?
a)
24.6 yd^3
b)
12.75 yd^3
c)
27.5 yd^3
d)
25.5 yd^2
27.
Calculate the composite surface area of the figure.
a)
80 cm2
b)
72 cm2
c)
52 cm2
d)
42 cm2
28.
If I have a negative multiplied with a positive, what will the answer be?
a)
Positive
b)
Negative
29.
Solve 2x - 3 = 1
a)
3
b)
2
c)
1
d)
-2
30.
Solve -5t + 9 = 24
a)
-3
b)
3
c)
12
31.
4 + k/2 = -3
a)
14
b)
-14
c)
4
d)
-2
32.
x/12 - 5 = -6
a)
-12
b)
-19
c)
11
d)
15
33.
Match the graph with its inequality. hint: don't be tricked by the variable on the right.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
34.
Will my circle be colored in?
5 ≥ x
5 ≥ x
a)
Yes
b)
No
35.
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
36.
Pick the correct inequality.
a)
A
b)
B
c)
C
d)
D
37.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
38.
Find the Unit Rate.
405 rotations in 5 minutes
405 rotations in 5 minutes
a)
81 rotations per minute
b)
73 rotations per minute
c)
18 rotations per minute
d)
810 rotations in 10 minutes
39.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
40.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
41.
The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far will it travel in 12 hours?
a)
480
b)
1960
c)
84
d)
25
42.
8. Find the unit rate of $97.50 for 15 pizzas.
a)
$6 per pizza
b)
$82.50 per pizza
c)
$5.50 per pizza
d)
$6.50 per pizza
43.
What is the retail price for a shirt that a store buys for $10 after a 30% markup?
a)
$7.00
b)
$3.00
c)
$13.33
d)
$13.00
44.
Walmart sells birthday cakes for $18. After 3 days, they mark down the cakes by 45%. What is the discounted price?
a)
$9.90
b)
$8.10
c)
$16.10
d)
$17.90
45.
On February 15th, Valentine's Day candy is marked down by 60%. If a large bag of snack-sized chocolate retailed for $12, what is the clearance price on the 15th?
a)
$7.20
b)
$16.80
c)
$4.80
d)
$5.23
46.
What is 20% written in decimal form?
a)
2.0
b)
.2
c)
20.
d)
.02
47.
A food company reduced the amount of salt in one of their food products from 700 milligrams to 630 milligrams. What is the percent decrease in the amount of salt in this food product?
a)
10%
b)
12%
c)
70%
d)
90%
48.
Ms. Sanchez has 35 students in her science class.If her class increases to 42 students next year, what will be the percent of change?
a)
20%
b)
75%
c)
93%
d)
33%
49.
What is 20% of 75?
a)
15
b)
60
c)
6
d)
1.5
50.
26 is 5% of what number?
a)
1.3
b)
2.5
c)
25.95
d)
520
51.
200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?
a)
800
b)
180
c)
80
d)
120
52.
What is 30% of 80?
a)
30
b)
24
c)
2.4
d)
56
53.
If a = 4 & b = 6, what is 3a + 5b?
a)
40
b)
42
c)
44
d)
46
54.
Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2xz
2xz
a)
1
b)
24
c)
-24
d)
9
55.
Work out the value of the expression when x = 3, y = – 2 and z = – 4.
2x2 + z2
2x2 + z2
a)
2
b)
27
c)
50
d)
34
56.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
57.
-(8 - m)
a)
m - 8
b)
-8 - m
c)
8 - m
d)
m + 8
58.
a)
-2x+3
b)
2x+3
c)
-2x-3
d)
2x-3
59.
Factor:
56a3-8a
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
60.
_______ is a part of a group being surveyed.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
61.
_________ is a sample in which each individual or object in the entire population has na equal chance of being selected.
a)
Sample
b)
Population
c)
Random Sample
d)
Quartile
62.
The manager of a book store surveys people who buy mystery novels to see if the store should expand its hours. What is the population?
a)
People who visit the bookstore.
b)
People who buy mystery novels.
c)
Residents of the town
d)
People who like to read.
63.
A music store gives comment cards to all members of its Jazz Club to find out about satisfaction with the club's features. Identify the sample.
a)
People who play instruments.
b)
All music store customers except Jazz Club members.
c)
All music store customers
d)
Jazz Club members
64.
A U.S. senator from Maine wants to find out the opinion of the voters in his state on issues concerning education. The office of the senator sends out a survey to a random sample of registered voters in Maine. Is this random sampling?
a)
Yes
b)
No
65.
A teacher decides to survey the students in her classes to find out their opinion on the new menu in the cafeteria. Is this biased or unbiased?
a)
Biased
b)
Unbiased
66.
The TV station wants to get the opinion of viewers on the look of a new game-show set. The station's staff calls random people in the phone book. Is this biased or unbiased?
a)
Biased
b)
Unbiased
67.
Is the solution to
(-3) x 1/2
negative or positive?
(-3) x 1/2
negative or positive?
a)
Negative
b)
Positive
68.
Multiply. Write your answer in simplest form.
a)
27/40
b)
-27/40
c)
5/6
d)
-5/6
69.
a)
15 3/4
b)
12 3/20
c)
15
d)
12 19/20
70.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
71.
Find the area of this triangle.
a)
150 ft2
b)
100 ft2
c)
50 ft2
d)
35 ft2
72.
Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.
a)
18
b)
36
c)
72
d)
40
73.
Find the area of the trapezoid.
a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2
74.
What is the Area of this shape?
a)
56 cm2
b)
50 cm2
c)
78 cm2
d)
I have no idea how to do this. I need to come to tutoring.
75.
What is the area of the composite shape?
a)
40ft2
b)
9ft2
c)
49ft2
d)
61ft2
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