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WorksheetsiLearn Review Math 7th grade
Total questions: 122
Worksheet time: 4hrs 35mins
Name
Class
Date
1.
What type of number is π ?
a)
Rational
b)
Irrational
2.
.141414141414...
a)
Rational
b)
Irrational
c)
real
d)
fake
3.
√25
a)
Rational
b)
Irrational
c)
real
d)
fake
4.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
5.
The square root of 53 is between which two consecutive numbers?
a)
10 and 11
b)
5 and 6
c)
7 and 8
d)
1 and 2
6.
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
7.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
8.
Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
a)
Sargento
b)
Velveeta
9.
The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.
a)
52%
b)
41%
c)
42%
d)
45%
10.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter?
a)
35%
b)
25%
c)
30%
d)
20%
11.
Find the percent increase. Round to the nearest percent.
From $5 to $8
From $5 to $8
a)
40%
b)
60%
c)
55%
d)
65%
12.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
13.
Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
14.
Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?
a)
$800
b)
$1,000
c)
$1,200
d)
$1,500
15.
Is the quotient of -25 and -5 positive or negative
a)
positive
b)
negative
16.
When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
17.
When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
a)
Positive
b)
Negative
c)
Depends on which is bigger.
18.
When multiplying or dividing a NEGATIVE and a NEGATIVE your result will be...
a)
POSITIVE
b)
NEGATIVE
c)
DEPENDS ON WHICH NUMBER IS LARGER.
19.
-7(10)=
a)
70
b)
700
c)
-70
d)
-700
20.
64 ÷ (-8)
a)
8
b)
-8
c)
-9
d)
-7
21.
-3(-4)
a)
-12
b)
7
c)
-7
d)
12
22.
-7 + (-4) =
a)
-3
b)
11
c)
-11
d)
-3
23.
Multiply
(5) • (–9) • (–2)
(5) • (–9) • (–2)
a)
90
b)
-45
c)
-90
d)
47
24.
What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8
-12 ÷ 6 (-3) + 8
a)
multiplication
b)
addition
c)
division
d)
subtraction
25.
Solve the following:
-12 ÷ 6 (-3) + 8
-12 ÷ 6 (-3) + 8
a)
-14
b)
2
c)
-22
d)
3
26.
Find and explain the error.
5 - 3 + 2
5 - 5
0
5 - 3 + 2
5 - 5
0
a)
There is no error.
b)
Addition was done first and you should have subtracted first
c)
There is a subtraction error
27.
Solve the following:
3 + 27 ÷ (-3)
3 + 27 ÷ (-3)
a)
-6
b)
-10
c)
10
d)
-12
28.
Commutative Property of Multiplication
a)
8 + 2 = 2 + 8
b)
7 x 1 = 7
c)
7 + 0 = 7
d)
7 x 6 = 6 x 7
29.
Identity Property of Multiplication
a)
5 x 0 = 0
b)
8 x 3 = 3 x 8
c)
12 x 1 = 12
d)
8 + 0 = 8
30.
What number fills in the blank?
5 + ____ = 8 + 5
5 + ____ = 8 + 5
a)
5
b)
7
c)
8
31.
3(w + 4) = 3w + 12 is an example of...
a)
Inverse Property
b)
Distributive Property
c)
Multiplicative Inverse
d)
Associative Property
32.
The elevation of the Dead Sea is about 1,310 feet below sea level. Which integer represents this elevation?
a)
-1,310
b)
-131
c)
131
d)
1,310
33.
The quarterback had a 10-yard loss and then a 25-yard gain. Which integer represents a 25-yard gain?
a)
-25
b)
-10
c)
25
d)
10
34.
What integers are less than 0?
a)
Negative numbers
b)
no numbers are less than 0
c)
all numbers
d)
positive numbers
35.
What kind of numbers are greater than 0?
a)
Positive numbers
b)
Negative numbers
c)
All numbers
d)
No numbers
36.
What is the opposite of -11?
a)
-11
b)
11
c)
0
d)
22
37.
