Math 112



Math 112

Test #2

Spring 2008/Review Spring 2012

Multiple Choice: Choose the answer that best suits as the solution to the question.

1. True or False: The following dimensions are possible for a rectangular forest with an area of 12 square kilometers: 4 km by 3 km; and 6 km by 2 km.

a) True

b) False

2. A rectangular room has a perimeter of 56 feet. Can you find the area of the room without any additional information?

(a) Yes

(b) No

3. You have the area of a square is 36 square meters. Can you find the perimeter of the square without any additional information?

(a) Yes, the perimeter is 36 meters

(b) Yes, the perimeter is 24 meters

(c) Yes, the perimeter is 16 meters

(d) No, you cannot find the perimeter of the square.

4. Given the rectangle below, find the area and perimeter:

[pic]

a) The area equals 50 inches and the perimeter equals 45 square inches

b) The area equals 45 square inches and the perimeter equals 50 inches

c) The area equals 50 square inches and the perimeter equals 45 inches

d) The area equals 45 inches and the perimeter equals 50 square inches

e) None of the above

5. Given the rectangular prism below, what is the volume?

[pic]

a) Volume = 60 cubic inches

b) Volume = 70 square inches

c) Volume = 103 cubic inches

d) Volume = 70 cubic inches

e) None of these

6. In the given right triangle below, side QR must be:

[pic]

a) Less than 12 cm.

b) Between 7 cm and 12 cm.

c) Greater than 12 cm.

d) Less than 7 cm

e) None of these.

7. If the area of a triangle ABC is given as 40 cm[pic]and the base of the triangle is given as segment AB with the measure of 10 cm, find the height of the triangle below and the location of the height on the diagram.

[pic]

(a) Segment AC with height of 4 cm

(b) Segment DC with height of 4 cm

(c) Segment AC with height of 8 cm

(d) Segment DC with height of 8 cm

(e) None of the above

8. Find the area of the given triangle below:

[pic]

(a) 84 yd[pic]

(b) 168 yd[pic]

(c) 600 yd[pic]

(d) 300 yd[pic]

(e) None of the above

9. The circumference of a circle is given as 22[pic] cm[pic]. The area of the same circle is:

(a) 11[pic] cm[pic]

(b) 22[pic] cm[pic]

(c) 121[pic] cm[pic]

(d) 111[pic] cm[pic]

(e) None of the above

10. There is a building with a 12 ft high window. You want to use a ladder to go up to the window, and you decide to keep the ladder 5 ft away from the building to have a good slant. How long should the ladder be?

(a) 10.9 feet

(b) 169 feet

(c) 15 feet

(d) 13 feet

(e) None of these

11. Given the diagram below, find the circumference of the inscribed circle if the area of the square is 100 cm[pic].

[pic]

(a) 10[pic] cm

(b) 5[pic] cm

(c) 25[pic] cm

(d) 18[pic] cm

(e) None of these

12. Given the diagram of the barrel below, the amount of oil that could be contained in the barrel would be a:

[pic]

(a) One dimensional unit

(b) Two dimensional unit

(c) Three dimensional unit

(d) Four dimensional unit

(e) None of these

14. Find the area of the triangle below given that each square is 1 square centimeter.

[pic]

a) 20 cm[pic]

b) 9 cm[pic]

c) 10 cm[pic]

d) 2 cm[pic]

e) None of these

15. Find the area of the apartment floor plan below:

a) 1160 square feet

b) 960 square feet

c) 670 square feet

d) 1280 square feet

e) None of the above

16. Which of the following would be a Pythagorean Triple?

a) 6, 7, 8

b) 7, 8, 9

c) 1, 2, 3

d) 16ft

e) None of these

17. Given the area of a circle is 64[pic]square units, find the circumference of the circle.

a) 25.1 ft

b) 50.2 ft

c) 75.3 ft

d) 113.1 ft

e) None of the above, the circumference cannot be found.

18. Given that the volume of a square pyramid is 27 ft[pic] that is 1 foot tall. What is the perimeter of the base of the pyramid?

(a)18 ft

(b) 9 ft

(c) 27 ft

(d) 36 ft

(e) None of the above

19. If the following figure consists of 7 equal squares, and the total area of the figure of 63, What is the perimeter?

a) 48

b) 64

c) 84

d) 60

e) 63

20. Given the perimeter of a rectangle is 24 inches and the rectangle is 8 inches long, what is the area of the rectangle?

a) 16 square inches

b) 32 square inches

c) 24 square inches

d) 12 square inches

e) None of the above

21. To compute the area of the figure below, one would use:

[pic]

a) 8×12

b) 8 + 12

c) 8 x 10

d) 8 +10

e) None of the above

22. A garden is to be covered with mulch. If the garden is 10ft long and 6 ft wide and it is to be covered in 4 inches of mulch, how many cubic feet of mulch is needed.

a) 20 cubic feet

(b) 30 cubic feet

(c) 10 cubic feet

(d) 60 cubic feet

(e) None of the above

23. Find the area of the shaded region below given the radius of the large circle is 6 inches and the radius of the smaller circle is 3 inches.

[pic]

a) 84.8 square inches

b) 113 square inches

c) 28.2 square inches

d) 141.2 square inches

e) None of these

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