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FTCE General Knowledge Mathematics Practice Test
Questions and Answers (Verified Answers)
1. 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. ANS 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-5. And the width is just w. When you add up all the sides, you get; 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-
C. -21/
D. - square root 145 ANS - 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.
4. Put the following in order from least to greatest. 30%, 3/4, 1/3,.
A. 1/3, 3/4, .8, 30%
B. 1/3, .8, 3/4, 30%
C. 30%, 1/3, .8, 3/
D. 30%, 1/3, 3/4,.
ANS 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 .33 repeating, and .8 becomes .80 (same .8). The order should be .30 (30%), .33 (1/3), .75 (3/4), .80 (.8).
5. 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 individually. At the end of the month, the total bill comes to $120. If the husband is responsible for 60% of the data charges, how much does he owe for the month? A. $41. B. $38. C. $63. D. $79. ANS $63.
A. 1/
B. 4/
C. 3/
D. 3/
ANS 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/
7. 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 ANS 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
Divide 275 by 22 mpg, which gives you 12.5 gallons burned.
8. A triangle has interior angle measurements of 20 degrees, 50 degrees, and 110 degrees. Classify the triangle. A. acute scalene
A. 57 in squared B. 112 in squared C. 196 in squared D. 212 in squared ANS 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 14. Area is base times height, 14 x 14 = 196 in squared 4 ft 8 in = 57 in โโโโโโโโโโ 56 divide 4 = 14 All four sides of the square are 14 on the top and bottom. 14 on both sides. Area = base times height ( 14 x 14) = 196 in squared
11. Mr. and Mrs. Jones have five children. Two of the children are five years old. The median age is nine in the range of the ages is seven. Which is A possible age of the second oldest Morton child? A. 2 B. 4 C. 9 D. 14 ANS 9 We know the median is nine, so that number goes in the middle. The only place for the 25 V is before the nine. We do not yet know the age of the second oldest child or the age of the oldest child, but we do know the range is seven. The range is the biggest number minus the smallest. Therefore, if the range is seven and the smallest number is five, the last child is 12. The
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= hours 120 miles/ mph=4 hours
13. 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? A. - B. 0 C. 1 D. 3 ANS 1 Use a number line to answer the question. Start at zero and add or subtract based on the question. 14. 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^ ANS 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 being put inside of. Subtract the number of the first two boxes from the box they are going inside. Box 1: 2 x 8 x 6= 96 Box 2: 6 x 8 x 10= Add them=
8รท56. That is the same as 1รท7.
17. 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 ANS 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
- 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. 18. 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? A. Mean and median salary stay the same; standard deviation changes B. Mean and median salaries change; standard deviation stays the same C. Mean and median salaries change; standard deviation changes D. Mean and median salaries stay the same; standard deviation stays the same ANS Mean and median salary change; standard deviation stays the same Let's factor this without zeros. Let's say there are three teachers with salaries at 40, 50, and 60. The median of this set is 50 and the mean is 50. The standard deviation is 10 because there is a difference of 10 between each teacher. If I give everyone a raise of one, the set changes to 41, 51, and 61. Notice the mean and median changed to 51, but the standard deviation is still 10 because 41 to 51 is 10 just like 40 to 50 was 10 19. In a bag, there is one red marble, one yellow marble, one blue marble,
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
20. 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^- ANS 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. 21. Classify the following: 3x + 2y = 6 -2x + 3y = 12 A. Parallel B. Perpendicular C. Parallel and intersecting D. Concurrent ANS Perpendicular Use the
formula Y = MX + B That makes the lines: Y=-3/2x + 3 Slope=-3/ Y=2/3x +
