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WorksheetsMiddle School Math 6-8th Grade
Total questions: 189
Worksheet time: 2hrs 41mins
What is a rational number?
What is a example of a rational number?
1.25
1 1/4
6
6/1
-20/2
What is a integer?
What is a whole number?
What is a natural number?
What is a irrational number?
Any number that cannot be written as a simple fraction because the decimal goes on forever without repeating.
What is an example of a irrational number?
Square root of 5
3.1415926535…
What is a number line?
a line that orders and compares rational numbers
Bea says that the number -21/7 is greater than 0 and can be classified as irrational and real. Ted says it’s less than 0 and can be classified as an integer, rational, and real. Who is correct and why?
Bea
Ted
A repeating decimal is irrational.
4 1/2 is an integer and a rational number.
-3.56 is a rational number but not a integer.
-2 is greater than 0 and to the left of 0.
False
True
Three is greater than zero and to the right of zero.
False
True
-1 is greater than -3.
False
True
Kelly says that the number -5.5 is classified as a rational and real. Ray says it’s also an integer, and he classified it as an integer, rational, and real. Who is correct?
Nate says that the number 2 1/3 can be classified as irrational and real. Hailey says it can be classified as rational and real. Who is correct?
Gia says that -1.666… is a rational number but not an integer. Kyle says all rational numbers are integers. Who is correct?
What is the opposites of opposites property?
The opposite of the opposite of a number is the number itself.
Write the integer that represents each quantity.
The temp. was 12 degrees warmer in the afternoon.
24
12
Write the integer that represents each quantity.
Darren loses $500 of his earnings in the stock market.
Write the integer that represents each quantity.
The player advances 25 ft.
Write the integer that represents each quantity.
Tara withdraws $950 from her checking account.
Write the integer that represents each quantity.
The submarine is 365 ft. below sea level.
Write the integer that represents each quantity.
The scientist monitoring a weather balloon reports the balloon climbed 12,000 ft. above the ground.
What is the opposite of 100 ft. above sea level?
What is the opposite of the opposite of -35 degrees?
What is the opposite of gaining 6% of the stock revenue?
What is the opposite of the opposite of 75 ft.?
A lab assistant is putting together experiment kits for science classes. There are 48 eyedroppers and 32 beakers. The assistant’s goal is to divide the supplies so that each kit has the same number of eyedroppers and beakers with nothing left over. What is the greatest number of kits the lab assistant can make? How many eyedroppers and how many beakers will be in each experiment kit?
What are the factors of 64?
2, 3, 5, 7, 11, 13, 64
5, 10, 15, 20, 25, 30, 64
1, 3, 6, 9, 12, 15, 64
What are the factors of 49?
What are the factors of 55?
Which numbers are not prime numbers?
11,17,21,31,36,47,54
Is 528 divisible by 2?
Is 105 divisible by 3?
Is 693 divisible by 9?
Is 260 divisible by 5 and 10?
Find the greatest common factor of 45 and 75.
Find the greatest common factor of 56 and 96.
Find the greatest common factor of 39 and 104.
List the first 5 multiples of 7.
List the first 5 multiples of 15.
Find the LCM of 3 and 11.
Find the LCM of 12 and 18
Find the LCM of 4 and 13
Find the LCM of 2,5, and 12.
Brad teaches piano lessons every fifth day and guitar lessons every fourth day. If he had both piano and guitar lessons on June 1, what will be the next date the Brad has both piano and guitar lessons?
Martin can save $12 every week. Patricia can save $18 every week. Who will save $36 first? After how long?
Explain the difference between determining the GCF and the LCM. Use the integers 6 and 8 to illustrate your answer.
1/4+1/6=?
1/3+5/7=?
1 1/21
5/16+13/16=?
1 1/8
5/12+7/10=?
1 7/60
11/12-5/12=?
14/15-2/3=?
4/15
7/9-5/6=?
13/12-13/16=?
13/48
5/6 divided by 3/4=?
5/6 ÷ 3/4 = 5/6 * 4/3 = 20/18 = 10/9
15/28*14/9=?
7/10*5/42=?
1 1/7 divided by 1 13/22=?
1/12
2 1/3*6/8=?
8 2/3 divided by 4/3=?
6 1/2*4 4/7=?
29 5/7
4 bakers share 1 1/2 cups of flour. How much flour does each baker get?
