Hesi A2 Math

____ X =

10,000

Roman Numeral C = ____

100

1 meter = ____ centimeters

100 cm

_____ C =

100,000

1 gram = ____ milligrams

1000

1 kilogram = ____ grams

1000

1 kilometer = ____ meters

1000

1 liter = ____ milliliters

1000

Roman Numeral M = ____

1000

1 liter (L) =

1000 milliliters

Express 48% as a fraction in lowest terms. 3/5 6/7 12/25 24/50

C. 12/25 move decimal to the left two units

A package of 10 pencils is divided between every 2 students in class. If there are 20 students in class, then how many pencils are needed? 20 40 80 100

A. 100 each student gets 5 multiply that by 20=100

A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 4.5 inches, what is the actual length of the built living room? 45 feet 25 feet 15 feet 12 feet

C. 15 feet

What percent of 84 is 126? 102% 120% 150% 175%

C. 150% 126 x 100= 12,600 12,600 devided by 84 = 150

Sam tipped the cab driver $3.75 on a ride that cost $22. To the nearest percent, what size tip did he leave? 15% 16% 17% 18%

C. 17%

Subtract: 1.085 - 0.85 = 1.0 0.935 0.235 0.215

C. 0.235 (line up all decimal )

Beatrice purchased some dishes at the tag sale for $.75 apiece. If she paid with a $10 bill and received $1.75 in change, how many dishes did she purchase?

11 Beatrice received $1.75 in change from her $10 bill, so she spent $10 - $1.75, or $8.25. To find how many dishes she bought at $.75 apiece, divide $.75 into the amount she spent: $8.25/$.75 = 11

Add and simplify: 1/2 + 1/4 + 1/6 = 11/24 11/12 3/4 5/6

11/12

Rebeca is ablr to paint 12 pickets on her picket fence in an hour. Her fencce is 72 feet long , with 2 pickets per hour. How long will it take her to paint the fence?

12 hours Rebecca's fencec must have 144 pickets.She can paint 12 an hour, so she can do 144 in 144 devided by 12 , or 12 hours

1 foot = ____ inches

12 in

. Of the 300 patients receiving a placebo, 60% showed improvement in their symptoms. How many patients showed no improvement?

120

1 gallon = ____ ounces

128

Subtract 4/7 - 1/5 = 13/35 11/14 3/7 3/5

13/35

multiply and simplify 3 1/4 and 1/16

13/64 To multiply mixed number and fractions, first express mixed fractions as fractions. In this case ,3 1/4 may be expressed as 13/4.Next multiply numerators and denominators.13 x 1= 13 . 4 x 16= 64 . Then answer is 13/64

What is 15 percent of 95? 14.25 18.5 24.25 28.5

14.25

Olivia 's bakery gives out an extra cupcake for each dozen sold, to make a bakers dozen of all 13 in all .How many extra cupcakes does the bakery add to a special order ofn 180 cupcakes?

15 Start by determine how manu dozen are there in 180 180 devide by 12=15 the bakery must add 1 cupcake per dozen or 15 in all

1 pound = ____ ounces

16

How many quarts are there in 4 gallons (Enter numeric value only.) ________.

16

1 gallon = how many cups

16 cups

1 pint = ____ ounces

16 ounces

Express 85% as a fraction in the lowest term

17/20 85%=85/100 devide by 5/5=17/20

MDXVI

Reading from left to right M= 1,000 , D= 500, X=10 and VI=6 making it 1516

Grayson left a $2.43 tip for a lunch that cost $13.50.What percent did he leave?

18%) To find the percent $2.43 is of $13.50,simply divide: $2.43 by $13.50. The answer is 0.18,or 18%

In Juanita's nursing class, 15% of the students graduated from a two-year program. If there are 220 students in her class, how many did not graduate from a two-year program?

187

Of the 300 patients receiving a placebo , 63% showed improvement in their symptomps. How many patients showed no improvent ?

