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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. Formula to calculate arc length?
1
The empty set - denoted by a circle with a diagonal through it.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A reflection about the origin.

2. 5/6 in percent?
0
83.333%
5
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

3. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Relationship cannot be determined (what if x is negative?)
4.25 - 6 - 22
12! / 5!7! = 792
A reflection about the origin.

4. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
28. n = 8 - k = 2. n! / k!(n-k)!
Infinite.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

5. 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?
1
48
71 - 73 - 79
C = (pi)d

6. What is the formula for compounded interest?
G(x) = {x}
The direction of the inequality is reversed.
Indeterminable.
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.

7. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
53 - 59
A subset.
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.

8. Formula for the area of a circle?
A = pi(r^2)
4725
...multiply by 100.
Part = Percent X Whole

9. sqrt 2(sqrt 6)=
Sqrt 12
12! / 5!7! = 792
55%
48

10. What is the graph of f(x) shifted left c units or spaces?
9 : 25
0
F(x + c)
(a - b)(a + b)

11. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Divide by 100.

12. (x^2)^4
Yes - like radicals can be added/subtracted.
16.6666%
x^(2(4)) =x^8 = (x^4)^2
3 - -3

13. What is the set of elements found in both A and B?
Two angles whose sum is 180.
A 30-60-90 triangle.
130pi
The interesection of A and B.

14. When does a function automatically have a restricted domain (2)?
C = 2(pi)r
A tangent is a line that only touches one point on the circumference of a circle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The longest arc between points A and B on a circle'S diameter.

15. What is a subset?
37.5%
The greatest value minus the smallest.
A grouping of the members within a set based on a shared characteristic.
1

16. What is the slope of a horizontal line?
0
A = I (1 + rt)
16.6666%
1/a^6

17. The perimeter of a square is 48 inches. The length of its diagonal is:
4a^2(b)
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
12sqrt2

18. x^4 + x^7 =
3
x^(4+7) = x^11
The interesection of A and B.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

19. What is an isoceles triangle?
Triangles with same measure and same side lengths.
Lies opposite the greater angle
y = 2x^2 - 3
Two equal sides and two equal angles.

20. What is the 'Solution' for a system of linear equations?
31 - 37
The greatest value minus the smallest.
The point of intersection of the systems.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

21. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
27^(-4)
The sum of its digits is divisible by 3.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

22. If the two sides of a triangle are unequal then the longer side...
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Lies opposite the greater angle
Factors are few - multiples are many.

23. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2.592 kg
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)

24. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
The two xes after factoring.
13
Factors are few - multiples are many.

25. What are the roots of the quadrinomial x^2 + 2x + 1?
3
Angle/360 x (pi)r^2
The two xes after factoring.
F(x) + c

26. What are the irrational numbers?

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27. Define a 'Term' -
The two xes after factoring.
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)
5 OR -5
C = (pi)d

28. What is the percent formula?
A circle centered at -2 - -2 with radius 3.
Relationship cannot be determined (what if x is negative?)
(a + b)^2
Part = Percent X Whole

29. What are the rational numbers?
F(x-c)
A 30-60-90 triangle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(amount of increase/original price) x 100%

30. A number is divisible by 4 is...
5
A subset.
Its last two digits are divisible by 4.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

31. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
III
An arc is a portion of a circumference of a circle.
A reflection about the axis.

32. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1/a^6
Yes. [i.e. f(x) = x^2 - 1
A tangent is a line that only touches one point on the circumference of a circle.

33. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
2
12sqrt2
13

34. Surface area for a cylinder?
12sqrt2
2(pi)r^2 + 2(pi)rh
1 & 37/132
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

35. If an inequality is multiplied or divided by a negative number....
6
The direction of the inequality is reversed.
Its divisible by 2 and by 3.
3sqrt4

36. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
The third side is greater than the difference and less than the sum.
1
10! / (10-3)! = 720
A circle centered at -2 - -2 with radius 3.

37. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
A chord is a line segment joining two points on a circle.
72
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

38. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
13pi / 2
$3 -500 in the 9% and $2 -500 in the 7%.
(a - b)^2
0

39. P and r are factors of 100. What is greater - pr or 100?
Undefined
Indeterminable.
3
Members or elements

40. What is the measure of an exterior angle of a regular pentagon?
72
From northeast - counterclockwise. I - II - III - IV
Infinite.
70

41. a^2 + 2ab + b^2
A reflection about the axis.
(a + b)^2
An arc is a portion of a circumference of a circle.
The curve opens upward and the vertex is the minimal point on the graph.

42. What is the sum of the angles of a triangle?
4096
83.333%
180 degrees
A set with no members - denoted by a circle with a diagonal through it.

43. What is a minor arc?

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44. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
3
A 30-60-90 triangle.
48
(a - b)^2

45. What is an exterior angle?
An angle which is supplementary to an interior angle.
2(pi)r^2 + 2(pi)rh
Yes - like radicals can be added/subtracted.
(a + b)^2

46. Factor x^2 - xy + x.
F(x) - c
G(x) = {x}
III
x(x - y + 1)

47. What is the graph of f(x) shifted upward c units or spaces?
41 - 43 - 47
y = (x + 5)/2
C = (pi)d
F(x) + c

48. What is the 'Range' of a series of numbers?
(p + q)/5
The greatest value minus the smallest.
1/(x^y)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

49. What are congruent triangles?
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.
1
37.5%

50. 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
A central angle is an angle formed by 2 radii.
The third side is greater than the difference and less than the sum.
441000 = 1 10 10 10 21 * 21