Worksheets2B Review
Total questions: 118
Worksheet time: 4hrs 26mins
Name
Class
Date
1.
What does lateral surface area mean?
a)
Area of the bases only
b)
Area of the bases and sides
c)
Area of the sides only, no bases
d)
None of the above
2.
What does total surface area mean?
a)
Area of sides and bases
b)
Area of sides only
c)
Area of bases only
d)
None of the above
3.
How many bases are in a prism?
a)
1
b)
2
c)
3
d)
4
4.
a)
Area of a Circle
b)
Circumference of a Circle
c)
Area of a Trapezoid
d)
Area of a Triangle
5.
What formula would you use to find the area?
a)
A = bh
b)
A = 1/2 bh
c)
A = 1/2 h (b1+b2)
d)
A = lw
6.
What formula would you use to find the area?
a)
A = bh
b)
A = 1/2 bh
c)
A = 1/2 h (b1+b2)
d)
A = lw
7.
a)
Cone
b)
Sphere
c)
Cube
d)
Cylinder
8.
a)
Cone
b)
Sphere
c)
Cube
d)
Cylinder
9.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches.
Which equation can be used to find the volume of the container?
Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
10.
The _________________is the distance from the center of a sphere to a point on the sphere
a)
diameter
b)
volume
c)
radius
d)
height
11.
What is the correct formula to use when calculating the volume of a cone?
a)
V=(1/3)rh
b)
V=πr2
c)
V=(1/3)πr2h
d)
V=(1/3)πdh
12.
What is the correct formula to use when calculating the volume of a cylinder?
a)
V=πr2h
b)
V=πr3h
c)
V=πdh
d)
V=πd2h
13.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone.
b)
The cone is 1/3 the volume of the cylinder.
c)
They have the same volume.
d)
Their volumes are not related at all.
14.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
15.
What is the volume formula for a pyramid?
a)
V = (4 ∕ 3)πr3
b)
V = (1 ∕ 3)πr2h
c)
V = πr2h
d)
V = (1 ∕ 3)Bh
16.
What is the surface area formula for a cylinder?
a)
A = πrl + πr2
b)
A = 2πrh + 2πr2
c)
A = 4πr2
d)
A = πr2
17.
What is the area formula for a circle?
a)
A = πrl + πr2
b)
A = 2πrh + 2πr2
c)
A = 4πr2
d)
A = πr2
18.
What is the formula for a Prism and cylinder?
a)
b)
c)
d)
e)
19.
What is volume?
a)
The amount of space inside a 2D shape
b)
I don’t understand.............
c)
the surface area
d)
The amount of space inside of a 3D shape
20.
What is the formula for the volume of a Triangular prism?
a)
V=(1/2 x b x l) h
b)
V= (b x h ) h
c)
V=(b2) h
21.
Find the volume of the cylinder.
a)
V=24π2
b)
V=24π3
c)
V=96π2
d)
V=12π3
22.
What is the volume for the rectangular prism?
a)
V=48in3
b)
V= 12 in2
c)
V=47 in3
d)
V= 48 in2
23.
What is the shape of the base?
a)
Triangle
b)
Rectangle
c)
Circle
24.
What is the height of the figure?
(Hint: What is the distance between the bases?)
(Hint: What is the distance between the bases?)
a)
8.5 ft
b)
7.8 ft
c)
9.4 ft.
d)
12.2 ft
25.
What is the formula for finding the lateral surface area of a triangular prism?
a)
LA= Ph
b)
LA= Ph + 2B
c)
LA= 2πrh
d)
LA= Bh
26.
Find the volume for the triangular prism.
a)
311.61 ft3
b)
623.22 ft3
c)
311.61 ft2
d)
249.9 ft3
27.
What do you do to the b value to correctly complete the square?
a)
square it
b)
divide it by 2 and square the result
c)
divide it by 2 and take the square root of the result
d)
divide it by 2 only
28.
When factoring
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
x2 - 4x + 4 = 20,
what goes in the blank?
(x - __ )2 = 20
a)
4
b)
2
c)
8
d)
20
29.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
30.
Find the missing value "c" to create a perfect square trinomial:
x2 – 8x + ___
x2 – 8x + ___
a)
-4
b)
16
c)
4
d)
8
31.
Convert to vertex form.
y = 3x2 +6x - 5
y = 3x2 +6x - 5
a)
y=3(x+1)2 - 8
b)
y=3(x-1) 2 - 8
c)
y=3(x+2)2 - 8
d)
y=3(x-2)2 - 8
32.
