WorksheetsGov Cup Math 2
Total questions: 82
Worksheet time: 2hrs 37mins
Name
Class
Date
1.
The difference between two positive numbers is 807.64. If one of the numbers is 312.09, what is the other number?
a)
1099.34
b)
1019.64
c)
1119.73
d)
1201.29
2.
The area of a square is 25 square centimeters. What is the length of each side of this square?
a)
4 centimeters
b)
5 centimeters
c)
6 centimeters
d)
3 centimeters
3.
When x = 3, y = 18, and when x = 6, y = 36. What is the value of x when y = 84?
a)
14
b)
20
c)
16
d)
12
4.
David has a baseball card that has a book value of $12.72. How much will the card be worth if its value triples in the next year?
a)
$36.21
b)
$28.39
c)
$38.16
d)
$40.35
5.
Reduce the fraction 20/88 to simplest terms.
a)
10/44
b)
2/12
c)
5/16
d)
5/22
6.
What is the value of the expression 6x + 17, if x = 9?
a)
74
b)
45
c)
71
d)
83
7.
What is the lowest common denominator of the fractions 2/3, 4/5, and 1/4?
a)
20
b)
40
c)
30
d)
60
8.
A train departs a station at 10:05 a.m. and arrives at another station 150 miles away at 1:50 p.m. What was the average speed of the train during this trip? Hint: It may help you to remember the distance formula, distance equals rate times time.
a)
30 miles per hour
b)
35 miles per hour
c)
40 miles per hour
d)
45 miles per hour
9.
What is the area of a triangle that has a base of 5 meters and a height of 12 meters?
a)
30 meters squared
b)
40 meters squared
c)
12 meters squared
d)
60 meters squared
10.
What is the measure of the interior angle of an isosceles right triangle that does not measure 45 degrees?
a)
60 degrees
b)
90 degrees
c)
120 degrees
d)
180 degrees
11.
If a = 4 and b = 13, what is the value of the expression a - b?
a)
-3
b)
9
c)
-9
d)
6
12.
Express the decimal 0.12 as a fraction in simplest terms.
a)
3/22
b)
3/25
c)
1/12
d)
1/20
13.
How many zeroes would appear to the right of the decimal point when writing the fraction fifty-seven ten thousandths as a decimal?
a)
one
b)
two
c)
three
d)
four
14.
Solve the following equation for x.
-2/3x = 12
-2/3x = 12
a)
4
b)
9
c)
18
d)
-18
15.
The sun rose at 6:52 a.m. and set 12 hours and 19 minutes later. What time was the sunset?
a)
6:12 p.m.
b)
7:11 p.m.
c)
7:09 p.m.
d)
7:19 p.m.
16.
Let's combine math and civics for this question. How many more members are in the U.S. House of Representatives than in the U.S. Senate?
a)
300
b)
326
c)
335
d)
403
17.
Solve the following equation for x.
7x - 14 = -2x + 4
7x - 14 = -2x + 4
a)
1
b)
2
c)
4
d)
8
18.
Give the answer to the following subtraction problem using Roman numerals. Subtract IX from LXIV. Give your answer in Roman numeral form.
a)
LV
b)
LX
c)
LI
d)
LM
19.
What whole number is the square root of the mean of 120, 132, 156, and 168?
a)
12
b)
15
c)
13
d)
14
20.
Solve for x in the following equation, if y = 14.
3x + 7y = 119
3x + 7y = 119
a)
7
b)
12
c)
8
d)
9
21.
Find the least common multiple of 3x + 12 and 6x + 24
a)
x + 4
b)
3(x + 4)
c)
6(x + 4)
d)
18(x + 4)
22.
Simplify (7i)(-8i)
a)
56
b)
56i
c)
-56
d)
-56i
23.
Simplify (-1 + 17i) - (15 - 13i)
a)
-16 + 30i
b)
14 + 30i
c)
14 + 4i
d)
-16 + 4i
24.
Given a complex number with the form a + bi, what is true if the number is a nonpure imaginary number?
a)
a = 0, b = 0
b)
a = 0, b ≠ 0
c)
a ≠ 0, b = 0
d)
a ≠ 0, b ≠ 0
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
a)
A
b)
B
c)
C
d)
D
30.
Solve 4x2 + 32 = 0
a)
x = ± 2√2
b)
x = ± 4√2
c)
x = ± 2i√2
d)
x = ± 4i√2
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
A
b)
B
c)
C
33.
a)
A
b)
B
c)
C
d)
D
34.
Simplify √-10 ⋅ √-24
a)
4√15
b)
-4√15
c)
8√15
d)
-8V15
35.
a)
A
b)
B
c)
C
d)
D
36.
Which quadratic equation has solutions x = -1 ± 4i?
a)
x2 - 2x -15 = 0
b)
x2 - 2x + 17 = 0
c)
x2 + 2x +15 = 0
d)
x2 + 2x +17 = 0
37.
If 3x = 594, what is the value of x?
a)
203
b)
198
c)
189
d)
1,782
38.
The difference between two positive numbers is 807.64. If one of the numbers is 312.09, what is the other number?
a)
1099.34
b)
1019.64
c)
1119.73
d)
1201.29
39.
The area of a square is 25 square centimeters. What is the length of each side of this square?
a)
4 centimeters
b)
5 centimeters
c)
6 centimeters
d)
3 centimeters
40.
