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WorksheetsGrade 8/7Acc Review
Total questions: 168
Worksheet time: 5hrs 7mins
Name
Class
Date
1.
2/5 as a percentage
a)
25%
b)
20%
c)
40%
d)
0.4
2.
3/8 as a decimal
a)
0.38
b)
3.8
c)
0.45
d)
0.375
3.
Which fraction can be expressed as a repeating decimal?
a)
1/10
b)
1/4
c)
3/5
d)
7/9
4.
Write 5/9 as a decimal.
a)
0.59
b)
0.95
c)
0.555...
d)
1.8
5.
-9(-5)
a)
45
b)
-45
c)
-40
d)
-14
6.
-64 ÷ 8
a)
7
b)
8
c)
-7
d)
-8
7.
Evaluate the following expression.
2.5 - 3.45
2.5 - 3.45
a)
-1.95
b)
-3.20
c)
3.20
d)
-0.95
8.
Evaluate the following expression.
24 - 36 + 3 - (-7)
24 - 36 + 3 - (-7)
a)
-2
b)
2
c)
-14
d)
19
9.
Multiply.
a)
28/54
b)
-8/21
c)
-2 7/54
d)
-1
10.
A recipe calls for 1/2 cup of sugar and 1/3 cup of cinnamon. What is the measure of the two ingredients combined?
a)
5/6 cup
b)
2/5 cup
c)
1/6 cup
d)
1/5 cup
11.
A girl's hair is 12 3/8 inches long. If she has 2 1/2 inches cut off, how long will her hair be?
a)
10 1/4 inches
b)
10 3/16 inches
c)
9 7/8 inches
d)
10 7/8 inches
12.
After a pizza party there are 4 2/3 pizzas left over. If the pizzas are divided so that party goers can take home 1/6 of a pizza, how many guests can take home pizza?
a)
26 guests
b)
28 guests
c)
8 guests
d)
33 guests
13.
What fraction is red?
a)
1/4
b)
2/4
c)
3/4
d)
4/4
14.
What fraction of the rectangle is blue?
a)
1/6
b)
1/3
c)
6/2
d)
2/3
15.
5/7 + 4/14
a)
1
b)
10/14
c)
9/7
d)
3/5
16.
11/12+5/6
a)
7/4
b)
21/12
c)
1 9/12
d)
1 3/4
17.
Divide these fractions
a)
1.5 / 2
b)
3/4
c)
6 / 32
d)
5 / 32
18.
Multiply these fractions
a)
2 / 18
b)
2 / 7
c)
1 1/3
d)
2 / 1.6
19.
Divide these fractions
a)
8 / 9
b)
2 / 1
c)
6 / 6
d)
.333 / .75
20.
Find the nth term of...
2,4,6,8...
2,4,6,8...
a)
3n
b)
2n
c)
4n
d)
10n
21.
Find the nth term of...
10,20,30,40...
10,20,30,40...
a)
3n
b)
2n
c)
4n
d)
10n
22.
Find the nth term of...
3,5,7,9...
3,5,7,9...
a)
2n+1
b)
2n-1
c)
2n+2
d)
2n-2
23.
Find the nth term of...
1,3,5,7...
1,3,5,7...
a)
2n+1
b)
2n-1
c)
2n+2
d)
2n-2
24.
Find the nth term of...
3,8,13,18...
3,8,13,18...
a)
5n+3
b)
5n-2
c)
3n+5
d)
-2n+5
25.
Find the nth term of...
2,0,-2,-4...
2,0,-2,-4...
a)
-3n+1
b)
-n+3
c)
-2n+4
d)
-4n+2
26.
How many counters would come next?
a)
5
b)
7
c)
9
d)
11
27.
What are the next 2 terms:
1/3, 2/3, 1, 4/3...
1/3, 2/3, 1, 4/3...
a)
2 and 7/3
b)
5/3 and 2
c)
5/3 and 7/3
d)
none of the above
28.
Convert 3/5 into a decimal
a)
0.666
b)
0.6
c)
1.667
d)
3.5
29.
simplify 18/30 to its lowest term
a)
9/15
b)
3/5
c)
8/10
d)
2
30.
