- Simplify the expression with radicals given below
2 √50 + 12 √8
A) 14 √58
B) 240
C) 280
D) 98
E) 34 √2 - Simplify the expression given below
√27 - √300
A) √-273
B) -7 √3
C) -147
D) 3 - 10√3
E) 7√3 - Simplify the expression with radicals given below
- 2 √(16y) + 10 √y
A) 8 √y
B) 8 √-(15y)
C) 8 √(17y)
D) 2 √(16y)
E) 2 √y - Simplify the expression given below
2 √(x + 1) + 3 √(16x + 16)
A) 14 √(x + 1)
B) 5 √(17x + 17)
C) 5
D) √(17x + 17)
E) 6 √(17x + 17) - 2 √3 + 4 √12 + 3 √48 =
A) 9 √3
B) 9 √63
C) 22
D) 22 √3
E) 9 √48 - Simplify the expression given below and rewrite it without radicals
(√3 + √12) / (√3 - √12))
A) 1
B) 0
C) -3
D) - 1
E) 3 - Simplify the expression with radicals given below
5 √x + 6 √(9x) - 10 √(16x)
A) √x
B) -17 √x
C) √(46 x)
D) -2 √x
E) √(-25 x) - 2 √27 + 2 √75 =
A) 16 √3
B) 4 √3
C) 4 √102
D) 16
E) 204 - √(103) + √(105) =
A) √10,100
B) 110 √10
C) 10,000
D) 2 √1000
E) 2 √100,000 - Simplify the expression and rewrite it without radicals.
√8 √3 √6
A) 144
B) 3
C) 17
D) 12
E) 4
- E
- B
- E
- A
- D
- C
- B
- A
- B
- D
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- Which two lines given by their equations are parallel?
A) x = 2 and y = -2
B) y = 3x + 1 and y = - 3x - 2
C) y = -3x + 100 and y = -3x - 100
D) y = 0 and x = 0
E) y = x and y = -x - Find k so that the lines given by the equations y = 0.5 x and y = - kx + 2 are parallel.
A) 0.5
B) - 0.5
C) 2
D) -2
E) 0 - Which of the lines is parallel to the line defined by -3x + 2y = 6?
A) y = -3x - 6
B) y = - (2/3) x - 5
C) y = (2/3) x + 2
D) y = -2x - 8
E) y = (3/2) x + 9
- Which two lines given by their equations are parallel?
A) x = 2 and y = 2
B) y = 2 and y = - 9
C) y = - x + 100 and y = 2 + x
D) y = (1/2) x and y = (1/2)
E) y = 2 x and y + 2x = 0 - Find A so that the lines given by the equations 2 A x + 3y = 4 and y = - 3x - 5 are parallel.
A) 9 / 2
B) -9 / 2
C) 3 / 2
D) - 3 / 2
E) 3 - Which two lines given by their equations are parallel?
A) x = -2y and y = -2x
B) y = 2 and y = 2x
C) x = 100 and x - 3 = 6
D) y = -(5) x and y = (1/5)
E) y = 0 and x = 0 - Find the slope of the line parallel to the line given by the equation 3x - 5y = 6.
A) 3
B) -3
C) 5 / 3
D) - 5 / 3
E) 3 / 5 - Which of the lines below is not parallel to the line - 12x + 2y = 9?
A) y = - 6x + 12
B) - 2y = - 12x + 1
C) y / 2 = 3x + 12
D) 0.1 y = 0.6 x + 0.2
E) - (2 / 3) y = - 4x - Which of the lines below is parallel to the line - (5 / 2) x + 5 y = 0?
A) y = 2 x
B) y = 0.5 x
C) - x = 5/2
D) y = 5 / 2
E) y = 0.5 - What is the slope of the line parallel to the line given by the equation 5 + y = 2?
A) 5
B) 1
C) 2
D) -1
E) 0
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- Solve 2 x + y = 5 + 3x for x.
A) x = 5 - y
B) x = y + 5
C) x = y - 5
D) x = - 5 - y
E) x = 5 y - Solve 2 s n = s + n for s.
A) s = 2 - 1 / n
B) s = n(2n - 1)
C) s = n / (2n + 1)
D) s = n
E) s = n / (2n - 1) - Solve (2 + x) / y = x + 1 for y.
A) y = (x + 2) / (1 + x)
B) y = (x + 1) / (2 + x)
C) y = (x + 2) / (x - 1)
D) y = (x - 2) / (x - 1)
E) y = (x + 2) / (1 - x) - Solve n = (6x + 11) / (2x + 3) for x
A) x = (3n + 11) / (6 - 2n)
B) x = 3 n
C) x = (3n + 11) / (6 + 2n)
D) x = (3n - 11) / (6 - 2n)
E) x = (3n - 11) / (6 + 2n) - Solve (2 y + t) / (y - t) = 4 for y
A) y = (2 / 5) t
B) y = - (3 / 2) t
C) y = - (2 / 3) t
D) y = - (5 / 2) t
E) y = (5 / 2) t - Solve 2 M G + G / M = 2 / M for G
A) G = 2 M2 + 1
B) G = 2 / (2 M2 + 1)
C) G = 1 / (2 M2 + 1)
D) G = 2 / (2 M2 - 1)
E) G = 2 M2 - The perimeter P of a rectangle of length L and width W is given by P = 2L + 2W. Express L in terms of P and W.
A) L = P - W
B) L = P - 2 W
C) L = P + 2 W
D) L = P / 2 - W
E) L = P / 2 + W - The formula to convert temperatures from Fahrenheit F to Celsius C is given by:
C = (5 / 9) (F - 32).
