HESI A2 LPN Math Entrance Exam 0 Degrees Celsius = ____ Degrees Fahrenheit - ✔-32 100 Degrees Celsius = ____ Degrees Fahrenheit - ✔-212 1 kilometer = ____ meters - ✔-1000 1 meter = ____ centimeters - ✔-100 cm 1 inch = ____ centimeters - ✔-2.54 cm 1 mile = ____ feet - ✔-5,280 1 mile = ____ yards - ✔-1,760 1 yard = ____ feet - ✔-3ft 1 foot = ____ inches - ✔-12 in 1 liter = ____ milliliters - ✔-1000 1 milliliter = ____ cubic centimeter - ✔-1 1 gallon = ____ quarts - ✔-4 1 gallon = ____ pints - ✔-8 1 gallon = ____ ounces - ✔-128 1 quart = ____ pints - ✔-2 1 pint = ____ cups - ✔-2 1 pint = ____ ounces - ✔-16 ounces 1 ounce = ____ milliliters - ✔-30 1 kilogram = ____ grams - ✔-1000 1 gram = ____ milligrams - ✔-1000
1 ton = ____ pounds - ✔-2000 1 pound = ____ ounces - ✔-16 1 pound = ____ kilograms - ✔-2.2 Roman Numeral I = ____ - ✔-1 Roman Numeral IV = ____ - ✔-4 Roman Numeral V = ____ - ✔-5 Roman Numeral IX = ____ - ✔-9 Roman Numeral X = ____ - ✔-10 Roman Numeral L = ___ - ✔-50 Roman numeral XC= - ✔-90 Roman Numeral XL = - ✔-40 Roman Numeral LX = ____ - ✔-60 Roman Numeral C = ____ - ✔-100 Roman Numeral D = ____ - ✔-500 CM= - ✔-900 Roman Numeral M = ____ - ✔-1000 Roman Numeral ___ V = - ✔-5000 X = - ✔-10,000 L = - ✔-50,000 C = - ✔-100,000 D = - ✔-500,000
M = - ✔-1,000,000 1 million 1 quart = ____ ounces - ✔-32 Convert a fraction to a percentage example - ✔-Divide the top of the fraction by the bottom, multiply by 100 & add % sign. Ex. 2/3 = 0.666666667 = 0.666666667 *100 = 66.7% To convert a fraction to a percent - ✔-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. 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 Convert 62.5% to a fraction - ✔-Ex. Step 1: write down. 62.5% = 62.5/100 Step 2: multiply both top & bottom by 10. = 62.5/100 *10 = 625/1000 Step 3: Simplify the fraction. 625/1000 Divided by 25 = 25/40 can go lower if divided by 5 which = 5/8 A sample contains 2/3 oz. of liquid. How many milliliters (mL) is this? - ✔-To convert oz. to mL, multiply by 30 oz./mL. 2/3 * 30 = 60/3 = 20 Instructions require you to dilute a powder in 3 quarts of water. You only have a container that is marked in liters. How many liters would you use to dilute the powder? ✔-1 Quart = 32 oz Therefore, 3 Quarts = 96oz. There are 30 milliliters per oz., so 96 oz. = 2,880 milliliters There are 1000 milliliters per liter, so 2,880 mL = 2.88 Liters Or 1 Quart = 0.946 Liter *3= 2.838 = 2.88 L 35% to fraction - ✔-35/100 = 7/20
1 foot = - ✔-30.48 centimeters or 0.3048 meters 1 yard = - ✔-0.914 meters 1 mile = - ✔-1.609 kilometers 1 ounce = - ✔-28.350 grams 1 pound = - ✔-454 grams or .454 kilograms 1 fluid ounce = - ✔-29.574 milliliters 1 Quart = - ✔-0.946 liters 1 Gallon = - ✔-3.785 liters 1 Pound = - ✔-8 fluid ounces 10 kilograms is equivalent to how many pounds? - ✔-to convert kilograms to pounds, multiply 2.2 lbs/kilo. 10 * 2.2 = 22 How to convert Celsius to Fahrenheit? - ✔-Multiply by 1.8 & add 32. Ex. 30 Celsius * 1.8 + 32 = 86 Fahrenheit How to convert Fahrenheit to Celsius? - ✔-Subtract 32 & Divide by 1.8 Ex. (50 Fahrenheit - 32) /1.8 = 32.2 Celsius what is the reciprocal of 6? - ✔-6/1 = 1/6 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 A roast was cooked at 325 Fahrenheit in the oven for 4 hours. The internal temp. rose from 32 Fahrenheit to 145 Fahrenheit. What was the average rise in temperature per hour? - ✔-temp./hr = (145-32)Fahrenheit/4hrs. = 113F/4hrs = 28.25 F/hr
Roman numerals - ✔-When a c is put before an m it means to subtract 100 for 1000 Example for Roman numeral - ✔-1969 = 100 -> M 900 -> CM 60 -> LX 9 -> IX = MCMLXIX 1991 in Roman numerals - ✔-1000 = M 900 = CM 90 = XC 1=I = MCMXCI 2016 - ✔-1000 = M 1000 = M 10 = X 6 = VI = MMXVI 0 Celsius - ✔-32 Fahrenheit (freezing point of water) 100 Celsius - ✔-212 Fahrenheit (boiling point of water) adding positive and negative numbers - ✔-subtract, and use sign of larger number (3 + -4 = -1 or -3 + 4 = 1) adding negative numbers - ✔-add, and the answer will be negative; negative plus negative equals negative (-2 + -5 = -7) a negative minus a negative - ✔-add, and the answer will be negative (-5 - 3 = -8) a positive minus a negative - ✔-add, and the answer will be positive; positive minus negative equals positve (2 - -3 = 5) multiplying & dividing with the same signs - ✔-the answer will be positive whether both signs are positive, or both signs are negative (3*3 = 9) or (-4*-5 = 20)