When x = 3, y = 18, and when x = 6, y = 36. What is the value of x when y = 84?
a)
14
b)
20
c)
16
d)
12
41.
David has a baseball card that has a book value of $12.72. How much will the card be worth if its value triples in the next year?
a)
$36.21
b)
$28.39
c)
$38.16
d)
$40.35
42.
Reduce the fraction 20/88 to simplest terms.
a)
10/44
b)
2/12
c)
5/16
d)
5/22
43.
What is the lowest common denominator of the fractions 2/3, 4/5, and 1/4?
a)
20
b)
40
c)
30
d)
60
44.
What is the value of the expression 6x + 17, if x = 9?
a)
74
b)
45
c)
71
d)
83
45.
A train departs a station at 10:05 a.m. and arrives at another station 150 miles away at 1:50 p.m. What was the average speed of the train during this trip? Hint: It may help you to remember the distance formula, distance equals rate times time.
a)
30 miles per hour
b)
35 miles per hour
c)
40 miles per hour
d)
45 miles per hour
46.
area?
a)
108 cm sq
b)
60 cm
c)
432 cm sq
d)
216 cm sq
47.
What is the surface area of the rectangular prism?
a)
100 cm2
b)
160 cm2
c)
150 cm2
d)
17 cm2
48.
What is the volume of the rectangular prism?
a)
17 in3
b)
87 in3
c)
135 in3
d)
145 in3
49.
solve for the missing angle
a)
45o
b)
90o
c)
22.5o
d)
128o
50.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
51.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
52.
What is the absolute value of -1/5?
a)
1.5
b)
-1/5
c)
0
53.
A sphere has a volume of 100 cubic units. If the length of the radius is tripled, what is the volume in cubic units of the new sphere?
a)
2100 Cubic units
b)
300 Cubic units
c)
2700 Cubic units
d)
900 Cubic Units
54.
How many fluid ounces are in 3 cups?
a)
18
b)
36
c)
24
d)
9
55.
In degrees, what is the measure of the complement of a 25-degree angle?
a)
75 degrees
b)
65 degrees
c)
60 degrees
d)
155 degrees
56.
How many millimeters are in 53 decimeters?
a)
5300
b)
530
c)
5.3
d)
53000
57.
Seven students enter an art contest, in which a first, second, and third prize are awarded. In how many different ways can the winners be chosen?
a)
185
b)
170
c)
210
d)
245
58.
What is the greatest common factor of the numbers 54 and 72?
a)
27
b)
9
c)
18
d)
36
59.
Martha is purchasing a sweater that is priced 60 dollars. When she gets to the register, she finds that the sweater is 30 percent off. Ignoring sales tax, how much will she pay for the sweater?
a)
42 dollars
b)
50 dollars
c)
44 dollars
d)
52 dollars
60.
Calculate the length in units of the hypotenuse of a right triangle with legs measuring 27 units and 36 units.
a)
48 units
b)
62 units
c)
55 units
d)
45 units
61.
What is the next number in the sequence: 2,5,10,17
a)
22
b)
24
c)
26
d)
28
62.
a)
b)
c)
d)
63.
Find the least common multiple of 3x+12 and 6x+24
a)
x+4
b)
3(x+4)
c)
6(x+4)
d)
18(x+4)
64.
Which rational function is graphed?
a)
b)
c)
d)
65.
What is the sum of the solutions to
a)
-11/3
b)
-1/3
c)
11/3
d)
1/3
66.
a)
x = -1
b)
x = -5
c)
x = -1 and x = -5
d)
no vertical asymptotes
67.
a)
y = 0
b)
y = 2
c)
y = -3
d)
y = 1
68.
a)
one unit up
b)
one unit down
c)
one unit to the left
d)
one unit to the right
69.
a)
x = 0
b)
x = 2
c)
x = 0 and x = 2
d)
no solution
70.
What is the value of x to the nearest foot?
a)
6,713 ft
b)
9,534 ft
c)
10,443 ft
d)
12,445 ft
71.
What is the value of x to the nearest tenth?
a)
74.8
b)
77.2
c)
80.3
d)
82.1
72.
The angle of elevation from the surface of the beach to the top of the cliff is 32 degrees. About how tall is the cliff?
a)
106 yards
b)
125 yards
c)
170 yards
d)
320 yards
73.
What is the ratio for cos A?
a)
3/5
b)
5/3
c)
4/5
d)
5/4
74.
What is the ratio for tan A?
a)
b)
c)
d)
75.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
76.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
77.
Find the length of x.
a)
30 units
b)
7.7 units
c)
2.7 units
d)
There is not enough information to determine the length of x.
78.
What is the value of the missing segment?
a)
15
b)
20
c)
6
d)
16
79.
What is the value of the missing segment?
a)
12
b)
9
c)
6
d)
16
80.
The heights of some students are given.
158cm 172cm 164cm
164cm 167cm 159cm
What is the range of the heights?
158cm 172cm 164cm
164cm 167cm 159cm
What is the range of the heights?
a)
13cm
b)
14cm
c)
164cm
d)
330cm
81.
Which number is not the mean, median, mode, or range of the data set 4, 3, 15, 11, 3, 8, 7, 5?
a)
3
b)
6
c)
12
d)
11
82.
a)
-3x3+5x2+C
b)
-9x3+10x2+C
c)
-3x2+5x+C
d)
-x3+x2+C
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