Practice Problems to Prepare for Trades Math Assessment Test Form A (Answers are located at the end of this practice exam)

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1 Practice Problems to Prepare for Trades Math Assessment Test Form A (Answers are located at the end of this practice exam) The actual Trades Math Assessment Test will have 0 questions few multiple choice on it. On the actual assessment test do not skip any problems that you might know how to solve as the software will assume that you cannot solve that type of problem. For these practice problems solve as many as you can on your own and then try to learn as many of the other topics as necessary for your cut-off score for your trades program. There are 60 questions on this practice exam. Ask an ACP instructor for additional handouts to learn some of the topics you missed. Don't use a calculator. Show all work. Name: Date: Whole Numbers -- Answer in the space provided. Do not use a calculator.. Give the place value of the digit in the number 748. thousands ten thousands hundred thousands millions. Round to the thousands place. 84. Convert to standard form: one million nine hundred eighty thousand two hundred seventy. 4. Add Subtract Page

2 6. Multiply Divide R 67 R 68 R 8. The math department has $00 to spend on a set of calculators. If the calculators cost $ each how many calculators can the department purchase and how much money will be left over? 8 calculators; $ left over 8 calculators; $ left over calculators; $ left over calculators; $ left over. A farmer wishes to place 7 eggs in containers holding eggs each. How many containers will be filled completely and how many eggs will be left over? 6 containers will be filled completely with 8 eggs left over. 6 containers will be filled completely with 6 eggs left over. 7 containers will be filled completely with 8 eggs left over. 7 containers will be filled completely with 6 eggs left over. 0. Estimate the product by first rounding each number to nearest ten thousand Simplify. 70 (0 ) Page

3 Fractions -- Answer in the space provided. Do not use a calculator. Show all work.. Write a fraction that represents the shaded area.. Rewrite the fraction with the indicated denominator Simplify the fraction to lowest terms. Write the answer as a fraction or a whole number Page

4 . Allen and Rajiv worked on their homework together. Allen finished 8 of the 0 problems he was assigned and Rajiv finished 8 of the problems he was assigned. a. What fractional part of his total number of homework problems did each boy finish? b. Which boy finished the greater fractional part? 6. Multiply and write the answer as a fraction Multiply. Write the answer as a mixed number or a whole number Divide and simplify the answer to lowest terms. Write the answer as a fraction or whole number Page 4

5 . Edward's estate is to be split equally among his three heirs. If his estate is worth million how much will each heir inherit? Each heir will inherit $ 4 million. Each heir will inherit Each heir will inherit Each heir will inherit $ million. $ million. 8 $ million. $ 0. Rank the fractions from least to greatest Find the area of the figure. 40 ft The area is 48 ft. The area is 4 4 ft. The area is 40 ft. The area is 70 ft. 8 ft Page

6 . Find the perimeter and the area of the figure. 0 in. 0 in.. Add. Write the answer as a fraction simplified to lowest terms Add Subtract. Write the answer as a fraction simplified to lowest terms Page 6

7 6. Phil bought 4 acres of land and then sold 4 acre. How much land does he have left? Phil has 4 acres left. Phil has acres left. Phil has acres left. Phil has 4 acres left. 7. Find the difference Decimals -- Answer in the space provided. Do not use a calculator. 8. Write the decimal as a proper fraction or a mixed number Page 7

8 . Write the decimal as a proper fraction or a mixed number Round to the nearest thousandth Subtract Add Multiply Divide. Write the quotient in decimal form A contractor bought concrete blocks at $.7 each bags of mortar at $. each and bags of masonry coating at $.7 each. What was the total bill excluding tax? $74. $.7 $0.67 $.7 Page 8

9 6. A membership at a health club costs $60 per year. The club has a payment plan in which a member can pay $0 down and the rest in equal payments. How much is each payment? The monthly payment is $4.0. The monthly payment is $4.0. The monthly payment is $4.0. The monthly payment is $ Write the fraction as a decimal Write the fraction as a repeating decimal Write 0. as a fraction. 40. The nightly price for a standard room at a hotel is $. with a nightly room tax of $7.. The hotel also charges $0.0 per phone call made from the phone in the room. If a guest stays for nights and makes 4 phone calls how much is the total bill? $6.0 $6.0 $6.0 $ Conrad earned quiz grades of 8 4 and 8. What is his quiz average? Ratio Proportion and Percent -- Do not use a calculator. Show all work. 4. Solve the proportion h 4.. Page

10 4. A -foot pole casts a shadow of 6 feet. How long will the shadow be for a 7-foot building? The shadow will be 7 ft. The shadow will be 8 ft. The shadow will be ft. The shadow will be 0 ft. 44. Approximately 4 out of 00 Americans over the age of smoke. How many smokers would you expect in a group of 60 Americans over the age of? 4 smokers are expected. 4 smokers are expected. 6 smokers are expected. 6 smokers are expected. 4. A carpenter makes a schematic drawing of a deck she plans to build. On the drawing 4 in. represents ft. Find the dimensions of the deck. 8 in. 6 in..7 in. in. x 7. ft. y z (Figures not necessarily drawn to scale.) Page 0

11 46. Complete the table. Fraction Decimal Percent a. 0.8% b. c. d. 4 e. 0.4 f. 6% 47. Solve the percent problem for the unknown base. is 80% of what number? % of 60. is what number? is what percent of 600? 7.% 7% 70% 0.07% 0. Arlene deposited $00 in an account that pays 7 % simple interest for 4 years. a. How much interest will she earn in 4 years? b. What will be the total value of the account after 4 years? $460; $60 $470; $70 $440; $40 $40; $0 Page

12 Geometry and Measurement -- Show all work.. The Seine River is 77 km long. Convert this to meters.. Convert the temperature using the appropriate formula. F C or C F C = F F 00 F 0 F 0 F. Find the length of the unknown side. 7 ft b 6 ft 8 ft 0 ft ft ft 4. Find the lengths of the two missing sides labeled a and b. Then find the perimeter of the figure. in. in. b a ft 6in. Page

13 . Find the area of the circle. Use.4 for. Round to the nearest whole unit. m 86 m 77 m 4 m 706 m 6. Find the volume..6 m.86 m 4.06 m.006 m.6 m.6 m.6 m 7. Find the volume. Use.4 for. 6 mm 8 mm Solving Equations -- Show all work. Do not use a calculator. 8. Solve the equation using the subtraction property of equality. 6 = w + Page

14 . Solve the equation using the multiplication or division properties of equality. a = Solve the equation. 8x = x + When you are done check your answers with the attached answer key. Page 4

15 Answer Key. B D. C 6. D 7. B 8. D. C 0. A. C. B. A 4. B. a. Allen: ; Rajiv: 4 6. b. Rajiv finished the greater fractional part B 8. A. B 0. D. D. perimeter: in.. D 4. D. area: C 7. C 8. B. C 0. A D 4. B. D 6. A C 00 in. Page

16 . 40. C 4. Conrad's average is.. 4. B 4. B 44. C 4. x = 0 ft; y =. ft.; z =.7 ft. 46. Fraction Decimal Percent a % b % c. 00% d % 4 e % f % A 4. A 0. D m. A. B 4. a ft or in. b ft or in.; 4 4 perimeter = 4 ft or 4 in.. B 6. C mm 8. A. C 60. Page 6