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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 does scientific notation mean?
Subtract them. i.e (5^7)/(5^3)= 5^4
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A=pi*(r^2)
EVEN

2. How many multiples does a given number have?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Infinite.
3/2 - 5/3
(distance)/(rate) d/r

3. (x-y)²
1
90
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
x²-2xy+y²

4. Simplify 9^(1/2) X 4^3 X 2^(-6)?
(n-2) x 180
37.5%
3
(rate)(time) d=rt

5. 25+2³
130pi
M
The two xes after factoring.
28

6. What are the members or elements of a set?
20.5
The objects within a set.
1 & 37/132
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)

7. the measure of a straight angle
180°
.0004809 X 10^11
x^(2(4)) =x^8 = (x^4)^2
1

8. 1/8 in percent?
5 OR -5
12.5%
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)
11 - 13 - 17 - 19

9. Area of a triangle?
12! / 5!7! = 792
1
The union of A and B.
(base*height) / 2

10. The perimeter of a square is 48 inches. The length of its diagonal is:
(length)(width)(height)
No - only like radicals can be added.
12sqrt2
Ø=P(E)=1

11. Important properties of a 30-60-90 triangle?
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
(pi)r²
3 - -3
Move the decimal point to the right x places

12. a>b then a - b is positive or negative?
A-b is positive
37.5%
Lies opposite the greater angle
72

13. Simplify (a^2 + b)^2 - (a^2 - b)^2
Two angles whose sum is 180.
Ø Ø=Ø
The set of output values for a function.
4a^2(b)

14. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(n-2) x 180
70
A = length x width
y = (x + 5)/2

15. bn
12! / 5!7! = 792
Members or elements
67 - 71 - 73
B?b?b (where b is used as a factor n times)

16. The sum of all angles around a point
360°
NOT A PRIME
1
An arc is a portion of a circumference of a circle.

17. a^2 - b^2 =
N! / (n-k)!
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A natural number greater than 1 that has no positive divisors other than 1 and itself
(a - b)(a + b)

18. Distance
Null
F(x-c)
(rate)(time) d=rt
12.5%

19. How to recognize a # as a multiple of 9
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The sum of the digits is a multiple of 9.
Its divisible by 2 and by 3.

20. Area of a triangle
A= (1/2) b*h
Relationship cannot be determined (what if x is negative?)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Two angles whose sum is 180.

21. In a Regular Polygon - the measure of each exterior angle
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.)
Even prime number
360/n
True

22. 30< all primes<40
(b + c)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
31 - 37
500

23. 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
18
y = 2x^2 - 3
(length)(width)(height)
A<-b

24. Factor x^2 - xy + x.
Pi is the ratio of a circle'S circumference to its diameter.
(a + b)^2
x(x - y + 1)
Positive

25. x^6 / x^3
Parallelogram
(x+y)(x+y)
Ø=P(E)=1
x^(6-3) = x^3

26. Area of a circle
2^9 / 2 = 256
M
A=pi*(r^2)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

27. If y is directly proportional to x - what does it equal?
Negative
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
y/x is a constant
(a - b)(a + b)

28. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1.7
Negative

29. x^4 + x^7 =
x^(4+7) = x^11
Sum of digits is a multiple of 3 and the last digit is even.
Smallest positive integer
1.7

30. 2³×7³
(2x7)³
P(E) = number of favorable outcomes/total number of possible outcomes
23 - 29
Negative

31. Volume of a rectangular solid
(length)(width)(height)
The overlapping sections.
Ab-ac
Negative

32. A prime number (or a prime)
Sector area = (n/360) X (pi)r^2
27^(-4)
1/x
A natural number greater than 1 that has no positive divisors other than 1 and itself

33. a/Ø
1
x²-y²
Null
F(x) + c

34. a^2 - b^2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(a - b)(a + b)
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)
... the square of the ratios of the corresponding sides.

35. 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?
The objects within a set.
61 - 67
6 : 1 : 2
75:11

36. X is the opposite of
F(x-c)
X
Undefined - because we can'T divide by 0.
Ø Ø=Ø

37. What are the real numbers?
ODD number
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)
A reflection about the origin.
4096

38. Find distance when given time and rate
Indeterminable.
D=rt so r= d/t and t=d/r
(2x7)³
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)

39. Legs 6 - 8. Hypotenuse?
10
1:1:sqrt2
2sqrt6
1/2 times 7/3

40. Define a 'Term' -
1
A=(base)(height)
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)
6

41. Is 0 even or odd?
A tangent is a line that only touches one point on the circumference of a circle.
A 30-60-90 triangle.
Even
A<-b

42. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
2sqrt6
The sum of its digits is divisible by 3.
The steeper the slope.
$11 -448

43. Product of any number and Ø is
4096
52
Ø
12! / 5!7! = 792

44. First 10 prime #s
1:1:sqrt2
F(x-c)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1 - P(E)

45. How to determine percent decrease?
2²
All numbers multiples of 1.
70
(amount of decrease/original price) x 100%

46. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
Ab=k (k is a constant)
x²+2xy+y²
1 - P(E)

47. formula for the volume of a cube
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
V=side³
Pi is the ratio of a circle'S circumference to its diameter.
4096

48. What are the rational numbers?
Ab+ac
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2sqrt6
1.7

49. What are the smallest three prime numbers greater than 65?
0
67 - 71 - 73
an angle that is less than 90°
Two angles whose sum is 90.

50. Perfect Squares 1-15
ODD number
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
67 - 71 - 73
71 - 73 - 79