multiplying & dividing with different signs - ✔-the answer will be negative when multiplying or dividing different signs (-5*5 = -25) P E M D A S - ✔-in a math problem, the order of operations (steps to be done) from left to right starting with parenthesis, exponents, multiplying & dividing, and adding & subtracting GCF (Greatest Common Factor) - ✔-the largest number that can divide into both numbers, and be shared by, two numbers (7 & 21) For 7: 1, 7 For 21: 1, 3, 7, 21: GCF = 7) LCD (Lowest Common Denominator) - ✔-the smallest multiple of a number that is shared by two numbers EX) 2/5 + 3/4= LCD = 20 = 8/20 + 15/20 = 23/20 = 23/20 = 1 3/20 adding and subtracting fractions - ✔-Convert all fractions into numbers with common denominators by finding the LCD of each fraction. Once the denominators are the same, the numerators can be added or subtracted. mixed fraction - ✔-a number that is a whole number, and a fraction adding mixed fractions - ✔-first add the whole numbers, then add the fractions (apply common denominators if needed) subtracting mixed fractions - ✔-convert any mixed fractions to improper fractions, and subtract (apply common denominators if needed) improper fraction - ✔-a fraction in which the numerator is larger than the denominator mixed fraction to improper fraction - ✔-multiply the denominator by the whole number and add the numerator, keep the original denominator 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. multiplying fractions - ✔-simple multiply; (top times top and bottom (bot) times bottom) EX) (8/5 *5/8) = 8*5 = 40 & 5*8 = 40 = 40/40 = 1
multiplying mixed fractions - ✔-convert any mixed fraction to an 1. improper fractions & keep the previous denominator of each fraction, 2. Look for common multiples and cross cancel, 3. Rewrite the new fractions after cross cancelling, 4. Multiply, 5. Convert improper fraction into a mix number. Ex) 4 1/5 * 2 6/7= 1. (4*5+1) * (2*7+6) = 21/5 * 20/7 2. (common multiple between 21 and 7 is 7) & (common multiple between 5 and 20 is 5) 3. = 3/1 * 4/1 4. = 12/1 5. = 12 dividing fractions - ✔-Remember mixed numbers cannot be divided with fractions,so all mixed numbers must be converted into improper fractions before the question can be solved. Unlike multiplying, the division of fractions calls for the dividing fraction to be inverted (or flipped) 1. Convert all whole numbers and mixed numbers into improper fractions 2) Invert the second fraction (flip the fraction so the denominator becomes the numerator) 3) Cross if necessary (if there are common multiples make the numbers smaller ) 4) Multiply all numerators 5) Multiply all denominators 6) Convert the fraction to a mixed number 7) Reduce answer the lowest terms dividing mixed fractions - ✔-convert any mixed fraction to an improper fraction, and divide as usual (invert the second fraction and multiply) percent formula - ✔-is/of = %/100 percent change - ✔-amount of change divided by original amount, times 100 (amount of change/original amount * 100) percent increase - ✔-subtract old amount from new amount, divided by original amount times 100 ([new amount - old amount]/original amount * 100) percent decrease - ✔-subtract new amount from old amount, divided by original amount times 100 ([original amount - new amount]/original amount * 100) Amount increase or decrease - ✔-multiply original price times % mark up, or mark down (original price * percent mark up or mark down)
original price equals - ✔-divide new price by whole amount minus % mark up, or mark down (new price/[whole - percent mark down or mark up]) finding ratio equivalents - ✔-cross multiply with given ratio and information 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) direct proportion - ✔-two quantities that are directly proportional will increase or decrease in tandem. They change in the same direction. For direct proportions, solve by cross multiplying. inverse proportion - ✔-two quantities which are inversely proportional will change in opposite directions. As one increases, the other will decrease. For indirect proportions, examine the rates at which the two quantities change, then solve using a fractional equation. equations with more than one variable - ✔-example: solve for y: (4x + 3y = 3x + 2y). combine like terms: (3y - 2y = 3x - 4x). solve for y: (y = -x) adding & subtracting in algebraic equations - ✔-only like terms can be added or subtracted. A like term is one with the same variable or combination of variables. Constants are numbers without variables attached, and those can be grouped together as well. multiplying in algebraic equations - ✔-first multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. monomial times monomial - ✔-remember a variable with no exponent has an implied exponent of 1. First multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. ( [3 x4 y2 z][2 y4 z5]= 6 x4 y6 z6) monomial times polynomial - ✔-First multiply the coefficients. Then "multiply" the variables by ADDING together the variable's exponents. Remember a variable with no exponent has an implied exponent of 1. ( [2y2][y3 + 2 xy2z = 4z] = 2y5 + 4xy4z + 8y2z) binomial times binomial - ✔-Remember foil: first, outer, inner, last. Combine like terms by adding/subtracting.
