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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. What is a finite set?
1
67 - 71 - 73
A set with a number of elements which can be counted.
Yes. [i.e. f(x) = x^2 - 1

2. How to find the diagonal of a rectangular solid?
18
The set of input values for a function.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
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.

3. What percent of 40 is 22?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
55%
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
(p + q)/5

4. Formula for the area of a circle?
y = (x + 5)/2
Pi is the ratio of a circle'S circumference to its diameter.
A = pi(r^2)
1/(x^y)

5. If the two sides of a triangle are unequal then the longer side...
A reflection about the axis.
23 - 29
9 & 6/7
Lies opposite the greater angle

6. x^2 = 9. What is the value of x?
3 - -3
48
6
The overlapping sections.

7. 10<all primes<20
41 - 43 - 47
62.5%
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.
11 - 13 - 17 - 19

8. How to find the circumference of a circle which circumscribes a square?
The curve opens downward and the vertex is the maximum point on the graph.
Its last two digits are divisible by 4.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
11 - 13 - 17 - 19

9. Which is greater? 64^5 or 16^8
12sqrt2
1
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
2^9 / 2 = 256

10. 5/6 in percent?
An arc is a portion of a circumference of a circle.
83.333%
5
An isosceles right triangle.

11. 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?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
75:11
The second graph is less steep.
N! / (k!)(n-k)!

12. What is the graph of f(x) shifted downward c units or spaces?
The set of elements which can be found in either A or B.
F(x) - c
4725
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)

13. What are the irrational numbers?

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14. What is a set with no members called?
130pi
y = (x + 5)/2
The empty set - denoted by a circle with a diagonal through it.
10! / (10-3)! = 720

15. What is the maximum value for the function g(x) = (-2x^2) -1?
6 : 1 : 2
8
1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

16. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Two angles whose sum is 180.
Even
.0004809 X 10^11

17. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(b + c)
The objects within a set.
67 - 71 - 73
70

18. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
Diameter(Pi)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1

19. sqrt 2(sqrt 6)=
Ax^2 + bx + c where a -b and c are constants and a /=0
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A circle centered on the origin with radius 8.
Sqrt 12

20. Is 0 even or odd?
5 OR -5
Indeterminable.
(a - b)(a + b)
Even

21. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
53 - 59
18
Its negative reciprocal. (-b/a)

22. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
(amount of increase/original price) x 100%
An isosceles right triangle.
Yes - like radicals can be added/subtracted.
An angle which is supplementary to an interior angle.

23. (-1)^2 =
The curve opens downward and the vertex is the maximum point on the graph.
20.5
1
Angle/360 x (pi)r^2

24. 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 set with no members - denoted by a circle with a diagonal through it.
Its last two digits are divisible by 4.
True
1/2 times 7/3

25. 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.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
55%
C = 2(pi)r

26. How many 3-digit positive integers are even and do not contain the digit 4?
0
4096
8
288 (8 9 4)

27. What is the formula for computing simple interest?
Its negative reciprocal. (-b/a)
The greatest value minus the smallest.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A = I (1 + rt)

28. What does scientific notation mean?
Move the decimal point to the right x places
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Sqrt 12
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...

29. Define a 'Term' -
Pi is the ratio of a circle'S circumference to its diameter.
From northeast - counterclockwise. I - II - III - IV
55%
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)

30. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Its last two digits are divisible by 4.
3
(a - b)(a + b)
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

31. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2^9 / 2 = 256
62.5%
3/2 - 5/3

32. What is the name of set with a number of elements which cannot be counted?
3 - -3
An infinite set.
A central angle is an angle formed by 2 radii.
IV

33. (x^2)^4
No - the input value has exactly one output.
0
x^(2(4)) =x^8 = (x^4)^2
N! / (k!)(n-k)!

34. 413.03 x 10^(-4) =
(a - b)(a + b)
IV
413.03 / 10^4 (move the decimal point 4 places to the left)
N! / (n-k)!

35. Define a 'monomial'
27^(-4)
An expression with just one term (-6x - 2a^2)
48
III

36. What is the empty set?
Even
6
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)
A set with no members - denoted by a circle with a diagonal through it.

37. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
55%
x^(6-3) = x^3
180
1

38. What is the 'Solution' for a set of inequalities.
The overlapping sections.
A reflection about the origin.
(a - b)^2
The third side is greater than the difference and less than the sum.

39. What is a chord of a circle?
90pi
A chord is a line segment joining two points on a circle.
The set of elements which can be found in either A or B.
...multiply by 100.

40. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
F(x) - c
12! / 5!7! = 792
4:5

41. What is the absolute value function?
1/a^6
G(x) = {x}
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
4725

42. Can you subtract 3sqrt4 from sqrt4?
18
Yes - like radicals can be added/subtracted.
12sqrt2
(amount of decrease/original price) x 100%

43. Surface area for a cylinder?
12! / 5!7! = 792
1
2(pi)r^2 + 2(pi)rh
2^9 / 2 = 256

44. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
The greatest value minus the smallest.
75:11
Even
0

45. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
6
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(amount of increase/original price) x 100%
2

46. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
An arc is a portion of a circumference of a circle.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
413.03 / 10^4 (move the decimal point 4 places to the left)
12! / 5!7! = 792

47. Which quadrant is the upper left hand?
x^(6-3) = x^3
87.5%
41 - 43 - 47
II

48. The objects in a set are called two names:
Sqrt 12
2 & 3/7
2
Members or elements

49. How to determine percent decrease?
(a - b)(a + b)
(a + b)^2
7 / 1000
(amount of decrease/original price) x 100%

50. 40 < all primes<50
x^(2(4)) =x^8 = (x^4)^2
Sector area = (n/360) X (pi)r^2
10! / (10-3)! = 720
41 - 43 - 47