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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 a set with no members called?
10
The sum of digits is divisible by 9.
The empty set - denoted by a circle with a diagonal through it.
18

2. 7/8 in percent?
Infinite.
87.5%
The second graph is less steep.
The curve opens upward and the vertex is the minimal point on the graph.

3. What is a finite set?
1:sqrt3:2
An angle which is supplementary to an interior angle.
4a^2(b)
A set with a number of elements which can be counted.

4. What is the slope of a horizontal line?
6
All numbers multiples of 1.
72
0

5. Max and Min lengths for a side of a triangle?
61 - 67
The third side is greater than the difference and less than the sum.
Even
5

6. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
x^(2(4)) =x^8 = (x^4)^2
Cd
1/a^6
The greatest value minus the smallest.

7. Is 0 even or odd?
Divide by 100.
23 - 29
61 - 67
Even

8. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
10! / (10-3)! = 720
83.333%
10! / 3!(10-3)! = 120

9. 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
Members or elements
2
(a + b)^2

10. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
61 - 67
52
90 degrees
13pi / 2

11. Formula for the area of a circle?
The shortest arc between points A and B on a circle'S diameter.
Undefined
A = pi(r^2)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

12. Formula to find a circle'S circumference from its diameter?
13
C = (pi)d
Members or elements
A 30-60-90 triangle.

13. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
(amount of increase/original price) x 100%
(a - b)(a + b)
.0004809 X 10^11
52

14. What are the roots of the quadrinomial x^2 + 2x + 1?
Yes. [i.e. f(x) = x^2 - 1
Pi is the ratio of a circle'S circumference to its diameter.
180
The two xes after factoring.

15. What is the name of set with a number of elements which cannot be counted?
61 - 67
An infinite set.
3 - -3
20.5

16. The objects in a set are called two names:
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)
Divide by 100.
Members or elements
Move the decimal point to the right x places

17. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
1 & 37/132
(amount of increase/original price) x 100%
3/2 - 5/3

18. The larger the absolute value of the slope...
Infinite.
When the function is not defined for all real numbers -; only a subset of the real numbers.
55%
The steeper the slope.

19. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An arc is a portion of a circumference of a circle.
An isosceles right triangle.
10
A reflection about the axis.

20. Formula of rectangle where l increases by 20% and w decreases by 20%
x^(6-3) = x^3
x= (1.2)(.8)lw
(amount of decrease/original price) x 100%
2 & 3/7

21. What is the ratio of the sides of an isosceles right 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)
4a^2(b)
1:1:sqrt2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

22. 1/2 divided by 3/7 is the same as
3
Ax^2 + bx + c where a -b and c are constants and a /=0
1/2 times 7/3
13

23. Define a 'Term' -
(amount of decrease/original price) x 100%
The overlapping sections.
The curve opens upward and the vertex is the minimal point on the graph.
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)

24. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
53 - 59
0
A set with a number of elements which can be counted.
4:5

25. Formula to find a circle'S circumference from its radius?
0
C = 2(pi)r
No - only like radicals can be added.
From northeast - counterclockwise. I - II - III - IV

26. Evaluate 3& 2/7 / 1/3
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
F(x-c)
9 & 6/7
.0004809 X 10^11

27. Define an 'expression'.
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)
The third side is greater than the difference and less than the sum.
2 & 3/7
The greatest value minus the smallest.

28. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
87.5%
2
The third side is greater than the difference and less than the sum.
An angle which is supplementary to an interior angle.

29. What is the 'domain' of a function?
The set of input values for a function.
IV
The curve opens downward and the vertex is the maximum point on the graph.
A central angle is an angle formed by 2 radii.

30. Legs 5 - 12. Hypotenuse?
(p + q)/5
13
Its last two digits are divisible by 4.
1

31. Factor a^2 + 2ab + b^2
A = pi(r^2)
Members or elements
(a + b)^2
28. n = 8 - k = 2. n! / k!(n-k)!

32. What is the graph of f(x) shifted right c units or spaces?
N! / (k!)(n-k)!
No - the input value has exactly one output.
...multiply by 100.
F(x-c)

33. 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)
The curve opens downward and the vertex is the maximum point on the graph.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4.25 - 6 - 22
x^(4+7) = x^11

34. Whats the difference between factors and multiples?
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)
7 / 1000
Factors are few - multiples are many.
All numbers multiples of 1.

35. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
F(x-c)
1 & 37/132
A reflection about the origin.

36. How to find the area of a sector?
3
Angle/360 x (pi)r^2
Sector area = (n/360) X (pi)r^2
12! / 5!7! = 792

37. What is the ratio of the sides of a 30-60-90 triangle?
10
$3 -500 in the 9% and $2 -500 in the 7%.
1
1:sqrt3:2

38. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
No - only like radicals can be added.
13
Undefined - because we can'T divide by 0.
N! / (k!)(n-k)!

39. How to determine percent increase?
41 - 43 - 47
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(amount of increase/original price) x 100%
12.5%

40. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Its last two digits are divisible by 4.
Sector area = (n/360) X (pi)r^2
$3 -500 in the 9% and $2 -500 in the 7%.
70

41. What is the absolute value function?
90pi
G(x) = {x}
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
130pi

42. A number is divisible by 4 is...
2^9 / 2 = 256
6
Its last two digits are divisible by 4.
Diameter(Pi)

43. What is the 'Solution' for a set of inequalities.
2.592 kg
The overlapping sections.
61 - 67
72

44. To convert a decimal to a percent...
The direction of the inequality is reversed.
4.25 - 6 - 22
...multiply by 100.
(amount of increase/original price) x 100%

45. What are the real numbers?
y = (x + 5)/2
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)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Lies opposite the greater angle

46. What are the irrational numbers?

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47. Which is greater? 27^(-4) or 9^(-8)
2^9 / 2 = 256
II
27^(-4)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

48. Simplify (a^2 + b)^2 - (a^2 - b)^2
Diameter(Pi)
2(pi)r^2 + 2(pi)rh
Infinite.
4a^2(b)

49. 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?
75:11
Factors are few - multiples are many.
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)
G(x) = {x}

50. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
1/2 times 7/3
x^(4+7) = x^11
(a - b)^2