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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 the order of operations?
A reflection about the axis.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2
The set of elements found in both A and B.

2. What is the sum of the angles of a triangle?
180 degrees
Ax^2 + bx + c where a -b and c are constants and a /=0
1:1:sqrt2
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

3. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Two equal sides and two equal angles.
III
12! / 5!7! = 792
A set with no members - denoted by a circle with a diagonal through it.

4. 6w^2 - w - 15 = 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Its last two digits are divisible by 4.
3/2 - 5/3
130pi

5. 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?
The curve opens upward and the vertex is the minimal point on the graph.
1
Yes - like radicals can be added/subtracted.
10! / 3!(10-3)! = 120

6. What is the percent formula?
An infinite set.
9 : 25
Part = Percent X Whole
Two angles whose sum is 90.

7. What is a set with no members called?
0
180
3
The empty set - denoted by a circle with a diagonal through it.

8. x^2 = 9. What is the value of x?
C = (pi)d
3 - -3
True
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)

9. What are congruent triangles?
Triangles with same measure and same side lengths.
(a - b)^2
The interesection of A and B.
3

10. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
C = 2(pi)r
0
x= (1.2)(.8)lw
2 & 3/7

11. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
71 - 73 - 79
(a + b)^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

12. What are the integers?
All numbers multiples of 1.
9 & 6/7
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)
413.03 / 10^4 (move the decimal point 4 places to the left)

13. How to find the diagonal of a rectangular solid?
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.
180
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
x(x - y + 1)

14. A number is divisible by 6 if...
5
Its divisible by 2 and by 3.
The set of elements found in both A and B.
The overlapping sections.

15. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
5

16. What is the 'union' of A and B?
1
The set of elements which can be found in either A or B.
The overlapping sections.
The shortest arc between points A and B on a circle'S diameter.

17. Formula to find a circle'S circumference from its diameter?
413.03 / 10^4 (move the decimal point 4 places to the left)
C = (pi)d
y = 2x^2 - 3
3

18. What is a major arc?

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19. Which quadrant is the upper right hand?
Pi is the ratio of a circle'S circumference to its diameter.
The empty set - denoted by a circle with a diagonal through it.
I
70

20. 60 < all primes <70
23 - 29
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)
3
61 - 67

21. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(a - b)(a + b)
A subset.
23 - 29

22. What is the name of set with a number of elements which cannot be counted?
31 - 37
A tangent is a line that only touches one point on the circumference of a circle.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An infinite set.

23. The larger the absolute value of the slope...
The steeper the slope.
The set of elements found in both A and B.
1/a^6
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

24. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
180 degrees
2sqrt6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1

25. Can you subtract 3sqrt4 from sqrt4?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
III
Yes - like radicals can be added/subtracted.
The sum of digits is divisible by 9.

26. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
Move the decimal point to the right x places
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x= (1.2)(.8)lw

27. What does scientific notation mean?
(p + q)/5
The set of input values for a function.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The sum of its digits is divisible by 3.

28. Define an 'expression'.
When the function is not defined for all real numbers -; only a subset of the real numbers.
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)
G(x) = {x}
Pi is the ratio of a circle'S circumference to its diameter.

29. Surface area for a cylinder?
A = I (1 + rt)
2(pi)r^2 + 2(pi)rh
No - the input value has exactly one output.
2.592 kg

30. a^2 - 2ab + b^2
(a - b)^2
Lies opposite the greater angle
All numbers multiples of 1.
2sqrt6

31. What are the irrational numbers?

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32. What is the 'Range' of a function?
2(pi)r^2 + 2(pi)rh
The set of output values for a function.
Move the decimal point to the right x places
The two xes after factoring.

33. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
441000 = 1 10 10 10 21 * 21
61 - 67
413.03 / 10^4 (move the decimal point 4 places to the left)

34. 25^(1/2) or sqrt. 25 =
5 OR -5
No - the input value has exactly one output.
7 / 1000
A reflection about the axis.

35. Which quadrant is the lower left hand?
1
III
The set of elements which can be found in either A or B.
Yes. [i.e. f(x) = x^2 - 1

36. Which quadrant is the upper left hand?
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)
Diameter(Pi)
II
A reflection about the origin.

37. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The objects within a set.
70
The two xes after factoring.
Undefined - because we can'T divide by 0.

38. (6sqrt3) x (2sqrt5) =
Infinite.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A subset.
16.6666%

39. When the 'a' in a parabola is positive....
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)
The third side is greater than the difference and less than the sum.
Members or elements
The curve opens upward and the vertex is the minimal point on the graph.

40. Factor x^2 - xy + x.
x(x - y + 1)
From northeast - counterclockwise. I - II - III - IV
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
31 - 37

41. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Triangles with same measure and same side lengths.
12.5%
The set of elements which can be found in either A or B.

42. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
(amount of increase/original price) x 100%
2sqrt6
The sum of digits is divisible by 9.

43. What are 'Supplementary angles?'
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
When the function is not defined for all real numbers -; only a subset of the real numbers.
Two angles whose sum is 180.
A circle centered at -2 - -2 with radius 3.

44. 10^6 has how many zeroes?
Lies opposite the greater angle
The union of A and B.
10
6

45. 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?
(a + b)^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)
500
52

46. Length of an arc of a circle?
Angle/360 x 2(pi)r
12.5%
12sqrt2
10! / 3!(10-3)! = 120

47. What are the real numbers?
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)
Sector area = (n/360) X (pi)r^2
0
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

48. Area of a triangle?
True
(base*height) / 2
1.0843 X 10^11
1

49. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
6 : 1 : 2
y = 2x^2 - 3
N! / (n-k)!
The point of intersection of the systems.

50. What is a chord of a circle?
A circle centered on the origin with radius 8.
Yes. [i.e. f(x) = x^2 - 1
1 & 37/132
A chord is a line segment joining two points on a circle.