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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 is the set of elements which can be found in either A or B?
The union of A and B.
All numbers multiples of 1.
x^(6-3) = x^3
1

2. Which quadrant is the lower left hand?
III
Cd
90pi
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

3. How many sides does a hexagon have?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
6
The overlapping sections.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

4. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The set of output values for a function.
Two equal sides and two equal angles.
62.5%
70

5. What is the ratio of the sides of a 30-60-90 triangle?
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)
1:sqrt3:2
37.5%
A grouping of the members within a set based on a shared characteristic.

6. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
4:5
A grouping of the members within a set based on a shared characteristic.
(a + b)^2

7. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
62.5%
A reflection about the axis.
10! / 3!(10-3)! = 120
Even

8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
3
8
0
20.5

9. What are complementary angles?
(amount of decrease/original price) x 100%
Cd
A subset.
Two angles whose sum is 90.

10. What is the maximum value for the function g(x) = (-2x^2) -1?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A tangent is a line that only touches one point on the circumference of a circle.
1
90

11. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
A set with a number of elements which can be counted.
Sqrt 12
90
1/(x^y)

12. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
1/a^6
18
.0004809 X 10^11
23 - 29

13. Which is greater? 200x^295 or 10x^294?
(a + b)^2
Relationship cannot be determined (what if x is negative?)
The overlapping sections.
(b + c)

14. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Angle/360 x 2(pi)r
2sqrt6
87.5%
True

15. Volume for a cylinder?
Area of the base X height = (pi)hr^2
1
A circle centered on the origin with radius 8.
5 OR -5

16. What is the 'Range' of a function?
The set of output values for a function.
Angle/360 x 2(pi)r
II
13pi / 2

17. What is an exterior angle?
Undefined
180
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An angle which is supplementary to an interior angle.

18. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
x^(6-3) = x^3
The set of elements which can be found in either A or B.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

19. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
N! / (n-k)!
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
I
Sqrt 12

20. 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?
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21
(amount of decrease/original price) x 100%
Even

21. P and r are factors of 100. What is greater - pr or 100?
9 & 6/7
Indeterminable.
4:5
53 - 59

22. What is a minor arc?

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23. Factor a^2 + 2ab + b^2
Two angles whose sum is 90.
(a + b)^2
F(x-c)
(n-2) x 180

24. 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?
13pi / 2
Factors are few - multiples are many.
N! / (n-k)!
2^9 / 2 = 256

25. When does a function automatically have a restricted domain (2)?
The set of output values for a function.
130pi
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
87.5%

26. 8.84 / 5.2
(a + b)^2
13pi / 2
1.7
Sector area = (n/360) X (pi)r^2

27. 60 < all primes <70
Two angles whose sum is 90.
4a^2(b)
61 - 67
IV

28. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The sum of digits is divisible by 9.
(a + b)^2
Members or elements
2^9 / 2 = 256

29. Circumference of a circle?
Diameter(Pi)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Its divisible by 2 and by 3.

30. Which is greater? 27^(-4) or 9^(-8)
(a + b)^2
27^(-4)
1/(x^y)
90 degrees

31. 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.
From northeast - counterclockwise. I - II - III - IV
A set with no members - denoted by a circle with a diagonal through it.
Sector area = (n/360) X (pi)r^2

32. What is a chord of a circle?
4a^2(b)
F(x + c)
x^(2(4)) =x^8 = (x^4)^2
A chord is a line segment joining two points on a circle.

33. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A = I (1 + rt)
The two xes after factoring.
The third side is greater than the difference and less than the sum.
2 & 3/7

34. 70 < all primes< 80
27^(-4)
A = I (1 + rt)
71 - 73 - 79
1 & 37/132

35. How to determine percent decrease?
The interesection of A and B.
A = I (1 + rt)
Lies opposite the greater angle
(amount of decrease/original price) x 100%

36. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
The union of A and B.
48
A circle centered on the origin with radius 8.
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)

37. Which quandrant is the lower right hand?
8
IV
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3sqrt4

38. Evaluate 4/11 + 11/12
1:1:sqrt2
Undefined
1 & 37/132
2

39. The perimeter of a square is 48 inches. The length of its diagonal is:
0
0
12sqrt2
2sqrt6

40. What are the members or elements of a set?
0
From northeast - counterclockwise. I - II - III - IV
The objects within a set.
A chord is a line segment joining two points on a circle.

41. How many multiples does a given number have?
Angle/360 x (pi)r^2
48
130pi
Infinite.

42. What is the graph of f(x) shifted downward c units or spaces?
55%
F(x) - c
True
A central angle is an angle formed by 2 radii.

43. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
A set with no members - denoted by a circle with a diagonal through it.
130pi
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

44. Legs 5 - 12. Hypotenuse?
Undefined
2.592 kg
13
1

45. Area of a triangle?
(base*height) / 2
Divide by 100.
Triangles with same measure and same side lengths.
I

46. How to find the area of a sector?
Angle/360 x (pi)r^2
The sum of digits is divisible by 9.
...multiply by 100.
7 / 1000

47. What is the side length of an equilateral triangle with altitude 6?
2 & 3/7
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)
A tangent is a line that only touches one point on the circumference of a circle.
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...

48. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
413.03 / 10^4 (move the decimal point 4 places to the left)
1/(x^y)
3 - -3
500

49. Whats the difference between factors and multiples?
Factors are few - multiples are many.
72
The sum of digits is divisible by 9.
A = pi(r^2)

50. 25^(1/2) or sqrt. 25 =
The empty set - denoted by a circle with a diagonal through it.
$11 -448
5 OR -5
23 - 29