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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. 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?
N! / (n-k)!
441000 = 1 10 10 10 21 * 21
2
Indeterminable.

2. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x^(6-3) = x^3
70
The point of intersection of the systems.

3. Which quadrant is the lower left hand?
4a^2(b)
The third side is greater than the difference and less than the sum.
III
3 - -3

4. What is the absolute value function?
The sum of digits is divisible by 9.
1
G(x) = {x}
28. n = 8 - k = 2. n! / k!(n-k)!

5. What is a chord of a circle?
(amount of increase/original price) x 100%
A chord is a line segment joining two points on a circle.
The objects within a set.
10

6. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
A circle centered at -2 - -2 with radius 3.
$11 -448
III
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

7. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The two xes after factoring.
67 - 71 - 73
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
3

8. 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.
3
10
A chord is a line segment joining two points on a circle.
90 degrees

9. Which is greater? 64^5 or 16^8
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Its negative reciprocal. (-b/a)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The sum of its digits is divisible by 3.

10. 30< all primes<40
31 - 37
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The direction of the inequality is reversed.
7 / 1000

11. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
37.5%
$3 -500 in the 9% and $2 -500 in the 7%.
90pi
(n-2) x 180

12. x^2 = 9. What is the value of x?
An infinite set.
Undefined - because we can'T divide by 0.
10! / 3!(10-3)! = 120
3 - -3

13. In a regular polygon with n sides - the formula for the sum of interior angles
2(pi)r^2 + 2(pi)rh
Two angles whose sum is 90.
(n-2) x 180
1 & 37/132

14. Max and Min lengths for a side of a triangle?
70
The third side is greater than the difference and less than the sum.
Undefined - because we can'T divide by 0.
IV

15. 6w^2 - w - 15 = 0
37.5%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
All numbers multiples of 1.
3/2 - 5/3

16. What is a parabola?
1
Ax^2 + bx + c where a -b and c are constants and a /=0
Indeterminable.
The set of elements which can be found in either A or B.

17. Circumference of a circle?
No - the input value has exactly one output.
Diameter(Pi)
x(x - y + 1)
Ax^2 + bx + c where a -b and c are constants and a /=0

18. What is the slope of a horizontal line?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
II
0
III

19. 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.
1/(x^y)
(base*height) / 2
The set of input values for a function.

20. 5/8 in percent?
y = (x + 5)/2
48
4.25 - 6 - 22
62.5%

21. The objects in a set are called two names:
90
Members or elements
413.03 / 10^4 (move the decimal point 4 places to the left)
2

22. What are the real numbers?
500
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 - b)(a + b)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

23. sqrt 2(sqrt 6)=
55%
Part = Percent X Whole
3
Sqrt 12

24. (x^2)^4
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1.7
A tangent is a line that only touches one point on the circumference of a circle.
x^(2(4)) =x^8 = (x^4)^2

25. Surface area for a cylinder?
8
Undefined
A reflection about the origin.
2(pi)r^2 + 2(pi)rh

26. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1
Two equal sides and two equal angles.
12.5%

27. 5x^2 - 35x -55 = 0
F(x-c)
87.5%
A 30-60-90 triangle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

28. The ratio of the areas of two similar polygons is ...
IV
5
... the square of the ratios of the corresponding sides.
Indeterminable.

29. What is an isoceles triangle?
Its negative reciprocal. (-b/a)
16.6666%
Relationship cannot be determined (what if x is negative?)
Two equal sides and two equal angles.

30. 40 < all primes<50
Divide by 100.
No - the input value has exactly one output.
90
41 - 43 - 47

31. What is an exterior angle?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Two equal sides and two equal angles.
An angle which is supplementary to an interior angle.

32. Is 0 even or odd?
Even
Infinite.
The set of elements which can be found in either A or B.
70

33. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
The set of output values for a function.
Infinite.
A reflection about the origin.
2sqrt6

34. What is the surface area of a cylinder with radius 5 and height 8?
... the square of the ratios of the corresponding sides.
y = (x + 5)/2
(n-2) x 180
130pi

35. Which quadrant is the upper right hand?
16.6666%
0
6
I

36. What are the members or elements of a set?
The objects within a set.
61 - 67
When the function is not defined for all real numbers -; only a subset of the real numbers.
... the square of the ratios of the corresponding sides.

37. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Cd
8
0
70

38. What is a minor arc?

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39. 1/2 divided by 3/7 is the same as
3/2 - 5/3
1/2 times 7/3
2.592 kg
F(x + c)

40. What is the graph of f(x) shifted left c units or spaces?
52
6 : 1 : 2
5 OR -5
F(x + c)

41. What is the area of a regular hexagon with side 6?
x(x - y + 1)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
16.6666%
The greatest value minus the smallest.

42. What are the smallest three prime numbers greater than 65?
x^(6-3) = x^3
67 - 71 - 73
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Undefined

43. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
(a + b)^2
67 - 71 - 73
41 - 43 - 47

44. 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?
The direction of the inequality is reversed.
A circle centered on the origin with radius 8.
75:11
A chord is a line segment joining two points on a circle.

45. Formula to calculate arc length?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
70
Arc length = (n/360) x pi(2r) where n is the number of degrees.

46. Number of degrees in a triangle
The empty set - denoted by a circle with a diagonal through it.
A grouping of the members within a set based on a shared characteristic.
The curve opens downward and the vertex is the maximum point on the graph.
180

47. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
The sum of its digits is divisible by 3.
9 & 6/7
The third side is greater than the difference and less than the sum.
2

48. What is the name for a grouping of the members within a set based on a shared characteristic?
37.5%
6 : 1 : 2
A subset.
27^(-4)

49. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
441000 = 1 10 10 10 21 * 21
13pi / 2
31 - 37
41 - 43 - 47

50. What is the empty set?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
2sqrt6
A set with no members - denoted by a circle with a diagonal through it.
1.0843 X 10^11