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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. 3 is the opposite of
= (actual decrease/Original amount) x 100%
3
53 - 59
Can be negative - zero - or positive

2. What are the irrational numbers?

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3. The consecutive angles in a parallelogram equal
A reflection about the origin.
180°
zero
52

4. Area of a circle
(pi)r²
Diameter(Pi)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
x(x - y + 1)

5. 30 60 90
3 - 4 - 5
6 : 1 : 2
The set of elements which can be found in either A or B.
V=l×w×h

6. 1/8 in percent?
An angle which is supplementary to an interior angle.
70
12.5%
3 - 4 - 5

7. If a is negative and n is even then an is (positive or negative?)
1
An is positive
Infinite.
The set of output values for a function.

8. binomial product of (x+y)²
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(x+y)(x+y)
B?b?b (where b is used as a factor n times)
72

9. If Event is impossible
P(E) = ø
x(x - y + 1)
x²+2xy+y²
Positive or Negative

10. Volume of a cube
28
Edge³
Straight Angle
All numbers multiples of 1.

11. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A=pi*(r^2)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
5

12. formula for the volume of a cube
V=side³
x - x(SR3) - 2x
$3 -500 in the 9% and $2 -500 in the 7%.
zero

13. 0^0
4:5
Undefined
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.)
87.5%

14. 4.809 X 10^7 =
75:11
The sum of the digits is a multiple of 9.
.0004809 X 10^11
12sqrt2

15. What is a chord of a circle?
72
A percent is a fraction whose denominator is 100.
Ø
A chord is a line segment joining two points on a circle.

16. Factor a^2 + 2ab + b^2
Its last two digits are divisible by 4.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a + b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

17. Formula for the area of a circle?
A = pi(r^2)
The direction of the inequality is reversed.
Ø
A natural number greater than 1 that has no positive divisors other than 1 and itself

18. Slope given 2 points
Right
M= (Y1-Y2)/(X1-X2)
The overlapping sections.
(a - b)(a + b)

19. A number is divisible by 3 if ...
2(pi)r
The sum of its digits is divisible by 3.
83.333%
An is positive

20. bn
B?b?b (where b is used as a factor n times)
The shortest arc between points A and B on a circle'S diameter.
Distance=rate×time or d=rt
The point of intersection of the systems.

21. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
5 - 12 - 13
Edge³
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
4725

22. (2²)³
Move the decimal point to the right x places
4725
26
55%

23. Perfect Squares 1-15
P=4s (s=side)
360°
Can be negative - zero - or positive
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

24. To multiply a number by 10^x
28. n = 8 - k = 2. n! / k!(n-k)!
The overlapping sections.
Move the decimal point to the right x places
2sqrt6

25. Area of a triangle?
4096
2(pi)r
A= (1/2) b*h
(base*height) / 2

26. formula for volume of a rectangular solid
V=l×w×h
N! / (n-k)!
3
1 & 37/132

27. 2 is the only
X
Even prime number
A percent is a fraction whose denominator is 100.
A multiple of every integer

28. 50 < all primes< 60
3 - -3
An arc is a portion of a circumference of a circle.
C = (pi)d
53 - 59

29. The only number that is equal to its opposite
N! / (n-k)!
2.592 kg
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Ø Ø=Ø

30. What is a set with no members called?
71 - 73 - 79
The empty set - denoted by a circle with a diagonal through it.
Even
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.

31. How to recognize if a # is a multiple of 12
A percent is a fraction whose denominator is 100.
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
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 prime number

32. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
2sqrt6
18
61 - 67

33. Evaluate 4/11 + 11/12
1/a^6
1 & 37/132
Positive
An is positive

34. A number is divisible by 9 if...
The set of input values for a function.
The set of elements which can be found in either A or B.
The sum of digits is divisible by 9.
An isosceles right triangle.

35. Area of a Parallelogram:
V=Lwh
Two angles whose sum is 90.
Ø
A=(base)(height)

36. What is the 'union' of A and B?
M
The set of elements which can be found in either A or B.
Sector area = (n/360) X (pi)r^2
6

37. 5/8 in percent?
A natural number greater than 1 that has no positive divisors other than 1 and itself
5
1
62.5%

38. Distance
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Pi(diameter)
A reflection about the origin.
(rate)(time) d=rt

39. factored binomial product of (x+y)²
18
x²+2xy+y²
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two equal sides and two equal angles.

40. Slope of any line that goes down as you move from left to right is
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Negative
C=2 x pi x r OR pi x D
10! / 3!(10-3)! = 120

41. Rate
A-b is positive
A reflection about the origin.
D/t (distance)/(time)
P(E) = ø

42. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An infinite set.
1:1:sqrt2

43. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1/a^6
72
F(x) + c

44. 30 60 90
x - x(SR3) - 2x
Undefined - because we can'T divide by 0.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Parallelogram

45. Ø²
Ø
Two angles whose sum is 90.
The set of elements which can be found in either A or B.
Yes - like radicals can be added/subtracted.

46. Consecutive integers
x - x+1 - x+2
Two (Ø×2=Ø)
6
P(E) = ø

47. 1/6 in percent?
1
5
V=Lwh
16.6666%

48. What is the surface area of a cylinder with radius 5 and height 8?
6
130pi
52
x²-y²

49. Ø is a multiple of
An is positive
x(x - y + 1)
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.
Two (Ø×2=Ø)

50. The ratio of the areas of two similar polygons is ...
y/x is a constant
4:5
Its last two digits are divisible by 4.
... the square of the ratios of the corresponding sides.