Math Self-Test Version Form A Measurement and Geometry

Transcription

1 Math Self-Test Version Form A Measurement and Geometry Draw each object and describe the key characteristics that define the object. [3 pts. each] 1) Acute Triangle 2) Arc 3) Chord 4) Cube 5) Cylinder Copyright 2003 by Brad Jolly Page 1 Next release: On or before September 30, 2003

2 Draw each object and describe the key characteristics that define the object. [3 pts. each] 6) Diameter 7) Equilateral Triangle 8) Hexagon 9) Isosceles Triangle 10) Line Copyright 2003 by Brad Jolly Page 2 Next release: On or before September 30, 2003

3 Draw each object and describe the key characteristics that define the object. [3 pts. each] 11) Line Segment 12) Obtuse Triangle 13) Octagon 14) Parallel Lines 15) Parallelogram Copyright 2003 by Brad Jolly Page 3 Next release: On or before September 30, 2003

4 Draw each object and describe the key characteristics that define the object. [3 pts. each] 16) Pentagon 17) Perpendicular Lines 18) Quadrilateral 19) Radius 20) Ray Copyright 2003 by Brad Jolly Page 4 Next release: On or before September 30, 2003

5 Draw each object and describe the key characteristics that define the object. [3 pts. each] 21) Rectangle 22) Rectangular Solid 23) Rhombus 24) Right Triangle 25) Scalene Triangle Copyright 2003 by Brad Jolly Page 5 Next release: On or before September 30, 2003

6 Draw each object and describe the key characteristics that define the object. [3 pts. each] 26) Sphere 27) Square 28) Trapezoid Copyright 2003 by Brad Jolly Page 6 Next release: On or before September 30, 2003

7 Many of the questions below ask you to answer each question as True (T), False (F), or No Answer (NA). You will get 1 point for each correct answer, and you will lose 2 points for each incorrect answer of True or False. If you answer No Answer (NA), you get 0 points, so answering NA is better than random guessing. Copyright 2003 by Brad Jolly Page 7 Next release: On or before September 30, 2003

8 Units of Distance 29) [2 pts.] How many inches are in 15 yards? 30) [2 pts.] How many millimeters are in a mile? 31) [2 pts.] How many millimeters are in a kilometer? 32) [2 pts.] How many inches are in five miles? 33) [2 pts.] How long is the line segment below in inches? 34) [2 pts.] How long is the line segment below in millimeters? Copyright 2003 by Brad Jolly Page 8 Next release: On or before September 30, 2003

9 Units of Area and Volume 35) [2 pts.] How many pints are in five gallons? 36) [2 pts.] How many cubic centimeters are in 3.5 liters? 37) [2 pts.] How many liters are in a cubic meter? Copyright 2003 by Brad Jolly Page 9 Next release: On or before September 30, 2003

10 Prefixes 38) [2 pts.] How many picoliters make two liters? 39) [2 pts.] How many kilograms are in a gigagram? 40) [2 pts.] How many milliseconds are in one hour? 41) [2 pts.] How many milliliters make a liter? 42) [2 pts.] How many meters are in a kilometer? 43) [2 pts.] How many nanoseconds are in a minute? Copyright 2003 by Brad Jolly Page 10 Next release: On or before September 30, 2003

11 Temperature 44) [2 pts.] What Fahrenheit temperature is equal to 25 Celsius? 45) [2 pts.] What Celsius temperature is equal to 131 Fahrenheit? 46) [2 pts.] At what Fahrenheit temperature does water freeze? 47) [2 pts.] At what Celsius temperature does water boil? 48) [2 pts.] A change in temperature of 15 degrees Celsius is equal to a change of how many degrees Fahrenheit? 49) [2 pts.] A change in temperature of 45 degrees Fahrenheit is equal to a change of how many degrees Celsius? Copyright 2003 by Brad Jolly Page 11 Next release: On or before September 30, 2003

12 Mass and Weight 50) [2 pts.] How many pounds and ounces are 3,000 ounces? 51) [2 pts.] How many kilograms and grams are 123,456 grams? 52) [2 pts.] To the nearest gram, how many grams are in ¾ pound? 53) [2 pts.] If a six pound tray of lasagna is cut into eight pieces, how much will each piece weigh? 54) [2 pts.] If a cake weighing 3.5 lbs. is divided equally among 16 people, how much will each piece weigh? 55) [2 pts.] To the nearest tenth of a gram, if a steak with a mass of 2 kg is divided equally among 14 people, what will the mass of each piece be? Copyright 2003 by Brad Jolly Page 12 Next release: On or before September 30, 2003

13 Time 56) [2 pts.] How many minutes are in two days? 57) [2 pts.] How many seconds are in one third of a day? 58) [2 pts.] How many hours are there between 8:30 am on one day and11:15 pm on the following day? 59) [2 pts.] Jane travels 273 km. in 6.5 hours. What is her average speed? 60) [2 pts.] Gary traveled 435 miles at an average speed of 20 miles per hour. How long did it take him to complete the trip? Copyright 2003 by Brad Jolly Page 13 Next release: On or before September 30, 2003

14 Lines 61) All lines are either parallel or perpendicular to each other. T F NA 62) Two rays that do not intersect must be parallel. T F NA 63) Two line segments that do not intersect must be parallel. T F NA Copyright 2003 by Brad Jolly Page 14 Next release: On or before September 30, 2003

15 Angles 64) [2 pts.] What is the degree measure of the angle A below? A 65) [2 pts.] Three line segments meet at point B, below. What is the value of angle ABC? C B 41 deg. A Copyright 2003 by Brad Jolly Page 15 Next release: On or before September 30, 2003

