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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 company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
Ø
441000 = 1 10 10 10 21 * 21
Its last two digits are divisible by 4.
Ø

2. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
V=l×w×h
2sqrt6
55%

3. If an inequality is multiplied or divided by a negative number....
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The direction of the inequality is reversed.
10! / 3!(10-3)! = 120
The union of A and B.

4. 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 union of A and B.
52
Even
Subtract them. i.e (5^7)/(5^3)= 5^4

5. Simplify 9^(1/2) X 4^3 X 2^(-6)?
(amount of decrease/original price) x 100%
3
P=4s (s=side)
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)

6. 7 divided by Ø
The set of input values for a function.
3 - -3
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Null

7. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
1
Ø
Arc length = (n/360) x pi(2r) where n is the number of degrees.
$11 -448

8. a>b then a - b is positive or negative?
The sum of its digits is divisible by 3.
A-b is positive
P(E) = number of favorable outcomes/total number of possible outcomes
V=l×w×h

9. Reduce: 4.8 : 0.8 : 1.6
y2-y1/x2-x1
A=pi*(r^2)
1 - P(E)
6 : 1 : 2

10. Distance
Infinite.
A 30-60-90 triangle.
(rate)(time) d=rt
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)

11. binomial product of (x+y)(x-y)
1/x
D=rt so r= d/t and t=d/r
x²-y²
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

12. formula for distance problems
X
zero
Distance=rate×time or d=rt
8

13. a^2 - b^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The sum of digits is divisible by 9.
41 - 43 - 47
(a - b)(a + b)

14. What are the integers?
18
13pi / 2
B?b?b (where b is used as a factor n times)
All numbers multiples of 1.

15. 60 < all primes <70
V=side³
61 - 67
71 - 73 - 79
13pi / 2

16. What is the sum of the angles of a triangle?
(pi)r²
5 - 12 - 13
Move the decimal point to the right x places
180 degrees

17. One is (a prime or not?)
Positive
NOT A PRIME
31 - 37
3 - 4 - 5

18. (x^2)^4
3x - 4x - 5x
x(x - y + 1)
x^(2(4)) =x^8 = (x^4)^2
Distance=rate×time or d=rt

19. How many 3-digit positive integers are even and do not contain the digit 4?
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)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
288 (8 9 4)
A percent is a fraction whose denominator is 100.

20. Important properties of a 30-60-90 triangle?
1:1:sqrt2
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
x²-2xy+y²
13pi / 2

21. a^0 =
A set with a number of elements which can be counted.
5 - 12 - 13
441000 = 1 10 10 10 21 * 21
1

22. What is the maximum value for the function g(x) = (-2x^2) -1?
26
EVEN
Cd
1

23. 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.)
The set of elements which can be found in either A or B.
A-b is positive
0

24. (x-y)(x+y)
A tangent is a line that only touches one point on the circumference of a circle.
Parallelogram
Add them. i.e. (5^7) * (5^3) = 5^10
x²-y²

25. (x-y)²
A natural number greater than 1 that has no positive divisors other than 1 and itself
52
An angle which is supplementary to an interior angle.
x²-2xy+y²

26. 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?
23 - 29
N! / (k!)(n-k)!
Smallest positive integer
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

27. 1 is the
1:1:sqrt2
4.25 - 6 - 22
Smallest positive integer
10! / 3!(10-3)! = 120

28. 5x^2 - 35x -55 = 0
41 - 43 - 47
Positive
... the square of the ratios of the corresponding sides.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

29. the slope of a line in y=mx+b
28. n = 8 - k = 2. n! / k!(n-k)!
All numbers multiples of 1.
M
71 - 73 - 79

30. How to determine percent decrease?
360°
(amount of decrease/original price) x 100%
Add them. i.e. (5^7) * (5^3) = 5^10
6

31. x^2 = 9. What is the value of x?
3 - -3
A set with a number of elements which can be counted.
10! / (10-3)! = 720
y = 2x^2 - 3

32. Area of a Parallelogram:
A=(base)(height)
EVEN
N! / (n-k)!
360°

33. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
53 - 59
an angle that is less than 90°
360°

34. binomial product of (x+y)²
(x+y)(x+y)
67 - 71 - 73
75:11
The steeper the slope.

35. Evaluate 3& 2/7 / 1/3
The sum of digits is divisible by 9.
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
27
9 & 6/7

36. In a Rectangle - each angles measures
x(x - y + 1)
1
90°
V=side³

37. First 10 prime #s
Two equal sides and two equal angles.
Pi is the ratio of a circle'S circumference to its diameter.
Right
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

38. 0^0
an angle that is less than 90°
500
Undefined
Null

39. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
37.5%
N! / (n-k)!
F(x) - c
360°

40. Simplify (a^2 + b)^2 - (a^2 - b)^2
A-b is negative
75:11
20.5
4a^2(b)

41. What are congruent triangles?
360°
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.
A reflection about the axis.
Triangles with same measure and same side lengths.

42. If a lamp decreases to $80 - from $100 - what is the decrease in price?
4a^2(b)
1.7
Cd
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

43. a(b+c)
Ab+ac
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)
180

44. Convert 0.7% to a fraction.
Reciprocal
F(x) + c
Two equal sides and two equal angles.
7 / 1000

45. Find the surface area of a cylinder with radius 3 and height 12.
The set of elements found in both A and B.
4096
Every number
90pi

46. What is the set of elements which can be found in either A or B?
72
The longest arc between points A and B on a circle'S diameter.
Smallest positive integer
The union of A and B.

47. (x+y)²
Ø Ø=Ø
x²+2xy+y²
1 & 37/132
1

48. If y is directly proportional to x - what does it equal?
The direction of the inequality is reversed.
y/x is a constant
Lies opposite the greater angle
N! / (n-k)!

49. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Pi(diameter)
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.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

50. If a<b - then
A+c<b+c
180°
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.
The sum of digits is divisible by 9.

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GRE Math: All In One

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