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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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 'domain' of a function?
The set of input values for a function.
IV
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A 30-60-90 triangle.

2. What is the intersection of A and B?
The set of elements found in both A and B.
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)
N! / (k!)(n-k)!
10! / (10-3)! = 720

3. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A reflection about the axis.
y = 2x^2 - 3
(amount of decrease/original price) x 100%

4. What is the sum of the angles of a triangle?
72
4a^2(b)
180 degrees
71 - 73 - 79

5. 25^(1/2) or sqrt. 25 =
F(x) + c
5 OR -5
4096
72

6. How many multiples does a given number have?
12! / 5!7! = 792
Infinite.
The shortest arc between points A and B on a circle'S diameter.
A = I (1 + rt)

7. (a^-1)/a^5
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
90
1/a^6
y = 2x^2 - 3

8. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
...multiply by 100.
37.5%
Lies opposite the greater angle
1

9. What is a subset?
1/2 times 7/3
A grouping of the members within a set based on a shared characteristic.
The set of output values for a function.
(a + b)^2

10. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
1/(x^y)
Triangles with same measure and same side lengths.
The sum of digits is divisible by 9.

11. Pi is a ratio of what to what?

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12. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
1.7
55%
4.25 - 6 - 22

13. 0^0
IV
Yes - like radicals can be added/subtracted.
The longest arc between points A and B on a circle'S diameter.
Undefined

14. 1/8 in percent?
12.5%
$3 -500 in the 9% and $2 -500 in the 7%.
1
Divide by 100.

15. Can you subtract 3sqrt4 from sqrt4?
413.03 / 10^4 (move the decimal point 4 places to the left)
Yes - like radicals can be added/subtracted.
72
23 - 29

16. What are the smallest three prime numbers greater than 65?
53 - 59
67 - 71 - 73
55%
52

17. Convert 0.7% to a fraction.
72
7 / 1000
The curve opens upward and the vertex is the minimal point on the graph.
(a + b)^2

18. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
F(x) - c
10! / (10-3)! = 720
Ax^2 + bx + c where a -b and c are constants and a /=0

19. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
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
16.6666%
20.5
The steeper the slope.

20. The perimeter of a square is 48 inches. The length of its diagonal is:
13
12sqrt2
The curve opens upward and the vertex is the minimal point on the graph.
(a + b)^2

21. When the 'a' in the parabola is negative...
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
83.333%
Angle/360 x (pi)r^2
The curve opens downward and the vertex is the maximum point on the graph.

22. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Yes. [i.e. f(x) = x^2 - 1

23. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
A circle centered on the origin with radius 8.
True
1
28. n = 8 - k = 2. n! / k!(n-k)!

24. 40 < all primes<50
28. n = 8 - k = 2. n! / k!(n-k)!
41 - 43 - 47
Divide by 100.
1

25. How to determine percent decrease?
(amount of decrease/original price) x 100%
The set of elements which can be found in either A or B.
130pi
From northeast - counterclockwise. I - II - III - IV

26. 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?
Diameter(Pi)
1:sqrt3:2
52
72

27. 2sqrt4 + sqrt4 =
1/2 times 7/3
3sqrt4
A subset.
From northeast - counterclockwise. I - II - III - IV

28. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
III
A circle centered at -2 - -2 with radius 3.
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)

29. In a regular polygon with n sides - the formula for the sum of interior angles
2
61 - 67
The set of elements which can be found in either A or B.
(n-2) x 180

30. Formula to find a circle'S circumference from its radius?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
All numbers multiples of 1.
A 30-60-90 triangle.
C = 2(pi)r

31. What is the graph of f(x) shifted downward c units or spaces?
Yes. [i.e. f(x) = x^2 - 1
12.5%
F(x) - c
8

32. Solve the quadratic equation ax^2 + bx + c= 0
Two angles whose sum is 90.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(amount of increase/original price) x 100%
The interesection of A and B.

33. 7/8 in percent?
87.5%
The set of input values for a function.
Undefined - because we can'T divide by 0.
The sum of digits is divisible by 9.

34. What is the slope of a horizontal line?
0
10! / (10-3)! = 720
Undefined
From northeast - counterclockwise. I - II - III - IV

35. 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)?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
A = I (1 + rt)
The set of elements which can be found in either A or B.
y = (x + 5)/2

36. What number between 70 & 75 - inclusive - has the greatest number of factors?
500
3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72

37. What is the 'Range' of a series of numbers?
Angle/360 x (pi)r^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The greatest value minus the smallest.
From northeast - counterclockwise. I - II - III - IV

38. Formula to calculate arc length?
When the function is not defined for all real numbers -; only a subset of the real numbers.
The curve opens downward and the vertex is the maximum point on the graph.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
70

39. What is the empty set?
Angle/360 x (pi)r^2
The sum of its digits is divisible by 3.
A set with no members - denoted by a circle with a diagonal through it.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

40. What is the graph of f(x) shifted upward c units or spaces?
The two xes after factoring.
90pi
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
F(x) + c

41. 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?
83.333%
9 : 25
2^9 / 2 = 256
G(x) = {x}

42. 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?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
N! / (n-k)!
G(x) = {x}

43. 6w^2 - w - 15 = 0
3/2 - 5/3
F(x) - c
A circle centered at -2 - -2 with radius 3.
(a + b)^2

44. What is a tangent?
37.5%
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A tangent is a line that only touches one point on the circumference of a circle.

45. What is a piecewise equation?
4:5
...multiply by 100.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
441000 = 1 10 10 10 21 * 21

46. What does the graph x^2 + y^2 = 64 look like?
Sqrt 12
A circle centered on the origin with radius 8.
413.03 / 10^4 (move the decimal point 4 places to the left)
53 - 59

47. a^0 =
20.5
y = 2x^2 - 3
(amount of decrease/original price) x 100%
1

48. 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?
1/a^6
75:11
(amount of decrease/original price) x 100%
A central angle is an angle formed by 2 radii.

49. 5x^2 - 35x -55 = 0
F(x-c)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The longest arc between points A and B on a circle'S diameter.

50. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
288 (8 9 4)
1
An infinite set.
28. n = 8 - k = 2. n! / k!(n-k)!

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GRE Math: Common Errors

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