FTCE K-6 Subject Area MATH Exam Questions and Answers, Latest Updated 2024/2025 (100% CORRECT)

Simplify the expression (-9)(-3)-[4-(3-6)]: 20 2. What is the prime factorization of 30 (Answer) 2 x 3 x 5 3. Four students were shopping at a mall. Lisa purchases a $20.00 shirt at 10% off. Tim purchases a $20.00 shirt at 20% off. Tina purchases a $25.00 at 40% off. Joe purchases a $25.00 shirt at 30% off. Who paid the most for the shirt (Answer) Lisa 4. A group of students are working on a project. They complete 30% of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project (Answer) 40 Hours FTCE K-6 Subject Area MATH Questions and Answers 2024/2025 (Verified Answers) | 100% CORRECT 2 / 31 5. A group of volunteers are clearing brush away from an overgrown park. The park covers 3 1/4 acres. If the group clears 1/2 acre every 4 days, how many days will it take them to clear the entire park (Answer) 26.0 6. Two students start at the same point and run in opposite directions. The first student runs 10 feet per second to the left for 8 seconds. The second student runs 8 feet per second to the right for 7 seconds. How many feet apart are the two students after they both stop (Answer) 136 feet 7. A recipe for 24 oz hamburger will make 8 oz serving of chili. How many ounces of hamburgers will be needed to make 28 servings of chili (Answer) 84 8. Which of the following expressions gives the solution to the statement below? A recipe for making 2 dozen cookies requires 3/4 cup of sugar. To make 6 dozen cookies, how much sugar is needed (Answer) 3 x 3/4 = 2.25 9. A pair of baseball team competed 2 innings of a game in 28 minutes. If the game continues at the same pace, how many minutes will it take to complete a 9 inning game (Answer) 126 minutes 3 / 31 10. A person who weighs 168 pounds on Earth would weigh 28 on the moon. How many pounds would a 30-pound on Earth weigh on the Moon (Answer) 5 11. The following stem and leaf plots shows the best temperatures of 25 healthy adults. What is the median temperature of the adults in this data set? 96: 9 97: 00129 98: 99: 0011: 98.5 degrees Fahrenheit 4 / 31 12. The following measurements show the rainfall in Center City over the course of a week 4 cm, 5 cm, 4 cm, 0.1 cm, 0.25 cm, 0 cm, 2 cm If the chamber of commerce would like to portray Center City as a city of low rainfall, the best statistical measure to advertise would be: Median 13. A homeowner decides to install a swimming pool in her backyard. The pool has a volume of 1000 cubic feet. Given that one cubic foot has a capacity of about 7.48 gallons, how many gallons of water does the pool hold (Answer) 7,480 gallons 14. A student travels m miles to visit a family member during a holiday vacation. If it takes the student 5 hours to arrive, which of the following expressions represents the average rate of speed, in miles per hour that the student traveled (Answer) m/5 15. To estimate the fish population in a lake, a game warden caught and tagged 200 fish. After several months, the game warden caught a sample of 80 fish and 25 of those had been tagged. What would be a reasonable estimate for the fish population in the lake (Answer) 640 5 / 31 16. A family is adding a walkway around their 12 foot by 8 foot rectangular swimming pool. Because of existing shrubbery, the total area of the project including the pool cannot exceed 190 square feet. How many square feet are left for the walkway (Answer) 94 ft^2 17. Find the greatest common factor of 36, 135, 144: 9 18. Together, four students wrote a 60-page book. Sean wrote 1/4 of the book. Sara wrote 1/3 of the book, and Jermaine wrote 1/6 of the book. What fraction represents the portion of the book that Maria wrote (Answer) ¼ 19. The temperature in northern Minnesota at 6.00 p.m. was 5 degrees below zero. By 7:00 p.m., the temperature had dropped another 3 degrees. What was the temperature at 7:00 p.m. (Answer) -8 degrees -5-3 = -8 20. A 3/16 section of a 40 acre garden is planted with green beans. Twice as much of the garden is planted with carrots. How many acres of the garden are planted with carrots (Answer) 15 acres 3/16 = 7.5 * 2 =15 21. Which of the following statements is true about this set of numbers? (4,16,12,8,14,6): The mean is the same as the median 6 / 31 22. The total distance covered by 2 bikers during the first 21 minutes of a race are shown in the following graph. How long after the start of the race did one biker pass the other (Answer) 