Test your basic knowledge |

GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. Can you simplify sqrt72?
Factors are few - multiples are many.
x^(4+7) = x^11
C = (pi)d
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

2. Find the surface area of a cylinder with radius 3 and height 12.
(a - b)^2
Sector area = (n/360) X (pi)r^2
90pi
An infinite set.

3. What are the members or elements of a set?
9 : 25
55%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The objects within a set.

4. The perimeter of a square is 48 inches. The length of its diagonal is:
72
12sqrt2
An isosceles right triangle.
3 - -3

5. What are the roots of the quadrinomial x^2 + 2x + 1?
Two angles whose sum is 180.
12! / 5!7! = 792
The two xes after factoring.
4725

6. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
The point of intersection of the systems.
441000 = 1 10 10 10 21 * 21
500

7. What are the integers?
... the square of the ratios of the corresponding sides.
A chord is a line segment joining two points on a circle.
All numbers multiples of 1.
y = 2x^2 - 3

8. a^2 - b^2 =
2 & 3/7
23 - 29
(a - b)(a + b)
True

9. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
An expression with just one term (-6x - 2a^2)
y = (x + 5)/2
(amount of decrease/original price) x 100%
1/a^6

10. 8.84 / 5.2
$3 -500 in the 9% and $2 -500 in the 7%.
1.7
Indeterminable.
C = 2(pi)r

11. Define a 'monomial'
The objects within a set.
An expression with just one term (-6x - 2a^2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(base*height) / 2

12. a^2 + 2ab + b^2
(a + b)^2
x^(6-3) = x^3
Even
(p + q)/5

13. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
500
Yes. [i.e. f(x) = x^2 - 1
2.592 kg

14. 10<all primes<20
Two equal sides and two equal angles.
180
70
11 - 13 - 17 - 19

15. Define an 'expression'.
1
413.03 / 10^4 (move the decimal point 4 places to the left)
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
The shortest arc between points A and B on a circle'S diameter.

16. Write 10 -843 X 10^7 in scientific notation
An expression with just one term (-6x - 2a^2)
A reflection about the origin.
1.0843 X 10^11
87.5%

17. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
2sqrt6
A circle centered at -2 - -2 with radius 3.
9 : 25

18. What is a finite set?
A set with a number of elements which can be counted.
Two angles whose sum is 180.
Its divisible by 2 and by 3.
Angle/360 x 2(pi)r

19. What percent of 40 is 22?
A central angle is an angle formed by 2 radii.
(a + b)^2
Even
55%

20. A number is divisible by 6 if...
... the square of the ratios of the corresponding sides.
Its divisible by 2 and by 3.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A = pi(r^2)

21. Define a 'Term' -
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
(p + q)/5

22. To convert a percent to a fraction....
Divide by 100.
The direction of the inequality is reversed.
18
From northeast - counterclockwise. I - II - III - IV

23. Which quandrant is the lower right hand?
IV
Undefined
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
y = 2x^2 - 3

24. x^2 = 9. What is the value of x?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An arc is a portion of a circumference of a circle.
3 - -3
A = I (1 + rt)

25. Formula to calculate arc length?
37.5%
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Arc length = (n/360) x pi(2r) where n is the number of degrees.

26. The ratio of the areas of two similar polygons is ...
F(x) - c
(a - b)(a + b)
10
... the square of the ratios of the corresponding sides.

27. When does a function automatically have a restricted domain (2)?
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.
61 - 67
1/(x^y)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

28. How many sides does a hexagon have?
0
Two angles whose sum is 90.
An isosceles right triangle.
6

29. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Relationship cannot be determined (what if x is negative?)
F(x) + c

30. 3/8 in percent?
37.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Yes - like radicals can be added/subtracted.
3/2 - 5/3

31. P and r are factors of 100. What is greater - pr or 100?
(a + b)^2
The interesection of A and B.
Indeterminable.
10! / (10-3)! = 720

32. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
G(x) = {x}
(p + q)/5
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
48

33. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
10
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Yes - like radicals can be added/subtracted.
12sqrt2

34. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
G(x) = {x}
1:1:sqrt2

35. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
70
4:5
8
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

36. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
The curve opens downward and the vertex is the maximum point on the graph.
0
A = I (1 + rt)

37. Convert 0.7% to a fraction.
7 / 1000
N! / (n-k)!
Part = Percent X Whole
4725

38. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
31 - 37
83.333%
x(x - y + 1)
500

39. 1/8 in percent?
A reflection about the axis.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
12.5%
I

40. What is the measure of an exterior angle of a regular pentagon?
Triangles with same measure and same side lengths.
The two xes after factoring.
72
Arc length = (n/360) x pi(2r) where n is the number of degrees.

41. (-1)^3 =
The union of A and B.
Lies opposite the greater angle
1
The shortest arc between points A and B on a circle'S diameter.

42. What is the ratio of the sides of an isosceles right triangle?
(amount of decrease/original price) x 100%
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
1:1:sqrt2
Factors are few - multiples are many.

43. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A = I (1 + rt)
The point of intersection of the systems.
(n-2) x 180

44. The larger the absolute value of the slope...
The steeper the slope.
An angle which is supplementary to an interior angle.
1 & 37/132
y = (x + 5)/2

45. Length of an arc of a circle?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
180
Angle/360 x 2(pi)r
(a + b)^2

46. (a^-1)/a^5
1/a^6
(amount of increase/original price) x 100%
Undefined - because we can'T divide by 0.
C = (pi)d

47. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
F(x + c)
27^(-4)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

48. 30< all primes<40
5
31 - 37
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

49. What is the 'Restricted domain of a function'?
An isosceles right triangle.
0
When the function is not defined for all real numbers -; only a subset of the real numbers.
The sum of its digits is divisible by 3.

50. What is the name of set with a number of elements which cannot be counted?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
$11 -448
The set of elements which can be found in either A or B.
An infinite set.

Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?

Major Subjects
Tests & Exams AP CLEP DSST GRE SAT GMAT	Certifications CISSP go to https://www.isc2.org/ PMP ITIL RHCE MCTS More...	IT Skills Android Programming Data Modeling Objective C Programming Basic Python Programming Adobe Illustrator More...	Business Skills Advertising Techniques Business Accounting Basics Business Strategy Human Resource Management Marketing Basics More...
Soft Skills Body Language People Skills Public Speaking Persuasion Job Hunting And Resumes More...	Vocabulary GRE Vocab SAT Vocab TOEFL Essential Vocab Basic English Words For All Global Words You Should Know Business English More...	Languages AP German Vocab AP Latin Vocab SAT Subject Test: French Italian Survival Norwegian Survival More...	Engineering Audio Engineering Computer Science Engineering Aerospace Engineering Chemical Engineering Structural Engineering More...
Health Sciences Basic Nursing Skills Health Science Language Fundamentals Veterinary Technology Medical Language Cardiology Clinical Surgery More...	English Grammar Fundamentals Literary And Rhetorical Vocab Elements Of Style Vocab Introduction To English Major Complete Advanced Sentences Literature Homonyms More...	Math Algebra Formulas Basic Arithmetic: Measurements Metric Conversions Geometric Properties Important Math Facts Number Sense Vocab Business Math More...	Other Major Subjects Science Economics History Law Performing-arts Cooking Logic & Reasoning Trivia

Test your basic knowledge |

GRE Math: Common Errors

Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?

Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests

Major Subjects

Tests & Exams

Certifications

IT Skills

Business Skills

Soft Skills

Vocabulary

Languages

Engineering

Health Sciences

English

Math

Other Major Subjects

Browse all subjects

Browse all tests

Most popular tests