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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. (x^2)^4
6 : 1 : 2
F(x) + c
x^(2(4)) =x^8 = (x^4)^2
75:11

2. (-1)^3 =
1
130pi
23 - 29
27^(-4)

3. Define an 'expression'.
1
(b + c)
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)
True

4. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
41 - 43 - 47
The objects within a set.
Undefined

5. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
67 - 71 - 73
The curve opens upward and the vertex is the minimal point on the graph.
52
True

6. 5/6 in percent?
III
A reflection about the origin.
16.6666%
83.333%

7. 2sqrt4 + sqrt4 =
Divide by 100.
3sqrt4
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Infinite.

8. What is the area of a regular hexagon with side 6?
The interesection of A and 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
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)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

9. 25^(1/2) or sqrt. 25 =
28. n = 8 - k = 2. n! / k!(n-k)!
The second graph is less steep.
5 OR -5
2(pi)r^2 + 2(pi)rh

10. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
A chord is a line segment joining two points on a circle.
The sum of digits is divisible by 9.
A set with no members - denoted by a circle with a diagonal through it.
1

11. What is the surface area of a cylinder with radius 5 and height 8?
A central angle is an angle formed by 2 radii.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
3 - -3
130pi

12. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Angle/360 x (pi)r^2
$11 -448
.0004809 X 10^11
The sum of its digits is divisible by 3.

13. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
10! / 3!(10-3)! = 120
A circle centered at -2 - -2 with radius 3.
2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

14. How to find the diagonal of a rectangular solid?
Two angles whose sum is 90.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
18
A 30-60-90 triangle.

15. 1/6 in percent?
F(x + c)
16.6666%
7 / 1000
Two equal sides and two equal angles.

16. 3/8 in percent?
53 - 59
37.5%
Even
y = (x + 5)/2

17. How to find the circumference of a circle which circumscribes a square?
$11 -448
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A 30-60-90 triangle.

18. Define a 'Term' -
(amount of increase/original price) x 100%
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)
F(x) - c
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

19. What are the irrational numbers?

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20. (12sqrt15) / (2sqrt5) =
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The set of elements which can be found in either A or B.
180 degrees

21. What is an exterior angle?
An angle which is supplementary to an interior angle.
180 degrees
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)
Indeterminable.

22. How many sides does a hexagon have?
Angle/360 x (pi)r^2
The point of intersection of the systems.
6
37.5%

23. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
1
Even
Yes - like radicals can be added/subtracted.

24. What is the 'Range' of a function?
The second graph is less steep.
4a^2(b)
1.7
The set of output values for a function.

25. What does scientific notation mean?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Two equal sides and two equal angles.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
5

26. A number is divisible by 9 if...
288 (8 9 4)
Its divisible by 2 and by 3.
Sqrt 12
The sum of digits is divisible by 9.

27. Which quadrant is the lower left hand?
An arc is a portion of a circumference of a circle.
... the square of the ratios of the corresponding sides.
27^(-4)
III

28. The larger the absolute value of the slope...
The steeper the slope.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3
The set of elements which can be found in either A or B.

29. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
87.5%
(base*height) / 2
All numbers multiples of 1.
4:5

30. How many 3-digit positive integers are even and do not contain the digit 4?
2(pi)r^2 + 2(pi)rh
The union of A and B.
288 (8 9 4)
A subset.

31. What is the empty set?
The set of output values for a function.
A set with no members - denoted by a circle with a diagonal through it.
1:sqrt3:2
F(x + c)

32. 5/8 in percent?
N! / (n-k)!
62.5%
$3 -500 in the 9% and $2 -500 in the 7%.
3

33. 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?
An arc is a portion of a circumference of a circle.
A reflection about the axis.
N! / (k!)(n-k)!
A = I (1 + rt)

34. What is a set with no members called?
True
The empty set - denoted by a circle with a diagonal through it.
28. n = 8 - k = 2. n! / k!(n-k)!
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

35. The objects in a set are called two names:
Members or elements
The sum of digits is divisible by 9.
The objects within a set.
180

36. What is the formula for computing simple interest?
8
Its divisible by 2 and by 3.
28. n = 8 - k = 2. n! / k!(n-k)!
A = I (1 + rt)

37. What is the measure of an exterior angle of a regular pentagon?
180
72
Relationship cannot be determined (what if x is negative?)
10

38. 30< all primes<40
9 & 6/7
70
31 - 37
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)

39. The slope of a line perpendicular to (a/b)?
A circle centered on the origin with radius 8.
Its negative reciprocal. (-b/a)
When the function is not defined for all real numbers -; only a subset of the real numbers.
70

40. What is the set of elements which can be found in either A or B?
The union of A and B.
2 & 3/7
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
x^(4+7) = x^11

41. What are the roots of the quadrinomial x^2 + 2x + 1?
180
The two xes after factoring.
Members or elements
(amount of decrease/original price) x 100%

42. What is the absolute value function?
G(x) = {x}
Two angles whose sum is 90.
413.03 / 10^4 (move the decimal point 4 places to the left)
Members or elements

43. What is the slope of a vertical line?

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44. Can you add sqrt 3 and sqrt 5?
(base*height) / 2
No - only like radicals can be added.
Pi is the ratio of a circle'S circumference to its diameter.
The sum of its digits is divisible by 3.

45. Can you simplify sqrt72?
90pi
90 degrees
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1

46. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
37.5%
I
2sqrt6
Undefined

47. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Indeterminable.
The set of input values for a function.
2
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

48. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
The set of elements which can be found in either A or B.
41 - 43 - 47
No - only like radicals can be added.

49. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Its negative reciprocal. (-b/a)
Move the decimal point to the right x places

50. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
x^(2(4)) =x^8 = (x^4)^2
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.

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GRE Math: Common Errors

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