binomial times polynomial - ✔-multiply both terms in the binomial, one by one, with each term in the polynomial creating a first term and a second term, then solve by adding the two terms together. roman numeral system - ✔-System of writing numbers using a combination of: M, D, C, L, X, V, I; numerals are combined to form numbers through addition. A numeral with a smaller value placed before a larger value, means the smaller # is then subtracted. adding and subtracting decimals - ✔-line up decimals, and add or subtract multiplying decimals - ✔-Multiply as whole numbers, count decimal places in each number and add them together. Move the decimal place to the left this many places in the product. (Example: 0.002 x 3.4 or 2 x 34 = 68, plus four decimal places equals 0.0068) dividing decimals - ✔-Move the decimal to the right in the divisor, making it a whole number. Move the decimal the same number of places in the dividend and bring to the top in the quotient, then divide normally. (Example: 34/2.5 is 340.0/25.) percent to decimal - ✔-Move the decimal point two spaces away from the percent sign, [always 2 places left]. Drop the percent sign. When a decimal point is not visible, know that it is always located AFTER the last number in a whole number. (Example: 85.4% to a decimal = 0.854 75% [decimal not visible] to a decimal = 0.75) fraction to decimal - ✔-Divide the numerator by the denominator, and add a decimal & two zeros after the number being divided. Top goes in the box, and bottom goes out. Round to the hundredths place for continuous numbers. (Example: 3/4 to a decimal is 3.00 divided by 4 = 0.75) decimal to fraction - ✔-This requires knowing the place value of the numbers in the decimal. Use the place value to make a fraction. Reduce when necessary. (Example: 0.9[10ths place] to a fraction is 9/10) decimal to percent - ✔-Move the decimal point to the right two places, [always 2 places right]. Add the percent sign behind the new number. (Example: 0.13 to a percent = 13% 0.002 to a percent = 0.2%) fraction to percent - ✔-divide the top number by the bottom number. then multiply the result by 100, and add the "%" sign. 1 quart = - ✔-4 cups
1 gallon = - ✔-4 quarts 1 gallon = how many cups - ✔-16 cups 1 year = how many weeks - ✔-52 weeks (time) 1 centimeter (cm) = how many millimeters (mm) - ✔-10 millimeters (length) 1 liter (L) = - ✔-1000 milliliters comparison of rational numbers - ✔-to determine which of two fractions is greater than, less than, or equal; cross multiply and apply product to the numerator of the fraction. The greater number will be revealed. perimeter formula - ✔-perimeter = width + width + length + length; to solve, all measurements must have the same units, and may require conversions area formula - ✔-area = length times width; to solve, all measurements must have the same units, and may require conversions interest (I) - ✔-interest = principle times rate, times time (I = prt) principle (p) - ✔-principle = interest divided by rate, times time (p = I/rt) rate (r) - ✔-rate = interest divided by principle, times time (r = I/pt) time (t) - ✔-time = interest divided by principle, times rate (t = I/pr) How many milliliters are in 1 ounce? - ✔-30 mililiters 1/5 - ✔-.20 ,20% 3/4 - ✔-.75 ,75% 1/2 - ✔-.50, 50% 1/4 - ✔-.25 ,25% 3/5 - ✔-.60, 60%
4/5 - ✔-.80, 80% 1/8 - ✔-.125 ,12.5% 3/8 - ✔-.375 ,37.5% 1/3 - ✔-.333 ,33.3% 2/3 - ✔-.666, 66.6% Proportions - ✔-2 ratios that have equal value Ex: 5/12 = 25/60 Ex: 5:12::25:60 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 Ex: 18 is 50% of what number? - ✔-18/x = 50/100 18•100 = 1800 \ 50 = 36 Roman Numerals A letter placed after another of a greater value... - ✔-Adds Ex: XVI = 16 Roman Numeral A letter placed before another of a greater value... - ✔-Subtracts Ex: XC = 90 Roman Numeral example 1984 - ✔-MCMLXXXIV 1000 (M) 900 (CM) 80 (LXXX) 4 (IV) Roman Numeral example 2012 - ✔-MMXII 2000 (MM) 12 (XII) PEMDAS - ✔-Parentheses
Exponents Multiply Divide Add Subtract 0' Celsius - ✔-32' Fahrenheit (the freezing point of water) 100' Celsius - ✔-212' Fahrenheit (the boiling point of water) LXXX - ✔-Roman Numeral for 80 Write 4% as a decimal. - ✔-Answer: 0.04 Explanation: 4% = 4/100 =0.04 Write 15% as a fraction. - ✔-Correct answer: 3/20 Explanation: 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: 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? - ✔-Correct answer: 30% Explanation: 12 = x40 divde 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 get 30% 50 is what percent of 300? - ✔-Correct answer: 17%
Explanation: Again, here is our operating words, 50 is, or equals, what or x, percent of 300. so we have 50 = x (300),,, now divide both sides by 300 and reduce the fraction 50/300 and then multiply by 100 for a percent. 1/6 (100) = 16% Write 5/8 as a percent - ✔-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: 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: 65.625 Explanation: 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. - ✔-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. - ✔-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? - ✔-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? - ✔-Correct answer: 208,250,000 Explanation: 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? ✔-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? ✔-Correct answer: 2 and 7/16 of a mile Explanation: 1. 2 and 7/16 of a mile 2. 3 miles 3. 2.5 miles Solution; Take ¾ of 3 ¼. The word "of" means to multiply. ¾(3 ¼) ¾ (13/4) Numerator multiples numerator and denominator multiples denominator. 39/16 This 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 - ✔-Correct answer: 7/8, 9/11, 3/4 Explanation: 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 0.00078/0.00002 - ✔-Correct answer: 39 Explanation: Turn the numerator and denominator into a factor of 10. 78 x 10 -5 ÷ 2.0 x10-5 Divide 2 into 78 = 39 Subtract the numerator exponent from the denominator exponent: 10 (-5 -(-5)) = 100 = 1
