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Worksheets7th Grade Ch 6 Review
Total questions: 133
Worksheet time: 4hrs 11mins
Name
Class
Date
1.
To make 2 batches of brownies, Ed needs 4 eggs. How many eggs are needed per batch of brownies?
a)
1 egg
b)
2 eggs
c)
4 eggs
d)
8 eggs
2.
Jenny drives 265 miles in 5 hours. What is her average rate of speed in miles per hour?
a)
58 mph
b)
62 mph
c)
66 mph
d)
53 mph
3.
A job pays $56 for 8 hours of work. How much money does the job pay per hour?
a)
$7 per hour
b)
$8 per hour
c)
$6 per hour
d)
$7.50 per hour
4.
Nate scores 84 points in 6 games. How many points per game does Nate score?
a)
12.5 points
b)
16 points
c)
14 points
d)
84 points
5.
A 16 ounce bottle of fruit punch costs $2.40. A 24 ounce bottle of fruit punch costs $3.84. Which size costs less per ounce?
a)
16 ounce bottle
b)
24 ounce bottle
6.
Determine if the ratios are proportional.
1/4 and 3/12
1/4 and 3/12
a)
Yes
b)
No
7.
Determine if the ratios are proportional.
4/5 and 15/20
4/5 and 15/20
a)
Yes
b)
No
8.
Determine if the ratios are proportional.
2/4 and 9/20
2/4 and 9/20
a)
Yes
b)
No
9.
Determine if the ratios are proportional.
3/4 and 18/24
3/4 and 18/24
a)
Yes
b)
No
10.
Determine if the ratios are proportional.
2/5 and 6/15
2/5 and 6/15
a)
Yes
b)
No
11.
Find an equivalent ratio to 1/2.
a)
15/20
b)
4/6
c)
12/25
d)
35/70
12.
Find an equivalent ratio to 10/25.
a)
20/50
b)
1/2
c)
5/10
d)
3/4
13.
Find an equivalent ratio to 1/7.
a)
1/3
b)
4/28
c)
2/15
d)
35/70
14.
Find an equivalent ratio to 2/8.
a)
1/4
b)
4/8
c)
6/22
d)
8/30
15.
Solve.
2/5 = x/10
2/5 = x/10
a)
x = 4
b)
x = 2.5
c)
x = 5
d)
x = 20
16.
Solve.
1/3 = z/15
1/3 = z/15
a)
z = 13
b)
z = 7.5
c)
z = 5
d)
z = 3
17.
Solve.
2/7 = 6/d
2/7 = 6/d
a)
d = 11
b)
d = 14
c)
d = 21
d)
d = 9
18.
Solve.
k/5 = 9/15
k/5 = 9/15
a)
k = 3
b)
k = 1
c)
k = 4
d)
k = 6
19.
Solve.
4/r = 1/4
4/r = 1/4
a)
r = 7
b)
r = 12
c)
r = 16
d)
r = 5
20.
Four gallons of gasoline cost $16.80. What is the price per gallon?
a)
$ 8.40
b)
$ 6.30
c)
$ 4.20
d)
$ 4.00
21.
Amy drove 204 miles to her mother’s house, If it took her 3 hours, what was her average speed?
a)
68 mph
b)
999999999999 mph
c)
17 mph
d)
2 mph
22.
A T-shirt launcher can launch 5 shirts in 20 minutes. What is the rate in shirts per hour?
a)
4
b)
100
c)
.40
d)
55
23.
Five lemons cost $1.80.What is the cost per lemon?
a)
.78
b)
.34
c)
.56
d)
.36
24.
David hikes 2 ¼ miles in ½ an hour.What is his rate in miles per hour?
a)
.45
b)
7/6
c)
67
d)
6.8
25.
You buy 10 can of green beans for 3.40 at The Grocery store. Next week you come back and get 6 can of green beans how much. Will it cost?
a)
.34
b)
.60
c)
1.43
d)
2.04
26.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
27.
Simplify the complex fraction.
a)
18
b)
1/18
c)
9/72
d)
1/8
28.
Simplify the complex fraction. Remember: This is just another way of writing division. Use keep, change, flip and divide the two fractions.
a)
32/135
b)
7/61
c)
427
d)
1/427
29.
110 miles/hour = _______ miles/day
a)
4.58 miles/day
b)
6600 miles/day
c)
2640 miles/day
30.
345 ft/min = ________ ft/hour
a)
20,700 feet/hour
b)
5.75 feet/hour
31.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
32.
Solve the proportion.
a)
1
b)
3
c)
6
d)
5
33.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
34.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
35.
Solve for x: x/4 = 6/8
a)
4
b)
2
c)
3
d)
10
36.
Solve for x: 6/12 = x / 6
a)
36
b)
2
c)
12
d)
3
37.
Solve the Proportion:
11/10 = 22/X
11/10 = 22/X
a)
20
b)
220
c)
242
d)
2
38.
Solve the Proportion:
X/9 = 9/27
X/9 = 9/27
a)
9
b)
3
c)
81
d)
245
39.
Solve.
k/5 = 9/15
k/5 = 9/15
a)
k = 3
b)
k = 1
c)
k = 4
d)
k = 6
40.
