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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. Distance
3
(rate)(time) d=rt
An expression with just one term (-6x - 2a^2)
3 - 4 - 5

2. How to recognize if a # is a multiple of 12
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.)
360°
ODD number
Sum of digits is a multiple of 3 and the last digit is even.

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?
... the square of the ratios of the corresponding sides.
N! / (n-k)!
62.5%
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.

4. What is the area of a regular hexagon with side 6?
360/n
4725
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
72

5. factored binomial product of (x+y)²
The empty set - denoted by a circle with a diagonal through it.
x²+2xy+y²
Relationship cannot be determined (what if x is negative?)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

6. Time
A = pi(r^2)
(a + b)^2
(distance)/(rate) d/r
= (actual decrease/Original amount) x 100%

7. A number is divisible by 4 is...
Its last two digits are divisible by 4.
(pi)r²
A central angle is an angle formed by 2 radii.
3x - 4x - 5x

8. If Event is impossible
P(E) = ø
441000 = 1 10 10 10 21 * 21
Sector area = (n/360) X (pi)r^2
x²+2xy+y²

9. a^2 - 2ab + b^2
(a - b)^2
x²-2xy+y²
Move the decimal point to the right x places
EVEN

10. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
62.5%
10
70
12! / 5!7! = 792

11. a^2 - b^2 =
(a - b)(a + b)
Two equal sides and two equal angles.
13
C = (pi)d

12. formula for area of a triangle
x²-y²
(a - b)(a + b)
A=½bh
3

13. Circumference of a Circle
4725
y2-y1/x2-x1
C=2 x pi x r OR pi x D
Positive

14. the slope of a line in y=mx+b
M
70
The set of output values for a function.
28

15. Legs 6 - 8. Hypotenuse?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
180
10
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

16. What is a set with no members called?
13
Ab-ac
The empty set - denoted by a circle with a diagonal through it.
Yes - like radicals can be added/subtracted.

17. If y is directly proportional to x - what does it equal?
Ab=k (k is a constant)
A=(base)(height)
y/x is a constant
Move the decimal point to the right x places

18. 2 is the only
C=2 x pi x r OR pi x D
26
Pi(diameter)
Even prime number

19. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
An is positive
The set of input values for a function.
Right

20. The reciprocal of any non-zero number is
1/x
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
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Parallelogram

21. 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
y = 2x^2 - 3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
180
1:1:sqrt2

22. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
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.)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A= (1/2) b*h

23. To multiply a number by 10^x
Move the decimal point to the right x places
83.333%
Negative
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

24. Write 10 -843 X 10^7 in scientific notation
(a + b)^2
1
1.0843 X 10^11
13

25. Factor x^2 - xy + x.
Right
180
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
x(x - y + 1)

26. If a is negative and n is even then an is (positive or negative?)
10! / (10-3)! = 720
An is positive
x(x - y + 1)
441000 = 1 10 10 10 21 * 21

27. The larger the absolute value of the slope...
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
26
The steeper the slope.
70

28. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
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)
Its divisible by 2 and by 3.
1
The set of output values for a function.

29. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A²+b²=c²
An expression with just one term (-6x - 2a^2)

30. Probability of Event all cases
Subtract them. i.e (5^7)/(5^3)= 5^4
Ø=P(E)=1
360°
(n-2) x 180

31. Ø is a multiple of
D=rt so r= d/t and t=d/r
Two (Ø×2=Ø)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A = length x width

32. Describe the relationship between the graphs of x^2 and (1/2)x^2
The overlapping sections.
A+c<b+c
The second graph is less steep.
3

33. a(b-c)
7 / 1000
A subset.
x²+2xy+y²
Ab-ac

34. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
x^(2(4)) =x^8 = (x^4)^2
y = 2x^2 - 3
Subtract them. i.e (5^7)/(5^3)= 5^4
x²-2xy+y²

35. The ratio of the areas of two similar polygons is ...
28
3
... the square of the ratios of the corresponding sides.
x²-y²

36. (6sqrt3) x (2sqrt5) =
A natural number greater than 1 that has no positive divisors other than 1 and itself
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Every number
A reflection about the axis.

37. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
y/x is a constant
x^(6-3) = x^3
A reflection about the origin.
288 (8 9 4)

38. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
y = (x + 5)/2
A reflection about the axis.
x(x - y + 1)
X

39. X is the opposite of
(p + q)/5
V=Lwh
X
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

40. Which is greater? 27^(-4) or 9^(-8)
41 - 43 - 47
27^(-4)
P(E) = number of favorable outcomes/total number of possible outcomes
A= (1/2) b*h

41. 2³×7³
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
0
A natural number greater than 1 that has no positive divisors other than 1 and itself
(2x7)³

42. Slope
y2-y1/x2-x1
1/x
All numbers multiples of 1.
441000 = 1 10 10 10 21 * 21

43. How many multiples does a given number have?
Infinite.
The set of input values for a function.
Ø
180

44. Define an 'expression'.
3 - -3
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)
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.
x^(2(4)) =x^8 = (x^4)^2

45. The negative exponent x?n is equivalent to what?
12! / 5!7! = 792
The point of intersection of the systems.
(x+y)(x+y)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

46. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
130pi

47. 1 is the
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
Positive
(length)(width)(height)
Smallest positive integer

48. The sum of the angles in a quadrilateral is
(distance)/(rate) d/r
2²
Infinite.
360°

49. Convert 0.7% to a fraction.
28. n = 8 - k = 2. n! / k!(n-k)!
Diameter(Pi)
B?b?b (where b is used as a factor n times)
7 / 1000

50. What is the set of elements found in both A and B?
The interesection of A and B.
A grouping of the members within a set based on a shared characteristic.
18
1