Solve the above formula for F to obtain a formula to convert Celsius C to Fahrenheit F.
A) F = (9 / 5) C + 32
B) F = (9 / 5) C - 32
C) F = C + 32
D) F = (5 / 9) C + 32
E) F = (5 / 9) C - 32 - The surface area A of a cylinder of radius r and height H is given by
A = 2 pi r2 + 2 Pi r H
Find a formula for H in terms of A and r.
A) H = A / 2 Pi r
B) H = A - 2 Pi r2 - 2 Pi r
C) H = A / 2 Pi r - r
D) H = A / (2 Pi r2) - 2 Pi r
E) H = A / 2 Pi r + r - Solve (z + y) / (x y z) = 2 x for y.
A) y = z / ( 2x 2 + 1)
B) y = x / ( 2z 2 - 1)
C) y = - z / ( 2x 2 + 1)
D) y = z / ( 2z 2 - x)
E) y = z / ( 2x 2 - 1)
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math basic technique
Students must complete the math
placement test before registering
in any mathematics course.
To help you prepare for the test, Questions are multiple choice the practice test.this practice test is provided. You can do this on your own at any time, as often as you wish, just for fun! Please note, this practice test is different in the following ways: You may work with pencil and paper to solve each question, but the answers are given at the end. A description is provided above every practice test question so you can get help, if needed. . Access to a basic scientific calculator will be provided during the test. Don’t worry about questions that are unfamiliar to you. Accurate placement requires finding out what you know and what you don't know. Pay attention to the questions you get wrong on the practice test. If you feel you should know these answers, you may want to review these topics. |
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Math Mcqs
If the average of three numbers is V. If one of the numbers is Z and another is Y, what is the remaining number?
A. ZY – V
B. Z/V – 3 – Y
C. Z/3 – V – Y
D. 3V- Z – Y
E. V- Z – Y
B. Z/V – 3 – Y
C. Z/3 – V – Y
D. 3V- Z – Y
E. V- Z – Y
2. Two cyclists start biking from a trail’s start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?
A. 2 hours
B. 4 ½ hours
C. 5 ¾ hours
D. 6 hours
E. 7 ½ hours
B. 4 ½ hours
C. 5 ¾ hours
D. 6 hours
E. 7 ½ hours
3. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes
4. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?
A. 2x + 5 (x-1) = 9, x = 2
B. p – 3(p-5) = 10, p = 2.5
C. 4 y + 3 y = 28, y = 4
D. 5 w + 6 w – 3w = 64, w = 8
E. t – 2t – 3t = 32, t = 8
B. p – 3(p-5) = 10, p = 2.5
C. 4 y + 3 y = 28, y = 4
D. 5 w + 6 w – 3w = 64, w = 8
E. t – 2t – 3t = 32, t = 8
5. What simple interest rate will Susan need to secure to make $2,500 in interest on a $10,000 principal over 5 years?
A. 4%
B. 5%
C. 6%
D. 7%
E. 8%
B. 5%
C. 6%
D. 7%
E. 8%
7. A study reported that in a random sampling of 100 women over the age of 35 showed that 8 of the women were married 2 or more times. Based on the study results, how many women in a group of 5,000 women over the age of 35 would likely be married 2 or more times?
A. 55
B. 150
C. 200
D. 400
E. 600
8. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
B. 150
C. 200
D. 400
E. 600
8. John is traveling to a meeting that is 28 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time?
A. 25 mph
B. 37 mph
C. 41 mph
D. 49 mph
E. 56 mph
B. 37 mph
C. 41 mph
D. 49 mph
E. 56 mph
9. If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
A. 2 minutes and 44 seconds
B. 2 minutes and 58 seconds
C. 3 minutes and 10 seconds
D. 3 minutes and 26 seconds
E. 4 minutes and 15 seconds
B. 2 minutes and 58 seconds
C. 3 minutes and 10 seconds
D. 3 minutes and 26 seconds
E. 4 minutes and 15 seconds
10. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
A. 0.8 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
E. 1.97 days
B. 1.09 days
C. 1.23 days
D. 1.65 days
E. 1.97 days
11. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?
A. 3 feet
B. 3 ¾ feet
C. 3 ½ feet
D. 3 ¼ feet
E. 2 ½ feet
B. 3 ¾ feet
C. 3 ½ feet
D. 3 ¼ feet
E. 2 ½ feet
12. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?
A. 58%
B. 119%
C. 158%
D. 175%
E. 200%
B. 119%
C. 158%
D. 175%
E. 200%
13. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directly north at 150 mph and the other travels directly west at 200 mph?
A. 50 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
B. 100 miles
C. 500 miles
D. 700 miles
E. 1,000 miles
14. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?
A. 345
B. 1,035
C. 1,725
D. 3,105
E. 9,315
B. 1,035
C. 1,725
D. 3,105
E. 9,315
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Math Mcqs
- What is the next term in the geometric sequence: 1 , - 4 , 16 , -64 , ...?
A) 128
B) 256
C) - 256
D) 1024
E) - 1024 - What is the next term in the geometric sequence: 1 / 2 , - 1 / 4 , 1 / 8 , - 1 / 16 , ...?
A) 1 / 32
B) 1 / 64
C) - 1 / 32
D) - 1 / 64
E) - 2 - What is the 7th term in the geometric sequence: - 0.1 , 0.01 , - 0.001 , 0.0001 , ...?