How many 1/3 ounce spoonfuls of salt are in a filled 4 3/4 ounce salt shaker?
14 1/4
A recipe calls for 5/8 of a cup of milk, but Jason wants to double the recipe. How much milk does he need?
A sprinkler system uses 5 9/12 gallons of water every hour. How many gallons of water will the system use in 3 3/5 hours?
20 7/10 gallons
Tasha can run 7 7/10 miles in 2 hours. How many miles can she run in 1 1/4 hours, assuming her running pace stays the same?
6 4/25 miles
6.29+3.48=?
$43.26+$98.06=?
15+0.074=?
6,789.02+456.235+1,406.91=?
8,652.165
8,625.165
8,652.156
-8652.165
71.23-0.98=?
1,975.23-88.52=?
300-65.11=?
8.7*6.2=?
53.526*7.41=?
396.62766
(9.96)(3.74)=?
37.2504
0.35*0.88=?
0.789
0.3080
750*0.0003=?
0.2250
(3.44)(9.6102)=?
33.059088
6.24 divided by 2.4=?
2.6
52.17 divided by 14.1=?
254.01 divided by 0.2=?
3,250 divided by 0.0005=?
7.5 divided by 0.24=?
2.6 divided by 0.4=?
1.066 divided by 0.02=?
6-(-2)=?
-15-(-4)=?
-7-10=?
-9-(-25)=?
-141-107=?
15-132=?
-10-(2)+(-16)=?
-7(-7)=?
-40*22=?
300*-10=?
96 divided by -12=?
-110 divided by -110=?
-48 divided by 6
108 divided by -9=?
Compare 4 and -4.
Compare -1.8 and -1.75.
Compare 3/5 and 2/3.
Compare -1 1/2 and -1 3/7.
Write the comparison as a fraction to describe the situation. Simplify the fraction is possible.
Nio’s store sells 6 black ink pens for every 8 blue ink pens.
Write the comparison as a fraction to describe the situation. Simplify the fraction is possible.
Ms. Ron’s class had 15 out of 27 students participate in the school talent show.
Write the comparison as a fraction to describe the situation. Simplify the fraction is possible.
A baker uses 21 ounces of milk for every 14 cups of cake mix.
3/2
2/3
5/3
7/14
Write the comparison as a fraction to describe the situation. Simplify the fraction is possible.
Every 5 days, Nidia earns a total of $55 for tutoring math.
Write the comparison as a fraction to describe the situation. Simplify the fraction is possible.
27 mountain bicycles to 39 hybrid bicycles.
Write the comparison as a fraction to describe the situation. Simplify the fraction is possible.
68 bottles of water for every 34 participants.
Write each comparison as a ratio in the format a:b to describe the situation.
A survey of Belville residents shows 110 people want a new park and 175 do not.
Write each comparison as a ratio in the format a:b to describe the situation.
Rick uses 52 cups of water for every 8 bags of cement mix.
Write each comparison as a ratio in the format a:b to describe the situation.
For every 50 bags of apples sold at Pete’s Produce, 20 bags are organic.
50:20
Write each comparison as a ratio in the format a:b to describe the situation.
Fran can download 15 audiobooks for $150.
15:150
Write each comparison as a ratio in the format a:b to describe the situation.
A city planner creates a map with a scale of 2 centimeters for every 30 miles.
Find the unit rate or unit price.
An airline’s policy states that for every 30 passengers there needs to be 2 flight attendants on board.
Find the unit rate or unit price.
The winner of the fundraiser baked and sold 450 muffins every 15 days.
Find the unit rate or unit price.
A manufacturing plant can produce 72 bags of trail mix every 18 seconds.
Find the unit rate or unit price.
A popular online clothing store sells 144 T-shirts every 12 minutes.
Find the unit rate or unit price.
A commercial kitchen uses 3/4 of a cup of milk, every 4/6 of a minute.
1 1/8 cups per minute
Find the unit rate or unit price.
An athlete swims 4 1/2 miles every three days.
Find the unit rate or unit price.
The typical household in New Town uses 792 therms of gas every 12 months.
Find the unit rate or unit price.
The Riley family spent $902.60 for four weeks of groceries
Find the unit rate or unit price.
Gerald’s store purchased 36 bottles of organic oil for $288.
Find the unit rate or unit price.
A museum had 1,988 visitors to its new exhibit in the first seven days.