In the Pythagorean Theorem, c is always the ____ number.
a)
largest
b)
smallest
c)
middle
d)
first
31.
The Pythagorean Theorem is _____.
a)
a2+b2=c2
b)
a2+c2=b2
c)
b2+c2=a2
d)
a2-b2=c2
32.
Solve for p
p - 9 = 7
p - 9 = 7
a)
p = -2
b)
p = 16
c)
p = 63
d)
p = 2
33.
Solve for x
x + 1/6 = 5/6
x + 1/6 = 5/6
a)
x = 4/6
b)
x = 5
c)
x = 5/36
d)
x = 30
34.
11 - 4b = 1 + 6b
a)
b = 1
b)
b = -11
c)
b = -1
d)
b = -10
35.
-(5 - 4n) + 7n = -93
a)
n = -5
b)
n = -2
c)
n = -8
d)
n = 3
36.
-6(x - 1) = -6(5 - 5x)
a)
x = -16
b)
x = -8
c)
x = 13
d)
x = 1
37.
1. Ted bought a dolphin poster for $12. He now has $5. Write and solve a subtraction equation to find out how much money Ted took to the aquarium.
a)
m - 12 = 5
b)
m - 5 = 12
c)
m + 5 = 12
d)
m + 12 = 5
38.
2. Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
39.
3. Kenya bought 18 beads, and Nancy bought 13 beads. It takes 35 beads to make a necklace. Write and solve an addition equation to find how many more beads they need to make one necklace.
a)
18 - 13 - b = 35
b)
18 + 13 + b = 35
c)
35 - 18 - 13 = b
d)
b - 13 - 18 = 35
40.
4. There are 3 tennis balls in each can. The coach bought a total of 27 tennis balls. Write and solve a multiplication equation to find how many cans the coach bought.
a)
x/3 = 27
b)
27x = 3
c)
x/27 = 3
d)
3x = 27
41.
7. During a sales trip, Mr. Jones drove 15 miles east from Brownsville to Carlton. Then he drove several more miles east from Carlton to Sun City. The distance from Brownsville to Sun City is 35 miles. Write and solve an addition equation to find how many miles it is from Carlton to Sun City.
a)
35 - m = 15
b)
35 + m = 15
c)
35 - 15 = m
d)
15 + m = 35
42.
Solve:
-4x = 24
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
43.
Solve:
3x + 7 = -8
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
44.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
45.
Solve the equation:
3(x - 1) = 2x + 9
3(x - 1) = 2x + 9
a)
x = 12
b)
no solution
c)
x = 10
d)
x = 6
46.
Solve the equation:
3x - x + 2 = 4(2x - 1)
3x - x + 2 = 4(2x - 1)
a)
infinite solutions
b)
x = 1
c)
x = -1
d)
no solution
47.
Solve the equation:
½ (2x + 6) = 3x + 13
½ (2x + 6) = 3x + 13
a)
no solution
b)
x = 8
c)
x = -5
d)
x = 7
48.
a)
7
b)
-16
c)
4
d)
-15
49.
a)
4
b)
44
c)
-4
d)
-44
50.
a)
-180
b)
-20
c)
20
d)
180
51.
Solve the equation
a)
x = 56
b)
x = -56
c)
x = 8/7
d)
x = -8/7
52.
Solve the equation.
a)
x = -73/11
b)
v = -73
c)
v = -73/11
d)
v = 73/11
53.
Solve the equation.
a)
q = -46
b)
q =-5
c)
q = -9.2
d)
q = -9.5
54.
Solve the equation.
a)
z = 2
b)
z = 56
c)
z = 11/8
d)
z=10
55.
Multiplying and Dividing by 10s
a)
29800
b)
29.8000
c)
298
d)
298000
56.
Multiplying and Dividing
a)
940 r6
b)
5920
c)
101 r4
d)
592
57.
Negative Numbers
a)
48
b)
12
c)
0
d)
-48
58.
Fractions to Decimals
a)
0.3
b)
0.34
c)
0.75
d)
None of these
59.
change 25% to a decimal
a)
.25
b)
.2
c)
2.5
d)
.025
60.
