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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. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
12sqrt2
3 - -3
5 OR -5

2. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
A reflection about the axis.
41 - 43 - 47
A central angle is an angle formed by 2 radii.

3. What is the side length of an equilateral triangle with altitude 6?
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...
20.5
61 - 67
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

4. 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?
83.333%
N! / (n-k)!
(amount of decrease/original price) x 100%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

5. Can you simplify sqrt72?
The union of A and B.
Sector area = (n/360) X (pi)r^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(n-2) x 180

6. The ratio of the areas of two similar polygons is ...
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)
2sqrt6
... the square of the ratios of the corresponding sides.
$3 -500 in the 9% and $2 -500 in the 7%.

7. What is the name for a grouping of the members within a set based on a shared characteristic?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
31 - 37
A subset.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

8. Pi is a ratio of what to what?

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9. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
13pi / 2
70
(amount of increase/original price) x 100%
A circle centered at -2 - -2 with radius 3.

10. What is the slope of a horizontal line?
0
N! / (n-k)!
x(x - y + 1)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

11. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
4a^2(b)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
52

12. (a^-1)/a^5
Sqrt 12
12.5%
1/a^6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

13. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
F(x) + c
87.5%
61 - 67
1

14. What is the set of elements which can be found in either A or B?
The union of A and B.
1
3 - -3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

15. To multiply a number by 10^x
Move the decimal point to the right x places
12! / 5!7! = 792
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
F(x + c)

16. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
The sum of digits is divisible by 9.
2(pi)r^2 + 2(pi)rh
1:sqrt3:2

17. What are the real numbers?
1
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 30-60-90 triangle.
11 - 13 - 17 - 19

18. What is an arc of a circle?
3
An arc is a portion of a circumference of a circle.
The objects within a set.
A reflection about the axis.

19. What is the 'domain' of a function?
The overlapping sections.
4096
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The set of input values for a function.

20. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
87.5%
G(x) = {x}
1
C = (pi)d

21. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Diameter(Pi)
1.7
All numbers multiples of 1.

22. Can the input value of a function have more than one output value (i.e. x: y - y1)?
The two xes after factoring.
No - the input value has exactly one output.
A reflection about the axis.
2sqrt6

23. Whats the difference between factors and multiples?
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)
Factors are few - multiples are many.
An isosceles right triangle.
4096

24. 413.03 x 10^(-4) =
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
0
Two angles whose sum is 90.
413.03 / 10^4 (move the decimal point 4 places to the left)

25. The perimeter of a square is 48 inches. The length of its diagonal is:
52
12sqrt2
441000 = 1 10 10 10 21 * 21
Pi is the ratio of a circle'S circumference to its diameter.

26. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
2.592 kg
90 degrees
Yes. [i.e. f(x) = x^2 - 1
0

27. What is a central angle?
A central angle is an angle formed by 2 radii.
The steeper the slope.
23 - 29
A chord is a line segment joining two points on a circle.

28. What is the name of set with a number of elements which cannot be counted?
IV
2sqrt6
A 30-60-90 triangle.
An infinite set.

29. What are the smallest three prime numbers greater than 65?
III
67 - 71 - 73
6
The second graph is less steep.

30. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
Its negative reciprocal. (-b/a)
A set with no members - denoted by a circle with a diagonal through it.
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
62.5%

31. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
180 degrees
A reflection about the axis.
.0004809 X 10^11

32. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
10! / (10-3)! = 720
A chord is a line segment joining two points on a circle.
28. n = 8 - k = 2. n! / k!(n-k)!
(amount of decrease/original price) x 100%

33. Define a 'monomial'
12.5%
An expression with just one term (-6x - 2a^2)
10! / 3!(10-3)! = 120
The set of output values for a function.

34. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Sector area = (n/360) X (pi)r^2
Its negative reciprocal. (-b/a)
13pi / 2
83.333%

35. What is the 'Range' of a function?
67 - 71 - 73
An isosceles right triangle.
The set of output values for a function.
A circle centered on the origin with radius 8.

36. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Pi is the ratio of a circle'S circumference to its diameter.
The set of elements found in both A and B.
$11 -448
An angle which is supplementary to an interior angle.

37. 30< all primes<40
31 - 37
Undefined - because we can'T divide by 0.
Members or elements
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.

38. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Two equal sides and two equal angles.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Its last two digits are divisible by 4.

39. What is the surface area of a cylinder with radius 5 and height 8?
48
130pi
The greatest value minus the smallest.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

40. The larger the absolute value of the slope...
The steeper the slope.
The point of intersection of the systems.
0
31 - 37

41. 8.84 / 5.2
The direction of the inequality is reversed.
Its last two digits are divisible by 4.
1.7
Area of the base X height = (pi)hr^2

42. Circumference of a circle?
1:1:sqrt2
Diameter(Pi)
Part = Percent X Whole
4a^2(b)

43. Which quadrant is the lower left hand?
The empty set - denoted by a circle with a diagonal through it.
An expression with just one term (-6x - 2a^2)
III
No - only like radicals can be added.

44. 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?
y = 2x^2 - 3
The interesection of A and B.
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...
500

45. x^(-y)=
F(x-c)
52
1/(x^y)
The curve opens downward and the vertex is the maximum point on the graph.

46. 40 < all primes<50
y = (x + 5)/2
4:5
41 - 43 - 47
1/a^6

47. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
20.5
A reflection about the origin.
288 (8 9 4)
3

48. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
(amount of decrease/original price) x 100%
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
4725
An expression with just one term (-6x - 2a^2)

49. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
87.5%
A set with no members - denoted by a circle with a diagonal through it.
III

50. Describe the relationship between the graphs of x^2 and (1/2)x^2
... the square of the ratios of the corresponding sides.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A set with no members - denoted by a circle with a diagonal through it.
The second graph is less steep.