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Math Academic Team 20/21 Practice

Total questions: 128

Worksheet time: 4hrs 16mins

Name
Class
Date
1.

What is the distance between (-5, 3) and (4, -5)?

a)

−145\sqrt{-145}

b)

145\sqrt{145}

c)

145

d)

-145

2.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
3.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
4.
Which set of equations does NOT represent a set of parallel lines? HINT: solve for y where necessary
a)
y = 2x + 42x - y = 6
b)
y - 3 = 4(x + 3)y = 3x - 2
c)
y - 2 = 6(x + 2)3x + y = 12
5.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
6.
A line is parallel to   y = 2x - 7.
What is it's slope?
a)
-2
b)
1/2
c)
-1/2
d)
2
7.
Name the x- and y-intercepts for the equation:
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
8.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
9.

What is the area of the parallelogram above?

a)

13 cm2

b)

28.5 cm2

c)

45.6 cm2

d)

40 cm2

10.

What is the area of the parallelogram?

a)

63 cm2

b)

72 cm2

c)

56 cm2

11.

Which of the following is true about the diagonals of a square? Select all that are true.

a)

Diagonals bisect each other

b)

Diagonals are congruent

c)

Diagonal are perpendicular

d)

Diagonals bisect the angles

12.
HIJK is a rectangle. Find the value of length of each diagonal.
HJ = 3x + 5  and IK = 5x - 9 
a)
7
b)
14
c)
26
d)
7/3
13.

What are the lengths of the 2 diagonals?

a)

22 and 24 m

b)

5.5 and 6 m

c)

44 and 48 m

d)

14 and 12 m

14.

What is the area of the rhombus?

a)

264 m2

b)

448 m2

c)

121 m2

d)

255 m2

15.

What is the area of this kite?

a)

336 in 2

b)

26 in 2

c)

108 in2

d)

672 in 2

16.

find the area

a)

19.5 m2

b)

78 m2

c)

39 m2

d)

27 m2

17.

find the area

a)

70

b)

35

c)

140

d)

60

18.
What is the area of this rhombus?
a)
48 cm2
b)
24 cm2
c)
16 cm2
d)
32cm2
19.

How many acute angles must an acute triangle have?

a)

1

b)

2

c)

3

d)

4

20.

A triangle that has no equal sides is called as __________

a)

Equilateral triangle

b)

Isosceles triangle

c)

Scalene triangle

d)

None of the above

21.

In an obtuse angled triangle, how many angles are more than 90 degrees?

a)

1

b)

2

c)

3

d)

4

22.

Does an obtuse triangle contain more than one angle that measures more than 90 degrees?

a)

yes

b)

no

23.

A triangle with all angles less than 90 degrees is called as

a)

Obtuse angled triangle

b)

Acute angled triangle

24.

What is the name of this kind of triangle?

a)

Right triangle

b)

Isosceles Triangle

c)

Scalene Triangle

d)

Equilateral triangle

25.
Look at the sides and angles of this triangle. Which type of triangle is pictured?
a)
Equilateral Triangle
b)
Right Isosceles Triangle
c)
Obtuse Scalene Triangle
d)
Obtuse Equilateral Triangle
26.
Look at the sides of this triangle. What type of triangle is this?
a)
scalene
b)
acute
c)
equilateral
d)
isosceles
27.
What type of triangle? 
a)
Acute
b)
Obtuse
c)
Right
d)
Isosceles
28.

Classify the given triangle.

a)

Acute Triangle

b)

Equilateral Triangle

c)

Isosceles Triangle

d)