1=20 IF 60% showed improvement , 40% did not. 0.40 x 300= 120

1 pint = ____ cups

2

1 quart = ____ pints

2

Leon bought 3 cookies for $.85 each, 2 cups of coffee for $1.49 each, and a newspaper for $1.75. He gave the cashier a $5 bill and three $1 bills. What is the greatest number of quarters he could have received as change?

2

devide and simplify 4 1/8 divided by 1 1/2

2 1/4 Beging by expressing the mixwd number as improper fration: 4 1/8= 33/8, and 1 1/2= 3/2 To devide by a fractrion , multiply by its reciprocal . Therefore, 33/8 divided by

Proportions

2 ratios that have equal value Ex: 5/12 = 25/60 Ex: 5:12::25:60

1 pound = ____ kilograms

2.2

How many liters are there in 2,500 mililiters?

2.5 liters 1,000 ml = 1 liter 2,500 mililiter =2.5 liters

1 inch = ____ centimeters

2.54 cm

1 ton = ____ pounds

2000

Express the ratio of 13:60 as a percentage

22% Percentages are essentially ratios where the second number is 100 Devided 13 by 60 to find a decimal equivalent 13 devided by 60= 0.2166666, which rounds to 22%

What is 120% of 20? 24 44 140 180

24

How many millimeters are there in 25 centimeters? __________

250

1 ounce =

28.350 grams

1 fluid ounce =

29.574 milliliters

1 Gallon =

3.785 liters

1 ounce = ____ milliliters

30

How many milliliters are in 1 ounce?

30 mililiters

1 foot =

30.48 centimeters or 0.3048 meters

1 quart = ____ ounces

32

How many cups are there in 2 gallons?

32

1 yard = ____ feet

3ft

1 gallon = ____ quarts

4

Roman Numeral IV = ____

4

1 quart =

4 cups

1 gallon =

4 quarts

Roman Numeral XL =

40

What is 110% of 40?

44 110% is slightly more than 100 % solve by thinking 1.10x40=44

1 pound =

454 grams or .454 kilograms

Roman Numeral V = ____

5

how many kilograms are there in 11 pounds?

5 killograms Since 2.2 pounds = 1 kilogram 11 pounds = 11/2.2 kilograms or 5 kilograms

1 mile = ____ feet

5,280

Roman Numeral L = ___

50

____ L =

50,000

Roman Numeral D = ____

500

____ D =

500,000

Roman Numeral ___ V =

5000

1 year = how many weeks

52 weeks (time)

If the outside temperature is 15 degrees on the Celcius scale , what is the apropriate temperature in the Celcius sclae?

59 F ⁰ Formula is =(9/5) C =32 (9/5)15=32=59

If the temperature is 41o on the Fahrenheit scale, what is it on the Celsius scale?

5⁰

what is the reciprocal of 6?

6/1 = 1/6

Roman Numeral LX = ____

60

1 gallon = ____ pints

8

1 Pound =

8 fluid ounces

1 gallon =

8 pints

Divide 92 / 11 = 8 r3 8 r4 8 r7 9 r1

8 r4

Express 4/5 as a percent. 20% 40% 50% 80%

80%

Roman Numeral IX = ____

9

Roman numeral XC=

90

Frederica worked 7 hours on Monday and 6 1/2 hours each day from Tuesday through Friday. If she makes $10.45 an hour, what was her gross income for the week?

$345 First figure out how many hours she worked all week. 7 + 6.5 + 6.5 +6.5 + 6.5 =33 hours in all. Now multiply that by $10.45 per hour: $10.45 x33= $345.85 Then round to the nearest whole number to get $345

2120 hours

9:20 pm

What date in the Arabic numerals is Roman numerals MCLXV

(1165)Reading from left to right ,M=1000, C=100,L=50,and XV =15 Making the date 1165

At the emergency room Thursday morning , ambulance delivered 5 laceration victims, 8 people with broken bones, 2 heart attack patients, and 5 patients with breathing difficulties.What percentage of the deliveries were people with broken bones ?

