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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. Area of a Parallelogram:
zero
9
3 - -3
A=(base)(height)

2. In any polygon - all external angles equal up to
2^9 / 2 = 256
V=side³
360°
y = 2x^2 - 3

3. a^0 =
1
6
Ø Ø=Ø
A set with no members - denoted by a circle with a diagonal through it.

4. If Event is impossible
A subset.
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
P(E) = ø
Sum of digits is a multiple of 3 and the last digit is even.

5. What are complementary angles?
Two angles whose sum is 90.
A chord is a line segment joining two points on a circle.
Infinite.
A-b is negative

6. -3²
9
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
The set of output values for a function.

7. What is the 'domain' of a function?
55%
Diameter(Pi)
A reflection about the axis.
The set of input values for a function.

8. Ø Is neither
Every number
Positive or Negative
360°
x - x+1 - x+2

9. What are the roots of the quadrinomial x^2 + 2x + 1?
(x+y)(x-y)
x(x - y + 1)
A=½bh
The two xes after factoring.

10. What is the intersection of A and B?
The set of elements found in both A and B.
441000 = 1 10 10 10 21 * 21
A multiple of every integer
12! / 5!7! = 792

11. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
10
(length)(width)(height)
x - x(SR3) - 2x
13pi / 2

12. Formula to find a circle'S circumference from its diameter?
Even
C = (pi)d
F(x + c)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

13. Number of degrees in a triangle
180
Null
2.592 kg
An expression with just one term (-6x - 2a^2)

14. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
P(E) = ø
20.5
16.6666%
70

15. What is the slope of a vertical line?

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16. What percent of 40 is 22?
Ø=P(E)=1
y = 2x^2 - 3
55%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

17. Find the surface area of a cylinder with radius 3 and height 12.
90pi
Straight Angle
1
Null

18. Factor x^2 - xy + x.
The longest arc between points A and B on a circle'S diameter.
x(x - y + 1)
(b + c)
Do not have slopes!

19. Slope of any line that goes down as you move from left to right is
Negative
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
x^(4+7) = x^11
The interesection of A and B.

20. Rate
27^(-4)
D/t (distance)/(time)
83.333%
4096

21. Which is greater? 27^(-4) or 9^(-8)
An isosceles right triangle.
Yes - like radicals can be added/subtracted.
N! / (k!)(n-k)!
27^(-4)

22. 1 is an
ODD number
180
Be Zero!
12! / 5!7! = 792

23. What is an exterior angle?
The sum of digits is divisible by 9.
Ø
An angle which is supplementary to an interior angle.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

24. Dividing by a number is the same as multiplying it by its
Ø
Reciprocal
13
26

25. When does a function automatically have a restricted domain (2)?
1 & 37/132
(a - b)(a + b)
53 - 59
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

26. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
1
The overlapping sections.
x²+2xy+y²

27. What is the set of elements found in both A and B?
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)
Positive or Negative
The interesection of A and B.
4725

28. How to recognize a # as a multiple of 4
NOT A PRIME
V=l×w×h
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.)
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)

29. The sum of all angles around a point
360°
Sum of digits is a multiple of 3 and the last digit is even.
The union of A and B.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

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?
An isosceles right triangle.
10! / 3!(10-3)! = 120
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Triangles with same measure and same side lengths.

31. Volume of a rectangular box
Distance=rate×time or d=rt
V=Lwh
A=½bh
10! / 3!(10-3)! = 120

32. How to recognize if a # is a multiple of 12
V=Lwh
Parallelogram
An angle which is supplementary to an interior 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.)

33. Formula for the area of a sector of a circle?
Every number
Sector area = (n/360) X (pi)r^2
5 OR -5
10! / 3!(10-3)! = 120

34. The negative exponent x?n is equivalent to what?
55%
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
6 : 1 : 2
x²-2xy+y²

35. factored binomial product of (x-y)²
1:1:sqrt2
x²-2xy+y²
an angle that is less than 90°
A=(base)(height)

36. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
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)
x(x - y + 1)
N! / (k!)(n-k)!
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)

37. What is the 'Range' of a series of numbers?
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)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x²-2xy+y²
The greatest value minus the smallest.

38. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
70
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
x²-y²

39. The product of any number x and its reciprocal
Indeterminable.
1
X
Undefined - because we can'T divide by 0.

40. 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?
X
360°
Yes - like radicals can be added/subtracted.
2.592 kg

41. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
A central angle is an angle formed by 2 radii.
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
(x+y)(x-y)

42. What is a chord of a circle?
A set with no members - denoted by a circle with a diagonal through it.
2 & 3/7
A chord is a line segment joining two points on a circle.
360/n

43. 5/8 in percent?
An expression with just one term (-6x - 2a^2)
62.5%
No - only like radicals can be added.
A set with a number of elements which can be counted.

44. In a rectangle - all angles are
180
360/n
Right
ODD number

45. If E is certain
71 - 73 - 79
P(E) = 1/1 = 1
The sum of digits is divisible by 9.
The sum of its digits is divisible by 3.

46. Acute Angle
(x+y)(x+y)
an angle that is less than 90°
Ab-ac
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.)

47. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
3
The overlapping sections.
3/2 - 5/3

48. The Denominator can never
Be Zero!
P(E) = 1/1 = 1
Negative
0

49. Evaluate (4^3)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
4096
Two (Ø×2=Ø)
A subset.

50. How to recognize a # as a multiple of 3
(a - b)(a + b)
x^(6-3) = x^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)
4a^2(b)