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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. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Its last two digits are divisible by 4.
The set of output values for a function.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
II

2. To multiply a number by 10^x
41 - 43 - 47
$11 -448
Move the decimal point to the right x places
0

3. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
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
2sqrt6
A circle centered at -2 - -2 with radius 3.
Undefined

4. What is a piecewise equation?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
20.5
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

5. Evaluate (4^3)^2
x^(4+7) = x^11
The two xes after factoring.
1
4096

6. Can the output value of a function have more than one input value?
83.333%
0
Yes. [i.e. f(x) = x^2 - 1
An angle which is supplementary to an interior angle.

7. What is a central angle?
A central angle is an angle formed by 2 radii.
The curve opens downward and the vertex is the maximum point on the graph.
I
2sqrt6

8. What is a set with no members called?
(p + q)/5
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 tangent is a line that only touches one point on the circumference of a circle.
The empty set - denoted by a circle with a diagonal through it.

9. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
(base*height) / 2
The steeper the slope.
12sqrt2

10. What is the ratio of the sides of an isosceles right triangle?
... the square of the ratios of the corresponding sides.
N! / (n-k)!
A = I (1 + rt)
1:1:sqrt2

11. What are 'Supplementary angles?'
Two angles whose sum is 180.
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.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The two xes after factoring.

12. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
37.5%
From northeast - counterclockwise. I - II - III - IV
Relationship cannot be determined (what if x is negative?)

13. (a^-1)/a^5
x^(2(4)) =x^8 = (x^4)^2
Area of the base X height = (pi)hr^2
1/a^6
The overlapping sections.

14. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
The set of output values for a function.
...multiply by 100.
2^9 / 2 = 256

15. Define a 'Term' -
Members or elements
12.5%
C = (pi)d
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)

16. Define a 'monomial'
Undefined
83.333%
An expression with just one term (-6x - 2a^2)
1.7

17. What is a subset?
A grouping of the members within a set based on a shared characteristic.
From northeast - counterclockwise. I - II - III - IV
Part = Percent X Whole
All numbers multiples of 1.

18. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
4096
The third side is greater than the difference and less than the sum.
C = (pi)d

19. 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?
500
1/2 times 7/3
Relationship cannot be determined (what if x is negative?)
Two angles whose sum is 90.

20. Order of quadrants:
87.5%
From northeast - counterclockwise. I - II - III - IV
F(x + c)
Members or elements

21. Which is greater? 200x^295 or 10x^294?
A chord is a line segment joining two points on a circle.
Relationship cannot be determined (what if x is negative?)
$3 -500 in the 9% and $2 -500 in the 7%.
Yes. [i.e. f(x) = x^2 - 1

22. Which quadrant is the upper left hand?
Cd
II
The curve opens downward and the vertex is the maximum point on the graph.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

23. Can the input value of a function have more than one output value (i.e. x: y - y1)?
9 : 25
True
No - the input value has exactly one output.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

24. What is the ratio of the sides of a 30-60-90 triangle?
The sum of digits is divisible by 9.
1:sqrt3:2
0
Ax^2 + bx + c where a -b and c are constants and a /=0

25. 4.809 X 10^7 =
.0004809 X 10^11
The curve opens upward and the vertex is the minimal point on the graph.
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^(4+7) = x^11

26. Formula for the area of a sector of a circle?
2^9 / 2 = 256
Sector area = (n/360) X (pi)r^2
180 degrees
2 & 3/7

27. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
71 - 73 - 79
...multiply by 100.
1 & 37/132

28. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
20.5
4.25 - 6 - 22
(amount of increase/original price) x 100%
70

29. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
(a - b)(a + b)
75:11
6
Angle/360 x 2(pi)r

30. What are the irrational numbers?

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31. How to find the circumference of a circle which circumscribes a square?
Indeterminable.
y = 2x^2 - 3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The curve opens upward and the vertex is the minimal point on the graph.

32. (-1)^3 =
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
37.5%
Two angles whose sum is 180.

33. 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
90 degrees
72
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

34. What are the integers?
All numbers multiples of 1.
(n-2) x 180
...multiply by 100.
G(x) = {x}

35. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
72
$3 -500 in the 9% and $2 -500 in the 7%.
Yes - like radicals can be added/subtracted.
Yes. [i.e. f(x) = x^2 - 1

36. Which is greater? 27^(-4) or 9^(-8)
52
N! / (n-k)!
27^(-4)
A reflection about the axis.

37. What is the name for a grouping of the members within a set based on a shared characteristic?
48
A subset.
No - the input value has exactly one output.
From northeast - counterclockwise. I - II - III - IV

38. 2sqrt4 + sqrt4 =
Even
x^(4+7) = x^11
The sum of digits is divisible by 9.
3sqrt4

39. What is the maximum value for the function g(x) = (-2x^2) -1?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
12.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

40. What are the rational numbers?
A set with no members - denoted by a circle with a diagonal through it.
A grouping of the members within a set based on a shared characteristic.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1.0843 X 10^11

41. What is the set of elements which can be found in either A or B?
90
... the square of the ratios of the corresponding sides.
The union of A and B.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

42. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
52
N! / (n-k)!
28. n = 8 - k = 2. n! / k!(n-k)!

43. Find the surface area of a cylinder with radius 3 and height 12.
F(x) - c
Pi is the ratio of a circle'S circumference to its diameter.
The union of A and B.
90pi

44. How to determine percent decrease?
(amount of decrease/original price) x 100%
The interesection of A and B.
55%
75:11

45. How to find the diagonal of a rectangular solid?
10! / 3!(10-3)! = 120
The greatest value minus the smallest.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
An arc is a portion of a circumference of a circle.

46. Volume for a cylinder?
20.5
10! / (10-3)! = 720
Area of the base X height = (pi)hr^2
4725

47. How to find the area of a sector?
x(x - y + 1)
An angle which is supplementary to an interior angle.
9 : 25
Angle/360 x (pi)r^2

48. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
12sqrt2
6
The interesection of A and B.

49. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
x^(2(4)) =x^8 = (x^4)^2
12! / 5!7! = 792
The direction of the inequality is reversed.

50. What is the 'Restricted domain of a function'?
2 & 3/7
2(pi)r^2 + 2(pi)rh
When the function is not defined for all real numbers -; only a subset of the real numbers.
The set of input values for a function.