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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. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A+c<b+c
An infinite set.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

2. Area of a circle
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A multiple of every integer
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(pi)r²

3. Time
3
360/n
(distance)/(rate) d/r
A-b is negative

4. Volume of a rectangular box
V=Lwh
The longest arc between points A and B on a circle'S diameter.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A= (1/2) b*h

5. The Perimeter of a rectangle
72
P=2(l+w)
Even prime number
360°

6. (x-y)²
6
x²-2xy+y²
(amount of decrease/original price) x 100%
A= (1/2) b*h

7. A number is divisible by 4 is...
37.5%
F(x + c)
2
Its last two digits are divisible by 4.

8. 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
1:sqrt3:2
The sum of the digits is a multiple of 9.
A=½bh

9. Find the surface area of a cylinder with radius 3 and height 12.
Ab-ac
Two (Ø×2=Ø)
90pi
6

10. a^0 =
Two angles whose sum is 90.
1
A²+b²=c²
F(x) + c

11. 1 is an
(n-2) x 180
0
ODD number
N! / (k!)(n-k)!

12. X is the opposite of
Sector area = (n/360) X (pi)r^2
(base*height) / 2
4a^2(b)
X

13. 25+2³
28
X
13
Ø

14. What is the maximum value for the function g(x) = (-2x^2) -1?
1
The set of output values for a function.
An arc is a portion of a circumference of a circle.
360°

15. Ø is
7 / 1000
55%
3
Even

16. In any polygon - all external angles equal up to
61 - 67
Positive or Negative
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.
360°

17. Factor a^2 + 2ab + b^2
1.0843 X 10^11
Indeterminable.
(a + b)^2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

18. Describe the relationship between 3x^2 and 3(x - 1)^2
= (actual decrease/Original amount) x 100%
360°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1.7

19. Area of a rectangle
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
3
10! / 3!(10-3)! = 120
A = length x width

20. -3³
1
130pi
10! / (10-3)! = 720
27

21. Pi is a ratio of what to what?

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22. Formula to calculate arc length?
angle that is greater than 90° but less than 180°
C = 2(pi)r
Arc length = (n/360) x pi(2r) where n is the number of degrees.
12sqrt2

23. If a<b - then
x^(6-3) = x^3
A+c<b+c
V=l×w×h
27

24. (a^-1)/a^5
180
1/a^6
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Sector area = (n/360) X (pi)r^2

25. If a is inversely porportional to b - what does it equal?
500
Ab=k (k is a constant)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Lies opposite the greater angle

26. 1/6 in percent?
The direction of the inequality is reversed.
1
Do not have slopes!
16.6666%

27. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
(x+y)(x+y)
Positive
4725
3 - 4 - 5

28. Write 10 -843 X 10^7 in scientific notation
441000 = 1 10 10 10 21 * 21
1.0843 X 10^11
The steeper the slope.
A = pi(r^2)

29. Important properties of a 30-60-90 triangle?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A grouping of the members within a set based on a shared characteristic.

30. How to recognize a # as a multiple of 3
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)
72
1/2 times 7/3
62.5%

31. Ø Is
13pi / 2
4.25 - 6 - 22
EVEN
Indeterminable.

32. 0^0
288 (8 9 4)
72
Undefined
28. n = 8 - k = 2. n! / k!(n-k)!

33. 5/8 in percent?
12.5%
72
62.5%
6

34. Ø divided by 7
11 - 13 - 17 - 19
3
Ø
Move the decimal point to the right x places

35. Slope given 2 points
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
M= (Y1-Y2)/(X1-X2)
1
(x+y)(x-y)

36. What is the graph of f(x) shifted downward c units or spaces?
P=4s (s=side)
7 / 1000
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
F(x) - c

37. Rate
Can be negative - zero - or positive
D/t (distance)/(time)
72
1 - P(E)

38. 1n
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
x²+2xy+y²
1
C=2 x pi x r OR pi x D

39. 30 60 90
A²+b²=c²
x^(6-3) = x^3
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
5 - 12 - 13

40. What are the real numbers?
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)
... the square of the ratios of the corresponding sides.
6 : 1 : 2
Members or elements

41. Ø Is neither
(p + q)/5
Positive or Negative
Ab=k (k is a constant)
83.333%

42. How many 3-digit positive integers are even and do not contain the digit 4?
A multiple of every integer
The longest arc between points A and B on a circle'S diameter.
The sum of the digits is a multiple of 9.
288 (8 9 4)

43. Simplify (a^2 + b)^2 - (a^2 - b)^2
F(x) - c
(base*height) / 2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4a^2(b)

44. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
67 - 71 - 73
an angle that is less than 90°
441000 = 1 10 10 10 21 * 21

45. What is the 'Solution' for a system of linear equations?
3
3/2 - 5/3
The point of intersection of the systems.
4725

46. 70 < all primes< 80
3x - 4x - 5x
2(pi)r
71 - 73 - 79
A tangent is a line that only touches one point on the circumference of a circle.

47. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
12! / 5!7! = 792
1
Negative

48. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
20.5
2
N! / (n-k)!

49. 2 is the only
Ab+ac
A set with no members - denoted by a circle with a diagonal through it.
Even prime number
EVEN

50. (x-y)(x+y)
x²-y²
The set of output values for a function.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
C = (pi)d