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WorksheetsMath Pentathlon Quiz #1
Total questions: 55
Worksheet time: 2hrs 31mins
Name
Class
Date
1.
Let C={2, 5, 7, 10} and B={x|x is an even whole number less than 9}. Find C U B
a)
{2,4,6,8,10}
b)
{2,4,5,6,7,8,10}
c)
{2, 4, 5, 6, 7, 8, 10}
2.
Which of the following represents the shaded region?
a)
A union B
b)
A intersect B
c)
A ⊂ B
d)
B ⊂ A
3.
Let C={2, 5, 7, 10} and B={x|x is an odd whole number less than 10}. Find C ∩ B
a)
{1,2,3,5,7,9,10}
b)
{2,4,5,6,7,8,10}
c)
{5,7}
4.
If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?
a)
{1, 2, 3, 4, 5, 6, 7, 9}
b)
{1, 2, 3, 5}
c)
{4, 6, 7, 9}
d)
{ }
5.
4.032
a)
Rational
b)
Irrational
6.
√31
a)
Rational
b)
Irrational
7.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
8.
What are the prime factors of 30?
a)
3, 2, 5
b)
1, 2, 3, 5, 6, 15, 30
c)
3, 30
d)
10, 3
9.
Use a number tree to find the prime factorization of 72
a)
2x2x2x3x3
b)
4x3x3x2
c)
4x2x2x2x2
10.
GCF of 24 and 56
a)
2
b)
4
c)
6
d)
8
11.
What is the greatest common factor of 6 and 21?
a)
6
b)
2
c)
3
d)
7
12.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
13.
What is nine cubed in exponential form?
a)
9 x 9 x 9
b)
93
14.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
15.
Evaluate
√36
√36
a)
6
b)
-9
c)
18
d)
-18
16.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
17.
What is 4⁰?
a)
0
b)
1
c)
4
d)
10
18.
What is 2³ + 3³
a)
15
b)
26
c)
35
d)
43
19.
Evaluate the expression: 16 ÷ 2³ + 6 − 2.
a)
4
b)
5
c)
6
d)
7
20.
x3
a)
3x
b)
x * 3
c)
X * X * X
d)
0
21.
3√64
a)
4
b)
6
c)
8
d)
9
22.
3√125
a)
41.666
b)
5
c)
7
d)
3
23.
x3y5/xy4
a)
x2y4
b)
x3y
c)
x2y
d)
x2y5
24.
Evaluate this expression using the quotient rule.
a)
95
b)
99
c)
15
d)
9-5
25.
2.) Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
26.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
27.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
28.
(58) / (53)
a)
55
b)
15
c)
511
d)
111
29.
Classify √35.
a)
Rational, Integer
b)
Whole, Integer, Rational
c)
Irrational, Integer
d)
Irrational
30.
x-3
a)
-3x
b)
x3
c)
1/ x-3
d)
1/ x3
31.
3⁻⁴
a)
1 ⁄ 81
b)
-81
c)
81
d)
1 ⁄ 12
32.
Which expression matches:
The sum of 6 and 5 doubled
The sum of 6 and 5 doubled
a)
2 x 6 + 5
b)
2 x (6 + 5)
c)
6 + (5 x 2)
33.
3 more than x
a)
3x
b)
3 + x
c)
x - 3
34.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
35.
A number less 11
a)
11 - n
b)
n - 11
c)
n/11
d)
11/n
36.
Three times the sum of 2 and e.
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
37.
Evaluate 8a - b if a = 10 and b = 6
a)
74
b)
38
c)
1000
d)
9000
38.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
39.
Evaluate n + 5² for n=3
a)
13
b)
8
c)
25
d)
28
40.
Solve for k:
3k + 5 = 23
3k + 5 = 23
a)
k = 4
b)
k = 5
c)
k = 6
d)
k = 7
41.
5=7s-9
a)
2
b)
6
c)
7
d)
8
42.
24.3 + n = 125.32
a)
101.02
b)
127.76
c)
1.02
d)
102
43.
IR = V
(solve for R)
(solve for R)
a)
R = IV
b)
R = I/V
c)
R = V/I
d)
R = V - I
44.
Solve:
y = mx + b , for b
y = mx + b , for b
a)
y - mx = b
b)
y + mx = b
c)
y/mx = b
d)
y + mx = -b
45.
Solve for x.
z = xy
z = xy
a)
x = z/y
b)
x = y/z
c)
x = yz
d)
y = xz
46.
In slope intercept form (y=mx+b) what is the "b"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
A point
47.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
48.
Find the slope of the line that passes through
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
49.
What is the slope of the equation?
y = -3x + 4
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
50.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
51.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
52.
If there are 5 soccer players, 10 baseball players, and 15 basketball players, what is the ratio of baseball players to soccer players?
a)
1 to 2
b)
1 to 3
c)
2 to 1
d)
3 to 1
53.
***PROPORTION***
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?
a)
8 minutes
b)
9 minutes
c)
16 minutes
d)
18 minutes
54.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
55.
Solve the proportion below
a)
21
b)
7
c)
8
d)
24
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