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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. Obtuse Angle
angle that is greater than 90° but less than 180°
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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.)
A central angle is an angle formed by 2 radii.

2. x^6 / x^3
P= 2L + 2w
x^(6-3) = x^3
Yes - like radicals can be added/subtracted.
Cd

3. How to recognize a # as a multiple of 9
Members or elements
The sum of the digits is a multiple of 9.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
20.5

4. Vertical lines
The set of input values for a function.
72
Do not have slopes!
0

5. What is a central angle?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A central angle is an angle formed by 2 radii.
Add them. i.e. (5^7) * (5^3) = 5^10
7 / 1000

6. Area of a Parallelogram:
A=(base)(height)
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)
Ab=k (k is a constant)
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.)

7. Circumference of a circle?
Be Zero!
(p + q)/5
x²-y²
Diameter(Pi)

8. a^0 =
Pi(diameter)
1
(n-2) x 180
an angle that is less than 90°

9. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
90°
N! / (n-k)!
Ø
4:5

10. 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))?
Parallelogram
20.5
An expression with just one term (-6x - 2a^2)
3 - -3

11. Factor a^2 + 2ab + b^2
180
(a + b)^2
Every number
Parallelogram

12. Ø is
EVEN
angle that is greater than 90° but less than 180°
1
A multiple of every integer

13. Distance
Two angles whose sum is 90.
(rate)(time) d=rt
Cd
71 - 73 - 79

14. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
No - only like radicals can be added.
Subtract them. i.e (5^7)/(5^3)= 5^4
The sum of its digits is divisible by 3.

15. Probability of Event all cases
Ø=P(E)=1
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The overlapping sections.
130pi

16. What are the members or elements of a set?
Right
The objects within a set.
NOT A PRIME
An isosceles right triangle.

17. Factor x^2 - xy + x.
Straight Angle
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x(x - y + 1)
20.5

18. Formula to find a circle'S circumference from its diameter?
x - x(SR3) - 2x
No - only like radicals can be added.
y = (x + 5)/2
C = (pi)d

19. The product of odd number of negative numbers
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Negative
48

20. factored binomial product of (x-y)²
360/n
x²-2xy+y²
A subset.
x²+2xy+y²

21. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
4:5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1
360°

22. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
A=½bh
441000 = 1 10 10 10 21 * 21
90

23. What is the name for a grouping of the members within a set based on a shared characteristic?
0
Cd
75:11
A subset.

24. Convert 0.7% to a fraction.
7 / 1000
x²-y²
Ø
3 - 4 - 5

25. If a is positive - an is
Positive
D/t (distance)/(time)
A reflection about the origin.
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)

26. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
A chord is a line segment joining two points on a circle.
10! / (10-3)! = 720
An isosceles right triangle.

27. 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)
Add them. i.e. (5^7) * (5^3) = 5^10
y/x is a constant
(base*height) / 2

28. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
A-b is positive
1/x
(a - b)(a + b)
90

29. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Ab-ac
4:5
Every number
The objects within a set.

30. 1 is an
x(x - y + 1)
F(x-c)
Ø Ø=Ø
ODD number

31. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
An expression with just one term (-6x - 2a^2)
The empty set - denoted by a circle with a diagonal through it.
360°

32. To multiply a number by 10^x
Can be negative - zero - or positive
2^9 / 2 = 256
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Move the decimal point to the right x places

33. a/Ø
Null
Factors are few - multiples are many.
A=½bh
1

34. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
180
(a - b)^2
Ø

35. What are complementary angles?
x²-y²
B?b?b (where b is used as a factor n times)
Two angles whose sum is 90.
Move the decimal point to the right x places

36. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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
0
1.7

37. 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
2.592 kg
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Positive or Negative
18

38. What is the measure of an exterior angle of a regular pentagon?
An arc is a portion of a circumference of a circle.
72
The set of elements found in both A and B.
1/x

39. Ø divided by 7
(x+y)(x-y)
No - only like radicals can be added.
Ø
P=4s (s=side)

40. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
V=Lwh
4725
P(E) = number of favorable outcomes/total number of possible outcomes

41. How many sides does a hexagon have?
6
Undefined
Indeterminable.
Even prime number

42. the measure of a straight angle
P=4s (s=side)
Null
180°
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

43. 4.809 X 10^7 =
1:1:sqrt2
.0004809 X 10^11
53 - 59
... the square of the ratios of the corresponding sides.

44. What is the maximum value for the function g(x) = (-2x^2) -1?
Even prime number
Positive
87.5%
1

45. What is the surface area of a cylinder with radius 5 and height 8?
130pi
2(pi)r
8
A grouping of the members within a set based on a shared characteristic.

46. What is the set of elements found in both A and B?
13
The interesection of A and B.
10
360°

47. What are congruent triangles?
A reflection about the origin.
Every number
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Triangles with same measure and same side lengths.

48. What is the graph of f(x) shifted right c units or spaces?
8
F(x-c)
Add them. i.e. (5^7) * (5^3) = 5^10
x - x+1 - x+2

49. binomial product of (x+y)(x-y)
Undefined
x²-y²
10
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

50. Slope given 2 points
9 : 25
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
M= (Y1-Y2)/(X1-X2)
Its divisible by 2 and by 3.