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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. (a^-1)/a^5
Its last two digits are divisible by 4.
1/a^6
The overlapping sections.
The sum of digits is divisible by 9.

2. a^2 - b^2 =
Triangles with same measure and same side lengths.
(a - b)(a + b)
90 degrees
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

3. Evaluate (4^3)^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
6 : 1 : 2
4096
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

4. Define a 'Term' -
N! / (n-k)!
Yes. [i.e. f(x) = x^2 - 1
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)
Sector area = (n/360) X (pi)r^2

5. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
No - the input value has exactly one output.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Its last two digits are divisible by 4.

6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
0
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Diameter(Pi)
(a - b)^2

7. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Cd
Infinite.
13pi / 2
180

8. What is a finite set?
28. n = 8 - k = 2. n! / k!(n-k)!
Sqrt 12
A set with a number of elements which can be counted.
1.0843 X 10^11

9. Pi is a ratio of what to what?

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10. What are the real numbers?
The second graph is less steep.
Its divisible by 2 and by 3.
61 - 67
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)

11. 30< all primes<40
83.333%
31 - 37
IV
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

12. a^2 + 2ab + b^2
A subset.
(a + b)^2
G(x) = {x}
Relationship cannot be determined (what if x is negative?)

13. Formula of rectangle where l increases by 20% and w decreases by 20%
55%
Angle/360 x 2(pi)r
(base*height) / 2
x= (1.2)(.8)lw

14. Describe the relationship between 3x^2 and 3(x - 1)^2
A reflection about the axis.
Undefined - because we can'T divide by 0.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
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)

15. What does the graph x^2 + y^2 = 64 look like?
The steeper the slope.
13pi / 2
9 : 25
A circle centered on the origin with radius 8.

16. What does scientific notation mean?
7 / 1000
Undefined
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
180

17. When does a function automatically have a restricted domain (2)?
6
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
C = 2(pi)r
180

18. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
37.5%
1
N! / (k!)(n-k)!

19. Which quadrant is the upper right hand?
(base*height) / 2
I
(amount of increase/original price) x 100%
31 - 37

20. What are the integers?
Area of the base X height = (pi)hr^2
All numbers multiples of 1.
N! / (n-k)!
Cd

21. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
The second graph is less steep.
62.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
441000 = 1 10 10 10 21 * 21

22. If the two sides of a triangle are unequal then the longer side...
0
Angle/360 x 2(pi)r
... the square of the ratios of the corresponding sides.
Lies opposite the greater angle

23. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
A circle centered at -2 - -2 with radius 3.
1:1:sqrt2
Its negative reciprocal. (-b/a)

24. What is the percent formula?
Part = Percent X Whole
31 - 37
52
F(x) + c

25. 50 < all primes< 60
Angle/360 x (pi)r^2
All numbers multiples of 1.
53 - 59
F(x) + c

26. Convert 0.7% to a fraction.
90pi
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
12sqrt2
7 / 1000

27. 413.03 x 10^(-4) =
Indeterminable.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
No - only like radicals can be added.
413.03 / 10^4 (move the decimal point 4 places to the left)

28. Order of quadrants:
27^(-4)
From northeast - counterclockwise. I - II - III - IV
A subset.
1:sqrt3:2

29. Write 10 -843 X 10^7 in scientific notation
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The longest arc between points A and B on a circle'S diameter.
1.0843 X 10^11
F(x-c)

30. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
12sqrt2
6
4725
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

31. What is the empty set?
A grouping of the members within a set based on a shared characteristic.
The set of elements which can be found in either A or B.
A set with no members - denoted by a circle with a diagonal through it.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

32. What is the absolute value function?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
G(x) = {x}

33. Circumference of a circle?
The third side is greater than the difference and less than the sum.
Diameter(Pi)
90
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

34. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
48
The two xes after factoring.
1/a^6

35. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(b + c)
A 30-60-90 triangle.
28. n = 8 - k = 2. n! / k!(n-k)!

36. To convert a percent to a fraction....
11 - 13 - 17 - 19
No - the input value has exactly one output.
C = 2(pi)r
Divide by 100.

37. 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?
The set of input values for a function.
1
75:11
Relationship cannot be determined (what if x is negative?)

38. What is the side length of an equilateral triangle with altitude 6?
Diameter(Pi)
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...
All numbers multiples of 1.
6

39. What is the 'domain' of a function?
I
The set of input values for a function.
3 - -3
From northeast - counterclockwise. I - II - III - IV

40. Reduce: 4.8 : 0.8 : 1.6
1
(amount of increase/original price) x 100%
4096
6 : 1 : 2

41. To multiply a number by 10^x
Move the decimal point to the right x places
A circle centered at -2 - -2 with radius 3.
A = I (1 + rt)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

42. 3/8 in percent?
Members or elements
37.5%
Triangles with same measure and same side lengths.
87.5%

43. Factor a^2 + 2ab + b^2
(a + b)^2
70
Its divisible by 2 and by 3.
61 - 67

44. 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.
Move the decimal point to the right x places
The set of elements found in both A and B.
62.5%
90 degrees

45. What are 'Supplementary angles?'
Triangles with same measure and same side lengths.
.0004809 X 10^11
III
Two angles whose sum is 180.

46. What is the name of set with a number of elements which cannot be counted?
An infinite set.
Yes. [i.e. f(x) = x^2 - 1
The set of elements which can be found in either A or B.
The set of elements found in both A and B.

47. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
Members or elements
Pi is the ratio of a circle'S circumference to its diameter.
8

48. What is the measure of an exterior angle of a regular pentagon?
(p + q)/5
1
N! / (n-k)!
72

49. What are complementary angles?
Diameter(Pi)
Two angles whose sum is 90.
F(x) + c
I

50. The slope of a line perpendicular to (a/b)?
F(x) - c
All numbers multiples of 1.
The second graph is less steep.
Its negative reciprocal. (-b/a)