CITF Math for the Trades Past Paper - 12/11/2023

CITF Math for the Trades-12/11/2023 10:46 Created By Wayne Brumbaugh 1 Write the following number: ten thousand, four hundred and twenty-seven. 2 Identify the improper fraction. A 1 2 51 ​ B 5 6 ​...

CITF Math for the Trades-12/11/2023 10:46 Created By Wayne Brumbaugh 1 Write the following number: ten thousand, four hundred and twenty-seven. 2 Identify the improper fraction. A 1 2 51 ​ B 5 6 ​ C 52 1 72 ​ D 3 2 ​ 3 A truck delivers eight hundred and forty-seven studs to a job. Later that day, a second truck delivers an additional two hundred and twelve studs. How many studs were delivered that day? 4 Each office in an office building requires 21 pieces of ceiling tile. If there are 18 offices on each floor and there are 37 stories in the building, how much tile needs to be ordered? 5 1,518 ÷ 46 = 6 If insulation can be installed at a rate of 1,400 square feet per hour and 29,400 square feet needs to be installed, how many days will the job take? (Round to the nearest hundredth place if needed) 7 Simplify the fraction to its lowest terms. 14 16 ​ 8 Simplify the fraction to its lowest terms. 51 24 ​ 9 Add the following fractions. Provide the answers in their lowest terms. 3 3 + 10 10 ​ ​ 10 Find the common denominator for the following pair of fractions. 5 1 , 8 4 ​ ​ 11 Find the common denominator for the following pairs of fractions. 1 3 , 3 4 ​ ​ 1 1 12 Plywood generally can be purchased in thicknesses ranging from to 1 ". 4 8 ​ ​ 1 3 1 3 1 If a sheet of plywood of each thickness - , , , , 1", 1 - is stacked on top of each other, how thick would the stack be? 4 8 2 4 8 ​ ​ ​ ​ ​ 13 Subtract the following fraction and provide the answer in lowest terms: 8 4 − 12 12 ​ ​ 14 Subtract the following fraction and provide the answer in lowest terms: 11 1 − 16 4 ​ ​ 15 A two-man carpenter crew sets approximately 725 sq. ft. of concrete forms per day. 2 If they have completed of this amount, how many square feet of forming remain? 5 ​ 1 16 According to the label, a certain flooring adhesive covers 87 sq. ft. per gallon. 2 ​ 3 If 5 gallons are used, how many sq. ft. of floor were covered? 4 ​ Your answer should be as a fraction 17 Solve the following problem: 13 ∗ 16 16 ​ 18 Solve the following problem: 1 1 ÷ = 16 16 ​ ​ 3 19 A millwright takes 24 hours to align 11 pump shafts and motors. How much time will it take to align 6 more? 4 ​ Your answer should be as a fraction 20 Complete the following proportion: 63:21 ; 75:_______ 21 What number would finish the statement to create equivalent fractions? 5 40 = 6 ​ ​ x 22 Write the following number as a decimal. Nine hundredths 23 Write the following number as a decimal: Eighty-seven thousandths 24 3.6 + 4.7 +0.5 = 25 7.2 - 1.06 = 26 A contractor pays $6.45 per hour for every hour worked that month by his carpenter crew to the union benefit fund. If the contractor submitted a check for $3,928.05 for the past month, how many hours did his carpenter crew work? 27 4 ∗ 1.74 = 28 Round to the nearest hundredth if needed.65 ÷ 1.5 = 29 What is the total cost of purchasing 75 gallons of concrete sealer and 2 concrete sprayers if the sealer sells in 5-gallon containers at a cost of $109.75 each and the sprayers cost $104.59 each? 30 Convert the following decimal to a fraction. Provide your answer in lowest terms: 0.875 31 Convert the following fraction into a decimal. Round to the nearest hundredths if needed. 5 12 16 ​ 32 Convert the following percentage into a decimal. 79% 33 A flooring contractor is installing 47,440 sq. ft. of carpet at an office building project. His weekly report from the field shows 62.5% of the carpet has been installed to date. How many square feet of carpet have been installed? 34 Convert the following feet & inches to inches: 5'3'' = _________ inches 35 Convert the following yards to inches: 2 6 yards = 3 ​ 36 What is the value of pi to rounded to 4 decimal places? 37 If a triangle’s shorter legs are 3 ́ and 4 ́, what is the length of the longer leg? 38 Match the formula for calculating area to the correct shape. Answers may be used once, twice, or not at all. Square Triangle Circle DRAG & DROP THE ANSWER 1 π × r2 L × W a2 × b 2 = c2 2r × 4 b × h 2 ​ 39 1,500cm = ____________ meters 40 What is the area of a rectangular room 14 ́ × 9 ́? 41 What is the area of a triangle with a base of 17 ́ and a height of 9 ́? Round to the nearest tenth if needed 42 A carpeted floor has a circular insert of a contrasting color. If the diameter of the insert is 8 ́, what is the area of the insert? Round to the nearest hundredths if needed. 43 Match each term with the correct statement. Answer choices may be used once, twice, or not at all. Lines that are equal distances apart A horizontal line that is 90 degrees to the plumb line The perimeter of a circle DRAG & DROP THE ANSWER perpendicular parallel level radius cicumference 44 A plant contractor is tasked with installing a rectangular tank into a room measuring 5'X9'X9". The tank is 1.5m wide, 2.7m long, and 0.7m high. What is the volume, in cubic meters, of the tank being installed? Round to the nearest thousandths if needed. 45 34,991 cu. in. = _____________________ cu. yd. 46 Use the ruler below to answer the following questions. What is the measurement at A on the diagram? What is the measurement at B on the diagram? What is the measurement at C on the diagram? What is the measurement at D on the diagram? Answer Key of CITF Math for the Trades-12/11/2023 10:46 1. 10, 427 2. D 3. 1, 059 ; 1059 4. 13986 5. 33 6. 2.63 ; 2.625 7. 7 8 ​ 8. 2 1 8 ​ 9. 3 5 ​ ; 6 10 ​ 10. 8 11. 12 12. 4 13. 1 3 ​ ; 2 6 ​ 14. 7 16 ​ ; 14 32 ​ 15. 435 16. 503 1 8 ​ ; 2 503 16 ​ 17. 13 18. 1 19. 13 1 2 ​ ; 27 2 ​ 20. 25 21. 48 22. 0.09 23. 0.087 24. 8.8 25. 6.14 26. 609 27. 6.96 28. 0.43 29. 1855.43 30. 7 8 ​ ; 14 16 ​ 31. 12.31 32. 0.79 33. 29, 650 34. 63 35. 240 36. 3.1416 37. 5 38. Tech Enhanced Item 39. 15 40. 126 41. 76.5 42. 50.27 43. Tech Enhanced Item 44. 2.835 45. 0.75 46. Tech Enhanced Item