(40) There were 5+8+2+5 deliveries in all, or 20 patients.8 out of 20=40 out of 100, so the percentage of people with broken bones was 40%

Solve the proportion (Find value of x)

-Rewrite as fractions -Multiply diagonal #s -Divide answer by remaining # Ex: x:63::24:72 62•24 =1512 \ 72 = 21 x=21

How to convert Fahrenheit to Celsius?

-Subtract 32 & Multiply by .5556 Ex. (50 Fahrenheit - 32) * .5556 = 10 Celsius

How many liters are the in 500 mililiters?

0.5 mililiters One mililiters=0.001 liters, so 500 mililiters=0.5 liters

1 yard =

0.914 meters

1 Quart =

0.946 liters

The trumpete blows reville at 6:30 am .What time does is in military time?

0630 this is the correct form four tims before noon

1 milliliter = ____ cubic centimeter

1

Roman Numeral I = ____

1

susbtract and simplify 7/4 -1/12 =

1 2/3 7/4= 21/12- 1/12=20/12 which is the same as 1 8/12 or 1 2/3

____ M =

1,000,000 1 million

1 mile = ____ yards

1,760

In a scale drawing for a toy rocket , 1 in= 6 inches. If the rocketis 6 inches tall on the drawing , how tall is in reality?

= (1 yard) 1 inch is equivalent to 6 inches 6 inches is equivalent to 36 inches , or 1 yard

1 mile =

1.609 kilometers

Roman Numeral X = ____

10

1 centimeter (cm) = how many millimeters (mm)

10 millimeters (length)

A plam for a shed is drawn on a 1:10 scale. If the roof of the real shed measure 4 feet by 5 feet , what were the measurents on the plan?

=(4.8 in by 6 in) You an find the answer by setting up a proportion.First convert feet to inches : 4ft= 48 inches Then solve the proportion:1/10=x/48 so x=4.8 inches You do not even need to complete the proportionfor 45ft, or 60 inches

Add and simplify: 1/3 + 1/4 + 1/5 =

=(47/60) find lcd for each fraction then add

The number 8.4 is 15% of what number?

=(56) set up a proportion

A landscaping plan is drawn on a 1:50 scale. If a deck in the plan ,measures 12 cm by 10 cm, how large is the deck in real life?

=(6 m by 5 m) set up a proportion: 1/50=10/x = 500 cm Since 500 cm equals =5m

A landscaping palned was drawn on a scale 1:50 scale. If a deck in the plan measeures 12 cm by 10 cm, how long is the deck in real life?

=(6 m by 5 m) In real life the deck is 12 x 50 cm by 10 x 50cm, or 600 cm by 500 cm. Since there are 100 cm in a meter , you should be able to tell right away that the answer will be 6 m by 5 m

1776 in Roman numeral

=1000=M 700=DCC 70=LXX 6=VI

Patient X usually ingests about 2,000 calories daily. If Patient X is placed on a regiment that cuts that daily intake by 20%, how many calories will Patient X consume in a week? (Enter a numeric value only) __________.

=11,200 multiply .20 by 2,000

Add and simplify 2/15 +1/12

=13/60 First , find the lowest common denominator. 2/15 x 4/4=8/60 1/12=5/5=5/60. 8/60 +5/60 =13 /60

subtract and simplify 2 11/12 - 3/16=

=2 35/48 To add and subtract fractions , first find the lcd and convert each fraction to an equivalent fraction with that denominator .Here are the lowest common denominator 48 2 44/48 -9/48=- 2 35/45

The number 4 is 20% of what number?

=20 Think of this as an equation :20/100(20/100)x=4If you reduce this in your head to (1/5)x=4 20% is the same as 1/5 , so you are looking at the number 5 times 4

176 is 88% of what number?

=200 Since 88 is 88% of 100, twice 88, or 176, must be 88% of 200

A recent census of visitors to popular beach showed that there was a ratio of 6:16 sufers to swimmers .Which of the following is a possible actual number of surfers and swimmers at the beach?