39x1 =39 0.00045/9 - ✔-Correct answer: 5 (10-5) Explanation: Use powers of 10 for the numerator and then divide. (45x10-5)/9 45/9 = 5 (10-5) 10,000/104 - ✔-Correct answer: 1 Explanation: Use exponents to solve this rather than long division. 104/104= 10(4-4) = 100 =1 (0.000068)3 - ✔-Answer: 3.14x10-13 Explanation: Simplify the expression in parentheses first; (68 x 10-6)3 When raising an exponent to any power, multiply that power to each of the items powers in parenthesis. 683x10-18 Any time that there is a negative exponent, it indicates that the item is in the denominator, and the exponent then becomes positive 683/1018 Convert to a percent; 0.0087 - ✔-Correct answer: 0.87% Explanation: Any time you are asked to change a number to a percent, simply multiply that numberr by 100 or find the decimal and move it two places to the right. Convert to a percent; 1.25 - ✔-Answer: 125% Explanation: Move the decimal point two places to the right, which is the same as multiplying by 100. 125% The length of a ruler is 30 cm. How many millimeters is that? - ✔-300mm eighty percent of the class passes with a 75 or higher.If that percent equaled 24 students how many students where in the whole class? - ✔-0.80x=24
x=24/0.80 x=30 a scientist must measure the distance between two twigs in a nest. which would be the most accurate tool to use for this task? ruler or caliper - ✔-caliper express 1.25 as a fraction in lowest terms - ✔-1 and 25/100 or 1 and 1/4 a landscaping plan is drawn on 1:50 scale. if a deck in the plan measures 12cm by 10cm, how large is the deck in real life? - ✔-Set up proportion 1/50=10/x 50 x 10= 500 cm but we want in meters so 1m= 100 cm so 500 cm= 5 meters so 6m by 5m 96% of class passed with C or better. if 50 students in class, how many passed with C or better? - ✔-96% x 50= 48 students 2007 in roman numeral - ✔-MMVII 2000=MM 7=VII what number is 125% of 75? - ✔-93.75 1.25 x 75 at the farmers market, james bought 6 lemons for $1.44. how many lemons did casey buy for $4.80? - ✔-1.44 divided by 6= 0.24 4.80 divided by 0.24 = 20 75% of what number is 18? - ✔-0.75x=18 x=18/0.75 x=24 find the volume of a box 6in high, 6in wide, and 6in deep. - ✔-216 cubic in v= L x W x H how many miles are there in 8km?
1mi=1.6km - ✔-5 miles Hannah's hand span is 80 mm. How many centimeters is that? - ✔-8cm Ron ran for 40 km. How many meters is that? - ✔-40,000m The width of a tennis court is 11 m. How many centimeters is that? - ✔-1,100cm what percent of 25 is 5? - ✔-x 25 = 5 so 5/25 which equals .20 or 20% the 18 students who received an A in a math class made up 30% of the students in the class. find the total number of students in the class. - ✔-18/.30= x/.70 = 42 42 + 18 = 60 students Wally walks for 75,000 m. How many kilometers is that? - ✔-75km convert 319% to a decimal - ✔-3.19 On Monday, 3 students out of a class of 24 were absent from class. what percent of students were absent form class? - ✔-3/24 = 12.5 convert 0.025 to a fraction in simplest form - ✔-25/1000 which is the same thing as 0.025 now just reduce 25/1000 common denominator is 25 so equals 1/40 If blank CDs cost 36 cents for two, how much does it cost to buy 10 blank CDs? - ✔$1.80 If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale? - ✔-71.6 F Lulu is 5 years younger than her sister, who is 7 years older than their 5 year old cousin. How old is Lulu? - ✔-17 years old If a party planner assumes 2 bottles of sparkling water per 5 guests,how many bottles must she purchased for a party of 145? - ✔-58 Ben is training for a marathon. If he starts running 4 miles a day in week 1 and adds 2 miles per run each week, in which week will he reach his goal of a 26-mile run? - ✔Week 12
Stu purchased a set of 6 cups and 6 plates at a garage sale. The cups were 25 cents apiece, and the plates were 75 cents apiece. If Stu paid with a $10 bill, how much change was he owed? - ✔-$4 Rosie made $239.98 this week working at the student union. She put half into savings to help pay her tuition and board and then spent $65 on a textbook. How much did Rosie have left from her paycheck? $54.99 $64.94 $87.49 $184.99 - ✔-$54.99 Multiply: .012 * 0.15 = 0.0018 0.018 0.18 1.8 - ✔-0.018 Multiply two numbers with two digits to the right of the decimal point should result in a product with four digits to the right of the decimal point. However , the final digit, 0, is dropped off. . On the lot at Stafford Motors are 7 pickup trucks, 7 two-door automobiles, 28 four-door automobiles, and 14 SUVs. What percentage on the lot are SUVs? (Enter numeric value only. If rounding is necessary, round to the whole number.) - ✔-25 You area asked to find the percentage of SUVs out of eh whole number of vehicles, so first you must addto find the number of vehicle in all:7 + 7+ +28 +14=56 14 is 1/4 of 56 , so the percentage of SUVs is 25% In what numeric system does 101 name this amount: *****? Roman Arabic Decimal Binary - ✔-Binary There are 5 stars in our Arabic or decimal system if numbers. In the binary system , that would be 101 , where 1=1 four, 0=0 two's , and 1=1 one. How many kilograms are there in 11 lbs - ✔-multiply 2.2 by 11 =24.2 What is the common denominator of 1/6 and 1/15 - ✔-30 The least common denominator is the least number into which both denominators devide. Finding the common multiples is the easiest way to find this number
