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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.
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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. Which is greater? 200x^295 or 10x^294?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Relationship cannot be determined (what if x is negative?)
A central angle is an angle formed by 2 radii.
x - x(SR3) - 2x

2. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A set with no members - denoted by a circle with a diagonal through it.
0
The sum of the digits is a multiple of 9.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

3. How to find the circumference of a circle which circumscribes a square?
y = (x + 5)/2
(length)(width)(height)
D=rt so r= d/t and t=d/r
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

4. Distance
(rate)(time) d=rt
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A<-b
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.

5. What number between 70 & 75 - inclusive - has the greatest number of factors?
Two angles whose sum is 180.
Lies opposite the greater angle
A+c<b+c
72

6. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A reflection about the origin.
Diameter(Pi)
C = 2(pi)r

7. The perimeter of a square is 48 inches. The length of its diagonal is:
28. n = 8 - k = 2. n! / k!(n-k)!
A set with a number of elements which can be counted.
Every number
12sqrt2

8. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
Lies opposite the greater angle
6 : 1 : 2
3/2 - 5/3
75:11

9. Consecutive integers
x - x+1 - x+2
X
90°
Right

10. Circumference of a circle
Pi(diameter)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Its last two digits are divisible by 4.
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.

11. The objects in a set are called two names:
70
360°
23 - 29
Members or elements

12. What is the 'union' of A and B?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
20.5
The empty set - denoted by a circle with a diagonal through it.
The set of elements which can be found in either A or B.

13. 1 is an
x²-2xy+y²
F(x) + c
ODD number
70

14. What is the intersection of A and B?
x²-y²
3 - -3
2²
The set of elements found in both A and B.

15. What is the slope of a horizontal line?
23 - 29
Arc length = (n/360) x pi(2r) where n is the number of degrees.
0
Ø

16. Ø is
Infinite.
A multiple of every integer
M
ODD number

17. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
20.5
71 - 73 - 79
(rate)(time) d=rt

18. 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
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1
18
130pi

19. Simplify (a^2 + b)^2 - (a^2 - b)^2
61 - 67
10
All numbers multiples of 1.
4a^2(b)

20. binomial product of (x-y)²
90
... the square of the ratios of the corresponding sides.
(x+y)(x-y)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

21. What is the graph of f(x) shifted downward c units or spaces?
Null
F(x) - c
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
70

22. 3/8 in percent?
Even
37.5%
angle that is greater than 90° but less than 180°
The direction of the inequality is reversed.

23. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The set of elements which can be found in either A or B.
2sqrt6
... the square of the ratios of the corresponding sides.
130pi

24. 30< all primes<40
1:1:sqrt2
(x+y)(x+y)
31 - 37
x²-y²

25. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Triangles with same measure and same side lengths.
The sum of its digits is divisible by 3.
x²-y²
A reflection about the axis.

26. If E is certain
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
P(E) = 1/1 = 1
Add them. i.e. (5^7) * (5^3) = 5^10
4725

27. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Negative
Ø=P(E)=1
70
The interesection of A and B.

28. 4.809 X 10^7 =
180 degrees
12sqrt2
1.0843 X 10^11
.0004809 X 10^11

29. What is the area of a regular hexagon with side 6?
A<-b
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Distance=rate×time or d=rt
1/a^6

30. The product of odd number of negative numbers
M
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A percent is a fraction whose denominator is 100.
Negative

31. -3³
Pi is the ratio of a circle'S circumference to its diameter.
A=½bh
1/2 times 7/3
27

32. The Perimeter of a rectangle
(x+y)(x-y)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
All numbers multiples of 1.
P=2(l+w)

33. What are the roots of the quadrinomial x^2 + 2x + 1?
Members or elements
A=(base)(height)
The two xes after factoring.
1 & 37/132

34. 30 60 90
3x - 4x - 5x
C=2 x pi x r OR pi x D
360°
x^(4+7) = x^11

35. Circumference of a circle
2(pi)r
Ø
The union of A and B.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

36. Ø Is
20.5
180 degrees
360°
EVEN

37. If a is inversely porportional to b - what does it equal?
Infinite.
A= (1/2) b*h
0
Ab=k (k is a constant)

38. -3²
A multiple of every integer
Relationship cannot be determined (what if x is negative?)
9
Undefined - because we can'T divide by 0.

39. formula for distance problems
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Reciprocal
Distance=rate×time or d=rt
The direction of the inequality is reversed.

40. Area of a Parallelogram:
The empty set - denoted by a circle with a diagonal through it.
72
52
A=(base)(height)

41. What is the 'Range' of a function?
A central angle is an angle formed by 2 radii.
360°
The set of output values for a function.
9

42. Which is greater? 27^(-4) or 9^(-8)
288 (8 9 4)
3/2 - 5/3
27^(-4)
F(x + c)

43. In a Regular Polygon - the measure of each exterior angle
P(E) = number of favorable outcomes/total number of possible outcomes
The sum of the digits is a multiple of 9.
360/n
Triangles with same measure and same side lengths.

44. Formula to calculate arc length?
Triangles with same measure and same side lengths.
A = pi(r^2)
Even
Arc length = (n/360) x pi(2r) where n is the number of degrees.

45. 1/6 in percent?
16.6666%
An angle which is supplementary to an interior angle.
P(E) = 1/1 = 1
A percent is a fraction whose denominator is 100.

46. What is a minor arc?

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47. The sum of the angles in a quadrilateral is
(x+y)(x+y)
12! / 5!7! = 792
360°
A=pi*(r^2)

48. 1n
360°
Diameter(Pi)
Undefined
1

49. Reduce: 4.8 : 0.8 : 1.6
M
1
(x+y)(x+y)
6 : 1 : 2

50. If a lamp increases from $80 to $100 - what is the percent increase?
5 - 12 - 13
62.5%
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
6

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GRE Math: All In One

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