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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. If an inequality is multiplied or divided by a negative number....
(p + q)/5
The union of A and B.
75:11
The direction of the inequality is reversed.

2. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
26
28. n = 8 - k = 2. n! / k!(n-k)!
The set of output values for a function.
3/2 - 5/3

3. Any Horizontal line slope
zero
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A+c<b+c
The sum of digits is divisible by 9.

4. 25^(1/2) or sqrt. 25 =
4a^2(b)
Its last two digits are divisible by 4.
Sector area = (n/360) X (pi)r^2
5 OR -5

5. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
90°
27^(-4)
360°
8

6. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
3
9

7. 3 is the opposite of
The sum of its digits is divisible by 3.
3
288 (8 9 4)
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.

8. What are the irrational numbers?

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9. Perimeter of a rectangle
Ø
P= 2L + 2w
The overlapping sections.
2.592 kg

10. Perfect Squares 1-15
Relationship cannot be determined (what if x is negative?)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1
The steeper the slope.

11. Describe the relationship between the graphs of x^2 and (1/2)x^2
Diameter(Pi)
True
180°
The second graph is less steep.

12. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
x²-2xy+y²
A 30-60-90 triangle.
Triangles with same measure and same side lengths.
The second graph is less steep.

13. Pi is a ratio of what to what?

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14. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
C = (pi)d
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
(p + q)/5

15. Rate
(x+y)(x+y)
The steeper the slope.
A grouping of the members within a set based on a shared characteristic.
D/t (distance)/(time)

16. What is the graph of f(x) shifted downward c units or spaces?
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)
ODD number
Subtract them. i.e (5^7)/(5^3)= 5^4
F(x) - c

17. What is the 'Range' of a series of numbers?
53 - 59
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The greatest value minus the smallest.
A reflection about the origin.

18. The reciprocal of any non-zero #x is
x²+2xy+y²
1/x
P= 2L + 2w
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.

19. Area of a Parallelogram:
F(x-c)
Even prime number
(base*height) / 2
A=(base)(height)

20. x^6 / x^3
M= (Y1-Y2)/(X1-X2)
angle that is greater than 90° but less than 180°
x^(6-3) = x^3
48

21. How to determine percent decrease?
D/t (distance)/(time)
27
(amount of decrease/original price) x 100%
3 - -3

22. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Yes - like radicals can be added/subtracted.
4:5
The shortest arc between points A and B on a circle'S diameter.
C=2 x pi x r OR pi x D

23. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The objects within a set.
2²
5 OR -5

24. How to find the circumference of a circle which circumscribes a square?
Can be negative - zero - or positive
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1.7
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

25. The objects in a set are called two names:
C = 2(pi)r
A 30-60-90 triangle.
Members or elements
D/t (distance)/(time)

26. 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
180
The set of output values for a function.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
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.

27. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
y/x is a constant
71 - 73 - 79
The point of intersection of the systems.

28. The sum of the measures of the n angles in a polygon with n sides
8
The greatest value minus the smallest.
(n-2) x 180
Even prime number

29. What is the name of set with a number of elements which cannot be counted?
A set with no members - denoted by a circle with a diagonal through it.
An infinite set.
360°
The overlapping sections.

30. The sum of the angles in a quadrilateral is
B?b?b (where b is used as a factor n times)
55%
360°
Members or elements

31. P and r are factors of 100. What is greater - pr or 100?
Negative
Ab-ac
Positive or Negative
Indeterminable.

32. 1n
4:5
V=l×w×h
3
1

33. Which is greater? 200x^295 or 10x^294?
180°
Relationship cannot be determined (what if x is negative?)
(x+y)(x+y)
A natural number greater than 1 that has no positive divisors other than 1 and itself

34. What is the 'domain' of a function?
48
Null
The set of input values for a function.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

35. A prime number (or a prime)
Triangles with same measure and same side lengths.
1:1:sqrt2
A natural number greater than 1 that has no positive divisors other than 1 and itself
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.

36. Reduce: 4.8 : 0.8 : 1.6
10! / 3!(10-3)! = 120
6 : 1 : 2
Ø
... the square of the ratios of the corresponding sides.

37. Evaluate (4^3)^2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
F(x) + c
Can be negative - zero - or positive
4096

38. What is the maximum value for the function g(x) = (-2x^2) -1?
360°
55%
1/x
1

39. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
M= (Y1-Y2)/(X1-X2)
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.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1/a^6

40. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(rate)(time) d=rt
A reflection about the origin.
A+c<b+c

41. 1/2 divided by 3/7 is the same as
EVEN
(pi)r²
The longest arc between points A and B on a circle'S diameter.
1/2 times 7/3

42. The product of any number x and its reciprocal
D/t (distance)/(time)
Negative
The sum of the digits is a multiple of 9.
1

43. bn
Every number
B?b?b (where b is used as a factor n times)
1/a^6
Straight Angle

44. If a lamp increases from $80 to $100 - what is the percent increase?
83.333%
6
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Factors are few - multiples are many.

45. The negative exponent x?n is equivalent to what?
1
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Ø

46. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
16.6666%
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Two angles whose sum is 90.
12! / 5!7! = 792

47. Ø Is neither
ODD number
72
62.5%
Positive or Negative

48. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
F(x + c)
y = (x + 5)/2
The set of elements which can be found in either A or B.
(length)(width)(height)

49. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
x^(4+7) = x^11
Straight Angle
70
The longest arc between points A and B on a circle'S diameter.

50. 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?
90
F(x + c)
Every number
N! / (k!)(n-k)!