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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. Whats the difference between factors and multiples?
Factors are few - multiples are many.
Yes - like radicals can be added/subtracted.
F(x) - c
Infinite.

2. 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)]?
26
1
360°
True

3. In a Regular Polygon - the measure of each exterior angle
The set of input values for a function.
360/n
Be Zero!
A 30-60-90 triangle.

4. What is the ratio of the sides of an isosceles right triangle?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3
1:1:sqrt2

5. To multiply a number by 10^x
Move the decimal point to the right x places
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)
The two xes after factoring.
Positive

6. Ø is
0
Even
4:5
8

7. The product of odd number of negative numbers
The greatest value minus the smallest.
0
37.5%
Negative

8. How do you solve proportions? a/b=c/d
Negative
41 - 43 - 47
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)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

9. Ø²
71 - 73 - 79
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)
Ø
90

10. Define a 'Term' -
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)
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)
P(E) = ø
31 - 37

11. The percent decrease of a quantity
The set of elements which can be found in either A or B.
x²+2xy+y²
The sum of digits is divisible by 9.
= (actual decrease/Original amount) x 100%

12. -3²
9
X
1/x
P(E) = ø

13. X is the opposite of
A-b is positive
52
D/t (distance)/(time)
X

14. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A+c<b+c
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)
F(x-c)

15. the slope of a line in y=mx+b
1/x
M
D/t (distance)/(time)
x - x(SR3) - 2x

16. What is the graph of f(x) shifted upward c units or spaces?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
x²+2xy+y²
Two angles whose sum is 180.
F(x) + c

17. 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?
The two xes after factoring.
2.592 kg
75:11
Can be negative - zero - or positive

18. What is a finite set?
0
20.5
A set with a number of elements which can be counted.
13

19. 0^0
4.25 - 6 - 22
A multiple of every integer
0
Undefined

20. (2²)³
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
26
1 & 37/132
V=side³

21. What is an exterior angle?
Move the decimal point to the right x places
87.5%
An angle which is supplementary to an interior angle.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

22. Find the surface area of a cylinder with radius 3 and height 12.
M
x(x - y + 1)
90pi
500

23. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
90pi
A=½bh
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1/a^6

24. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
0
28. n = 8 - k = 2. n! / k!(n-k)!
Ab-ac
4096

25. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
x²+2xy+y²
1.0843 X 10^11
130pi
180

26. x^4 + x^7 =
(b + c)
An is positive
x^(4+7) = x^11
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

27. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
A=½bh
8
(a - b)(a + b)

28. What is the 'Solution' for a set of inequalities.
F(x + c)
The overlapping sections.
The interesection of A and B.
F(x) - c

29. What percent of 40 is 22?
C = 2(pi)r
55%
Infinite.
(a - b)(a + b)

30. 7/8 in percent?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Pi is the ratio of a circle'S circumference to its diameter.
A chord is a line segment joining two points on a circle.
87.5%

31. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Ab+ac
90
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
9 : 25

32. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
1.7
Negative
D/t (distance)/(time)

33. What is the maximum value for the function g(x) = (-2x^2) -1?
y2-y1/x2-x1
The sum of digits is divisible by 9.
1
10! / 3!(10-3)! = 120

34. A quadrilateral where two diagonals bisect each other
P=2(l+w)
Parallelogram
180
The union of A and B.

35. What is the area of a regular hexagon with side 6?
An expression with just one term (-6x - 2a^2)
A+c<b+c
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
F(x-c)

36. A number is divisible by 9 if...
9 & 6/7
(x+y)(x-y)
The sum of digits is divisible by 9.
2^9 / 2 = 256

37. 30 60 90
3 - 4 - 5
The sum of its digits is divisible by 3.
3
Even

38. Can you add sqrt 3 and sqrt 5?
A-b is negative
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
No - only like radicals can be added.
P=4s (s=side)

39. What is the slope of a vertical line?

40. Volume of a rectangular solid
Right
A-b is negative
(length)(width)(height)
y = (x + 5)/2

41. The product of any number x and its reciprocal
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
F(x + c)
1
D=rt so r= d/t and t=d/r

42. When does a function automatically have a restricted domain (2)?
441000 = 1 10 10 10 21 * 21
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
True
A reflection about the origin.

43. What is the graph of f(x) shifted left c units or spaces?
N! / (k!)(n-k)!
Parallelogram
F(x + c)
(distance)/(rate) d/r

44. What are congruent triangles?
Triangles with same measure and same side lengths.
The set of elements which can be found in either A or B.
Relationship cannot be determined (what if x is negative?)
2.592 kg

45. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
angle that is greater than 90° but less than 180°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
V=Lwh

46. Legs 6 - 8. Hypotenuse?
A-b is negative
Positive
10
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6

47. Probability of Event all cases
4:5
Ø=P(E)=1
8
2^9 / 2 = 256

48. Which is greater? 27^(-4) or 9^(-8)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
M= (Y1-Y2)/(X1-X2)
27^(-4)
Ø Ø=Ø

49. What is the set of elements found in both A and B?
The interesection of A and B.
37.5%
P(E) = ø
20.5

50. What is the 'domain' of a function?
The set of input values for a function.
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.
$11 -448
The set of elements which can be found in either A or B.