A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him?
a)
24 Weeks
b)
24-ounce bottle
c)
10.6 Weeks
d)
10.6-ounce bottle
41.
About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many computers would you expect to have?
a)
39 Computers
b)
4.3 Homes
c)
39 Homes
d)
4.3 Computers
42.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
43.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
44.
Solve for x
a)
x = 15
b)
x = 11
c)
x = 1/11
d)
x = 20
45.
Solve for x
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
46.
Solve for x
a)
x = 6
b)
x = 25
c)
x = 28
d)
x = 17
47.
Solve for x
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
48.
Simplify the complex fraction.
a)
32/135
b)
7/61
c)
427
d)
1/427
49.
Simplify the complex fraction.
a)
18
b)
1/18
c)
9/72
d)
1/8
50.
Simplify the complex fraction.
a)
32/135
b)
7/61
c)
427
d)
1/427
51.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
52.
A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?
a)
16 customers per hour
b)
15 customers per hour
c)
12 customers per hour
d)
20 customers per hour
53.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
54.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
55.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
56.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
57.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
58.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
59.
Sides in similar figures must be proportional.
a)
True
b)
False
60.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
61.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
62.
Find missing side
a)
5
b)
7
c)
9
d)
11
63.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
64.
A statement that two ratios are equal is called a _______________
a)
product
b)
quotient
c)
ratio
d)
proportion
65.
A comparison of two numbers by division is called ___________
a)
proportion
b)
ratio
c)
total
d)
quotient
66.
Are the following similar? Why or why not?
a)
Yes, their angles are equal and the sides are proportional
b)
No, the ratios of the corresponding sides are not equal.
67.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
68.
Compares two quantities that have different units of measure.
a)
Percent
b)
Dimensional Analysis
c)
Ratio
d)
Rate
69.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 4
c)
x = 13
d)
x = 36
70.
The pair of figures is similar. Find the missing side.
a)
x = 22
b)
x = 2
c)
x = 16
d)
x = 8
71.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
72.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
73.
The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?
a)
12 feet
b)
16 feet
c)
10 feet
d)
4 feet
74.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
75.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
76.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
77.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
78.
Find the perimeter of the large triangle.
a)
24
b)
36
c)
12
d)
54
79.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
80.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
81.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
82.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
83.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
84.
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
85.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
86.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
87.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
88.
solve for c
a)
7
b)
9
c)
4
d)
13
89.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
90.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
91.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
92.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
93.
What is the name for side c?
a)
head
b)
body
c)
hippopotamus
d)
hypotenuse
94.
you ADD a2 and c2 then take the square root to find b on a right triangle.
a)
true
b)
false
95.
you ADD a2 and b2 then take the square root to find c on a right triangle.
a)
true
b)
false
96.
Challenge! Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.
a)
5
b)
7
c)
10
d)
12
97.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
98.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
99.
42 = ?
a)
9
b)
14
c)
16
d)
18
100.
92 = ?
a)
81
b)
90
c)
99
d)
72
101.
?
a)
2
b)
3
c)
9
d)
81
102.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
103.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
104.
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
105.
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?
a)
26.5 yards
b)
10 yards
c)
50 yards
d)
46.7 yards
106.
what is the missing length?
a)
50
b)
60
c)
70
d)
80
107.
Is this triangle a right triangle? (Picture not drawn to scale)
a)
yes
b)
no
108.
Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30. How wide is the t.v.?
a)
302 + 402 = c2
b)
a2 + 402 = 302
c)
302 + b2 = 402
d)
402 + 302 = c2
109.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
110.
a= 12, b= 35, c= ? Find c
a)
122-352=c2
b)
122+352=c2
c)
352-122=c2
d)
122+c2=352
111.
c= 97, b= 72, a=?
a)
722 - 972 = a2
b)
722 + 972 = a2
c)
a2 + 722 = 972
d)
a2 + 972 = 722
112.
√16
a)
4
b)
8
c)
2
d)
9
113.
√100
a)
15
b)
10
c)
11
d)
12
114.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
115.
Simplify the following radical: √900
a)
150
b)
90
c)
300
d)
30
116.
√64
a)
3
b)
8
c)
7
d)
6
117.
√81
a)
9
b)
10
c)
8
d)
6
118.
√36
a)
4
b)
3
c)
6
d)
5
119.
a)
2
b)
4
c)
16
d)
3
120.
a)
5
b)
100
c)
4
d)
2.5
121.
a)
0
b)
1
c)
-1
d)
0.00001
122.
√121
a)
9
b)
10
c)
11
d)
12
123.
√169
a)
15
b)
13
c)
14
d)
16
124.
√144
a)
12
b)
14
c)
11
d)
16
125.
√400
a)
20
b)
19
c)
14
d)
18
126.
Which number is not a perfect square?
a)
160
b)
144
c)
49
d)
9
127.
√1
a)
1
b)
2
c)
3
d)
4
128.
32
a)
6
b)
12
c)
9
d)
10
129.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
130.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
131.
52
a)
16
b)
25
c)
20
d)
10
132.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
133.
112 =
a)
22
b)
44
c)
144
d)
121
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