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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)
61 - 67
Two equal sides and two equal angles.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
27^(-4)

2. Which quadrant is the upper left hand?
II
Lies opposite the greater angle
20.5
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. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Ax^2 + bx + c where a -b and c are constants and a /=0
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
62.5%
A reflection about the origin.

4. x^4 + x^7 =
Yes. [i.e. f(x) = x^2 - 1
55%
x^(4+7) = x^11
67 - 71 - 73

5. Describe the relationship between 3x^2 and 3(x - 1)^2
Yes. [i.e. f(x) = x^2 - 1
6
(a - b)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

6. What does the graph x^2 + y^2 = 64 look like?
The third side is greater than the difference and less than the sum.
0
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 circle centered on the origin with radius 8.

7. 1/8 in percent?
27^(-4)
12.5%
Yes. [i.e. f(x) = x^2 - 1
90 degrees

8. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Two angles whose sum is 180.
90pi
70
71 - 73 - 79

9. a^0 =
A subset.
1
1/2 times 7/3
288 (8 9 4)

10. 4.809 X 10^7 =
.0004809 X 10^11
6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Undefined - because we can'T divide by 0.

11. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
27^(-4)
1:1:sqrt2
4:5
(a - b)(a + b)

12. What is the order of operations?
72
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A reflection about the axis.
F(x) + c

13. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
1/(x^y)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The point of intersection of the systems.

14. 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)]?
A chord is a line segment joining two points on a circle.
y = (x + 5)/2
The overlapping sections.
True

15. What is a chord of a circle?
Yes - like radicals can be added/subtracted.
A circle centered at -2 - -2 with radius 3.
A chord is a line segment joining two points on a circle.
... the square of the ratios of the corresponding sides.

16. Which is greater? 200x^295 or 10x^294?
The sum of its digits is divisible by 3.
Relationship cannot be determined (what if x is negative?)
The longest arc between points A and B on a circle'S diameter.
F(x + c)

17. How to find the circumference of a circle which circumscribes a square?
(a - b)^2
0
The direction of the inequality is reversed.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

18. 2sqrt4 + sqrt4 =
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
3sqrt4
Part = Percent X Whole
F(x-c)

19. Find the surface area of a cylinder with radius 3 and height 12.
90pi
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(a - b)(a + b)
75:11

20. What are the irrational numbers?

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21. The ratio of the areas of two similar polygons is ...
(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 square of the ratios of the corresponding sides.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

22. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Pi is the ratio of a circle'S circumference to its diameter.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

23. What is a subset?
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.
70
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

24. What is the 'Restricted domain of a function'?
...multiply by 100.
When the function is not defined for all real numbers -; only a subset of the real numbers.
From northeast - counterclockwise. I - II - III - IV
F(x-c)

25. 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?
10! / 3!(10-3)! = 120
441000 = 1 10 10 10 21 * 21
N! / (k!)(n-k)!
9 & 6/7

26. What are the roots of the quadrinomial x^2 + 2x + 1?
Its last two digits are divisible by 4.
180
67 - 71 - 73
The two xes after factoring.

27. (a^-1)/a^5
C = (pi)d
1/a^6
The interesection of A and B.
F(x-c)

28. What is the slope of a vertical line?

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29. What is the name for a grouping of the members within a set based on a shared characteristic?
87.5%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
True
A subset.

30. 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?
Area of the base X height = (pi)hr^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
No - only like radicals can be added.
75:11

31. What is a central angle?
I
Two angles whose sum is 180.
A central angle is an angle formed by 2 radii.
From northeast - counterclockwise. I - II - III - IV

32. The perimeter of a square is 48 inches. The length of its diagonal is:
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 sum of digits is divisible by 9.
12sqrt2
F(x-c)

33. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
27^(-4)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
x^(4+7) = x^11

34. x^2 = 9. What is the value of x?
1
3/2 - 5/3
Diameter(Pi)
3 - -3

35. Which quadrant is the lower left hand?
III
3
Angle/360 x (pi)r^2
IV

36. Convert 0.7% to a fraction.
1/a^6
7 / 1000
28. n = 8 - k = 2. n! / k!(n-k)!
12sqrt2

37. What is the ratio of the sides of an isosceles right triangle?
II
C = 2(pi)r
1:1:sqrt2
(amount of decrease/original price) x 100%

38. What are congruent triangles?
(a - b)(a + b)
Angle/360 x (pi)r^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Triangles with same measure and same side lengths.

39. 50 < all primes< 60
53 - 59
An angle which is supplementary to an interior angle.
10! / (10-3)! = 720
A set with no members - denoted by a circle with a diagonal through it.

40. How many sides does a hexagon have?
6
1.0843 X 10^11
4:5
A circle centered at -2 - -2 with radius 3.

41. What is an arc of a circle?
x= (1.2)(.8)lw
A central angle is an angle formed by 2 radii.
18
An arc is a portion of a circumference of a circle.

42. What is an isoceles triangle?
Two equal sides and two equal angles.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The third side is greater than the difference and less than the sum.
1.7

43. What is the 'Solution' for a set of inequalities.
The overlapping sections.
The curve opens upward and the vertex is the minimal point on the graph.
F(x-c)
0

44. x^6 / x^3
$3 -500 in the 9% and $2 -500 in the 7%.
x^(6-3) = x^3
Move the decimal point to the right x places
12! / 5!7! = 792

45. Formula to find a circle'S circumference from its radius?
90 degrees
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)
Angle/360 x 2(pi)r
C = 2(pi)r

46. What is the formula for computing simple interest?
12sqrt2
A = I (1 + rt)
A subset.
1/(x^y)

47. 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?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A reflection about the origin.
II
441000 = 1 10 10 10 21 * 21

48. Define a 'Term' -
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 second graph is less steep.
True
$3 -500 in the 9% and $2 -500 in the 7%.

49. How to find the diagonal of a rectangular solid?
3/2 - 5/3
(a - b)^2
3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

50. Evaluate 4/11 + 11/12
F(x) - c
The shortest arc between points A and B on a circle'S diameter.
1 & 37/132
True