11 min EMAIL ME: For help with report, Assignment, Essay and thesis writing 7 / 31 23. During a certain time perios, 2,000,000 oz of gold was produced in the United States. Use the following graph to determine the amount of gold produced in Arizona and Colorado. [Arizona 8%, Colorado 5%]: 260,000 8+5 = 13*2,000,000 24. The smallest state in the United States is Rhode Island, which measurement is closest to the area of Rhode Island (Answer) 3000 square kilometers 25. A family drove their car on a vacation last summer. In the first 8 hours, they traveled 500 miles. Due to the traffic and construction, they were only able to drive 300 miles in the next 6 hours. How much greater was their average speed in the first part of the trip than the second part of the trip (Answer) 12.5 miles per hour 500/8 - 300/6 = 12.5 26. An individual working for a certain company earned an hourly rate of $18.50 for the first 40 hours of work per week plus 1.5 times the hourly rate for each hour more than 40 hours. How much money will the individual earn for working 48 hours in a week (Answer) $962 27. To complete a quit design, Dehlia needs two sets of right triangles. The first set has sides with lengths of 3 inches, 4 inches, and 5 inches. If the length of each side of the larger pieces is double the length of the shorter pieces, how much greater will the area of the larger pieces be than the area of the smaller pieces (Answer) 4 times 28. A giant coordinate grid is painted on the playgroup at an elementary school. A student starts a point (-9,8). She walks in a straight horizontal line and then stops. Which point could she be at now (Answer) (9,8) 29. Find the sum of the angle measures of the interior angle of the octagon 8 / 31 below: 1080 n-8 * 180 = 1080 30. A pharmacist has 14 gm of aspirin he needs to add 50 mg of each capsule of a cold medicine. How many capsules can he make (Answer) 280 31. The altitude to the base of an isosceles triangle is 6. If each of the equal sides measures 10, find the length of the base.: 16 32. What is the total measure of the interior angles of the geometric shape?- : 180 33. Which equation illustrates the additive inverse of property (Answer) -10a + 10a = 0 34. A student types 3750 words report in 1 hour & 15 min. Find his average words per minute (Answer) 50 wpm 3750/75 = 50 9 / 31 35. Which of the following letters is an example of point rotational symmetry (Answer) N 36. Ahmet is making a stem and leaf plot of the high temperatures for the past week. He recorded the temperatures as follows 4 0 5 25668 7 2 Which temperature would be considered an outlier for the data given (Answer) 40 37. A calculator using scientific notation would display 0.000507 as which: - 5.07 x 10^-4 38. A sweater sells for $28. If it is on sale for 35% off, how much will be taken off the original price (Answer) $9.80 39. Which graph represents a solution set of this inequality? 2x-5>13: X>9 40. Calculator using scientific notation will display 3,200,000 as which of the following (Answer) 3.2 x 10^6 41. The perimeter of an isosceles triangle is 32 units. The length of the base is 8 units. What is the length of one of the equal sides (Answer) 12 inches 42. The outside edge of the deck in which a 16' x 40' rectangular pool is centered measures 32' x 56'. To purchase the right amount of sealant for the dark area, Ms. Santia wants to determine the are of the decking. What is the are of the deck (Answer) 1,152 sq st. 16*40 - 32*56 43. Estimate the length of a new pencil: 20 cm 10 / 31 44. Which equation illustrates the property of the identity element of addition (Answer) 3 + 0= 3 45. Gold mining in the US Dakota 29% Nevada 32% Utah 18% Colorado 5% Arizona 8% Other 8% During a time period 2,000,000 ounces of gold are produced in the U.S. Use 11 / 31 the above graph to determine the amount of gold produced in Arizona and Colorado: 260,000 oz 46. Given a rectangular solid as shown in the diagram, which formula is a correct representation for its total surface area (Answer) s = 2xz + 2yz +2xy 47. What is the 1st operation performed to simplify the following operation? 1/2 + 15/16 ------------/ 5/8 1-3/4: Subtract 3/4 from 1 48. Mr. Singh sells ground cinnamon. He has a 1.5 lbs bag. How many 8 oz. bags does he have (Answer) 3 1.5oz = 24lb/8 =3 49. The probability of newlyweds honeymooning out of state is 40%. What are the odds in favor of the couple staying in state for their honeymoon (Answer) 3:2