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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. 3/8 in percent?
37.5%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Triangles with same measure and same side lengths.
72

2. How to determine percent decrease?
1:1:sqrt2
...multiply by 100.
(amount of decrease/original price) x 100%
Divide by 100.

3. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
1:1:sqrt2
F(x) + c
The set of input values for a function.

4. Formula for the area of a sector of a circle?
y = (x + 5)/2
4725
Sector area = (n/360) X (pi)r^2
18

5. 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?
...multiply by 100.
413.03 / 10^4 (move the decimal point 4 places to the left)
75:11
1:1:sqrt2

6. Formula to find a circle'S circumference from its diameter?
C = (pi)d
The steeper the slope.
1
Sector area = (n/360) X (pi)r^2

7. What is the order of operations?
3 - -3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
6 : 1 : 2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

8. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
2sqrt6
An expression with just one term (-6x - 2a^2)
Undefined - because we can'T divide by 0.
70

9. (-1)^2 =
72
4.25 - 6 - 22
1
Diameter(Pi)

10. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
The set of elements found in both A and B.
The longest arc between points A and B on a circle'S diameter.
71 - 73 - 79

11. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
9 & 6/7
6
13pi / 2

12. Pi is a ratio of what to what?

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13. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Pi is the ratio of a circle'S circumference to its diameter.
3 - -3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

14. What is a subset?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A grouping of the members within a set based on a shared characteristic.
An infinite set.
A set with no members - denoted by a circle with a diagonal through it.

15. 25^(1/2) or sqrt. 25 =
1:1:sqrt2
5 OR -5
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.

16. What are the roots of the quadrinomial x^2 + 2x + 1?
Divide by 100.
.0004809 X 10^11
12sqrt2
The two xes after factoring.

17. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
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)
The sum of its digits is divisible by 3.
3
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

18. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
The objects within a set.
28. n = 8 - k = 2. n! / k!(n-k)!
The shortest arc between points A and B on a circle'S diameter.
A circle centered at -2 - -2 with radius 3.

19. What is the side length of an equilateral triangle with altitude 6?
1
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...
(a - b)(a + b)
53 - 59

20. What are complementary angles?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A 30-60-90 triangle.
Two angles whose sum is 90.
A circle centered on the origin with radius 8.

21. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
12sqrt2
The objects within a set.
(a + b)^2

22. 50 < all primes< 60
The curve opens upward and the vertex is the minimal point on the graph.
53 - 59
6 : 1 : 2
The longest arc between points A and B on a circle'S diameter.

23. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
2(pi)r^2 + 2(pi)rh
(a - b)(a + b)
IV

24. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
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)
Diameter(Pi)
2sqrt6

25. 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?
1
The interesection of A and B.
10! / 3!(10-3)! = 120
Diameter(Pi)

26. 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?
N! / (n-k)!
441000 = 1 10 10 10 21 * 21
1
Lies opposite the greater angle

27. Simplify 9^(1/2) X 4^3 X 2^(-6)?
20.5
F(x) + c
3
13pi / 2

28. To convert a decimal to a percent...
The objects within a set.
...multiply by 100.
y = 2x^2 - 3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

29. 7/8 in percent?
87.5%
53 - 59
31 - 37
41 - 43 - 47

30. What does the graph x^2 + y^2 = 64 look like?
x^(6-3) = x^3
28. n = 8 - k = 2. n! / k!(n-k)!
1
A circle centered on the origin with radius 8.

31. To convert a percent to a fraction....
No - only like radicals can be added.
Undefined - because we can'T divide by 0.
4725
Divide by 100.

32. What is the maximum value for the function g(x) = (-2x^2) -1?
y = (x + 5)/2
1
A chord is a line segment joining two points on a circle.
The second graph is less steep.

33. What is the name of set with a number of elements which cannot be counted?
20.5
Two angles whose sum is 180.
An infinite set.
x^(6-3) = x^3

34. 70 < all primes< 80
F(x) - c
1/2 times 7/3
71 - 73 - 79
The union of A and B.

35. Which quandrant is the lower right hand?
12sqrt2
IV
...multiply by 100.
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...

36. Factor a^2 + 2ab + b^2
(a - b)^2
(a + b)^2
III
2(pi)r^2 + 2(pi)rh

37. Formula to calculate arc length?
(a - b)(a + b)
The third side is greater than the difference and less than the sum.
41 - 43 - 47
Arc length = (n/360) x pi(2r) where n is the number of degrees.

38. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1
6 : 1 : 2
90pi

39. What is the 'Solution' for a system of linear equations?
A circle centered on the origin with radius 8.
The sum of digits is divisible by 9.
x= (1.2)(.8)lw
The point of intersection of the systems.

40. Factor x^2 - xy + x.
The longest arc between points A and B on a circle'S diameter.
The set of elements which can be found in either A or B.
x(x - y + 1)
1/a^6

41. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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

42. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
48
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
1/(x^y)

43. 1/6 in percent?
62.5%
A set with a number of elements which can be counted.
90 degrees
16.6666%

44. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
Relationship cannot be determined (what if x is negative?)
(n-2) x 180
1

45. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
55%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A set with no members - denoted by a circle with a diagonal through it.
A circle centered at -2 - -2 with radius 3.

46. What is the graph of f(x) shifted right c units or spaces?
90pi
72
F(x-c)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

47. Can the input value of a function have more than one output value (i.e. x: y - y1)?
4:5
No - the input value has exactly one output.
A = I (1 + rt)
90pi

48. a^2 - 2ab + b^2
(a - b)^2
13pi / 2
90pi
Its last two digits are divisible by 4.

49. a^2 - b^2 =
(a - b)(a + b)
10! / 3!(10-3)! = 120
The sum of its digits is divisible by 3.
No - only like radicals can be added.

50. What is a finite set?
A set with a number of elements which can be counted.
y = (x + 5)/2
F(x-c)
Undefined