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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. Pi is a ratio of what to what?

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2. What is the name for a grouping of the members within a set based on a shared characteristic?
Its divisible by 2 and by 3.
4.25 - 6 - 22
A subset.
70

3. Which is greater? 200x^295 or 10x^294?
41 - 43 - 47
Diameter(Pi)
Relationship cannot be determined (what if x is negative?)
$11 -448

4. What is a set with no members called?
N! / (n-k)!
The empty set - denoted by a circle with a diagonal through it.
A reflection about the origin.
41 - 43 - 47

5. What is the slope of a vertical line?

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6. What is the sum of the angles of a triangle?
The union of A and B.
5
180 degrees
$11 -448

7. What is a parabola?
An isosceles right triangle.
Ax^2 + bx + c where a -b and c are constants and a /=0
13
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

8. Which quandrant is the lower right hand?
IV
A set with a number of elements which can be counted.
27^(-4)
A subset.

9. What is the absolute value function?
G(x) = {x}
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
70
I

10. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
9 & 6/7
The sum of digits is divisible by 9.
x^(2(4)) =x^8 = (x^4)^2

11. sqrt 2(sqrt 6)=
(amount of increase/original price) x 100%
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.
Sqrt 12

12. What are complementary angles?
N! / (k!)(n-k)!
Infinite.
Two angles whose sum is 90.
12sqrt2

13. How to determine percent decrease?
(amount of decrease/original price) x 100%
53 - 59
Angle/360 x 2(pi)r
The interesection of A and B.

14. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4:5
A central angle is an angle formed by 2 radii.
(p + q)/5
8

15. Which quadrant is the upper left hand?
Lies opposite the greater angle
II
An expression with just one term (-6x - 2a^2)
Ax^2 + bx + c where a -b and c are constants and a /=0

16. 1/2 divided by 3/7 is the same as
The overlapping sections.
The direction of the inequality is reversed.
1/2 times 7/3
Its last two digits are divisible by 4.

17. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
Lies opposite the greater angle
0
Ax^2 + bx + c where a -b and c are constants and a /=0

18. 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?
(a - b)(a + b)
413.03 / 10^4 (move the decimal point 4 places to the left)
10! / 3!(10-3)! = 120
The empty set - denoted by a circle with a diagonal through it.

19. The larger the absolute value of the slope...
The steeper the slope.
A = I (1 + rt)
From northeast - counterclockwise. I - II - III - IV
Arc length = (n/360) x pi(2r) where n is the number of degrees.

20. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
... the square of the ratios of the corresponding sides.
1
A circle centered at -2 - -2 with radius 3.
18

21. What is an isoceles triangle?
Two equal sides and two equal angles.
F(x-c)
1
A tangent is a line that only touches one point on the circumference of a circle.

22. What is the 'Solution' for a set of inequalities.
The third side is greater than the difference and less than the sum.
28. n = 8 - k = 2. n! / k!(n-k)!
500
The overlapping sections.

23. What is the name of set with a number of elements which cannot be counted?
The curve opens upward and the vertex is the minimal point on the graph.
90pi
72
An infinite set.

24. A number is divisible by 4 is...
Its last two digits are divisible by 4.
4:5
The two xes after factoring.
(a - b)(a + b)

25. (-1)^2 =
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
130pi
1
The two xes after factoring.

26. What is the order of operations?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
3 - -3
The curve opens downward and the vertex is the maximum point on the graph.

27. x^4 + x^7 =
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The curve opens downward and the vertex is the maximum point on the graph.
x^(4+7) = x^11
F(x) - c

28. How to find the diagonal of a rectangular solid?
Diameter(Pi)
All numbers multiples of 1.
Undefined
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

29. 5/6 in percent?
The sum of its digits is divisible by 3.
83.333%
A set with a number of elements which can be counted.
62.5%

30. 8.84 / 5.2
A chord is a line segment joining two points on a circle.
Infinite.
1.7
Its last two digits are divisible by 4.

31. 70 < all primes< 80
1
When the function is not defined for all real numbers -; only a subset of the real numbers.
All numbers multiples of 1.
71 - 73 - 79

32. 25^(1/2) or sqrt. 25 =
130pi
The sum of its digits is divisible by 3.
3
5 OR -5

33. The slope of a line perpendicular to (a/b)?
1/a^6
Its negative reciprocal. (-b/a)
67 - 71 - 73
A 30-60-90 triangle.

34. (6sqrt3) x (2sqrt5) =
Factors are few - multiples are many.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The empty set - denoted by a circle with a diagonal through it.
G(x) = {x}

35. Which is greater? 64^5 or 16^8
Sector area = (n/360) X (pi)r^2
A set with no members - denoted by a circle with a diagonal through it.
83.333%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

36. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
2.592 kg
A = pi(r^2)
28. n = 8 - k = 2. n! / k!(n-k)!
1/a^6

37. What is the measure of an exterior angle of a regular pentagon?
72
Members or elements
N! / (n-k)!
A reflection about the axis.

38. a^2 - b^2 =
N! / (n-k)!
(a - b)(a + b)
Triangles with same measure and same side lengths.
Sqrt 12

39. Legs 5 - 12. Hypotenuse?
C = 2(pi)r
13
6 : 1 : 2
The second graph is less steep.

40. What is the surface area of a cylinder with radius 5 and height 8?
The set of output values for a function.
3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
130pi

41. Legs 6 - 8. Hypotenuse?
87.5%
10
A reflection about the axis.
2^9 / 2 = 256

42. The perimeter of a square is 48 inches. The length of its diagonal is:
A circle centered on the origin with radius 8.
12sqrt2
180 degrees
From northeast - counterclockwise. I - II - III - IV

43. What are the real numbers?
From northeast - counterclockwise. I - II - III - IV
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)
A central angle is an angle formed by 2 radii.
The set of input values for a function.

44. x^6 / x^3
y = 2x^2 - 3
Members or elements
x^(6-3) = x^3
5

45. 3/8 in percent?
37.5%
(a - b)^2
The greatest value minus the smallest.
A reflection about the axis.

46. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
13pi / 2
Undefined - because we can'T divide by 0.
70

47. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Area of the base X height = (pi)hr^2
A subset.
.0004809 X 10^11

48. What are the rational numbers?
180 degrees
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
23 - 29

49. Factor a^2 + 2ab + b^2
(a + b)^2
70
IV
When the function is not defined for all real numbers -; only a subset of the real numbers.

50. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
The steeper the slope.
0
Two equal sides and two equal angles.