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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. What are the roots of the quadrinomial x^2 + 2x + 1?
.0004809 X 10^11
1 - P(E)
The two xes after factoring.
P(E) = ø

2. 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.)
(n-2) x 180
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)
Positive

3. 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)]?
An is positive
C = (pi)d
X
True

4. The objects in a set are called two names:
Ø
The sum of its digits is divisible by 3.
Members or elements
1/x

5. Formula to find a circle'S circumference from its diameter?
F(x-c)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
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.)
C = (pi)d

6. 25+2³
(a - b)(a + b)
A natural number greater than 1 that has no positive divisors other than 1 and itself
28
(x+y)(x-y)

7. Consecutive integers
x - x+1 - x+2
A grouping of the members within a set based on a shared characteristic.
Straight Angle
A = pi(r^2)

8. What is the surface area of a cylinder with radius 5 and height 8?
2
x - x(SR3) - 2x
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
130pi

9. x^2 = 9. What is the value of x?
4a^2(b)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A chord is a line segment joining two points on a circle.
3 - -3

10. What is the ratio of the sides of a 30-60-90 triangle?
(p + q)/5
1:sqrt3:2
x - x(SR3) - 2x
4a^2(b)

11. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
130pi
1
Sector area = (n/360) X (pi)r^2
x - x+1 - x+2

12. How to find the circumference of a circle which circumscribes a square?
27
The set of output values for a function.
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)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

13. What are complementary angles?
Smallest positive integer
Two angles whose sum is 90.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
6

14. (a^-1)/a^5
2²
1/a^6
23 - 29
Null

15. a<b then a - b is positive or negative?
V=Lwh
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1/x
A-b is negative

16. What are congruent triangles?
NOT A PRIME
x²+2xy+y²
Triangles with same measure and same side lengths.
130pi

17. What is the sum of the angles of a triangle?
180 degrees
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)
70
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

18. Dividing by a number is the same as multiplying it by its
Reciprocal
Straight Angle
180 degrees
A<-b

19. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
An angle which is supplementary to an interior angle.
2sqrt6
20.5
1:sqrt3:2

20. A quadrilateral where two diagonals bisect each other
x(x - y + 1)
(p + q)/5
(amount of decrease/original price) x 100%
Parallelogram

21. What are the irrational numbers?

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22. What is a minor arc?

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23. Probability of an Event
P(E) = number of favorable outcomes/total number of possible outcomes
A = length x width
90
A 30-60-90 triangle.

24. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
ODD number
90°
48
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

25. 1 is a divisor of
1
An is positive
Every number
F(x-c)

26. When multiplying exponential #s with the same base - you do this to the exponents...
1.7
Add them. i.e. (5^7) * (5^3) = 5^10
The sum of the digits is a multiple of 9.
(length)(width)(height)

27. Simplify the expression [(b^2 - c^2) / (b - c)]
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
The set of output values for a function.
Two angles whose sum is 180.
(b + c)

28. If a<b - then
70
NOT A PRIME
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A+c<b+c

29. Volume of a rectangular solid
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
V=l×w×h
9 : 25
(length)(width)(height)

30. 30 60 90
3x - 4x - 5x
C = (pi)d
The set of elements which can be found in either A or B.
Ø Ø=Ø

31. If a is negative and n is even then an is (positive or negative?)
A<-b
(length)(width)(height)
An is positive
37.5%

32. 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?
75:11
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)
N! / (k!)(n-k)!
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

33. What are the smallest three prime numbers greater than 65?
Members or elements
P=4s (s=side)
X
67 - 71 - 73

34. Formula for the area of a circle?
A subset.
6
(distance)/(rate) d/r
A = pi(r^2)

35. 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?
Two equal sides and two equal angles.
3/2 - 5/3
90
N! / (k!)(n-k)!

36. factored binomial product of (x-y)²
90
A+c<b+c
0
x²-2xy+y²

37. If a is inversely porportional to b - what does it equal?
Ø
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Sector area = (n/360) X (pi)r^2
Ab=k (k is a constant)

38. Evaluate 4/11 + 11/12
72
Diameter(Pi)
The longest arc between points A and B on a circle'S diameter.
1 & 37/132

39. Circumference of a Circle
12.5%
A<-b
C=2 x pi x r OR pi x D
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

40. What is a subset?
NOT A PRIME
A grouping of the members within a set based on a shared characteristic.
An expression with just one term (-6x - 2a^2)
1

41. Whats the difference between factors and multiples?
Lies opposite the greater angle
Factors are few - multiples are many.
y = (x + 5)/2
Yes - like radicals can be added/subtracted.

42. What is the 'union' of A and B?
23 - 29
The set of elements which can be found in either A or B.
6
Undefined

43. Vertical lines
31 - 37
1:1:sqrt2
55%
Do not have slopes!

44. The Denominator can never
All numbers multiples of 1.
Be Zero!
Can be negative - zero - or positive
The direction of the inequality is reversed.

45. (x-y)²
D=rt so r= d/t and t=d/r
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1.7
x²-2xy+y²

46. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
The two xes after factoring.
A-b is negative
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

47. Simplify 9^(1/2) X 4^3 X 2^(-6)?
A 30-60-90 triangle.
A = length x width
3
72

48. Legs: 3 - 4. Hypotenuse?
5
The sum of its digits is divisible by 3.
The set of elements which can be found in either A or B.
3 - -3

49. Slope
y2-y1/x2-x1
A+c<b+c
62.5%
A percent is a fraction whose denominator is 100.

50. 30< all primes<40
V=Lwh
31 - 37
7 / 1000
72