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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. Circumference of a circle
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
2(pi)r
Even prime number
Ø

2. A number is divisible by 9 if...
D/t (distance)/(time)
Straight Angle
The sum of digits is divisible by 9.
12sqrt2

3. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
90°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
y = 2x^2 - 3
x²-y²

4. 30 60 90
5 - 12 - 13
5 OR -5
Ø=P(E)=1
Ab-ac

5. Probability of an Event
The sum of digits is divisible by 9.
3/2 - 5/3
Null
P(E) = number of favorable outcomes/total number of possible outcomes

6. The objects in a set are called two names:
True
Members or elements
P(E) = number of favorable outcomes/total number of possible outcomes
Ø

7. a^0 =
1
13pi / 2
67 - 71 - 73
Negative

8. Evaluate 3& 2/7 / 1/3
A tangent is a line that only touches one point on the circumference of a circle.
= (actual decrease/Original amount) x 100%
The longest arc between points A and B on a circle'S diameter.
9 & 6/7

9. Area of a circle
(pi)r²
A=pi*(r^2)
0
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

10. Simplify the expression [(b^2 - c^2) / (b - c)]
13pi / 2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
= (actual decrease/Original amount) x 100%
(b + c)

11. Area of a circle
A=pi*(r^2)
67 - 71 - 73
Positive
55%

12. the measure of a straight angle
V=l×w×h
180
x - x+1 - x+2
180°

13. What is a set with no members called?
1
360°
The empty set - denoted by a circle with a diagonal through it.
The longest arc between points A and B on a circle'S diameter.

14. When dividing exponential #s with the same base - you do this to the exponents...
5 - 12 - 13
87.5%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Subtract them. i.e (5^7)/(5^3)= 5^4

15. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
1
90°
Ab+ac

16. Slope
Two angles whose sum is 180.
V=side³
M= (Y1-Y2)/(X1-X2)
y2-y1/x2-x1

17. 1 is the
3
1
Smallest positive integer
x²-y²

18. (x+y)²
F(x) + c
90°
x²+2xy+y²
The set of input values for a function.

19. Area of a triangle
A= (1/2) b*h
Diameter(Pi)
Members or elements
A 30-60-90 triangle.

20. 5x^2 - 35x -55 = 0
The second graph is less steep.
The interesection of A and B.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The overlapping sections.

21. What is the set of elements found in both A and B?
The interesection of A and B.
441000 = 1 10 10 10 21 * 21
N! / (n-k)!
zero

22. What is a subset?
A grouping of the members within a set based on a shared characteristic.
V=Lwh
The sum of its digits is divisible by 3.
Ab-ac

23. If a product of two numbers is Ø - one number must be
Ø
A = length x width
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x^(6-3) = x^3

24. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
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.)
Ø Ø=Ø
2(pi)r

25. A number is divisible by 6 if...
360°
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Its divisible by 2 and by 3.
(rate)(time) d=rt

26. 10^6 has how many zeroes?
6
26
(amount of decrease/original price) x 100%
(length)(width)(height)

27. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
P=4s (s=side)
87.5%
The direction of the inequality is reversed.

28. When multiplying exponential #s with the same base - you do this to the exponents...
180°
A 30-60-90 triangle.
26
Add them. i.e. (5^7) * (5^3) = 5^10

29. What is the name of set with a number of elements which cannot be counted?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
An infinite set.
13pi / 2
130pi

30. Ø is
Even
Positive or Negative
M
A-b is negative

31. What is a major arc?

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32. An Angle that'S 180°
180 degrees
Straight Angle
(pi)r²
The shortest arc between points A and B on a circle'S diameter.

33. How to recognize a # as a multiple of 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)
A=(base)(height)
The sum of its digits is divisible by 3.
360°

34. -3²
9
3 - 4 - 5
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
12sqrt2

35. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
1
72
Every number

36. If a is negative and n is even then an is (positive or negative?)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
an angle that is less than 90°
An is positive
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

37. Perimeter of a rectangle
Members or elements
180 degrees
12.5%
P= 2L + 2w

38. a^2 - b^2
The direction of the inequality is reversed.
(a - b)^2
(a - b)(a + b)
The longest arc between points A and B on a circle'S diameter.

39. How many sides does a hexagon have?
500
6
31 - 37
2^9 / 2 = 256

40. To decrease a number by x%
360°
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
V=side³
The set of output values for a function.

41. 6w^2 - w - 15 = 0
Arc length = (n/360) x pi(2r) where n is the number of degrees.
31 - 37
The objects within a set.
3/2 - 5/3

42. A number is divisible by 4 is...
M
1 - P(E)
70
Its last two digits are divisible by 4.

43. 2³×7³
(2x7)³
Cd
1
28. n = 8 - k = 2. n! / k!(n-k)!

44. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
x^(2(4)) =x^8 = (x^4)^2
Factors are few - multiples are many.
A multiple of every integer

45. For any number x
(a - b)^2
A multiple of every integer
3x - 4x - 5x
Can be negative - zero - or positive

46. What percent of 40 is 22?
1
D/t (distance)/(time)
55%
2 & 3/7

47. a^2 + 2ab + b^2
62.5%
2²
(a + b)^2
C=2 x pi x r OR pi x D

48. How to recognize a # as a multiple of 4
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.)
180
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.)
3 - -3

49. One is (a prime or not?)
NOT A PRIME
Do not have slopes!
(b + c)
A=½bh

50. If a lamp decreases to $80 - from $100 - what is the decrease in price?
An angle which is supplementary to an interior angle.
Positive
(base*height) / 2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%