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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. Volume for a cylinder?
0
Area of the base X height = (pi)hr^2
500
Arc length = (n/360) x pi(2r) where n is the number of degrees.

2. (x^2)^4
6
1:1:sqrt2
x^(2(4)) =x^8 = (x^4)^2
31 - 37

3. What is a parabola?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Ax^2 + bx + c where a -b and c are constants and a /=0
F(x + c)
1/a^6

4. Which quadrant is the upper right hand?
$3 -500 in the 9% and $2 -500 in the 7%.
I
Divide by 100.
53 - 59

5. What is the 'Solution' for a set of inequalities.
72
0
The overlapping sections.
$11 -448

6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
4a^2(b)
Yes - like radicals can be added/subtracted.

7. a^2 - b^2 =
Yes - like radicals can be added/subtracted.
(a - b)(a + b)
An arc is a portion of a circumference of a circle.
IV

8. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(a - b)(a + b)
0
Members or elements

9. What is the area of a regular hexagon with side 6?
3 - -3
A grouping of the members within a set based on a shared characteristic.
Move the decimal point to the right x places
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

10. Describe the relationship between the graphs of x^2 and (1/2)x^2
No - only like radicals can be added.
(a + b)^2
37.5%
The second graph is less steep.

11. Evaluate 4/11 + 11/12
87.5%
No - the input value has exactly one output.
1 & 37/132
18

12. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
41 - 43 - 47
2.592 kg
A 30-60-90 triangle.
A = I (1 + rt)

13. What is the set of elements which can be found in either A or B?
A circle centered at -2 - -2 with radius 3.
3
The union of A and B.
2^9 / 2 = 256

14. What is the formula for compounded interest?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Its negative reciprocal. (-b/a)
The set of input values for a function.
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.

15. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
A = I (1 + rt)
6 : 1 : 2
87.5%

16. 0^0
Undefined
y = (x + 5)/2
Angle/360 x 2(pi)r
67 - 71 - 73

17. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
16.6666%
All numbers multiples of 1.
11 - 13 - 17 - 19

18. 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))?
20.5
13
F(x) + c
2.592 kg

19. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
...multiply by 100.
1.7
(amount of increase/original price) x 100%

20. 60 < all primes <70
(n-2) x 180
61 - 67
True
48

21. 1/6 in percent?
16.6666%
(amount of decrease/original price) x 100%
Pi is the ratio of a circle'S circumference to its diameter.
9 & 6/7

22. What is a set with no members called?
55%
The empty set - denoted by a circle with a diagonal through it.
Infinite.
(p + q)/5

23. Formula for the area of a circle?
No - the input value has exactly one output.
5 OR -5
Lies opposite the greater angle
A = pi(r^2)

24. 25^(1/2) or sqrt. 25 =
C = 2(pi)r
5 OR -5
0
The set of elements found in both A and B.

25. The objects in a set are called two names:
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The set of input values for a function.
Members or elements
70

26. Which quadrant is the lower left hand?
III
72
1:sqrt3:2
$11 -448

27. Formula for the area of a sector of a circle?
An isosceles right triangle.
1
Sector area = (n/360) X (pi)r^2
(a + b)^2

28. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a - b)(a + b)
72
An infinite set.

29. How many sides does a hexagon have?
6
A tangent is a line that only touches one point on the circumference of a circle.
72
Relationship cannot be determined (what if x is negative?)

30. What are the irrational numbers?

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31. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
9 & 6/7
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
A grouping of the members within a set based on a shared characteristic.
F(x-c)

32. 10<all primes<20
Pi is the ratio of a circle'S circumference to its diameter.
11 - 13 - 17 - 19
3 - -3
1.7

33. What is the measure of an exterior angle of a regular pentagon?
True
180 degrees
72
x= (1.2)(.8)lw

34. How to determine percent decrease?
The longest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%
An arc is a portion of a circumference of a circle.
Two angles whose sum is 180.

35. 50 < all primes< 60
53 - 59
3/2 - 5/3
A tangent is a line that only touches one point on the circumference of a circle.
180

36. Can the input value of a function have more than one output value (i.e. x: y - y1)?
F(x-c)
No - the input value has exactly one output.
3sqrt4
Ax^2 + bx + c where a -b and c are constants and a /=0

37. (-1)^3 =
All numbers multiples of 1.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A circle centered at -2 - -2 with radius 3.
1

38. Which is greater? 27^(-4) or 9^(-8)
75:11
IV
20.5
27^(-4)

39. 5/6 in percent?
87.5%
83.333%
F(x-c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

40. How many 3-digit positive integers are even and do not contain the digit 4?
A circle centered at -2 - -2 with radius 3.
Relationship cannot be determined (what if x is negative?)
The point of intersection of the systems.
288 (8 9 4)

41. 10^6 has how many zeroes?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
6
.0004809 X 10^11
11 - 13 - 17 - 19

42. 1/2 divided by 3/7 is the same as
Divide by 100.
Yes - like radicals can be added/subtracted.
Undefined
1/2 times 7/3

43. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
The interesection of A and B.
The union of A and B.
2sqrt6

44. Formula to find a circle'S circumference from its diameter?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
C = (pi)d
1.0843 X 10^11
A reflection about the axis.

45. Which quadrant is the upper left hand?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The steeper the slope.
II
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

46. What is a subset?
Cd
A grouping of the members within a set based on a shared characteristic.
G(x) = {x}
No - only like radicals can be added.

47. 7/8 in percent?
72
87.5%
53 - 59
12.5%

48. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
A circle centered on the origin with radius 8.
A tangent is a line that only touches one point on the circumference of a circle.
The shortest arc between points A and B on a circle'S diameter.

49. A number is divisible by 6 if...
1
No - only like radicals can be added.
Its divisible by 2 and by 3.
90pi

50. What are complementary angles?
3
41 - 43 - 47
II
Two angles whose sum is 90.