Diagnostic Assessment Number and Quantitative Reasoning
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1 Number and Quantitative Reasoning. Identify the place value of the underlined digit,36,57,97. A millions B hundred thousands C ten thousands D hundreds 7. Which list contains the first three multiples of the number? A, 5, 6 B,, C,, D,,. Which is.3 million written in standard form? F 0,30,000 G,30,000 H,3,000 J 3,00. Which list contains all the factors of? F, 6, 7, G,, 6, 7,, H,, 3, 6, 7,,, J, 3. Round 7,9 to the nearest ten thousand. A 0,000 C 6,000 B 7,000 D 0,000. Which comparison statement is true? F 35,90 53,765 G 9,03,903 H 6,53,7 6,35,970 J 7,50,5 7,50,96 5. Which set of numbers is ordered from least to greatest? A 637, 57, 57, 7 B 637, 57, 57, 7 C 7, 57, 57, 637 D 7, 57, 57, Identify the number sets that contain the number 0. F counting, whole, even G counting, whole, even, odd H counting, whole, factor of 7 J counting, odd 9. Which number is prime? A 5 C 93 B 7 D 0. Which number is composite? F 35 H 3 G 7 J 9. Evaluate 50. A 5 C 500 B 00 D 5,000. Find the value of 9 5. F 5 H 656 G 95 J 59,09 3. Find the next three numbers in the pattern. 50,000, 0,000, 000, 00, A 00, 00, 50 B 0, 6, 3. C 50, 5, 5 D 00, 50, 5
2 Number and Quantitative Reasoning, continued. What number is represented by the shaded portion of the grid?. Write the fraction for the shaded part of the circle. F 5 H 0 50 G 0.0 J F H 3 G J 3 5. Write in word form. A four, three, five, two, six, seven B four thousand three hundred two and sixty-seven hundredths C four thousand, three hundred and sixty-seven tenths D four thousand, three hundred fiftytwo and sixty-seven hundredths 6. Round to the nearest thousandth. F 000 H G J Which set of numbers is ordered from least to greatest? A.7, 0.7, 0.3, 0.9 B 0.7, 0.9, 0.3,.7 C 0.7, 0.3, 0.9,.7 D.7, 0.9, 0.3, Simplify 3. A 6 7 C 3 B 3 D 3 0. Round to the nearest benchmark 5 fraction. F 0 H G J cannot round. Which mixed number is equivalent to 3? A C 5 3 B 5 D 6 3. Write 6 7 as an improper fraction. F 6 H 7 7 G J 5 7 7
3 Number and Quantitative Reasoning, continued 3. Find a common denominator for 7. A C B 36 D 7 9. Determine the percent of shaded squares in the grid below.. Which number should replace the question mark to make the statement true? 7?. F 6 H G J 5. Compare A B C 6. Which decimal is equivalent to? 0 F 0. H 0.7 G 0.55 J. 7. What is the ratio of hearts to diamonds? A 5: C 5:9 B :5 D :9. Simplify: 5 ponies to 5 saddles. F 5:3 H :5 G 3:5 J : A 5% C 50% B 3% D 6% 30. Which percent is equivalent to 0.75? F 7.5% H 75% G 7.5% J % 3. Write as a percent. 5 A % C 7% B 6% D 3.9% 3. Which comparison statement is true? F 3 7.5% G 0.53 H 6% 0.66 J 0.75 % 33. Which integer represents a $5 loss? A $5 B $5 C $0 D $50 3
4 3 Operations 3. Find the quotient F 06 H G 0 r 7 J r Find the product. A 0 C 096 B 3 D 3, Multiply. F 3 H 3 G J ,000? A 0.6 C B 0.06 D Divide F H G 00 J. Add. F 3 7 H 9 G 6 6 J A C 3 B D 0. Multiply 3 7. Write the answer in simplest form. 5 F H 6 G 7 J Divide 5 5. Write any remainder as a decimal. A 6 C 3 B 6 D Multiply F 6 H 7.3 G 73 J Multiply A 3 C 300 B 30 D 3, Multiply A 7 C 75 B 63 D 5 6. What is 5% of 300? F 0 H 000 G 5 J Subtract. ( 5) ( ) A 3 C 7 B 3 D 7
5 Algebra. Identify the property shown. 5 ( ) (5 ) F Commutative Property of Multiplication G Associative Property of Multiplication H Multiplication Property of One J Multiplication Property of Zero 9. Which is the correct use of the Distributive Property to find the product 7 9? A (7 0) (7 9) B 7 9 C (7 0) (7 9) D (7 0) (7 9) 5. Evaluate the expression 3 xy for x and y 3. F 7 H 7 G J Simplify. 0y 5x 7 3x 9 A 0y x 6 B 0y x 6 C 0y x 6 D 0y x 56. Which algebraic equation matches the expression a number divided by is 3 5? F n 3 5 H n Evaluate. 9 (5 3) F 0 H 0 G 9 J 9 5. (35 3) 6 A 0 C 35 B D 5. Simplify. (6 7)() F.5 H 3 G 6 J Which expression represents 3 less than w? A w 3 B 3w C 3 w D 3 w G n 3 5 J n Use inverse operations to solve the equation n 36. A n 3.5 C n 560 B n 3 D n 5,06 5. Solve. 56 n F n 3 H n.57 G n 3 J n Solve. 0.06t. A t 0. C t 6 B t. D t Solve. w F w 6.7 H w G w J w 0 5
