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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. 6w^2 - w - 15 = 0
75:11
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3/2 - 5/3

2. 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?
70
75:11
A 30-60-90 triangle.
The two xes after factoring.

3. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The greatest value minus the smallest.
The objects within a set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

4. What are complementary angles?
31 - 37
F(x) - c
Two angles whose sum is 90.
Its last two digits are divisible by 4.

5. What is the order of operations?
Members or elements
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

6. Evaluate (4^3)^2
Infinite.
A tangent is a line that only touches one point on the circumference of a circle.
31 - 37
4096

7. P and r are factors of 100. What is greater - pr or 100?
288 (8 9 4)
Indeterminable.
1
G(x) = {x}

8. What is the set of elements which can be found in either A or B?
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
1
The union of A and B.
F(x-c)

9. 25^(1/2) or sqrt. 25 =
288 (8 9 4)
Undefined
5 OR -5
The two xes after factoring.

10. When the 'a' in a parabola is positive....
x^(4+7) = x^11
The curve opens upward and the vertex is the minimal point on the graph.
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
A grouping of the members within a set based on a shared characteristic.

11. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1
72
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

12. 40 < all primes<50
41 - 43 - 47
90 degrees
A grouping of the members within a set based on a shared characteristic.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

13. What are the roots of the quadrinomial x^2 + 2x + 1?
16.6666%
55%
The two xes after factoring.
10! / (10-3)! = 720

14. 10<all primes<20
Its negative reciprocal. (-b/a)
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
11 - 13 - 17 - 19

15. The objects in a set are called two names:
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
Members or elements
180 degrees
Pi is the ratio of a circle'S circumference to its diameter.

16. What is the set of elements found in both A and B?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
II
The interesection of A and B.
The set of elements found in both A and B.

17. 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?
13pi / 2
When the function is not defined for all real numbers -; only a subset of the real numbers.
48
The set of input values for a function.

18. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
F(x + c)
$11 -448
A reflection about the axis.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

19. x^6 / x^3
(a - b)(a + b)
The curve opens downward and the vertex is the maximum point on the graph.
x^(6-3) = x^3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

20. Pi is a ratio of what to what?

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21. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
G(x) = {x}
The curve opens downward and the vertex is the maximum point on the graph.
3

22. What is a minor arc?

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23. What is the measure of an exterior angle of a regular pentagon?
N! / (n-k)!
(a - b)(a + b)
72
6

24. To convert a decimal to a percent...
...multiply by 100.
72
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Its divisible by 2 and by 3.

25. How to determine percent increase?
(n-2) x 180
Angle/360 x (pi)r^2
2 & 3/7
(amount of increase/original price) x 100%

26. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
A circle centered on the origin with radius 8.
The overlapping sections.
12! / 5!7! = 792

27. 7/8 in percent?
x(x - y + 1)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
87.5%

28. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
72
A circle centered at -2 - -2 with radius 3.
10! / (10-3)! = 720
3

29. What is an exterior angle?
12sqrt2
1
An angle which is supplementary to an interior angle.
Infinite.

30. Whats the difference between factors and multiples?
A = I (1 + rt)
Factors are few - multiples are many.
The interesection of A and B.
1

31. What does the graph x^2 + y^2 = 64 look like?
0
A circle centered on the origin with radius 8.
The set of output values for a function.
F(x) - c

32. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
10! / (10-3)! = 720
90 degrees
1/a^6

33. 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
The direction of the inequality is reversed.
Even
An expression with just one term (-6x - 2a^2)

34. What is the ratio of the sides of an isosceles right triangle?
II
(base*height) / 2
The direction of the inequality is reversed.
1:1:sqrt2

35. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
10
441000 = 1 10 10 10 21 * 21
8
(a - b)(a + b)

36. sqrt 2(sqrt 6)=
61 - 67
N! / (k!)(n-k)!
Sqrt 12
10! / (10-3)! = 720

37. What is the slope of a horizontal line?
0
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 union of A and B.
1.7

38. 0^0
Indeterminable.
130pi
Its divisible by 2 and by 3.
Undefined

39. Reduce: 4.8 : 0.8 : 1.6
Two equal sides and two equal angles.
The curve opens upward and the vertex is the minimal point on the graph.
6 : 1 : 2
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

40. How to find the area of a sector?
Angle/360 x (pi)r^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
6
The overlapping sections.

41. How many sides does a hexagon have?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
x(x - y + 1)
(base*height) / 2
6

42. 4.809 X 10^7 =
0
Yes. [i.e. f(x) = x^2 - 1
72
.0004809 X 10^11

43. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
52
N! / (k!)(n-k)!
Undefined - because we can'T divide by 0.
(base*height) / 2

44. (x^2)^4
N! / (n-k)!
I
A 30-60-90 triangle.
x^(2(4)) =x^8 = (x^4)^2

45. What is the formula for computing simple interest?
A = I (1 + rt)
Relationship cannot be determined (what if x is negative?)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(a + b)^2

46. 60 < all primes <70
Indeterminable.
Ax^2 + bx + c where a -b and c are constants and a /=0
61 - 67
71 - 73 - 79

47. Which quadrant is the upper right hand?
I
(amount of increase/original price) x 100%
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
Lies opposite the greater angle

48. (-1)^2 =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Undefined
C = (pi)d
1

49. The slope of a line perpendicular to (a/b)?
41 - 43 - 47
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Its negative reciprocal. (-b/a)
An expression with just one term (-6x - 2a^2)

50. What is the ratio of the sides of a 30-60-90 triangle?
130pi
12! / 5!7! = 792
70
1:sqrt3:2