Find 14% of 204
a)
28.56
b)
2.856
c)
.2856
d)
285.6
61.
change .3 to a percent
a)
3%
b)
30%
c)
300%
d)
.30%
62.
Change .04 to a percent
a)
40%
b)
400%
c)
4%
d)
.4%
63.
Find 3.5% of 125
a)
.4375
b)
43.75
c)
437.5
d)
4.375
64.
Change 247% to a decimal
a)
24.7
b)
2.47
c)
.247
d)
.0247
65.
find 17% of 23
a)
3.91
b)
.391
c)
39.1
d)
391
66.
20% of a number is 60, what is the number?
a)
300
b)
400
c)
500
d)
600
67.
If a price was £450 and it increase by 30%, what is the new price?
a)
585
b)
135
c)
500
d)
520
68.
20% of a number is 40. What is the number?
a)
200
b)
150
c)
300
d)
250
69.
What is 5% of 50
a)
5
b)
2.5
c)
2
d)
3
70.
Which is bigger:
25% of 200
OR
20 % of 250
25% of 200
OR
20 % of 250
a)
25% of 200
b)
20% of 250
c)
They are the same
71.
Find the percentage for 7 out of 20.
a)
7%
b)
35%
c)
65%
d)
70%
72.
15% of 200 apples were bad. How many apples were bad?
a)
85
b)
26
c)
30
d)
55
73.
Gary read 80 pages of a 320-page book. What percent of the book did he read?
a)
34%
b)
15%
c)
25%
d)
28%
74.
What is 10% of 30?
a)
3
b)
0.3
c)
30
d)
0.03
75.
What is 125% of 80?
a)
10
b)
1
c)
100
d)
1000
76.
Write 0.08 as a fraction
a)
8/10
b)
8/100
c)
0/8
d)
8/0
77.
A computer has been discounted by 32%. The original cost was $900. What is the new price?
a)
$1188
b)
$288
c)
$612
d)
$600
78.
Katie earns $6 per hour in her part time job. She gets a pay rise of 5%. What is her new hourly pay?
a)
$6.60
b)
$6.30
c)
$0.30
d)
$6.50
79.
Ms Goulbourne's pink shoes were on sale for €25. There had been reduced by 45%. What was the original cost of the shoes?
a)
€45.45
b)
€13.75
c)
€55.55
d)
€55.56
80.
Click on the equivalent percentage of 1/4.
a)
4%
b)
14%
c)
50%
d)
25%
81.
20% of the students in Mr. Royal's classroom are 12 years old. If there are 15 students in the classroom, how many students are 12 years old?
a)
2
b)
3
c)
4
d)
5
82.
Find 10% of 150
a)
10
b)
15
c)
18
d)
20
83.
48 is 50% of ...
a)
24
b)
48
c)
96
d)
98
84.
Find 2% of 1250
a)
50
b)
75
c)
25
d)
12.5
85.
Reduce 360 by 10%
a)
342
b)
324
c)
328
d)
300
86.
What is 5% of 50
a)
5
b)
2.5
c)
2
d)
3
87.
If a price was £450 and it increase by 30%, what is the new price?
a)
585
b)
135
c)
500
d)
520
88.
What is 52% of 800?
a)
400
b)
401
c)
416
d)
420
89.
The gas tank in Dad's car holds 12 gallons. The gas tank in Mom's truck holds 50% more than that. How much does the truck's tank hold?
a)
50 gallons
b)
6 gallons
c)
18 gallons
d)
21 gallons
90.
The movie theater decreased the size of it's popcorn bags by 20%. If the old bags held 15 cups of popcorn, how much do the new bags hold?
a)
3 cups
b)
12 cups
c)
6.67 cups
d)
15 cups
91.
A comparison of two quantities (amounts)
a)
Ratio
b)
Proportion
c)
Rate
d)
Multiplicative Relationship
92.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
93.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
94.
Which of the following ratios are NOT equivalent to 20:24?
a)
10:12
b)
5:6
c)
15:18
d)
16:20
95.
