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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. What is the 'Solution' for a set of inequalities.
The overlapping sections.
A percent is a fraction whose denominator is 100.
A=pi*(r^2)
Even prime number

2. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
The set of input values for a function.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
90pi

3. 1/Ø=null If a>b then
1
A<-b
Two (Ø×2=Ø)
B?b?b (where b is used as a factor n times)

4. Important properties of a 30-60-90 triangle?
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
D/t (distance)/(time)
Its last two digits are divisible by 4.
(b + c)

5. Distance
The sum of the digits is a multiple of 9.
360°
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(rate)(time) d=rt

6. 20<all primes<30
A= (1/2) b*h
23 - 29
Straight Angle
A set with no members - denoted by a circle with a diagonal through it.

7. What is the measure of an exterior angle of a regular pentagon?
72
... the square of the ratios of the corresponding sides.
3/2 - 5/3
(amount of decrease/original price) x 100%

8. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
C = 2(pi)r
A reflection about the axis.
Two equal sides and two equal angles.
NOT A PRIME

9. One is (a prime or not?)
Null
NOT A PRIME
Pi(diameter)
Ab=k (k is a constant)

10. If a is positive - an is
(a - b)(a + b)
y = (x + 5)/2
Positive
1.7

11. 30 60 90
13
3x - 4x - 5x
The steeper the slope.
53 - 59

12. The product of odd number of negative numbers
Negative
An is positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A grouping of the members within a set based on a shared characteristic.

13. Area of a triangle?
Parallelogram
53 - 59
(base*height) / 2
3

14. formula for volume of a rectangular solid
70
V=l×w×h
Its divisible by 2 and by 3.
A 30-60-90 triangle.

15. Ø is
A set with a number of elements which can be counted.
A multiple of every integer
Move the decimal point to the right x places
All numbers multiples of 1.

16. formula for area of a triangle
83.333%
A+c<b+c
5
A=½bh

17. (x-y)²
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
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
Indeterminable.
x²-2xy+y²

18. Solve the quadratic equation ax^2 + bx + c= 0
180°
A central angle is an angle formed by 2 radii.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The second graph is less steep.

19. 1/2 divided by 3/7 is the same as
1/2 times 7/3
The sum of the digits is a multiple of 9.
P= 2L + 2w
y = 2x^2 - 3

20. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
F(x + c)
A reflection about the origin.
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
(x+y)(x+y)

21. Any Horizontal line slope
20.5
Undefined
zero
(a + b)^2

22. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
1/a^6
Ø
23 - 29

23. formula for the volume of a cube
10! / 3!(10-3)! = 120
V=side³
F(x + c)
27

24. How many multiples does a given number have?
Ø
A natural number greater than 1 that has no positive divisors other than 1 and itself
Infinite.
Two angles whose sum is 90.

25. The sum of all angles around a point
360°
x²-y²
41 - 43 - 47
Ø Ø=Ø

26. Ø divided by 7
3 - -3
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)
7 / 1000
Ø

27. To increase a number by x%
P=2(l+w)
Straight Angle
3
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

28. Whats the difference between factors and multiples?
The steeper the slope.
180°
Factors are few - multiples are many.
The set of elements which can be found in either A or B.

29. Area of a circle
C=2 x pi x r OR pi x D
The overlapping sections.
Ø=P(E)=1
A=pi*(r^2)

30. 1 is the
Even
Two angles whose sum is 90.
Smallest positive integer
(p + q)/5

31. Simplify (a^2 + b)^2 - (a^2 - b)^2
90
4a^2(b)
10! / 3!(10-3)! = 120
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

32. Can you subtract 3sqrt4 from sqrt4?
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.
Yes - like radicals can be added/subtracted.
2sqrt6
20.5

33. 2 is the only
Sum of digits is a multiple of 3 and the last digit is even.
Even prime number
2(pi)r
1/x

34. What are complementary angles?
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
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 angles whose sum is 90.
P= 2L + 2w

35. 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
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
18
288 (8 9 4)
x²+2xy+y²

36. factored binomial product of (x-y)²
Its last two digits are divisible by 4.
x²-2xy+y²
Ø
Ø

37. What does scientific notation mean?
x^(6-3) = x^3
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10! / (10-3)! = 720

38. When does a function automatically have a restricted domain (2)?
An arc is a portion of a circumference of a circle.
180 degrees
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
70

39. Write 10 -843 X 10^7 in scientific notation
A = length x width
1.0843 X 10^11
zero
P(E) = number of favorable outcomes/total number of possible outcomes

40. Formula to find a circle'S circumference from its diameter?
28. n = 8 - k = 2. n! / k!(n-k)!
C = (pi)d
2 & 3/7
Do not have slopes!

41. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
Be Zero!
Lies opposite the greater angle
True
72

42. 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?
70
6
P(E) = number of favorable outcomes/total number of possible outcomes
N! / (k!)(n-k)!

43. (x+y)²
28. n = 8 - k = 2. n! / k!(n-k)!
12! / 5!7! = 792
x²+2xy+y²
6 : 1 : 2

44. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
An infinite set.
The set of elements found in both A and B.
Add them. i.e. (5^7) * (5^3) = 5^10

45. A quadrilateral where two diagonals bisect each other
P(E) = number of favorable outcomes/total number of possible outcomes
Negative
The shortest arc between points A and B on a circle'S diameter.
Parallelogram

46. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
The set of elements found in both A and B.
52
1
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.

47. bn
130pi
9
B?b?b (where b is used as a factor n times)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

48. 7 divided by Ø
Null
(distance)/(rate) d/r
M= (Y1-Y2)/(X1-X2)
Ø

49. 1/8 in percent?
(amount of decrease/original price) x 100%
12.5%
Ø
(pi)r²

50. What are the real numbers?
20.5
Edge³
C=2 x pi x r OR pi x D
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)

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GRE Math: All In One

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