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. Max and Min lengths for a side of a triangle?
Relationship cannot be determined (what if x is negative?)
Yes - like radicals can be added/subtracted.
71 - 73 - 79
The third side is greater than the difference and less than the sum.

2. Can the output value of a function have more than one input value?
$11 -448
F(x) - c
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.
Yes. [i.e. f(x) = x^2 - 1

3. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
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.
x= (1.2)(.8)lw
No - the input value has exactly one output.

4. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
...multiply by 100.
x= (1.2)(.8)lw
A reflection about the axis.
0

5. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
An infinite set.
90 degrees
x= (1.2)(.8)lw
The sum of its digits is divisible by 3.

6. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The sum of its digits is divisible by 3.
The sum of digits is divisible by 9.
2 & 3/7
288 (8 9 4)

7. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
6
Two angles whose sum is 90.
3sqrt4

8. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
(a - b)(a + b)
12! / 5!7! = 792
12sqrt2
0

9. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
An isosceles right triangle.
The set of input values for a function.
Pi is the ratio of a circle'S circumference to its diameter.

10. What is a major arc?

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

11. Describe the relationship between the graphs of x^2 and (1/2)x^2
The steeper the slope.
Lies opposite the greater angle
1
The second graph is less steep.

12. What is the 'Solution' for a set of inequalities.
(a + b)^2
y = 2x^2 - 3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The overlapping sections.

13. A number is divisible by 6 if...
Its divisible by 2 and by 3.
41 - 43 - 47
The curve opens upward and the vertex is the minimal point on the graph.
31 - 37

14. What is the sum of the angles of a triangle?
180 degrees
A reflection about the axis.
(n-2) x 180
F(x + c)

15. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
4725
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)
2^9 / 2 = 256
5

16. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
(a + b)^2
48
x= (1.2)(.8)lw

17. Formula of rectangle where l increases by 20% and w decreases by 20%
A chord is a line segment joining two points on a circle.
x= (1.2)(.8)lw
The interesection of A and B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

18. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
3
Yes - like radicals can be added/subtracted.

19. a^2 + 2ab + b^2
An angle which is supplementary to an interior angle.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(a + b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

20. What is a tangent?
52
4.25 - 6 - 22
1/2 times 7/3
A tangent is a line that only touches one point on the circumference of a circle.

21. What is the graph of f(x) shifted left c units or spaces?
Cd
A = pi(r^2)
F(x + c)
The overlapping sections.

22. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
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
0
A central angle is an angle formed by 2 radii.
13pi / 2

23. To convert a decimal to a percent...
...multiply by 100.
37.5%
(amount of decrease/original price) x 100%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

24. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(a - b)(a + b)
x^(6-3) = x^3

25. Length of an arc of a circle?
413.03 / 10^4 (move the decimal point 4 places to the left)
1
Angle/360 x 2(pi)r
23 - 29

26. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
The two xes after factoring.
87.5%
288 (8 9 4)

27. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
x= (1.2)(.8)lw
No - the input value has exactly one output.
70
288 (8 9 4)

28. In a regular polygon with n sides - the formula for the sum of interior angles
10! / 3!(10-3)! = 120
(a + b)^2
3sqrt4
(n-2) x 180

29. To convert a percent to a fraction....
Its negative reciprocal. (-b/a)
Divide by 100.
2^9 / 2 = 256
90pi

30. a^2 - b^2
The union of A and B.
53 - 59
... the square of the ratios of the corresponding sides.
(a - b)(a + b)

31. What is the formula for compounded interest?
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.
I
Area of the base X height = (pi)hr^2
.0004809 X 10^11

32. Which quadrant is the upper left hand?
Even
A chord is a line segment joining two points on a circle.
II
180 degrees

33. A number is divisible by 9 if...
Infinite.
1
The sum of digits is divisible by 9.
x= (1.2)(.8)lw

34. Which is greater? 64^5 or 16^8
6
61 - 67
Undefined - because we can'T divide by 0.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

35. What are congruent triangles?
Triangles with same measure and same side lengths.
All numbers multiples of 1.
A subset.
4725

36. How to find the area of a sector?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Angle/360 x (pi)r^2
An infinite set.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

37. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
(b + c)
A = I (1 + rt)
9 : 25

38. What are the integers?
All numbers multiples of 1.
1
x= (1.2)(.8)lw
An isosceles right triangle.

39. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
A grouping of the members within a set based on a shared characteristic.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
2.592 kg
90

40. (12sqrt15) / (2sqrt5) =
N! / (k!)(n-k)!
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(base*height) / 2
$11 -448

41. The larger the absolute value of the slope...
An angle which is supplementary to an interior angle.
The steeper the slope.
The longest arc between points A and B on a circle'S diameter.
2 & 3/7

42. 3/8 in percent?
37.5%
Yes - like radicals can be added/subtracted.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Part = Percent X Whole

43. How many sides does a hexagon have?
6
Sector area = (n/360) X (pi)r^2
x= (1.2)(.8)lw
1

44. a^0 =
F(x) - c
2^9 / 2 = 256
1
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

45. x^(-y)=
N! / (n-k)!
1/(x^y)
180 degrees
90pi

46. 1/6 in percent?
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...
16.6666%
An angle which is supplementary to an interior angle.
8

47. How many multiples does a given number have?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1/a^6
90 degrees
Infinite.

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. 1/2 divided by 3/7 is the same as
The third side is greater than the difference and less than the sum.
4:5
1/2 times 7/3
F(x + c)

50. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
I
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
2.592 kg

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