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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 for the area of a circle?
C = (pi)d
500
A = pi(r^2)
61 - 67

2. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
A chord is a line segment joining two points on a circle.
1 & 37/132
(a + b)^2

3. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
From northeast - counterclockwise. I - II - III - IV
3sqrt4
True

4. Convert 0.7% to a fraction.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
No - the input value has exactly one output.
7 / 1000
An arc is a portion of a circumference of a circle.

5. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
2(pi)r^2 + 2(pi)rh
C = (pi)d
A circle centered at -2 - -2 with radius 3.
III

6. 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?
$11 -448
The sum of digits is divisible by 9.
83.333%
75:11

7. What is the absolute value function?
72
Two angles whose sum is 180.
Pi is the ratio of a circle'S circumference to its diameter.
G(x) = {x}

8. What is an arc of a circle?
70
3
An arc is a portion of a circumference of a circle.
10! / (10-3)! = 720

9. How to determine percent decrease?
From northeast - counterclockwise. I - II - III - IV
(amount of decrease/original price) x 100%
N! / (k!)(n-k)!
(a - b)^2

10. 6w^2 - w - 15 = 0
3/2 - 5/3
4.25 - 6 - 22
2 & 3/7
31 - 37

11. What is the area of a regular hexagon with side 6?
1:sqrt3:2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
23 - 29
12.5%

12. A number is divisible by 9 if...
The sum of digits is divisible by 9.
4096
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)
90pi

13. What percent of 40 is 22?
0
55%
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
71 - 73 - 79

14. Order of quadrants:
13
From northeast - counterclockwise. I - II - III - IV
Yes. [i.e. f(x) = x^2 - 1
The curve opens upward and the vertex is the minimal point on the graph.

15. What is the maximum value for the function g(x) = (-2x^2) -1?
180 degrees
The sum of its digits is divisible by 3.
1
12.5%

16. A number is divisible by 6 if...
Its divisible by 2 and by 3.
83.333%
The empty set - denoted by a circle with a diagonal through it.
Cd

17. A number is divisible by 4 is...
288 (8 9 4)
An isosceles right triangle.
Its last two digits are divisible by 4.
N! / (k!)(n-k)!

18. Formula for the area of a sector of a circle?
62.5%
The sum of its digits is divisible by 3.
Sector area = (n/360) X (pi)r^2
71 - 73 - 79

19. Define a 'Term' -
The sum of its digits is divisible by 3.
A set with no members - denoted by a circle with a diagonal through it.
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)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

20. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
F(x-c)
62.5%
1

21. 10<all primes<20
(n-2) x 180
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
11 - 13 - 17 - 19
A reflection about the origin.

22. 30< all primes<40
The sum of digits is divisible by 9.
31 - 37
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Undefined - because we can'T divide by 0.

23. How many 3-digit positive integers are even and do not contain the digit 4?
A reflection about the origin.
288 (8 9 4)
Two equal sides and two equal angles.
x^(4+7) = x^11

24. Describe the relationship between the graphs of x^2 and (1/2)x^2
Sqrt 12
The second graph is less steep.
Triangles with same measure and same side lengths.
Infinite.

25. Pi is a ratio of what to what?

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26. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Sector area = (n/360) X (pi)r^2
2sqrt6
70
Yes. [i.e. f(x) = x^2 - 1

27. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
II
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
28. n = 8 - k = 2. n! / k!(n-k)!
Two angles whose sum is 90.

28. x^(-y)=
x(x - y + 1)
Part = Percent X Whole
1/(x^y)
The steeper the slope.

29. How to find the area of a sector?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Infinite.
Angle/360 x (pi)r^2

30. What are the integers?
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
All numbers multiples of 1.
C = (pi)d
1:1:sqrt2

31. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
C = 2(pi)r
A reflection about the axis.
N! / (n-k)!
12! / 5!7! = 792

32. If the two sides of a triangle are unequal then the longer side...
413.03 / 10^4 (move the decimal point 4 places to the left)
Lies opposite the greater angle
A grouping of the members within a set based on a shared characteristic.
The empty set - denoted by a circle with a diagonal through it.

33. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
180 degrees
(a - b)(a + b)
1
Factors are few - multiples are many.

34. 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.
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
A = pi(r^2)
2

35. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
A reflection about the axis.
53 - 59
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

36. sqrt 2(sqrt 6)=
Two angles whose sum is 180.
C = (pi)d
Sqrt 12
From northeast - counterclockwise. I - II - III - IV

37. Simplify (a^2 + b)^2 - (a^2 - b)^2
x= (1.2)(.8)lw
... the square of the ratios of the corresponding sides.
All numbers multiples of 1.
4a^2(b)

38. Define an 'expression'.
0
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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)

39. 50 < all primes< 60
53 - 59
70
3sqrt4
72

40. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
70
Lies opposite the greater angle
83.333%
$11 -448

41. (a^-1)/a^5
1/a^6
$11 -448
The longest arc between points A and B on a circle'S diameter.
Yes - like radicals can be added/subtracted.

42. What is the empty set?
90 degrees
A set with no members - denoted by a circle with a diagonal through it.
11 - 13 - 17 - 19
The third side is greater than the difference and less than the sum.

43. (x^2)^4
53 - 59
x^(2(4)) =x^8 = (x^4)^2
The interesection of A and B.
9 & 6/7

44. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
The third side is greater than the difference and less than the sum.
10
An angle which is supplementary to an interior angle.

45. Which is greater? 200x^295 or 10x^294?
3
$3 -500 in the 9% and $2 -500 in the 7%.
Relationship cannot be determined (what if x is negative?)
53 - 59

46. Describe the relationship between 3x^2 and 3(x - 1)^2
The sum of digits is divisible by 9.
83.333%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Lies opposite the greater angle

47. 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?
F(x) + c
Its divisible by 2 and by 3.
13pi / 2
500

48. What is the sum of the angles of a triangle?
(a + b)^2
180 degrees
1
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

49. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
70

50. Factor a^2 + 2ab + b^2
A set with no members - denoted by a circle with a diagonal through it.
Angle/360 x 2(pi)r
(a + b)^2
Indeterminable.