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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. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
F(x) - c
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
8
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

2. What is the 'Solution' for a system of linear equations?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
D=rt so r= d/t and t=d/r
Ab+ac
The point of intersection of the systems.

3. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1
P=2(l+w)
360°

4. What is the 'Solution' for a set of inequalities.
A = length x width
The overlapping sections.
Its last two digits are divisible by 4.
62.5%

5. How to recognize a multiple of 6
1
13pi / 2
Sum of digits is a multiple of 3 and the last digit is even.
The sum of digits is divisible by 9.

6. What is the set of elements which can be found in either A or B?
The union of A and B.
1
72
Can be negative - zero - or positive

7. What is the measure of an exterior angle of a regular pentagon?
72
A = length x width
An is positive
y = 2x^2 - 3

8. Area of a rectangle
Negative
A = length x width
An arc is a portion of a circumference of a circle.
0

9. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
zero
360°
NOT A PRIME
A 30-60-90 triangle.

10. Probability of E not occurring:
x²-y²
P=4s (s=side)
1 - P(E)
C = (pi)d

11. Define a 'Term' -
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)
180°
An is positive
1

12. What is the 'Range' of a function?
Can be negative - zero - or positive
90
Edge³
The set of output values for a function.

13. How do you solve proportions? a/b=c/d
4a^2(b)
Positive
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Undefined - because we can'T divide by 0.

14. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
Ø
(amount of decrease/original price) x 100%
1/a^6

15. What are the smallest three prime numbers greater than 65?
A+c<b+c
An infinite set.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
67 - 71 - 73

16. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
27^(-4)
(length)(width)(height)
Ø

17. 5/6 in percent?
83.333%
Factors are few - multiples are many.
P(E) = 1/1 = 1
A+c<b+c

18. Number of degrees in a triangle
y = (x + 5)/2
4a^2(b)
180
(n-2) x 180

19. What is a percent?
A percent is a fraction whose denominator is 100.
x²-2xy+y²
6 : 1 : 2
2(pi)r

20. Is 0 even or odd?
A=pi*(r^2)
48
Even
The set of elements found in both A and B.

21. The Perimeter of a rectangle
P=2(l+w)
61 - 67
A grouping of the members within a set based on a shared characteristic.
10

22. How many sides does a hexagon have?
Infinite.
6
Smallest positive integer
28

23. (x-y)²
P=2(l+w)
x²-2xy+y²
2^9 / 2 = 256
75:11

24. Product of any number and Ø is
288 (8 9 4)
Null
The longest arc between points A and B on a circle'S diameter.
Ø

25. 0^0
Undefined
37.5%
(amount of decrease/original price) x 100%
7 / 1000

26. What is a finite set?
x²-y²
A set with a number of elements which can be counted.
41 - 43 - 47
Edge³

27. Vertical lines
70
An infinite set.
Do not have slopes!
C = (pi)d

28. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
10! / (10-3)! = 720
2
Two (Ø×2=Ø)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

29. The sum of all angles around a point
(a - b)^2
360°
Positive
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

30. 3 is the opposite of
130pi
3
Sum of digits is a multiple of 3 and the last digit is even.
x - x+1 - x+2

31. Consecutive integers
The second graph is less steep.
x - x+1 - x+2
2^9 / 2 = 256
an angle that is less than 90°

32. The larger the absolute value of the slope...
A chord is a line segment joining two points on a circle.
The steeper the slope.
Move the decimal point to the right x places
360/n

33. Define a 'monomial'
V=side³
A<-b
An expression with just one term (-6x - 2a^2)
6

34. Evaluate 3& 2/7 / 1/3
9 & 6/7
A= (1/2) b*h
An expression with just one term (-6x - 2a^2)
P(E) = ø

35. Whats the difference between factors and multiples?
Right
Factors are few - multiples are many.
6
x²-y²

36. To decrease a number by x%
1.0843 X 10^11
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Diameter(Pi)
90

37. Describe the relationship between the graphs of x^2 and (1/2)x^2
A²+b²=c²
The interesection of A and B.
M
The second graph is less steep.

38. 1/8 in percent?
Infinite.
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)
Undefined
12.5%

39. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
72
zero
A reflection about the axis.
A 30-60-90 triangle.

40. How many multiples does a given number have?
Infinite.
1
Undefined
y = 2x^2 - 3

41. Area of a triangle
A= (1/2) b*h
87.5%
x²-y²
1/x

42. Area of a circle
2 & 3/7
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)
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
(pi)r²

43. The ratio of the areas of two similar polygons is ...
18
Indeterminable.
... the square of the ratios of the corresponding sides.
F(x + c)

44. Area of a circle
x²+2xy+y²
Positive
A=pi*(r^2)
x^(4+7) = x^11

45. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
The sum of the digits is a multiple of 9.
180
The interesection of A and 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)

46. The important properties of a 45-45-90 triangle?
5
10
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
The overlapping sections.

47. Which is greater? 64^5 or 16^8
70
1:1:sqrt2
(rate)(time) d=rt
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

48. An Angle that'S 180°
x^(2(4)) =x^8 = (x^4)^2
A 30-60-90 triangle.
Straight Angle
F(x) - c

49. the measure of a straight angle
180°
Distance=rate×time or d=rt
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
The set of output values for a function.

50. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
1:sqrt3:2
10! / (10-3)! = 720
V=Lwh