Which of the following equations shows the vertex form of a quadratic?
a)
y = mx + b
b)
y = a(x - p)(x - q)
c)
y = ax2 + bx + c
d)
y = a(x - h)2 + k
33.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
34.
What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?
a)
the middle
b)
axis of symmetry
c)
minimum
d)
standard form
35.
What form is this equation in?
2x2+4x-3=0
2x2+4x-3=0
a)
general form
b)
vertex form
c)
factored form
d)
none of these
36.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
37.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
38.
What are the solutions to the system:
y = x2 + 3x - 5
y = x + 3
y = x2 + 3x - 5
y = x + 3
a)
(-4, 2) and (-1, 5)
b)
(-4, -1) and (2, 5)
c)
(2, -1 and (-4, 5)
d)
(-4, 1) and (2, -1)
39.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
40.
Find the x-intercepts of the equation
a)
(-2,0) (4,0)
b)
(-8,0)
c)
(8,0) (-8,0)
d)
No solution
41.
Identify the vertex
a)
(-1,-9)
b)
(0,-8)
c)
(-4,0)
d)
(0,0)
42.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
43.
Factor Completely:
15x2 - 60x
15x2 - 60x
a)
(x - 4)(x - 15)
b)
15(x2 - 4x)
c)
15x(x - 4)
d)
Prime
44.
What is the name of this form:
y = a(x - h)2 + k
y = a(x - h)2 + k
a)
vertex form
b)
standard form
c)
factored form
d)
zero form
45.
What is the name of this form:
y = ax2 + bx + c
y = ax2 + bx + c
a)
vertex form
b)
standard form
c)
factored form
d)
zero form
46.
Solve the following equation for x:
(x - 4)(x + 5) = 0
(x - 4)(x + 5) = 0
a)
x = 4 and x = −5
b)
x = −4 and x = 5
c)
x = 4
d)
x = −5
47.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
48.
√28
a)
7√2
b)
7√4
c)
4√7
d)
2√7
49.
√96
a)
16√6
b)
2√6
c)
4√6
d)
√2
50.
√125
a)
5√5
b)
25√5
c)
5√25
d)
5√2
51.
In simplest radical form,
√80 is equivalent to
√80 is equivalent to
a)
16√5
b)
2√20
c)
4√5
d)
8√5
52.
Simplify √18
a)
3√2
b)
9√2
c)
3√9
d)
2√3
53.
Simplify the following:
a)
A
b)
B
c)
C
d)
D
54.
The expression (2 + 3i)2 is equal to
a)
-5
b)
-5 + 12i
c)
13
d)
13 + 12i
55.
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
56.
a)
11√5
b)
11√10
c)
5√5
d)
12√10
57.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
58.
Simplify the expression
2√5 - √5 + 4√5 + √3
2√5 - √5 + 4√5 + √3
a)
6√5 + √3
b)
5√5 + √3
c)
6√5
d)
6√3
59.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
60.
2.) Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
61.
(y9)-2
a)
y18
b)
y11
c)
1/y18
d)
y9/2
62.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
63.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
64.
According to exponent rules, when we multiply the same base we _______ the exponents.
a)
Multiply
b)
Add
c)
Divide
d)
Subtract
65.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
66.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
67.
Simplify the expression.
a)
6x2y
b)
-2x2y
c)
-6x2y
d)
-6x2y5
e)
6x7y6
68.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
69.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
70.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
71.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
72.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
73.
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
74.
I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
75.
I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
76.
I have been given the long leg in this 30-60-90 triangle. How do I find the hypotenuse?
a)
Divide 8 by √3
b)
Divide 8 by 2
c)
Divide 8 by 2, then multiply that answer by √2
d)
Divide 8 by √3, then multiply that answer by 2
77.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
78.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
79.
Which part of the polygon is 6 km in length?
a)
Side length
b)
Radius
c)
Apothem
80.
Find the area of the polygon. Round your final answer to the nearest tenth.
a)
232.9 units2
b)
160.3 units2
c)
116.5 units2
d)
58.2 units2
81.
A line from the center of a regular polygon at right angles to any of its sides.
a)
apothem
b)
radius
c)
permimeter
d)
area
82.
a)
40 yd
b)
40 yd2
c)
80 yd2
d)
18 yd2
83.
