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A comprehensive set of practice questions and detailed solutions for the ftce general knowledge mathematics exam. It covers a wide range of mathematical concepts, including algebra, geometry, statistics, and problem-solving. Designed to help test-takers prepare for the exam by providing them with an understanding of the types of questions they can expect and the strategies they can use to solve them.
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The length of a deck is 5 less than twice the width with a perimeter of 62 feet. What is the width of the deck rounded to the nearest tenth? A. 12. B. 12. C. 12. D. 13.1 - Correct Answers โ A. 12. This question is asking you to find the perimeter. Perimeter is the result of ADDING all the sides of the shape. In this case, we have a rectangular deck. The length is 5 less than twice the width, which is written 2w-
2w-5 + 2w-5 + w +w= 6w - 10 = Solve the equation by adding 10 to each side: 6w -10 = 6w = 72 Divide each side by 6: w = 12 Left and right side of the rectangle- w Top and bottom of the rectangle- 2w-
correct choice should be greater than or equal to (>_), and that makes D the correct choice. Of the following, which number is greatest? -12, - 10, -21/2, -Square root 145 A. - B. - C. -21/ D. - square root 145 - Correct Answers โ D. - square root 145 Pay attention to the negative numbers here. -10 is greater than any of the other numbers: -12, -21/10 = - 10.5, - square root 145 = -12. Put the following in order from least to greatest.
D. 30%, 1/3, 3/4, .8 - Correct Answers โ D. 30%, 1/3, 3/4,. To put these numbers in order, convert them to decimals: 30% becomes .30, 3/4 becomes .75, 1/3 becomes. repeating, and .8 becomes .80 (same .8). The order should be .30 (30%), .33 (1/3), .75 (3/4), .80 (.8). My husband was your cell phone plan were each responsible for half the bill. The monthly base charge for service is $82. On top of the base charge, their dirty chargers, which each person is responsible for
she gets to choose from the box, which was filled 3 mints and 4 cookies. What is the probability she picks mint? A. 1/ B. 4/ C. 3/ D. 3/7 - Correct Answers โ D. 3/ Use fractions for probability. Put the selected over the total. Because there are 3 mints out of 7 items in the treasure chest, the fraction is 3/ On a trip from Naples to Tallahassee, a car travels a total of 500 miles at a rate of 55 mph. If the car gets 22 miles per gallon, how many gallons of gas will be consumed in 5 hours?
A. 7.0 gallons B. 10.0 gallons C. 12.5 gallons D. 14.0 gallons - Correct Answers โ C. 12.5 gallons There is extra information in this question that you do not need. The question is asking how many gallons will be burned in 5 hours, not the entire trip. Therefore, the 500 miles is irrelevant information. Use the formula S = D/T ( speed equals distance over time). The speed is 55, the time is 5 hours. Solve for D. 55 = D/ D= 275
A. 13 1/2 lbs B. 12 1/2 lbs C. 12 3/4 lbs D. 13 3/4 Ibs - Correct Answers โ D. 13 3/4 Ibs Convert the weight of the textbooks to ounces. There are 16 oz in 1 lb. Therefore, 2 1/2 lbs is 40 oz. Multiply 5 times 40 ( the textbook) and 5 times 4 ( the notebooks). That gives you 200 and 20, respectively. Together, the books and notebooks weigh 220 total oz. Divide 220 by 16 to convert the oz to lbs, which equals 13.75 or 13 3/4. An Artist used a piece of wire that was 4 feet and 8 inches long and bent it into a square. What is the area of the square? A. 57 in squared
B. 112 in squared C. 196 in squared D. 212 in squared - Correct Answers โ C. 196 in squared Convert the 4 ft 8 in into inches, which is 56 in. A square has four equal sides, so divide 56 by 4, which gives you
A. 60 miles B. 120 miles C. 180 miles D. 240 miles - Correct Answers โ B. 120 miles If he goes 60 mph, he arrives an hour early. If he goes 30 mph, he arrives an hour late. That is a two hour difference in time. Use your answer choices to solve. 120 miles is the only answer that has a two hour difference. 120 miles/60 mph=2 hours 120 miles/30 mph=4 hours You and some friends decide to play a game of frisbee. Person a start by throwing the frisbee 3 meters forward. Person be throws the frisbee and a gust of wind takes it 5 meters backward. Person C throws the frisbee 2 meters forward. Finally, person D throws the frisbee up in the air and it travels 1 meter forward. Where is the frisbee in relation to the start?
D. 3 - Correct Answers โ C. 1 Use a number line to answer the question. Start at zero and add or subtract based on the question. Tony is shipping two boxes. The first box has dimensions of 2 inches x 8 inches x 6 inches. The second box has dimensions 6 inches x 8 inches x 10 inches. He puts both boxes into a third box with dimensions of 12 inches x 12 inches x 12 inches. How much empty space is left in the third box? A. 576 in^ B. 872 in^ C. 1,156 in^ D. 1,728 in^3 - Correct Answers โ C. 1,152 in^ Volume is height x length x width. So you find the volume for the first two boxes and then add those numbers together. Then you find the volume for the box they are
When you set up proportions, just make sure everything matches. In answer choice B you have the number of pens over the price. So the equal proportion should be the number of pens over X (the number you are trying to figure out) Person one in person to each have annual salaries of $24,000. At the end of the year, they net a gross income of $56,000. Any monies collected after their salary is the result of a return on investments. What fraction of the years total income is from investments? A. 1/ B. 1/ C. 6/ D. 3/8 - Correct Answers โ A. 1/ To simplify it, just take out the zeros. So together the couple makes 48 in income. Their gross income is 56. So subtract 48 from 56 and you get 8. So that means that 8 comes from investments. Put 8 over the total and you get 8รท56. That is the same as 1รท7.
Company AAA is hiring for many positions shown below in the salary chart. Given the information, what would be the best measure of central tendency the company a would advertise to make the salary options look the best? Salary/Year $15k. $20k. $35k. $100k $150k Positions open 1. 4. 7. 1. 1. A. Mean B. Median C. Mode - Correct Answers โ A. Mean For mean median and mode problems where there are many numbers, try process of elimination. Also do not factor in the zeros to make the problem simpler. You have 14 salaries, one 15, four 20s, seven 35s, one 100, and one 150. The number 35 is going to be the mode because it comes up the most. 35 is also the median. You can eliminate B and C, therefore your answer is A. The range of teacher salaries is $40,000-$60,000. During negotiations, the teachers union worked out a deal for a flat rate of $1000 for every teacher. Which of the following is true?
possibilities are there when making two choices with the first being a red marble? A. 2 B. 3 C. 4 D. 5 - Correct Answers โ B. 3 If the first choice has to be read every time, there are only three possibilities. Red followed by a blue, yellow, or green. I just realized that there are four total marbles. If you take one out (the red one) then there are three left. Therefore, there are only three possibilities Which of the following choices falls between 0 and 2? A. -4.037 x 10^ B. 4.037 x 10^ C. -4.037x10^-
D. 4.037x10^-3 - Correct Answers โ D. 4.037x10^- If you are multiplying a number times 10 to a certain power, you just move the decimal spot however many numbers the exponent is. So for this answer choice, you move the decimal three places to the left since it is a -3. 4.037 x 10^- move the decimal to the left 3 spots and you get . This number is between 0 and 2. Classify the following: 3x + 2y = 6 -2x + 3y = 12 A. Parallel