Essential Mathematics Practice Problems for Exam 5 Chapter 8
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1 Math 254B Essential Mathematics Practice Problems for Eam 5 Chapter 8 Name Date This eam is closed book and closed notes, ecept for the Geometry Formula sheet that is provided by the instructor. You can use an arithmetic calculator. Please show any work necessary to get partial credit. To receive full credit your answers must have the appropriate units. Be sure to show your answers clearly. The eam will have approimately 20 problems. Do these problems on separate paper. 1. a) Find the supplement of a 65º angle. b) Find the complement of a 65º angle. 2. a) Find the measure of BEA in the figure. A 50º B 38º C b) Find the measure of BED in the figure. E 35º D 3. The two horizontal lines are parallel. Find the measures of angles w,, y and z in the figure. 115º z y w 4. Are the following statements true or false? A rhombus is also a square. An obtuse angle measures between 0º and 90º. A parallelogram is always a rectangle.
2 5. Use the triangle given to find the measure of. 25º 95º 6. Find the perimeter of the figure below. 20 feet 13 feet. Find the area of the following figure. 14 feet 6 feet 6 feet 14 feet 10 feet 8. a) Find the eact circumference of the circle shown. 9 inches (b) Then use π 3.14 to find the approimate circumference of this circle. Round to the nearest hundredth. 9. (a) Find the eact area of the circle shown. 15 meters 22 (b) Then use π to find the approimate area of this circle. Give your answer as a mied number with the fraction part in lowest terms.
3 10. Find the perimeter of the triangle. in 4 in 6 in 11. Find the area of the triangle. Write your answer as a whole number or a mied number with the fraction part in lowest terms. yd yd 12. a) Find the perimeter of the trapezoid. b) Find the area of the trapezoid. 8.5 feet 11 feet 10 feet 20 feet 13. a) How much fencing is needed to enclose a rectangular garden that measures 105 feet by 60 feet? b) If the fencing material cost $3.50 per foot, what is the total cost of the fencing material? 14. A rectangular picture frame measures feet by 4 feet. Find how many square feet of glass the frame requires. Write the answer as a whole number or a mied number with the fraction part in lowest terms. 15. A swimming pool company advertises that solar covers are on sale for $1. per square foot. How much would a cover cost for a 36-foot by 18-foot rectangular pool? 16. Find the volume of a right circular cylinder that has a height of 14 yards and a diameter of 8 yards. Use 22 for π. Write the answer as a whole number or a mied number with the fraction part in lowest terms.
4 1. Find the volume of the sphere, in cubic feet. Use 22 for π. Write the answer as a whole number or a mied number with the fraction part in lowest terms. r = 9 ft. r 18. An ice cream cone with a 6 centimeter diameter and a height of 5 centimeters is filled eactly level with the top of the cone. Approimate how much ice cream is in the cone. Use 22 for π. Write the answer as a whole number or a mied number with the fraction part in lowest terms. 19. a) Find square root of 121. b) Find the square root of c) Circle the correct answer: 40 is between (i) 4 and 5 (ii) 5 and 6 (iii) 6 and 20. The two triangles below are similar. Find the ratio of the corresponding sides. Write your answer in simplest form Given that the pair of triangles is similar, find the length of the side labeled. Write a proportion to receive full credit
5 22. Given that the pair of triangles is similar, find the length of the side labeled. Write a proportion to receive full credit If a 30-foot tree casts an 18-foot shadow on the ground, find the length of the shadow cast by a 24-foot tree. Write a proportion to receive full credit. 24. At a certain time of day, a 24-foot telephone pole casts a 6-foot shadow on the ground. If another telephone pole casts a shadow that is 5 feet long, how tall is the second telephone pole? Write a proportion to receive full credit. 25. On a certain map, 1 inch = 30 miles. If on this map two cities are 2.5 inches apart, how many miles apart are the actual cities?
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