What is the opposite of 4?
a)
4
b)
0
c)
-4
d)
-0
38.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
39.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
40.
4(k + 7)
a)
4k + 28
b)
4k - 28
c)
-4k + 28
d)
4k - 28
41.
Solve 2x - 3 = 1
a)
3
b)
2
c)
1
d)
-2
42.
Solve -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
43.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5
44.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
45.
The keywords "at most" are used with which of the following symbols?
a)
≤
b)
>
c)
<
d)
≥
46.
The keywords "at least" are used with which of the following symbols?
a)
≥
b)
≤
c)
>
d)
<
47.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
48.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
49.
a)
m = 1/2
b)
m = 1/3
c)
m = 2
d)
m = (0, 1)
50.
Does this graph represent a proportional relationship?
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
51.
REVIEW QUESTION
Which best describes the graph represented in this table?
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
52.
Does this graph represent a proportional relationship?
a)
Yes, because the line is pretty.
b)
No, because the line goes through the origin.
c)
Yes because the line goes through the origin.
d)
No, because the graph is non-proportional.
53.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
54.
y=kx. What does the k represent?
a)
constant of proportionality
b)
multiplier
c)
scale factor
d)
all of these are correct
55.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
56.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
57.
Find the measure of the indicated angle.
a)
26
b)
36
c)
85
d)
144
58.
Find the missing angle.
a)
29°
b)
39°
c)
49°
d)
59°
59.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
60.
Name the 3-D shape
a)
Cube
b)
Rectangular Prism
c)
Rectangular Pyramid
d)
Triangular Prism
e)
Triangular Pyramid
61.
How do you find the Surface Area of a rectangular prism?
a)
find the area of all 6 shapes and add them together
b)
find the area of all 4 shapes and add them together
c)
find the area of the bases only
d)
multiply all of the dimensions together
62.
Find the surface area of the rectangular prism.
a)
77 cm2
b)
17 cm2
c)
7 cm2
d)
70 cm2
63.
what is the area of a cylinder if the radius is 5 inches and height is 10 inches ?
a)
50 inches squared
b)
471inches squared
c)
200 inches squared
d)
100 inches squared
64.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
65.
What is the diameter of this circle?
a)
3.5
b)
3
c)
5
d)
7
66.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
67.
Find the circumference of the circle
a)
87.82
b)
153.86
c)
43.96
d)
307.72
68.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
69.
What is sample space?
a)
All of the Outcomes
b)
What Will Happen
c)
What Can Happen
d)
What I want to Happen
70.
The chart below represents the number of marbles in a jar.
P(green) =
P(green) =
a)
5/19
b)
10/28
c)
5/14
d)
17/38
71.
Zara wants to know how teachers in the local school district feel about extending the school day to 30 minutes longer. Which method will produce a representative sample and therefore provide valid inference?
a)
Survey all the teachers who have publicly protested or supported the proposal.
b)
Survey the first 30 teachers who arrive at Zara's school in the morning.
c)
Survey a random sample of 30 teachers within the school district.
d)
Survey a random sample of 30 teachers and parents of kids within the district.
72.
Edwardo is conducting a survey at his middle school to find out which sport students most enjoy playing. Which method will produce a random sample that gives the most objective idea of students' overall favorite sport?
a)
Survey every 3rd student leaving football practice.
b)
Survey 30 students at the basketball game Wednesday night.
c)
Survey every 4th student in band.
d)
Survey every 4th student entering the school building Tuesday morning.
73.
What is the mode?
a)
Number that occurs the most
b)
The Average
c)
The difference between the highest and lowest values
d)
The Number in the middle
74.
What is the mean?
a)
The number that occurs the most
b)
The number in the middle
c)
The difference between the highest and lowest values
d)
The Average
75.
What is the median?
a)
The number in the middle
b)
The difference between the highest and lowest values
c)
The number that occurs the most
d)
The average
76.
When finding the median what is the FIRST step?
a)
Mark off the lowest number
b)
Mark off the highest number
c)
Find the Middle
d)
Arrange the number from Least to Greatest
77.