A) 0.00001
B) - 0.00001
C) 0.000001
D) - 0.000001
E) - 0.0000001
- What is the 10th term in the geometric sequence: 8 , - 4 , 2 , - 1 , ...?
A) 1 / 32
B) 64
C) - 1 / 64
D) 1 / 64
E) - 64 - What is the first A term in the geometric sequence: A , -2 , 6 , - 18 , ...?
A) 1
B) 1 / 2
C) 1 / 3
D) 2 / 3
E) - 2 / 3 - What is the first A term in the geometric sequence: A , -1 , 5 , - 25 , ...?
A) 1 / 5
B) - 1 / 5
C) 5
D) - 5
E) 1 - What is the 20th term in the geometric sequence: 1 , 2 -1 , 2 -2 , 2 -3 , ...?
A) 2 - 20
B) 2 20
C) 2 - 19
D) 2 - 21
E) 2 19 - What is the next term in the geometric sequence: 2 / 5 , - 2 , 10 , - 50 , ...?
A) - 100
B) 100
C) 500
D) - 500
E) 250 - What is the sum of the first 10 terms in the geometric sequence: 1 , 2 , 2 2 , 2 3 , ...?
A) 2 10 + 1
B) 2 10 - 1
C) 2 11 - 1
D) 2 11 + 1
E) 2 10 - What is the sum of the first 6 terms in the geometric sequence: 1 , 0.1 , 0.01 , 0.001 , ...?
A) 1.11
B) 1.111
C) 1.1111
D) 1.11111
E) 1.111111
- B
- A
- E
- C
- D
- A
- C
- E
- B
- D
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Math Mcqs
- What is the slope of the line corresponding to the following linear equation: 6x + 7y + 1 = 0?
A) -6
B) - 6 / 7
C) 6 / 7
D) 7 / 6
E) - 7 / 6 - Find the slope "m" and the x-intercept "a" of the line -2x + 4y = 4.
A) m = 2 and a = 4
B) m = - 2 and a = 1
C) m = 1 / 2 and a = 2
D) m = - 1 / 2 and a = - 2
E) m = 1 / 2 and a = - 2 - Which of the following lines, given by their equations, passes through the points A(9 , 7) and B(1 , 1)?
A) 2y - x = 5
B) x - y = 0
C) 4y - 3x = 0
D) 4y - 3x = 1
E) 4y - 3x = 2
- Given the table of points (x , y) below,
x 0 15 30 45 y - 20 10 40 70
which of the following equations expresses a linear relationship bewteen x and y?
A) y = - 2x - 20
B) y = - 20
C) y = 2x + 20
D) y = x - 20
E) y - 2 x = - 20 - Which of the follwoing lines given by their equations below contains the point (-3 , 4) and is perpendicular to the line - 2x + 4y = 6?
A) y = x + 7
B) y = 2x + 10
C) y = - 2x - 2
D) y = - 2x + 2
E) y = - 2x - Given two lines with their equations 2y = 4x + 4 and y = 2x + 4, which of the follwowing is true about these lines?
A) They are parallel
B) They are perpendicular
C) They intersect at one point
D) They both have negative slopes
E) They have the same graph - Which two linear equations have the same graph?
A) x + y = 0 and x - y = 0
B) x = 2 and y = 2
C) 2y + 8x = 2 and y + 4x = 1
D) 2y + 8x = 2 and y + 4x = 2
E) y + 4x = 2 and y - 4x = 2 - Which two linear equations have graphs that are perpendicular lines?
A) x + y = 0 and 2x + 2y = 4
B) y = 2 and x = 0
C) y = 2 and y = - 1 / 2
D) y = 2 x and y = - 2x
E) x = 4 and x = - 4 - Which of the follwoing equations is an equation of a line?
A) x / 2 + 2 / y = 1
B) x2 + y = 0
C) x ⋅ y = 1
D) - x / 4 + 0.5 y = 1.2
E) 1 / x + 2 / y = 1 / 3 - Which of the equations below is that of a line parallel to the line x / 3 - y / 7 = 1 / 3?
A) 7x - 3y = 5
B) 7x + 3y = 5
C) x / 3 + y / 7 = 1/3
D) - x / 3 - y / 7 = 0
E) x + y = 1 / 3
Answers to the Above Questions
- B
- E
- D
- E
- C
- A
- C
- B
- D
- A
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Math Mcqs
- A(2 , 4) and B(x , 6) are points on a standard coordinate plane. Find x so that point M(6 , 5) is the midpoint of segment AB.
A) 4
B) 10
C) 12
D) - 12
E) - 10 - Find a positive value of y so that the distance between points A(3 , 4) and B(0 , y) is equal to 5.
A) 1
B) 4
C) 5
D) 7
E) 8 - Find the distance between points A(9 , 7) and B(1 , 1).
A) 10
B) 11
C) 12
D) 13
E) 14
- Find the midpoint of the segment defined by points C(4 , - 5) and D(-8 , 9).
A) (2 , 2)
B) (2 , -2)
C) (-2 , 2)
D) (-2 , -2)
E) (6 , 7) - Find x and y so that point M(4 , - 8) is the midpoint of the segment defined by points C(x + 1 , 0) and D(0 , y - 2).
A) (3 , - 6)
B) (8 , - 16)
C) (3 , - 16)
D) (7 , - 14)
E) (7 , 14) - A, B, C and M are points on a standard coordinate plane. M is the midpoint of segment AB and MC is perpendicular to AB. Which of these statments is (are) always true?
(I) Distance between C and B and distance between C and A are equal.
