Download x y z w a b c d

Math 254CM
Exam 5—Study Guide
Instructor: Gabby Rodriguez
Fall 2015
A basic calculator will be allowed during the exam, as well as the Geometry handout
and the Measurements handout. (I will provide a copy of these.)
1. a) Find the supplement of a 65º angle.
b) Find the complement of a 65º angle.
2. Give one pair of vertical angles, one pair of supplementary angles, one pair of
alternate interior angles, one pair of alternate exterior angles and one pair of
corresponding angles.
w x
y z
a b
c d
3. 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.
_______________
4. Use the triangle given to find the measure of ∠x .
25º
x
95º
5. Find the perimeter of the figure.
8 feet
20 feet
13 feet
14 feet
6 feet
6. Find the area of the figure.
6 feet
14 feet
10 feet
8 feet
7. Find the circumference and area of the circle shown. Use π ≈ 3.14 to find the
approximate circumference of this circle. Do not round.
9 inches
8. Find the circumference and area of the circle shown. Use π ≈ 3.14 to find the
approximate circumference of this circle. Do not round.
15 meters
9. Find the perimeter of the triangle.
7 in
6 in
4 in
10. Find the area of the triangle. Write your answer as a whole number or a mixed
number with the fraction part in lowest terms.
7 yd
yd
11.
Find the area of the trapezoid.
11 feet
10 feet
8.5 feet
8 feet
20 feet
12. A right triangle is removed from a rectangle to create the shaded region shown below.
Find the area of the shaded region.
13. Find the volume of a cylinder (right circular cylinder) that has a height of 14 yards and
a diameter of 8 yards. Use 3.14 for π . Round your answer to the nearest whole
number.
14. Find the volume of the sphere whose diameter is 18 feet. Use 3.14 for π . Round your
answer to the nearest tenth.
15. Find the volume of a cone with a radius of 6 centimeter and a height of 5 centimeters.
Approximate how much ice cream is in the cone. Use 3.14 for π . Do not round.
16. a) Find square root of
121 .
b) Find the square root of
25
.
49
17. Given that the pair of triangles is similar, find the length of the side labeled x. Write a
proportion to receive full credit.
x
11
15
25
18. Given that the pair of triangles is similar, find the length of the side labeled x.
x
9.6
14
12
6.4
8
19. Deb wants to measure the height of a tree. She sights the top of the tree, using a
mirror that is lying flat on the ground. The mirror is 34 feet from the tree, and Deb is
standing 9.1 feet from the mirror. Her eyes are 5 feet above the ground. How tall is
the tree? Round your answer to the nearest foot. (The figure is not drawn to scale.)
20. Convert 114 inches to feet.
21. Convert 7.25 tons to pounds.
22. Convert 120 fluid ounces to quarts.
23. Convert 7
1
yards to inches.
2
24. Convert 2 quarts to cups.
25. Convert as indicated. Use only whole numbers.
a) 54 inches = _______feet ________in
b) 6 feet 1 inch = ______ in
c) 30 ounces = ______pounds ______ounces
26. Two dressers are placed side by side. One dresser is 3 feet 6 inches wide, and the
other is 4 feet 9inches wide. Together, how wide are they? Write your answer in feet
and inches.
27. A flowerbed has the shape of a rectangle 6 yards long and 4 yards wide. What is the
area in square feet?
28. a) Convert 7435 milligrams to grams.
b) Convert 0.68 liters to milliliters.
c) Convert 1.7 meters to centimeters.
29. A can of soda weighs 336 grams. Find the weight, in kilograms, of 24 cans.
30. Ashley is on the swim team. Each day she swims 750 m. How far does she swim in 7
days? Write your answer in kilometers.
31. a) Convert 27 inches to centimeters.
b) Convert 11.5 meters to feet.
(On the exam I will ask you to state which conversion you used.)
32. a) Convert 240 minutes to hours.
b) Convert 8 minutes to seconds.
33. a) Convert 102° F to degrees Celsius. If necessary, round to the nearest tenth of a
degree.
b) Convert 48º C to degrees Fahrenheit. If necessary, round to the nearest tenth of a
degree.
34. Write this ratio as a fraction in simplest form without any units.
32 quarts to 7 gallons
35. A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in miles per
minute? How many miles will the cyclist travel in 5 minutes?