Factors of 6=6,12,18,24,30,36 Multiples of 15= 15,30,45,60,75 The leats multiple that both numbers have in comon is 30 Write the date 1929 in Roman numerals. MCMIX MCXXIX CMXXIX MCMXXIXt - ✔-MCMXXIX At Jules's Grocery, Lena bought 6 apples for $5.70. How many did Sarah by for $3.80? 2 3 4 5 - ✔-=4 devide 5.70 by 6 = 97 97 x4 =$3.80 About how many kilometers are there in 12 miles? 7.5 13.2 19.2 22 - ✔-=(19.2) if 1 mile equals 1.6 kilometers , 12 miles equals 1.6 x 12 =19.2 kilometers What number in Arabic numerals i Roman numeral MCLXV? (Enter numeric value only.) ____________ - ✔-1165 M=1000 C=100 L=50 XV=15 Express the ratio of 25:80 as a percentage. 31.25% 34% 41.25% 43.75% - ✔-A. 31.25% Which numeric system was a base of 20 - ✔-Mayan
How many liters are there in 500 mililiters? - ✔-1 mililiter= 0.0001 liters, 1 liter = 1000 mililiter so 500 mililiters = 0.5 liters 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 Subtract: 1.085 - 0.85 = 1.0 0.935 0.235 0.215 - ✔-C. 0.235 (line up all decimal ) 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 About how many pounds are there in 15 kilograms? 20 25 30 33 - ✔-D. 33 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% Subtract 4/7 - 1/5 =
13/35 11/14 3/7 3/5 - ✔-13/35 Divide 92 / 11 = 8 r3 8 r4 8 r7 9 r1 - ✔-8 r4 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 What is 15 percent of 95? 14.25 18.5 24.25 28.5 - ✔-14.25 Solve for x. 4:6 :: 120:x 124 144 140 180 - ✔-D. 180 Divide and simplify: 45/8 / 11/2 = 41/24 323/24 31/12 31/16 - ✔-C. 31/12 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 How many feet are in 6 meters? 1.83 feet 18.48 feet 18.8 feet 19.68 feet - ✔-D. 19.68 feet . 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 Express 4/5 as a percent. 20% 40% 50% 80% - ✔-80% How many quarts are there in 4 gallons (Enter numeric value only.) ________. - ✔-16 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 Add and simplify: 1/2 + 1/4 + 1/6 = 11/24 11/12 3/4 5/6 - ✔-11/12 What is 120% of 20? 24 44 140 180 - ✔-24
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 What percent of 84 is 126? 102% 120% 150% 175% - ✔-C. 150% 126 x 100= 12,600 12,600 devided by 84 = 150 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 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 Multiply and express in lowest terms: 12/3 X 31/2 = 32/3 41/6 51/3 55/6 - ✔-D. 55/6 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%
How many millimeters are there in 25 centimeters? __________ - ✔-250 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 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 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 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 How many teaspoons are there in 3 tablespoons? 9 teaspoons 10.5 teaspoons 12 teaspoons 18 teaspoons - ✔-A. 9 teaspoons 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 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: 1/3 + 1/4 + 1/5 = - ✔-=(47/60) find lcd for each fraction then add Write down date 2007 in Roman numeral - ✔-MMVII If the temperature is 41o on the Fahrenheit scale, what is it on the Celsius scale? - ✔-5⁰ find ratio of 6:16 - ✔-multiply both sides of the original ratio by 35 will give =210:560 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 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 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 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 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% 15 is 20% of what number? a. 3 b. 45 c. 75 d. 300 - ✔-C Think .20x=15. Solve: x=15÷.20 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. Which numeric system was a base 20 system - ✔-The Mayan systen is based on 20 Babylonian system is based on 60 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 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 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 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% How many liters are the in 500 mililiters? - ✔-0.5 mililiters One mililiters=0.001 liters, so 500 mililiters=0.5 liters A plan 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 measurements 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 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? 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 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
Express the ratio 6:7 as percent - ✔-=86% Think 6 devided by 7 =0.857142 and round to the nearest 100ths =86% 1776 in Roman numeral - ✔-=1000=M 700=DCC 70=LXX 6=VI If the outside temperature is 15 degrees on the Celsius scale , what is the appropriate temperature in the Fahrenheit scale? - ✔-59 F ⁰ Formula is = (C *1.8) + 32= F = (15*1.8) + 32 = F = 27 + 32 = F = 59 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 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 Express 85% as a fraction in the lowest term - ✔-17/20 85%=85/100 devide by 5/5=17/20 176 is 88% of what number? - ✔-=200 Since 88 is 88% of 100, twice 88, or 176, must be 88% of 200 Of the 300 patients receiving a placebo , 60% showed improvement in their symptoms. How many patients showed no improvement ? - ✔-1=20 IF 60% showed improvement , 40% did not. 0.40 x 300= 120 How many cups are there in 2 gallons? - ✔-There are 16 in a gallonand 32 cups in 2 gallons 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
