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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. b¹
180 degrees
(a - b)(a + b)
The set of output values for a function.
1

2. The ratio of the areas of two similar polygons is ...
Even prime number
... the square of the ratios of the corresponding sides.
A natural number greater than 1 that has no positive divisors other than 1 and itself
180°

3. (x-y)²
The overlapping sections.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A=½bh
x²-2xy+y²

4. 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))?
Pi(diameter)
An isosceles right triangle.
10
20.5

5. If a<b - then
3x - 4x - 5x
1.7
A+c<b+c
Lies opposite the greater angle

6. Perimeter of a rectangle
(x+y)(x-y)
Ø
P= 2L + 2w
1

7. 5x^2 - 35x -55 = 0
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...
Indeterminable.
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
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

8. bn
6 : 1 : 2
B?b?b (where b is used as a factor n times)
(p + q)/5
13pi / 2

9. formula for volume of a rectangular solid
Move the decimal point to the right x places
V=l×w×h
61 - 67
3

10. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
A subset.
An infinite set.
8
441000 = 1 10 10 10 21 * 21

11. Formula for the area of a circle?
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...
A = pi(r^2)
An is positive
D=rt so r= d/t and t=d/r

12. 3/8 in percent?
A tangent is a line that only touches one point on the circumference of a circle.
37.5%
A<-b
Cd

13. What are the integers?
The set of input values for a function.
6
6 : 1 : 2
All numbers multiples of 1.

14. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
10
1.7
Ø

15. 4.809 X 10^7 =
M
.0004809 X 10^11
NOT A PRIME
x - x(SR3) - 2x

16. What is the intersection of A and B?
Even
The set of elements found in both A and B.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2 & 3/7

17. 30< all primes<40
12sqrt2
.0004809 X 10^11
A reflection about the axis.
31 - 37

18. To increase a number by x%
Pi is the ratio of a circle'S circumference to its diameter.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
zero
48

19. How to determine percent decrease?
(amount of decrease/original price) x 100%
x^(2(4)) =x^8 = (x^4)^2
Factors are few - multiples are many.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

20. Legs 5 - 12. Hypotenuse?
(n-2) x 180
13
1 - P(E)
The shortest arc between points A and B on a circle'S diameter.

21. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
(n-2) x 180
3 - -3
12! / 5!7! = 792
9

22. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
8
x - x(SR3) - 2x
Ø

23. When dividing exponential #s with the same base - you do this to the exponents...
2^9 / 2 = 256
Subtract them. i.e (5^7)/(5^3)= 5^4
(rate)(time) d=rt
2(pi)r

24. a^2 - b^2
(a - b)(a + b)
A<-b
... the square of the ratios of the corresponding sides.
4a^2(b)

25. x^4 + x^7 =
Be Zero!
B?b?b (where b is used as a factor n times)
x^(4+7) = x^11
A set with no members - denoted by a circle with a diagonal through it.

26. 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?
Undefined - because we can'T divide by 0.
Even
x^(4+7) = x^11
75:11

27. Describe the relationship between the graphs of x^2 and (1/2)x^2
The sum of digits is divisible by 9.
The second graph is less steep.
6
A chord is a line segment joining two points on a circle.

28. 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
(a - b)^2
Pi(diameter)
180
Even

29. One is (a prime or not?)
Factors are few - multiples are many.
6
(a - b)(a + b)
NOT A PRIME

30. What is the graph of f(x) shifted downward c units or spaces?
Ab-ac
90
F(x) - c
5 OR -5

31. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
3 - 4 - 5
8
Relationship cannot be determined (what if x is negative?)

32. What does scientific notation mean?
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
V=l×w×h
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Sector area = (n/360) X (pi)r^2

33. Legs: 3 - 4. Hypotenuse?
70
(a - b)^2
5
3 - 4 - 5

34. Which is greater? 64^5 or 16^8
1
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Can be negative - zero - or positive
Two (Ø×2=Ø)

35. Perfect Squares 1-15
Ø=P(E)=1
1
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

36. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
9
Infinite.
8

37. How to recognize a # as a multiple of 4
Cd
zero
Can be negative - zero - or positive
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.)

38. What is the 'union' of A and B?
1
The set of input values for a function.
The set of elements which can be found in either A or B.
90

39. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
D=rt so r= d/t and t=d/r
3
A set with a number of elements which can be counted.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

40. The sum of the angles in a quadrilateral is
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
130pi
360°
Move the decimal point to the right x places

41. How to find the circumference of a circle which circumscribes a square?
Can be negative - zero - or positive
V=side³
(2x7)³
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

42. The larger the absolute value of the slope...
x(x - y + 1)
(x+y)(x+y)
The steeper the slope.
Reciprocal

43. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
F(x) + c
Ø
4725
D/t (distance)/(time)

44. 7/8 in percent?
P(E) = ø
A reflection about the origin.
87.5%
180

45. 25+2³
28
Positive or Negative
x²-2xy+y²
The direction of the inequality is reversed.

46. What are the rational numbers?
Ab-ac
Triangles with same measure and same side lengths.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
62.5%

47. a>b then a - b is positive or negative?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A-b is positive
The set of elements found in both A and B.
D/t (distance)/(time)

48. Solve the quadratic equation ax^2 + bx + c= 0
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
P=2(l+w)
6 : 1 : 2

49. Pi is a ratio of what to what?

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50. If y is directly proportional to x - what does it equal?
(length)(width)(height)
y/x is a constant
Ab-ac
90pi