=210:560 You must the ratio taht is equivalent to 6:16. 60:160 would be equivalent , so this choice will be incorrevt 72:192 is equivalent, making it also incorrect 120:320 would be equivalent , and it is also incorrect Tje correct answer is 210:560 , multiplying both sides of the original ratio by 35 gives you 210:560

How many milimiters are there in 25 cm?

=250 One cm = 10 mm So 25cm x10mm= 250

Hom many centimeters are there in 1 foot ?

=38.48 Since 1 inch equals 2.54 centimeters , 12 inches ( 1 foot) equals 2.54 x 12 , or 30.48 centimeters

The number 8.4 is 15% of what number?

=56 Solve this as you would any other other problem of this sort Think 0.15x=8.4 8.4 divided by 0.15=56 Check by thinking : Doesit make sense that 15% of 56 would be aound 8?

Add and simplfy 5 2/3 + 6/7

=6 11/23 Express the mixed number as an improper fraction17/3 Then find the lowest common denominator and restate the two fractions : 119/21 + 18/21 solve and express as a mixed number in the lowesst term = 137/21= 6 11/21

15 is 20% of what numbwer?

=75 Think :0.20x=15 . Solve : for x= 15 devided by 0.20. The anser is 75

Express the ratio 6:7 as percent

=86% Think 6 devided by 7 =0.857142 and round to the nearest 100ths =86%

Add and simplify 4 2/3 + 6 1/2 a. 11 1/6 b. 10 1/3 c. 9 1/6 d. 9

A To add mixed numbers first expressed them as an improper fractions .In this case 42/3 may be expressed as 14/3 and 6 1/2 is 13/2. Next add the numerators 28 + 39 = 67. 67/6= 11 1/6

The Myers have three sons. Jake is half as old as Tony, and Tony is 4 years younger that Quinn's age plus Jakes age. If Quinn is 10, how old is Jake? 6 8 12 16

A. 6

How many teaspoons are there in 3 tablespoons? 9 teaspoons 10.5 teaspoons 12 teaspoons 18 teaspoons

A. 9 teaspoons

At Teeburg Community College , the ratio of teachers to students is 1:12 Which could be the actual student and teacher population at Teeburg?

B) 85 teachers , 312 students The actual population must be an equivalent ratio to 1:12.In the case of choice B (1x85):(12x85)=85:1,020

Multiply: 0.6 * 0.06 = 0.0036 0.036 0.36 3.6

B. 0.036

Alex is tripling a recipe that calls for a pint of cream. How much cream should he buy to ensure that he has just enough? 1 quart 1 quart and 1 pint 2 quarts 1 half gallon

B. 1 quart and 1 pint

At Teeburg Community College, the ration of teachers to students is 1:12. Which could be the actual student to teacher population at Teeburg? 24 teachers, 312 students 85 teachers, 1,020 students 89 teachers, 979 students 92 teachers, 1,288 students

B. 85 teachers, 1,020 students

Of the 250 problems. Daniel got 235 correct. What grade did he receive? 92% 94% 96% 98%

B. 94% divide 235 by 250 to get 94

Devide and simplify 3 1/2 by 1 1/10

Beging by expressing the mixed numbers as improper fractions : 3 1/2 = 7/2, and 1 1/10 = 11/10= 7/2 x 10/11 , or 70/22. Now reduce tpmthe lowest terms:70/22 devided by 2/2. Finally express 35/11 as mixed number 3 2/11

In Downsville, a bus token cost 25¢ in 1990. This year, a bus token costs 75¢. What is the percent of increase in the cost of the token? A. 50% B. 75% C. 200% D. 300%

C First find the difference in price: 75¢ - 25¢ = 50¢. Then put the difference over the original price to find the percent change: , or 200%.

