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. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4725
Its negative reciprocal. (-b/a)
No - the input value has exactly one output.
An isosceles right triangle.

2. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
y = 2x^2 - 3
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...
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

3. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
An arc is a portion of a circumference of a circle.
III
The curve opens downward and the vertex is the maximum point on the graph.

4. 10^6 has how many zeroes?
6
18
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
3

5. Which is greater? 27^(-4) or 9^(-8)
x^(2(4)) =x^8 = (x^4)^2
Its divisible by 2 and by 3.
IV
27^(-4)

6. x^4 + x^7 =
y = 2x^2 - 3
y = (x + 5)/2
x^(4+7) = x^11
Its negative reciprocal. (-b/a)

7. Evaluate 4/11 + 11/12
A circle centered at -2 - -2 with radius 3.
y = (x + 5)/2
1 & 37/132
12sqrt2

8. Solve the quadratic equation ax^2 + bx + c= 0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The curve opens downward and the vertex is the maximum point on the graph.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1.7

9. 0^0
Two angles whose sum is 90.
1
x^(6-3) = x^3
Undefined

10. What is the formula for computing simple interest?
Diameter(Pi)
A = I (1 + rt)
All numbers multiples of 1.
23 - 29

11. A number is divisible by 9 if...
8
1
413.03 / 10^4 (move the decimal point 4 places to the left)
The sum of digits is divisible by 9.

12. The slope of a line perpendicular to (a/b)?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
N! / (n-k)!
1/2 times 7/3
Its negative reciprocal. (-b/a)

13. What are the rational numbers?
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a + b)^2
1/a^6

14. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
70
10
F(x) + c
2 & 3/7

15. 5x^2 - 35x -55 = 0
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The sum of its digits is divisible by 3.
x^(2(4)) =x^8 = (x^4)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

16. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
No - only like radicals can be added.
A central angle is an angle formed by 2 radii.
18

17. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
N! / (n-k)!
0
Factors are few - multiples are many.
Members or elements

18. 1/2 divided by 3/7 is the same as
1/2 times 7/3
x= (1.2)(.8)lw
I
All numbers multiples of 1.

19. 5/6 in percent?
83.333%
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3
10

20. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
I
4.25 - 6 - 22
A circle centered at -2 - -2 with radius 3.
II

21. The ratio of the areas of two similar polygons is ...
An arc is a portion of a circumference of a circle.
130pi
... the square of the ratios of the corresponding sides.
(n-2) x 180

22. What is the measure of an exterior angle of a regular pentagon?
13pi / 2
72
7 / 1000
4:5

23. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
x= (1.2)(.8)lw
A = pi(r^2)
All numbers multiples of 1.

24. 1/8 in percent?
A reflection about the origin.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
12.5%
3/2 - 5/3

25. 2sqrt4 + sqrt4 =
The set of elements which can be found in either A or B.
3sqrt4
7 / 1000
180

26. How many multiples does a given number have?
The longest arc between points A and B on a circle'S diameter.
Infinite.
An arc is a portion of a circumference of a circle.
(p + q)/5

27. How many 3-digit positive integers are even and do not contain the digit 4?
70
The direction of the inequality is reversed.
288 (8 9 4)
62.5%

28. a^2 - b^2 =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(a - b)(a + b)
180

29. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
87.5%
12.5%

30. 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?
Its negative reciprocal. (-b/a)
10! / (10-3)! = 720
x= (1.2)(.8)lw
A circle centered on the origin with radius 8.

31. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
The longest arc between points A and B on a circle'S diameter.
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)
Undefined

32. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
(n-2) x 180
The interesection of A and B.
13pi / 2

33. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Indeterminable.
A 30-60-90 triangle.
An arc is a portion of a circumference of a circle.
4a^2(b)

34. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
87.5%
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
No - the input value has exactly one output.

35. 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)!
4a^2(b)
6
An expression with just one term (-6x - 2a^2)

36. A number is divisible by 3 if ...
A reflection about the origin.
4.25 - 6 - 22
The sum of its digits is divisible by 3.
12sqrt2

37. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
An isosceles right triangle.
41 - 43 - 47
F(x + c)

38. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1
41 - 43 - 47
10! / (10-3)! = 720
A reflection about the origin.

39. What is the slope of a horizontal line?
4a^2(b)
413.03 / 10^4 (move the decimal point 4 places to the left)
10! / (10-3)! = 720
0

40. What is the 'Solution' for a set of inequalities.
The overlapping sections.
F(x) + c
$3 -500 in the 9% and $2 -500 in the 7%.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

41. What is the formula for compounded interest?
A grouping of the members within a set based on a shared characteristic.
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.
180

42. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
x(x - y + 1)
(a + b)^2
1
4:5

43. 20<all primes<30
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
55%
23 - 29
6

44. Formula to find a circle'S circumference from its radius?
A circle centered on the origin with radius 8.
C = 2(pi)r
(b + c)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

45. Which quandrant is the lower right hand?
Relationship cannot be determined (what if x is negative?)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
IV
An angle which is supplementary to an interior angle.

46. Which quadrant is the upper left hand?
12.5%
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
II
4:5

47. What is a minor arc?

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

48. Simplify (a^2 + b)^2 - (a^2 - b)^2
$11 -448
Undefined - because we can'T divide by 0.
2 & 3/7
4a^2(b)

49. What does the graph x^2 + y^2 = 64 look like?
18
The set of elements found in both A and B.
.0004809 X 10^11
A circle centered on the origin with radius 8.

50. 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?
A circle centered at -2 - -2 with radius 3.
28. n = 8 - k = 2. n! / k!(n-k)!
7 / 1000
N! / (n-k)!

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