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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. 3/8 in percent?
The two xes after factoring.
37.5%
10! / 3!(10-3)! = 120
An arc is a portion of a circumference of a circle.

2. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
3/2 - 5/3
61 - 67
10! / (10-3)! = 720
C = (pi)d

3. Evaluate 3& 2/7 / 1/3
F(x) + c
Part = Percent X Whole
9 & 6/7
1/a^6

4. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
A circle centered at -2 - -2 with radius 3.
The set of output values for a function.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A set with a number of elements which can be counted.

5. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
The interesection of A and B.
True
2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

6. What are the integers?
All numbers multiples of 1.
2^9 / 2 = 256
A central angle is an angle formed by 2 radii.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

7. What is a minor arc?

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8. 7/8 in percent?
An infinite set.
Diameter(Pi)
87.5%
N! / (n-k)!

9. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The direction of the inequality is reversed.
The union of A and B.
A 30-60-90 triangle.

10. What is the empty set?
1/(x^y)
A set with no members - denoted by a circle with a diagonal through it.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Cd

11. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
IV
53 - 59
71 - 73 - 79

12. (-1)^2 =
6
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1

13. a^0 =
1
0
5
Members or elements

14. To multiply a number by 10^x
Move the decimal point to the right x places
A = I (1 + rt)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A set with a number of elements which can be counted.

15. To convert a percent to a fraction....
A tangent is a line that only touches one point on the circumference of a circle.
4a^2(b)
y = (x + 5)/2
Divide by 100.

16. a^2 - b^2 =
41 - 43 - 47
37.5%
(a - b)(a + b)
3/2 - 5/3

17. What is a tangent?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A tangent is a line that only touches one point on the circumference of a circle.
Factors are few - multiples are many.
72

18. Which is greater? 200x^295 or 10x^294?
3 - -3
Relationship cannot be determined (what if x is negative?)
75:11
83.333%

19. How to find the circumference of a circle which circumscribes a square?
Ax^2 + bx + c where a -b and c are constants and a /=0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of output values for a function.
13

20. 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)]?
x(x - y + 1)
True
90 degrees
The second graph is less steep.

21. Describe the relationship between the graphs of x^2 and (1/2)x^2
(a + b)^2
The second graph is less steep.
1.7
Angle/360 x 2(pi)r

22. 70 < all primes< 80
71 - 73 - 79
2^9 / 2 = 256
The set of elements which can be found in either A or B.
Indeterminable.

23. What is the ratio of the sides of a 30-60-90 triangle?
9 & 6/7
The point of intersection of the systems.
1:sqrt3:2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

24. What is the sum of the angles of a triangle?
x^(2(4)) =x^8 = (x^4)^2
180 degrees
11 - 13 - 17 - 19
$11 -448

25. A number is divisible by 9 if...
3/2 - 5/3
72
0
The sum of digits is divisible by 9.

26. Define an 'expression'.
A = pi(r^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)
1.0843 X 10^11
A chord is a line segment joining two points on a circle.

27. Surface area for a cylinder?
A circle centered on the origin with radius 8.
A reflection about the origin.
x^(6-3) = x^3
2(pi)r^2 + 2(pi)rh

28. Write 10 -843 X 10^7 in scientific notation
F(x) + c
The shortest arc between points A and B on a circle'S diameter.
1.0843 X 10^11
I

29. When the 'a' in the parabola is negative...
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
41 - 43 - 47
The curve opens downward and the vertex is the maximum point on the graph.
Its negative reciprocal. (-b/a)

30. What is the 'Range' of a function?
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)
Relationship cannot be determined (what if x is negative?)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The set of output values for a function.

31. Area of a triangle?
(base*height) / 2
No - the input value has exactly one output.
$11 -448
Ax^2 + bx + c where a -b and c are constants and a /=0

32. 413.03 x 10^(-4) =
180 degrees
413.03 / 10^4 (move the decimal point 4 places to the left)
$3 -500 in the 9% and $2 -500 in the 7%.
x^(2(4)) =x^8 = (x^4)^2

33. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
4a^2(b)
Indeterminable.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

34. What are the members or elements of a set?
The objects within a set.
6
10
2(pi)r^2 + 2(pi)rh

35. Which quadrant is the upper right hand?
A central angle is an angle formed by 2 radii.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
I
True

36. 4.809 X 10^7 =
4a^2(b)
The interesection of A and B.
.0004809 X 10^11
II

37. 10<all primes<20
The greatest value minus the smallest.
11 - 13 - 17 - 19
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Angle/360 x 2(pi)r

38. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Cd
F(x-c)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
An isosceles right triangle.

39. How many multiples does a given number have?
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)
83.333%
N! / (n-k)!
Infinite.

40. a^2 - b^2
(a - b)(a + b)
C = (pi)d
71 - 73 - 79
72

41. What is an exterior angle?
No - only like radicals can be added.
An angle which is supplementary to an interior angle.
... the square of the ratios of the corresponding sides.
A grouping of the members within a set based on a shared characteristic.

42. What is a subset?
A grouping of the members within a set based on a shared characteristic.
A 30-60-90 triangle.
Triangles with same measure and same side lengths.
441000 = 1 10 10 10 21 * 21

43. Can you simplify sqrt72?
N! / (k!)(n-k)!
Its last two digits are divisible by 4.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
75:11

44. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
The direction of the inequality is reversed.
71 - 73 - 79
C = 2(pi)r

45. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
The empty set - denoted by a circle with a diagonal through it.
13pi / 2
1

46. What are the real numbers?
x^(4+7) = x^11
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)
The empty set - denoted by a circle with a diagonal through it.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

47. The objects in a set are called two names:
2(pi)r^2 + 2(pi)rh
Members or elements
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.
N! / (k!)(n-k)!

48. Pi is a ratio of what to what?

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49. Circumference of a circle?
Even
(a - b)(a + b)
Diameter(Pi)
Two equal sides and two equal angles.

50. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
1
Infinite.
Its divisible by 2 and by 3.