(II) Points A, B and M are collinear
(III) Distance between M and B and distance between M and A are equal.
A) (I) only
B) (II) only
C) (I) and (II) only
D) (I) , (II) and (III)
E) (III) only - A(4 , 8), M(4 , 6) and B are points on a standard coordinate plane. Find the coordinates of point B so that M is the midpoint of segment AB.
A) (0 , 4)
B) (4 , 4)
C) (0 , 0)
D) (4 , - 4)
E) (-4 , -4 ) - A(1 , 3), B(7 , 3) and M are points on a standard coordinate plane. Find the distance between A and M where M is the midpoint of segment AB.
A) 6
B) 36
C) 3
D) 8
E) 12 - Find the distance bewteen points A(-1 , -1) and (2 , 2).
A) 2 √ 3
B) 2 √ 2
C) 4
D) 6
E) 3 √ 2 - A(- 1 , - 10) and B ( 20 , - 2) are points on a standard coordinate plane. The midpoint of segment AB is
A) in Quadrant I
B) in Quadrant II
C) in Quadrant III
D) in Quadrant IV
E) on the x axis
- B
- E
- A
- C
- D
- D
- B
- C
- E
- D
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Math Mcqs
- If polynomials P(x) and Q(x) are given by P(x) = 3x2 + 2x - 1 and Q(x) = - x2 - 2x + 5,
then P(x) - Q(x) =
A) 2x2 - 6
B) 4x2 + 4x + 4
C) 3x2 + 4x - 6
D) 4x2 + 4x - 6
E) 4x2 + 4x - 4 - Polynomials P(x) and Q(x) are given by P(x) = 2x2 + 3x + 1 and Q(x) = 2 x2 + B x - x + 1 where B is a constant. Find B so that P(x) = Q(x).
A) 0
B) 1
C) 2
D) 3
E) 4 - (2 x - 4)(3 x - 2) =
A) 6x2 - 16x + 8
B) -10x + 8
C) 6x2 - 8x + 8
D) 6x2 + 8x + 8
E) 6x2 + 16x + 8
- Which of the following represents the product of 4 less than 3 times x and 3 more than twice x?
A) (4 - 3x)(2x + 3)
B) (3x + 4)(2x + 3)
C) 6x2 - 2x - 12
D) 6x2 + 2x - 12
E) 6x2 - 2x + 12 - 3 x2 + 4x + 1 =
A) (3x + 1)(x + 1)
B) (x - 1)(3x - 1)
C) (3x - 1)(x - 1)
D) (x + 1)(3x + 1)
E) (3x + 1)(x + 1) - Polynomials P(x) and Q(x) are given by P(x) = - x2 + A x - 2 and Q(x) = (x - 2)(- x + 1) where A is a constant. Find A so that P(x) = Q(x).
A) 0
B) 3
C) - 2
D) 1
E) - 3 - Which of the three polynomials are equivalent?
(I) (2x + 2)(3x - 3) , (II) 6 x2 - 6 , (III) 6(x + 1)(x - 1)
A) (I) and (III) only
B) (II) and (III) only
C) (I) and (II) only
D) (I) , (II) and (III)
E) None are equivalent polynomials - If P(x) = 2x + 3 and Q(x) = - x - 2, then P(x) - 2 x Q(x) =
A) 2x2 + 6x + 3
B) 4x + 7
C) - 2x2 - 2x + 3
D) 2x2 - 6x + 3
E) 2x2 + 6x - 3 - Which of these is not a polynomial?
(I) 2 √x + 2
(II) |x2 + 2| + 3
(III) 2 x2 + 3x + 1
(IV) x2 + x / (x + 1) + 2
A) (II) and (IV) only
B) (I) , (II) and (IV) only
C) (I) , (II) , (III) and (IV)
D) (I) and (II) only
E) (III) only - P(x) is a polynomial. If P(x) = - 4 x2 + 3, then P(x + 1) =
A) - 4 x2 + 4
B) x + 1
C) - 4 x2 - 8x - 1
D) - 4 x2 + x + 4
E) x + 4
- D
- E
- A
- C
- E
- B
- D
- A
- B
- C
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Math Mcqs
- Solve -2 (x + 5) = 3x - 4 for x.
A) - 6
B) - 5
C) - 5/6
D) - 6/5
E) 6 - The solution of the equation - 4(2x - 5) = 10 is
A) greater than 2
B) less than - 3
C) bewteen 4 and 5
D) bewteen - 2 and - 1
E) bewteen 1 and 2 - The equation 3(x + 2) = 2(x + 1) + x + 7
A) has one solution
B) has no solution
C) has many solutions
D) has two solutions
E) has three solutions
- The equation -4(x + 2) = -4(x + 1) + 2 x + 7
A) has one solution
B) has no solution
C) has many solutions
D) has two solutions
E) has three solutions - The equation 3(- x + 2) = 2(- x + 1) - x + 4
A) has one solution
B) has no solution
C) has many solutions
D) has two solutions
E) has three solutions - The equation 6 + 2x = 3 + A x has no solution if A equals
A) 6
B) 2
C) 0
D) 3
E) 1 - The equations 2x + 3 = -(x - 2) and A (x - 2) = 2x + 3 have the same solution if A equals
A) 1
B) 2
C) 3
D) - 2
E) - 1 - Solve - 0.2(x - 4) = 0.5x - 0.6 for x.
A) 0
B) 1
C) 2
D) 3
E) 4 - Solve - x / 2 + 1 / 3 = x / 3 + 1 / 6 for x.