REGULAR in Maths means...
a)
Normal
b)
Two sides have the same length
c)
All sides are equal and all angles are equal
d)
It has right angles
84.
What is a regular polygon?
a)
Polygon with all sides congruent
b)
Polygon with all angles congruent
c)
Polygon with all sides and angles congruent
d)
Polygon with no sides or angles congruent
85.
What is the formula for the sum of the interior?
a)
S=360
b)
S=180(n-2)
c)
n=360/ext. angle
d)
1 int. angle + 1 ext. angle=180
86.
What would be the first step in finding the area of the pentagon?
a)
draw in the apothem
b)
calculate the length of the side
c)
calculate the length of the radius
d)
find the angle measure
87.
Find the area of the pentagon
a)
58.12
b)
47.02
c)
76.08
d)
38.04
88.
Find the value of X
a)
94
b)
25
c)
36
d)
180
89.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
90.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
91.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
92.
What's the measure of one exterior angle of a regular pentagon?
a)
108°
b)
72°
c)
360°
d)
540°
93.
What is the sum of the EXTERIOR angles of an octagon?
a)
360°
b)
1440°
c)
1080°
d)
180°
94.
What's x?
a)
1080°
b)
45°
c)
135°
d)
1440°
95.
If an interior angle of a regular polygon has a measure of 120 degrees, how many sides does it have?
a)
6
b)
12
c)
5
d)
8
96.
If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?
a)
10
b)
3
c)
7
d)
11
97.
What is the "a"?
a)
perimeter
b)
area
c)
adjacent
d)
apothem
98.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
99.
The linear ratio between two similar figures is 4:5. What is the ratio of their perimeters?
a)
4:5
b)
16:25
c)
64:125
100.
If the ratio of 2 round dinner plates is 2:5, what is the ratio of their areas?
a)
2:5
b)
1:5
c)
4:10
d)
4:25
101.
The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?
a)
200: 494
b)
100 : 28
c)
832 : 48
d)
100 : 49
102.
Find the volume.
a)
576 cm3
b)
288 cm3
c)
96 cm3
d)
192 cm3
103.
Two similar pyramids have heights of 4 inches and 7 inches. What is the ratio of the volume of the small pyramid to the volume of the large pyramid?
a)
4:7
b)
16:49
c)
64:343
d)
12:21
104.
Two cones are similar. The radius of the smaller cone is 4 in. The radius of the larger cone is 8 in. If the volume of the larger cone is 256 in3, what is the volume of the smaller cone?
a)
32 in3
b)
128 in3
c)
64 in3
d)
512 in3
105.
What is the formula used to find the volume of a rectangular prism?
a)
V = Lw
b)
V = Lwh
c)
V = 1/2bh
d)
V = 2∏r
106.
Two similar cones have a scale factor of 8/27. What is the ratio of their volumes? Remember to build your box to help you solve.
a)
2/3
b)
64/729
c)
512/19683
d)
8/27
107.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
108.
Solve |x – 12| - 3 = 11.
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
109.
|6 - 2f| = -5
a)
11/2, 1/2
b)
-5, 5
c)
1, 3
d)
⊘ No solution
110.
Solve for r.
−2|−2r − 4| = -12
−2|−2r − 4| = -12
a)
{5,1}
b)
{-5,-1}
c)
{-5,1}
d)
No Solution
111.
Solve for x.
2|x + 1| - 5 = 5
2|x + 1| - 5 = 5
a)
x = 4 & x = 6
b)
x = -4 & x = 6
c)
x = -6 & x = 4
d)
no solution
112.
Absolute value is defined as...
a)
always positive numbers
b)
negative numbers becoming positive
c)
distance from zero
d)
numbers on the number line
113.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
114.
When x is greater than 2, what equation is shown in the graph?
a)
f(x) = 3
b)
f(x) = x
c)
f(x) = abs(x)
d)
f(x) = abs(x-1)
115.
When x is less than or equal to 2, what equation is shown in the graph?
a)
f(x) = 3
b)
f(x) = x
c)
f(x) = abs(x)
d)
f(x) = abs(x-1)
116.
Which of the 3 piecewise equations is depicted by the graph? (Take your time)
a)
f(x)
b)
g(x)
c)
h(x)
117.
Match the graph with the correct equation.
a)
b)
c)
d)
118.
Match the graph with the correct equation.
a)
b)
c)
d)
100 %
