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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Positive integers that have exactly 2 positive divisors are
500
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Indeterminable.
Undefined

2. 1/6 in percent?
1/x
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(p + q)/5
16.6666%

3. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
A=pi*(r^2)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
0
2 & 3/7

4. 1/=null If a>b then
.0004809 X 10^11
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A<-b
Two angles whose sum is 90.

5. Describe the relationship between the graphs of x^2 and (1/2)x^2
1
The second graph is less steep.
Its divisible by 2 and by 3.
61 - 67

6. Simplify the expression [(b^2 - c^2) / (b - c)]
3
(b + c)
8
Cd

7. Rate
D/t (distance)/(time)
The interesection of A and B.
90
Diameter(Pi)

8. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
1 & 37/132
Move the decimal point to the right x places
Pi(diameter)
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.

9. When multiplying exponential #s with the same base - you do this to the exponents...
1
P(E) =
Reciprocal
Add them. i.e. (5^7) * (5^3) = 5^10

10. X is the opposite of
X
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=c
180 degrees

11. (a^-1)/a^5
P= 2L + 2w
(base*height) / 2
1
1/a^6

12. What is an arc of a circle?
Its last two digits are divisible by 4.
y = 2x^2 - 3
The set of output values for a function.
An arc is a portion of a circumference of a circle.

13. What is the side length of an equilateral triangle with altitude 6?
Positive
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...
EVEN
(x+y)(x-y)

14. 30 60 90
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(length)(width)(height)
6
5 - 12 - 13

15. 8.84 / 5.2
1.7
NOT A PRIME
1
F(x) + c

16. bn
B?b?b (where b is used as a factor n times)
500
1
1 - P(E)

17. 6w^2 - w - 15 = 0

2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X
3/2 - 5/3

18. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
Yes - like radicals can be added/subtracted.
P=4s (s=side)
The direction of the inequality is reversed.
10! / (10-3)! = 720

19. Slope of any line that goes down as you move from left to right is
ODD number
Lies opposite the greater angle
V=lwh
Negative

20. Area of a circle
Triangles with same measure and same side lengths.
The interesection of A and B.
5
A=pi*(r^2)

21. 7/8 in percent?

87.5%
Null
1

22. What is a central angle?
1 - P(E)
28. n = 8 - k = 2. n! / k!(n-k)!
The set of elements which can be found in either A or B.
A central angle is an angle formed by 2 radii.

23. If Event is impossible
61 - 67
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.)
P(E) =
Be Zero!

24. What is the set of elements which can be found in either A or B?
The union of A and B.
180
N! / (n-k)!
18

25. 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
12sqrt2
37.5%

26. What is the surface area of a cylinder with radius 5 and height 8?
A-b is positive
x-2xy+y
130pi
A subset.

27. In any polygon - all external angles equal up to
A central angle is an angle formed by 2 radii.
360
1/a^6
(n-2) x 180

28. Convert 0.7% to a fraction.
A-b is negative
7 / 1000
1/2 times 7/3
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)

29. x^6 / x^3
x-y
x^(6-3) = x^3
Two angles whose sum is 90.
6 : 1 : 2

30. In a rectangle - all angles are
Right
The greatest value minus the smallest.
an angle that is less than 90
zero

31. 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?
P= 2L + 2w
6
500
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...

32. How to recognize a # as a multiple of 9
9
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The sum of the digits is a multiple of 9.
An isosceles right triangle.

33. Legs 6 - 8. Hypotenuse?
1/x
7 / 1000
10

34. (x-y)
3
x - x+1 - x+2
x-2xy+y
0

35. What are complementary angles?
x^(6-3) = x^3
Negative
Two angles whose sum is 90.
72

36. Whats the difference between factors and multiples?
All numbers multiples of 1.
Factors are few - multiples are many.
Positive or Negative
2^9 / 2 = 256

37. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1/x
A central angle is an angle formed by 2 radii.
2
1

38. The product of any number x and its reciprocal
F(x + c)
2
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.
1

39. The reciprocal of any non-zero #x is
1/x
P= 2L + 2w
D=rt so r= d/t and t=d/r
Positive

40. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
4096
27
70
Edge

41. Formula to find a circle'S circumference from its radius?
A<-b
1
23 - 29
C = 2(pi)r

42. 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)
(a - b)(a + b)
4.25 - 6 - 22
1/a^6
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.)

43. 3 is the opposite of
A-b is positive
Two (2=)
3
V=side

44. factored binomial product of (x+y)
Negative
A = pi(r^2)
x+2xy+y
M

45. 7 divided by
1
Null
1 - P(E)
48

46. What is the 'union' of A and B?
360
A multiple of every integer
The set of elements which can be found in either A or B.
(x+y)(x-y)

47. 27
(2x7)
A chord is a line segment joining two points on a circle.
27^(-4)
X

48. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
18
1
11 - 13 - 17 - 19
True

49. 1 is the
Smallest positive integer
Two (2=)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
.0004809 X 10^11

50. How to determine percent decrease?
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)
(amount of decrease/original price) x 100%
83.333%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

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