A) 1 / 5
B) 1 / 4
C) 1 / 3
D) 1 / 2
E) 1 - Which of these equations has a negative solution?
A) 2x + 2 = 7
B) - 3x + 2 = - 9
C) - 2x = 0
D) 4x + 8 = 5
E) - 7x = - 10
- D
- E
- B
- A
- C
- B
- E
- C
- A
- D
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Math Mcqs
- What is the mean of the data set given below?
10.2 , 10.5 , 10.9 , 10.2 , 10.6 , 10.0
A) 10.1
B) 10.2
C) 10.3
D) 10.4
E) 10.5 - Which of the statements, related to the mean, mode and median of the data set given below is true?
12 , 15 , 10 , 19 , 5 , 5
A) the mean is equal to the median
B) the mode is larger than the mean
C) the median is smaller than the mode
D) the above data set has two modes
E) The median of the above data is equal to 14.5 - What is(are) the mode(s) of the data set given below?
20.1 , 30.5 , 10.1 , 20.1 , 10.6 , 30.5 , 10.1 , 10.5
A) one mode: 10.1
B) one mode: 30.1
C) two modes: 20.1 and 30.1
D) three modes: 10.1 , 20.1 and 30.5
E) this data set has no modes - What is the median of the data set given below?
0 , 12 , 5 , 45 , 12 , 8 , 2
A) 45
B) 8
C) 25
D) 18.5
E) 12 - What is the mean of the fractions 2/3 , 5/6 and 1/2?
A) 2
B) 8/33
C) 1/3
D) 25/11
E) 2/3 - What is the median of the data set given below?
0.3 , 0.33 , 0.003 , 0.31 , 0.0003
A) 0.003
B) 0.33
C) 0.31
D) 0.0003
E) 0.3 - Which of these data sets has no mode(s)?
A) 57 , 24 , 57 , 21 , 49
B) 23 , 24 , 56 , 21 , 43
C) 20 , 20 , 20 , 20 , 20
D) 2000 , 3000 , 4000 , 2000 , 20000
E) 5 , 6 , 7 , 8 , 9 , 5 - What is the mean, median and mode of the following data set?
101 , 99 , 102 , 105 , 100 , 98 , 102
A) mean = 101 , median = 101 , mode = 102
B) mean = 101 , median = 102 , mode = 101
C) mean = 100 , median = 105 , mode = 102
D) mean = 100 , median = 105 , mode = 101
E) mean = 100 , median = 100 , mode = 100 - Which of these data sets has a mean less than 100?
A) 101 , 99 , 102 , 99 , 100
B) 90 , 110 , 101 , 100 , 100
C) 100 , 100 , 100 , 100 , 99
D) 50 , 155 , 101 , 100 , 98
E) 0 , 101 , 100 , 201 , 100 - Which of the following data sets has the largest mean?
A) 2001 , 2002 , 2008 , 2010
B) 2000 , 2010 , 2005 , 2002
C) 2999 , 1000 , 2001 , 2002
D) 2000 , 2000 , 2000 , 2000
E) 2010 , 2004 , 2012 , 2020
Answers to the Above Questions
- D
- A
- D
- B
- E
- E
- B
- A
- C
- E
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Math Mcqs
- Simplify the expression
3 2/5 + 1 3/5
A) 4
B) 1
C) 4 2/5
D) 4 3/5
E) 5 - Simplify the expression
5 2/3 + 6 3/4
A) 12 5/12
B) 12
C) 11 5/12
D) 11
E) 17/12 - Simplify the expression
7 2/3 - 4 1/3
A) 3
B) 4 1/3
C) 3 1/3
D) 1/3
E) 4
- Simplify the expression
9 1/4 - 5 3/4
A) 4 1/2
B) 4
C) 2 1/2
D) 3 1/2
E) 4 - Simplify the expression
1 1/3 + 2 3/4 - 3
A) 0
B) 1 1/12
C) 3 1/12
D) 2/4
E) 3 - Simplify the expression
(1 1/3) · (2 2/3)
A) 3 1/9
B) 2 2/9
C) 8/9
D) 2/9
E) 2 - Simplify the expression
(3 1/2) ÷ (2 1/2)
A) 3/2
B) 2/3
C) 2/5
D) 3 2/5
E) 1 2/5 - What mixed number added to the expression (1 1/3) - (2 1/2) gives 2?
A) 3
B) 2 1/2
C) 3 1/6
D) 1 1/3
E) 1 1/2 - What mixed number subtracted from the expression (2 1/5) + (5 1/3) gives 0?
A) 7 1/5
B) 7 1/3
C) 7
D) 7 8/15
E) 6 8/15 - What is the reciprocal of the mixed number 2 1/8?
A) 8/17
B) 2 8/1
C) 1/2
D) 4/5
E) 8/21
- E
- A
- C
- D
- B
- A
- E
- C
- D
- A
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Math Mcqs
- Solve 2 x + y = 5 + 3x for x.
A) x = 5 - y
B) x = y + 5
C) x = y - 5
D) x = - 5 - y
E) x = 5 y - Solve 2 s n = s + n for s.
A) s = 2 - 1 / n
B) s = n(2n - 1)
C) s = n / (2n + 1)
D) s = n
E) s = n / (2n - 1) - Solve (2 + x) / y = x + 1 for y.
