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WorksheetsPractice NCFE Questions
Total questions: 55
Worksheet time: 2hrs 2mins
Name
Class
Date
1.
a)
m∠GHK=90, m∠KHJ=45
b)
m∠GHK=45, m∠KHJ=45
c)
m∠GHK=45, m∠KHJ=90
d)
m∠GHK=90, m∠KHJ=90
2.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
3.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
4.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
5.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
6.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
7.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
8.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
9.
Reflect the figure across the y-axis. What are the coordinates of A'?
a)
(-2, -4)
b)
(2, 4)
c)
(-2, 4)
d)
(2, -4)
10.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
11.
Triangle GHI is reflected across the x-axis. What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
12.
If the triangle is transformed following the rule (x,y)⊣(x+5,y-3), what transformation is modeled?
a)
Dilation
b)
Reflection
c)
Translation
d)
Rotation
13.
If the triangle is transformed following the rule (x,y)⊣(-x,-y), what transformation is modeled?
a)
Dilation
b)
Reflection
c)
Translation
d)
Rotation
14.
Solve for x.
a)
10.5
b)
5
c)
8.5
d)
6
15.
Find the missing length.
a)
x = 15
b)
x = 13
c)
x = 12
d)
x = 11
16.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
angle bisector
17.
Solve for x.
a)
72
b)
67
c)
65
d)
54
18.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
19.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
20.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
21.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
22.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SSA
b)
AAS
c)
ASA
d)
Not necessarily congruent
23.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
24.
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
25.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
26.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
27.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
28.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
29.
What is the correct equation to solve for x?
a)
tan (45) = x/13
b)
cos (45) = x/13
c)
sin (45) = 13/x
d)
sin (45) = x/13
30.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
31.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
32.
Find the probability of drawing a 10 from a standard deck of 52 cards.
a)
1 out of 52
b)
13 out of 52
c)
26 out of 52
d)
4 out of 52
33.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
4/13
c)
8/25
d)
1/3
34.
Clare picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
35.
Clara picks a card at random, puts it back, and then picks another card at random.
a)
Independent
b)
Dependent
36.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond? Are the events inclusive or mutually exclusive?
a)
Inclusive
b)
Mutually Exclusive
37.
If you draw one card from a standard deck, what is the probability of drawing a spade or a red card? Are the events inclusive or mutually exclusive?
a)
Inclusive
b)
Mutually exclusive
38.
Which formula do you use when two events are NOT mutually exclusive? (Mutually Inclusive)
a)
P(A or B) = P(A) + P(B)
b)
P(A or B) = P(A) + P(B) - P(A and B)
c)
P(A and B) = P(A) * P(B)
d)
P (A and B) = P(A) * P(B|A)
39.
Which formula do you use when two events are Independent or Dependent?
a)
P(A or B) = P(A) + P(B)
b)
P(A or B) = P(A) + P(B) - P(A and B)
c)
P(A and B) = P(A) * P(B)
d)
P (A and B) = P(A) * P(B|A)
40.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry
d)
Vertex Form
41.
Use the graph of y=-x2+6x-5 to solve the equation -x2+6x-5=0
a)
(-1,-5)
b)
{3,4}
c)
{1,5}
d)
{2,4}
42.
What is the discriminant?
a)
b²-4ac
b)
b2/2a
c)
4ac
d)
b2±4ac
43.
If the discriminant equals 0, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
44.
Which of the following equations shows the vertex form of a quadratic?
a)
x = -b/2a
b)
x = (-b ±√b2 - 4ac)/2a
c)
y = ax2 + bx + c
d)
y = a(x - h)2 + k
45.
Solve 5 = -2x + x2
a)
No Solution
b)
-3.5 or 1.5
c)
2 or 3
d)
-1.5 or 3.5
46.
Solve 3x2 - 192 = 0
a)
-32 or 32
b)
No Solution
c)
-8 or 8
d)
-64 or 64
47.
Solve 2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
48.
Convert the equation y= x2-2x-5 into vertex form.
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
49.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
50.
Solve for x:
(x + 2)1/2 - 5 = -2
(x + 2)1/2 - 5 = -2
a)
1
b)
5
c)
7
d)
9
51.
Solve for x:
(x + 2)1/2 - 5 = -2
(x + 2)1/2 - 5 = -2
a)
1
b)
5
c)
7
d)
9
52.
Rewrite √(y)5 in exponential form.
a)
y5/2
b)
y2/5
c)
y-5/2
d)
y-2/5
53.
Evaluate 4√(81).
a)
3
b)
9
c)
27
d)
243
54.
How do you isolate a variable raised to the (2/3) power?
a)
cube it
b)
square it
c)
raise both sides to the (3/2) power
d)
raise both sides to the (2/3) power
55.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
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