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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 the measure of an exterior angle of a regular pentagon?
72
(p + q)/5
(amount of increase/original price) x 100%
1/a^6

2. Define a 'Term' -
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 = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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)
62.5%

3. x^(-y)=
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
87.5%
A = I (1 + rt)
1/(x^y)

4. 7/8 in percent?
A = I (1 + rt)
Diameter(Pi)
11 - 13 - 17 - 19
87.5%

5. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
I
1:1:sqrt2
A reflection about the axis.
Its last two digits are divisible by 4.

6. A number is divisible by 9 if...
A central angle is an angle formed by 2 radii.
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.
12.5%
The sum of digits is divisible by 9.

7. Which quadrant is the upper right hand?
An arc is a portion of a circumference of a circle.
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.
Pi is the ratio of a circle'S circumference to its diameter.
I

8. 6w^2 - w - 15 = 0
The direction of the inequality is reversed.
3/2 - 5/3
(a + b)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

9. What is a set with no members called?
2^9 / 2 = 256
The empty set - denoted by a circle with a diagonal through it.
10! / (10-3)! = 720
Arc length = (n/360) x pi(2r) where n is the number of degrees.

10. How to determine percent decrease?
(n-2) x 180
Undefined - because we can'T divide by 0.
12! / 5!7! = 792
(amount of decrease/original price) x 100%

11. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Relationship cannot be determined (what if x is negative?)
A chord is a line segment joining two points on a circle.
Divide by 100.
3

12. What is the order of operations?
500
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)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Its divisible by 2 and by 3.

13. What is the slope of a horizontal line?
x^(4+7) = x^11
413.03 / 10^4 (move the decimal point 4 places to the left)
0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

14. How many multiples does a given number have?
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)
0
... the square of the ratios of the corresponding sides.
Infinite.

15. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
1 & 37/132
The greatest value minus the smallest.
4725
A reflection about the axis.

16. What is the area of a regular hexagon with side 6?
Cd
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
G(x) = {x}
Undefined - because we can'T divide by 0.

17. How to find the diagonal of a rectangular solid?
41 - 43 - 47
9 : 25
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Arc length = (n/360) x pi(2r) where n is the number of degrees.

18. What is the graph of f(x) shifted upward c units or spaces?
41 - 43 - 47
Arc length = (n/360) x pi(2r) where n is the number of degrees.
F(x) + c
1

19. How to determine percent increase?
(n-2) x 180
F(x + c)
(amount of increase/original price) x 100%
1

20. What is the percent formula?
Part = Percent X Whole
1
C = (pi)d
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

21. 1/8 in percent?
61 - 67
C = 2(pi)r
12.5%
A tangent is a line that only touches one point on the circumference of a circle.

22. 4.809 X 10^7 =
Arc length = (n/360) x pi(2r) where n is the number of degrees.
0
.0004809 X 10^11
(b + c)

23. What is an exterior angle?
An angle which is supplementary to an interior angle.
0
x^(2(4)) =x^8 = (x^4)^2
Undefined - because we can'T divide by 0.

24. Reduce: 4.8 : 0.8 : 1.6
(b + c)
6 : 1 : 2
Undefined - because we can'T divide by 0.
3sqrt4

25. How many 3-digit positive integers are even and do not contain the digit 4?
True
1 & 37/132
288 (8 9 4)
$3 -500 in the 9% and $2 -500 in the 7%.

26. What is the 'Restricted domain of a function'?
When the function is not defined for all real numbers -; only a subset of the real numbers.
The greatest value minus the smallest.
Pi is the ratio of a circle'S circumference to its diameter.
Indeterminable.

27. 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)?
y = (x + 5)/2
The direction of the inequality is reversed.
3 - -3
Ax^2 + bx + c where a -b and c are constants and a /=0

28. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
1.7
y = 2x^2 - 3
53 - 59

29. 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))?
20.5
x^(2(4)) =x^8 = (x^4)^2
No - the input value has exactly one output.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

30. What is a piecewise equation?
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)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
413.03 / 10^4 (move the decimal point 4 places to the left)

31. Can you simplify sqrt72?
.0004809 X 10^11
Undefined
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
G(x) = {x}

32. How to find the circumference of a circle which circumscribes a square?
(a + b)^2
37.5%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
55%

33. Can the output value of a function have more than one input value?
Pi is the ratio of a circle'S circumference to its diameter.
Yes. [i.e. f(x) = x^2 - 1
27^(-4)
Diameter(Pi)

34. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
Its divisible by 2 and by 3.
A reflection about the axis.
2.592 kg
$3 -500 in the 9% and $2 -500 in the 7%.

35. To convert a decimal to a percent...
IV
Its last two digits are divisible by 4.
...multiply by 100.
4096

36. How many sides does a hexagon have?
18
6
An infinite set.
Undefined

37. What are the irrational numbers?

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38. 30< all primes<40
31 - 37
71 - 73 - 79
72
N! / (k!)(n-k)!

39. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
10! / 3!(10-3)! = 120
61 - 67
Indeterminable.

40. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1/(x^y)
1 & 37/132

41. What is the maximum value for the function g(x) = (-2x^2) -1?
23 - 29
1 & 37/132
18
1

42. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1.0843 X 10^11
13
The direction of the inequality is reversed.
Cd

43. If the two sides of a triangle are unequal then the longer side...
The set of output values for a function.
61 - 67
Lies opposite the greater angle
1/a^6

44. 5/6 in percent?
C = 2(pi)r
83.333%
67 - 71 - 73
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)

45. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
Lies opposite the greater angle
61 - 67
4096
10! / 3!(10-3)! = 120

46. What is the formula for computing simple interest?
y = 2x^2 - 3
8
A = I (1 + rt)
1/a^6

47. What is a subset?
11 - 13 - 17 - 19
Sector area = (n/360) X (pi)r^2
Factors are few - multiples are many.
A grouping of the members within a set based on a shared characteristic.

48. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
90 degrees
Arc length = (n/360) x pi(2r) where n is the number of degrees.
37.5%

49. x^6 / x^3
An angle which is supplementary to an interior angle.
x^(6-3) = x^3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
90

50. (x^2)^4
0
x^(2(4)) =x^8 = (x^4)^2
An arc is a portion of a circumference of a circle.
1