1 / 5

FCAT Mathematics Grade 10 Sample Test Answer Guide

FCAT Mathematics Grade 10 Sample Test Answer Guide 1. To determine the actual length of the dragonfly’s body, create a ratio comparing the diagrams to the actual. Then cross multiply to find the answer.

gallia
Download Presentation

FCAT Mathematics Grade 10 Sample Test Answer Guide

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. FCAT Mathematics Grade 10 Sample Test Answer Guide 1. To determine the actual length of the dragonfly’s body, create a ratio comparing the diagrams to the actual. Then cross multiply to find the answer. 1.5 in = X (0.75 in)(1.5 in) = (X)(0.25 in) 0.25in 0.75 in 1.125 in2 = 0.25X next divide both sides by 0.25 4.50 in = X 2. Similar triangles have corresponding angles that are the same measurement but the lengths of the sides are different. The sides are a ratio of each similar side (ex. Δ ABC may be ½ the size of Δ DEF) Imagine that triangle DEF is rotated to the left. You can then see that m< A = m<D m<B = m<E m<C = m<F 3. If the bolt is 5 inches in length and the wire is 0.1 in in diameter, then it will take 5 divided by 0.01 to find the number of turns it will take to cover the wire. 5 / 0.1 = 50 turns If it takes 3 seconds to make one turn then it will take 3 x 50 = 150 seconds to cover the bolt. 4.Refer to the FCAT Reference Sheet, besides the value of pi it also has the formula for the volume of a right circular cone. Since the formula is the volume of one cone the answer must be doubled for both cones. V = 2[⅓(3.14)(5 cm)2(12cm)] V = 628 cm3

  2. 5. If a satellite has the shape of a cube then all of the sides are the same length. Using the FCAT Reference Sheet you will find the formula for the Volume of a Rectangular Prism = lwh V = (5)(5)(5) = 125 cubic feet then each cubic foot weighs 24 pounds. Total weight of the satellite is 125 times 24 = 3000 pounds. 6. Given the two equations, you need to eliminate the variable of the carnations in order to find the cost of of the roses. Double the second equation then subtract it from the first equation. 20r + 34c = 504 20r + 34c = 504 20r + 34c = 504 15r + 17c = 327 30r + 34c = 654 -30r + -34c = -654 -10r = -150 divide both sides by -10 to find out that a dozen roses then costs 15 dollars 7. Part A An equation for the electrician’s job is: 145.50 = 3r + 45 Part B Solve the equation by subtracting 45 from both sides first 100.5 = 3r Divide both sides by 3 to find the electrician’s hourly rate. 100.5/3 = r $ 33.50 = r

  3. 8. Notice the second week of attendance is one half that of the first week. The third week is half of the second week, the fourth week is half that of third week, and if the pattern continues the fifth week will be half that of the fourth. week 5 attendance = 385 week 6 attendance = 192.5 Therefore, week 6 has the attendance below 200. 9. If the number of computers has increased ½ million during the years 1991 through 1995, then it increases 1 million from 1995 – 1996; it can be assumed that it will increase in the amount of 1 million for each year after that. Therefore, the number of computers can be estimated as more than 7.5 million by 2000. 10. The molecule that is the heaviest will be the one with the largest number. With scientific notation the exponent which has the greatest negative number means it is further from the whole number 1. Therefore, the heaviest molecule has the exponent closer to the exponent 1. salt = 0.000000000000000000000000000935 kg water = 0.00000000000000000000000002879 kg Hydrochloric acid = 0.0000000000000000000005832 kg Potassium Hydroxide = 0.000000000000000000000008976 kg Therefore the answer should be hydrochloric acid. 11. If -5 is multiplied by a number greater than 1 then you could test the results by multiplying by 2 then 3. Results are –10 and -15. Answers are increasing negative numbers which means they are moving to the left on a number line. The answer would be a number less than -5.

  4. 12. The percent decrease in pounds of glass needed to produce 100 bottles from 1972 to 1992 is the difference in the pounds used from 1972 to 1992 then compared to the original amount. 75.7 – 48 = 27.7 pounds then 27.7 divided by 75.7 = 0.3659 which is then multiplied by 100 = 36.59% if you find the percent difference from 1992 to 1972 48 divided by 75.7 = 0.634 If that is multiplied by 100 you get 63.4% of the amount being used currently. That amount must then be subtracted from 100 to get the answer 36.6%. 13. How many combinations of two can be made from a group of 6 students? Think about the fact that you have 6 students to choose from for the first person on a team, then you have 5 choices for the second member for the team. However, it does not matter which member is picked first, so you must divide by the number of members making up a team. This can also be determined by creating a tree diagram. Therefore you can form (6 times 5) divided by 2 = 15 possible teams. 14. The trip is Myron returning home so the two graphs that have Myron further from his home after 90 minutes should be eliminated from your choices. The graph A has the time of 90 minutes (1½ hrs) when Myron reaches his house. Graph B shows a time greater than 90 minutes. The answer is graph A. 15. Part A Two triangles are similar if their angles are congruent. m<A of ΔABC = m<A of ΔADE m<B = m<D and m<C = m<E and both triangles contain the <A. Part B The proportion that should be written is : AC = AE32 = 48 (48= 32 + 16) BC DE 14 X (DE = X) Part C This is solved by cross multiplying. 32X = (14)(48) 32X = 672 X = 21 miles

  5. 16. Probability The probability or chance of getting an even number on the first spinner is 2 out of 5 numbers. The probability of getting an even number on the second spinner is 3 out of 5 numbers. Therefore, the probability of getting an even number on both spinners is:2/5 x 3/5 = 6/25 17. Distance = (rate)(time) First, the total distance traveled was 4 miles and therefore would be the answer to an equation using rate. Eliminate the choices that has time as the answer. Since the current is going in the same direction as the boat’s movement, it helps the rate. So, the current and rate are added together. The answer is 4 = (r + c)1.5 18. If the areas of land are proportional then a ratio can be set up to find the missing dimension. 200 = 300 200X = (350)(300) X = 525 ft 350 X Square feet in parcel B is then (525 ft)(300 ft) = 157,500 sq. ft. 19. Refer to the FCAT Reference for the volume of a right circular cylinder. V = (3.14)r2h Plug in the information given. (15gal)(231 in3/gal) = (3.14)r2(24 in) 3465 in3 = 75.36r2 divide both sides by 75.36in 45.98 in2 = r2 take the square root of each side to find the radius 6.78 in = r

More Related