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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. What are the real numbers?
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)
Sum of digits is a multiple of 3 and the last digit is even.
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)
A<-b

2. formula for volume of a rectangular solid
x - x+1 - x+2
A set with a number of elements which can be counted.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
V=l×w×h

3. 1/6 in percent?
16.6666%
2.592 kg
an angle that is less than 90°
Undefined - because we can'T divide by 0.

4. How many multiples does a given number have?
Straight Angle
Infinite.
23 - 29
M= (Y1-Y2)/(X1-X2)

5. What is the 'Solution' for a system of linear equations?
9 : 25
Indeterminable.
The point of intersection of the systems.
90pi

6. A prime number (or a prime)
53 - 59
The union of A and B.
A natural number greater than 1 that has no positive divisors other than 1 and itself
= (actual decrease/Original amount) x 100%

7. What is the name for a grouping of the members within a set based on a shared characteristic?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A subset.
A reflection about the origin.
The union of A and B.

8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(amount of decrease/original price) x 100%
8
C = (pi)d
(a + b)^2

9. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
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.
y/x is a constant
Negative

10. What are the irrational numbers?

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11. How to recognize a # as a multiple of 9
Edge³
1/x
The sum of the digits is a multiple of 9.
Distance=rate×time or d=rt

12. the measure of a straight angle
180°
1
Its last two digits are divisible by 4.
2 & 3/7

13. x^2 = 9. What is the value of x?
3 - -3
2
Be Zero!
The sum of digits is divisible by 9.

14. What is the surface area of a cylinder with radius 5 and height 8?
1
130pi
x^(6-3) = x^3
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.)

15. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Negative
Two angles whose sum is 90.
8
A 30-60-90 triangle.

16. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
A=(base)(height)
3
Two angles whose sum is 180.

17. 1 is an
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
ODD number
1:1:sqrt2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

18. Is 0 even or odd?
62.5%
Even
$11 -448
V=side³

19. What are 'Supplementary angles?'
An angle which is supplementary to an interior angle.
Pi is the ratio of a circle'S circumference to its diameter.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Two angles whose sum is 180.

20. What is the maximum value for the function g(x) = (-2x^2) -1?
90pi
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.)
1
87.5%

21. What is the area of a regular hexagon with side 6?
An isosceles right triangle.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1.0843 X 10^11
90pi

22. Legs: 3 - 4. Hypotenuse?
6
5
6 : 1 : 2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

23. 30 60 90
5 - 12 - 13
ODD number
Even
F(x) - c

24. The Perimeter of a rectangle
28. n = 8 - k = 2. n! / k!(n-k)!
Even prime number
P=2(l+w)
Its divisible by 2 and by 3.

25. (x+y)²
y/x is a constant
Do not have slopes!
Ø=P(E)=1
x²+2xy+y²

26. The objects in a set are called two names:
Two angles whose sum is 180.
F(x) + c
Members or elements
The sum of the digits is a multiple of 9.

27. The sum of the angles in a quadrilateral is
1/2 times 7/3
360°
53 - 59
2^9 / 2 = 256

28. Circumference of a circle
The greatest value minus the smallest.
2(pi)r
P(E) = number of favorable outcomes/total number of possible outcomes
1

29. Formula to calculate arc length?
2²
(b + c)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72

30. (12sqrt15) / (2sqrt5) =
x^(4+7) = x^11
441000 = 1 10 10 10 21 * 21
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1.0843 X 10^11

31. Number of degrees in a triangle
180
2^9 / 2 = 256
x^(6-3) = x^3
Do not have slopes!

32. Volume of a rectangular solid
3 - 4 - 5
(length)(width)(height)
Right
A grouping of the members within a set based on a shared characteristic.

33. 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?
67 - 71 - 73
441000 = 1 10 10 10 21 * 21
F(x) + c
EVEN

34. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
A reflection about the axis.
Even
75:11

35. 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?
y = 2x^2 - 3
No - only like radicals can be added.
Distance=rate×time or d=rt
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)

36. (6sqrt3) x (2sqrt5) =
Two equal sides and two equal angles.
180
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A²+b²=c²

37. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
D/t (distance)/(time)
The direction of the inequality is reversed.
All numbers multiples of 1.

38. What is the graph of f(x) shifted right c units or spaces?
y2-y1/x2-x1
F(x-c)
180°
2

39. Find the surface area of a cylinder with radius 3 and height 12.
9 & 6/7
90pi
(a - b)(a + b)
75:11

40. Ø²
The set of elements which can be found in either A or B.
Ø
Add them. i.e. (5^7) * (5^3) = 5^10
360°

41. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
An angle which is supplementary to an interior angle.
75:11
1 & 37/132

42. 1 is the
(p + q)/5
Smallest positive integer
Positive
(2x7)³

43. If a is positive - an is
0
8
A multiple of every integer
Positive

44. Formula for the area of a circle?
Ø=P(E)=1
6 : 1 : 2
V=side³
A = pi(r^2)

45. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
(amount of decrease/original price) x 100%
Positive
9 : 25
55%

46. x^6 / x^3
2sqrt6
x^(6-3) = x^3
1
A = pi(r^2)

47. factored binomial product of (x+y)²
x²+2xy+y²
A = pi(r^2)
Undefined
M

48. Can you simplify sqrt72?
4.25 - 6 - 22
Two (Ø×2=Ø)
Yes - like radicals can be added/subtracted.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

49. Can you subtract 3sqrt4 from sqrt4?
x(x - y + 1)
The direction of the inequality is reversed.
Yes - like radicals can be added/subtracted.
1/x

50. 40 < all primes<50
Every number
72
41 - 43 - 47
3 - 4 - 5