The ratio of 6th graders to 7th graders at a basketball game is 4:1. If there are eight 7th graders, how many 6th graders are there?
a)
28
b)
16
c)
8
d)
32
96.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
97.
Write the ratio as a fraction in simplest form.
15 girls to 6 boys
15 girls to 6 boys
a)
5 to 2
b)
5/3
c)
3 to 5
d)
5/2
98.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears. What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
99.
At a school fundraiser for every 3 boxes of chocolate sold you earn 15 points. If you were to sell 7 boxes, how many points would you have earned?
a)
35
b)
33
c)
31
d)
30
100.
A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use? Solve by using equivalent fractions.
a)
9
b)
18
c)
21
d)
27
101.
Solve the proportion:
a)
15
b)
5
c)
10
d)
12
102.
Solve the proportion:
a)
3
b)
4
c)
9
d)
6
103.
Solve the proportion:
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
104.
a)
15
b)
30
c)
60
d)
12
105.
a)
48
b)
120
c)
2.5
d)
15
106.
a)
1
b)
3
c)
9
d)
12
107.
a)
1
b)
2
c)
4
d)
8
108.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
109.
One-third pound of pecans cost $2.75. What is the cost per pound for pecans?
a)
8.25 lbs per dollar
b)
1/4 lb per dollar
c)
$8.25 per lb
d)
$2.75 per lb
110.
A school has 1,360 students and 80 teachers.
Which of the following does not show a ratio equivalent to the one given in the scenario?
Which of the following does not show a ratio equivalent to the one given in the scenario?
a)
51 students to 3 teachers
b)
68 students to 4 teachers
c)
2 students to 34 teachers
d)
34 students to 2 teachers
111.
Find the Unit Rate
70 Miles / 2 hours
70 Miles / 2 hours
a)
35 Miles / Hour
b)
140 miles / hour
c)
140 hours / mile
d)
35 hours / mile
112.
Aaron jogged 10 miles in 2 hours. At this rate, how many miles could he jog in 4 hours?
a)
10 miles
b)
5 miles
c)
20 miles
d)
8 miles
113.
Find the Unit Rate
45 Words / 3 Minutes
45 Words / 3 Minutes
a)
15 Words/Minute
b)
15 Minutes/Word
c)
125 Words/Minute
d)
12 Words/Minute
114.
Edgar bought 9 movie tickets for $108. How much was each ticket?
a)
$11 per ticket
b)
$99 per ticket
c)
$0.83 per ticket
d)
$12 per ticket
115.
Find the Unit Rate
$7.98 / 3 Pens
$7.98 / 3 Pens
a)
$3.99 per pen
b)
$2.66 per pen
c)
$0.26 per pen
d)
$4.98 per pen
116.
A pancake recipe calls for 3/4 cup of wheat flour for every 1/4 cup of white flour. How many cups of wheat flour are used per cup of white flour? Either use a double number line or a proportion.
a)
12/4 cups of wheat per cup of white flour
b)
3 cups of wheat per cup of white flour
c)
1/3 cup of wheat per cup of white flour
d)
4/12 cup of wheat per cup of white flour
117.
Ollie ran 3 miles in 1/3 minutes. Determine the unit rate in miles per hour.
a)
1 mile per hour
b)
9 miles per hour
c)
1/3 mile per hour
118.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
119.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
120.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
121.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
122.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
123.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in
d)
14.3 in
124.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
125.
You ADD a2 and c2 then take the square root of that SUM to find b on a right triangle.
a)
true
b)
false
126.
Side a on a right triangle is ALWAYS the longest side.
a)
true
b)
false
127.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
128.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
129.
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
a)
6
b)
6.7
c)
3
d)
15.7
e)
None of them
130.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
131.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
132.
Are the triangles similar?
a)
Yes
b)
No
133.
Determine if the triangles are similar. Justify.
a)
Yes, by SSS.
b)
Yes, by SAS. Scale Factor is 1:2.
c)
Yes, by SAS. Scale Factor is 3:1.
d)
No, not similar.
134.
