Math 0997 Homework 2 - Support for Quantitative Reasoning PDF

Preview

Summary

Support for Quantitative Reasoning...

Description

WS#2 - Page |1

Worksheet Week #2 Math 0997: Support for Quantitative Reasoning

Student Name:___________________________________

TOPIC 1: Place Value and Rounding Identify the digit in the given place value. 1. 65,743.196; tens

2. 65,743.196; hundreds

3. 65,743.196; thousands

4. 19.735; ones

5. 19.735; tenths

6. 19.735; hundredths

7. 8,456.1893; thousandths

8. 8,456.1893; ones

9. 8,456.1893; hundreds

10.

318.2761904; hundredths

11.

318.2761904; tenths

12.

318.2761904; ones

Round the number to each of the given place values. Hundreds 13.

65,743.18

14.

19.735

15.

8,456.1893

16.

318.2761904

Tens

Whole Number

Tenths

Hundredths

TOPIC 2: Similar Triangles Draw and label each pair of triangles so that corresponding angles are in the same position. Then list the pairs of corresponding sides. Small Triangle

Large Triangle

Corresponding Sides

17. _______ and _______ _______ and _______ _______ and _______

WS#2 - Page |2 Small Triangle

Large Triangle

Corresponding Sides

18. _______ and _______ _______ and _______ _______ and _______

19. _______ and _______ _______ and _______ _______ and _______

20. _______ and _______ _______ and _______ _______ and _______

Draw and label each pair of triangles so that corresponding angles are in the same position. Then list the pairs of corresponding sides. Small Triangle

Large Triangle

Corresponding Sides

21. _______ and _______ _______ and _______ _______ and _______

WS#2 - Page |3 Small Triangle

Large Triangle

Corresponding Sides

22. _______ and _______ _______ and _______ _______ and _______

23. _______ and _______ _______ and _______ _______ and _______

24. _______ and _______ _______ and _______ _______ and _______

Draw and label each pair of triangles so that corresponding angles are in the same position. Then list the pairs of corresponding sides. Small Triangle

Large Triangle

Corresponding Sides

25. _______ and _______ _______ and _______ _______ and _______

26. _______ and _______ _______ and _______ _______ and _______

WS#2 - Page |4 Small Triangle

Large Triangle

Corresponding Sides

27. _______ and _______ _______ and _______ _______ and _______

28. _______ and _______ _______ and _______ _______ and _______

TOPIC 3: Solving Proportions Solve each proportion by cross multiplying and dividing by the coefficient. Show your work. Round to the nearest hundredth when necessary. 29.

30. 8 ฀฀ = 15 20

31. 100 50 = 17 ฀฀

32 ฀฀ 80 = 12 11

19 38 = ฀ ฀ 100

WS#2 - Page |5 33.

34. 5 7 = 10 ฀฀

37.

35.

50 ฀฀ = 90 3

41.

39. 2 17 = 3 ฀฀

42. 3 ฀฀ = 8 70

8.1 ฀฀ = 4.4 6.4

10.2 21 = ฀ ฀ 30

38.

36.

40. 200 75 = ฀฀ 500

43. 500 900 = ฀฀ 900

9 ฀฀ = 20 60

80 50 = 72 ฀ ฀

44. 10.5 16.4 = ฀฀ 40

10 =

฀฀ 4

WS#2 - Page |6 TOPIC 4: Pythagorean Theorem For each triangle, specify the values of a, b, and c. If no value is shown, write the variable name of the side. Simply list. Do not find any missing lengths. a, leg 45.

46.

47.

48.

49.

50.

b, leg

c, hypotenuse

WS#2 - Page |7 TOPIC 5: Square Roots Find the value of each square root without using a calculator. 51.

√1

52.

√64

53.

√144

54.

√100

55.

√49

56.

√36

57.

√81

58.

√4

59.

√9

60.

√16

61.

√25

62.

√121

Find the value of each square root by using a calculator. Round your answer to the indicated place value. Square Root

A.

Hundredths

B.

Tenths

C. Whole Number

63. √20 64. √115 65. √408 66. √90

Topic 6: Perimeter and Area Use counting to find the area and perimeter of each shape. Include appropriate units in your answers.

67. A = ______

68. A = ______

69. A = ______

P = ______

P = ______

P = ______

WS#2 - Page |8 Determine whether the measurement of perimeter or area is needed to solve each problem. Circle the answer. 70. A fence around the border of a property.

Area

Perimeter

71. Flowers planted along a sidewalk.

Area

Perimeter

72. New carpet for a master bedroom.

Area

Perimeter

73. Wrapping paper for a present.

Area

Perimeter

74. Wood molding for a picture frame.

Area

Perimeter

75. Paint for a kitchen wall.

Area

Perimeter

76. Cover for a swimming pool.

Area

Perimeter

77. Vinyl siding for a home.

Area

Perimeter

TOPIC 7: Rectangles, Squares, Triangles and Circles - Perimeter, Circumference and Area Evaluate each formula for the given values. Include appropriate units in your final answer. SHOW YOUR WORK. Perimeter of a Rectangle: P = 2L + 2W where L = length and W = width 78. L = 300 ft, W = 125 feet L = 60 in, W = 44 in

L = 22 m, W = 14 m

Area of a Rectangle: A = LW, where L = length and W = width 79. L = 300 ft, W = 125 feet L = 60 in, W = 44 in

L = 22m, W = 14 in

Perimeter of a Square: P = 4s, where s = length of any side 80.

S = 16 ft

S = 44 in

Area of a Square: A = s2, where s = length of any side 81. S = 16 ft S = 3 in ft

S = 16 m

S=9m

Perimeter of a Triangle: P = S1 + S2+S3, where S1, S2, S3 are the lengths of the sides of the triangle. 82. S1 = 5 in S1 = 9 m S1 = 5 ft S2 = 10 in S2 = 9 m S2 = 12 ft S3 = 7 in S3 = 15 m S3 = 13 ft Area of a triangle: A = ½ bh, where b = length of the base and h = height of the triangle Round to the nearest tenth when necessary. 83. b = 20 in, h = 9 in b = 7 cm, h = 11 cm b = 8 ft, h = 5 ft

Circumference of a Circle: C = ฀฀฀฀ , where d = length of the diameter. Use 3.14 as an estimate for ฀฀. Include appropriate units in your final answer. Remember that d = 2r. 84. (tenth) (whole number) (tenth) ฀ ฀ = 8 ฀฀฀฀ ฀ ฀ = 12 ฀฀฀฀ ฀ ฀ = 16 ฀฀฀฀ Area of a Circle A = ฀฀฀฀฀฀ , where r = length of the radius. Use 3.14 as an estimate for ฀฀ and round to the nearest tenth when necessary. Note: d = 2r 85. ฀ ฀ = 4 ฀฀฀฀ ฀ ฀ = 12 ฀฀฀฀ ฀ ฀ = 16 ฀฀฀฀...