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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.
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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. Area of a Parallelogram:
A=(base)(height)
5 OR -5
C=2 x pi x r OR pi x D
D=rt so r= d/t and t=d/r

2. What is the 'domain' of a function?
20.5
P=4s (s=side)
2 & 3/7
The set of input values for a function.

3. If a is positive - an is
The set of elements found in both A and B.
Positive
(b + c)
Do not have slopes!

4. 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)
A subset.
A 30-60-90 triangle.
500

5. 8.84 / 5.2
The set of output values for a function.
N! / (n-k)!
M= (Y1-Y2)/(X1-X2)
1.7

6. Circumference of a Circle
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...
C=2 x pi x r OR pi x D
Lies opposite the greater angle
A multiple of every integer

7. binomial product of (x+y)(x-y)
x²-y²
180°
The longest arc between points A and B on a circle'S diameter.
13pi / 2

8. Evaluate (4^3)^2
4096
x - x(SR3) - 2x
NOT A PRIME
The set of elements which can be found in either A or B.

9. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
X
y = (x + 5)/2
(a + b)^2

10. If a is negative and n is even then an is (positive or negative?)
75:11
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An is positive
Yes - like radicals can be added/subtracted.

11. X is the opposite of
A+c<b+c
A=(base)(height)
X
Sector area = (n/360) X (pi)r^2

12. 6w^2 - w - 15 = 0
1
3/2 - 5/3
6 : 1 : 2
A set with a number of elements which can be counted.

13. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
A-b is negative
9 & 6/7
P(E) = 1/1 = 1

14. The reciprocal of any non-zero number is
Ab+ac
The set of output values for a function.
1/x
37.5%

15. 30< all primes<40
Every number
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
28
31 - 37

16. Pi is a ratio of what to what?

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17. If Event is impossible
Null
Positive or Negative
P(E) = ø
(distance)/(rate) d/r

18. Rate
D/t (distance)/(time)
P= 2L + 2w
27^(-4)
75:11

19. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
N! / (k!)(n-k)!
Two angles whose sum is 90.
8
2 & 3/7

20. 1/2 divided by 3/7 is the same as
1/2 times 7/3
Even
The greatest value minus the smallest.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

21. Area of a triangle?
Ø
3/2 - 5/3
Factors are few - multiples are many.
(base*height) / 2

22. The sum of the measures of the n angles in a polygon with n sides
(a + b)^2
(n-2) x 180
10! / 3!(10-3)! = 120
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

23. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
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 two xes after factoring.
Null

24. What is the name of set with a number of elements which cannot be counted?
(a + b)^2
A percent is a fraction whose denominator is 100.
An infinite set.
61 - 67

25. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Ø
An isosceles right triangle.

26. If a product of two numbers is Ø - one number must be
Ø
Positive or Negative
27
Its last two digits are divisible by 4.

27. What is the set of elements found in both A and B?
The interesection of A and B.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
F(x) + c

28. Ø Is
A=½bh
EVEN
The set of output values for a function.
2sqrt6

29. a<b then a - b is positive or negative?
1 & 37/132
10! / (10-3)! = 720
Positive or Negative
A-b is negative

30. 7 divided by Ø
x(x - y + 1)
Sector area = (n/360) X (pi)r^2
Null
75:11

31. What is an exterior angle?
No - only like radicals can be added.
Cd
An angle which is supplementary to an interior angle.
A-b is negative

32. To multiply a number by 10^x
(a - b)(a + b)
x²-2xy+y²
Move the decimal point to the right x places
A multiple of every integer

33. What is the 'Solution' for a set of inequalities.
1 - P(E)
The overlapping sections.
12sqrt2
The set of elements found in both A and B.

34. 1n
5 OR -5
N! / (k!)(n-k)!
The set of input values for a function.
1

35. Define a 'monomial'
P(E) = number of favorable outcomes/total number of possible outcomes
360°
An expression with just one term (-6x - 2a^2)
(x+y)(x-y)

36. In a Regular Polygon - the measure of each exterior angle
Two (Ø×2=Ø)
2(pi)r
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
360/n

37. Slope
12sqrt2
28. n = 8 - k = 2. n! / k!(n-k)!
y2-y1/x2-x1
Negative

38. Important properties of a 30-60-90 triangle?
The direction of the inequality is reversed.
6 : 1 : 2
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
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

39. The important properties of a 45-45-90 triangle?
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.
EVEN
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(x+y)(x+y)

40. a(b+c)
Ab+ac
zero
37.5%
52

41. The product of any number x and its reciprocal
A multiple of every integer
8
1
Undefined - because we can'T divide by 0.

42. When dividing exponential #s with the same base - you do this to the exponents...
EVEN
Subtract them. i.e (5^7)/(5^3)= 5^4
10! / (10-3)! = 720
1

43. If a lamp increases from $80 to $100 - what is the percent increase?
The union of A and B.
Smallest positive integer
A=(base)(height)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

44. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
5 - 12 - 13
Indeterminable.
90
13

45. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
(length)(width)(height)
72
(p + q)/5

46. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
A-b is positive
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Two angles whose sum is 90.
Distance=rate×time or d=rt

47. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
= (actual decrease/Original amount) x 100%
180°
Triangles with same measure and same side lengths.
4:5

48. 0^0
A grouping of the members within a set based on a shared characteristic.
Undefined
Even prime number
The set of elements which can be found in either A or B.

49. Which is greater? 64^5 or 16^8
360°
Subtract them. i.e (5^7)/(5^3)= 5^4
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

50. Dividing by a number is the same as multiplying it by its
1
(length)(width)(height)
Two (Ø×2=Ø)
Reciprocal

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GRE Math: All In One

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