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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. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
x(x - y + 1)
2sqrt6
x= (1.2)(.8)lw
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

2. a^2 + 2ab + b^2
(a + b)^2
500
180 degrees
Its last two digits are divisible by 4.

3. 5/6 in percent?
The curve opens upward and the vertex is the minimal point on the graph.
8
83.333%
The set of elements which can be found in either A or B.

4. x^6 / x^3
Its divisible by 2 and by 3.
x^(6-3) = x^3
An infinite set.
x(x - y + 1)

5. What is a parabola?
A circle centered at -2 - -2 with radius 3.
II
Divide by 100.
Ax^2 + bx + c where a -b and c are constants and a /=0

6. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The curve opens downward and the vertex is the maximum point on the graph.
The interesection of A and B.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
8

7. 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?
Its last two digits are divisible by 4.
2.592 kg
A chord is a line segment joining two points on a circle.
The steeper the slope.

8. 30< all primes<40
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
31 - 37
A reflection about the origin.
No - only like radicals can be added.

9. What is an isoceles triangle?
6
180
An infinite set.
Two equal sides and two equal angles.

10. What is the measure of an exterior angle of a regular pentagon?
The sum of digits is divisible by 9.
288 (8 9 4)
3
72

11. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Triangles with same measure and same side lengths.
x^(6-3) = x^3
13pi / 2
An arc is a portion of a circumference of a circle.

12. Define a 'Term' -
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)
An arc is a portion of a circumference of a circle.
1
16.6666%

13. 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?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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
The union of A and B.
6

14. What are complementary angles?
The overlapping sections.
Two angles whose sum is 90.
A circle centered on the origin with radius 8.
The set of elements which can be found in either A or B.

15. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
The union of A and B.
70
1/2 times 7/3

16. What is the name of set with a number of elements which cannot be counted?
7 / 1000
(b + c)
An infinite set.
III

17. What is the slope of a horizontal line?
C = 2(pi)r
0
(amount of decrease/original price) x 100%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

18. What is the set of elements which can be found in either A or B?
A set with a number of elements which can be counted.
Triangles with same measure and same side lengths.
Part = Percent X Whole
The union of A and B.

19. What is the 'Range' of a series of numbers?
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
The point of intersection of the systems.
An arc is a portion of a circumference of a circle.
The greatest value minus the smallest.

20. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The shortest arc between points A and B on a circle'S diameter.
5 OR -5
x^(4+7) = x^11

21. x^(-y)=
A chord is a line segment joining two points on a circle.
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)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1/(x^y)

22. (-1)^2 =
1
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The longest arc between points A and B on a circle'S diameter.
288 (8 9 4)

23. 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?
16.6666%
N! / (n-k)!
When the function is not defined for all real numbers -; only a subset of the real numbers.
A set with no members - denoted by a circle with a diagonal through it.

24. 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.
Two angles whose sum is 90.
The objects within a set.
10

25. What is the slope of a vertical line?

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26. What number between 70 & 75 - inclusive - has the greatest number of factors?
(a + b)^2
12! / 5!7! = 792
70
72

27. What are the smallest three prime numbers greater than 65?
F(x) + c
67 - 71 - 73
A set with no members - denoted by a circle with a diagonal through it.
55%

28. Formula to find a circle'S circumference from its diameter?
Yes. [i.e. f(x) = x^2 - 1
90
The empty set - denoted by a circle with a diagonal through it.
C = (pi)d

29. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
16.6666%
A 30-60-90 triangle.
4:5
Two angles whose sum is 90.

30. What is the surface area of a cylinder with radius 5 and height 8?
75:11
130pi
...multiply by 100.
4.25 - 6 - 22

31. a^2 - 2ab + b^2
A reflection about the origin.
1.0843 X 10^11
x^(2(4)) =x^8 = (x^4)^2
(a - b)^2

32. Area of a triangle?
(base*height) / 2
(n-2) x 180
Indeterminable.
The third side is greater than the difference and less than the sum.

33. Which quadrant is the upper right hand?
The steeper the slope.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A set with a number of elements which can be counted.
I

34. a^0 =
2 & 3/7
3
1
The greatest value minus the smallest.

35. What is the intersection of A and B?
67 - 71 - 73
The steeper the slope.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of elements found in both A and B.

36. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
13pi / 2
G(x) = {x}
Angle/360 x (pi)r^2

37. What is an exterior angle?
An angle which is supplementary to an interior angle.
II
x^(2(4)) =x^8 = (x^4)^2
y = (x + 5)/2

38. What is the 'Solution' for a set of inequalities.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Two angles whose sum is 90.
1
The overlapping sections.

39. Formula for the area of a sector of a circle?
(a - b)(a + b)
13pi / 2
Sector area = (n/360) X (pi)r^2
52

40. How to find the area of a sector?
3 - -3
The set of input values for a function.
$3 -500 in the 9% and $2 -500 in the 7%.
Angle/360 x (pi)r^2

41. What is a major arc?

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42. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
A set with a number of elements which can be counted.
C = 2(pi)r
1
The interesection of A and B.

43. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
I
.0004809 X 10^11

44. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
Area of the base X height = (pi)hr^2
Undefined
A set with no members - denoted by a circle with a diagonal through it.

45. Order of quadrants:
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
53 - 59
From northeast - counterclockwise. I - II - III - IV
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)

46. How to determine percent decrease?
Yes. [i.e. f(x) = x^2 - 1
III
Two equal sides and two equal angles.
(amount of decrease/original price) x 100%

47. 1/2 divided by 3/7 is the same as
No - the input value has exactly one output.
1/2 times 7/3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A tangent is a line that only touches one point on the circumference of a circle.

48. To multiply a number by 10^x
90 degrees
Move the decimal point to the right x places
The set of elements which can be found in either A or B.
87.5%

49. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Diameter(Pi)
288 (8 9 4)
x^(4+7) = x^11

50. x^4 + x^7 =
The two xes after factoring.
x^(4+7) = x^11
67 - 71 - 73
The shortest arc between points A and B on a circle'S diameter.