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GRE Math: All In One

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. Pi is a ratio of what to what?

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2. Consecutive integers
360°
V=Lwh
x - x+1 - x+2
The interesection of A and B.

3. 1n
31 - 37
1
y2-y1/x2-x1
10! / 3!(10-3)! = 120

4. How many multiples does a given number have?
71 - 73 - 79
A reflection about the axis.
Infinite.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

5. 1 is an
ODD number
Diameter(Pi)
87.5%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

6. 0^0
x²-y²
y = (x + 5)/2
Factors are few - multiples are many.
Undefined

7. a(b+c)
(a + b)^2
6 : 1 : 2
Smallest positive integer
Ab+ac

8. a^0 =
1/2 times 7/3
72
75:11
1

9. 1/Ø=null If a>b then
Smallest positive integer
A<-b
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
83.333%

10. The only number that is equal to its opposite
Undefined - because we can'T divide by 0.
x^(4+7) = x^11
Ø Ø=Ø
Diameter(Pi)

11. A number is divisible by 6 if...
No - only like radicals can be added.
Its divisible by 2 and by 3.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Subtract them. i.e (5^7)/(5^3)= 5^4

12. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
67 - 71 - 73
(amount of decrease/original price) x 100%
Diameter(Pi)

13. The consecutive angles in a parallelogram equal
N! / (k!)(n-k)!
Ø=P(E)=1
The shortest arc between points A and B on a circle'S diameter.
180°

14. What is the 'Solution' for a set of inequalities.
53 - 59
The two xes after factoring.
The overlapping sections.
(x+y)(x+y)

15. Evaluate (4^3)^2
A central angle is an angle formed by 2 radii.
4096
The two xes after factoring.
(a - b)(a + b)

16. The product of odd number of negative numbers
The point of intersection of the systems.
Ø
Negative
Indeterminable.

17. If a<b - then
The set of elements found in both A and B.
13pi / 2
A+c<b+c
(p + q)/5

18. Circumference of a Circle
A reflection about the origin.
C=2 x pi x r OR pi x D
Null
Straight Angle

19. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
A=(base)(height)
Move the decimal point to the right x places
37.5%

20. What is the graph of f(x) shifted right c units or spaces?
... the square of the ratios of the corresponding sides.
360°
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
F(x-c)

21. Probability of E not occurring:
441000 = 1 10 10 10 21 * 21
The empty set - denoted by a circle with a diagonal through it.
1 - P(E)
B?b?b (where b is used as a factor n times)

22. Ø is
180°
28. n = 8 - k = 2. n! / k!(n-k)!
Straight Angle
A multiple of every integer

23. Product of any number and Ø is
Ø
Right
y/x is a constant
F(x) - c

24. Whats the difference between factors and multiples?
Every number
10
75:11
Factors are few - multiples are many.

25. What are the members or elements of a set?
1
.0004809 X 10^11
A grouping of the members within a set based on a shared characteristic.
The objects within a set.

26. How many sides does a hexagon have?
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
A=(base)(height)
1/x
6

27. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
Ø
Negative
A set with a number of elements which can be counted.

28. 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?
Every number
(base*height) / 2
x - x+1 - x+2
N! / (n-k)!

29. 30 60 90
A subset.
Ø
Negative
3 - 4 - 5

30. 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?
Members or elements
75:11
A-b is negative
6

31. Formula to find a circle'S circumference from its diameter?
72
$11 -448
C = (pi)d
A natural number greater than 1 that has no positive divisors other than 1 and itself

32. Circumference of a circle
B?b?b (where b is used as a factor n times)
2(pi)r
F(x-c)
2

33. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
48
x²+2xy+y²
(a - b)(a + b)

34. x^4 + x^7 =
V=side³
8
x^(4+7) = x^11
An arc is a portion of a circumference of a circle.

35. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Edge³
10! / (10-3)! = 720
Factors are few - multiples are many.

36. 70 < all primes< 80
90pi
3 - -3
71 - 73 - 79
Undefined

37. What is the slope of a horizontal line?
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)
0
(amount of decrease/original price) x 100%
Cd

38. formula for volume of a rectangular solid
4:5
V=l×w×h
Undefined - because we can'T divide by 0.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

39. 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?
x²-y²
52
x - x(SR3) - 2x
(a - b)(a + b)

40. How to recognize a # as a multiple of 4
x²-y²
1
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
The two xes after factoring.

41. 1/6 in percent?
x^(6-3) = x^3
Move the decimal point to the right x places
12sqrt2
16.6666%

42. Distance
Positive or Negative
Ø
441000 = 1 10 10 10 21 * 21
(rate)(time) d=rt

43. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
An infinite set.
72
y = 2x^2 - 3
3/2 - 5/3

44. a^2 - 2ab + b^2
28. n = 8 - k = 2. n! / k!(n-k)!
Its last two digits are divisible by 4.
(a - b)^2
61 - 67

45. a<b then a - b is positive or negative?
83.333%
75:11
A-b is negative
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

46. What percent of 40 is 22?
1:1:sqrt2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
55%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

47. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
0
180 degrees

48. (x-y)(x+y)
The set of elements which can be found in either A or B.
A-b is positive
Negative
x²-y²

49. 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))?
0
y/x is a constant
20.5
87.5%

50. Factor x^2 - xy + x.
360/n
x(x - y + 1)
Parallelogram
180°