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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. X is the opposite of
X
A multiple of every integer
5
(p + q)/5

2. Rate
N! / (n-k)!
D/t (distance)/(time)
5
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

3. What is a subset?
P(E) = ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
130pi
A grouping of the members within a set based on a shared characteristic.

4. Ø Is neither
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Null
Positive or Negative
The set of elements found in both A and B.

5. Find distance when given time and rate
A central angle is an angle formed by 2 radii.
Null
D=rt so r= d/t and t=d/r
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

6. Evaluate 3& 2/7 / 1/3
x^(2(4)) =x^8 = (x^4)^2
9 & 6/7
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2sqrt6

7. the measure of a straight angle
The set of input values for a function.
Straight Angle
180°
1:1:sqrt2

8. How many sides does a hexagon have?
(distance)/(rate) d/r
20.5
... the square of the ratios of the corresponding sides.
6

9. The reciprocal of any non-zero number is
1/x
(a + b)^2
10! / (10-3)! = 720
(pi)r²

10. Slope of any line that goes up from left to right
Members or elements
180°
Positive
360/n

11. Factor x^2 - xy + x.
A chord is a line segment joining two points on a circle.
x(x - y + 1)
1/x
EVEN

12. Circumference of a circle
N! / (k!)(n-k)!
2(pi)r
The greatest value minus the smallest.
Cd

13. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
y = 2x^2 - 3
10! / (10-3)! = 720
F(x + c)
13pi / 2

14. Legs 6 - 8. Hypotenuse?
3
10
5
Two (Ø×2=Ø)

15. x^2 = 9. What is the value of x?
(b + c)
3 - -3
Every number
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

16. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
3 - 4 - 5
Relationship cannot be determined (what if x is negative?)
10! / (10-3)! = 720
28. n = 8 - k = 2. n! / k!(n-k)!

17. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(n-2) x 180
x^(4+7) = x^11
28

18. Ø²
Sector area = (n/360) X (pi)r^2
Ab-ac
Ø
Triangles with same measure and same side lengths.

19. The objects in a set are called two names:
Its last two digits are divisible by 4.
Members or elements
Positive
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)

20. 1 is an
A reflection about the axis.
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)
ODD number
(p + q)/5

21. What is the name of set with a number of elements which cannot be counted?
V=side³
Null
An infinite set.
Straight Angle

22. P and r are factors of 100. What is greater - pr or 100?
(n-2) x 180
Negative
Indeterminable.
441000 = 1 10 10 10 21 * 21

23. 25+2³
1
180°
2.592 kg
28

24. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
13
Sum of digits is a multiple of 3 and the last digit is even.
4:5
A=(base)(height)

25. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
360°
Even
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
53 - 59

26. What is the intersection of A and B?
Move the decimal point to the right x places
Undefined - because we can'T divide by 0.
C = 2(pi)r
The set of elements found in both A and B.

27. What is the graph of f(x) shifted right c units or spaces?
90°
An isosceles right triangle.
F(x-c)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

28. formula for area of a triangle
A=½bh
83.333%
C = 2(pi)r
Undefined

29. 3/8 in percent?
1/2 times 7/3
500
37.5%
V=side³

30. Convert 0.7% to a fraction.
18
A+c<b+c
Two equal sides and two equal angles.
7 / 1000

31. How to determine percent decrease?
(amount of decrease/original price) x 100%
A reflection about the origin.
27^(-4)
Null

32. x^4 + x^7 =
x^(4+7) = x^11
Ø Ø=Ø
4096
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

33. If a<b - then
12sqrt2
A natural number greater than 1 that has no positive divisors other than 1 and itself
A+c<b+c
Smallest positive integer

34. 30 60 90
3 - 4 - 5
180°
The set of output values for a function.
180 degrees

35. 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))?
83.333%
an angle that is less than 90°
20.5
N! / (k!)(n-k)!

36. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Pi(diameter)
Members or elements
23 - 29

37. The perimeter of a square is 48 inches. The length of its diagonal is:
y = 2x^2 - 3
12sqrt2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The sum of the digits is a multiple of 9.

38. What are the smallest three prime numbers greater than 65?
y/x is a constant
3/2 - 5/3
67 - 71 - 73
1 & 37/132

39. The sum of the measures of the n angles in a polygon with n sides
x - x(SR3) - 2x
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)
(n-2) x 180
No - only like radicals can be added.

40. Legs 5 - 12. Hypotenuse?
13
(amount of decrease/original price) x 100%
A-b is negative
27

41. 30 60 90
1/a^6
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
(a + b)^2
5 - 12 - 13

42. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
The longest arc between points A and B on a circle'S diameter.
Even
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

43. Simplify the expression (p^2 - q^2)/ -5(q - p)
A= (1/2) b*h
Infinite.
(p + q)/5
28. n = 8 - k = 2. n! / k!(n-k)!

44. (12sqrt15) / (2sqrt5) =
Move the decimal point to the right x places
Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

45. Simplify (a^2 + b)^2 - (a^2 - b)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4a^2(b)
72
An is positive

46. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
(n-2) x 180
Pi(diameter)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

47. When multiplying exponential #s with the same base - you do this to the exponents...
The objects within a set.
27
Add them. i.e. (5^7) * (5^3) = 5^10
D=rt so r= d/t and t=d/r

48. What are congruent triangles?
10
The greatest value minus the smallest.
1/x
Triangles with same measure and same side lengths.

49. 10^6 has how many zeroes?
x²-2xy+y²
P(E) = ø
6
180 degrees

50. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Even
2sqrt6
20.5
1.7