Diagnostic Assessment Number and Quantitative Reasoning
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1 Number and Quantitative Reasoning Select the best answer.. Which list contains the first four multiples of 3? A 3, 30, 300, 3000 B 3, 6, 9, 22 C 3, 4, 5, 6 D 3, 26, 39, Which pair of numbers has 7 as its least common multiple? F 7, 2 G 3, 4 H 4, 28 J, 7 3. The number 9 is a factor of which of the following numbers? A 3 C 63 B 9 D What is the greatest common factor of 6d 2 and 8d? F 6d 2 H 3d 2 G 6d J 3d 5. Which number is not composite? A 9 C 37 B 2 D 6. Find the value of 49. F 4 H 24 G 7 J Which statement is true? A B C D Evaluate 6 3. F 3 H 08 G 8 J Round 7.08 to the nearest tenth. A 7 B 7. C 7.08 D Which fraction is written in simplest form? F 2 G Change 4 5 H 23 3 J 6 4 to a decimal. A 0.4 C 0.8 B 0.45 D What is the ratio of AB to BC, in simplest form? A 8 D 2 2 F : H 3 : 2 G 2 : 3 J 4 : 3 3. Which of the following has a unit rate of 7 miles per hour? A 60 miles in 2 hours B 85 miles in 5 hours C 90 miles in 0 hours D 20 miles in 5 hours 4. Which decimal is equivalent to 22%? F 0.2 G 0.22 H 2.2 J 22.0 B 8 C Holt Geometr
2 Number and Quantitative Reasoning 5. Write in scientific notation. A B C D Which statement is true? F % G H 30% 3 J Which number set(s) best classifies the number 5? A natural numbers B whole numbers, integers C integers, rational numbers D natural numbers, integers, rational numbers 8. Identif the point graphed on the number line Which measurement is the most appropriate for the radius of a soccer ball? A 4 inches C foot B 8 inches D 3 feet 20. What is the length of the turtle? 2 3 Measurement F 2 6 in. G 2 4 in. H in. J in. 2. How man liters are in 22,000 milliliters? A 220 L B 22 L C 2.2 L D 0.22 L F.5 G 2.2 H 2.5 J Holt Geometr
3 Geometr 22. Which of the following represents a ra? F G 26. Find the measure of angle. 0 H J 23. Classif the angle. A straight B obtuse C right D acute 24. What is the angle measure of STU? F 70 G 80 H 90 J Which figure is not a polgon? A B S C T U F 20 G 50 H 70 J Select the best description for angles and 2. 2 D 28. What is the sum of the interior angles in a quadrilateral? F 90 G 80 H 360 J 720 A vertical angles B adjacent angles C linear pair D supplementar 3 Holt Geometr
4 Geometr 29. Classif the triangle. A right B obtuse 22 C equilateral D isosceles 30. Two angles of a triangle are 32 and 0. What is the measure of the third angle? F 28 H 42 G 80 J Given the right triangle below, what is? A 9.2 B 0.8 C 84 D Find the value of. 0 in in. 33. Which figure is congruent to this triangle? A B C D F 2 in. G 0 2 in. H 0 in. J 2 0 in. 34. Which similarit statement is true? A 9 B 8 6 C T R 24 8 S 24.2 N 39.6 M 52.8 O F ABC MNO G ABC TRS H TRS MNO J TRS ONM 4 Holt Geometr
5 Geometr 35. Triangle DEF and triangle QRS are right triangles. If DEF is similar to QRS, and m EFD 65, which of the following angles also has a measure of 65? A QRS C QSR B RQS D SQR 36. Find the perimeter of rhombus ABCD. A D A 6.2 m C F 32.4 m H G 64.8 m J What is the area of a triangle with a height of 20 meters and a base of 6 meters? 20 6 B 39. Find the circumference. A 8 B 36 8 ft C 8 D The figure below has a line of smmetr. Which drawing best shows the completion of the figure? F G A 60 square meters B 320 square meters C 640 square meters D 656 square meters 38. A rectangle has vertices at P, 0, Q 6, 0, R 6, 6, and S, 6. What is the area of rectangle PQRS? F square units G 22 square units H 30 square units J 50 square units H J 5 Holt Geometr
6 Geometr 4. Determine the surface area of a rectangular prism with height 5 in., width 7 in., and length 2 in. A 24 in. 2 B 358 in. 2 C 420 in. 2 D 840 in Determine the volume of a cube with side length 2 ft. F 36 ft 3 G 44 ft 3 H 864 ft 3 J 728 ft What is 224 4? A 6 B 4 C 2 D Find the difference F 2.2 G.2 H 2.2 J Find the product A 0.9 B 9.0 C 9.9 D Divide F 2.05 G 6.2 H 8.24 J Find the product in simplest form A 6 5 B 8 2 C 4 7 D 2 Operations 6 Holt Geometr
