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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 four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Sector area = (n/360) X (pi)r^2
90
2^9 / 2 = 256
10

2. What is a major arc?

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3. 7/8 in percent?
An expression with just one term (-6x - 2a^2)
Sqrt 12
The set of elements found in both A and B.
87.5%

4. What is the 'union' of A and B?
$11 -448
The interesection of A and B.
(a - b)(a + b)
The set of elements which can be found in either A or B.

5. Reduce: 4.8 : 0.8 : 1.6
.0004809 X 10^11
72
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
6 : 1 : 2

6. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
1
Diameter(Pi)
A reflection about the origin.
55%

7. 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?
9 : 25
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3 - -3
2.592 kg

8. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Move the decimal point to the right x places
4:5
A = I (1 + rt)
130pi

9. 6w^2 - w - 15 = 0
3/2 - 5/3
A central angle is an angle formed by 2 radii.
x= (1.2)(.8)lw
1

10. How to find the area of a sector?
62.5%
A grouping of the members within a set based on a shared characteristic.
Angle/360 x (pi)r^2
12sqrt2

11. Define a 'monomial'
4:5
An expression with just one term (-6x - 2a^2)
Infinite.
Its negative reciprocal. (-b/a)

12. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
(a - b)(a + b)
7 / 1000
.0004809 X 10^11
52

13. Which quadrant is the upper right hand?
The shortest arc between points A and B on a circle'S diameter.
I
70
3

14. Evaluate (4^3)^2
4096
IV
The second graph is less steep.
413.03 / 10^4 (move the decimal point 4 places to the left)

15. What is the ratio of the sides of a 30-60-90 triangle?
The steeper the slope.
1:sqrt3:2
37.5%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

16. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Infinite.
2^9 / 2 = 256
A reflection about the axis.
1

17. a^0 =
Its divisible by 2 and by 3.
1 & 37/132
6 : 1 : 2
1

18. Evaluate 3& 2/7 / 1/3
From northeast - counterclockwise. I - II - III - IV
2^9 / 2 = 256
9 & 6/7
Angle/360 x (pi)r^2

19. What are the irrational numbers?

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20. Circumference of a circle?
Diameter(Pi)
Sector area = (n/360) X (pi)r^2
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
II

21. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
3
1
61 - 67

22. How many 3-digit positive integers are even and do not contain the digit 4?
48
288 (8 9 4)
1
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...

23. What is the sum of the angles of a triangle?
288 (8 9 4)
IV
180 degrees
18

24. What is a chord of a circle?
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)
A chord is a line segment joining two points on a circle.
4725
The two xes after factoring.

25. Which is greater? 64^5 or 16^8
(n-2) x 180
A circle centered on the origin with radius 8.
A central angle is an angle formed by 2 radii.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

26. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Members or elements
(a + b)^2
The set of elements found in both A and B.
2

27. The slope of a line perpendicular to (a/b)?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The steeper the slope.
1/(x^y)
Its negative reciprocal. (-b/a)

28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
2sqrt6
A 30-60-90 triangle.
Divide by 100.
Its divisible by 2 and by 3.

29. What are the integers?
90pi
18
All numbers multiples of 1.
The two xes after factoring.

30. 5/6 in percent?
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.
83.333%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

31. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
5 OR -5
From northeast - counterclockwise. I - II - III - IV
28. n = 8 - k = 2. n! / k!(n-k)!
Yes - like radicals can be added/subtracted.

32. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
A grouping of the members within a set based on a shared characteristic.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The overlapping sections.

33. What are congruent triangles?
x(x - y + 1)
N! / (k!)(n-k)!
55%
Triangles with same measure and same side lengths.

34. What is the 'Solution' for a system of linear equations?
72
The point of intersection of the systems.
N! / (n-k)!
.0004809 X 10^11

35. What is the 'domain' of a function?
The set of input values for a function.
True
A reflection about the axis.
Angle/360 x 2(pi)r

36. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
True
53 - 59
4096
2^9 / 2 = 256

37. What are the smallest three prime numbers greater than 65?
I
67 - 71 - 73
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
An infinite set.

38. What is the slope of a vertical line?

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39. 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?
52
The sum of digits is divisible by 9.
A set with a number of elements which can be counted.
N! / (k!)(n-k)!

40. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
71 - 73 - 79
441000 = 1 10 10 10 21 * 21
20.5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

41. 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.
2sqrt6
12sqrt2
Diameter(Pi)

42. If an inequality is multiplied or divided by a negative number....
$3 -500 in the 9% and $2 -500 in the 7%.
III
y = 2x^2 - 3
The direction of the inequality is reversed.

43. What is the 'Range' of a function?
The set of output values for a function.
The steeper the slope.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Its negative reciprocal. (-b/a)

44. What is a minor arc?

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45. Which is greater? 200x^295 or 10x^294?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Yes - like radicals can be added/subtracted.
1/2 times 7/3
Relationship cannot be determined (what if x is negative?)

46. What is a central angle?
Two angles whose sum is 180.
A 30-60-90 triangle.
The shortest arc between points A and B on a circle'S diameter.
A central angle is an angle formed by 2 radii.

47. How many sides does a hexagon have?
6
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
An infinite set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

48. What number between 70 & 75 - inclusive - has the greatest number of factors?
x= (1.2)(.8)lw
1:sqrt3:2
72
I

49. Find the surface area of a cylinder with radius 3 and height 12.
13pi / 2
10! / (10-3)! = 720
...multiply by 100.
90pi

50. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Two angles whose sum is 90.
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)
1
7 / 1000