CMCA PRACTICE COMPREHENSIVE
STUDY GUIDE 2026 FULL QUESTIONS
AND SOLUTIONS GRADED A+
◍ 3/8.
Answer: .375 ,37.5%
◍ 1/3.
Answer: .333 ,33.3%
◍ 2/3.
Answer: .666, 66.6%
◍ Write 15% as a fraction..
Answer: Correct answer: 3/20Explanation:A fraction is always out of 100,
so take the percentage and divide it by 100,,,,,15% = 15/100 reduces to 3/ 20
= 0.15
◍ Write 33 1/3% as a decimal..
Answer: Answer: 0.3333 Explanation:33 is our whole number, so we won't
be doing anything with it, however the fraction 1/3 needs to become a
decimal. We can find the decimal by dividing 3 into 1 which goes 0.33
times. So our percentage is 33.33% which when divided by 100, or when we
move the decimal place to the left two places we have....0.3333
◍ 12 is what percent of 40?.
Answer: Correct answer: 30%Explanation:12 = x40divde both sides by 40
and you get..12/40 which reduces to 3/10, turn this into a decimal..=0.3 and
multiply this by 100 to get30%
◍ 50 is what percent of 300?.
Answer: Correct answer: 17%Explanation:Again, here is our operating
, words, 50 is, or equals, what or x, percent of 300. so we have50 = x (300),,,
now divide both sides by 300 and reduce the fraction50/300 and then
multiply by 100 for a percent.1/6 (100) = 16%
◍ Write 5/8 as a percent.
Answer: Answer: 62.5%Explanation: First turn this into a decimal by
dividing 8 into 5.= 0.2, then multiply this by 100 = 20
◍ Write 9/11 as a percent..
Answer: Answer: 82%Explanation: Divide 11 into 9 to get 0.818 and
multiply this by 100 to get about 81% or 81.8%
◍ Write 65 5/8 as a decimal..
Answer: Answer: 65.625Explanation: A decimal is always a number smaller
than one, so we can leave 65 as it is and just turn the fraction into a
decimal., so our decimal becomes 65.625
◍ Write 2 1/5 as a percent..
Answer: Correct answer: 220%Explanation: 2 and 1/5 in decimal form is
2.8, multiply this times 100 and we get 280%
◍ 85% of all the students have B's. What is the percentage that do not have
B's, if the total number of students is 160..
Answer: Correct answer: 15%Explanation: This is a trick question. All you
have to know is that everything is out of 100%, so if 85% is given, the
balance is simply 15%
◍ Your stock current costs is $34.56 dollars per share. At the closing of the
Dow, your stock went up 1/8%. How much is your stock worth now?.
Answer: Correct answer: $34.60 Explanation: 1/8% is equal to 0.125/100 =
0.00125, now if we mulitply this times the stock value, we get 0.00432 and
then we add this to our stock amount =0.0423 + 34.56 = 34.60.
◍ If 15% of all Americans are millionaires, how many Americans are not
millionaires, if there are 245,000,000 Americans?.
Answer: Correct answer: 208,250,000Explanation:Remember 15% is the
balance of 85%, which are the percentage of Americans that are not
, millionares. So just take 0.85 times the population.280,250,000
◍ According to the diet clinic Angie was diagnosed as being 15 pounds
overweight for her body size. If Angie weighs 150 pounds, what percentage
her weight needs to be lost?.
Answer: Correct answer: 10%Explanation:The question here is,,,,,, 15
pounds is what % of 150 or....15 = x 150,, so we divide both sides of the
equation by 150 to get 30 percent. Did you remember to mulitply by 100 to
get your perecent?
◍ John walked ¾ the distance of Bob. If Bob walked 3 ¼ miles, how far did
John walk?.
Answer: Correct answer: 2 and 7/16 of a mileExplanation:1. 2 and 7/16 of a
mile2. 3 miles3. 2.5 milesSolution;Take ¾ of 3 ¼. The word "of" means to
multiply.¾(3 ¼)¾ (13/4)Numerator multiples numerator and denominator
multiples denominator. 39/16This is an improper fraction which needs to be
made into a mixed numeral.John walked 2 and 7/16 of a mile
◍ Place in order of greatest to least.3/4, 7/8, 9/11.
Answer: Correct answer: 7/8, 9/11, 3/4Explanation:First try to reduce any to
lowest terms. Then find a common denominator for all and convert each
fraction to an equivaltent fraction. The common denominator is 352.
264/352, 308/352, 288/352 these would then be ordered from greatest to
least.7/8>9/11>3/4
◍ 70%.
Answer: Answer: 0.70Explanation: Percentages always indicate a part out of
100. Therefore 70% is the same thing as saying 70/100 = 0.70
◍ 0.055%.
Answer: Correct answer: 0.00055Explanation:This is out of 100, so we can
either perform long division of 0.055/100 or use the factor of
1055x10-3(10-2)55x10-50.0005510-2=1/100
◍ 0.120.