15 is 20% of what number? - ✔-=75 Think :0.20x =15 . Solve : for x= 15 divided by 0.20. The answer is 75 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 many pounds are there in 8 kilograms? 17.6 kilograms - ✔-I f 1 kilogram is 2.2 pounds, 8 kilograms equal 2.2 x 8= 17.6 MDXVI - ✔-Reading from left to right M= 1,000 , D= 500, X=10 and VI=6 making it 1516 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 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 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 How many milimiters are there in 25 cm? - ✔-=250 One cm = 10 mm So 25cm x10mm= 250 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 = 15 FT 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 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 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% 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 Divide 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 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 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 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 How many liters are there in 2,500 mililiters? - ✔-2.5 liters 1,000 ml = 1 liter 2,500 mililiter =2.5 liters Express the ratio 13:60 as a percentage - ✔-22% Percentages are essentially ratios were the second number is 100. Divide 13 by 60 to find decimal equivalent : 13 devided by 60 to find a decimal equivalent. 13 devided by 60=0.21666666, which rounds to 22% Subtract and simplify 4/10 and 1/4 - ✔-=3/20 Find the least common denominator and subtract : 8/20 -5/20 = 3/20 If a helicopter flies at about 80 mph , how long will it take to travel? - ✔-=1 hour and 45 minutes Think of this as a proportion: 1 hour/80 miles=x hours/140 miles. Cross multiply to solve:140= 80x ; x= 140/80. or 1.75 hours. which equals 1 hour and 45 minutes The plans for a flower garden show that it is 6 inches wide on the plan. If the scale for the flower garden is 1:12, what is the actual width of the flower garden? - ✔-First, write the proportion. 1:12=6:x Next, put the proportion in fraction form. 112=6x Then, cross multiply to solve for x. 1121xx===6x12×672 The answer is 72. The actual width of the flower garden is 72 inches. Convert 5 3/4 to a decimal. Round to the nearest tenth. A. 5.75 B. 5.7 C. 5.8 D. 6 - ✔-C. 5.8
A warehouse worker ships 25 boxes each day. Every box contains 3 shipping labels. Inventory has 500 shipping labels. How many days will it take to use the inventory of shipping labels? Round to the nearest whole. A. 7 days B. 8 days C. 20 days D. 6 days - ✔-A. 7 days Ratio and proportion. 6:10::24:x A. 40 B. 25 C. 240 D. 4 - ✔-A. 40 A class of 25 students has 44% of boys. How many boys are there? A. 10 boys B. 11 boys C. 9 boys D. 13 boys - ✔-B. 11 boys 3.44 divided by 0.6 A. 0.57 B. 5.73 C. 11.41 D. 2.33 - ✔-B. 5.73 Solve if x=11. x+44/2x A. 55/22 B. 33 C. c D. 13 - ✔-D. 13 Solve for x. x/250=3/500 A. 1.5 B. 2.5 C. 1500 D. 25.5 - ✔-A. 1.5 A dice is rolled. What is the probability of getting 5?
A. 20% B. 50% C. 16.6% D. 83.3% - ✔-C. 16.6% Convert to metric: 7 gram = x mg A. 700mg B. 0.007 mg C. 7,000 mg D. 0.0007 mg - ✔-C. 7,000 mg Sally eats 3/5 of her lunch. John eats 75%. Who ate more? A. John B. Sally - ✔-A. John How many ounces in 8 & 1/4 pints? A. 136 oz B. 128 oz C. 132 oz D. 2.25 oz - ✔-C. 132 oz A farmers productions statistics finds that it takes 2 chickens to produce 6 eggs in 24 hours. How many chickens will be needed to produce 24 eggs in 24 hours? A. 12 chickens B. 4 chickens C. 3 chickens D. 8 chickens - ✔-D. 8 chickens Add 7/8 + 9/10 + 6/5 as mixed. A. 3 & 39/40 B. 3 & 22/23 C. 22/23 D. 2 & 39/40 - ✔-D. 2 & 39/40 A mother changes her baby 6 times a day. How many diapers will be needed in a year? A. 2190 diapers B. 2100 diapers C. 2160 diapers D. 2140 diapers - ✔-A. 2190 diapers
A dice is rolled, what's the probability of an odd number? A. 16.6% B. 33% C. 75% D. 50% - ✔-D. 50% 32 divided by 8/9. A. 4 & 1/9 B. 4 C. 36 D. 28 & 4/9 - ✔-C. 36 Ratio and proportion 0.1:10::x:400 A. 5 B. 4 C. 50 D. 25 - ✔-B. 4 A cake provides 24 servings. How many cakes do you need for a class of 70 and staff of 3? A. 4 B. 2 C. 5 D. 3 - ✔-A. 4 A female ran a 24 mile course. Her first 6 miles she ran in 1 hour. The second set of 6 miles in 1.2 hours. The third set of 6 miles in 1.5 hours. The fourth set of 6 miles in 1.6 hours. How did long did it take her to complete the course? A. 5 hours B. 5.3 hours C. 4 hours D. 5.4 hours - ✔-B. 5.3 hours What is 54% of $789.56 A. $526.38 B. $426.37 C. $363.20 D. $426.36 - ✔-D. $426.36
1/9 divided by 2/3 A. 1/6 B. 2/3 C. 3/18 D. 1/3 - ✔-A. 1/6 How many liters in 300 milliliters? A. 0.03 liters B. 3 liters C. 0.3 liters D. 3.30 liters - ✔-C. 0.3 liters Ratio and proportion 18:x::10:300 A. 16.6 B. 180 C. 30 D. 540 - ✔-D. 540 Find x. 120:x::40:0.5 A. 60 B. 0.167 C. 1.5 D. 16 - ✔-C. 1.5 5 & 3/4 divided by 1/2 reduce. A. 5 & 1/2 B. 2 & 3/8 C. 18 D. 11 & 1/2 - ✔-D. 11 & 1/2 Ratio and proportion 1.2:x::14:42 A. 2.4 B. 0.6 C. 1.2 D. 3.6 - ✔-D. 3.6 Find x 40:5=60:x A. 12 B. 7.5
C. 1.5 D. 8 - ✔-B. 7.5 If quotient is 4, and 12 is the dividend, what is the divisor? A. x B. 12 C. 4 D. 3 - ✔-D. 3 Change 0.26 to a fraction A. 13/50 B. 26/100 C. 7/8 D. 2 & 6/10 - ✔-A. 13/50 Multiply 4/9 x 1 & 4/5 x 2/5 A. 1 & 32/45 B. 7/16 C. 8/25 D. 1 & 10/19 - ✔-C. 8/25 Compare 0.045 is _____ to 0.054 A. Greater than B. Less than C. Less than or equal D. Equal - ✔-B. Less than Change 0.025 to a ratio A. 400:1 B. 4:1 C. 1:40 - ✔-C. 1:40 Change 0.004 to a ratio A. 1:250 B. 1:125 C. 4/1000 D. 2/500 - ✔-A. 1:250 Largest?
