CASA MATH EXAM QUESTIONS AND ANSWERS 2023 (GRADED A+)

CASA MATH EXAM QUESTIONS AND ANSWERS 2023 (GRADED A+) In a class of 42 students, 18 are boys. Two girls get transferred to another school. What percent of students remaining are girls? - E. The entire class has 42 students, 18 of which are boys, meaning 42-18=24 is the number of girls. Out of these 24 girls, 2 leave; so 22 girls are left. The total number of students is now 42-2=40. 22/40*100=55% A payroll check is issued for $500.00. If 20% goes to bill, 30% of the remainder goes to pay entertainment expenses, and 10% of what is left is placed in a retirement account, then approximately how much is remaining? - B If out the entire paycheck, 20% is first taken out, then the remainder is 80%. Of this remainder, if 30% is used for entertainment, then (.8-.80*.30)=.560 is left. If 10% is put into a retirement account, then (.56-.56*.1)=.504 is remaining. So out of $500, the part that remains is 50%, which is $252. A painting by Van Gogh increased in value by 80% from last year 1995 to year 2000. If in year 2000, the painting is worth $7200, what was its value in 1995? - D In 2005, the value was 1.8 times its value in 1995. So 1.8 times its value in 1995. So 1.8x=7200~x=4000 "Dresses and Ties" sells a particular dress for $60 dollars. But, they decide to discount the price of that dress by 25%. How much does that dress cost now? - C 60*(100-25)/100~60*.75=45 A sweater goes on sale for 30% off. If the original price was $70, what is the discounted price? - B New price=original price*(1-discount)~new price=70(1-.3)=49 If test A is taken 5 times with an average result of 21, and test B is taken 13 times with an average result of 23, what is the combined average? - D Average of all tests=404/(5+13)=404/18=22.44 A set of data has 12 entries. The average of the first 6 entries is 12, the average of the next 2 entries is 20, and the average of the remaining entries is 4. What is the average of the entire data set? - B The sum of all the data points=72+40+16=128 The average=128/12=10.67 What is the average score of 8 tests where the score for 3 tests is 55, the score for two tests is 35, and the remaining tests have scores of 70? - E Average=(3*55+2*35+3*70)/8~Average=55.625 What is x^2y^3z^5/y^2z^-9? - C Which gives the answer x^2y^(3-2)z^(5+9)~x^2yz^14 What is k if (2m^3)^5=32m^k+1? - D-14 Expand (2m^3)^5 to give 32m^15 So 32m^15=32m^k+1~k+1=15~k=14 The number 568cd should be divisible by 2,5, and 7. What are the values of the digits c and d? - D-56840 If the number is divisible by 2, d should be even. If the number is divisible by 5, then b has to equal 0. Start by making both variables 0 and dividing by the largest factor, 7. Carla is 3 times older than her sister Megan. Eight years ago, Carla was 18 years older than her sister. What is Megan's age? - C-9 Carla's age is c; Megan's age is m. c=3m;c-8=m-8+18 Substitute 3m for c in equation 2~3m-8=m+10~m=9 What is the value of f(x)=(x^2-25)/(x+5) when x=0? - E-(-5) We know (x^2-25)=(x+5)(x-5) So (x^2-25)/(x+5)=x-5, At x=0, f(0)=-5 Four years from now, John will be twice as old as Sally will be. If Sally was 10 eight years ago, how old is John? - B-40 J+4=2(S+4). S-8=10~S=18 So J+4=2(18+4)~J=40 I have some marbles. I give 25% to Vic, 20% to Robbie, 10% to Jules. I then give 6/20 of the remaining amount to my brother, and keep the rest for myself. If I end up with 315 marbles, how many did I have to begin with? – A 12 inches - 1 foot 3 feet - 1 yard 5280 Feet - 1 Mile 1 inch - 2.54 centimeters 1 kilo - 1000 centimeters 1 meter - 100 centimeters 1 centimeter - 10 millimeters 1 gallon - 4 quarts 1 quart - 32 ounches 1 liter - 1000 millimeters 1 quart - 32 ounches 0.95 liters 1 cubic centimeter - 1 millimeter 1 pound - 16 ounces 1 gram - 1000 milligrams 1 ton - 2000 pounds 2.2 pounds - 1 kilogram 1 kilogram - 1000 grams 1 gram - 1000 milligrams supplementary angles - either of two angles whose sum is 180°. Standard Form - The standard form of an equation is Ax + By = C What is the probability of spinning a D on the spinner? - Experimental probability is a ratio of how many times the spinner will land on the specific number to the total number of times the spinner is spun. In this case, there are eight possible places where the spinner may land. The D is present only in one space, so the probability of landing there is 1 to 8 or 1/8. Which of the following are supplementary angles? 81° and 99° 90° and 15° 75° and 75° 80° and 10° 101° and 89° - Supplementary angles are two angles that equal 180° when added together. A car costs $25,000 plus $675 for tax, title, and license fees. Ari finances the car by putting down $2,500 in cash and taking out a 3-year loan at 4% simple interest. What will his monthly payments be? $722.50 $669.50 $640.00 $650.00