A) y = (x + 2) / (1 + x)
B) y = (x + 1) / (2 + x)
C) y = (x + 2) / (x - 1)
D) y = (x - 2) / (x - 1)
E) y = (x + 2) / (1 - x) - Solve n = (6x + 11) / (2x + 3) for x
A) x = (3n + 11) / (6 - 2n)
B) x = 3 n
C) x = (3n + 11) / (6 + 2n)
D) x = (3n - 11) / (6 - 2n)
E) x = (3n - 11) / (6 + 2n) - Solve (2 y + t) / (y - t) = 4 for y
A) y = (2 / 5) t
B) y = - (3 / 2) t
C) y = - (2 / 3) t
D) y = - (5 / 2) t
E) y = (5 / 2) t - Solve 2 M G + G / M = 2 / M for G
A) G = 2 M2 + 1
B) G = 2 / (2 M2 + 1)
C) G = 1 / (2 M2 + 1)
D) G = 2 / (2 M2 - 1)
E) G = 2 M2 - The perimeter P of a rectangle of length L and width W is given by P = 2L + 2W. Express L in terms of P and W.
A) L = P - W
B) L = P - 2 W
C) L = P + 2 W
D) L = P / 2 - W
E) L = P / 2 + W - The formula to convert temperatures from Fahrenheit F to Celsius C is given by:
C = (5 / 9) (F - 32).
Solve the above formula for F to obtain a formula to convert Celsius C to Fahrenheit F.
A) F = (9 / 5) C + 32
B) F = (9 / 5) C - 32
C) F = C + 32
D) F = (5 / 9) C + 32
E) F = (5 / 9) C - 32 - The surface area A of a cylinder of radius r and height H is given by
A = 2 pi r2 + 2 Pi r H
Find a formula for H in terms of A and r.
A) H = A / 2 Pi r
B) H = A - 2 Pi r2 - 2 Pi r
C) H = A / 2 Pi r - r
D) H = A / (2 Pi r2) - 2 Pi r
E) H = A / 2 Pi r + r - Solve (z + y) / (x y z) = 2 x for y.
A) y = z / ( 2x 2 + 1)
B) y = x / ( 2z 2 - 1)
C) y = - z / ( 2x 2 + 1)
D) y = z / ( 2z 2 - x)
E) y = z / ( 2x 2 - 1)
- C
- E
- A
- D
- E
- B
- D
- A
- C
- E
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Math Mcqs
- Which two lines given by their equations are parallel?
A) x = 2 and y = -2
B) y = 3x + 1 and y = - 3x - 2
C) y = -3x + 100 and y = -3x - 100
D) y = 0 and x = 0
E) y = x and y = -x - Find k so that the lines given by the equations y = 0.5 x and y = - kx + 2 are parallel.
A) 0.5
B) - 0.5
C) 2
D) -2
E) 0 - Which of the lines is parallel to the line defined by -3x + 2y = 6?
A) y = -3x - 6
B) y = - (2/3) x - 5
C) y = (2/3) x + 2
D) y = -2x - 8
E) y = (3/2) x + 9 - Which two lines given by their equations are parallel?
A) x = 2 and y = 2
B) y = 2 and y = - 9
C) y = - x + 100 and y = 2 + x
D) y = (1/2) x and y = (1/2)
E) y = 2 x and y + 2x = 0 - Find A so that the lines given by the equations 2 A x + 3y = 4 and y = - 3x - 5 are parallel.
A) 9 / 2
B) -9 / 2
C) 3 / 2
D) - 3 / 2
E) 3 - Which two lines given by their equations are parallel?
A) x = -2y and y = -2x
B) y = 2 and y = 2x
C) x = 100 and x - 3 = 6
D) y = -(5) x and y = (1/5)
E) y = 0 and x = 0 - Find the slope of the line parallel to the line given by the equation 3x - 5y = 6.
A) 3
B) -3
C) 5 / 3
D) - 5 / 3
E) 3 / 5 - Which of the lines below is not parallel to the line - 12x + 2y = 9?
A) y = - 6x + 12
B) - 2y = - 12x + 1
C) y / 2 = 3x + 12
D) 0.1 y = 0.6 x + 0.2
E) - (2 / 3) y = - 4x - Which of the lines below is parallel to the line - (5 / 2) x + 5 y = 0?
A) y = 2 x
B) y = 0.5 x
C) - x = 5/2
D) y = 5 / 2
E) y = 0.5 - What is the slope of the line parallel to the line given by the equation 5 + y = 2?
A) 5
B) 1
C) 2
D) -1
E) 0
- C
- B
- E
- B
- A
- C
- E
- A
- B
- E
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Math Mcqs
- What is 1/3 of 300?
A) 100
B) 900
C) 1
D) 10
E) 9 - If 2/7 of x is equal to 6, then x =
A) 12/7
B) 1/21
C) 84
D) 42
E) 21 - What is 15% of 45% of 1.4?
A) 0.945
B) 0.0945
C) 9450
D) 94.5
E) 9.45
- What is 2/3 of 1/5 of 12,000?
A) 1.1 10-5
B) 8000
C) 1600
D) 2400
E) 1.6 - If x% of 23 is 9.2, then x =
A) 211.6
B) 80
C) 21.16
D) 40
E) 4 - On a 25 questions Math test, Peter got 60% of the 10 algebra questions correct, 80% of the 10 geometry questions correct and 60% of the 5 trigonometry questions correct. What percentage of all the questions did Peter get correct?
A) 200%
B) 66.6%
C) 68%
D) 25%
E) 50% - If 25% of y is x, then y =
A) 0.25 x
B) 2x
C) 8x
D) 0.50 x
E) 4x - What fraction subtracted from 1/2 + 4/5 gives 1?