A. 3/8 B. 3/7 C. 3/9 D. 3/6 - ✔-D. 3/6 Subtract 3/5 - 2/7 A. 1/2 B. - 1/2 C. 3/35 D. 11/35 - ✔-D. 11/35 Covert 1/5 to a decimal. A. 1.5 B. 0.5 C. 0.15 D. 0.2 - ✔-D. 0.2 Largest? A. 0.667 B. 0.68 C. 0.6 D. 0.0688 - ✔-B. 0.68 A man is reading. He reads two chapters a day. How long will it take if there are 6 pages per chapter and 798 pages total? A. 66 & 1/2 B. 399 C. 75 & 1/2 D. 133 - ✔-A. 66 & 1/2 A label states 1 mil contains 500 mg. How many mils if there are 1.5 grams? A. 9 B. 2 C. 3 D. 5 - ✔-C. 3 A mother is planning a birthday part. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does the mother need if there will be 16 children?
A. 17 B. 5 C. 6 D. 50 - ✔-B. 5 Jeff walks 5 miles west then turns north and walks 8 miles. How many miles has he walked? - ✔-13 Julie picks 26 tomatoes from the tomato plants in her garden. She gives 7 to her next door neighbor and 3 to her best friend. How many does she have left? - ✔-16 Jan is preparing an exam for 29 students. Each student will have 30 questions, with no student have duplicate questions. How many questions will Jan need to prepare? - ✔870 John is ordering lunch for the volunteers in the hospital. There are 12 units in the hospital, with 15 volunteers in each unit. How many lunches does John need to order? ✔-180 Divide: 132 ÷ 11 = - ✔-12 Divide: 5,024 ÷ 8 = - ✔-628 There are 225 pieces of candy in a large jar. Ben wants to give the 25 campers in his group an even amount of candy. How many pieces of candy will each camper receive? ✔-9 Edie has 132 tulip bulbs. She wants to plant all of the tulip bulbs in 12 rows. How many bulbs should she plant in each row? - ✔-11 Solve: 8.5 + 7.55 + 14 = - ✔-30.05 Solve: 18 - 7.55 = - ✔-10.45 Bill has 2.5 vacation days left for the rest of the year and 1.25 sick days left. If Bill uses all of his sick days and his vacation days, how many days will he have off work? - ✔3.75 Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left? - ✔-2.5 Solve: 0.1364 x 2.11 = - ✔-0.287804 Solve: 8.23 x 4 = - ✔-32.92
Jenny lost 3.2 lbs each month for 6 months. How many pounds has Jenny lost? - ✔19.2 Richard wants to make 2.5 batches of sugar cookies. One batch calls for 1.75 cups of sugar. How many cups of sugar will Richard need for 2.5 batches of cookies? - ✔-4.375 Solve: 144 ÷ 0.6 = - ✔-240 Solve: 0.72 ÷ 0.8 = - ✔-0.9 Solve: 0.132 ÷ 0.11 = - ✔-1.2 Stewart has 56 acres of land. He wants to divide the land into plots of 0.25 acres. How many plots of land will Stewart have after he divides the 56 acres? - ✔-224 Solve: 1/12 + 5/12 = - ✔-1/2 Solve: 5/7 + 3/14 = - ✔-13/14 Solve: 5 2/9 + 1 2/9 = - ✔-6 4/9 Mary is going to make a birthday cake. She will need 1 2/3 cups of sugar for the cake and 2 1/2 cups of sugar for the frosting. How many cups of sugar will Mary need for the frosted birthday cake? - ✔-4 1/6 Greg is installing crown molding on two sides of a room. The length of one wall is 11 3/4 feet. The length of the other wall is 13 7/8 feet. How much crown molding will Greg install in the room? - ✔-25 5/8 Solve: 17/25 - 3/5 = - ✔-2/25 Solve: 15 7/18 - 3/9 = - ✔-15 1/18 Alan is making a table. The table will be 6 1/2 feet long and 4 feet wide. The board for the table is 7 7/8 feet long and 4 feet wide. How much of the board will Alan need to cut off? - ✔-1 3/8 McKenna has 1 2/3 cups of milk. She gives Mark 3/4 cup of milk to make a cake. How much milk will McKenna have left? - ✔-11/12 Solve: 7/9 x 1/9 = - ✔-7/81 Solve: 6 x 4/5 = - ✔-4 4/5
