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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. 7/8 in percent?
87.5%
52
A = pi(r^2)
70

2. Evaluate (4^3)^2
4096
(n-2) x 180
10! / (10-3)! = 720
An expression with just one term (-6x - 2a^2)

3. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
11 - 13 - 17 - 19
Diameter(Pi)
x^(2(4)) =x^8 = (x^4)^2

4. 0^0
Undefined
1
1
The two xes after factoring.

5. The objects in a set are called two names:
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Members or elements
Angle/360 x (pi)r^2
1/(x^y)

6. 5x^2 - 35x -55 = 0
No - only like radicals can be added.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
4096
28. n = 8 - k = 2. n! / k!(n-k)!

7. What is a subset?
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.
4096
A grouping of the members within a set based on a shared characteristic.
180 degrees

8. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
4a^2(b)
1
20.5

9. Factor x^2 - xy + x.
The empty set - denoted by a circle with a diagonal through it.
x(x - y + 1)
6 : 1 : 2
Lies opposite the greater angle

10. To convert a percent to a fraction....
1
All numbers multiples of 1.
Divide by 100.
The objects within a set.

11. 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?
x^(4+7) = x^11
52
288 (8 9 4)
9 : 25

12. Formula to calculate arc length?
.0004809 X 10^11
1/a^6
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1

13. What is a chord of a circle?
13
4725
A chord is a line segment joining two points on a circle.
II

14. x^(-y)=
Yes - like radicals can be added/subtracted.
An angle which is supplementary to an interior angle.
87.5%
1/(x^y)

15. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
441000 = 1 10 10 10 21 * 21
48
(a - b)^2
9 : 25

16. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
Part = Percent X Whole
Triangles with same measure and same side lengths.
Its last two digits are divisible by 4.

17. 5/8 in percent?
3
5
62.5%
III

18. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
A central angle is an angle formed by 2 radii.
A = I (1 + rt)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

19. Define a 'monomial'
4725
130pi
The empty set - denoted by a circle with a diagonal through it.
An expression with just one term (-6x - 2a^2)

20. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
(a - b)(a + b)
Pi is the ratio of a circle'S circumference to its diameter.
2

21. 8.84 / 5.2
53 - 59
37.5%
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)
1.7

22. What is the 'Solution' for a system of linear equations?
2.592 kg
The point of intersection of the systems.
18
The curve opens downward and the vertex is the maximum point on the graph.

23. What is the graph of f(x) shifted right c units or spaces?
3/2 - 5/3
1:sqrt3:2
12! / 5!7! = 792
F(x-c)

24. When does a function automatically have a restricted domain (2)?
The two xes after factoring.
(a + b)^2
3/2 - 5/3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

25. What is the 'domain' of a function?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of input values for a function.

26. What is the percent formula?
Ax^2 + bx + c where a -b and c are constants and a /=0
Part = Percent X Whole
3
x^(4+7) = x^11

27. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
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
37.5%
413.03 / 10^4 (move the decimal point 4 places to the left)

28. 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
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
18
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
413.03 / 10^4 (move the decimal point 4 places to the left)

29. 3/8 in percent?
A circle centered at -2 - -2 with radius 3.
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...
I
37.5%

30. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
A subset.
The longest arc between points A and B on a circle'S diameter.
Cd
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

31. When the 'a' in a parabola is positive....
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
90 degrees
The curve opens upward and the vertex is the minimal point on the graph.

32. 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)?
A chord is a line segment joining two points on a circle.
Members or elements
y = (x + 5)/2
x^(6-3) = x^3

33. What is the 'Restricted domain of a function'?
180 degrees
When the function is not defined for all real numbers -; only a subset of the real numbers.
4.25 - 6 - 22
Yes - like radicals can be added/subtracted.

34. How to determine percent increase?
10! / 3!(10-3)! = 120
From northeast - counterclockwise. I - II - III - IV
1
(amount of increase/original price) x 100%

35. If the two sides of a triangle are unequal then the longer side...
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
12sqrt2
The shortest arc between points A and B on a circle'S diameter.
Lies opposite the greater angle

36. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The point of intersection of the systems.
A circle centered on the origin with radius 8.
2.592 kg
8

37. What is a tangent?
4096
Angle/360 x (pi)r^2
x= (1.2)(.8)lw
A tangent is a line that only touches one point on the circumference of a circle.

38. Pi is a ratio of what to what?

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39. Which is greater? 27^(-4) or 9^(-8)
413.03 / 10^4 (move the decimal point 4 places to the left)
Sqrt 12
27^(-4)
.0004809 X 10^11

40. How many multiples does a given number have?
Move the decimal point to the right x places
48
Infinite.
An expression with just one term (-6x - 2a^2)

41. To multiply a number by 10^x
11 - 13 - 17 - 19
18
Move the decimal point to the right x places
1.7

42. Legs 6 - 8. Hypotenuse?
10
N! / (n-k)!
F(x) - c
The curve opens downward and the vertex is the maximum point on the graph.

43. How to determine percent decrease?
No - only like radicals can be added.
(amount of decrease/original price) x 100%
$11 -448
A = I (1 + rt)

44. What is the 'Range' of a series of numbers?
A circle centered on the origin with radius 8.
Move the decimal point to the right x places
The greatest value minus the smallest.
4725

45. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
20.5
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2sqrt6

46. 10^6 has how many zeroes?
A subset.
The set of elements which can be found in either A or B.
500
6

47. Can the input value of a function have more than one output value (i.e. x: y - y1)?
$3 -500 in the 9% and $2 -500 in the 7%.
3sqrt4
No - the input value has exactly one output.
... the square of the ratios of the corresponding sides.

48. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The set of elements found in both A and B.
2 & 3/7
Pi is the ratio of a circle'S circumference to its diameter.
A central angle is an angle formed by 2 radii.

49. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
71 - 73 - 79
3
87.5%

50. How to find the circumference of a circle which circumscribes a square?
A circle centered at -2 - -2 with radius 3.
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
23 - 29