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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. What is the set of elements which can be found in either A or B?
360/n
Reciprocal
The union of A and B.
x^(2(4)) =x^8 = (x^4)^2

2. What is the 'Solution' for a set of inequalities.
Indeterminable.
Ab=k (k is a constant)
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
The overlapping sections.

3. a^0 =
1
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Its last two digits are divisible by 4.
Null

4. the measure of a straight angle
= (actual decrease/Original amount) x 100%
P(E) = number of favorable outcomes/total number of possible outcomes
180°
1

5. 2 is the only
Null
Even prime number
NOT A PRIME
Can be negative - zero - or positive

6. 30 60 90
Ø Ø=Ø
A-b is negative
3 - 4 - 5
Even

7. Legs 5 - 12. Hypotenuse?
A grouping of the members within a set based on a shared characteristic.
Straight Angle
13
Undefined - because we can'T divide by 0.

8. Is 0 even or odd?
Even
A percent is a fraction whose denominator is 100.
An expression with just one term (-6x - 2a^2)
A-b is negative

9. What are the rational numbers?
... the square of the ratios of the corresponding sides.
x - x(SR3) - 2x
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3 - 4 - 5

10. If a product of two numbers is Ø - one number must be
Ø
Be Zero!
V=Lwh
A percent is a fraction whose denominator is 100.

11. What are 'Supplementary angles?'
Two angles whose sum is 180.
= (actual decrease/Original amount) x 100%
72
All numbers multiples of 1.

12. Formula to find a circle'S circumference from its diameter?
62.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
C = (pi)d

13. What is the graph of f(x) shifted left c units or spaces?
Ab=k (k is a constant)
F(x + c)
Sector area = (n/360) X (pi)r^2
1

14. Rate
52
D/t (distance)/(time)
(a - b)^2
x²-y²

15. a/Ø
2²
Pi is the ratio of a circle'S circumference to its diameter.
NOT A PRIME
Null

16. 30 60 90
NOT A PRIME
5 - 12 - 13
M= (Y1-Y2)/(X1-X2)
4096

17. Any Horizontal line slope
P= 2L + 2w
A grouping of the members within a set based on a shared characteristic.
5
zero

18. 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))?
A multiple of every integer
20.5
The set of elements found in both A and B.
10

19. If y is directly proportional to x - what does it equal?
y/x is a constant
P(E) = ø
55%
V=l×w×h

20. 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?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
N! / (n-k)!
A multiple of every integer
6

21. Number of degrees in a triangle
18
Ø=P(E)=1
180
71 - 73 - 79

22. Slope of any line that goes up from left to right
Positive
A natural number greater than 1 that has no positive divisors other than 1 and itself
18
A subset.

23. What is the 'domain' of a function?
27^(-4)
2sqrt6
The set of input values for a function.
130pi

24. A number is divisible by 3 if ...
1 - P(E)
Do not have slopes!
The sum of its digits is divisible by 3.
Smallest positive integer

25. What are the smallest three prime numbers greater than 65?
$11 -448
C = (pi)d
1
67 - 71 - 73

26. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
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)
P=4s (s=side)
The sum of the digits is a multiple of 9.

27. 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?
9
A set with no members - denoted by a circle with a diagonal through it.
A subset.
10! / 3!(10-3)! = 120

28. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A chord is a line segment joining two points on a circle.
(2x7)³
A reflection about the origin.
Edge³

29. Describe the relationship between 3x^2 and 3(x - 1)^2
23 - 29
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A multiple of every integer
37.5%

30. Formula to calculate arc length?
Be Zero!
F(x) - c
180°
Arc length = (n/360) x pi(2r) where n is the number of degrees.

31. Ø Is
87.5%
EVEN
A set with no members - denoted by a circle with a diagonal through it.
4096

32. What is an exterior angle?
An angle which is supplementary to an interior angle.
Positive or Negative
Do not have slopes!
Pi is the ratio of a circle'S circumference to its diameter.

33. (a^-1)/a^5
P(E) = 1/1 = 1
90
1/a^6
3/2 - 5/3

34. How many 3-digit positive integers are even and do not contain the digit 4?
180°
288 (8 9 4)
7 / 1000
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x

35. A number is divisible by 4 is...
The longest arc between points A and B on a circle'S diameter.
18
Its last two digits are divisible by 4.
1

36. What is the name of set with a number of elements which cannot be counted?
A = pi(r^2)
An infinite set.
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)
18

37. What are congruent triangles?
(n-2) x 180
Yes - like radicals can be added/subtracted.
12! / 5!7! = 792
Triangles with same measure and same side lengths.

38. The reciprocal of any non-zero #x is
1/x
1:sqrt3:2
M= (Y1-Y2)/(X1-X2)
True

39. Circumference of a circle?
Diameter(Pi)
A subset.
Even
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

40. Find distance when given time and rate
True
D=rt so r= d/t and t=d/r
B?b?b (where b is used as a factor n times)
6 : 1 : 2

41. a^2 + 2ab + b^2
3
(a + b)^2
(length)(width)(height)
Every number

42. Circumference of a circle
Parallelogram
N! / (k!)(n-k)!
Pi(diameter)
ODD number

43. Evaluate (4^3)^2
Lies opposite the greater angle
4096
A²+b²=c²
71 - 73 - 79

44. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
D/t (distance)/(time)
9
3

45. An Angle that'S 180°
Straight Angle
10! / 3!(10-3)! = 120
9 : 25
D=rt so r= d/t and t=d/r

46. The Perimeter of a Square
(amount of decrease/original price) x 100%
12! / 5!7! = 792
The set of elements which can be found in either A or B.
P=4s (s=side)

47. 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?
Can be negative - zero - or positive
y = 2x^2 - 3
x^(2(4)) =x^8 = (x^4)^2
2^9 / 2 = 256

48. For any number x
Can be negative - zero - or positive
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
A grouping of the members within a set based on a shared characteristic.
Its last two digits are divisible by 4.

49. Which is greater? 27^(-4) or 9^(-8)
A subset.
Reciprocal
27^(-4)
6

50. How to determine percent decrease?
1
55%
Positive
(amount of decrease/original price) x 100%