Worksheetsunit 3 test review
Total questions: 38
Worksheet time: 3hrs 30mins
Name
Class
Date
1.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
2.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
3.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
4.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
5.
The legs form what type of angle?
a)
Acute
b)
Obtuse
c)
Reflex
d)
Right
6.
solve for c
a)
7
b)
9
c)
4
d)
13
7.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
8.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
9.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
10.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
11.
Which equation can be used to solve the word problem: the diagonal of a t.v. is 40 inches and the height is 30. How wide is the t.v.?
a)
302 + 402 = c2
b)
a2 + 402 = 302
c)
302 + b2 = 402
d)
402 + 302 = c2
12.
Challenge! Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.
a)
5
b)
7
c)
10
d)
12
13.
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
a)
6
b)
6.7
c)
3
d)
15.7
14.
a2 + b2 = c2
b = 35 c = 37
b = 35 c = 37
a)
a = 12
b)
a = 11
c)
a = 18
d)
a = 14
15.
a2 + b2 = c2
a = 9 b = 40
a = 9 b = 40
a)
c = 41
b)
c = 65
c)
c = 25
d)
c = 5
16.
What is the formula for Volume of a Cone?
a)
V=π r3h
b)
V=π r2h
c)
V=(1/3)π r2h
d)
V=(4/3)π r3
17.
a)
8.4 ft3
b)
100.5 ft3
c)
25 ft3
d)
16.8 ft3
18.
Find the volume of the cone.
a)
14.13 in3
b)
56.52 in3
c)
169.56 in3
19.
a)
42.4 in3
b)
169.6 in3
c)
56.5 in3
d)
14.13 in3
20.
Find the volume.
a)
400
b)
1200
c)
3600
d)
324
21.
a)
1,767 ft3
b)
7,068.5 ft3
c)
589 ft3
d)
4,417.9 ft3
22.
a)
3 in
b)
15 in
c)
6 in
d)
9 in
23.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
24.
Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.
a)
810 cm3
b)
2543.4 cm3
c)
847.8 cm3
d)
2826 cm3
25.
What is this formula used to find?
V=πr2h
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
26.
Find the volume of the figure. Round to the nearest tenth.
a)
128.6 units³
b)
1,286.1 units³
c)
401.9 units³
d)
5,144.6 units³
27.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
28.
Find the volume.
a)
1,077.02 yd3
b)
269.255 yd3
c)
153.86 yd3
29.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
124.6 in3
b)
87.9 in3
c)
97.5 in3
d)
78.9 in3
30.
Round your answers to the nearest tenth if necessary. Use 3.14 for π.
Find the volume of a sphere with a diameter of 8.2 meters.
Find the volume of a sphere with a diameter of 8.2 meters.
a)
288.5 m3
b)
146.7 m3
c)
326.3 m3
d)
825.5 m3
31.
Round your answers to the nearest tenth if necessary. Use 3.14 for π.
Find the volume of a sphere with a radius of 2.6 inches.
Find the volume of a sphere with a radius of 2.6 inches.
a)
763.7 in3
b)
63.7 in3
c)
73.6 in3
d)
637.6 in3
32.
A steel ball bearing has a diameter of 1.6 centimeters. What is the volume of this steel ball? Round your answer to the nearest tenth if necessary. Use 3.14 for π.
a)
22 cm3
b)
14.6 cm3
c)
9.8 cm3
d)
2.1 cm3
33.
Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
310.2 cm3
b)
379.2 cm3
c)
240.8 cm3
d)
456 cm3
34.
Find the volume of each sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
4.9 in3
b)
13.2 in3
c)
9.2 in3
d)
10.7 in3
35.
Find the volume to the nearest tenth of a sphere with a radius of 11 inches.
a)
5575.3 in3
b)
1520.5 in3
c)
380.1 in3
d)
69.1 in3
36.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
37.
Lucas found a punctured bouncy ball in his basement. He wants to know how much air used to fill up the entire ball. The diameter of the ball is 5 in. Find the volume. Use 3.14 for π.
a)
2.5in.
b)
345.7in.
c)
654.4in.
d)
589in.
38.
An orange has a diameter of 2 inches. What is the volume of the orange? Round to the nearest hundredth.
a)
16.76in3
b)
33.51in3
c)
113.10in3
d)
4.19in3
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