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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. How to find the area of a sector?
3
Angle/360 x (pi)r^2
Two angles whose sum is 90.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

2. What are the rational numbers?
Its negative reciprocal. (-b/a)
F(x) + c
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4:5

3. 1/8 in percent?
Infinite.
12.5%
11 - 13 - 17 - 19
x(x - y + 1)

4. 0^0
The overlapping sections.
The steeper the slope.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Undefined

5. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
The overlapping sections.
(n-2) x 180
2
Diameter(Pi)

6. What is the 'Range' of a series of 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)
The greatest value minus the smallest.
III
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

7. 2sqrt4 + sqrt4 =
From northeast - counterclockwise. I - II - III - IV
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
3sqrt4
A = I (1 + rt)

8. Evaluate 4/11 + 11/12
1 & 37/132
An arc is a portion of a circumference of a circle.
12! / 5!7! = 792
10

9. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A tangent is a line that only touches one point on the circumference of a circle.
2
2(pi)r^2 + 2(pi)rh

10. How to determine percent decrease?
Move the decimal point to the right x places
13pi / 2
The overlapping sections.
(amount of decrease/original price) x 100%

11. To multiply a number by 10^x
Move the decimal point to the right x places
Members or elements
28. n = 8 - k = 2. n! / k!(n-k)!
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

12. (x^2)^4
7 / 1000
6
x^(2(4)) =x^8 = (x^4)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

13. Legs 6 - 8. Hypotenuse?
The sum of digits is divisible by 9.
10
55%
The union of A and B.

14. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
x(x - y + 1)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
70
The greatest value minus the smallest.

15. What is a major arc?

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16. The larger the absolute value of the slope...
12! / 5!7! = 792
Area of the base X height = (pi)hr^2
Even
The steeper the slope.

17. 5/6 in percent?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
83.333%
2^9 / 2 = 256
F(x) + c

18. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(p + q)/5
Cd
441000 = 1 10 10 10 21 * 21
23 - 29

19. Factor a^2 + 2ab + b^2
87.5%
(a + b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
2

20. What percent of 40 is 22?
1/(x^y)
55%
1/a^6
x^(4+7) = x^11

21. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
F(x + c)
2sqrt6
No - the input value has exactly one output.
No - only like radicals can be added.

22. 50 < all primes< 60
3sqrt4
9 : 25
A set with a number of elements which can be counted.
53 - 59

23. What is the set of elements found in both A and B?
The interesection of A and B.
x= (1.2)(.8)lw
x^(2(4)) =x^8 = (x^4)^2
1:1:sqrt2

24. 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?
Its last two digits are divisible by 4.
y = 2x^2 - 3
III
2.592 kg

25. Length of an arc of a circle?
Angle/360 x 2(pi)r
The curve opens upward and the vertex is the minimal point on the graph.
(a - b)(a + b)
288 (8 9 4)

26. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
Diameter(Pi)
Angle/360 x (pi)r^2
18
90

27. 5/8 in percent?
Diameter(Pi)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
.0004809 X 10^11
62.5%

28. What is the ratio of the sides of an isosceles right triangle?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Part = Percent X Whole
(n-2) x 180
1:1:sqrt2

29. What is the 'Solution' for a set of inequalities.
Yes - like radicals can be added/subtracted.
F(x-c)
Pi is the ratio of a circle'S circumference to its diameter.
The overlapping sections.

30. What is the measure of an exterior angle of a regular pentagon?
The set of elements which can be found in either A or B.
Two angles whose sum is 90.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72

31. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4a^2(b)
83.333%
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)
An isosceles right triangle.

32. (a^-1)/a^5
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The greatest value minus the smallest.
1/a^6
10

33. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
2.592 kg
(p + q)/5
A = pi(r^2)

34. How to find the diagonal of a rectangular solid?
67 - 71 - 73
Infinite.
Even
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

35. What are 'Supplementary angles?'
Two angles whose sum is 180.
3sqrt4
2
500

36. If an inequality is multiplied or divided by a negative number....
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The direction of the inequality is reversed.
Angle/360 x 2(pi)r
Yes - like radicals can be added/subtracted.

37. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
2sqrt6
Area of the base X height = (pi)hr^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

38. If the two sides of a triangle are unequal then the longer side...
x= (1.2)(.8)lw
Lies opposite the greater angle
The objects within a set.
71 - 73 - 79

39. 6w^2 - w - 15 = 0
C = (pi)d
3/2 - 5/3
Part = Percent X Whole
1.0843 X 10^11

40. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
0
90
130pi
A set with no members - denoted by a circle with a diagonal through it.

41. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
...multiply by 100.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A reflection about the origin.
1

42. Which quadrant is the lower left hand?
5
A tangent is a line that only touches one point on the circumference of a circle.
A grouping of the members within a set based on a shared characteristic.
III

43. Which is greater? 27^(-4) or 9^(-8)
Its negative reciprocal. (-b/a)
II
27^(-4)
1/2 times 7/3

44. What is the 'domain' of a function?
10
12! / 5!7! = 792
The longest arc between points A and B on a circle'S diameter.
The set of input values for a function.

45. When does a function automatically have a restricted domain (2)?
12! / 5!7! = 792
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
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)
Triangles with same measure and same side lengths.

46. What are the members or elements of a set?
The curve opens upward and the vertex is the minimal point on the graph.
Undefined - because we can'T divide by 0.
The objects within a set.
(a - b)(a + b)

47. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The sum of its digits is divisible by 3.
180
(amount of decrease/original price) x 100%
A 30-60-90 triangle.

48. 1/6 in percent?
16.6666%
6 : 1 : 2
The direction of the inequality is reversed.
70

49. 40 < all primes<50
1/a^6
37.5%
41 - 43 - 47
II

50. Which is greater? 200x^295 or 10x^294?
5
Relationship cannot be determined (what if x is negative?)
y = (x + 5)/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.