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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 is the measure of an exterior angle of a regular pentagon?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
An is positive
72
The overlapping sections.

2. b¹
Sector area = (n/360) X (pi)r^2
F(x-c)
1
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

3. 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?
Ab+ac
The set of input values for a function.
N! / (n-k)!
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)

4. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
X
Negative
$3 -500 in the 9% and $2 -500 in the 7%.

5. formula for the volume of a cube
41 - 43 - 47
Undefined
Straight Angle
V=side³

6. Area of a triangle?
A=½bh
x²-y²
(base*height) / 2
The overlapping sections.

7. Volume of a rectangular box
V=Lwh
(a + b)^2
Pi(diameter)
A central angle is an angle formed by 2 radii.

8. The product of odd number of negative numbers
The sum of the digits is a multiple of 9.
Negative
The point of intersection of the systems.
1/a^6

9. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
4a^2(b)
(p + q)/5
1
The direction of the inequality is reversed.

10. Formula to find a circle'S circumference from its diameter?
1/2 times 7/3
C = (pi)d
(pi)r²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

11. Circumference of a circle
An arc is a portion of a circumference of a circle.
Parallelogram
x^(6-3) = x^3
2(pi)r

12. For any number x
Members or elements
Can be negative - zero - or positive
Ab-ac
27^(-4)

13. Slope
y2-y1/x2-x1
y/x is a constant
1
Infinite.

14. 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?
x(x - y + 1)
75:11
Ab=k (k is a constant)
Even prime number

15. What is the set of elements which can be found in either A or B?
180°
The union of A and B.
4:5
90

16. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
130pi
Pi(diameter)
28. n = 8 - k = 2. n! / k!(n-k)!
67 - 71 - 73

17. How do you solve proportions? a/b=c/d
Every number
(distance)/(rate) d/r
NOT A PRIME
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

18. Slope of any line that goes down as you move from left to right is
Reciprocal
55%
EVEN
Negative

19. How to recognize a # as a multiple of 4
A natural number greater than 1 that has no positive divisors other than 1 and itself
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.)
90pi
10

20. What is a finite set?
V=l×w×h
A = length x width
A-b is negative
A set with a number of elements which can be counted.

21. If a is negative and n is even then an is (positive or negative?)
$11 -448
An is positive
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

22. Ø Is neither
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
7 / 1000
5 OR -5
Positive or Negative

23. 30 60 90
288 (8 9 4)
x - x(SR3) - 2x
Distance=rate×time or d=rt
Every number

24. What is an exterior angle?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
N! / (k!)(n-k)!
Edge³
An angle which is supplementary to an interior angle.

25. The product of any number x and its reciprocal
1
x^(2(4)) =x^8 = (x^4)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Every number

26. Write 10 -843 X 10^7 in scientific notation
Lies opposite the greater angle
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Cd
1.0843 X 10^11

27. When multiplying exponential #s with the same base - you do this to the exponents...
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.)
$11 -448
Add them. i.e. (5^7) * (5^3) = 5^10
(length)(width)(height)

28. The consecutive angles in a parallelogram equal
180°
180
The direction of the inequality is reversed.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

29. What is a central angle?
1 - P(E)
3
A central angle is an angle formed by 2 radii.
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)

30. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
x - x+1 - x+2
Infinite.
5 - 12 - 13

31. Slope of any line that goes up from left to right
Undefined - because we can'T divide by 0.
Do not have slopes!
9 : 25
Positive

32. 3/8 in percent?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
9 : 25
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.
37.5%

33. P and r are factors of 100. What is greater - pr or 100?
The union of A and B.
0
Indeterminable.
2

34. Product of any number and Ø is
zero
Ø
A<-b
The longest arc between points A and B on a circle'S diameter.

35. What is the graph of f(x) shifted downward c units or spaces?
Right
F(x) - c
Arc length = (n/360) x pi(2r) where n is the number of degrees.
y = (x + 5)/2

36. 25+2³
28
Can be negative - zero - or positive
18
x - x+1 - x+2

37. 60 < all primes <70
(a + b)^2
61 - 67
1 - P(E)
0

38. a^0 =
18
1
y2-y1/x2-x1
C=2 x pi x r OR pi x D

39. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
360/n
61 - 67
2sqrt6
F(x + c)

40. What number between 70 & 75 - inclusive - has the greatest number of factors?
B?b?b (where b is used as a factor n times)
4725
72
The sum of the digits is a multiple of 9.

41. 70 < all primes< 80
A 30-60-90 triangle.
360/n
71 - 73 - 79
A reflection about the axis.

42. What are congruent triangles?
Triangles with same measure and same side lengths.
C = 2(pi)r
9 : 25
12sqrt2

43. Formula for the area of a circle?
A = pi(r^2)
0
61 - 67
48

44. How many sides does a hexagon have?
Null
6
Can be negative - zero - or positive
26

45. binomial product of (x+y)(x-y)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
500
Members or elements
x²-y²

46. 1 is the
The sum of digits is divisible by 9.
Smallest positive integer
(b + c)
90

47. What are 'Supplementary angles?'
20.5
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)
Two angles whose sum is 180.

48. Formula for the area of a sector of a circle?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x) + c
Sector area = (n/360) X (pi)r^2
Ab+ac

49. 20<all primes<30
A multiple of every integer
A=½bh
A-b is negative
23 - 29

50. Simplify the expression (p^2 - q^2)/ -5(q - p)
41 - 43 - 47
A-b is positive
Ab+ac
(p + q)/5