6 6. Identify the point graphed on the number line. A C B 3 D 5 6. Which graph is the solution to the inequality x 0? F G H J Algebra, continued Solve. w 7 A w C w B w 3 D w cm mm F 50 H 5,000 G 500 J Complete the function table. Algebraic Input Expression Output n n ?? 63. Which inequality represents the graph? A x B x C x D x 6. Which graph corresponds to the equation y 3x? F y G y H y x x J y x x A C. B 3. D. 6. What is the ordered pair for point C? F (5, ) G (, 5) H ( 5, ) J (, 5) 69. What is the ordered pair for point E? 5 3 O B C y D O E y G 3 F D A 5 x x A (, ) B (, ) C (, 3) D (3, ) 6
7 Measuring 70. What temperature is shown by the letter A? A B C D F F 3 H 7 G 5 J 5 7. Change to the given unit. 3 c pt A 7 C B 36 D 6 7. Change to the given unit. 6,000 ml L F 6. H 60 G 6 J Which is the length of the apple? 3 A inch C inches B inches D inches 7
8 Geometry 7. Classify the angle shown. 7. Identify the solid figure. F right G acute H obtuse J straight 75. Name the angle formed by the dashed rays. A C A ABC B ABD B D E C DBE D EBC F hexagonal prism G hexagonal pyramid H cone J pentagonal prism 79. Identify the number of faces, edges and vertices. 76. Identify the figure. F trapezoid G rectangle H rhombus J square 77. Which is the name of the obtuse angle in the polygon? C A ABC B CAB A B C BCA D CBA A faces, edges, vertices B faces 5, edges, vertices 5 C faces, edges, vertices 5 D faces 5, edges, vertices 0. Which sets of lines are parallel to AB? E A F B F AD and BC H GH and BC H G C D G AD and CD J EF and CD
9 Geometry, continued. Identify the set of figures that are congruent.. Identify the figure shown. A yd yd B C D 5 m m in. in. cm cm F triangular prism G triangular pyramid H rectangular prism J rectangular pyramid 5. Find the area of the figure. yd. Identify the pair of figures that appear to be similar. F 9 yd A 7 yd C yd B 36 yd D 7 yd G H J 3. Find the perimeter of the figure. cm cm 5 cm 6 cm cm A 5 cm C 0 cm B cm D 9 cm 6. Find the area of the figure. Use 3. for. m F 5.6 m H m G 3.0 m J 37.6 m 7. Identify the transformation. A translation B rotation C reflection D transdermal 9
10 Geometry, continued. Identify the number of lines of symmetry in the figure. F 0 H G J 3 9. What is the measure of the angle? A 75 C 05 B 5 D 0 0
11 Statistics and Data Analysis 90. Use the data in the table to answer the question. 9. Use the bar graph to answer the question. Employee Hours Pay Rate Total J. Burns 5 $6.50 $9.50 M. Gwin 5 $9.5 $6.5 N. Rice 35 $.75 $306.5 C. Walter $9.5 $0.60 Which employee had the greatest total earnings? F J. Burns H N. Rice G M. Gwin J C. Walter 9. What is the range of the data set? 06, 5, 79, 9, 7, 03, 90 A 95 C 37 B 7 D 6 9. What is the median of the data set? 5.,.6, 5.,.6,., 5.0 F 5. H.9 G 5.0 J. 93. What is the mean of the data set? 03,, 07, 9, 0 A 0 C 00 B 07 D 93 Average Lifespan (in years) Dog Rabbit Mouse G. Pig Cat Animal What is the average lifespan of a rabbit? F 3 years H 5 years G years J years 95. Use the circle graph to answer the question. th Graders Favorite Colors Yellow 7% Average Animal Lifespan Purple 3% Green 0% Blue 7% Red 33% What is the favorite color of th graders? A blue C red B green D purple
12 Statistics and Data Analysis, continued 96. Use the stem-and-leaf plot to answer the question. Test Scores Stem Leaves What is the median of the test scores? F 75 H 70.6 G 7 J What is the likelihood of spinning a smiley face? 9. Use the graph to answer the question. Attendance at Water Park Number of People Sun Mon Tues Wed Day Thurs Fri Sat How much greater was the attendance on Saturday than on Monday? F 00 H 00 G 000 J 600 A certain C likely B impossible D unlikely
13 Answers Number and Quantitative Reasoning. B. G 3. A. J 5. C 6. F 7. C. H 9. B 0. F. C. J 3. B. F 5. D 6. H 7. C. G 9. D 0. H. C. H 3. D. H 5. B 6. G 7. B. F 9. B 30. G 3. C 3. F 33. A 6. G 7. A. H 9. C Operations 3. J 35. D 36. H 37. C 3. H 39. D 0. J. C. J 3. A. J 5. B Algebra. G 9. A 50. H 5. D 5. G 53. A 5. F 55. A 56. G 57. B 5. F 59. D 60. H 6. C 6. J 63. C 6. G 65. B 66. F 67. A 6. H 69. B Measuring 70. J 7. A 7. G 73. B Geometry 7. G 75. B 76. F 77. B 7. F 79. B 0. J. D. H 3. A. F 5. B 6. F 7. B Statistics and Data Analysis 90. G 9. C 9. H 93. C 9. H 95. C 96. G 97. D 9. G 5
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