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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. 50 < all primes< 60
N! / (n-k)!
Subtract them. i.e (5^7)/(5^3)= 5^4
A<-b
53 - 59

2. What is an isoceles triangle?
x - x(SR3) - 2x
Two equal sides and two equal angles.
Undefined - because we can'T divide by 0.
1/2 times 7/3

3. Positive integers that have exactly 2 positive divisors are
7 / 1000
Its last two digits are divisible by 4.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Pi is the ratio of a circle'S circumference to its diameter.

4. 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?
55%
All numbers multiples of 1.
A natural number greater than 1 that has no positive divisors other than 1 and itself
N! / (k!)(n-k)!

5. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(length)(width)(height)
x^(6-3) = x^3
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

6. The product of any number x and its reciprocal
1
Two angles whose sum is 180.
90°
23 - 29

7. What is the sum of the angles of a triangle?
Cd
180 degrees
The empty set - denoted by a circle with a diagonal through it.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

8. What is a minor arc?

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9. factored binomial product of (x+y)²
x²+2xy+y²
A = length x width
90°
x^(2(4)) =x^8 = (x^4)^2

10. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The point of intersection of the systems.
D=rt so r= d/t and t=d/r
6
4725

11. Ø²
Do not have slopes!
x^(6-3) = x^3
Ø
F(x + c)

12. What is the area of a regular hexagon with side 6?
Even
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
.0004809 X 10^11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

13. Perimeter of a rectangle
Parallelogram
P= 2L + 2w
The set of elements which can be found in either A or B.
7 / 1000

14. 30 60 90
5
3 - 4 - 5
360°
90°

15. a(b+c)
The objects within a set.
Ab+ac
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...
An infinite set.

16. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
2 & 3/7
1:1:sqrt2
x²-y²

17. x^6 / x^3
x^(6-3) = x^3
0
A+c<b+c
1/a^6

18. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
zero
12.5%
(length)(width)(height)

19. What is the name for a grouping of the members within a set based on a shared characteristic?
A grouping of the members within a set based on a shared characteristic.
Ø
A subset.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

20. If a is positive - an is
x²-2xy+y²
Positive
13
P= 2L + 2w

21. What is the 'Range' of a function?
The set of output values for a function.
Even prime number
1.0843 X 10^11
3 - -3

22. (x+y)²
x²+2xy+y²
1
31 - 37
12sqrt2

23. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
55%
Positive
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

24. The negative exponent x?n is equivalent to what?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
10! / (10-3)! = 720
62.5%

25. A number is divisible by 6 if...
1
Ø
Its divisible by 2 and by 3.
The set of elements which can be found in either A or B.

26. Ø is a multiple of
1 & 37/132
F(x) + c
Every number
A central angle is an angle formed by 2 radii.

27. Ø is a multiple of
The steeper the slope.
Two (Ø×2=Ø)
1.0843 X 10^11
x^(2(4)) =x^8 = (x^4)^2

28. If Event is impossible
A-b is negative
P(E) = ø
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(a - b)(a + b)

29. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Lies opposite the greater angle
Members or elements
2(pi)r

30. What does scientific notation mean?
The interesection of A and B.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A = pi(r^2)
2 & 3/7

31. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
1.0843 X 10^11
Ø
70
V=side³

32. 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?
Negative
1/x
Ab-ac
2.592 kg

33. Which is greater? 27^(-4) or 9^(-8)
(a + b)^2
27^(-4)
Straight Angle
C = (pi)d

34. What is the empty set?
Pi(diameter)
y/x is a constant
A set with no members - denoted by a circle with a diagonal through it.
Lies opposite the greater angle

35. What is the 'union' of A and B?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1/x
The set of elements which can be found in either A or B.
37.5%

36. a/Ø
1 - P(E)
Null
180 degrees
The steeper the slope.

37. 30 60 90
... the square of the ratios of the corresponding sides.
3x - 4x - 5x
3/2 - 5/3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

38. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
1/x
Even prime number
Two equal sides and two equal angles.
2^9 / 2 = 256

39. X is the opposite of
F(x + c)
X
(distance)/(rate) d/r
A reflection about the origin.

40. Time
(distance)/(rate) d/r
1
2 & 3/7
1

41. Perfect Squares 1-15
zero
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3
All numbers multiples of 1.

42. (x-y)(x+y)
x²-y²
Do not have slopes!
1
Ø

43. 60 < all primes <70
3 - 4 - 5
F(x) + c
y = 2x^2 - 3
61 - 67

44. 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?
16.6666%
53 - 59
1.7
500

45. If a lamp increases from $80 to $100 - what is the percent increase?
$11 -448
The set of input values for a function.
(distance)/(rate) d/r
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

46. Formula for the area of a sector of a circle?
Two angles whose sum is 180.
3/2 - 5/3
Sector area = (n/360) X (pi)r^2
12! / 5!7! = 792

47. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
Members or elements
P=2(l+w)
Its last two digits are divisible by 4.

48. If an inequality is multiplied or divided by a negative number....
0
The direction of the inequality is reversed.
x^(2(4)) =x^8 = (x^4)^2
55%

49. Formula to calculate arc length?
A-b is negative
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A central angle is an angle formed by 2 radii.

50. a^2 - b^2 =
Ab=k (k is a constant)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a - b)(a + b)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60