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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.
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?
Angle/360 x 2(pi)r
6 : 1 : 2
The two xes after factoring.
72

2. Legs 5 - 12. Hypotenuse?
13
Angle/360 x 2(pi)r
(amount of decrease/original price) x 100%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

3. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
6 : 1 : 2
3sqrt4
C = (pi)d

4. a^2 - b^2 =
The third side is greater than the difference and less than the sum.
(a - b)(a + b)
The interesection of A and B.
75:11

5. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
(b + c)
The overlapping sections.
9 : 25

6. What is the slope of a horizontal line?
0
441000 = 1 10 10 10 21 * 21
(amount of decrease/original price) x 100%
IV

7. The perimeter of a square is 48 inches. The length of its diagonal is:
(amount of decrease/original price) x 100%
12sqrt2
37.5%
An arc is a portion of a circumference of a circle.

8. Simplify (a^2 + b)^2 - (a^2 - b)^2
2sqrt6
Sector area = (n/360) X (pi)r^2
288 (8 9 4)
4a^2(b)

9. Can you add sqrt 3 and sqrt 5?
(a - b)(a + b)
(b + c)
No - only like radicals can be added.
10

10. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
72
8
Triangles with same measure and same side lengths.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

11. Which quadrant is the upper right hand?
500
I
Part = Percent X Whole
2sqrt6

12. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
413.03 / 10^4 (move the decimal point 4 places to the left)
A reflection about the axis.
The empty set - denoted by a circle with a diagonal through it.
41 - 43 - 47

13. 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?
4096
2.592 kg
An angle which is supplementary to an interior angle.
IV

14. What is a subset?
A grouping of the members within a set based on a shared characteristic.
Indeterminable.
4725
(amount of increase/original price) x 100%

15. a^2 + 2ab + b^2
4725
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.
$3 -500 in the 9% and $2 -500 in the 7%.
(a + b)^2

16. How to find the diagonal of a rectangular solid?
10! / 3!(10-3)! = 120
(b + c)
Sector area = (n/360) X (pi)r^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

17. 1/8 in percent?
...multiply by 100.
A grouping of the members within a set based on a shared characteristic.
12.5%
The two xes after factoring.

18. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
0
3
The second graph is less steep.

19. Formula to calculate arc length?
31 - 37
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Its divisible by 2 and by 3.
C = 2(pi)r

20. What is the 'Range' of a function?
18
6
5
The set of output values for a function.

21. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
11 - 13 - 17 - 19
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

22. 2sqrt4 + sqrt4 =
Ax^2 + bx + c where a -b and c are constants and a /=0
3sqrt4
The second graph is less steep.
Angle/360 x 2(pi)r

23. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
C = (pi)d
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A circle centered at -2 - -2 with radius 3.
Undefined - because we can'T divide by 0.

24. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
67 - 71 - 73
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
90
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

25. 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?
G(x) = {x}
Angle/360 x 2(pi)r
3
10! / (10-3)! = 720

26. 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))?
Angle/360 x 2(pi)r
No - the input value has exactly one output.
18
20.5

27. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
1
A 30-60-90 triangle.
A central angle is an angle formed by 2 radii.
An expression with just one term (-6x - 2a^2)

28. Find the surface area of a cylinder with radius 3 and height 12.
A reflection about the origin.
90pi
12! / 5!7! = 792
A circle centered at -2 - -2 with radius 3.

29. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
C = (pi)d
1
3

30. 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.
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.
x^(2(4)) =x^8 = (x^4)^2
12sqrt2
90 degrees

31. Factor a^2 + 2ab + b^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The overlapping sections.
(a + b)^2
The objects within a set.

32. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
72
Diameter(Pi)
1 & 37/132

33. 30< all primes<40
31 - 37
A 30-60-90 triangle.
(a - b)^2
1

34. Formula for the area of a sector of a circle?
(a + b)^2
Sector area = (n/360) X (pi)r^2
A chord is a line segment joining two points on a circle.
70

35. 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?
y = (x + 5)/2
y = 2x^2 - 3
From northeast - counterclockwise. I - II - III - IV
Move the decimal point to the right x places

36. 5/6 in percent?
(b + c)
83.333%
II
90

37. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
The curve opens downward and the vertex is the maximum point on the graph.
The greatest value minus the smallest.
(amount of increase/original price) x 100%

38. What are the rational numbers?
2(pi)r^2 + 2(pi)rh
3
288 (8 9 4)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

39. How many sides does a hexagon have?
6
A grouping of the members within a set based on a shared characteristic.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

40. What is the 'domain' of a function?
The set of input values for a function.
Relationship cannot be determined (what if x is negative?)
An arc is a portion of a circumference of a circle.
62.5%

41. 7/8 in percent?
2 & 3/7
87.5%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Undefined - because we can'T divide by 0.

42. What is the order of operations?
(a - b)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
True
x^(2(4)) =x^8 = (x^4)^2

43. What is the 'Solution' for a system of linear equations?
The set of output values for a function.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The point of intersection of the systems.
1/2 times 7/3

44. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
N! / (k!)(n-k)!
9 : 25
A central angle is an angle formed by 2 radii.

45. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
13
Triangles with same measure and same side lengths.
13pi / 2

46. 6w^2 - w - 15 = 0
1.7
A tangent is a line that only touches one point on the circumference of a circle.
4725
3/2 - 5/3

47. What number between 70 & 75 - inclusive - has the greatest number of factors?
1 & 37/132
A subset.
72
(a - b)^2

48. Formula to find a circle'S circumference from its diameter?
I
C = (pi)d
441000 = 1 10 10 10 21 * 21
71 - 73 - 79

49. P and r are factors of 100. What is greater - pr or 100?
71 - 73 - 79
Undefined - because we can'T divide by 0.
Indeterminable.
Members or elements

50. a^2 - 2ab + b^2
Even
Ax^2 + bx + c where a -b and c are constants and a /=0
Two angles whose sum is 180.
(a - b)^2

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GRE Math: Common Errors

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