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June 20th

June 20th

# Math 1106 Practice Test

27)

a = 3.9 in., b = 10.7 in.

A) 41.73 in.2
B) 15.6 in.2
C) 14.6 in.2
D) 83.46 in.2

Objective: (9.3) Find Area of Quadrilateral

28)

A) 1298.5 ft2
B) 1029 ft2
C) 2058 ft2
D) 1200.5 ft2

Objective: (9.3) Find Area of Triangle

29)

A) 575 in.2
B) 1058 in.2
C) 1150 in.2
D) 2300 in.2

Objective: (9.3) Find Area of Triangle

Solve the problem . Use 3.14 for π.

30) Find the diameter.

A) 22.5 cm
B) 141.3 cm
C) 90 cm
D) 6358.50 cm

Objective: (9.3) Find Radius, Diameter, Circumference

31) Find the radius of a circle given that its area is 196π m2.

A) 28 m
B) 14π m
C) 196 m
D) 14 m

Objective: (9.3) Find Radius, Diameter, Circumference

Find the area of the circle. Use 3.14 for π. Round results to two decimal places .

32) A semicircle with radius 3.5 yd

A) 21.98 yd2
B) 38.47 yd2
C) 19.23 yd2
D) 43.96 yd2

Objective: (9.3) Find Area of Circle

33) A circle with diameter 12.0 ft

A) 75.36 ft2
B) 452.16 ft2
C) 113.04 ft2
D) 37.68 ft2

Objective: (9.3) Find Area of Circle

Solve the problem. Use 3.14 for π.

34) A circular fountain has a statue in its center, 5 m from the edge. What is the distance around the fountain?
Round results to the nearest tenth of a unit.

A) 29.4 m
B) 25.0 m
C) 31.4 m
D) 15.7 m

Objective: (9.3) Solve Apps: Area, Perimeter, Circumference

35) A rectangular sheet of paper is 58 in. by 37 in. An area in the shape of a paralle logram with a height of 19 in.
and a base of 38 in. is cut from the paper. How much area is left over?

A) 2868 in.2
B) 1785 in.2
C) 1424 in.2
D) 360 in.2

Objective: (9.3) Solve Apps: Area, Perimeter, Circumference

36) A rectangular Persian carpet has a perimeter of 168 inches. The length of the carpet is 20 inches more than the
width. What are the dimensions of the carpet?

A) 52 inches by 72 inches
B) 32 inches by 52 inches
C) 74 inches by 94 inches
D) 64 inches by 84 inches

Objective: (9.3) Solve Apps: Area, Perimeter, Circumference

Solve the problem.

37) Given that the rectangle has a perimeter of 98 feet, find the value of x .

A) 19 meters
B) 16 meters
C) 17 meters
D) 18 meters

Objective: (9.3) Find Missing Length Given Perimeter/Area/Circumference

38) Given that the square has an area of 13.69 square centimeters, find the value of x.

A) 3.1 centimeters
B) 3.5 centimeters
C) 3.8 centimeters
D) 3.7 centimeters

Objective: (9.3) Find Missing Length Given Perimeter/Area/Circumference

39) Given that the trapezoid has an area of 52 square meters, find the value of x.

A) 10 meters
B) 15 meters
C) 20 meters
D) 5 meters

Objective: (9.3) Find Missing Length Given Perimeter/Area/Circumference

40) Johnny can't decide which size pizza to order . The 10-inch cheese and sausage pizza is \$9.99, while the 12-inch
deluxe is \$10.99. If he gets the 10-inch pizza, the total price will be divided among 3 people. If he chooses the
12-inch pizza, then the total price will be divided among 4 people. Which is the better buy? How much will
each person pay? (Use 3.14 for π. The size of a pizza is its diameter.)

A) 12-inch pizza; \$3.33
B) 10-inch pizza; \$3.33
C) 12-inch pizza; \$2.75
D) 10-inch pizza; \$2.75

Objective: (9.3) Solve Apps: Find Cost/Best Buy

41) The shape of a barbeque pit is like a parallelogram with height of 54 in and a base of 60 in. It costs \$0.20 per ft2
to fill the pit with charcoals. How is the total cost?

A) \$54.00
B) \$18.00
C) \$648
D) \$4.50

Objective: (9.3) Solve Apps: Find Cost/Best Buy

Find the area of the figure. Use 3.14 for π. Round approximations to the nearest tenth.

42)

a = 9 cm

A) 47.7 cm2
B) 339.1 cm2
C) 42.4 cm2
D) 190.8 cm2

Objective: (9.3) Find Area of Composite Figure

43)

a = 32 m, b = 20 m, c = 47 m

A) 947.0 m2
B) Not enough data
C) 1104.0 m2
D) 1097.0 m2

Objective: (9.3) Find Area of Composite Figure

Find the area of the shaded region in the figure. Round results to the nearest unit.

44) A small circular pool is enclosed in a square. Find the area inside the square but outside the circle.

A) 3.4 m2
B) 13 m2
C) 19 m2
D) 50 m2

Objective: (9.3) Find Area of Shaded Region

Solve the problem.

45) Find ∠A.

BC = AB = 15 mm.
∠B = 126°

A) 22°
B) 54°
C) 117°
D) 27°

Objective: (9.4) Find Angle/Perimeter of Isosceles Triangle

46) Find the perimeter.

AB = AC = 18 m.
BC = 12 m.

A) 36 m
B) 108 m
C) 48 m
D) 46 m

Objective: (9.4) Find Angle/Perimeter of Isosceles Triangle

For the given pair of similar triangles, name the corresponding side or angle in the other triangle.

47)

A) Cannot be de termined B )

Objective: (9.4) Identify Corresponding Part of Similar Triangle

48) ∠B

A) ∠C
B) ∠T
C) ∠S
D) ∠R

Objective: (9.4) Identify Corresponding Part of Similar Triangle

Give the measure of the missing angle using the similar triangles below.

49)∠ BAC

∆ABC ~∆A'B'C'

A) ∠BAC = 44°
B) ∠BAC = 22°
C) ∠BAC = 41°
D) ∠BAC = 117°

Objective: (9.4) Find Missing Angle Given Similar Triangles

The two triangles be low are similar . Find the unknown side lengths.

50)

A) x = 6
B) x = 4
C) x = 9
D) x = 3

Objective: (9.4) Find Missing Side Length Given Similar Triangles

51) ∆CAB is similar to ∆CSR

Given that SC = 20, AS = 30, RS =6, find AB.

A) 15
B) 16
C) 12
D) 9

Objective: (9.4) Find Missing Side Length Given Similar Triangles

Solve the problem.

52) Julia, who is 1.68 m tall, wishes to find the height of a tree with a shadow 31.05 m long. She walks 18.29 m from
the base of the tree along the shadow of the tree until her head is in a position where the tip of her shadow
exactly overlaps the end of the tree top's shadow. How tall is the tree? Round to the nearest hundredth.

A) 2.67 m
B) 2.85 m
C) 4.09 m
D) 1.68 m

Objective: (9.4) Solve Apps: Use Similar Triangles

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