A plan for a house is drawn on a 1:40 scale. If the length of the living room on the plan measures 4.5 inches, what is the actual length of the built living room? a. 45 feet b. 25 feet c. 15 feet d. 12 feet

C Set up a proportion 1/40=4.5/x solve for x cross multiply x=4.5(40), or x=180'' inches Convert that to feet gets you 180/12 , or 15 ft

What is the decimal equation to convert Fahrenheit to Celsius?

C = F-32/1.8

If a train travels 270 miles in 3 hours, how far will it travel in 4.5 hours? a. 300 miles b. 350 miles c. 405 miles d. 425 miles

C Set up this proportion 270/3=x/4.5. You may cross multiply to solve: 270x4.5 =3x. 1,215=3x. x=1,215/3, or 405.

15 is 20% of what number? a. 3 b. 45 c. 75 d. 300

C Think .20x=15. Solve: x=15÷.20

Bai Lin estimates that of her monthly paycheck , she puts 10% in savings 30% on living expenses . If she has $1,545 left fter that , how much is her monthly paycheck?

C) $2,575 Thin,k Bai Lin uses 10% + 30% of some unknown total ,x, on savings and living expenses .She uses 40% ,so $ 1,545 must represent 60% of the total.Now you have enough information to set up the equation 60% of x=$1,545. 0.60x=$1,545. $1,545 divided by 0.60=x, so x=$2,575

Divide and simplify 4 5/8 by 1 1/2

C)3 1/12 Express the mixed numbers as improper fractions , and multiply the first by the reciprocal of the second.4 5/8=37/8. 1 1/2=3/2. 37/8 x2/3=74/24 Now reduce to lowest term and express the answer in mixed number. 74/24=37/12=3 1/12

Carlotta earned 2% on her savings of $1,050. How much did she have then? $1,052 $1,060 $1,071 $1,075

C. $1,071

Bai Lin estimates that of her monthly paycheck, she puts 10% in savings and spends 30% on living expenses. If she has $1,545 left after that, how much is her monthly paycheck? $2,175 $2,250 $2,575 $2,650

C. $2,575

. At the Farmer's Market, Kate bought 6 ears of corn for $.35 apiece. She paid with a $5 bill. How much change did she receive? $1.90 $2.10 $2.90 $3.90

C. $2.90

Divide and simplify: 45/8 / 11/2 = 41/24 323/24 31/12 31/16

C. 31/12

In one litter of kittens, there were 3 black kittens, 4 gray kittens, and 1 black-and-white kitten. What was the percentage of black kittens in the litter? 50% 48% 37.5% 28%

C. 37.5%

change the fraction to a percent 5/9

Change the fraction into a division problem and solve .Move the decimal behind the hundredths place in the quotient. .Drop the percent sign after the new number.

Callie makes 2% interest quarterly on a deposit of $100. After a year, about how much is in her account? $102 $104 $106 $108

D. $108 multiply 0.02 x 100 =2 2 x quaterly(4) =8 8 + 100= 108

Solve for x. 4:6 :: 120:x 124 144 140 180

D. 180

How many feet are in 6 meters? 1.83 feet 18.48 feet 18.8 feet 19.68 feet

D. 19.68 feet

About how many pounds are there in 15 kilograms? 20 25 30 33

D. 33

Stanton runs 2 miles twice a week and 3 miles once a week. If he rungs every week, how many miles does he run in a year? 185 260 330 364

D. 364

Multiply and express in lowest terms: 12/3 X 31/2 = 32/3 41/6 51/3 55/6

D. 55/6

A census of the village showed a ratio of 2:13 born-and-bred villagers to more recent arrivals. Which of the following is a possible actual number of born-and-bred villagers and more recent arrivals? 32:200 50:320 56:365 64:416

D. 64:416

If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale? 56oF 62oF 66.5oF 71.6oF

D. 71.6⁰F

How to convert a fraction to percent?

