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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. Formula to calculate arc length?
7 / 1000
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.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
An arc is a portion of a circumference of a circle.

2. If a is inversely porportional to b - what does it equal?
(a - b)(a + b)
62.5%
13
Ab=k (k is a constant)

3. x^2 = 9. What is the value of x?
F(x-c)
3 - -3
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)
C = 2(pi)r

4. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
500
Triangles with same measure and same side lengths.
N! / (n-k)!

5. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Ø Ø=Ø
8
20.5
Relationship cannot be determined (what if x is negative?)

6. -3²
x²-y²
10
4.25 - 6 - 22
9

7. b¹
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Every number
1
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)

8. 30 60 90
= (actual decrease/Original amount) x 100%
Reciprocal
5 - 12 - 13
An isosceles right triangle.

9. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
9
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.
Add them. i.e. (5^7) * (5^3) = 5^10
Undefined - because we can'T divide by 0.

10. What are the members or elements of a set?
130pi
The objects within a set.
Ø
A²+b²=c²

11. An Angle that'S 180°
A tangent is a line that only touches one point on the circumference of a circle.
Straight Angle
12! / 5!7! = 792
NOT A PRIME

12. Can you subtract 3sqrt4 from sqrt4?
An arc is a portion of a circumference of a circle.
16.6666%
Yes - like radicals can be added/subtracted.
3 - -3

13. 7 divided by Ø
Cd
F(x) + c
Null
A grouping of the members within a set based on a shared characteristic.

14. Circumference of a circle?
The set of input values for a function.
3
Diameter(Pi)
41 - 43 - 47

15. 25^(1/2) or sqrt. 25 =
2²
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)
Indeterminable.
5 OR -5

16. What is the slope of a vertical line?

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17. A number is divisible by 4 is...
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Its last two digits are divisible by 4.
27

18. binomial product of (x+y)²
Ø
Distance=rate×time or d=rt
(x+y)(x+y)
A 30-60-90 triangle.

19. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
8
N! / (n-k)!
10! / (10-3)! = 720

20. The percent decrease of a quantity
an angle that is less than 90°
= (actual decrease/Original amount) x 100%
Ab-ac
Sum of digits is a multiple of 3 and the last digit is even.

21. The sum of all angles around a point
Even
x²-y²
360°
An isosceles right triangle.

22. formula for volume of a rectangular solid
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
V=l×w×h
180°
28

23. Acute Angle
True
Its divisible by 2 and by 3.
The direction of the inequality is reversed.
an angle that is less than 90°

24. 4.809 X 10^7 =
.0004809 X 10^11
Even
A=(base)(height)
An angle which is supplementary to an interior angle.

25. For any number x
Can be negative - zero - or positive
A = length x width
48
4096

26. Volume of a rectangular solid
Positive or Negative
The sum of the digits is a multiple of 9.
(length)(width)(height)
The direction of the inequality is reversed.

27. 8.84 / 5.2
1.7
A = length x width
Can be negative - zero - or positive
3/2 - 5/3

28. X is the opposite of
1/x
X
x^(4+7) = x^11
Triangles with same measure and same side lengths.

29. If a is positive - an is
Positive
.0004809 X 10^11
(a + b)^2
The greatest value minus the smallest.

30. What is the slope of a horizontal line?
angle that is greater than 90° but less than 180°
0
Ø
Even

31. Slope
37.5%
y2-y1/x2-x1
Two angles whose sum is 90.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

32. Consecutive integers
x - x+1 - x+2
Ø
(pi)r²
Two (Ø×2=Ø)

33. To decrease a number by x%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
90pi
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
ODD number

34. Area of a rectangle
1/x
A = length x width
Ab+ac
C = (pi)d

35. (x-y)(x+y)
Ø
x²-y²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The longest arc between points A and B on a circle'S diameter.

36. 40 < all primes<50
41 - 43 - 47
Ab+ac
3
(2x7)³

37. 30< all primes<40
Factors are few - multiples are many.
3 - 4 - 5
31 - 37
Ab=k (k is a constant)

38. A number is divisible by 6 if...
y = (x + 5)/2
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.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

39. Ø is
Even
Ab=k (k is a constant)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Yes - like radicals can be added/subtracted.

40. 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)]?
A reflection about the axis.
True
The set of elements found in both A and B.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

41. a^2 + 2ab + b^2
D=rt so r= d/t and t=d/r
(a + b)^2
C = 2(pi)r
The interesection of A and B.

42. What is a minor arc?

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43. If a lamp increases from $80 to $100 - what is the percent increase?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(a + b)^2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Parallelogram

44. Describe the relationship between 3x^2 and 3(x - 1)^2
52
(pi)r²
Even
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

45. To multiply a number by 10^x
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.)
52
A percent is a fraction whose denominator is 100.
Move the decimal point to the right x places

46. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
... the square of the ratios of the corresponding sides.
Smallest positive integer
A 30-60-90 triangle.
N! / (k!)(n-k)!

47. If y is directly proportional to x - what does it equal?
13
y/x is a constant
Indeterminable.
An expression with just one term (-6x - 2a^2)

48. What is an isoceles triangle?
An expression with just one term (-6x - 2a^2)
A multiple of every integer
3
Two equal sides and two equal angles.

49. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
27
NOT A PRIME
Cd
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

50. 20<all primes<30
23 - 29
1.7
P(E) = 1/1 = 1
9 & 6/7