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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. (x+y)
A=bh
180
x+2xy+y
61 - 67

2. -3
ODD number
27
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.
A=bh

3. What are the smallest three prime numbers greater than 65?
90pi
Even prime number
x - x+1 - x+2
67 - 71 - 73

4. First 10 prime #s
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.)
Do not have slopes!
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The interesection of A and B.

5. Slope of any line that goes up from left to right
x^(2(4)) =x^8 = (x^4)^2
Positive
x^(6-3) = x^3
x-y

6. The ratio of the areas of two similar polygons is ...
.0004809 X 10^11
... the square of the ratios of the corresponding sides.
A+c<b+c
83.333%

7. Formula for the area of a sector of a circle?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
72
Sector area = (n/360) X (pi)r^2
C=2 x pi x r OR pi x D

8. Evaluate 3& 2/7 / 1/3
The two xes after factoring.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
9 & 6/7
1

9. The objects in a set are called two names:
Members or elements
(b + c)
Positive
90

10. One is (a prime or not?)
Do not have slopes!
NOT A PRIME
Indeterminable.
y/x is a constant

11. Evaluate (4^3)^2
3
The set of output values for a function.
NOT A PRIME
4096

12. Formula to find a circle'S circumference from its diameter?
C = (pi)d
(p + q)/5
A multiple of every integer
The point of intersection of the systems.

13. (a^-1)/a^5
(x+y)(x-y)
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...
Cd
1/a^6

14. How many sides does a hexagon have?
6
No - only like radicals can be added.
3
A tangent is a line that only touches one point on the circumference of a circle.

15. What is an isoceles triangle?
55%
Move the decimal point to the right x places
Null
Two equal sides and two equal angles.

16. Formula for the area of a circle?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
=P(E)=1
Be Zero!
A = pi(r^2)

17. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
An expression with just one term (-6x - 2a^2)
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
A reflection about the axis.

18. is a multiple of
20.5
(distance)/(rate) d/r
M
Every number

19. Important properties of a 30-60-90 triangle?
12sqrt2
1
P(E) = number of favorable outcomes/total number of possible outcomes
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

20. The product of any number x and its reciprocal
1
11 - 13 - 17 - 19
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
8

21. 3 is the opposite of
The greatest value minus the smallest.
3
Two equal sides and two equal angles.
3x - 4x - 5x

22. The sum of the measures of the n angles in a polygon with n sides
90pi
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(n-2) x 180
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

23. Formula to calculate arc length?
$11 -448
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
71 - 73 - 79
Arc length = (n/360) x pi(2r) where n is the number of degrees.

24. What are the real numbers?
The direction of the inequality is reversed.
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)
1:sqrt3:2
12.5%

25. binomial product of (x+y)
P=2(l+w)
=P(E)=1
An arc is a portion of a circumference of a circle.
(x+y)(x+y)

26. factored binomial product of (x-y)
An expression with just one term (-6x - 2a^2)
x-2xy+y
4:5
Lies opposite the greater angle

27. 1/=null If a>b then
M
True
No - only like radicals can be added.
A<-b

28. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Every number
Factors are few - multiples are many.
Positive

29. b
1
(a + b)^2
$11 -448
2(pi)r

30. How to recognize a # as a multiple of 4
360
A reflection about the axis.
70
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.)

31. What is the name for a grouping of the members within a set based on a shared characteristic?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A subset.
Undefined
3 - 4 - 5

32. What is the 'domain' of a function?
Smallest positive integer
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
27^(-4)
The set of input values for a function.

33. Simplify (a^2 + b)^2 - (a^2 - b)^2
Be Zero!
(pi)r
441000 = 1 10 10 10 21 * 21
4a^2(b)

34. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
Factors are few - multiples are many.
C = 2(pi)r
3

35. If the two sides of a triangle are unequal then the longer side.................
A-b is positive
Lies opposite the greater angle
27
$11 -448

36. What is the measure of an exterior angle of a regular pentagon?
1:sqrt3:2
10! / 3!(10-3)! = 120
72
C=2 x pi x r OR pi x D

37. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The point of intersection of the systems.
D/t (distance)/(time)
An isosceles right triangle.

38. A number is divisible by 6 if...
x^(2(4)) =x^8 = (x^4)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
12sqrt2
Its divisible by 2 and by 3.

39. The reciprocal of any non-zero number is
1/x
28. n = 8 - k = 2. n! / k!(n-k)!
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...
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

40. The Denominator can never
V=lwh
4a^2(b)
9
Be Zero!

41. Area of a Parallelogram:
.0004809 X 10^11
x-y
(a - b)^2
A=(base)(height)

42. The larger the absolute value of the slope...
Two angles whose sum is 180.
Factors are few - multiples are many.
Positive
The steeper the slope.

43. 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
The overlapping sections.
A = length x width
Two angles whose sum is 180.

44. If a is positive - an is
Positive
(length)(width)(height)
A = pi(r^2)
Ab-ac

45. Convert 0.7% to a fraction.
A 30-60-90 triangle.
7 / 1000
Positive or Negative
52

46. What does scientific notation mean?
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)
7 / 1000
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

47. 1n
Negative
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)
Yes - like radicals can be added/subtracted.

48. 1/2 divided by 3/7 is the same as
1/2 times 7/3
5 OR -5
Right
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

49. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
2
The set of output values for a function.
A-b is negative
N! / (n-k)!

50. factored binomial product of (x+y)
26
9
x+2xy+y
1.7

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