Answer: Correct answer: 12%Explanation:To convert any number to a
STUDY GUIDE 2026 FULL QUESTIONS
AND SOLUTIONS GRADED A+
◍ 3/8.
Answer: .375 ,37.5%
◍ 1/3.
Answer: .333 ,33.3%
◍ 2/3.
Answer: .666, 66.6%
◍ Write 15% as a fraction..
Answer: Correct answer: 3/20Explanation:A fraction is always out of 100,
so take the percentage and divide it by 100,,,,,15% = 15/100 reduces to 3/ 20
= 0.15
◍ Write 33 1/3% as a decimal..
Answer: Answer: 0.3333 Explanation:33 is our whole number, so we won't
be doing anything with it, however the fraction 1/3 needs to become a
decimal. We can find the decimal by dividing 3 into 1 which goes 0.33
times. So our percentage is 33.33% which when divided by 100, or when we
move the decimal place to the left two places we have....0.3333
◍ 12 is what percent of 40?.
Answer: Correct answer: 30%Explanation:12 = x40divde both sides by 40
and you get..12/40 which reduces to 3/10, turn this into a decimal..=0.3 and
multiply this by 100 to get30%
◍ 50 is what percent of 300?.
Answer: Correct answer: 17%Explanation:Again, here is our operating
, words, 50 is, or equals, what or x, percent of 300. so we have50 = x (300),,,
now divide both sides by 300 and reduce the fraction50/300 and then
multiply by 100 for a percent.1/6 (100) = 16%
◍ Write 5/8 as a percent.
Answer: Answer: 62.5%Explanation: First turn this into a decimal by
dividing 8 into 5.= 0.2, then multiply this by 100 = 20
◍ Write 9/11 as a percent..
Answer: Answer: 82%Explanation: Divide 11 into 9 to get 0.818 and
multiply this by 100 to get about 81% or 81.8%
◍ Write 65 5/8 as a decimal..
Answer: Answer: 65.625Explanation: A decimal is always a number smaller
than one, so we can leave 65 as it is and just turn the fraction into a
decimal., so our decimal becomes 65.625
◍ Write 2 1/5 as a percent..
Answer: Correct answer: 220%Explanation: 2 and 1/5 in decimal form is
2.8, multiply this times 100 and we get 280%
◍ 85% of all the students have B's. What is the percentage that do not have
B's, if the total number of students is 160..
Answer: Correct answer: 15%Explanation: This is a trick question. All you
have to know is that everything is out of 100%, so if 85% is given, the
balance is simply 15%
◍ Your stock current costs is $34.56 dollars per share. At the closing of the
Dow, your stock went up 1/8%. How much is your stock worth now?.
Answer: Correct answer: $34.60 Explanation: 1/8% is equal to 0.125/100 =
0.00125, now if we mulitply this times the stock value, we get 0.00432 and
then we add this to our stock amount =0.0423 + 34.56 = 34.60.
◍ If 15% of all Americans are millionaires, how many Americans are not
millionaires, if there are 245,000,000 Americans?.
Answer: Correct answer: 208,250,000Explanation:Remember 15% is the
balance of 85%, which are the percentage of Americans that are not
, millionares. So just take 0.85 times the population.280,250,000
◍ According to the diet clinic Angie was diagnosed as being 15 pounds
overweight for her body size. If Angie weighs 150 pounds, what percentage
her weight needs to be lost?.
Answer: Correct answer: 10%Explanation:The question here is,,,,,, 15
pounds is what % of 150 or....15 = x 150,, so we divide both sides of the
equation by 150 to get 30 percent. Did you remember to mulitply by 100 to
get your perecent?
◍ John walked ¾ the distance of Bob. If Bob walked 3 ¼ miles, how far did
John walk?.
Answer: Correct answer: 2 and 7/16 of a mileExplanation:1. 2 and 7/16 of a
mile2. 3 miles3. 2.5 milesSolution;Take ¾ of 3 ¼. The word "of" means to
multiply.¾(3 ¼)¾ (13/4)Numerator multiples numerator and denominator
multiples denominator. 39/16This is an improper fraction which needs to be
made into a mixed numeral.John walked 2 and 7/16 of a mile
◍ Place in order of greatest to least.3/4, 7/8, 9/11.
Answer: Correct answer: 7/8, 9/11, 3/4Explanation:First try to reduce any to
lowest terms. Then find a common denominator for all and convert each
fraction to an equivaltent fraction. The common denominator is 352.
264/352, 308/352, 288/352 these would then be ordered from greatest to
least.7/8>9/11>3/4
◍ 70%.
Answer: Answer: 0.70Explanation: Percentages always indicate a part out of
100. Therefore 70% is the same thing as saying 70/100 = 0.70
◍ 0.055%.
Answer: Correct answer: 0.00055Explanation:This is out of 100, so we can
either perform long division of 0.055/100 or use the factor of
1055x10-3(10-2)55x10-50.0005510-2=1/100
◍ 0.120.
Answer: Correct answer: 12%Explanation:To convert any number to a