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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. The objects in a set are called two names:
The second graph is less steep.
53 - 59
Members or elements
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)

2. Which quadrant is the upper left hand?
F(x) + c
Yes - like radicals can be added/subtracted.
A reflection about the axis.
II

3. What is the surface area of a cylinder with radius 5 and height 8?
130pi
2
C = 2(pi)r
The set of input values for a function.

4. Pi is a ratio of what to what?

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5. Area of a triangle?
The interesection of A and B.
10! / (10-3)! = 720
A tangent is a line that only touches one point on the circumference of a circle.
(base*height) / 2

6. Which quadrant is the lower left hand?
6
Lies opposite the greater angle
A circle centered on the origin with radius 8.
III

7. A number is divisible by 9 if...
6
The sum of digits is divisible by 9.
A set with a number of elements which can be counted.
288 (8 9 4)

8. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
The interesection of A and B.
The set of input values for a function.
A grouping of the members within a set based on a shared characteristic.

9. Formula for the area of a circle?
IV
A = pi(r^2)
3
A central angle is an angle formed by 2 radii.

10. 3/8 in percent?
(n-2) x 180
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
37.5%
y = (x + 5)/2

11. What is the side length of an equilateral triangle with altitude 6?
(a - b)(a + b)
Divide by 100.
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...
The set of elements found in both A and B.

12. 8.84 / 5.2
A set with a number of elements which can be counted.
(base*height) / 2
90 degrees
1.7

13. What is the name of set with a number of elements which cannot be counted?
An infinite set.
The overlapping sections.
.0004809 X 10^11
The sum of its digits is divisible by 3.

14. What are the smallest three prime numbers greater than 65?
The longest arc between points A and B on a circle'S diameter.
67 - 71 - 73
87.5%
1.0843 X 10^11

15. What is a parabola?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ax^2 + bx + c where a -b and c are constants and a /=0
2 & 3/7
72

16. What percent of 40 is 22?
55%
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)
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
Ax^2 + bx + c where a -b and c are constants and a /=0

17. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
37.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
13

18. What is an arc of a circle?
(b + c)
N! / (k!)(n-k)!
A reflection about the axis.
An arc is a portion of a circumference of a circle.

19. What is an exterior angle?
A circle centered on the origin with radius 8.
N! / (n-k)!
An angle which is supplementary to an interior angle.
The point of intersection of the systems.

20. (12sqrt15) / (2sqrt5) =
4.25 - 6 - 22
Relationship cannot be determined (what if x is negative?)
1/2 times 7/3
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

21. What is the ratio of the sides of an isosceles right triangle?
A set with a number of elements which can be counted.
1:1:sqrt2
G(x) = {x}
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

22. a^2 + 2ab + b^2
41 - 43 - 47
Members or elements
(a + b)^2
130pi

23. Which is greater? 200x^295 or 10x^294?
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)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Relationship cannot be determined (what if x is negative?)
The union of A and B.

24. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
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)
4.25 - 6 - 22
The empty set - denoted by a circle with a diagonal through it.

25. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Angle/360 x 2(pi)r
1
Part = Percent X Whole
The second graph is less steep.

26. What is the intersection of A and B?
F(x + c)
Move the decimal point to the right x places
The set of elements found in both A and B.
Infinite.

27. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
The curve opens downward and the vertex is the maximum point on the graph.
y = (x + 5)/2
2(pi)r^2 + 2(pi)rh

28. (-1)^3 =
A chord is a line segment joining two points on a circle.
Angle/360 x 2(pi)r
1
(a + b)^2

29. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
71 - 73 - 79
A reflection about the axis.
3
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)

30. 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)?
9 & 6/7
(a - b)(a + b)
y = (x + 5)/2
27^(-4)

31. What is a set with no members called?
True
8
71 - 73 - 79
The empty set - denoted by a circle with a diagonal through it.

32. 1/2 divided by 3/7 is the same as
F(x) - c
1/2 times 7/3
An arc is a portion of a circumference of a circle.
When the function is not defined for all real numbers -; only a subset of the real numbers.

33. Factor x^2 - xy + x.
y = 2x^2 - 3
27^(-4)
x(x - y + 1)
10! / 3!(10-3)! = 120

34. 70 < all primes< 80
11 - 13 - 17 - 19
2(pi)r^2 + 2(pi)rh
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)
71 - 73 - 79

35. x^2 = 9. What is the value of x?
3 - -3
72
37.5%
The objects within a set.

36. 5/8 in percent?
1/a^6
62.5%
(amount of decrease/original price) x 100%
When the function is not defined for all real numbers -; only a subset of the real numbers.

37. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
2 & 3/7
2
28. n = 8 - k = 2. n! / k!(n-k)!

38. (x^2)^4
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
No - the input value has exactly one output.
x^(2(4)) =x^8 = (x^4)^2
16.6666%

39. To convert a percent to a fraction....
The steeper the slope.
Divide by 100.
1/(x^y)
x= (1.2)(.8)lw

40. What is the maximum value for the function g(x) = (-2x^2) -1?
1
55%
Pi is the ratio of a circle'S circumference to its diameter.
70

41. 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?
Its negative reciprocal. (-b/a)
The longest arc between points A and B on a circle'S diameter.
62.5%
N! / (k!)(n-k)!

42. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
y = 2x^2 - 3
4a^2(b)
5 OR -5

43. What is the name for a grouping of the members within a set based on a shared characteristic?
1
A subset.
3
Ax^2 + bx + c where a -b and c are constants and a /=0

44. What is the formula for computing simple interest?
The curve opens upward and the vertex is the minimal point on the graph.
12.5%
A = I (1 + rt)
4:5

45. What is a finite set?
62.5%
12! / 5!7! = 792
A set with a number of elements which can be counted.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

46. Volume for a cylinder?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Area of the base X height = (pi)hr^2
4a^2(b)
1.0843 X 10^11

47. Legs 5 - 12. Hypotenuse?
13
Yes. [i.e. f(x) = x^2 - 1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The steeper the slope.

48. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
A chord is a line segment joining two points on a circle.
N! / (k!)(n-k)!
Lies opposite the greater angle

49. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
62.5%
Ax^2 + bx + c where a -b and c are constants and a /=0
441000 = 1 10 10 10 21 * 21

50. Formula to find a circle'S circumference from its radius?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
11 - 13 - 17 - 19
C = 2(pi)r
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a