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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.
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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 central angle?
Angle/360 x (pi)r^2
x^(6-3) = x^3
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A central angle is an angle formed by 2 radii.

2. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
A 30-60-90 triangle.
y = 2x^2 - 3
The curve opens upward and the vertex is the minimal point on the graph.
III

3. Factor a^2 + 2ab + b^2
The sum of its digits is divisible by 3.
4096
8
(a + b)^2

4. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
10! / 3!(10-3)! = 120
N! / (k!)(n-k)!
12! / 5!7! = 792

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?
90
The shortest arc between points A and B on a circle'S diameter.
52
The curve opens downward and the vertex is the maximum point on the graph.

6. What are the real numbers?
(a - b)(a + b)
A tangent is a line that only touches one point on the circumference of a circle.
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)
Sector area = (n/360) X (pi)r^2

7. What is a major arc?

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8. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Move the decimal point to the right x places
180 degrees
.0004809 X 10^11

9. Which quandrant is the lower right hand?
IV
1.0843 X 10^11
The direction of the inequality is reversed.
72

10. How many sides does a hexagon have?
48
The steeper the slope.
2^9 / 2 = 256
6

11. A number is divisible by 9 if...
II
The sum of digits is divisible by 9.
Two angles whose sum is 90.
Move the decimal point to the right x places

12. What is the side length of an equilateral triangle with altitude 6?
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...
Angle/360 x (pi)r^2
y = 2x^2 - 3
70

13. 4.809 X 10^7 =
67 - 71 - 73
90pi
A tangent is a line that only touches one point on the circumference of a circle.
.0004809 X 10^11

14. Describe the relationship between 3x^2 and 3(x - 1)^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.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Undefined - because we can'T divide by 0.
71 - 73 - 79

15. Evaluate 3& 2/7 / 1/3
9 & 6/7
Sqrt 12
4725
The set of elements found in both A and B.

16. What is the slope of a horizontal line?
IV
0
The steeper the slope.
27^(-4)

17. What is the set of elements found in both A and B?
Divide by 100.
The interesection of A and B.
3
180 degrees

18. Can you subtract 3sqrt4 from sqrt4?
Sector area = (n/360) X (pi)r^2
Yes - like radicals can be added/subtracted.
An expression with just one term (-6x - 2a^2)
F(x-c)

19. What does scientific notation mean?
90pi
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
20.5
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

20. 0^0
When the function is not defined for all real numbers -; only a subset of the real numbers.
6
Undefined - because we can'T divide by 0.
Undefined

21. 1/6 in percent?
The third side is greater than the difference and less than the sum.
288 (8 9 4)
16.6666%
3

22. 10^6 has how many zeroes?
Triangles with same measure and same side lengths.
6
1.0843 X 10^11
5 OR -5

23. What is the percent formula?
An infinite set.
A grouping of the members within a set based on a shared characteristic.
Part = Percent X Whole
The third side is greater than the difference and less than the sum.

24. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
A reflection about the axis.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

25. What is the sum of the angles of a triangle?
130pi
(amount of increase/original price) x 100%
1/2 times 7/3
180 degrees

26. 50 < all primes< 60
53 - 59
Its last two digits are divisible by 4.
75:11
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. What is the name of set with a number of elements which cannot be counted?
1
An infinite set.
10! / (10-3)! = 720
IV

28. What are the irrational numbers?

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29. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
288 (8 9 4)
9 : 25
F(x-c)

30. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
The two xes after factoring.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
9 : 25

31. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The curve opens upward and the vertex is the minimal point on the graph.
An infinite set.
2(pi)r^2 + 2(pi)rh
A 30-60-90 triangle.

32. What is the 'union' of A and B?
From northeast - counterclockwise. I - II - III - IV
Diameter(Pi)
The set of elements which can be found in either A or B.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

33. What is the 'Range' of a function?
1/a^6
6
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The set of output values for a function.

34. (-1)^3 =
C = 2(pi)r
1
The longest arc between points A and B on a circle'S diameter.
90

35. A number is divisible by 6 if...
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
6 : 1 : 2
6
Its divisible by 2 and by 3.

36. 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?
3/2 - 5/3
(a - b)(a + b)
83.333%
500

37. Which quadrant is the lower left hand?
13
27^(-4)
III
1:1:sqrt2

38. What is the graph of f(x) shifted right c units or spaces?
N! / (k!)(n-k)!
F(x-c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Cd

39. Surface area for a cylinder?
F(x + c)
An expression with just one term (-6x - 2a^2)
71 - 73 - 79
2(pi)r^2 + 2(pi)rh

40. Solve the quadratic equation ax^2 + bx + c= 0
90
1.7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
$11 -448

41. 7/8 in percent?
A set with a number of elements which can be counted.
31 - 37
The interesection of A and B.
87.5%

42. sqrt 2(sqrt 6)=
Angle/360 x (pi)r^2
Sqrt 12
The curve opens downward and the vertex is the maximum point on the graph.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

43. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4a^2(b)
I
8
4096

44. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
The set of input values for a function.
55%
The direction of the inequality is reversed.

45. What is an exterior angle?
2 & 3/7
The two xes after factoring.
An angle which is supplementary to an interior angle.
12! / 5!7! = 792

46. Order of quadrants:
Its last two digits are divisible by 4.
From northeast - counterclockwise. I - II - III - IV
A set with no members - denoted by a circle with a diagonal through it.
48

47. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
(p + q)/5
Infinite.
2
A tangent is a line that only touches one point on the circumference of a circle.

48. a^2 - 2ab + b^2
(a - b)^2
2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
72

49. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Area of the base X height = (pi)hr^2
Yes. [i.e. f(x) = x^2 - 1

50. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
True
62.5%
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...

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GRE Math: Common Errors

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