7 Operations 48. Subtract F 4 H 9 G 2 J What is 5% of 40? A 80 C 8 B 20 D What is the simple interest on an investment of $500 at 5% for 5 ears? The simple interest formula is I Pr t. F $60 G $375 H $3750 J $ Subtract. 5 3 A 8 B 2 C 2 D Multipl. 5 4 F 60 G H J Simplif A 4 C B 4 D Evaluate F 32 H 8 G 8 J Simplif the epression A 7 B 4 C D Which epression is equivalent to the epression 6 s 6? F 6s 6 G s 6 H s 36 J 6s Simplif. 8 c 9c 6 A 24 8c 2 B 32c C 24 8c D 8c 5c 58. Which equation corresponds to the statement the length of the rectangle is four times the width w. F w 4 G w 4 H 4w J 4 w 59. Simplif A 30 6 B 7 C 30 7 D Evaluate 6 3s for s 5. F 5 G 8 H 5 J Algebra 7 Holt Geometr
8 Algebra 6. Divide. 9r 3 2r 2 A 9r 3 2r B 2r 3 9r 2 C 2 9r D 9r Simplif. 5g g 9h F 6g 2 4gh G 5g 2 45gh H 5g 2 5g 9h J 6g 2 9h 63. Simplif A 8 B C 4 2 D What is the product of 2 8? F G H J What is the product of ? A B C D Factor completel. F 5 2 G H J Factor the polnomial, 2 5 6, completel. A 6 B 3 2 C 3 2 D Solve for F 64 G 48 H 8 J Solve the equation. 4c 6 22 A c 7 8 B c 2 C c 28 D c What value of makes this equation true? F 6 G 4 H 2.6 J 6 7. Solve for A 0 B 5 C 2 3 D Holt Geometr
9 Algebra 72. Solve A bh for h. 2 F h A 2b G h 2Ab H h 2b A J h 2A b 73. Segment CD has endpoints at C 0, 8 and D 2, 4. Find the midpoint of segment CD. A, 2 B, 3 C, 4 D, The graph shown is the solution to which of the following inequalities? 75. Which is the graph of the function 4? A B C O O O F d 6 G 4d 24 H 2d 2 J d 2 3 D O 76. Which pair of linear equations represent parallel lines? F { { 6 5 H 6 5 { 4 3 G J { Holt Geometr
10 Algebra 77. Solve the proportion A 5 C 25 B 0 D What table of ordered pairs corresponds to the function 3? F G Which ordered pair corresponds to point S? A 3, 3 B 2, C 3, 2 S W D 3, 2 T O 80. Graph the function 2 for the domain of 2,, 0,, 2. F O U X V H G O J H J O O 0 Holt Geometr
11 Algebra 8. Solve for A 25 B 5 C 4 D What value completes the square for the epression 2 6? F 36 G 2 H 9 J 3 Statistics and Data Analsis 83. The table shows the number and tpe of animals that are on ehibit at the 4-H fair. Animal Total Pig 50 Cow 56 Chicken 28 Find the percentage of Horse 78 animals that are horses. A 2% C 50% B 25% D 32% 84. Which statement does not represent the data set?, 5, 3, 5,, 2, 6, 4, F mean 4 H mode G median 3 J range The runners completing a 0K run were asked how man das per week the train. If 200 runners were surveed, how man runners said that the train 4 das per week? 8% 5 das 20% 2 das 40% 4 das 22% 3 das A 8 runners B 2 runners C 80 runners D 20 runners 86. Given the graph below, what is f 5? F 8 H 4 G 6 J 0 Holt Geometr
12 Logical Reasoning 87. Which statement can be concluded from the following? If two angles are complementar, both angles have measures less than 90. Angle T and angle U are complementar angles. A m T 90 B m T m U 90 C m T m U D m U Which conditional statement is alwas true? F If two lines intersect, the are perpendicular. G If two angles in a triangle are acute, the triangle is an obtuse triangle. H If two lines are parallel, the slope of both lines is the same. J If a figure is a square, the length of the diagonal is twice the square of the sum of two side lengths. 89. Select the countereample that makes the statement false. n 2 n, where n is a real number 90. Your team uniform consists of one pair of pants, three shirts, and two vests. Which tree diagram can ou use to help determine all of the different choices of uniform combinations? F G H Pants White Shirt Maroon Shirt Gra Shirt Pants White Shirt Maroon Shirt White Shirt Maroon Shirt Gra Shirt Probabilit A n 0 B n 5 J White Shirt C n 2 Pants Maroon Shirt Gra Shirt D n 5 Maroon Shirt Gra Shirt Gra Shirt 2 Holt Geometr
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