At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
78.
Find the mean of these numbers:
2, 57, 38, 42, 6
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
79.
Find the Median of the data set
a)
77
b)
99
c)
80
d)
78.5
80.
What is the minimum value?
a)
64
b)
58
c)
66
d)
61
81.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
82.
What value is the lower quartile (Q1)?
a)
66
b)
58
c)
60
d)
64
83.
What data value is the upper quartile (Q3)?
a)
64
b)
62
c)
66
d)
58
84.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
85.
The probability of it raining today is 30%. What is the probability that it will NOT rain?
a)
30%
b)
70%
c)
100%
d)
0%
86.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
87.
What is the probability of rolling a cube and having it land as a six?
a)
1/6
b)
5/6
c)
1/3
d)
1/2
88.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5
89.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
90.
Change this decimal to a percent.
0.528
0.528
a)
528%
b)
52.8%
c)
5.28%
d)
52%
91.
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
92.
You flip a nickel three times.
Find the probability that all flips will land on tails.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
93.
The spinner is divided into eight equal parts. Find the theoretical probability of landing on the given section of the spinner.P(white)=
a)
1/8
b)
5/8
c)
7/8
d)
3/7
94.
What is the total number of students speaking different languages?
a)
20
b)
25
c)
50
d)
100
95.
What is the relative frequency of students speaking Arabic?
a)
32%
b)
24%
c)
10%
d)
2%
96.
GCF of 27 and 70
a)
3
b)
5
c)
7
d)
10
97.
GCF of 20 and 35
a)
4
b)
5
c)
7
d)
20
98.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
99.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
100.
Is 5 prime or composite?
a)
Prime
b)
Composite
101.
A prime number
a)
has one factor
b)
has more than 2 factors
c)
has 100 factors
d)
has exactly 2 factors: 1 and the number
102.
Use a number tree to find the prime factorization of 34
a)
2x2x2x4
b)
2x2x2x2x2
c)
4x4x2
d)
2x2x2x2x1
103.
Use a number tree to find the prime factorization of 33
a)
33
b)
11x3
c)
10x3
d)
3x3x3x2
104.
52
a)
16
b)
25
c)
20
d)
10
105.
112
a)
132
b)
144
c)
121
d)
22
106.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
107.
√100
a)
15
b)
10
c)
11
d)
12
108.
√64
a)
3
b)
8
c)
7
d)
6
109.
Which of the following is a perfect square?
a)
39
b)
50
c)
6
d)
81
110.
Which would be the next number in the pattern?
36, 49, 64, 81 __
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
111.
What is 2/3 x 2/3
a)
4/9
b)
2/3
c)
4/3
d)
4/6
112.
1/2 x 3/4 (simplify if needed)
a)
3/8
b)
3/4
c)
4/6
d)
3/2
113.
Find the product.
a)
9/24
b)
9/28
c)
6/32
d)
1/28
114.
2/5 divided by 3/4
a)
8/15
b)
6/20
c)
3/10
d)
3/20
115.
5 ÷ ⅕
a)
⅕
b)
1/25
c)
5
d)
25
116.
1/4 ÷ 2/5
a)
5/8
b)
2/20
c)
1/10
d)
3/9
117.
solve 6.95 + 5.3
a)
12.25
b)
1.65
c)
7.48
d)
6.42
118.
solve 5.65 - 2.019
a)
3.46
b)
3.631
c)
7.669
d)
.454
119.
solve ans simplify 3/14 - 8/14
a)
5/14
b)
-5/14
c)
-11/14
d)
11/14
120.
9.35 x 0.76
a)
71,060
b)
10.11
c)
8.59
d)
7.106
121.
solve round to the nearest hundredth 20.1 ÷ 0.62
a)
32.419
b)
32.42
c)
32.4193
d)
32.4
122.
solve round to the nearest thousandth 40.3714-42.39 ÷ 1.05
a)
40.3714
b)
-40.3714
c)
-40.371
d)
40.371
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