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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. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
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)
(amount of increase/original price) x 100%
90pi
28. n = 8 - k = 2. n! / k!(n-k)!

2. What is the intersection of A and B?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Factors are few - multiples are many.
The set of elements found in both A and B.
23 - 29

3. Number of degrees in a triangle
413.03 / 10^4 (move the decimal point 4 places to the left)
Divide by 100.
180
0

4. What is a major arc?

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5. Formula of rectangle where l increases by 20% and w decreases by 20%
180 degrees
x^(6-3) = x^3
The sum of digits is divisible by 9.
x= (1.2)(.8)lw

6. Pi is a ratio of what to what?

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7. P and r are factors of 100. What is greater - pr or 100?
61 - 67
Indeterminable.
48
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

8. How many multiples does a given number have?
Infinite.
3sqrt4
Two equal sides and two equal angles.
The set of elements found in both A and B.

9. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
Even
A chord is a line segment joining two points on a circle.
Angle/360 x 2(pi)r

10. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
A circle centered at -2 - -2 with radius 3.
The point of intersection of the systems.
The empty set - denoted by a circle with a diagonal through it.

11. (-1)^3 =
53 - 59
27^(-4)
1
Triangles with same measure and same side lengths.

12. 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 + b)^2
x^(4+7) = x^11
75:11

13. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
The third side is greater than the difference and less than the sum.
413.03 / 10^4 (move the decimal point 4 places to the left)
1

14. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
The set of elements which can be found in either A or B.
Indeterminable.
N! / (n-k)!
Relationship cannot be determined (what if x is negative?)

15. x^6 / x^3
2.592 kg
x^(6-3) = x^3
27^(-4)
1

16. What are the members or elements of a set?
1:sqrt3:2
90 degrees
83.333%
The objects within a set.

17. What are the integers?
(a + b)^2
All numbers multiples of 1.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

18. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
A 30-60-90 triangle.
y = 2x^2 - 3
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...
53 - 59

19. What is a minor arc?

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20. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
From northeast - counterclockwise. I - II - III - IV
(a - b)(a + b)
The curve opens downward and the vertex is the maximum point on the graph.

21. When the 'a' in a parabola is positive....
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
83.333%
Sector area = (n/360) X (pi)r^2
The curve opens upward and the vertex is the minimal point on the graph.

22. Evaluate 4/11 + 11/12
61 - 67
27^(-4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 & 37/132

23. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Pi is the ratio of a circle'S circumference to its diameter.
4725
4096

24. The larger the absolute value of the slope...
Angle/360 x 2(pi)r
A chord is a line segment joining two points on a circle.
An isosceles right triangle.
The steeper the slope.

25. 40 < all primes<50
41 - 43 - 47
3 - -3
The sum of digits is divisible by 9.
28. n = 8 - k = 2. n! / k!(n-k)!

26. Can you subtract 3sqrt4 from sqrt4?
IV
Yes - like radicals can be added/subtracted.
Its negative reciprocal. (-b/a)
The longest arc between points A and B on a circle'S diameter.

27. Circumference of a circle?
Diameter(Pi)
13pi / 2
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)
The two xes after factoring.

28. What are the smallest three prime numbers greater than 65?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The set of output values for a function.
Yes - like radicals can be added/subtracted.
67 - 71 - 73

29. What is a finite set?
A set with a number of elements which can be counted.
y = (x + 5)/2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
When the function is not defined for all real numbers -; only a subset of the real numbers.

30. 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)]?
(n-2) x 180
(amount of decrease/original price) x 100%
True
Move the decimal point to the right x places

31. 50 < all primes< 60
Factors are few - multiples are many.
53 - 59
2sqrt6
3sqrt4

32. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The overlapping sections.
2sqrt6
No - only like radicals can be added.

33. How to find the circumference of a circle which circumscribes a square?
The set of input values for a function.
31 - 37
(base*height) / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

34. A number is divisible by 4 is...
A = pi(r^2)
3
Its last two digits are divisible by 4.
31 - 37

35. 10<all primes<20
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1.0843 X 10^11
11 - 13 - 17 - 19
53 - 59

36. Which quadrant is the upper left hand?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
II
31 - 37
(a - b)^2

37. Surface area for a cylinder?
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.
Even
2(pi)r^2 + 2(pi)rh
13pi / 2

38. What are congruent triangles?
Move the decimal point to the right x places
Triangles with same measure and same side lengths.
The union of A and B.
Its negative reciprocal. (-b/a)

39. Solve the quadratic equation ax^2 + bx + c= 0
No - the input value has exactly one output.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ax^2 + bx + c where a -b and c are constants and a /=0

40. What are complementary angles?
28. n = 8 - k = 2. n! / k!(n-k)!
Two angles whose sum is 90.
(a + b)^2
N! / (k!)(n-k)!

41. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Ax^2 + bx + c where a -b and c are constants and a /=0
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A 30-60-90 triangle.
11 - 13 - 17 - 19

42. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
1
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.
13pi / 2
8

43. What is the slope of a vertical line?

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44. Is 0 even or odd?
Move the decimal point to the right x places
The interesection of A and B.
Even
...multiply by 100.

45. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
An arc is a portion of a circumference of a circle.
13
Arc length = (n/360) x pi(2r) where n is the number of degrees.

46. How to find the area of a sector?
180 degrees
Angle/360 x (pi)r^2
12sqrt2
x^(2(4)) =x^8 = (x^4)^2

47. 10^6 has how many zeroes?
2 & 3/7
4096
Angle/360 x 2(pi)r
6

48. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Undefined - because we can'T divide by 0.
The shortest arc between points A and B on a circle'S diameter.
F(x) + c
A reflection about the axis.

49. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Pi is the ratio of a circle'S circumference to its diameter.
No - the input value has exactly one output.
9 & 6/7

50. Describe the relationship between the graphs of x^2 and (1/2)x^2
Factors are few - multiples are many.
41 - 43 - 47
The set of elements found in both A and B.
The second graph is less steep.