WorksheetsUnit 3 Review
Total questions: 50
Worksheet time: 3hrs 55mins
Name
Class
Date
1.
Side c on a right triangle is ALWAYS the longest.
a)
true
b)
false
2.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
3.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
4.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
5.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
6.
a= 12, b= 35, c= ? Find c
a)
32
b)
37
c)
19
d)
20
7.
What is the name for side c?
a)
head
b)
body
c)
hippopotamus
d)
hypotenuse
8.
Find the missing side
a)
9
b)
26.9
c)
37
d)
18.2
9.
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
10.
John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?
a)
14 blocks
b)
12 blocks
c)
10 blocks
d)
8.5 blocks
11.
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
12.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
13.
Find the distance between these 2 points.
a)
5.8
b)
6.3
c)
8.1
d)
40
14.
Find the distance between the 2 points. Round to the nearest hundredth.
a)
3
b)
2.23
c)
2.24
d)
2.2
15.
In a computer catalog, a computer monitor is listed as being 27 inches. This distance is the diagonal distance across the screen. If the screen measures 15 inches in height, what is the actual width of the screen to the nearest inch?
a)
22 in
b)
23 in
c)
24 in
d)
25 in
16.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
17.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
18.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
19.
Simplify the following:
(x3)6
(x3)6
a)
x9
b)
x18
c)
x6
d)
x3
20.
What is the value of:
(3/4)0
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
21.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
22.
a)
a8b13
b)
a2b7
c)
a15b30
d)
ab
23.
(3xy6)4
a)
81x5y10
b)
12x4y24
c)
81xy24
d)
81x4y24
24.
Doug and his dog Burt are deciding which way they will walk to a friend's house. How much longer is their walk if they take the blue path (L shape) than if they take the pink path (straight path)?
a)
8.06 blocks
b)
11 blocks
c)
19.06 blocks
d)
2.94 blocks
25.
What is the distance the spooky spider travels if it crawls up the entire diagonal inside the coffin.
a)
2 units
b)
6 units
c)
100 units
d)
32 units
26.
A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x?
a)
31.3
b)
32.3
c)
33.3
d)
64
27.
a)
10
b)
14
c)
64
d)
100
28.
Find the length of the diagonal of a square whose side is 4 cm
a)
d=6 cm
b)
d=4√2 cm
c)
d=2√2 cm
29.
If the diagonal of a square is 7, what is the length of each side?
a)
4
b)
4.95
c)
5.23
d)
7
30.
Dr. Bowen has a square rug with a diagonal of 12 feet. She needs to know the side length to ensure it will fit in her house. What is the side length?
a)
12
b)
8
c)
8.49
d)
3.46
31.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
16.4 cm3
b)
31.7 cm3
c)
31.4 cm3
d)
22.0 cm3
32.
What does the r stand for in the formula?
a)
root
b)
radius
c)
rational
d)
rectangle
33.
What does the h stand for in the formula?
a)
radius
b)
diameter
c)
height
d)
hall
34.
How do you find the volume of a cylinder?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
35.
How do you find the volume of a cone?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
36.
How do you find the volume of a sphere?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
37.
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
a)
21 cubic inches
b)
63 cubic inches
c)
66 cubic inches
d)
198 cubic inches
38.
a)
3 in
b)
15 in
c)
6 in
d)
9 in
39.
What is the question?
a)
About how many gallons of water does the tank contain?
b)
What is the volume of the cylindrical tank?
c)
What is the diameter?
d)
What is the height?
40.
What shape are we working with?
a)
Rectangular Prism
b)
Cone
c)
Cylinder
d)
None of the above
41.
What is the volume of the cylindrical tank?
a)
376.8 ft3
b)
3014.4 ft3
c)
753.6 ft3
d)
5652 gallons
42.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
43.
Sara and Alanna each drew a cylinder. Sara drew cylinder A. Alanna drew cylinder B. Which cylinder will have a greater volume?
a)
Cylinder A
b)
Cylinder B
44.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
45.
v = ?
a)
2,144.66 m3
b)
1,608.49 m3
c)
536.17 m3
d)
498.62 m3
46.
V = ?
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
47.
Use pi=3.14. Round to the nearest hundredth.
a)
36.07ft3
b)
288.69ft
c)
288.55ft3
d)
288.6cm3
48.
The Sphere above has a diameter of 20 centimeters.What would be the volume of the sphere?
a)
4,188.8
b)
1,333.3
c)
2,364.3
d)
5,000.3
49.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
50.
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.
a)
22 cm3
b)
14.6 cm3
c)
9.8 cm3
d)
2.1 cm3
100 %
