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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%
y = (x + 5)/2
A circle centered at -2 - -2 with radius 3.
The greatest value minus the smallest.

2. In a regular polygon with n sides - the formula for the sum of interior angles
90
1:1:sqrt2
(n-2) x 180
F(x) + c

3. What is a finite set?
55%
When the function is not defined for all real numbers -; only a subset of the real numbers.
288 (8 9 4)
A set with a number of elements which can be counted.

4. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
The curve opens downward and the vertex is the maximum point on the graph.
A reflection about the axis.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

5. Convert 0.7% to a fraction.
4.25 - 6 - 22
Its last two digits are divisible by 4.
The curve opens upward and the vertex is the minimal point on the graph.
7 / 1000

6. The objects in a set are called two names:
83.333%
Members or elements
A tangent is a line that only touches one point on the circumference of a circle.
48

7. Simplify 9^(1/2) X 4^3 X 2^(-6)?
x^(2(4)) =x^8 = (x^4)^2
The greatest value minus the smallest.
.0004809 X 10^11
3

8. (6sqrt3) x (2sqrt5) =
6
5
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
13pi / 2

9. What is the percent formula?
Even
10! / (10-3)! = 720
Part = Percent X Whole
Arc length = (n/360) x pi(2r) where n is the number of degrees.

10. A number is divisible by 4 is...
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
72
Its last two digits are divisible by 4.
2sqrt6

11. What is a subset?
A grouping of the members within a set based on a shared characteristic.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1/a^6
A = pi(r^2)

12. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(n-2) x 180
Diameter(Pi)
288 (8 9 4)
70

13. Which is greater? 27^(-4) or 9^(-8)
A central angle is an angle formed by 2 radii.
83.333%
Diameter(Pi)
27^(-4)

14. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
(b + c)
180
Angle/360 x 2(pi)r

15. What is an isoceles triangle?
The overlapping sections.
IV
Two equal sides and two equal angles.
12! / 5!7! = 792

16. To convert a decimal to a percent...
IV
x(x - y + 1)
An angle which is supplementary to an interior angle.
...multiply by 100.

17. Define a 'Term' -
71 - 73 - 79
90 degrees
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)

18. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A = pi(r^2)
An arc is a portion of a circumference of a circle.
x^(4+7) = x^11

19. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
83.333%
(b + c)
(amount of decrease/original price) x 100%

20. The larger the absolute value of the slope...
The steeper the slope.
288 (8 9 4)
x= (1.2)(.8)lw
Relationship cannot be determined (what if x is negative?)

21. x^6 / x^3
31 - 37
... the square of the ratios of the corresponding sides.
x^(6-3) = x^3
N! / (n-k)!

22. What percent of 40 is 22?
55%
18
6
Yes - like radicals can be added/subtracted.

23. 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?
2
75:11
1 & 37/132
From northeast - counterclockwise. I - II - III - IV

24. What is the surface area of a cylinder with radius 5 and height 8?
A reflection about the axis.
1 & 37/132
The sum of digits is divisible by 9.
130pi

25. sqrt 2(sqrt 6)=
The shortest arc between points A and B on a circle'S diameter.
Two angles whose sum is 180.
Sqrt 12
(a - b)(a + b)

26. Which is greater? 200x^295 or 10x^294?
Its negative reciprocal. (-b/a)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
An isosceles right triangle.
Relationship cannot be determined (what if x is negative?)

27. If the two sides of a triangle are unequal then the longer side...
$3 -500 in the 9% and $2 -500 in the 7%.
4.25 - 6 - 22
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Lies opposite the greater angle

28. The slope of a line perpendicular to (a/b)?
52
N! / (n-k)!
0
Its negative reciprocal. (-b/a)

29. 25^(1/2) or sqrt. 25 =
5 OR -5
A = I (1 + rt)
8
4a^2(b)

30. a^2 - b^2
The curve opens downward and the vertex is the maximum point on the graph.
The direction of the inequality is reversed.
(a - b)(a + b)
1.7

31. Solve the quadratic equation ax^2 + bx + c= 0
Divide by 100.
An arc is a portion of a circumference of a circle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
5 OR -5

32. What are the irrational numbers?

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33. Describe the relationship between 3x^2 and 3(x - 1)^2
500
10! / 3!(10-3)! = 120
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)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

34. What is the graph of f(x) shifted left c units or spaces?
A reflection about the origin.
62.5%
A tangent is a line that only touches one point on the circumference of a circle.
F(x + c)

35. What is the sum of the angles of a triangle?
x^(4+7) = x^11
3/2 - 5/3
180 degrees
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

36. What is the 'Range' of a function?
The set of output values for a function.
A circle centered on the origin with radius 8.
The sum of its digits is divisible by 3.
4096

37. What is a chord of a circle?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1
A chord is a line segment joining two points on a circle.
12! / 5!7! = 792

38. 1/8 in percent?
4096
12.5%
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
72

39. A number is divisible by 6 if...
10! / 3!(10-3)! = 120
Its divisible by 2 and by 3.
72
1.0843 X 10^11

40. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
(a + b)^2
0
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3

41. 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
27^(-4)
The direction of the inequality is reversed.
2 & 3/7

42. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
(n-2) x 180
A = pi(r^2)
(p + q)/5

43. 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?
A reflection about the origin.
The set of input values for a function.
A reflection about the axis.
2.592 kg

44. Can you simplify sqrt72?
Its last two digits are divisible by 4.
Sqrt 12
The direction of the inequality is reversed.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

45. 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?
9 : 25
The objects within a set.
1
52

46. What is the graph of f(x) shifted upward c units or spaces?
The curve opens upward and the vertex is the minimal point on the graph.
F(x) + c
The curve opens downward and the vertex is the maximum point on the graph.
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...

47. Formula for the area of a circle?
(n-2) x 180
31 - 37
A tangent is a line that only touches one point on the circumference of a circle.
A = pi(r^2)

48. What is the ratio of the sides of a 30-60-90 triangle?
x^(4+7) = x^11
x(x - y + 1)
1:sqrt3:2
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...

49. 1/2 divided by 3/7 is the same as
9 : 25
A central angle is an angle formed by 2 radii.
(a + b)^2
1/2 times 7/3

50. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A tangent is a line that only touches one point on the circumference of a circle.
The set of input values for a function.