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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
9 : 25
Its last two digits are divisible by 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)

2. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
C = 2(pi)r
F(x + c)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

3. A prime number (or a prime)
F(x) + c
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
1 - P(E)
A natural number greater than 1 that has no positive divisors other than 1 and itself

4. If a<b - then
The empty set - denoted by a circle with a diagonal through it.
Cd
A+c<b+c
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

5. The objects in a set are called two names:
x²-y²
A tangent is a line that only touches one point on the circumference of a circle.
Members or elements
A natural number greater than 1 that has no positive divisors other than 1 and itself

6. (12sqrt15) / (2sqrt5) =
Negative
Sum of digits is a multiple of 3 and the last digit is even.
The sum of digits is divisible by 9.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

7. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(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.
The shortest arc between points A and B on a circle'S diameter.
A-b is negative

8. 25^(1/2) or sqrt. 25 =
90°
5 OR -5
Its divisible by 2 and by 3.
x^(4+7) = x^11

9. Describe the relationship between 3x^2 and 3(x - 1)^2
$11 -448
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Subtract them. i.e (5^7)/(5^3)= 5^4
Every number

10. a<b then a - b is positive or negative?
Undefined
A-b is negative
Do not have slopes!
4a^2(b)

11. 30 60 90
x - x(SR3) - 2x
10! / 3!(10-3)! = 120
(a + b)^2
The sum of digits is divisible by 9.

12. What is the 'Solution' for a set of inequalities.
The overlapping sections.
1.0843 X 10^11
The union of A and B.
(a + b)^2

13. Area of a rectangle
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A = length x width
Two equal sides and two equal angles.
(amount of decrease/original price) x 100%

14. Ø divided by 7
Ø
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
An infinite set.
2

15. 6w^2 - w - 15 = 0
3/2 - 5/3
90pi
Two equal sides and two equal angles.
Relationship cannot be determined (what if x is negative?)

16. If Event is impossible
360/n
5 - 12 - 13
P(E) = ø
Pi is the ratio of a circle'S circumference to its diameter.

17. In a rectangle - all angles are
Sector area = (n/360) X (pi)r^2
71 - 73 - 79
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Right

18. What does scientific notation mean?
Two angles whose sum is 180.
360°
180°
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

19. 1 is the
Be Zero!
Smallest positive integer
The greatest value minus the smallest.
1/x

20. What is the set of elements found in both A and B?
The interesection of A and B.
Pi(diameter)
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)
A reflection about the origin.

21. Simplify the expression [(b^2 - c^2) / (b - c)]
48
x(x - y + 1)
(b + c)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

22. What is the 'domain' of a function?
1.7
1.0843 X 10^11
The set of input values for a function.
A=½bh

23. bn
B?b?b (where b is used as a factor n times)
NOT A PRIME
Two (Ø×2=Ø)
Ø Ø=Ø

24. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
.0004809 X 10^11
F(x) + c

25. 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?
True
The sum of its digits is divisible by 3.
52
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

26. Number of degrees in a triangle
Edge³
x^(2(4)) =x^8 = (x^4)^2
180
Even

27. If the two sides of a triangle are unequal then the longer side.................
A subset.
Lies opposite the greater angle
2
2(pi)r

28. 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.)
angle that is greater than 90° but less than 180°
A multiple of every integer
A=pi*(r^2)

29. 1n
(n-2) x 180
P(E) = ø
1
Positive

30. 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?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x²+2xy+y²
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
y = 2x^2 - 3

31. Factor x^2 - xy + x.
$11 -448
x(x - y + 1)
1/x
Smallest positive integer

32. 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?
A natural number greater than 1 that has no positive divisors other than 1 and itself
N! / (n-k)!
1:1:sqrt2
Undefined - because we can'T divide by 0.

33. Volume of a cube
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)
Edge³
A reflection about the origin.
9 & 6/7

34. How to recognize a multiple of 6
360/n
0
Sum of digits is a multiple of 3 and the last digit is even.
Every number

35. What is the ratio of the sides of a 30-60-90 triangle?
y/x is a constant
1:sqrt3:2
55%
P=4s (s=side)

36. 70 < all primes< 80
C=2 x pi x r OR pi x D
A percent is a fraction whose denominator is 100.
71 - 73 - 79
(2x7)³

37. What is the maximum value for the function g(x) = (-2x^2) -1?
The objects within a set.
P= 2L + 2w
1
1/x

38. 30 60 90
5 - 12 - 13
M
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

39. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Undefined
4.25 - 6 - 22
x(x - y + 1)
A=pi*(r^2)

40. 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
90
A percent is a fraction whose denominator is 100.
18
x²+2xy+y²

41. A quadrilateral where two diagonals bisect each other
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/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Parallelogram
10

42. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(distance)/(rate) d/r
26
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

43. 3 is the opposite of
The second graph is less steep.
(x+y)(x-y)
V=Lwh
3

44. 30< all primes<40
Even prime number
31 - 37
An angle which is supplementary to an interior angle.
27

45. A number is divisible by 3 if ...
53 - 59
The sum of its digits is divisible by 3.
x^(4+7) = x^11
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

46. What are the roots of the quadrinomial x^2 + 2x + 1?
An isosceles right triangle.
The two xes after factoring.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2(pi)r

47. X is the opposite of
Even prime number
X
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
3x - 4x - 5x

48. Pythagorean theorem
441000 = 1 10 10 10 21 * 21
83.333%
130pi
A²+b²=c²

49. 1/8 in percent?
12.5%
Straight Angle
Null
Undefined

50. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
9 : 25
EVEN
A set with a number of elements which can be counted.
10! / 3!(10-3)! = 120