A) 1/2
B) 4/5
C) 3/10
D) 9/10
E) 3/5 - One out of 5 of a group of students took a math test, 28% of the same group took a science test and the rest took a history test. What percent of students took a history test?
A) 80%
B) 72%
C) 48%
D) 52%
E) 50% - If one fifth of y + 1 is equal to 2, then y + 2 =
A) 11
B) 9
C) 8
D) 7
E) 6
- A
- E
- B
- C
- D
- C
- E
- C
- D
- A
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Math Mcqs
- What is the value of 2(x3 - y2) + 2(x3 + y2) for x = 2 and y = -4?
A) - 32
B) 32
C) 34
D) -34
E) 35 - If x = 3, what is the value of 6 / x + 4x - 20?
A) 6
B) 2
C) - 6
D) 14
E) - 34 - The surface area A of a cylindrical container is given by the formula
A = 2 pi r2 + 2 pi r h
where r is the radius, h is the height of the container and h its height and pi is a constant which can be approximeted by 3.14. Which of the values below is closeset to the area of a container whose radius is 10 cm and its height 5 cm? A) 628
B) 1256
C) 314
D) 3140
E) 942
- If x = - 2 and y = 3, what is the value of - x- y?
A) 1 / 8
B) - 1 / 8
C) 8
D) - 8
E) - 6 - If y = -3, what is the value of (y3 - 3) / (- y + 3)?
A) 5
B) 10
C) 6
D) - 5
E) - 6 - What is the value of 3 x3 - 2 x2 + 2 for x = - 2?
A) 20
B) - 20
C) 30
D) - 30
E) 60 - If x = 2.7, what is the value of x + 0.75(x - 1.5) + 1.2?
A) 4.8
B) 7.2
C) 6.1
D) 6.2
E) 6.3 - If x = - 0.07 and y = 1.2, what is the value of x y - 0.2 (y - x)?
A) 0.338
B) - 0.338
C) 0.3
D) - 0.3
E) 0.338 - At normal resting heart rates, the mean arterial pressure MAP can be approximated by the simple formula
MAP = DP + (1/3)( SP - DP )
where DP is the diastolic pressure and SP systolic pressure. Find the mean arterial pressure MAP, rounded to the nearest unit, for a person with systolic pressure SP of 101 mmHg and a diastolic pressure DP of 72 mmHg.
A) 85
B) 100
C) 90
D) 80
E) 82 - What is the value of 3 / (x - 4 y) + 2 / (0.5 x + 8 y) for x = - 2 and y = - 0.25?
A) 11 / 3
B) 3 / 11
C) - 3 / 11
D) - 11/3
E) 3
- B
- C
- E
- A
- D
- D
- A
- B
- E
- D
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Math Mcqs
- If the length L of a rectangle is 3 meters more than twice its width and its perimeter is 300 meters, which of the following equations could be used to find L?
A) 3L + 3 = 300
B) 3L = 300
C) 3L - 3 = 300
D) 2L + 3 = 300
E) 4L = 300 - The average of two numbers is 50. Their difference is 40. Write an equation that may be used to find x the smallest of the two numbers.
A) x - 20 = 50
B) 2x + 20 = 50
C) x - 20 = 100
D) x + 20 = 40
E) x + 20 = 50 - Pump A can fill a tank in 2 hours and pump B can fill the same tank in 3 hours. If t is the time, in hours, that both pump take to fill the tank, which of these equations could be used to find t?
A) 2t + 3t = 1
B) t/2 + t/3 = 1
C) t / (2 + 3) = 1
D) (2 + 3) / t = 1
E) t + 2 + 3 = 1 - John drove for two hours at the speed of 50 miles per hour (mph) and another x hours at the speed of 55 mph. If the average speed of the entire journey is 53 mph, which of the following could be used to find x?
A) (55 + x) / 2 = 53
B) (50 + x) / 2 = 53
C) (55 + 53) / 2 = x
D) 100 + 55 x = 53 (2 + x)
E) 53 x = 2 - The sum of 3 consecutive even numbers is 126. Which of these equations could be used to find x, the largest of these 3 numbers?
A) 3x - 6 = 126
B) 3x + 6 = 126
C) 3x + 3 = 126
D) 3x - 3 = 126
E) 3x - 9 = 126 - The radius of a circle is 3 centimeters (cm) more than twice the side of a square. The circumference of the circle is 4 times the perimeter of the square. Write an equation that can be used to find the radius r of the circle.
A) 2 pi r = 16 (r - 3)
B) 2 pi r = 8 (r + 3)
C) 2 pi r = 16 (r + 3)
D) 2 pi r = 8 (r - 3)
E) 6 pi = 4r - The height of a trapezoid is 10 millimeters (mm). b is the length of one of the two bases of the trapezoid and is 2 mm longer than 3 times the length of the second base. The area of the trapezoid is 300 mm2. Write an equation to find b.
A) (h / 2) (4b - 2) = 300
B) (h / 2) (4b + 2) = 300
C) h (4b - 2) = 300
D) h (4b - 2) = 600
E) (h / 3) (4b - 2) = 600 - 25% of one third of the sum of twice x and 3 is equal to half of the difference of x and its tenth. Write an equation to find x.
A) 0.25(2x + 3) / 3 = 0.5 (x - 0.1)
B) 0.25(2x + 3) / 3 = 0.5 (x - 0.1 x)
C) 0.25(2x) / 3 + 3 = 0.5 (x - 10)
D) 0.25(2x + 3) / 3 + 3 = 0.5 (x - 10/x)
E) 0.25(2x) / 3 + 3 = 0.5 (x - 10 x) - The price x of a car was first decreased by 15% and decreased a second time by 10%. Write an equation to find x if the car was bought at $12,000.