Do the ratios 10/6 and 5/3 form a proportion?
Do the ratios 8/9 and 7/8 form a proportion?
Which 2 ratios form a proportion?
3/5, 7/12, 9/15
Which 2 ratios form a proportion?
20/32, 5/8, 4/14
Solve for the unknown.
4/x=16/36
Solve for the unknown.
7/11=y/22
Solve for the unknown.
n/3.10=2.5/5
n = 1.55
At Neil’s grocery store, you can buy three oranges for $1.25 Calvin has $8.75. How many oranges can he purchase?
2.5 t = ? lbs
1 t= 2,000 lbs
? g= 48 c
16 c= 1 g
3
9,000 cm= ? m
100 cm= 1 m
4.75 lbs = ? oz
1 lbs = 16 oz
75.5 ft = ? in
1 ft = 12 in
38 km = ? mi
1 mi = (approximately) 1.61 km
? lbs = 5 kg
1 kg = 2.205 lbs
11 lbs
Write the percent as a fraction. Simplify the fraction if possible.
32%
Write the percent as a fraction. Simplify the fraction if possible.
9.2%
2.3/25
Write the percent as a fraction. Simplify the fraction if possible.
48%
Write the percent as a decimal.
84%
Write the percent as a decimal.
110.5%
Write the percent as a decimal.
0.016%
Write the fraction as a percent.
42/60
Write the fraction as a percent.
230/100
What is 19% of 300?
What is 32% of 50?
What is 15% of 66?
147 is what percent of 210?
48 is what percent of 96?
Seven is what percent of 35?
1.80 is what percent of $2.40?
The cost of a skateboard is $125.36. The state sales tax is 8.5%. what is the total cost of skateboard with tax?
The total cost of the skateboard with tax is $136.02
The cost of a textbook is $55.10. The state sales tax is 5%. What is the total cost of the textbook with tax? Round your answer to the nearest cent.
The cost of a pizza party was $230.41. There was a state sales tax of 9.2%. What was the amount of tax paid. Round your answer to the nearest cent.
21.20
The Chen family has a monthly electric bill of $85 on a budget plan. The electricity usage tax is 2.25% in their state. What is the monthly amount of usage tax on the electric bill? Round your answer to the nearest cent.
Aditi spent $35.74 on Music downloads. There was a 6.8% state sales tax included. What was the cost of the Music downloads without the state sales tax? Round your answer to the nearest cent.
$35.74
List the terms of the expression.
6w divided by 55
List the terms of the expression.
-75+98d
List the terms of the expression.
8h+1/16-18
Write the expression.
The product of 2/3 and h added to 26
Write the expression.
The quotient of W and .66
Write the expression.
The product of 11 and C subtracted from the addition of r and five.
Write an algebraic expression that illustrates each situation. Use X to represent the unknown quantity.
Jonathan is five years older than his sister.
Write an algebraic expression that illustrates each situation. Use X to represent the unknown quantity.
Double the number of students from last year will participate in this year‘s annual talent show.
Write an algebraic expression that illustrates each situation. Use X to represent the unknown quantity.
Half of the people who live in our community like to shop at the new big box store.
1/2X
Write an algebraic expression that illustrates each situation. Use X to represent the unknown quantity.
The store manager increased the stock of milk containers by 250 containers.
Write an algebraic expression that illustrates each situation. Use X to represent the unknown quantity.
On field day, Danielle divided 30 juice boxes among all the children.
Write an algebraic expression that illustrates each situation. Use X to represent the unknown quantity.
The online electronic store sells 73 of its personal computers in stock.
X - 73 + 10
X - 0
X - 50
X - 73
X - 100
Insert parentheses to make each number sentence a true statement.
6+26-2 divided by 8=9
Insert parentheses to make each number sentence a true statement.
36 divided by two squared*3+10*0.5=32
Write in scientific notation.
320,000,000
Write in scientific notation.
80,610,000
Write in scientific notation.
0.000000129
Solve for the variable.
8r+16=96
Solve for the variable.
-3x-25=-100
Solve for the variable.
11y+3-6y+28=96
y = 13
Solve for the variable.
17n+8=104+5n
Solve for the variable.
d/4+17=-3
Solve for the variable.
74-2m=-5(m-4)
m=-18
Solve for the variable.
2r-7+r=1+4r
r = -8
Solve for the variable.
(b+7)(-12)=48
b = -11