Divide the top of the fraction by the bottom, multiply by 100 & add % sign. Ex. 2/3 = 66.7%

multiply and simplify 2 3/5 x 1 1/4

Epress the mix numbers as an improper fractions then multiply numerators and denominators for a product of 117/40 Finally express this as mixed numberin the lowest term 2 17/40

What is the decimal equation to convert Celsius to Fahrenheit?

F = (C*1.8)+32

how many pounds are ther in 8 kilograms?17.6 kilograms

I f 1 kilogram is 2.2 pounds, 8 kilograms equal 2.2 x 8= 17.6

how many kilometers are there in 12 miles? A.7.5 Miles

If 1 mile equal 1.6 kilometers , 12 miles equals 1.6 x 12 or 19.2 kilometers

Write down date 2007 in Roman numeral

MMVII

In class the ratio of males to females is 4:5. If there are 36 total students, how many females are in the class?

Males= 4 Females= 5 Total= 9 How many times does 9 go into 36? 4. so multiply 4 by each male, female, and total. male= 4*4= 16 female= 5*4= 20 total= 9*4= 36

How to convert Celsius to Fahrenheit?

Multiply by 1.8 & add 32. Ex. 30 Celsius * 1.8 + 32 = 86 Fahrenheit

If a train travels 270 miles in 3 hours, how far will it travel in 4.5 hour?

Set this up as proportion 270/3=x/4.5 You may cross multiply to solve 270 x 4.5= 3x x=1,215/3, or 405

How to convert a percent to fraction?

Step 1: Write down the percent divided by 100 like this: percent/100 Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.) Step 3: Simplify (or reduce) the fraction Ex. 75% = 75/100 = 15/20 = 3/4

Which numeric system was a base 20 system

The Mayan systen is based on 20 Babylonian system is based on 60

What is the least common denominator for 3/8 and 1/12

The leat common denominator os is the least number into which each denominator divides.8 does not divides into 12, but it does divide into 24

How many cups are there in 2 gallons?

There are 16 in a gallonand 32 cups in 2 gallons

solve for x 3:5::81:x

Think of the ratio this way : 3 is to 5 as 81 is to x. You may solve this by setting up an equation and cross multiply. 3/5= 81/x 5 x 81=3x 405=3x x= 135

Roman numerals

When a c is put before an m it means to subtract 100 for 1000

improper fraction

a fraction in which the numerator is larger than the denominator

mixed fraction

a number that is a whole number, and a fraction

In what numeric system does 101 referto this amount *****?

binary

subtracting mixed fractions

convert any mixed fractions to improper fractions, and subtract (apply common denominators if needed)

ratios; finding the whole when a total is given

convert the ratio to a fraction by adding together the parts of the ratio, this sum is the whole and will be the denominator to the parts to cross multiply. (ratio 5:4 = 9; 4/9 and tot 90 is 4/9 = x/90; x = 40)

finding ratio equivalents

cross multiply with given ratio and information

improper fraction to mixed fraction

divide the larger numerator by the smaller denominator; the quotient becomes the whole number, the remainder becomes the numerator, and the denominator stays the same.

adding mixed fractions

first add the whole numbers, then add the fractions (apply common denominators if needed)

P E M D A S

in a math problem, the order of steps done from left to right starting with parenthesis, then exponents, multiplying & dividing, and adding & subtracting

find ratio of 6:16

multiply both sides of the original ratio by 35 will give =210:560

mixed fraction to improper fraction

multiply the denominator by the whole number and add the numerator, keep the original denominator

a cake recipe calls for 2 1/2 cups of flour. How many cups are neededn to make 6 cakes

set up a proportion 20.5/1 =x/6 cross multiply to solve 2.5x6=x,x=15 So 1 cake takes 2 1/5 cups so 21/5 x 6=15 cups

GCF

the largest number that can divide evenly into, and be shared by, two numbers (7 - 1, 7 & 21 - 1, 7, 3, 21: GCF = 7)

10 kilograms is equivalent to how many pounds?

to convert kilograms to pounds, multiply 2.2 lbs/kilo. 10 * 2.2 = 22