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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
Add them. i.e. (5^7) * (5^3) = 5^10
7 / 1000
41 - 43 - 47
X

2. What is a set with no members called?
True
12.5%
The empty set - denoted by a circle with a diagonal through it.
1 - P(E)

3. Is 0 even or odd?
Even
(a + b)^2
An isosceles right triangle.
2(pi)r

4. What are complementary angles?
Two angles whose sum is 90.
10! / (10-3)! = 720
B?b?b (where b is used as a factor n times)
F(x + c)

5. 5x^2 - 35x -55 = 0
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
37.5%
Negative

6. 1n
71 - 73 - 79
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.
1
The set of input values for a function.

7. 8.84 / 5.2
360°
1.7
11 - 13 - 17 - 19
Two angles whose sum is 180.

8. 1/Ø=null If a>b then
y/x is a constant
A<-b
No - only like radicals can be added.
(n-2) x 180

9. Any Horizontal line slope
zero
(base*height) / 2
1/x
3

10. Circumference of a Circle
Ø=P(E)=1
(n-2) x 180
C=2 x pi x r OR pi x D
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.

11. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1/2 times 7/3
90pi
Diameter(Pi)

12. Probability of an Event
x(x - y + 1)
P(E) = number of favorable outcomes/total number of possible outcomes
9
The empty set - denoted by a circle with a diagonal through it.

13. 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?
An angle which is supplementary to an interior angle.
M= (Y1-Y2)/(X1-X2)
Its last two digits are divisible by 4.
2.592 kg

14. formula for distance problems
Distance=rate×time or d=rt
Two angles whose sum is 90.
V=Lwh
0

15. To multiply a number by 10^x
72
A tangent is a line that only touches one point on the circumference of a circle.
Move the decimal point to the right x places
$3 -500 in the 9% and $2 -500 in the 7%.

16. (a^-1)/a^5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1/a^6
90pi
Pi is the ratio of a circle'S circumference to its diameter.

17. 30 60 90
V=Lwh
8
9
3x - 4x - 5x

18. In a Regular Polygon - the measure of each exterior angle
1/x
360/n
2(pi)r
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

19. What is the 'domain' of a function?
Smallest positive integer
The set of input values for a function.
x(x - y + 1)
The set of elements found in both A and B.

20. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
x²-2xy+y²
A-b is positive
Every number
A 30-60-90 triangle.

21. 0^0
A grouping of the members within a set based on a shared characteristic.
90pi
Null
Undefined

22. Area of a circle
360/n
(pi)r²
72
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

23. Ø is a multiple of
Two (Ø×2=Ø)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
16.6666%
0

24. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
A central angle is an angle formed by 2 radii.
13pi / 2
Yes - like radicals can be added/subtracted.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

25. 25^(1/2) or sqrt. 25 =
(a - b)^2
360°
5 OR -5
Yes - like radicals can be added/subtracted.

26. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
An arc is a portion of a circumference of a circle.
Positive or Negative
An infinite set.
18

27. For any number x
x²-2xy+y²
Can be negative - zero - or positive
Pi is the ratio of a circle'S circumference to its diameter.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

28. What is the graph of f(x) shifted downward c units or spaces?
Even
F(x) - c
Its divisible by 2 and by 3.
Yes - like radicals can be added/subtracted.

29. Legs: 3 - 4. Hypotenuse?
180
0
x²-2xy+y²
5

30. 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?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
P(E) = number of favorable outcomes/total number of possible outcomes
Ø Ø=Ø
10! / 3!(10-3)! = 120

31. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
1:1:sqrt2
Straight Angle
180 degrees

32. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
N! / (k!)(n-k)!
9 : 25
D=rt so r= d/t and t=d/r

33. How to recognize a # as a multiple of 3
(a - b)(a + b)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P=4s (s=side)
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)

34. 30 60 90
2^9 / 2 = 256
x - x(SR3) - 2x
48
Add them. i.e. (5^7) * (5^3) = 5^10

35. What are the integers?
x^(2(4)) =x^8 = (x^4)^2
x^(4+7) = x^11
All numbers multiples of 1.
The point of intersection of the systems.

36. The Denominator can never
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)
F(x + c)
Be Zero!
An is positive

37. -3²
288 (8 9 4)
y = 2x^2 - 3
9
The direction of the inequality is reversed.

38. 70 < all primes< 80
9
A chord is a line segment joining two points on a circle.
13pi / 2
71 - 73 - 79

39. What is the maximum value for the function g(x) = (-2x^2) -1?
The steeper the slope.
1
x²-2xy+y²
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)

40. The product of odd number of negative numbers
$11 -448
Negative
(a + b)^2
Null

41. What is a finite set?
180
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Infinite.
A set with a number of elements which can be counted.

42. The Perimeter of a Square
52
P=4s (s=side)
1:sqrt3:2
Positive

43. Consecutive integers
x²-2xy+y²
Move the decimal point to the right x places
6 : 1 : 2
x - x+1 - x+2

44. What is the 'Solution' for a set of inequalities.
D/t (distance)/(time)
The sum of its digits is divisible by 3.
The overlapping sections.
Every number

45. bn
N! / (n-k)!
B?b?b (where b is used as a factor n times)
An arc is a portion of a circumference of a circle.
A set with no members - denoted by a circle with a diagonal through it.

46. What are 'Supplementary angles?'
Two angles whose sum is 180.
V=side³
53 - 59
Positive

47. Evaluate 4/11 + 11/12
7 / 1000
Its divisible by 2 and by 3.
1 & 37/132
The steeper the slope.

48. Ø Is neither
NOT A PRIME
288 (8 9 4)
83.333%
Positive or Negative

49. Ø is
(n-2) x 180
Even
Two angles whose sum is 180.
Diameter(Pi)

50. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A = pi(r^2)
A reflection about the origin.
The greatest value minus the smallest.
3x - 4x - 5x