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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. When does a function automatically have a restricted domain (2)?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
20.5
Two equal sides and two equal angles.

2. a^2 - b^2
16.6666%
(a - b)(a + b)
(a - b)^2
All numbers multiples of 1.

3. The objects in a set are called two names:
Members or elements
Divide by 100.
A = I (1 + rt)
Part = Percent X Whole

4. How many sides does a hexagon have?
The curve opens downward and the vertex is the maximum point on the graph.
23 - 29
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
6

5. Legs: 3 - 4. Hypotenuse?
1.0843 X 10^11
5
x(x - y + 1)
4a^2(b)

6. What is the 'Restricted domain of a function'?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Undefined - because we can'T divide by 0.
When the function is not defined for all real numbers -; only a subset of the real numbers.
2

7. Formula for the area of a circle?
A = pi(r^2)
4a^2(b)
F(x-c)
Indeterminable.

8. What is a subset?
62.5%
The set of elements which can be found in either A or B.
3sqrt4
A grouping of the members within a set based on a shared characteristic.

9. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Its divisible by 2 and by 3.
12! / 5!7! = 792
All numbers multiples of 1.
28. n = 8 - k = 2. n! / k!(n-k)!

10. (-1)^2 =
4a^2(b)
9 & 6/7
The second graph is less steep.
1

11. What are the irrational numbers?

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12. The ratio of the areas of two similar polygons is ...
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
... the square of the ratios of the corresponding sides.
1
4:5

13. Factor x^2 - xy + x.
2 & 3/7
y = 2x^2 - 3
x(x - y + 1)
A central angle is an angle formed by 2 radii.

14. What is a central angle?
Its divisible by 2 and by 3.
180 degrees
31 - 37
A central angle is an angle formed by 2 radii.

15. 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?
N! / (k!)(n-k)!
9 : 25
53 - 59
F(x) + c

16. Which quandrant is the lower right hand?
The set of elements which can be found in either A or B.
3 - -3
IV
1.7

17. 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
12sqrt2
A chord is a line segment joining two points on a circle.
The shortest arc between points A and B on a circle'S diameter.

18. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
4:5
The curve opens downward and the vertex is the maximum point on the graph.
N! / (n-k)!

19. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The set of input values for a function.
180
12sqrt2

20. 40 < all primes<50
The second graph is less steep.
41 - 43 - 47
The set of input values for a function.
13pi / 2

21. a^2 + 2ab + b^2
(a + b)^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...
The curve opens downward and the vertex is the maximum point on the graph.
(amount of increase/original price) x 100%

22. (a^-1)/a^5
(a + b)^2
A set with no members - denoted by a circle with a diagonal through it.
1/a^6
II

23. 4.809 X 10^7 =
.0004809 X 10^11
3 - -3
Yes. [i.e. f(x) = x^2 - 1
83.333%

24. 0^0
Undefined
(amount of increase/original price) x 100%
A circle centered at -2 - -2 with radius 3.
12sqrt2

25. A number is divisible by 4 is...
10! / 3!(10-3)! = 120
...multiply by 100.
Its last two digits are divisible by 4.
The objects within a set.

26. 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.
90 degrees
The third side is greater than the difference and less than the sum.
y = (x + 5)/2
9 : 25

27. Define a 'monomial'
A circle centered on the origin with radius 8.
An expression with just one term (-6x - 2a^2)
(n-2) x 180
Relationship cannot be determined (what if x is negative?)

28. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
4.25 - 6 - 22
The sum of its digits is divisible by 3.
12! / 5!7! = 792
90

29. Number of degrees in a triangle
0
IV
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
180

30. 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?
5 OR -5
II
2
441000 = 1 10 10 10 21 * 21

31. What are the members or elements of a set?
x(x - y + 1)
9 : 25
2.592 kg
The objects within a set.

32. Order of quadrants:
II
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Angle/360 x (pi)r^2
From northeast - counterclockwise. I - II - III - IV

33. What number between 70 & 75 - inclusive - has the greatest number of factors?
Cd
x^(2(4)) =x^8 = (x^4)^2
72
90

34. How to determine percent decrease?
Pi is the ratio of a circle'S circumference to its diameter.
(amount of decrease/original price) x 100%
2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

35. 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?
Part = Percent X Whole
The objects within a set.
9 : 25
75:11

36. Which is greater? 27^(-4) or 9^(-8)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
0
I
27^(-4)

37. What is the set of elements which can be found in either A or B?
$3 -500 in the 9% and $2 -500 in the 7%.
Divide by 100.
The union of A and B.
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)

38. When the 'a' in a parabola is positive....
A set with no members - denoted by a circle with a diagonal through it.
The curve opens upward and the vertex is the minimal point on the graph.
0
x^(6-3) = x^3

39. How to find the diagonal of a rectangular solid?
F(x) + c
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
2(pi)r^2 + 2(pi)rh
55%

40. Circumference of a circle?
IV
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
All numbers multiples of 1.
Diameter(Pi)

41. What is the side length of an equilateral triangle with altitude 6?
A chord is a line segment joining two points on a circle.
(b + c)
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...
The third side is greater than the difference and less than the sum.

42. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Its last two digits are divisible by 4.
N! / (k!)(n-k)!
A central angle is an angle formed by 2 radii.
$11 -448

43. Formula of rectangle where l increases by 20% and w decreases by 20%
The interesection of A and B.
I
N! / (k!)(n-k)!
x= (1.2)(.8)lw

44. 10^6 has how many zeroes?
6
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A set with no members - denoted by a circle with a diagonal through it.
3

45. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
III
Members or elements
6 : 1 : 2

46. Formula to calculate arc length?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(a + b)^2
41 - 43 - 47
Arc length = (n/360) x pi(2r) where n is the number of degrees.

47. Evaluate 3& 2/7 / 1/3
9 & 6/7
IV
Members or elements
A circle centered at -2 - -2 with radius 3.

48. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
1.7
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A reflection about the axis.
180 degrees

49. Simplify the expression [(b^2 - c^2) / (b - c)]
18
6
Its negative reciprocal. (-b/a)
(b + c)

50. A number is divisible by 6 if...
Its divisible by 2 and by 3.
1 & 37/132
12.5%
$11 -448