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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. Define a 'monomial'
(amount of increase/original price) x 100%
An expression with just one term (-6x - 2a^2)
9 & 6/7
The curve opens downward and the vertex is the maximum point on the graph.

2. x^2 = 9. What is the value of x?
3 - -3
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.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
8

3. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Indeterminable.
3

4. What is the intersection of A and B?
The set of elements found in both A and B.
The set of output values for a function.
3 - -3
5 OR -5

5. (x^2)^4
28. n = 8 - k = 2. n! / k!(n-k)!
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
75:11
x^(2(4)) =x^8 = (x^4)^2

6. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(amount of decrease/original price) x 100%
71 - 73 - 79
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

7. What is the sum of the angles of a triangle?
0
180 degrees
20.5
Even

8. 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?
500
72
x(x - y + 1)
62.5%

9. What are the irrational numbers?

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10. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
(a + b)^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
y = (x + 5)/2
0

11. a^2 - b^2
(a - b)(a + b)
A reflection about the origin.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
IV

12. a^0 =
12.5%
3sqrt4
x^(4+7) = x^11
1

13. What is an exterior angle?
F(x-c)
An angle which is supplementary to an interior angle.
N! / (n-k)!
1

14. 3/8 in percent?
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
37.5%
The curve opens downward and the vertex is the maximum point on the graph.
Even

15. What is the 'domain' of a function?
F(x) + c
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of input values for a function.
3

16. A number is divisible by 6 if...
The direction of the inequality is reversed.
The objects within a set.
The overlapping sections.
Its divisible by 2 and by 3.

17. Which quadrant is the upper left hand?
II
The set of elements found in both A and B.
Lies opposite the greater angle
1:sqrt3:2

18. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
No - the input value has exactly one output.
5
1
3

19. 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
Its divisible by 2 and by 3.
1 & 37/132
37.5%

20. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
4:5
Cd
9 & 6/7

21. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
7 / 1000
180 degrees
413.03 / 10^4 (move the decimal point 4 places to the left)

22. The slope of a line perpendicular to (a/b)?
The set of elements which can be found in either A or B.
(amount of decrease/original price) x 100%
A reflection about the origin.
Its negative reciprocal. (-b/a)

23. What are the members or elements of a set?
Members or elements
The objects within a set.
y = (x + 5)/2
(amount of increase/original price) x 100%

24. Order of quadrants:
A = I (1 + rt)
From northeast - counterclockwise. I - II - III - IV
The curve opens upward and the vertex is the minimal point on the graph.
An arc is a portion of a circumference of a circle.

25. What is a chord of a circle?
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 chord is a line segment joining two points on a circle.
Part = Percent X Whole
An isosceles right triangle.

26. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
From northeast - counterclockwise. I - II - III - IV
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The longest arc between points A and B on a circle'S diameter.
True

27. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A set with a number of elements which can be counted.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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)

28. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
The union of A and B.
Members or elements
0
An isosceles right triangle.

29. What is the ratio of the sides of a 30-60-90 triangle?
An expression with just one term (-6x - 2a^2)
C = 2(pi)r
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1:sqrt3:2

30. 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.
90 degrees
The set of output values for a function.
(amount of decrease/original price) x 100%
0

31. 30< all primes<40
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
20.5
An arc is a portion of a circumference of a circle.
31 - 37

32. Formula for the area of a circle?
The empty set - denoted by a circle with a diagonal through it.
A = pi(r^2)
1
The second graph is less steep.

33. 70 < all primes< 80
Even
71 - 73 - 79
...multiply by 100.
(a + b)^2

34. 8.84 / 5.2
4725
The interesection of A and B.
The sum of digits is divisible by 9.
1.7

35. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Its divisible by 2 and by 3.
A set with a number of elements which can be counted.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

36. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The set of elements found in both A and B.
130pi
(amount of increase/original price) x 100%
13pi / 2

37. 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?
5 OR -5
4.25 - 6 - 22
5
441000 = 1 10 10 10 21 * 21

38. a^2 - 2ab + b^2
y = 2x^2 - 3
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
(a - b)^2
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

39. What is a set with no members called?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
12sqrt2
180
The empty set - denoted by a circle with a diagonal through it.

40. What is the set of elements which can be found in either A or B?
An arc is a portion of a circumference of a circle.
180 degrees
The union of A and B.
... the square of the ratios of the corresponding sides.

41. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
Undefined
F(x + c)
A circle centered at -2 - -2 with radius 3.
The point of intersection of the systems.

42. What are the rational numbers?
A reflection about the axis.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Even

43. The ratio of the areas of two similar polygons is ...
12sqrt2
5
27^(-4)
... the square of the ratios of the corresponding sides.

44. What is the 'Range' of a function?
... the square of the ratios of the corresponding sides.
The set of output values for a function.
y = 2x^2 - 3
7 / 1000

45. 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?
1 & 37/132
N! / (n-k)!
Move the decimal point to the right x places
Triangles with same measure and same side lengths.

46. x^(-y)=
A chord is a line segment joining two points on a circle.
Undefined - because we can'T divide by 0.
The longest arc between points A and B on a circle'S diameter.
1/(x^y)

47. The objects in a set are called two names:
18
The interesection of A and B.
2 & 3/7
Members or elements

48. Legs 6 - 8. Hypotenuse?
F(x-c)
75:11
$3 -500 in the 9% and $2 -500 in the 7%.
10

49. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
3/2 - 5/3
500
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
28. n = 8 - k = 2. n! / k!(n-k)!

50. Number of degrees in a triangle
Move the decimal point to the right x places
A circle centered on the origin with radius 8.
1
180