A gymnasium is 96 feet long and 75 feet wide. On a blueprint, the gymnasium is 5.5 inches long. To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?
a)
4.3
b)
8.6
c)
6.4
135.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
136.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
137.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
138.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
139.
Find missing side
a)
5
b)
7
c)
9
d)
11
140.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
141.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
142.
11. On the map, 5th Ave., 6th Ave., and 7th Ave. are parallel. What is the length of Main St. between 5th Ave. and 6th Ave.?
a)
0.12
b)
0.667
c)
0.8
d)
0.24
143.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
144.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
145.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
146.
If the diameter of a circle is 50 yards, the radius is _____
a)
100 yards
b)
25 yards
c)
150 yards
d)
15 yards
147.
If the radius of a circle is 12.5 meters, the diameter is ____
a)
6.25 meters
b)
125 meters
c)
25 meters
d)
50 meters
148.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
149.
What is the area of this circle?
a)
82.13
b)
78.5
c)
314.16
d)
170.12
150.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)
28 cm
b)
43.96 cm
c)
87.96 cm
d)
7 cm
151.
Find the circumference of a circle with a diameter of 11 millimeters.
a)
34.6 mm
b)
30 mm
c)
25.3 mm
d)
34.54 mm
152.
A dog is tied to a wooden stake in a backyard. His leash is 3 meters long and he runs around in circles pulling the leash as far as it can go. How much area does the dog have to run around in?
a)
113.04 square meters
b)
9.42 square meters
c)
18.84 square meters
d)
28.26 square meters
153.
What is the circumference of a 12-inch pizza?
a)
37.68 inches
b)
18.84 inches
c)
113.04 inches
d)
432.16 inches
154.
A lawn sprinkler sprays water 5 feet in every direction as it rotates. What is the area of the sprinkled lawn?
a)
31.4 square feet
b)
15.7 square feet
c)
19.63 square feet
d)
78.5 square feet
155.
The distance around the wheel of a truck is 9.42 feet. What is the radius of the wheel?
a)
3 feet
b)
1.5 square feet
c)
1.5 feet
d)
29.58 square feet
156.
A dinner plate has a radius of 7 centimeters. What is the area? Use 22/7 for pi.
a)
44 square centimeters
b)
154 square centimeters
c)
153.86 square centimeters
d)
43.96 square centimeters
157.
Tom measured his frisbee from the center to the outside and found it to be 6 inches. What is the approximate circumference of Tom's frisbee?
a)
37.68 inches
b)
3 inches
c)
12 inches
d)
376.8 inches
158.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
a)
2/18
b)
1/9
c)
2/20
d)
1/10
159.
How many total outfit options are represented?
a)
12
b)
22
c)
3
160.
What is the probability of rolling 15 with a pair of dice?
a)
impossible
b)
unlikely
c)
equally likely
d)
likely
161.
You pick a marble from this bag.
What is the probability you will choose either a black or a white marble?
*remember to simplify*
What is the probability you will choose either a black or a white marble?
*remember to simplify*
a)
3/5
b)
4/10
c)
3/10
d)
6/10
162.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
40%
c)
1/3
d)
5
163.
A bag has 3 red marbles, 2 blue and 4 green and 1 yellow. What is the theoretical probability of pulling a red?
a)
30%
b)
3/9
c)
1/4
d)
25%
164.
Which shows the sample space for flipping two coins?
H = heads, T = tails
H = heads, T = tails
a)
H, T
b)
HH, HT, TH, TT
c)
HH, TT
d)
HH, TT, TT, HH
165.
Three coins are tossed. Use the Sample Space provided. What's the probability of flipping only one tails?
a)
3/8
b)
1/4
c)
⅓
d)
⅞
166.
Max is ordering a salad for lunch. He can choose one of chicken, tofu, hard-boiled eggs, or turkey to have on the salad. He can also pick one vegetable topping. The vegetable choices are sprouts, tomatoes, or olives. How many different combinations can Max create?
a)
7 combinations
b)
12 combinations
c)
3 combinations
d)
4 combinations
167.
A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips, salad and beverage can be ordered?
a)
130
b)
17
c)
90
d)
270
168.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
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