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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. (2²)³
V=Lwh
26
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)
1/x

2. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
(a - b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Every number
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)

3. bn
x²-y²
(pi)r²
Sum of digits is a multiple of 3 and the last digit is even.
B?b?b (where b is used as a factor n times)

4. 50 < all primes< 60
A set with no members - denoted by a circle with a diagonal through it.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
53 - 59
An isosceles right triangle.

5. 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?
... the square of the ratios of the corresponding sides.
An arc is a portion of a circumference of a circle.
Reciprocal
y = 2x^2 - 3

6. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Ab=k (k is a constant)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

7. The sum of the measures of the n angles in a polygon with n sides
0
(n-2) x 180
An is positive
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.

8. What is a percent?
87.5%
A= (1/2) b*h
A percent is a fraction whose denominator is 100.
3/2 - 5/3

9. Solve the quadratic equation ax^2 + bx + c= 0
5
$11 -448
2 & 3/7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

10. How do you solve proportions? a/b=c/d
52
5
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

11. a^2 - b^2 =
(a - b)(a + b)
3 - 4 - 5
Its last two digits are divisible by 4.
Even

12. 1 is a divisor of
1 - P(E)
$11 -448
Reciprocal
Every number

13. How to find the circumference of a circle which circumscribes a square?
P(E) = ø
Null
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ø Ø=Ø

14. What is the empty set?
y2-y1/x2-x1
A set with no members - denoted by a circle with a diagonal through it.
The greatest value minus the smallest.
C = 2(pi)r

15. One is (a prime or not?)
NOT A PRIME
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
3/2 - 5/3
.0004809 X 10^11

16. What are the integers?
Ø
Two angles whose sum is 180.
Positive
All numbers multiples of 1.

17. 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
500
Ø
9 & 6/7
18

18. Formula to find a circle'S circumference from its diameter?
C = (pi)d
A central angle is an angle formed by 2 radii.
A subset.
A tangent is a line that only touches one point on the circumference of a circle.

19. Ø is a multiple of
Infinite.
Every number
Two equal sides and two equal angles.
Parallelogram

20. formula for distance problems
y2-y1/x2-x1
Distance=rate×time or d=rt
72
An infinite set.

21. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
61 - 67
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
C = 2(pi)r

22. Whats the difference between factors and multiples?
A=(base)(height)
53 - 59
The objects within a set.
Factors are few - multiples are many.

23. The Denominator can never
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
x²-2xy+y²
Be Zero!

24. How many multiples does a given number have?
Infinite.
180
Indeterminable.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

25. Obtuse Angle
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
angle that is greater than 90° but less than 180°
ODD number
The sum of the digits is a multiple of 9.

26. Factor x^2 - xy + x.
37.5%
A<-b
Negative
x(x - y + 1)

27. What is the name of set with a number of elements which cannot be counted?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
An infinite set.
(length)(width)(height)
ODD number

28. 70 < all primes< 80
71 - 73 - 79
= (actual decrease/Original amount) x 100%
The two xes after factoring.
No - only like radicals can be added.

29. What is the set of elements which can be found in either A or B?
Ab-ac
an angle that is less than 90°
The union of A and B.
Ab=k (k is a constant)

30. A number is divisible by 6 if...
(distance)/(rate) d/r
1/x
2sqrt6
Its divisible by 2 and by 3.

31. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
V=l×w×h
4096
360°

32. Ø is
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.
Reciprocal
Even
28

33. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Cd
(a + b)^2
(a + b)^2
A reflection about the axis.

34. -3³
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
An isosceles right triangle.
27
(base*height) / 2

35. binomial product of (x+y)²
Negative
F(x) + c
(a + b)^2
(x+y)(x+y)

36. To multiply a number by 10^x
Move the decimal point to the right x places
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3
Positive or Negative

37. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
(a - b)(a + b)
9 : 25
1
Sector area = (n/360) X (pi)r^2

38. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
Every number
500
A subset.
The sum of the digits is a multiple of 9.

39. To decrease a number by x%
12sqrt2
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
M= (Y1-Y2)/(X1-X2)
1 - P(E)

40. 30 60 90
x^(4+7) = x^11
Ab-ac
A=½bh
3 - 4 - 5

41. If a is inversely porportional to b - what does it equal?
Members or elements
Undefined - because we can'T divide by 0.
180 degrees
Ab=k (k is a constant)

42. 1 is the
C=2 x pi x r OR pi x D
Smallest positive integer
Pi(diameter)
ODD number

43. 1/8 in percent?
The empty set - denoted by a circle with a diagonal through it.
The point of intersection of the systems.
12.5%
28

44. 30 60 90
x - x(SR3) - 2x
A=(base)(height)
62.5%
Triangles with same measure and same side lengths.

45. If the two sides of a triangle are unequal then the longer side.................
1/a^6
3x - 4x - 5x
(rate)(time) d=rt
Lies opposite the greater angle

46. If E is certain
P(E) = 1/1 = 1
1/a^6
an angle that is less than 90°
(a - b)(a + b)

47. What is the area of a regular hexagon with side 6?
(pi)r²
9 & 6/7
90°
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

48. x^2 = 9. What is the value of x?
x^(6-3) = x^3
10! / (10-3)! = 720
3 - -3
Ø=P(E)=1

49. Slope
y2-y1/x2-x1
N! / (k!)(n-k)!
7 / 1000
1 - P(E)

50. Vertical lines
1
y = (x + 5)/2
A subset.
Do not have slopes!

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GRE Math: All In One

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