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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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 are the integers?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x²-2xy+y²
All numbers multiples of 1.
A=(base)(height)

2. 20<all primes<30
31 - 37
23 - 29
M= (Y1-Y2)/(X1-X2)
360°

3. 1 is the
A= (1/2) b*h
Smallest positive integer
1
61 - 67

4. 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)!
31 - 37
3
P(E) = 1/1 = 1

5. Ø divided by 7
Yes - like radicals can be added/subtracted.
Ø
A reflection about the axis.
A=(base)(height)

6. 30< all primes<40
The union of A and B.
31 - 37
180
Pi(diameter)

7. 2 is the only
1
A-b is positive
Even prime number
70

8. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
(a - b)(a + b)
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
V=l×w×h
A set with no members - denoted by a circle with a diagonal through it.

9. What is a central angle?
A multiple of every integer
A<-b
A central angle is an angle formed by 2 radii.
Even prime number

10. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
V=side³
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
y2-y1/x2-x1

11. What is a subset?
90
20.5
angle that is greater than 90° but less than 180°
A grouping of the members within a set based on a shared characteristic.

12. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
5 - 12 - 13
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
An arc is a portion of a circumference of a circle.

13. Dividing by a number is the same as multiplying it by its
Positive
288 (8 9 4)
1
Reciprocal

14. An Angle that'S 180°
(a + b)^2
9
Parallelogram
Straight Angle

15. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
4.25 - 6 - 22
A = pi(r^2)
0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

16. If a<b - then
4096
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Reciprocal
A+c<b+c

17. If a lamp increases from $80 to $100 - what is the percent increase?
Two (Ø×2=Ø)
The second graph is less steep.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
2sqrt6

18. In a Regular Polygon - the measure of each exterior angle
Positive
360/n
x²+2xy+y²
y = 2x^2 - 3

19. How do you solve proportions? a/b=c/d
P(E) = 1/1 = 1
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x^(4+7) = x^11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

20. Distance
9 & 6/7
180 degrees
(rate)(time) d=rt
The sum of digits is divisible by 9.

21. What is the surface area of a cylinder with radius 5 and height 8?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
130pi
71 - 73 - 79
M= (Y1-Y2)/(X1-X2)

22. Evaluate 4/11 + 11/12
M= (Y1-Y2)/(X1-X2)
9
1 & 37/132
10! / 3!(10-3)! = 120

23. Probability of an Event
27^(-4)
Do not have slopes!
An isosceles right triangle.
P(E) = number of favorable outcomes/total number of possible outcomes

24. 40 < all primes<50
The direction of the inequality is reversed.
41 - 43 - 47
Pi is the ratio of a circle'S circumference to its diameter.
Lies opposite the greater angle

25. Legs: 3 - 4. Hypotenuse?
5
(distance)/(rate) d/r
The sum of digits is divisible by 9.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

26. 25+2³
28
The sum of digits is divisible by 9.
(a - b)^2
V=Lwh

27. Time
Edge³
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(distance)/(rate) d/r
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...

28. a(b+c)
Ab+ac
1/2 times 7/3
Ab=k (k is a constant)
Ø

29. (6sqrt3) x (2sqrt5) =
5 - 12 - 13
4.25 - 6 - 22
10
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

30. Number of degrees in a triangle
10! / 3!(10-3)! = 120
180
3x - 4x - 5x
(x+y)(x-y)

31. How to recognize if a # is a multiple of 12
(b + c)
A-b is negative
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
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.)

32. Consecutive integers
x - x+1 - x+2
$11 -448
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
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

33. What is the set of elements found in both A and B?
2 & 3/7
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The interesection of A and B.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

34. The negative exponent x?n is equivalent to what?
(pi)r²
360/n
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The empty set - denoted by a circle with a diagonal through it.

35. Which is greater? 27^(-4) or 9^(-8)
Negative
A = pi(r^2)
1
27^(-4)

36. 7/8 in percent?
2(pi)r
500
87.5%
An infinite set.

37. What are 'Supplementary angles?'
Two angles whose sum is 180.
2sqrt6
Even prime number
Cd

38. The percent decrease of a quantity
360°
6 : 1 : 2
= (actual decrease/Original amount) x 100%
3/2 - 5/3

39. 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?
N! / (k!)(n-k)!
= (actual decrease/Original amount) x 100%
x²-2xy+y²
Yes - like radicals can be added/subtracted.

40. Area of a triangle?
71 - 73 - 79
(base*height) / 2
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)
75:11

41. Circumference of a circle
Even prime number
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2(pi)r
X

42. Write 10 -843 X 10^7 in scientific notation
D/t (distance)/(time)
Undefined - because we can'T divide by 0.
(base*height) / 2
1.0843 X 10^11

43. the measure of a straight angle
67 - 71 - 73
180°
A²+b²=c²
Pi is the ratio of a circle'S circumference to its diameter.

44. Probability of E not occurring:
1 - P(E)
Negative
0
Subtract them. i.e (5^7)/(5^3)= 5^4

45. What is the slope of a vertical line?

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46. What is the empty set?
x²-y²
3 - -3
A set with no members - denoted by a circle with a diagonal through it.
Straight Angle

47. binomial product of (x+y)(x-y)
The sum of its digits is divisible by 3.
x²-y²
x²+2xy+y²
A²+b²=c²

48. 25^(1/2) or sqrt. 25 =
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)
5 OR -5
61 - 67
V=l×w×h

49. 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)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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...
A+c<b+c

50. Area of a rectangle
1/x
A = length x width
3
y = (x + 5)/2

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GRE Math: All In One

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