16 Triangles 66) A triangle may have two right angles. T F NA 67) A triangle may have two obtuse angles. T F NA 68) A triangle may have two acute angles. T F NA 69) A triangle must have at least one acute angle. T F NA 70) An isosceles triangle must have mirror symmetry. T F NA 71) A scalene triangle must have mirror symmetry. T F NA 72) An equilateral triangle must have three lines of symmetry. T F NA 73) A scalene triangle must have rotational symmetry. T F NA 74) An equilateral triangle must have rotational symmetry. T F NA 75) [3 pts.] The hypotenuse of a right triangle is 10 cm in length. One side of the triangle is 8 cm long. What is the area of the triangle? 76) [2 pts.] What is the height of a triangle whose base is 4 inches long and whose height is 20 square inches? 77) [3 pts.] From her house, Mary walks five blocks south and 12 blocks east to get to Juanita s house. How much distance could she save if there were a straight path between the two houses? Copyright 2003 by Brad Jolly Page 16 Next release: On or before September 30, 2003

17 Quadrilaterals 78) A quadrilateral must have at least one acute angle. T F NA 79) A quadrilateral may have two right angles. T F NA 80) A quadrilateral may have two obtuse angles. T F NA 81) A quadrilateral may have two acute angles. T F NA 82) A quadrilateral may have exactly three right angles. T F NA 83) All rhombuses are parallelograms T F NA 84) All parallelograms are rhombuses. T F NA 85) All parallelograms are quadrilaterals. T F NA 86) All quadrilaterals are parallelograms. T F NA 87) All trapezoids are quadrilaterals. T F NA 88) [2 pts.] The drawing below is not to scale. What is the area of this trapezoid? 14 cm 8 cm 11 cm 20 cm 89) [2 pts.] A square is two inches long. What is its area? Copyright 2003 by Brad Jolly Page 17 Next release: On or before September 30, 2003

18 Other Polygons 90) A pentagon may have nothing but right angles. T F NA 91) A pentagon may have nothing but acute angles. T F NA 92) A pentagon may have nothing but obtuse angles. T F NA 93) An equilateral pentagon may have nothing but right angles. T F NA 94) An equilateral hexagon has nothing but obtuse angles. T F NA 95) [2 pts.] What is the perimeter of an equilateral hexagon that is one inch long on a side? 96) [2 pts.] What is the perimeter of an equilateral octagon that is one centimeter long on a side? 97) [2 pts.] What is the measure of each angle in an equilateral hexagon? 98) [2 pts.] What is the measure of each angle in an equilateral octagon? Copyright 2003 by Brad Jolly Page 18 Next release: On or before September 30, 2003

19 Circles 99) [3 pts.] The radius of a circle is 2 inches. To the nearest hundredth of an inch, what is the circumference of the circle? 100) [3 pts.] The diameter of a circle is 3 cm. To the nearest hundredth of a square centimeter, what is the area of the circle? 101) [2 pts.] What is the radius of a circle whose circumferences is 5π inches? 102) [2 pts.] What is the diameter of a circle whose area is 16π square millimeters? 103) [2 pts.] What is the radius of a circle whose area is 6π square inches? 104) [2 pts.] A circular disk with a diameter of 3 inches weighs 1 pound. How much does a similar disk with a radius of 6 inches weigh? Copyright 2003 by Brad Jolly Page 19 Next release: On or before September 30, 2003

20 Symmetry 105) [1 pt.] How many lines of symmetry does a square have? 106) [1 pt.] How many lines of symmetry does an equilateral hexagon have? 107) [1 pt.] How many lines of symmetry does a scalene triangle have? 108) [1 pt.] How many lines of symmetry does an equilateral triangle have? 109) [1 pt.] How many lines of symmetry does a the letter Q have? Copyright 2003 by Brad Jolly Page 20 Next release: On or before September 30, 2003

21 3D Shapes 110) [2 pts.] What is the volume of a brick that is 8 in. long, 4 in. deep, and 3 in. tall? 111) [2 pts.] What is the surface area of a brick that is 8 in. long, 4 in. deep, and 3 in. tall? 112) [2 pts.] Find the surface area of a sphere with a 1 in. diameter. Use 22 / 7 to approximate π. 113) [2 pts.] Find the volume of a sphere with a 1 in. diameter. Use 22 / 7 to approximate π. 114) [2 pts.] What is the surface area of a 6-cm long hollow tube with a 1-cm radius? 115) [2 pts.] What is the volume of a 20-cm tall soup can with a 10-cm diameter base? 116) [2 pts.] To the nearest cubic inch, what is the volume of a sphere of diameter 10 inches? 117) [2 pts.] To the nearest square mm., find the surface area of a sphere of diameter 10 cm. 118) [2 pts.] To the nearest cubic inch, what is the volume of a cylinder with base diameter 10 inches and length 30 inches? 119) [2 pts.] To the nearest square millimeter, what is the surface area of a cylinder with base diameter 20 centimeters and length 50 centimeters? 120) [2 pts.] What is the volume of a rectangular solid that is 10 by 4 by 3 (inches)? 121) [2 pts.] What is the surface area of a rectangular solid that is 12 inches long, 5 inches wide, and 4 inches high? 122) [2 pts.] What is the volume of a cube that is 2 inches long? 123) [2 pts.] What is the surface area of a cube that is 2 inches long? Copyright 2003 by Brad Jolly Page 21 Next release: On or before September 30, 2003