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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. Which is greater? 27^(-4) or 9^(-8)
(n-2) x 180
The set of elements which can be found in either A or B.
Diameter(Pi)
27^(-4)

2. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Undefined
4725
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1

3. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
x^(2(4)) =x^8 = (x^4)^2
A chord is a line segment joining two points on a circle.
$11 -448
The union of A and B.

4. Evaluate 3& 2/7 / 1/3
A = pi(r^2)
1.0843 X 10^11
9 & 6/7
1.7

5. What is the name of set with a number of elements which cannot be counted?
8
An infinite set.
Factors are few - multiples are many.
87.5%

6. Define a 'monomial'
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Pi is the ratio of a circle'S circumference to its diameter.
An expression with just one term (-6x - 2a^2)
12! / 5!7! = 792

7. x^6 / x^3
F(x-c)
2.592 kg
x^(6-3) = x^3
Triangles with same measure and same side lengths.

8. Legs 6 - 8. Hypotenuse?
2(pi)r^2 + 2(pi)rh
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
10
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...

9. Which quadrant is the lower left hand?
31 - 37
y = 2x^2 - 3
III
(n-2) x 180

10. Circumference of a circle?
10! / (10-3)! = 720
(a + b)^2
Diameter(Pi)
II

11. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Even
Its divisible by 2 and by 3.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
An isosceles right triangle.

12. Simplify 9^(1/2) X 4^3 X 2^(-6)?
A = I (1 + rt)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
3
A grouping of the members within a set based on a shared characteristic.

13. What are the integers?
Undefined
All numbers multiples of 1.
x= (1.2)(.8)lw
(a - b)(a + b)

14. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
180
The set of output values for a function.
A grouping of the members within a set based on a shared characteristic.

15. When the 'a' in the parabola is negative...
13
Part = Percent X Whole
The curve opens downward and the vertex is the maximum point on the graph.
1/a^6

16. To convert a percent to a fraction....
Divide by 100.
The set of output values for a function.
The steeper the slope.
10

17. How to determine percent decrease?
(amount of decrease/original price) x 100%
The set of elements which can be found in either A or B.
2^9 / 2 = 256
Indeterminable.

18. 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?
N! / (n-k)!
3
18
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

19. Can the input value of a function have more than one output value (i.e. x: y - y1)?
(p + q)/5
Undefined - because we can'T divide by 0.
No - the input value has exactly one output.
G(x) = {x}

20. Describe the relationship between 3x^2 and 3(x - 1)^2
A circle centered at -2 - -2 with radius 3.
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 set with no members - denoted by a circle with a diagonal through it.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

21. Which is greater? 200x^295 or 10x^294?
1:sqrt3:2
Relationship cannot be determined (what if x is negative?)
180 degrees
90 degrees

22. What is a subset?
An angle which is supplementary to an interior angle.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A grouping of the members within a set based on a shared characteristic.
(n-2) x 180

23. 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?
1
III
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
500

24. 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?
3sqrt4
48
62.5%
(a + b)^2

25. How many multiples does a given number have?
Yes. [i.e. f(x) = x^2 - 1
6 : 1 : 2
Infinite.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

26. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
The sum of digits is divisible by 9.
(a + b)^2
True

27. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
A chord is a line segment joining two points on a circle.
31 - 37
2^9 / 2 = 256
An isosceles right triangle.

28. What is the measure of an exterior angle of a regular pentagon?
90
A subset.
72
11 - 13 - 17 - 19

29. 413.03 x 10^(-4) =
A central angle is an angle formed by 2 radii.
413.03 / 10^4 (move the decimal point 4 places to the left)
Angle/360 x (pi)r^2
x^(6-3) = x^3

30. Which quandrant is the lower right hand?
IV
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
13

31. What is the graph of f(x) shifted left c units or spaces?
1
The steeper the slope.
F(x + c)
All numbers multiples of 1.

32. Factor x^2 - xy + x.
3sqrt4
6
18
x(x - y + 1)

33. 6w^2 - w - 15 = 0
70
0
3/2 - 5/3
Undefined

34. Convert 0.7% to a fraction.
4a^2(b)
(base*height) / 2
2
7 / 1000

35. Solve the quadratic equation ax^2 + bx + c= 0
All numbers multiples of 1.
A reflection about the origin.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x= (1.2)(.8)lw

36. 3/8 in percent?
37.5%
75:11
F(x) - 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...

37. 1/8 in percent?
90pi
12.5%
I
20.5

38. Order of quadrants:
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
From northeast - counterclockwise. I - II - III - IV
A = I (1 + rt)
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

39. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a + b)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

40. The larger the absolute value of the slope...
90
The steeper the slope.
The curve opens downward and the vertex is the maximum point on the graph.
12! / 5!7! = 792

41. Length of an arc of a circle?
(a + b)^2
The sum of digits is divisible by 9.
Angle/360 x 2(pi)r
From northeast - counterclockwise. I - II - III - IV

42. Formula for the area of a circle?
6 : 1 : 2
Factors are few - multiples are many.
A = pi(r^2)
(a - b)^2

43. The slope of a line perpendicular to (a/b)?
1.7
Its negative reciprocal. (-b/a)
C = (pi)d
The empty set - denoted by a circle with a diagonal through it.

44. Pi is a ratio of what to what?

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45. 10^6 has how many zeroes?
The two xes after factoring.
A circle centered at -2 - -2 with radius 3.
6
x^(6-3) = x^3

46. 5/8 in percent?
A subset.
Area of the base X height = (pi)hr^2
62.5%
y = (x + 5)/2

47. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
52
A circle centered at -2 - -2 with radius 3.
1

48. Simplify (a^2 + b)^2 - (a^2 - b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
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)
4a^2(b)
10

49. 50 < all primes< 60
53 - 59
A = I (1 + rt)
Infinite.
Triangles with same measure and same side lengths.

50. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
90pi
67 - 71 - 73
A = pi(r^2)