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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. Formula to find a circle'S circumference from its diameter?
The set of elements found in both A and B.
1.0843 X 10^11
C = (pi)d
Its negative reciprocal. (-b/a)

2. Reduce: 4.8 : 0.8 : 1.6
Members or elements
6 : 1 : 2
x^(2(4)) =x^8 = (x^4)^2
Two angles whose sum is 90.

3. Which quadrant is the upper left hand?
Two angles whose sum is 90.
31 - 37
II
Pi is the ratio of a circle'S circumference to its diameter.

4. Which is greater? 200x^295 or 10x^294?
1
20.5
Relationship cannot be determined (what if x is negative?)
II

5. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
1
... the square of the ratios of the corresponding sides.
1/a^6

6. What is the formula for computing simple interest?
A = I (1 + rt)
1:sqrt3:2
48
2

7. 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)?
y = (x + 5)/2
The direction of the inequality is reversed.
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)
4.25 - 6 - 22

8. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
A reflection about the origin.
The interesection of A and B.
Undefined

9. 6w^2 - w - 15 = 0
180 degrees
A circle centered at -2 - -2 with radius 3.
No - the input value has exactly one output.
3/2 - 5/3

10. What is the 'union' of A and B?
The sum of its digits is divisible by 3.
Even
4a^2(b)
The set of elements which can be found in either A or B.

11. What are the members or elements of a set?
4096
The objects within a set.
Members or elements
4.25 - 6 - 22

12. Legs 5 - 12. Hypotenuse?
$3 -500 in the 9% and $2 -500 in the 7%.
288 (8 9 4)
13
48

13. To convert a decimal to a percent...
11 - 13 - 17 - 19
...multiply by 100.
16.6666%
The third side is greater than the difference and less than the sum.

14. 1/2 divided by 3/7 is the same as
(a - b)(a + b)
1/2 times 7/3
(base*height) / 2
2.592 kg

15. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
2.592 kg
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
90 degrees

16. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
8
10
The sum of digits is divisible by 9.
1

17. If an inequality is multiplied or divided by a negative number....
A reflection about the origin.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The direction of the inequality is reversed.
11 - 13 - 17 - 19

18. (x^2)^4
Members or elements
N! / (n-k)!
x^(4+7) = x^11
x^(2(4)) =x^8 = (x^4)^2

19. What is a chord of a circle?
(a - b)^2
An isosceles right triangle.
A chord is a line segment joining two points on a circle.
(amount of decrease/original price) x 100%

20. What is the graph of f(x) shifted upward c units or spaces?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Its last two digits are divisible by 4.
Angle/360 x (pi)r^2
F(x) + c

21. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
4725
A reflection about the origin.
1.7
A set with a number of elements which can be counted.

22. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
Sector area = (n/360) X (pi)r^2
70
The interesection of A and B.

23. What is the slope of a vertical line?

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24. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
A chord is a line segment joining two points on a circle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
N! / (k!)(n-k)!

25. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
1/a^6
An infinite set.
2 & 3/7

26. Which quandrant is the lower right hand?
IV
Pi is the ratio of a circle'S circumference to its diameter.
Yes - like radicals can be added/subtracted.
2^9 / 2 = 256

27. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Undefined
All numbers multiples of 1.
Two equal sides and two equal angles.

28. Volume for a cylinder?
Area of the base X height = (pi)hr^2
The overlapping sections.
2^9 / 2 = 256
11 - 13 - 17 - 19

29. 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
18
An angle which is supplementary to an interior angle.
67 - 71 - 73
1

30. What is the graph of f(x) shifted downward c units or spaces?
90
F(x) - c
y = 2x^2 - 3
The set of output values for a function.

31. What are the smallest three prime numbers greater than 65?
18
67 - 71 - 73
31 - 37
10

32. The ratio of the areas of two similar polygons is ...
27^(-4)
... the square of the ratios of the corresponding sides.
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
3 - -3

33. 30< all primes<40
31 - 37
C = (pi)d
90pi
Two equal sides and two equal angles.

34. (-1)^3 =
The set of output values for a function.
23 - 29
An angle which is supplementary to an interior angle.
1

35. 60 < all primes <70
The second graph is less steep.
(p + q)/5
The overlapping sections.
61 - 67

36. Solve the quadratic equation ax^2 + bx + c= 0
An angle which is supplementary to an interior angle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
8
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

37. a^2 - b^2 =
Indeterminable.
(a - b)(a + b)
The set of input values for a function.
F(x-c)

38. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
A central angle is an angle formed by 2 radii.
41 - 43 - 47
12! / 5!7! = 792
2sqrt6

39. 50 < all primes< 60
53 - 59
3sqrt4
Two equal sides and two equal angles.
II

40. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
90 degrees
(a + b)^2
9 & 6/7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

41. Whats the difference between factors and multiples?
4725
From northeast - counterclockwise. I - II - III - IV
2 & 3/7
Factors are few - multiples are many.

42. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
1
4.25 - 6 - 22
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
10! / 3!(10-3)! = 120

43. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The interesection of A and B.
72
13pi / 2
Pi is the ratio of a circle'S circumference to its diameter.

44. What is a central angle?
1:sqrt3:2
A central angle is an angle formed by 2 radii.
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.
500

45. Evaluate (4^3)^2
Even
(a + b)^2
4096
A circle centered at -2 - -2 with radius 3.

46. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
62.5%
Its negative reciprocal. (-b/a)
A reflection about the axis.
2sqrt6

47. What percent of 40 is 22?
87.5%
The direction of the inequality is reversed.
3
55%

48. Is 0 even or odd?
A 30-60-90 triangle.
Even
0
Triangles with same measure and same side lengths.

49. Formula for the area of a circle?
37.5%
18
A = pi(r^2)
A chord is a line segment joining two points on a circle.

50. Number of degrees in a triangle
288 (8 9 4)
The set of input values for a function.
28. n = 8 - k = 2. n! / k!(n-k)!
180