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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. x^6 / x^3
x^(6-3) = x^3
II
2(pi)r^2 + 2(pi)rh
The set of output values for a function.

2. To multiply a number by 10^x
... the square of the ratios of the corresponding sides.
Move the decimal point to the right x places
1.7
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

3. x^4 + x^7 =
x^(4+7) = x^11
Angle/360 x (pi)r^2
Its divisible by 2 and by 3.
C = 2(pi)r

4. Is 0 even or odd?
1.0843 X 10^11
Area of the base X height = (pi)hr^2
Even
413.03 / 10^4 (move the decimal point 4 places to the left)

5. Evaluate 4/11 + 11/12
1 & 37/132
12sqrt2
The direction of the inequality is reversed.
(p + q)/5

6. Legs 5 - 12. Hypotenuse?
Yes. [i.e. f(x) = x^2 - 1
Move the decimal point to the right x places
75:11
13

7. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
The curve opens downward and the vertex is the maximum point on the graph.
1 & 37/132
72
An isosceles right triangle.

8. Find the surface area of a cylinder with radius 3 and height 12.
Even
Two angles whose sum is 180.
67 - 71 - 73
90pi

9. a^2 - 2ab + b^2
x^(6-3) = x^3
Sqrt 12
(a - b)^2
Two equal sides and two equal angles.

10. The larger the absolute value of the slope...
The steeper the slope.
3/2 - 5/3
Triangles with same measure and same side lengths.
A set with no members - denoted by a circle with a diagonal through it.

11. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
The empty set - denoted by a circle with a diagonal through it.
Two equal sides and two equal angles.
y = 2x^2 - 3
$11 -448

12. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
18
4:5
N! / (n-k)!
Two equal sides and two equal angles.

13. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1 & 37/132
90
Two angles whose sum is 90.
Cd

14. What is the slope of a vertical line?

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15. 8.84 / 5.2
The set of input values for a function.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1.7
Its divisible by 2 and by 3.

16. What is the empty set?
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)
A set with no members - denoted by a circle with a diagonal through it.
C = (pi)d
1.7

17. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
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.
Indeterminable.
2(pi)r^2 + 2(pi)rh

18. Order of quadrants:
18
From northeast - counterclockwise. I - II - III - IV
3/2 - 5/3
x^(4+7) = x^11

19. 2sqrt4 + sqrt4 =
2
0
Sqrt 12
3sqrt4

20. Describe the relationship between 3x^2 and 3(x - 1)^2
0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Relationship cannot be determined (what if x is negative?)
The shortest arc between points A and B on a circle'S diameter.

21. What is the 'Restricted domain of a function'?
C = 2(pi)r
When the function is not defined for all real numbers -; only a subset of the real numbers.
4725
6

22. What does scientific notation mean?
x= (1.2)(.8)lw
The curve opens downward and the vertex is the maximum point on the graph.
2 & 3/7
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

23. The perimeter of a square is 48 inches. The length of its diagonal is:
31 - 37
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
12sqrt2
Two equal sides and two equal angles.

24. When the 'a' in the parabola is negative...
4:5
1
The curve opens downward and the vertex is the maximum point on the graph.
F(x-c)

25. A number is divisible by 9 if...
53 - 59
The sum of digits is divisible by 9.
28. n = 8 - k = 2. n! / k!(n-k)!
A set with a number of elements which can be counted.

26. What is the graph of f(x) shifted upward c units or spaces?
180 degrees
y = 2x^2 - 3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
F(x) + c

27. What are 'Supplementary angles?'
A = pi(r^2)
Two angles whose sum is 180.
Part = Percent X Whole
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

28. Length of an arc of a circle?
Angle/360 x 2(pi)r
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.
31 - 37
x(x - y + 1)

29. Max and Min lengths for a side of a triangle?
83.333%
16.6666%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The third side is greater than the difference and less than the sum.

30. x^2 = 9. What is the value of x?
3 - -3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A reflection about the origin.
53 - 59

31. 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)?
4:5
(a - b)^2
2sqrt6
y = (x + 5)/2

32. (a^-1)/a^5
48
1/a^6
The longest arc between points A and B on a circle'S diameter.
Sector area = (n/360) X (pi)r^2

33. Factor x^2 - xy + x.
The empty set - denoted by a circle with a diagonal through it.
x(x - y + 1)
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

34. Simplify the expression (p^2 - q^2)/ -5(q - p)
Members or elements
x^(4+7) = x^11
62.5%
(p + q)/5

35. What is a central angle?
A subset.
The shortest arc between points A and B on a circle'S diameter.
A central angle is an angle formed by 2 radii.
Part = Percent X Whole

36. 10^6 has how many zeroes?
6
Factors are few - multiples are many.
Two angles whose sum is 180.
0

37. Which quadrant is the lower left hand?
III
The steeper the slope.
A grouping of the members within a set based on a shared characteristic.
C = (pi)d

38. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
(a + b)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4:5
9 : 25

39. Formula to find a circle'S circumference from its radius?
N! / (k!)(n-k)!
12.5%
Two angles whose sum is 180.
C = 2(pi)r

40. 70 < all primes< 80
The set of input values for a function.
1
An infinite set.
71 - 73 - 79

41. What is a chord of a circle?
1
90pi
The direction of the inequality is reversed.
A chord is a line segment joining two points on a circle.

42. 25^(1/2) or sqrt. 25 =
5 OR -5
10! / (10-3)! = 720
A subset.
A = I (1 + rt)

43. What are the integers?
All numbers multiples of 1.
55%
5
The steeper the slope.

44. What is the measure of an exterior angle of a regular pentagon?
72
When the function is not defined for all real numbers -; only a subset of the real numbers.
Divide by 100.
The third side is greater than the difference and less than the sum.

45. 40 < all primes<50
A = pi(r^2)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(a + b)^2
41 - 43 - 47

46. 1/2 divided by 3/7 is the same as
Sector area = (n/360) X (pi)r^2
1/2 times 7/3
52
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

47. Area of a triangle?
13pi / 2
75:11
(base*height) / 2
II

48. 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?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
20.5
N! / (k!)(n-k)!
The overlapping sections.

49. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Diameter(Pi)
2sqrt6
Infinite.

50. What is a tangent?
(n-2) x 180
441000 = 1 10 10 10 21 * 21
13pi / 2
A tangent is a line that only touches one point on the circumference of a circle.