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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. The objects in a set are called two names:
Two angles whose sum is 180.
Members or elements
27
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

2. Is 0 even or odd?
Its last two digits are divisible by 4.
A set with a number of elements which can be counted.
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.)
Even

3. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
y/x is a constant
180°
A multiple of every integer

4. Reduce: 4.8 : 0.8 : 1.6
4096
Sum of digits is a multiple of 3 and the last digit is even.
6 : 1 : 2
(length)(width)(height)

5. What are the integers?
52
Null
All numbers multiples of 1.
x²-2xy+y²

6. The reciprocal of any non-zero #x is
A set with a number of elements which can be counted.
The sum of digits is divisible by 9.
1/x
X

7. If a is positive - an is
The two xes after factoring.
Positive
180°
360/n

8. What is the measure of an exterior angle of a regular pentagon?
(a - b)^2
72
Every number
4725

9. 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
360/n
31 - 37
P=4s (s=side)

10. 0^0
(n-2) x 180
Undefined
3/2 - 5/3
48

11. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
(amount of decrease/original price) x 100%
Ab+ac
A multiple of every integer

12. b¹
Smallest positive integer
A = length x width
1
P(E) = ø

13. If a product of two numbers is Ø - one number must be
x - x+1 - x+2
A percent is a fraction whose denominator is 100.
Ø
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

14. Convert 0.7% to a fraction.
1:1:sqrt2
180°
Positive or Negative
7 / 1000

15. Factor a^2 + 2ab + b^2
75:11
360/n
(p + q)/5
(a + b)^2

16. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Undefined
A chord is a line segment joining two points on a circle.
4.25 - 6 - 22
20.5

17. Probability of E not occurring:
V=l×w×h
Ø
1 - P(E)
.0004809 X 10^11

18. What is a minor arc?

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19. Pi is a ratio of what to what?

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20. Vertical lines
27^(-4)
87.5%
11 - 13 - 17 - 19
Do not have slopes!

21. formula for volume of a rectangular solid
V=l×w×h
Negative
P(E) = ø
Cd

22. 5/6 in percent?
83.333%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
180°
Every number

23. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
4096
72
(distance)/(rate) d/r

24. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
x²+2xy+y²
4:5
F(x + c)
C=2 x pi x r OR pi x D

25. How to recognize a # as a multiple of 3
72
All numbers multiples of 1.
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)
A+c<b+c

26. Consecutive integers
27^(-4)
A=½bh
x - x+1 - x+2
A 30-60-90 triangle.

27. factored binomial product of (x+y)²
x²+2xy+y²
55%
Yes - like radicals can be added/subtracted.
Two equal sides and two equal angles.

28. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The direction of the inequality is reversed.
2.592 kg
Ø=P(E)=1

29. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
A tangent is a line that only touches one point on the circumference of a circle.
1
180 degrees

30. (x+y)²
3
ODD number
3x - 4x - 5x
x²+2xy+y²

31. (x-y)(x+y)
A = length x width
The shortest arc between points A and B on a circle'S diameter.
x²-y²
3

32. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
x²+2xy+y²
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(rate)(time) d=rt
$11 -448

33. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
87.5%
20.5
(x+y)(x+y)
4a^2(b)

34. 30 60 90
Add them. i.e. (5^7) * (5^3) = 5^10
(pi)r²
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
3x - 4x - 5x

35. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
(x+y)(x+y)
ODD number
2sqrt6
1/x

36. Pythagorean theorem
Pi is the ratio of a circle'S circumference to its diameter.
1/x
72
A²+b²=c²

37. What are the members or elements of a set?
3
The two xes after factoring.
Ab+ac
The objects within a set.

38. Any Horizontal line slope
an angle that is less than 90°
NOT A PRIME
Its divisible by 2 and by 3.
zero

39. When multiplying exponential #s with the same base - you do this to the exponents...
True
Add them. i.e. (5^7) * (5^3) = 5^10
180°
The objects within a set.

40. The product of any number x and its reciprocal
x^(6-3) = x^3
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
1
13pi / 2

41. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
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.)
12! / 5!7! = 792
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Triangles with same measure and same side lengths.

42. If a<b - then
Its last two digits are divisible by 4.
A+c<b+c
y = 2x^2 - 3
x²+2xy+y²

43. Circumference of a Circle
The longest arc between points A and B on a circle'S diameter.
180°
(length)(width)(height)
C=2 x pi x r OR pi x D

44. 1n
1
1.0843 X 10^11
A subset.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

45. What is a chord of a circle?
The set of input values for a function.
61 - 67
1/2 times 7/3
A chord is a line segment joining two points on a circle.

46. In any polygon - all external angles equal up to
3 - 4 - 5
A grouping of the members within a set based on a shared characteristic.
360°
1

47. Rate
Positive
D/t (distance)/(time)
Every number
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

48. 1 is the
71 - 73 - 79
Smallest positive integer
A tangent is a line that only touches one point on the circumference of a circle.
12sqrt2

49. What is a central angle?
... the square of the ratios of the corresponding sides.
No - only like radicals can be added.
A central angle is an angle formed by 2 radii.
EVEN

50. X is the opposite of
A²+b²=c²
Its last two digits are divisible by 4.
X
(x+y)(x-y)