Solve: 3 1/3 x 2 = - ✔-6 2/3 Solve: 1 8/12 x 4 1/2 = - ✔-7 1/2 Alec has six friends who each give him 2 3/4 pieces of gum. How many pieces of gum does Alec have now? - ✔-16 1/2 Solve: 7/8 ÷ 1/6 = - ✔-5 1/4 Solve: 2 1/4 ÷ 1/4 = - ✔-9 Solve: 10 ÷ 3 1/3 = - ✔-3 Danny has 11 1/4 cups of chocolate syrup. He is going to make chocolate sundaes for his friends. Each sundae will have 3/4 cup of chocolate. How many sundaes can Danny make? - ✔-15 Change the following fraction into a decimal and round to the nearest thousandth: 2/5 ✔-0.4 Change the following fraction into a decimal and round to the nearest thousandth: 1 1/2 - ✔-1.5 Change the following fraction into a decimal and round to the nearest thousandth: 2 7/8 - ✔-2.875 Change the following decimal into a fraction and reduce to the lowest common denominator: 0.08 - ✔-2/25 Change the following decimal into a fraction and reduce to the lowest common denominator: 0.025 - ✔-1/40 Change the following decimal into a fraction and reduce to the lowest common denominator: 0.3 - ✔-3/10 Change the following fraction into a ratio: 22/91 - ✔-22:91 Change the following fraction into a ratio: 19/40 - ✔-19:40 Solve for x. 7:5 :: 91:x x = - ✔-65
Solve for x. 7:9 :: x:63 x = - ✔-49 Solve for x. x:15 :: 120:225 x = - ✔-8 Solve for x. 15:x :: 3:8 x = - ✔-40 Solve for x. 360:60 :: 6:x x = - ✔-1 Solve for x. x:81 :: 9:27 x = - ✔-27 John buys 3 bags of chips for $4.50. How much will it cost John to buy five bags of chips? - ✔-7.50 The recipe states that 4 cups of sugar will make 144 cookies. How many cups of sugar are needed to make 90 cookies? - ✔-2.5 Change the following decimal to a percent: 0.98 - ✔-98% Change the following decimal to a percent: 0.0068 - ✔-0.68% Change the following percent into a decimal: 76.3% - ✔-0.763 Change the following percent into a decimal: 0.03% - ✔-0.0003 Change the following fraction to a percent: 9/10 - ✔-90% What is 15 out of 75 as a percent? - ✔-20% What is 2 out of 50 as a percent? - ✔-4% What is 20 out of 100 as a percent? - ✔-20% What is 28% of 100? - ✔-28
What is 15.5% of 600? - ✔-93 The number 2 is 20% of what number? - ✔-10 The number 65 is 25% of what number? - ✔-260 The number 9 is 20% of what number? - ✔-45 The number 44 is 25% of what number? - ✔-176 Change the following fraction to a percent:1/2 - ✔-50% Change the following fraction to a percent: 1/4 - ✔-25% Change the following fraction to a percent: 3/4 - ✔-75% Change the following fraction to a percent: 1/5 - ✔-20% Change the following fraction to a percent: 2/5 - ✔-40% Change the following fraction to a percent: 3/5 - ✔-60% Change the following fraction to a percent: 4/5 - ✔-80% Change the following fraction to a percent: 1/8 - ✔-12.5% Change the following fraction to a percent: 3/8 - ✔-37.5% Change the following fraction to a percent: 7/8 - ✔-87.5% Change the following fraction to a percent: 1/3 - ✔-33.3% Change the following decimal to a percent: 0.50 - ✔-50% Change the following decimal to a percent: 0.25 - ✔-25% Change the following decimal to a percent: 0.75 - ✔-75% Change the following decimal to a percent: 0.20 - ✔-20% Change the following decimal to a percent: 0.125 - ✔-12.5% Change the following decimal to a percent: 0.375 - ✔-37.5%
Change the following decimal to a percent: 0.333 - ✔-33.3% Change the following decimal to a percent: 0.666 - ✔-66.6% Change the following fraction to a decimal: 1/3 - ✔-0.333 Evaluate the following expression: xm - 2m if x = -2 and m = -3 - ✔-12 Evaluate the following expression: 2abc - 3ab if a = 2, b = -3 and c =4 - ✔--30 Evaluate the following expression: -x(y + z) if x = 4, y = -3, z = -5 - ✔-32 Evaluate the following expression: -k + h + kh if k = -5 and h = -2 - ✔-13 Solve for x: -2x - 2 = 14 x = - ✔--8 Solve for y: 2y + 3 = 12 y = - ✔-4.5 Solve for m: - 5 = 6m - 1 m = - ✔-- 2/3 dividing fractions example - ✔-Ex) (8/9) / (5/12) 1. Invert the 2nd fraction EX) (8/9) / (12/5) = 2. Look for common multiples and cross cancel (no common multiple between 8 and 5) (common multiple between 9 and 12 is 3) 3. Rewrite the new fractions after cross cancelling EX) 8/3 * 4/5 4. Multiply all numerators 8 x 4 = 32 & Multiply all denominators 3*5 = 15 = 32/15
4. Look to convert to mixed number and reduce to lowest terms - Convert to Mixed Number - No need to reduce to lowest terms EX) 32/15 = 2 2/15 To convert centimeters (CM) to inches (IN) - ✔-Multiply CM by 0.394 To convert inches to centimeters - ✔-multiply inches by 2.54 To convert Kilograms (kg) to pounds (lbs) - ✔-Multiply the kg by 2.2 To convert pounds to kilograms - ✔-Multiply the lbs by 0.454