Obtuse Triangle

29.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
30.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
31.
In the equation (x-4)2+(x-3)2=25, the center of the circle is at...
a)
(-3, -4)
b)
(4, 3)
c)
(-4, -3)
d)
(3, 4)
32.
Which graph corresponds to 
(x)2+ (y-6)2=9
a)
A
b)
B
c)
C
d)
D
33.
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
a)
(x - 2)2 + (y + 5)2 = 36
b)
(x - 5)2 + (y + 2)2 = 6
c)
(x + 5)2 + (y - 2)2 = 36
d)
(x + 2)2 + (y - 5)2 = 6
34.
What is the area of this circle?
a)
1256.64
b)
31.41
c)
314.16
d)
123.12
35.
What is the area of this circle?
a)
201.06
b)
50.27
c)
123.12
d)
94.43
36.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's area?
a)
31.25 m2
b)
29.55 m2
c)
30.36 m2
d)
28.26 m2
37.
Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the area of Jayne’s lollipop be? Use π = 3.14. (You are going to have to find the diameter then radius before finding area.)
a)
50.24 in.2
b)
200.96 in2
c)
12.56 in. 2
d)
78.88 in.2
38.
what is the area of this semicircle ?
a)
100.48cm2
b)
80cm2
c)
200.96cm2
d)
none of the above
39.
A circle has an circumference of 56.52 cm. Find the area of the circle.
a)
1017.36 cm2
b)
254.34 cm2
c)
3194.51 cm2
d)
798.63 cm2
40.
If the circumference of a circle is 600 mm, what is the diameter?
a)
30 mm
b)
95.54 mm
c)
191.08 mm
d)
360000 mm
41.
Jesse used rope to stake a circular region in which to plant a garden. The diameter of the region is 20 inches. What is the approximate area of half of the garden?
a)
31.4 in2
b)
314 in2
c)
157 in2
d)
628 in2
42.
Name the dimensions:
a)
6x2
b)
2x6
c)
12
d)
36
43.
Name the dimensions
a)
3x1
b)
1x3
c)
3
d)
1
44.
Subtract
a)
3    -8
0   -1
b)
3   -4
8  -13
c)
-3   8
0    1
d)
3   -8
-8    1
45.
How many rows are in a 7 x 3 matrix?
a)
7
b)
3
c)
21
d)
10
46.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
47.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
48.
Subtract
a)
3    -8
0   -1
b)
3   -4
8  -13
c)
-3   8
0    1
d)
3   -8
-8    1
49.

Given matrices A and B find B+A

a)
b)
c)
d)
50.

Find A + B

a)
b)
c)
d)
51.

Find X - Y

a)
b)
c)
d)
52.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

( 2 x 2 )

b)

( 6 x 2)

c)

( 2 x 6 ) )

d)

( 3 x 2 )

53.
find: B*A
a)
47     30
9     5
b)
17     15
42     35
c)
10     25
7     1
d)
not possible because rows do not match columns
54.

Perform the matrix multiplication, if possible.

a)
b)
c)
d)

Cannot be multiplied, dimensions not compatible.

55.

Perform the matrix multiplication, if possible.

a)
b)
c)
d)

Cannot be multiplied, dimensions not compatible.

56.

Perform the matrix multiplication, if possible.

a)
b)
c)
d)

Cannot be multiplied, dimensions not compatible.

57.

Find -3A

a)
b)
c)
d)

Does Not Exist

58.

Find -2C + 5D

a)
b)
c)
d)

Does Not Exist

59.
How many columns are in a 5 x 4 matrix?
a)
5
b)
4
c)
20
d)
9
60.
In Matrix R (pictured) what is the value of element R3,2
a)
8
b)
9.01
c)
6
d)
1
61.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
62.
What must be true in order to ADD two matrices?
a)
They must be square.
b)
The dimensions must be equal.
c)
The determinant can't equal 0.
d)
The column of the 1st must equal the row of the 2nd.
63.

What size is this matrix?

a)

2x2

b)

2x3

c)

3x2

d)

1x6

64.

What is the determinant of this matrix?

a)

-2

b)

2

c)

10

d)

24

65.

What is the determinant of this matrix?

a)

5

b)

-5

c)

0

d)

-12

66.

What is the formula for the determinant of a 2x2 matrix?

a)

ad-bc

b)

ab-cd

c)

ad+bc

d)

(a+d)(b+c)

67.

What is the determinant of this matrix?

a)

0

b)

24

c)

-24

d)

-12

68.

Will this matrix have an inverse?

a)

Yes

b)

No

c)

Unable to Determine

69.

Are these matrices inverses of each other?

a)

Yes

b)

No

c)

Unable to Determine

70.
Find A+B
a)
8     10
8      1 
b)
12     25
7     1
c)
10     30
0     1
d)
can't add two together because the rows dont match columns
71.

What would be the dimensions (output) of AB?

a)

undefined

b)

2 X 2

c)

3 X 2

d)

3 X 3

72.

What would be the dimensions (output) of AB?

a)

undefined

b)

2 X 2

c)

3 X 2

d)

3 X 3

73.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
74.

Find the determinant of the given matrix?

a)

5

b)

-5

c)

0

d)

-75

75.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
76.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
77.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

78.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

79.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

80.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

81.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

82.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

83.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

84.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

85.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

86.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

87.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

88.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

89.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

90.

Evaluate the determinant. Type the answer in the space given. (Type the number ONLY.)

(a)  

91.
Determine whether the matrices are multiplicative inverses.
a)
Yes
b)
No
c)
Elevator
d)
Pi
92.
Determine whether the matrices are multiplicative inverses.
a)
Yes
b)
No
c)
Workout
d)
Valut-Tech
93.
Solve the system using matrices
x + 2y = 2
5x - 6y = - 54
a)
(-6, 4)
b)
(-8, 4)
c)
(8, 4)
d)
(6, 4)
94.
Solve the system using matrices
3x - 8x = 32
x + y = 7
a)
(-8, 1)
b)
(8, -1)
c)
(-1,8)
d)
(1, -8)
95.

