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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. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The empty set - denoted by a circle with a diagonal through it.
(distance)/(rate) d/r
4725
13pi / 2

2. factored binomial product of (x+y)²
y2-y1/x2-x1
180
x²+2xy+y²
1 & 37/132

3. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Ø Ø=Ø
A = length x width
(length)(width)(height)

4. Formula to find a circle'S circumference from its radius?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(length)(width)(height)
360°
C = 2(pi)r

5. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
A+c<b+c
C = (pi)d
1.7

6. a^2 - 2ab + b^2
(a - b)^2
Straight Angle
EVEN
(a + b)^2

7. What is a major arc?

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8. (6sqrt3) x (2sqrt5) =
Can be negative - zero - or positive
1:1:sqrt2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2(pi)r

9. A number is divisible by 9 if...
The second graph is less steep.
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 infinite set.
The sum of digits is divisible by 9.

10. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
D=rt so r= d/t and t=d/r
F(x) - c
180°

11. Ø Is
Triangles with same measure and same side lengths.
61 - 67
EVEN
.0004809 X 10^11

12. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
x²+2xy+y²
10! / (10-3)! = 720
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1:1:sqrt2

13. The sum of the measures of the n angles in a polygon with n sides
A= (1/2) b*h
The overlapping sections.
Two (Ø×2=Ø)
(n-2) x 180

14. 25+2³
Every number
360°
P=4s (s=side)
28

15. Volume of a cube
Edge³
Sector area = (n/360) X (pi)r^2
(rate)(time) d=rt
EVEN

16. Important properties of a 30-60-90 triangle?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Parallelogram
Even
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

17. Product of any number and Ø is
Ab+ac
Ø
A=pi*(r^2)
360°

18. formula for area of a triangle
360°
A=½bh
P(E) = number of favorable outcomes/total number of possible outcomes
Parallelogram

19. What is an exterior angle?
N! / (k!)(n-k)!
Every number
An angle which is supplementary to an interior angle.
The set of elements which can be found in either A or B.

20. The product of any number x and its reciprocal
x²+2xy+y²
1
X
V=side³

21. 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.
F(x-c)
72
A= (1/2) b*h

22. What is the 'Range' of a function?
Factors are few - multiples are many.
The set of output values for a function.
y = (x + 5)/2
The longest arc between points A and B on a circle'S diameter.

23. The Denominator can never
Be Zero!
1/2 times 7/3
x²-2xy+y²
A natural number greater than 1 that has no positive divisors other than 1 and itself

24. Ø Is neither
y2-y1/x2-x1
Positive or Negative
A+c<b+c
Yes - like radicals can be added/subtracted.

25. 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.)
2(pi)r
Null
ODD number

26. Ø divided by 7
Ø
55%
53 - 59
441000 = 1 10 10 10 21 * 21

27. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
D/t (distance)/(time)
N! / (k!)(n-k)!
A 30-60-90 triangle.
Indeterminable.

28. If y is directly proportional to x - what does it equal?
y/x is a constant
(a - b)(a + b)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(x+y)(x+y)

29. x^4 + x^7 =
2.592 kg
x^(4+7) = x^11
28. n = 8 - k = 2. n! / k!(n-k)!
27^(-4)

30. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
1 - P(E)
All numbers multiples of 1.
(a + b)^2

31. a/Ø
Can be negative - zero - or positive
Null
A reflection about the axis.
D=rt so r= d/t and t=d/r

32. 2 is the only
A subset.
F(x-c)
(distance)/(rate) d/r
Even prime number

33. What is a subset?
(a - b)(a + b)
A grouping of the members within a set based on a shared characteristic.
A reflection about the axis.
31 - 37

34. Reduce: 4.8 : 0.8 : 1.6
3
Reciprocal
52
6 : 1 : 2

35. Circumference of a Circle
4096
The sum of digits is divisible by 9.
C=2 x pi x r OR pi x D
(pi)r²

36. What is the slope of a vertical line?

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37. Time
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Positive
(distance)/(rate) d/r
x(x - y + 1)

38. Ø is a multiple of
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
Two (Ø×2=Ø)
2²
A reflection about the axis.

39. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A-b is positive
Two (Ø×2=Ø)

40. Factor x^2 - xy + x.
(2x7)³
1
x(x - y + 1)
Factors are few - multiples are many.

41. What is the graph of f(x) shifted right c units or spaces?
A chord is a line segment joining two points on a circle.
6
F(x-c)
1 & 37/132

42. What are the integers?
2.592 kg
All numbers multiples of 1.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1:sqrt3:2

43. 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?
4a^2(b)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1
75:11

44. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
A reflection about the axis.
(x+y)(x-y)
360°

45. When multiplying exponential #s with the same base - you do this to the exponents...
(rate)(time) d=rt
Add them. i.e. (5^7) * (5^3) = 5^10
Arc length = (n/360) x pi(2r) where n is the number of degrees.
$3 -500 in the 9% and $2 -500 in the 7%.

46. (12sqrt15) / (2sqrt5) =
An expression with just one term (-6x - 2a^2)
5 - 12 - 13
Even
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

47. To increase a number by x%
5 OR -5
5
Ø
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

48. How to find the circumference of a circle which circumscribes a square?
A tangent is a line that only touches one point on the circumference of a circle.
F(x) - c
A-b is positive
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

49. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
90pi
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
8

50. What is the order of operations?
12! / 5!7! = 792
Even
The greatest value minus the smallest.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

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GRE Math: All In One

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