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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. (x^2)^4
When the function is not defined for all real numbers -; only a subset of the real numbers.
x^(2(4)) =x^8 = (x^4)^2
The union of A and B.
Pi is the ratio of a circle'S circumference to its diameter.

2. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
(amount of decrease/original price) x 100%
A grouping of the members within a set based on a shared characteristic.
A tangent is a line that only touches one point on the circumference of a circle.

3. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
I
31 - 37
1:sqrt3:2

4. 7/8 in percent?
0
Two angles whose sum is 90.
87.5%
1/(x^y)

5. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Cd
The interesection of A and B.
4725

6. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
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.
A circle centered on the origin with radius 8.
2.592 kg

7. What is a major arc?

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8. 6w^2 - w - 15 = 0
13
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3/2 - 5/3
70

9. Area of a triangle?
x^(6-3) = x^3
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.
(base*height) / 2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

10. Define a 'Term' -
Members or elements
1/2 times 7/3
Infinite.
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)

11. 10^6 has how many zeroes?
Cd
... the square of the ratios of the corresponding sides.
The steeper the slope.
6

12. Which is greater? 27^(-4) or 9^(-8)
F(x) - c
(a - b)(a + b)
27^(-4)
13pi / 2

13. Formula for the area of a sector of a circle?
Cd
x^(4+7) = x^11
130pi
Sector area = (n/360) X (pi)r^2

14. What is the formula for compounded interest?
83.333%
70
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.
48

15. Evaluate 4/11 + 11/12
1 & 37/132
A circle centered on the origin with radius 8.
71 - 73 - 79
The set of elements which can be found in either A or B.

16. What are the members or elements of a set?
53 - 59
The objects within a set.
Its divisible by 2 and by 3.
Angle/360 x 2(pi)r

17. What is a set with no members called?
A = pi(r^2)
180
3
The empty set - denoted by a circle with a diagonal through it.

18. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
3/2 - 5/3
The direction of the inequality is reversed.
The third side is greater than the difference and less than the sum.

19. 30< all primes<40
31 - 37
180
An infinite set.
4.25 - 6 - 22

20. How many sides does a hexagon have?
6
C = (pi)d
2sqrt6
x= (1.2)(.8)lw

21. What is the set of elements which can be found in either A or B?
A = I (1 + rt)
130pi
Even
The union of A and B.

22. What is the absolute value function?
G(x) = {x}
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The sum of digits is divisible by 9.

23. What is the surface area of a cylinder with radius 5 and height 8?
37.5%
Undefined
An expression with just one term (-6x - 2a^2)
130pi

24. What number between 70 & 75 - inclusive - has the greatest number of factors?
The empty set - denoted by a circle with a diagonal through it.
I
72
...multiply by 100.

25. If an inequality is multiplied or divided by a negative number....
12! / 5!7! = 792
11 - 13 - 17 - 19
An expression with just one term (-6x - 2a^2)
The direction of the inequality is reversed.

26. 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?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The steeper the slope.
500
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

27. a^0 =
1
.0004809 X 10^11
72
Relationship cannot be determined (what if x is negative?)

28. What is the percent formula?
(a - b)(a + b)
A set with a number of elements which can be counted.
Part = Percent X Whole
13pi / 2

29. What is the set of elements found in both A and B?
48
6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The interesection of A and B.

30. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
4a^2(b)
1
(a - b)^2
11 - 13 - 17 - 19

31. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Its last two digits are divisible by 4.
A chord is a line segment joining two points on a circle.
70
N! / (n-k)!

32. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
The greatest value minus the smallest.
y = 2x^2 - 3
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

33. What is a central angle?
A central angle is an angle formed by 2 radii.
4725
Its divisible by 2 and by 3.
2(pi)r^2 + 2(pi)rh

34. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
y = (x + 5)/2
6 : 1 : 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

35. Formula of rectangle where l increases by 20% and w decreases by 20%
x^(6-3) = x^3
x= (1.2)(.8)lw
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
F(x) + c

36. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
$3 -500 in the 9% and $2 -500 in the 7%.
(n-2) x 180
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

37. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
(n-2) x 180
Sector area = (n/360) X (pi)r^2
$3 -500 in the 9% and $2 -500 in the 7%.
13pi / 2

38. What is the slope of a vertical line?

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39. 1/2 divided by 3/7 is the same as
Divide by 100.
4.25 - 6 - 22
1/2 times 7/3
3 - -3

40. 413.03 x 10^(-4) =
Undefined - because we can'T divide by 0.
52
413.03 / 10^4 (move the decimal point 4 places to the left)
x^(6-3) = x^3

41. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
6
When the function is not defined for all real numbers -; only a subset of the real numbers.
8

42. A number is divisible by 3 if ...
The curve opens downward and the vertex is the maximum point on the graph.
An arc is a portion of a circumference of a circle.
The sum of its digits is divisible by 3.
23 - 29

43. Volume for a cylinder?
Area of the base X height = (pi)hr^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
x(x - y + 1)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

44. 1/8 in percent?
12.5%
Area of the base X height = (pi)hr^2
The set of elements found in both A and B.
An arc is a portion of a circumference of a circle.

45. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
1:sqrt3:2
The point of intersection of the systems.
Undefined

46. What is a chord of a circle?
x^(2(4)) =x^8 = (x^4)^2
An arc is a portion of a circumference of a circle.
The second graph is less steep.
A chord is a line segment joining two points on a circle.

47. 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)]?
True
...multiply by 100.
67 - 71 - 73
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

48. 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?
180 degrees
Two equal sides and two equal angles.
52
G(x) = {x}

49. P and r are factors of 100. What is greater - pr or 100?
90 degrees
F(x) - c
Indeterminable.
The point of intersection of the systems.

50. What is an exterior angle?
An angle which is supplementary to an interior angle.
G(x) = {x}
Angle/360 x 2(pi)r
The curve opens downward and the vertex is the maximum point on the graph.

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GRE Math: Common Errors

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