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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.
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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. A number is divisible by 9 if...
G(x) = {x}
F(x-c)
Sqrt 12
The sum of digits is divisible by 9.

2. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
4:5
The point of intersection of the systems.
Relationship cannot be determined (what if x is negative?)

3. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
The sum of digits is divisible by 9.
2^9 / 2 = 256
3/2 - 5/3

4. Legs 6 - 8. Hypotenuse?
An expression with just one term (-6x - 2a^2)
4:5
10
The sum of digits is divisible by 9.

5. Define an 'expression'.
Relationship cannot be determined (what if x is negative?)
83.333%
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)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

6. Formula to find a circle'S circumference from its radius?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1
y = (x + 5)/2
C = 2(pi)r

7. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
...multiply by 100.
1:1:sqrt2
(a + b)^2
An isosceles right triangle.

8. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Area of the base X height = (pi)hr^2
41 - 43 - 47
Even

9. What is the graph of f(x) shifted right c units or spaces?
Indeterminable.
27^(-4)
F(x-c)
90pi

10. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
10! / (10-3)! = 720
90 degrees
A 30-60-90 triangle.
(b + c)

11. What is a set with no members called?
Two angles whose sum is 90.
A subset.
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)
The empty set - denoted by a circle with a diagonal through it.

12. 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?
(amount of increase/original price) x 100%
87.5%
1
N! / (n-k)!

13. What is the graph of f(x) shifted upward c units or spaces?
The direction of the inequality is reversed.
The two xes after factoring.
F(x) + c
x^(2(4)) =x^8 = (x^4)^2

14. 1/8 in percent?
12.5%
The sum of its digits is divisible by 3.
1/(x^y)
31 - 37

15. Formula to find a circle'S circumference from its diameter?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
C = (pi)d
$11 -448
9 : 25

16. Describe the relationship between 3x^2 and 3(x - 1)^2
41 - 43 - 47
A set with no members - denoted by a circle with a diagonal through it.
3/2 - 5/3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

17. What is a central angle?
A central angle is an angle formed by 2 radii.
Divide by 100.
288 (8 9 4)
Undefined

18. Convert 0.7% to a fraction.
Sector area = (n/360) X (pi)r^2
1.7
7 / 1000
No - only like radicals can be added.

19. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
62.5%
A circle centered at -2 - -2 with radius 3.
(a - b)(a + b)

20. If the two sides of a triangle are unequal then the longer side...
3
Lies opposite the greater angle
3sqrt4
2sqrt6

21. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
1.0843 X 10^11
The set of elements which can be found in either A or B.
Two equal sides and two equal angles.

22. Can the output value of a function have more than one input value?
A circle centered at -2 - -2 with radius 3.
6
Yes. [i.e. f(x) = x^2 - 1
Diameter(Pi)

23. 6w^2 - w - 15 = 0
3/2 - 5/3
Two angles whose sum is 180.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
... the square of the ratios of the corresponding sides.

24. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
1 & 37/132
x^(4+7) = x^11
90pi

25. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
62.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
N! / (n-k)!
N! / (k!)(n-k)!

26. What is the surface area of a cylinder with radius 5 and height 8?
Pi is the ratio of a circle'S circumference to its diameter.
180 degrees
$3 -500 in the 9% and $2 -500 in the 7%.
130pi

27. 4.809 X 10^7 =
F(x-c)
The point of intersection of the systems.
The longest arc between points A and B on a circle'S diameter.
.0004809 X 10^11

28. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
An angle which is supplementary to an interior angle.
13pi / 2
10! / 3!(10-3)! = 120
When the function is not defined for all real numbers -; only a subset of the real numbers.

29. What is the graph of f(x) shifted left c units or spaces?
$3 -500 in the 9% and $2 -500 in the 7%.
An angle which is supplementary to an interior angle.
An arc is a portion of a circumference of a circle.
F(x + c)

30. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
12sqrt2
F(x-c)
A central angle is an angle formed by 2 radii.

31. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
...multiply by 100.
4725
71 - 73 - 79
Infinite.

32. Surface area for a cylinder?
A set with a number of elements which can be counted.
2(pi)r^2 + 2(pi)rh
All numbers multiples of 1.
83.333%

33. 20<all primes<30
y = 2x^2 - 3
2(pi)r^2 + 2(pi)rh
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
23 - 29

34. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The two xes after factoring.
72

35. (-1)^3 =
1
Divide by 100.
(amount of decrease/original price) x 100%
Pi is the ratio of a circle'S circumference to its diameter.

36. Can you simplify sqrt72?
7 / 1000
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
F(x) + c
1

37. What is the formula for computing simple interest?
II
A reflection about the origin.
A = I (1 + rt)
5

38. How to find the area of a sector?
67 - 71 - 73
Angle/360 x (pi)r^2
9 & 6/7
1.0843 X 10^11

39. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
A subset.
The set of elements which can be found in either A or B.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The third side is greater than the difference and less than the sum.

40. 413.03 x 10^(-4) =
Angle/360 x (pi)r^2
413.03 / 10^4 (move the decimal point 4 places to the left)
An angle which is supplementary to an interior angle.
10

41. What is the formula for compounded interest?
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.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1
From northeast - counterclockwise. I - II - III - IV

42. A number is divisible by 3 if ...
The overlapping sections.
1/a^6
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of its digits is divisible by 3.

43. 40 < all primes<50
Area of the base X height = (pi)hr^2
10! / 3!(10-3)! = 120
No - only like radicals can be added.
41 - 43 - 47

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?
500
$3 -500 in the 9% and $2 -500 in the 7%.
Two angles whose sum is 180.
The steeper the slope.

45. Factor x^2 - xy + x.
The third side is greater than the difference and less than the sum.
71 - 73 - 79
x(x - y + 1)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

46. 2sqrt4 + sqrt4 =
(base*height) / 2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4096
3sqrt4

47. What is the maximum value for the function g(x) = (-2x^2) -1?
1
A = pi(r^2)
1:sqrt3:2
x^(4+7) = x^11

48. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
288 (8 9 4)
2
55%
4725

49. What percent of 40 is 22?
52
4a^2(b)
N! / (n-k)!
55%

50. x^(-y)=
Two angles whose sum is 90.
x(x - y + 1)
1/(x^y)
Indeterminable.

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GRE Math: Common Errors

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