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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. 3/8 in percent?
12.5%
37.5%
Its divisible by 2 and by 3.
The curve opens upward and the vertex is the minimal point on the graph.

2. 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?
500
True
Lies opposite the greater angle
5

3. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
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.
A circle centered at -2 - -2 with radius 3.
The steeper the slope.

4. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Cd
2 & 3/7
4096

5. What does scientific notation mean?
9 : 25
Cd
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
5

6. (a^-1)/a^5
12.5%
1/a^6
18
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.

7. What is the 'Solution' for a set of inequalities.
The overlapping sections.
(b + c)
x= (1.2)(.8)lw
1/2 times 7/3

8. x^2 = 9. What is the value of x?
3 - -3
The set of input values for a function.
(p + q)/5
(base*height) / 2

9. What is a piecewise equation?
1
Undefined - because we can'T divide by 0.
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.

10. What are the real numbers?
6
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
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)
83.333%

11. To convert a percent to a fraction....
An arc is a portion of a circumference of a circle.
(a + b)^2
Divide by 100.
6 : 1 : 2

12. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
No - only like radicals can be added.
The curve opens upward and the vertex is the minimal point on the graph.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

13. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
53 - 59
4096
90pi
12! / 5!7! = 792

14. How to find the diagonal of a rectangular solid?
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.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
An isosceles right triangle.
4a^2(b)

15. What is the ratio of the sides of a 30-60-90 triangle?
.0004809 X 10^11
1:sqrt3:2
Members or elements
A = I (1 + rt)

16. Solve the quadratic equation ax^2 + bx + c= 0
Its last two digits are divisible by 4.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
IV

17. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
1:1:sqrt2
(b + c)
1

18. Define a 'Term' -
Undefined
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 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)
9 : 25

19. What is the name for a grouping of the members within a set based on a shared characteristic?
1
A subset.
8
3sqrt4

20. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
9 : 25
A = pi(r^2)
20.5
72

21. 6w^2 - w - 15 = 0
2(pi)r^2 + 2(pi)rh
3/2 - 5/3
The point of intersection of the systems.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

22. To convert a decimal to a percent...
3
...multiply by 100.
11 - 13 - 17 - 19
0

23. What is the formula for compounded interest?
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.
Relationship cannot be determined (what if x is negative?)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
53 - 59

24. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
True
2 & 3/7
The direction of the inequality is reversed.
N! / (n-k)!

25. x^(-y)=
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1/(x^y)
Undefined
72

26. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
An arc is a portion of a circumference of a circle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Yes - like radicals can be added/subtracted.

27. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
11 - 13 - 17 - 19
The point of intersection of the systems.
1

28. A number is divisible by 3 if ...
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4.25 - 6 - 22
The sum of its digits is divisible by 3.
Angle/360 x (pi)r^2

29. How to find the circumference of a circle which circumscribes a square?
N! / (k!)(n-k)!
4096
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4:5

30. What number between 70 & 75 - inclusive - has the greatest number of factors?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
72
2
The set of input values for a function.

31. The larger the absolute value of the slope...
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3sqrt4
The steeper the slope.
53 - 59

32. What is the 'Restricted domain of a function'?
500
(a + b)^2
The point of intersection of the systems.
When the function is not defined for all real numbers -; only a subset of the real numbers.

33. How many multiples does a given number have?
Infinite.
7 / 1000
Triangles with same measure and same side lengths.
y = (x + 5)/2

34. 70 < all primes< 80
Indeterminable.
71 - 73 - 79
A subset.
3

35. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The set of elements found in both A and B.
An angle which is supplementary to an interior angle.
A reflection about the origin.
70

36. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A set with no members - denoted by a circle with a diagonal through it.
1
A 30-60-90 triangle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

37. What are 'Supplementary angles?'
The greatest value minus the smallest.
Two angles whose sum is 180.
Undefined
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

38. What are complementary angles?
Two angles whose sum is 90.
The second graph is less steep.
A set with no members - denoted by a circle with a diagonal through it.
An angle which is supplementary to an interior angle.

39. Formula to calculate arc length?
1/(x^y)
130pi
An infinite set.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

40. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1/(x^y)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An angle which is supplementary to an interior angle.

41. 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.
.0004809 X 10^11
2(pi)r^2 + 2(pi)rh
The sum of its digits is divisible by 3.

42. What is the 'union' of A and B?
Move the decimal point to the right x places
A chord is a line segment joining two points on a circle.
x^(2(4)) =x^8 = (x^4)^2
The set of elements which can be found in either A or B.

43. 50 < all primes< 60
An arc is a portion of a circumference of a circle.
23 - 29
441000 = 1 10 10 10 21 * 21
53 - 59

44. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
The set of elements found in both A and B.
y = (x + 5)/2
A = pi(r^2)
True

45. (6sqrt3) x (2sqrt5) =
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Angle/360 x 2(pi)r
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
83.333%

46. Can the input value of a function have more than one output value (i.e. x: y - y1)?
A circle centered at -2 - -2 with radius 3.
No - the input value has exactly one output.
27^(-4)
(a + b)^2

47. (-1)^2 =
1
All numbers multiples of 1.
87.5%
90pi

48. 25^(1/2) or sqrt. 25 =
4096
5 OR -5
9 & 6/7
(a + b)^2

49. 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?
1
Even
10! / (10-3)! = 720
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

50. What is the area of a regular hexagon with side 6?
True
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Yes. [i.e. f(x) = x^2 - 1

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GRE Math: Common Errors

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