A) (x - 0.15 x) - 0.1 (x - 0.15 x) = 12,000
B) x - 0.15x - 0.1 x = 12,000
C) x - 0.15x - 0.1 x = 12,000
D) (x - 0.15 x) - 0.1 x = 12,000
E) x = 12,000 - 15% - 10% - A company produces a product for which the variable cost is $6.2 per unit and the fixed costs are $22,000. The company sells the product for $11.45 per unit. Write an equation to find x, the numbers of units sold if the total profit made by the company was $45,000.
A) 45,000 = 11.45 x + (6.2 x + 22,000)
B) 45,000 - 22,000 = 11.45 x - 6.2 x
C) 45,000 = 11.45 x - (6.2 x + 22,000)
D) 45,000 = 11.45 x - 6.2 x + 22,000
E) 45,000 + 11.45 x = 6.2 x + 22,000
- C
- E
- B
- D
- A
- D
- E
- B
- A
- C
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Math Mcqs
- Simplify the expression with radicals given below
2 √50 + 12 √8
A) 14 √58
B) 240
C) 280
D) 98
E) 34 √2 - Simplify the expression given below
√27 - √300
A) √-273
B) -7 √3
C) -147
D) 3 - 10√3
E) 7√3 - Simplify the expression with radicals given below
- 2 √(16y) + 10 √y
A) 8 √y
B) 8 √-(15y)
C) 8 √(17y)
D) 2 √(16y)
E) 2 √y - Simplify the expression given below
2 √(x + 1) + 3 √(16x + 16)
A) 14 √(x + 1)
B) 5 √(17x + 17)
C) 5
D) √(17x + 17)
E) 6 √(17x + 17) - 2 √3 + 4 √12 + 3 √48 =
A) 9 √3
B) 9 √63
C) 22
D) 22 √3
E) 9 √48 - Simplify the expression given below and rewrite it without radicals
(√3 + √12) / (√3 - √12))
A) 1
B) 0
C) -3
D) - 1
E) 3 - Simplify the expression with radicals given below
5 √x + 6 √(9x) - 10 √(16x)
A) √x
B) -17 √x
C) √(46 x)
D) -2 √x
E) √(-25 x) - 2 √27 + 2 √75 =
A) 16 √3
B) 4 √3
C) 4 √102
D) 16
E) 204 - √(103) + √(105) =
A) √10,100
B) 110 √10
C) 10,000
D) 2 √1000
E) 2 √100,000 - Simplify the expression and rewrite it without radicals.
√8 √3 √6
A) 144
B) 3
C) 17
D) 12
E) 4
- E
- B
- E
- A
- D
- C
- B
- A
- B
- D
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Math Mcqs
- What are the two solutions to the quadratic equations 2 x2 + 3x - 2 = 0?
A) -2 , 3
B) -2 , -1/2
C) 2 , -1/2
D) -2 , 1/2
E) -1/2 , -2 - What is the sum of the two solutions to the quadratic equation (x + 4)(x - 3) = 7
A) -1
B) -2
C) 1
D) 2
E) 3 - What is the product of the two solutions to the quadratic equation (x - 2)(x - 6) = -3
A) 12
B) -12
C) 15
D) -3
E) 3
- Find all values of m for which the quadratic equation x2 + 2 x - 2 m = 0 have no real solutions.
A) m = 0
B) m = -2
C) m < - 4
D) m = 1 / 2
E) m < -1 / 2 - Find all values of m for which the quadratic equation 2x2 + 3 x - m + 2 = 0 have two distinct real solutions.
A) m > 0
B) m = 7
C) m > 7 / 8
D) m < -7 / 8
E) m = 7 / 8 - Which of these quadratic equations has two real solutions greater than zero?
A) x2 + x = 0
B) 2 x2 - 10 x = 28
C) - x2 + 4 x + 5 = 0
D) -3 x2 - 9 = - 12 x
E) -3 x2 - 6 x + 24 = 0 - Which of these quadratic equations has two real solutions whose product is greater than zero?
A) - x2 - 2x = - 8
B) x2 + 9 x = - 18
C) - x2 = - 6 + x
D) x2 = 4 x
E) x2 - 3 x = 4 - a and b in the quadratic equation x2 + ax + b = 0 are real numbers. Find a and b so that the given equation has two solutions x = -1/4 and x = 1/2.
A) a = - 1 / 4 , b = - 1 / 8
B) a = - 1 , b = - 1
C) a = 1 / 4, b = -1
D) a = 1 / 4, b = 1 / 8
E) a = 4, b = 8 - a and b in the quadratic equation - x2 + ax + b = 0 are real numbers. Find a and b so that the given equation has two solutions whose sum is equal to 6 and whose product is equal to 8.
A) a = 6 , b = 8
B) a = -6 , b = 8
C) a = 8 , b = -6
D) a = 6 , b = -8
E) a = -8 , b = 6 - Which of these pairs of quadratic equations have the same solutions?(equivalent equations)
A) x2 - 1 = 0 and x2 = - 1
B) - x2 + x = - 6 and x2 - 2x = 3
C) x2 - 5x + 6 = 0 and - x2 - 5x - 6 = 0
D) x2 = 2x and x2 + 2x = 0
E) x2 + x - 2 = 0 and - 2 x2 -2x + 4 = 0
- D
- A
- C
- E
- C
- D
- B
- A
- D
- E
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