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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. Is 0 even or odd?
Even
4725
The two xes after factoring.
62.5%

2. 1/6 in percent?
1.7
16.6666%
The sum of its digits is divisible by 3.
1 & 37/132

3. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
1:1:sqrt2
Yes. [i.e. f(x) = x^2 - 1
12! / 5!7! = 792

4. What is the order of operations?
Undefined
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
N! / (n-k)!

5. Define an 'expression'.
2^9 / 2 = 256
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)
5
(a - b)(a + b)

6. What is a parabola?
The union of A and B.
x^(4+7) = x^11
Ax^2 + bx + c where a -b and c are constants and a /=0
A reflection about the axis.

7. How to determine percent decrease?
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)
F(x) + c
(amount of decrease/original price) x 100%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

8. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
2 & 3/7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A reflection about the axis.
18

9. What is the slope of a horizontal line?
0
...multiply by 100.
... the square of the ratios of the corresponding sides.
The empty set - denoted by a circle with a diagonal through it.

10. Formula for the area of a sector of a circle?
y = 2x^2 - 3
Sector area = (n/360) X (pi)r^2
13
The direction of the inequality is reversed.

11. 413.03 x 10^(-4) =
7 / 1000
413.03 / 10^4 (move the decimal point 4 places to the left)
A = pi(r^2)
x= (1.2)(.8)lw

12. 10<all primes<20
61 - 67
3
70
11 - 13 - 17 - 19

13. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
x^(2(4)) =x^8 = (x^4)^2
2 & 3/7
1

14. 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?
413.03 / 10^4 (move the decimal point 4 places to the left)
1:1:sqrt2
A set with no members - denoted by a circle with a diagonal through it.
N! / (n-k)!

15. Can the input value of a function have more than one output value (i.e. x: y - y1)?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
No - the input value has exactly one output.
Members or elements
Its negative reciprocal. (-b/a)

16. 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?
N! / (k!)(n-k)!
Indeterminable.
Undefined - because we can'T divide by 0.
A = I (1 + rt)

17. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
A grouping of the members within a set based on a shared characteristic.
The third side is greater than the difference and less than the sum.
Ax^2 + bx + c where a -b and c are constants and a /=0

18. 10^6 has how many zeroes?
6
52
1/2 times 7/3
N! / (k!)(n-k)!

19. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)

20. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
1
28. n = 8 - k = 2. n! / k!(n-k)!
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

21. 4.809 X 10^7 =
The two xes after factoring.
A tangent is a line that only touches one point on the circumference of a circle.
.0004809 X 10^11
10! / 3!(10-3)! = 120

22. What is the slope of a vertical line?

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23. What are the members or elements of a set?
Area of the base X height = (pi)hr^2
The objects within a set.
A reflection about the origin.
6

24. 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?
The objects within a set.
10
(a - b)^2
500

25. What are complementary angles?
IV
Two angles whose sum is 90.
A 30-60-90 triangle.
A reflection about the axis.

26. What is a piecewise equation?
288 (8 9 4)
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
An isosceles right triangle.
4a^2(b)

27. x^(-y)=
6
Ax^2 + bx + c where a -b and c are constants and a /=0
53 - 59
1/(x^y)

28. 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)
1.7
.0004809 X 10^11
The longest arc between points A and B on a circle'S diameter.
4.25 - 6 - 22

29. What are the irrational numbers?

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30. What are the real numbers?
(amount of decrease/original price) x 100%
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 = I (1 + rt)
F(x + c)

31. (6sqrt3) x (2sqrt5) =
A tangent is a line that only touches one point on the circumference of a circle.
1.7
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
55%

32. What is a finite set?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
An angle which is supplementary to an interior angle.
A reflection about the origin.
A set with a number of elements which can be counted.

33. 2sqrt4 + sqrt4 =
16.6666%
3sqrt4
0
A subset.

34. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
Two angles whose sum is 90.
48
A set with a number of elements which can be counted.
(a - b)(a + b)

35. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
x^(6-3) = x^3
70
Indeterminable.
Its negative reciprocal. (-b/a)

36. How many 3-digit positive integers are even and do not contain the digit 4?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
288 (8 9 4)
The third side is greater than the difference and less than the sum.
A central angle is an angle formed by 2 radii.

37. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
Move the decimal point to the right x places
41 - 43 - 47
1

38. Formula for the area of a circle?
A = pi(r^2)
The shortest arc between points A and B on a circle'S diameter.
(n-2) x 180
71 - 73 - 79

39. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
Members or elements
A chord is a line segment joining two points on a circle.
The point of intersection of the systems.

40. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
500
Two angles whose sum is 90.
9 : 25

41. What is an isoceles triangle?
4096
Its last two digits are divisible by 4.
Yes. [i.e. f(x) = x^2 - 1
Two equal sides and two equal angles.

42. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2 & 3/7
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)
5 OR -5

43. What is the name for a grouping of the members within a set based on a shared characteristic?
Members or elements
The objects within a set.
A subset.
18

44. Evaluate (4^3)^2
F(x) - c
4096
20.5
Sqrt 12

45. What is an arc of a circle?
1.0843 X 10^11
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An arc is a portion of a circumference of a circle.
No - the input value has exactly one output.

46. a^0 =
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1
The set of elements found in both A and B.
1/a^6

47. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
90 degrees
4096

48. Number of degrees in a triangle
The sum of its digits is divisible by 3.
180
x(x - y + 1)
The empty set - denoted by a circle with a diagonal through it.

49. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
N! / (n-k)!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(a + b)^2
37.5%

50. 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)]?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Sqrt 12
1
True