Solve system by using Cramer's Rule. Answers are written in the following form (x,y)
 4x+6y=34x+6y=3  
 8x−3y=18x-3y=1  

a)

 (14,13)\left(\frac{1}{4},\frac{1}{3}\right)  

b)

 (−13,14)\left(-\frac{1}{3},\frac{1}{4}\right)  

c)

 (13,14)\left(\frac{1}{3},\frac{1}{4}\right)  

d)

 (14,−13)\left(\frac{1}{4},-\frac{1}{3}\right)  

96.

Solve system by using Cramer's Rule. Answers are written in the following form (x,y)
 2x+3y=152x+3y=15  
 x−3y=3x-3y=3  

a)

 (1,6)\left(1,6\right)  

b)

 (6,−1)\left(6,-1\right)  

c)

 (6,1)\left(6,1\right)  

d)

 (−1,6)\left(-1,6\right)  

97.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

98.

Translate the blue shape to the green shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

99.

Translate shape A to shape C...

a)

3 Right

5 Up

b)

3 Left

5 Down

c)

2 Left

4 Up

d)

2 Right

4 Down

100.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
101.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
102.
What is the vertex for
f(x)=4(x-2)2 + 3
a)
(-2, 3)
b)
(2,-3)
c)
(4,3)
d)
(2,3)
103.
Does the parabola
f(x)=4(x-2)2 + 3
open up or down?
a)
up
b)
down
104.
What is the vertex of the parabola: y=2(x-3)2+4
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
105.
What is the y-intercept?
f(x) = -2x2 + 4x - 6
a)
(0, 6)
b)
(0, -6)
c)
(6, 0)
d)
(-6, 0)
106.
What is the axis of symmetry?
f(x) = x2 - 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
107.
What is the vertex?
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
108.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
109.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
110.

The standard form of a quadratic function is

a)

ax2 + bx + c

b)

a(x - h)2 + k

c)

y - y1 = m(x - x1)

d)

Ax + By = C

111.

If a is negative in the function, which way does the parabola

a)

up

b)

down

c)

left

d)

right

112.

Identify A, B, and C if y=3x2-8+5x

a)

A=3, B=5, C=-8

b)

A=3, B=-8, C=5

c)

A=3x2, B=5x, C=-8

d)

A=3x2 , B=-8, C=5x

113.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
114.
What was the name of the first satellite that Russia sent to space?
a)
Sputnik
b)
Sputnik II
c)
Explorer 1
d)
Vanguard
115.
What school did Mary Jackson fight to attend?
a)
University of Virginia
b)
Howard University
c)
Hampton High School
d)
Virginia Technical School
116.
Whose husband died? 
a)
Mary
b)
Christine
c)
Katherine
d)
Dorothy
117.
How did the machines affect female mathematicians?
a)
They were noisy and distracted the women from working.
b)
The women were in danger of losing their jobs to the machines.
c)
All answers are correct.
d)
No answers are correct.
118.
What did they call the female mathematicians?
a)
Lab Ladies
b)
Computers
c)
Mathematicians
d)
Calculators
119.
Which of the women was promoted to Supervisor of the Programming Department?
a)
Dorothy 
b)
Katherine
c)
Mary
d)
Vivian
120.
Why did John Glenn want Katherine to return to the space Task Group?
a)
To recheck the calculations for the landing coordinates.
b)
To calculate the go/no go formula.
c)
To program the computers.
121.
What year was the NASA Space Race?
a)
1960
b)
1961
c)
1962
d)
1963
122.
What math was used to help solve the problem of getting the astronauts into space?
a)
Euclidean Geometry
b)
Trigonometry
c)
Analytical Geometry
d)
Differential Equations
123.
What country was the United States in a "space race" with?
a)
Russia
b)
Cuba
c)
China
d)
Mexico
124.
What was the name of the astronaut that Katherine helped into orbit?
a)
John Glenn
b)
Neil Armstrong
c)
Louis Armstrong
d)
Glenn Johnson
125.
 What was the programming language that Dorothy Vaughn learned to use with the IBM computer?
a)
Fortran
b)
Python
c)
Java
d)
Scala
126.
What organization did Katherine, Mary, and Dorothy work for?
a)
National Science Foundation (NSF)
b)
The Planetary Society (TPS)
c)
National Aeronautics and Space Administration (NASA)
127.
Why was Dorothy nervous about NASA's new IBM 7090 computer?
a)
It could put the entire department out of a job
b)
It was dangerous to have in the building
c)
Most people didn't know what a computer was back then
128.
What did Dorothy do to make herself and her department vital to NASA (and keep their jobs)?
a)
She taught herself (and then others) how to operate the IBM
b)
She sabotaged the IBM so they still needed them
c)
She couldn't read

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