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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. Slope of any line that goes up from left to right
Positive
67 - 71 - 73
(rate)(time) d=rt
M

2. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
67 - 71 - 73
Sum of digits is a multiple of 3 and the last digit is even.

3. Formula to find a circle'S circumference from its diameter?
C = (pi)d
N! / (n-k)!
An infinite set.
1

4. a^0 =
P=4s (s=side)
1
A grouping of the members within a set based on a shared characteristic.
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)

5. What is the 'union' of A and B?
Right
180 degrees
x²-y²
The set of elements which can be found in either A or B.

6. The Perimeter of a rectangle
3 - 4 - 5
P=2(l+w)
8
Ø Ø=Ø

7. Time
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
180°
(distance)/(rate) d/r
An arc is a portion of a circumference of a circle.

8. Simplify the expression [(b^2 - c^2) / (b - c)]
Straight Angle
(b + c)
Its last two digits are divisible by 4.
2 & 3/7

9. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
1
4725
D=rt so r= d/t and t=d/r
288 (8 9 4)

10. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An infinite set.
C=2 x pi x r OR pi x D
70

11. What are the rational numbers?
A set with a number of elements which can be counted.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Even
P=2(l+w)

12. The Perimeter of a Square
P=4s (s=side)
Even
61 - 67
A set with a number of elements which can be counted.

13. binomial product of (x-y)²
y = (x + 5)/2
(x+y)(x-y)
Subtract them. i.e (5^7)/(5^3)= 5^4
11 - 13 - 17 - 19

14. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
12! / 5!7! = 792
130pi
Ø Ø=Ø

15. Volume of a cube
The union of A and B.
Pi(diameter)
An is positive
Edge³

16. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
360°
Ab=k (k is a constant)
1/x
12! / 5!7! = 792

17. bn
B?b?b (where b is used as a factor n times)
D=rt so r= d/t and t=d/r
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

18. Rate
The interesection of A and B.
D/t (distance)/(time)
180
Null

19. What are the real numbers?
A chord is a line segment joining two points on a circle.
ODD number
zero
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)

20. What is the graph of f(x) shifted right c units or spaces?
Infinite.
Every number
A set with no members - denoted by a circle with a diagonal through it.
F(x-c)

21. (x^2)^4
Lies opposite the greater angle
37.5%
x^(2(4)) =x^8 = (x^4)^2
10! / 3!(10-3)! = 120

22. When does a function automatically have a restricted domain (2)?
71 - 73 - 79
F(x) - c
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
5 OR -5

23. Factor a^2 + 2ab + b^2
(a + b)^2
x - x+1 - x+2
1/x
Smallest positive integer

24. What is the name of set with a number of elements which cannot be counted?
6
(x+y)(x+y)
An infinite set.
41 - 43 - 47

25. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
The union of A and B.
Do not have slopes!
Two (Ø×2=Ø)
An isosceles right triangle.

26. What is the 'domain' of a function?
A multiple of every integer
The set of input values for a function.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
67 - 71 - 73

27. Is 0 even or odd?
Even
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Distance=rate×time or d=rt
9 & 6/7

28. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
2.592 kg
M= (Y1-Y2)/(X1-X2)

29. Can you simplify sqrt72?
8
Even
67 - 71 - 73
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

30. In a Regular Polygon - the measure of each exterior angle
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
360/n
Sector area = (n/360) X (pi)r^2

31. What is an isoceles triangle?
360°
360/n
Two equal sides and two equal angles.
Pi is the ratio of a circle'S circumference to its diameter.

32. x^2 = 9. What is the value of x?
3 - -3
y = 2x^2 - 3
B?b?b (where b is used as a factor n times)
10

33. Distance
x²-2xy+y²
Straight Angle
x²+2xy+y²
(rate)(time) d=rt

34. Number of degrees in a triangle
Right
P(E) = number of favorable outcomes/total number of possible outcomes
(a - b)^2
180

35. If Event is impossible
Add them. i.e. (5^7) * (5^3) = 5^10
(a - b)(a + b)
P(E) = ø
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

36. Slope of any line that goes down as you move from left to right is
Negative
P(E) = ø
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
M= (Y1-Y2)/(X1-X2)

37. In a rectangle - all angles are
Undefined
Right
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
Two angles whose sum is 90.

38. Volume of a rectangular box
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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.)
(amount of decrease/original price) x 100%
V=Lwh

39. How to recognize a multiple of 6
y = 2x^2 - 3
(a - b)^2
Sum of digits is a multiple of 3 and the last digit is even.
4725

40. What is the graph of f(x) shifted upward c units or spaces?
2.592 kg
F(x) + c
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Undefined

41. Area of a Parallelogram:
x²-y²
Even prime number
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A=(base)(height)

42. What is a finite set?
(a - b)^2
6
Sector area = (n/360) X (pi)r^2
A set with a number of elements which can be counted.

43. Area of a circle
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4725
P(E) = number of favorable outcomes/total number of possible outcomes
A=pi*(r^2)

44. 25^(1/2) or sqrt. 25 =
5 OR -5
The overlapping sections.
180
A subset.

45. Convert 0.7% to a fraction.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
1
V=l×w×h
7 / 1000

46. Legs 6 - 8. Hypotenuse?
10
1
10! / (10-3)! = 720
True

47. What number between 70 & 75 - inclusive - has the greatest number of factors?
x²-2xy+y²
A-b is positive
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
72

48. Can you add sqrt 3 and sqrt 5?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
10! / 3!(10-3)! = 120
No - only like radicals can be added.
(b + c)

49. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
90
27
6

50. Dividing by a number is the same as multiplying it by its
1:1:sqrt2
10! / (10-3)! = 720
Members or elements
Reciprocal