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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 are the integers?
4.25 - 6 - 22
All numbers multiples of 1.
2.592 kg
The second graph is less steep.

2. 413.03 x 10^(-4) =
413.03 / 10^4 (move the decimal point 4 places to the left)
1/2 times 7/3
16.6666%
Its negative reciprocal. (-b/a)

3. Formula to find a circle'S circumference from its radius?
(b + c)
(p + q)/5
An angle which is supplementary to an interior angle.
C = 2(pi)r

4. Can the output value of a function have more than one input value?
III
x= (1.2)(.8)lw
Even
Yes. [i.e. f(x) = x^2 - 1

5. 30< all primes<40
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)
31 - 37
2 & 3/7
A 30-60-90 triangle.

6. What is a tangent?
4725
A tangent is a line that only touches one point on the circumference of a circle.
31 - 37
1 & 37/132

7. 50 < all primes< 60
.0004809 X 10^11
4a^2(b)
130pi
53 - 59

8. What is the intersection of A and B?
Sector area = (n/360) X (pi)r^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x= (1.2)(.8)lw
The set of elements found in both A and B.

9. How to find the diagonal of a rectangular solid?
Two equal sides and two equal angles.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The direction of the inequality is reversed.
Relationship cannot be determined (what if x is negative?)

10. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A grouping of the members within a set based on a shared characteristic.
C = 2(pi)r
9 & 6/7
A circle centered at -2 - -2 with radius 3.

11. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
N! / (n-k)!
The two xes after factoring.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

12. a^0 =
1
53 - 59
90
2^9 / 2 = 256

13. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
90
A reflection about the origin.
4.25 - 6 - 22
The set of input values for a function.

14. a^2 - 2ab + b^2
(a - b)^2
(amount of increase/original price) x 100%
180
The set of elements found in both A and B.

15. 1/2 divided by 3/7 is the same as
9 : 25
1/2 times 7/3
2 & 3/7
The greatest value minus the smallest.

16. The ratio of the areas of two similar polygons is ...
A grouping of the members within a set based on a shared characteristic.
The set of elements found in both A and B.
... the square of the ratios of the corresponding sides.
(base*height) / 2

17. Evaluate 4/11 + 11/12
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
C = 2(pi)r
The direction of the inequality is reversed.
1 & 37/132

18. What is a parabola?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
288 (8 9 4)
F(x) - c
Ax^2 + bx + c where a -b and c are constants and a /=0

19. Simplify 9^(1/2) X 4^3 X 2^(-6)?
28. n = 8 - k = 2. n! / k!(n-k)!
1.7
12.5%
3

20. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
The point of intersection of the systems.
Cd
y = (x + 5)/2

21. How to determine percent increase?
6
An isosceles right triangle.
37.5%
(amount of increase/original price) x 100%

22. Which is greater? 27^(-4) or 9^(-8)
An infinite set.
27^(-4)
Its divisible by 2 and by 3.
x^(6-3) = x^3

23. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Indeterminable.
1
48

24. What percent of 40 is 22?
N! / (n-k)!
(a - b)^2
F(x) - c
55%

25. 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.
(a + b)^2
Sector area = (n/360) X (pi)r^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

26. 4.809 X 10^7 =
.0004809 X 10^11
Its divisible by 2 and by 3.
(a - b)^2
1:1:sqrt2

27. How many 3-digit positive integers are even and do not contain the digit 4?
413.03 / 10^4 (move the decimal point 4 places to the left)
A = pi(r^2)
5 OR -5
288 (8 9 4)

28. 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?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The two xes after factoring.
The curve opens upward and the vertex is the minimal point on the graph.
9 : 25

29. Legs: 3 - 4. Hypotenuse?
37.5%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
5
Yes. [i.e. f(x) = x^2 - 1

30. Which quadrant is the upper right hand?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4096
I
70

31. Convert 0.7% to a fraction.
288 (8 9 4)
Its divisible by 2 and by 3.
7 / 1000
N! / (k!)(n-k)!

32. 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?
1:1:sqrt2
1/2 times 7/3
y = 2x^2 - 3
Area of the base X height = (pi)hr^2

33. Describe the relationship between 3x^2 and 3(x - 1)^2
C = 2(pi)r
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of elements which can be found in either A or B.
2 & 3/7

34. Reduce: 4.8 : 0.8 : 1.6
The empty set - denoted by a circle with a diagonal through it.
F(x) - c
6 : 1 : 2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

35. The slope of a line perpendicular to (a/b)?
... the square of the ratios of the corresponding sides.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Sector area = (n/360) X (pi)r^2
Its negative reciprocal. (-b/a)

36. What is the name of set with a number of elements which cannot be counted?
Yes. [i.e. f(x) = x^2 - 1
An infinite set.
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.
The sum of its digits is divisible by 3.

37. A number is divisible by 4 is...
72
A = I (1 + rt)
Its last two digits are divisible by 4.
The shortest arc between points A and B on a circle'S diameter.

38. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
Cd

39. When does a function automatically have a restricted domain (2)?
The objects within a set.
10! / (10-3)! = 720
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x-c)

40. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
Diameter(Pi)
180 degrees
N! / (k!)(n-k)!

41. What is the 'union' of A and B?
6 : 1 : 2
A chord is a line segment joining two points on a circle.
10! / 3!(10-3)! = 120
The set of elements which can be found in either A or B.

42. What is the graph of f(x) shifted downward c units or spaces?
Its negative reciprocal. (-b/a)
F(x) - c
20.5
(base*height) / 2

43. Which quandrant is the lower right hand?
(b + c)
The greatest value minus the smallest.
Relationship cannot be determined (what if x is negative?)
IV

44. What is the absolute value function?
0
1
III
G(x) = {x}

45. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
Two angles whose sum is 180.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
90 degrees
62.5%

46. x^6 / x^3
x^(6-3) = x^3
Divide by 100.
37.5%
(a + b)^2

47. Define an 'expression'.
The longest arc between points A and B on a circle'S diameter.
Even
An expression with just one term (-6x - 2a^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)

48. The perimeter of a square is 48 inches. The length of its diagonal is:
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
12sqrt2
The set of output values for a function.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

49. What is the set of elements found in both A and B?
Cd
(a + b)^2
The interesection of A and B.
A 30-60-90 triangle.

50. x^4 + x^7 =
71 - 73 - 79
x^(4+7) = x^11
Two equal sides and two equal angles.
Pi is the ratio of a circle'S circumference to its diameter.