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. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(p + q)/5
A set with a number of elements which can be counted.
An infinite set.
8

2. To multiply a number by 10^x
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Relationship cannot be determined (what if x is negative?)
Move the decimal point to the right x places
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

3. Reduce: 4.8 : 0.8 : 1.6
The direction of the inequality is reversed.
12.5%
6 : 1 : 2
A subset.

4. Define an 'expression'.
The objects within a set.
Its divisible by 2 and by 3.
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)
x^(2(4)) =x^8 = (x^4)^2

5. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
8
67 - 71 - 73
A tangent is a line that only touches one point on the circumference of a circle.

6. To convert a decimal to a percent...
3 - -3
A grouping of the members within a set based on a shared characteristic.
...multiply by 100.
Yes. [i.e. f(x) = x^2 - 1

7. What is a chord of a circle?
F(x + c)
Angle/360 x (pi)r^2
Two equal sides and two equal angles.
A chord is a line segment joining two points on a circle.

8. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The curve opens downward and the vertex is the maximum point on the graph.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
11 - 13 - 17 - 19
20.5

9. Which is greater? 200x^295 or 10x^294?
A subset.
A = I (1 + rt)
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...
Relationship cannot be determined (what if x is negative?)

10. A number is divisible by 3 if ...
Cd
The sum of its digits is divisible by 3.
1.0843 X 10^11
$11 -448

11. What is the maximum value for the function g(x) = (-2x^2) -1?
F(x) + c
1
Two angles whose sum is 90.
IV

12. What are the smallest three prime numbers greater than 65?
1:sqrt3:2
67 - 71 - 73
71 - 73 - 79
A chord is a line segment joining two points on a circle.

13. What is the formula for compounded interest?
16.6666%
1
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.
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)

14. What are complementary angles?
The set of elements found in both A and B.
7 / 1000
Two angles whose sum is 90.
1/(x^y)

15. How many 3-digit positive integers are even and do not contain the digit 4?
Cd
A set with no members - denoted by a circle with a diagonal through it.
1:sqrt3:2
288 (8 9 4)

16. 60 < all primes <70
12.5%
From northeast - counterclockwise. I - II - III - IV
A circle centered on the origin with radius 8.
61 - 67

17. What is the name for a grouping of the members within a set based on a shared characteristic?
An isosceles right triangle.
1
A subset.
Undefined

18. Whats the difference between factors and multiples?
A circle centered on the origin with radius 8.
Factors are few - multiples are many.
C = 2(pi)r
6

19. How to determine percent decrease?
Indeterminable.
The interesection of A and B.
1.7
(amount of decrease/original price) x 100%

20. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A circle centered at -2 - -2 with radius 3.
3
The shortest arc between points A and B on a circle'S diameter.

21. How many multiples does a given number have?
4725
10
Infinite.
A reflection about the axis.

22. What is the 'Restricted domain of a function'?
An infinite set.
Angle/360 x 2(pi)r
x^(4+7) = x^11
When the function is not defined for all real numbers -; only a subset of the real numbers.

23. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
0
F(x) + c
4725
10

24. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
6
5 OR -5
2.592 kg

25. a^2 - 2ab + b^2
A subset.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
All numbers multiples of 1.
(a - b)^2

26. (6sqrt3) x (2sqrt5) =
A = pi(r^2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
$11 -448
A reflection about the origin.

27. How to find the area of a sector?
90pi
10
Angle/360 x (pi)r^2
IV

28. What is a minor arc?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

29. What is the name of set with a number of elements which cannot be counted?
A = I (1 + rt)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An infinite set.
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...

30. Pi is a ratio of what to what?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

31. What is the 'domain' of a function?
The set of input values for a function.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
6 : 1 : 2
180 degrees

32. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Undefined - because we can'T divide by 0.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The curve opens downward and the vertex is the maximum point on the graph.
N! / (n-k)!

33. Number of degrees in a triangle
10! / 3!(10-3)! = 120
13
(base*height) / 2
180

34. Can you simplify sqrt72?
413.03 / 10^4 (move the decimal point 4 places to the left)
6
Move the decimal point to the right x places
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

35. What is a tangent?
Sector area = (n/360) X (pi)r^2
20.5
y = (x + 5)/2
A tangent is a line that only touches one point on the circumference of a circle.

36. Max and Min lengths for a side of a triangle?
(b + c)
The third side is greater than the difference and less than the sum.
90pi
0

37. What is the surface area of a cylinder with radius 5 and height 8?
Cd
4:5
130pi
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

38. How to determine percent increase?
(n-2) x 180
C = 2(pi)r
23 - 29
(amount of increase/original price) x 100%

39. 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?
71 - 73 - 79
1
500
180 degrees

40. What percent of 40 is 22?
70
3 - -3
55%
2^9 / 2 = 256

41. 4.809 X 10^7 =
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A = I (1 + rt)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
.0004809 X 10^11

42. Legs 6 - 8. Hypotenuse?
A subset.
(base*height) / 2
10
(a - b)(a + b)

43. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
27^(-4)
4:5
1
When the function is not defined for all real numbers -; only a subset of the real numbers.

44. What are 'Supplementary angles?'
288 (8 9 4)
The second graph is less steep.
Two angles whose sum is 180.
18

45. What is the sum of the angles of a triangle?
180 degrees
1.0843 X 10^11
The empty set - denoted by a circle with a diagonal through it.
A set with no members - denoted by a circle with a diagonal through it.

46. What is a central angle?
413.03 / 10^4 (move the decimal point 4 places to the left)
(a + b)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A central angle is an angle formed by 2 radii.

47. What is an isoceles triangle?
4:5
Two equal sides and two equal angles.
11 - 13 - 17 - 19
4a^2(b)

48. What are the irrational numbers?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

49. P and r are factors of 100. What is greater - pr or 100?
Undefined - because we can'T divide by 0.
1/a^6
A 30-60-90 triangle.
Indeterminable.

50. When the 'a' in a parabola is positive....
72
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The curve opens upward and the vertex is the minimal point on the graph.
The union of A and B.

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