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MA07 Mathematics Diagnostic Assessment Mesa Public Schools 2015-2016 MA07 Diagnostic Assessment Multiple Choice Identify the choice that best completes the statement or answers the question. 1. What is the val ue of 74 ? a. 2,401 b. 7,777 c. 28 d. 16,384 12 2 2. What is the value of the expression 62 − 3 ( 5 − 5)? 2 2 a. 4 5 c. 28 5 b. 6 d. 30 3. What is the value of the expression 92 − 2(5 + 3)? a. 65 b. 63 c. 74 d. 2 4. Which is equivalent to the product of 8 ∗ 8 ∗ 8 ∗ 8 ∗ 8 ∗ 8 ? a. 6 × 8 b. 86 c. 8 × 6 d. 68 5. Which is an equivalent factored form of 35 + 5? a. 5(7 + 1) b. 5(7 + 5) c. 5(7 + 2) d 40 6. What is the value of the expression 4𝑎 + 3 when 𝑎 = 14? a. 60 b. 56 c. 57 d. 59 7. Francisco flew a kite for 200 minutes. This was 20 minutes less than 4 times the number of minutes that Victoria flew a kite. If v represents the number of minutes that Victoria flew a kite, which equation represents the relationship between the number of minutes Francisco and Victoria flew kites? a. 20 – 4v = 200 b. 4v - 20 = 200 c. (20 – 4)v = 200 d. 4(v – 20) = 200 -1- MA07 Diagnostic Assessment 8. What is the GCF of 8 and 14? a. 56 b. 8 c. 5 d. 2 9. What is the prime factorization of the number 60? c. 22 ∗ 3 ∗ 5 d. 2 ∗ 32 ∗ 5 a. 3 ∗ 4 ∗ 5 b. 2 ∗ 3 ∗ 5 10. Which of the following numbers is a perfect square? a. 35 b. 68 c. 125 d. 144 11. What is the LCM of 6, 14, and 18? a. 2 b. 126 c. 1512 d. 252 8 12. Using compatible numbers, which is an estimate for the quotient 38 ÷ 5 13 ? a. 1 b. 6 c. 4 d. 9 13. What is the value of xyz when x = 3, y = 3 8 15 , and z = 12? 1 a. 1 5 c. 67 2 b. 288 d. 19 5 1 14. Which of the following lists is in order from least to greatest? 1 2 3 1 1 a. −2 5 , −1 3 , −1 5 , − 2 , − 3 1 1 3 2 1 3 2 5 3 5 b. − , − , −1 , −1 , −2 1 3 2 1 1 c. −2 5 , −1 5 , −1 3 , − 2 , − 3 1 1 2 3 1 d. − 3 , − 2 , −1 3 , −1 5 , −2 5 -2- MA07 Diagnostic Assessment 15. Which is an equivalent value of −|−7| ? a. |−7| c. -7 b. 7 d. −|7 − 7| 16. What value of n makes the equation a. 2 c. 9 b. 8 d. 32 4 7 𝑛 8 ÷ 2 = 63 true? 17. What is the area of the figure below? 12 cm 6 cm 6 cm 25 cm 25 cm 15 cm 52 cm a. 126 cm2 c. 582 cm2 b. 552 cm2 d. 553.11 cm2 18. The coordinate plane shows three vertices of a parallelogram. Which ordered pair could represent the fourth vertex of the parallelogram? a. (3, 5) b. (4, 5) c. (5, 5) d. (6, 5) -3- MA07 Diagnostic Assessment 19. What is the area of triangle ABC? A 7m C B 10 m a. 17 m2 c. 70 m2 b. 34 m2 d. 35 m2 20. What is the missing side, c, of the figure below if the area of the figure is 384 mi 2 ? 20 mi 12 mi c a. 48 mi c. 32 mi b. 19.2 mi d. 24 mi -4- MA07 Diagnostic Assessment 21. Which polygon below represents the polygon with vertices G(3, 4), H(3, 7), J(6, 7), K(6, 4)? a. c. x b. x d. x x 22. What is the volume of the prism? 3 ft 4 ft 0.6 ft a. 14.4 ft3 c. 2.2 ft3 b. 32.4 ft3 d. 7.2 ft3 -5- MA07 Diagnostic Assessment 23. What is the total surface area of the right triangular prism shown below? 5 in 3 in 6 in 4 in a. 84 sq in c. 180 sq in b. 96 sq in d. 360 sq in 24. What is the total surface area of the triangular prism shown below? 9 ft 12 ft 15 ft 22 ft a. 900 ft2 c. 1008 ft2 b. 1692 ft2 d. 896 ft2 25. What is the missing ratio in the table and the correctly written ratios of violins to cellos? Violins Cellos 7 4 16 a. 19; 4:7 and 16:19 c. 28; 7:4 and 28:16 b. 28; 4:7 and 16:28 d. 19; 7:4 and 19:16 -6- MA07 Diagnostic Assessment 26. You use the punch recipe to create a larger batch that uses 10 liters of ginger ale. How many cans of pineapple juice should you use? Punch Recipe 2 liters of ginger ale 2 cans of lemonade concentrate 1 can of pineapple juice 1 quart sherbet a. 1 can b. 10 cans c. 20 cans d. 5 cans 27. What is 7% as a decimal? a. 0.7 b. 0.07 c. 0.007 d. 7 28. What is 3.29 as a percent? a. 3.29% c. 0.329 b. 329% d. 32.9% 29. The 50-yard dash times, in seconds, for several students are shown below. 6.3, 6.7, 6.7, 7.1, 7.2, 7.5, 7.7, 8.1, 8.4 What is the mean time, in seconds, for these students? a. 6.7 secs c. 7.3 secs b. 7.2 secs d. 8.4 secs 30. The box-and-whisker plot represents the closing times of businesses in a town. What percent of businesses close at 10 P.M. or later? a. 20% c. 50% b. 25% d. 75% -7-