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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. Can you subtract 3sqrt4 from sqrt4?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Yes - like radicals can be added/subtracted.
A 30-60-90 triangle.
The two xes after factoring.

2. The sum of all angles around a point
26
M= (Y1-Y2)/(X1-X2)
360°
4096

3. Ø is
A multiple of every integer
F(x) - c
EVEN
67 - 71 - 73

4. In a Rectangle - each angles measures
2²
13pi / 2
90°
12! / 5!7! = 792

5. -3²
18
31 - 37
9
The greatest value minus the smallest.

6. binomial product of (x-y)²
(x+y)(x-y)
2
Ø
180°

7. Ø Is neither
Ø
Positive or Negative
3
1 - P(E)

8. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
1
18
(x+y)(x+y)
P(E) = number of favorable outcomes/total number of possible outcomes

9. What is the 'Range' of a function?
Null
The point of intersection of the systems.
The set of output values for a function.
Ø=P(E)=1

10. How do you solve proportions? a/b=c/d
x^(6-3) = x^3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A multiple of every integer
Negative

11. 10<all primes<20
Undefined - because we can'T divide by 0.
28
11 - 13 - 17 - 19
3

12. (2²)³
26
Subtract them. i.e (5^7)/(5^3)= 5^4
P=4s (s=side)
An expression with just one term (-6x - 2a^2)

13. the slope of a line in y=mx+b
The sum of digits is divisible by 9.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
90
M

14. What is the 'Range' of a series of numbers?
90
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Ø Ø=Ø
The greatest value minus the smallest.

15. In a rectangle - all angles are
90
Right
V=side³
x(x - y + 1)

16. The reciprocal of any non-zero number is
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/x
Move the decimal point to the right x places
180

17. What is a percent?
130pi
A percent is a fraction whose denominator is 100.
An isosceles right triangle.
8

18. Perimeter of a rectangle
P= 2L + 2w
31 - 37
180
180 degrees

19. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
.0004809 X 10^11
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
An infinite set.
70

20. Number of degrees in a triangle
Every number
180
(length)(width)(height)
x^(6-3) = x^3

21. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
... the square of the ratios of the corresponding sides.
.0004809 X 10^11
$11 -448

22. A number is divisible by 9 if...
90pi
1
The sum of digits is divisible by 9.
x^(6-3) = x^3

23. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A subset.
1 - P(E)
A reflection about the origin.
A central angle is an angle formed by 2 radii.

24. Factor a^2 + 2ab + b^2
67 - 71 - 73
(a + b)^2
An angle which is supplementary to an interior angle.
angle that is greater than 90° but less than 180°

25. 1/2 divided by 3/7 is the same as
1/2 times 7/3
The sum of digits is divisible by 9.
Two angles whose sum is 90.
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

26. 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?
1/x
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
N! / (k!)(n-k)!
Even

27. a^2 - b^2
(a - b)(a + b)
A=pi*(r^2)
P(E) = ø
ODD number

28. Positive integers that have exactly 2 positive divisors are
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.
0
28
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

29. 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?
V=l×w×h
75:11
Its divisible by 2 and by 3.
(p + q)/5

30. a^2 - b^2 =
$3 -500 in the 9% and $2 -500 in the 7%.
(a - b)(a + b)
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.
A subset.

31. Slope
V=l×w×h
5
P=2(l+w)
y2-y1/x2-x1

32. Ø²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
An angle which is supplementary to an interior angle.
Ø
4.25 - 6 - 22

33. Find distance when given time and rate
Undefined
D=rt so r= d/t and t=d/r
18
28

34. How to recognize a # as a multiple of 4
(a + b)^2
(a - b)(a + b)
Two angles whose sum is 180.
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.)

35. Define an 'expression'.
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)
x²+2xy+y²
12! / 5!7! = 792
1.7

36. Volume of a rectangular solid
C = 2(pi)r
(length)(width)(height)
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)
180 degrees

37. The sum of the measures of the n angles in a polygon with n sides
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
.0004809 X 10^11
10
(n-2) x 180

38. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
3 - 4 - 5
(rate)(time) d=rt
Undefined

39. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
(base*height) / 2
1
Infinite.
x²-y²

40. The larger the absolute value of the slope...
2.592 kg
A set with no members - denoted by a circle with a diagonal through it.
The steeper the slope.
C = 2(pi)r

41. 5/8 in percent?
12.5%
62.5%
(rate)(time) d=rt
52

42. 3/8 in percent?
37.5%
(b + c)
A = length x width
A=pi*(r^2)

43. A number is divisible by 6 if...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Its divisible by 2 and by 3.
Add them. i.e. (5^7) * (5^3) = 5^10

44. The product of odd number of negative numbers
23 - 29
The set of elements which can be found in either A or B.
Right
Negative

45. Ø is
75:11
An expression with just one term (-6x - 2a^2)
F(x) + c
Even

46. Simplify the expression [(b^2 - c^2) / (b - c)]
12.5%
The set of output values for a function.
(b + c)
2(pi)r

47. Whats the difference between factors and multiples?
1
(pi)r²
Factors are few - multiples are many.
.0004809 X 10^11

48. What is the area of a regular hexagon with side 6?
441000 = 1 10 10 10 21 * 21
= (actual decrease/Original amount) x 100%
The two xes after factoring.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

49. Circumference of a circle?
Diameter(Pi)
Every number
P=2(l+w)
F(x) + c

50. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
angle that is greater than 90° but less than 180°
(pi)r²
72