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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
3
23 - 29
x²-2xy+y²
The objects within a set.

2. If a lamp increases from $80 to $100 - what is the percent increase?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
10
x^(2(4)) =x^8 = (x^4)^2

3. How do you solve proportions? a/b=c/d
The point of intersection of the systems.
x^(4+7) = x^11
Relationship cannot be determined (what if x is negative?)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

4. The only number that is equal to its opposite
The set of input values for a function.
Ø Ø=Ø
EVEN
(a + b)^2

5. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
180
$11 -448
Diameter(Pi)
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

6. The sum of the angles in a quadrilateral is
The empty set - denoted by a circle with a diagonal through it.
The steeper the slope.
360°
A= (1/2) b*h

7. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
4:5
P=2(l+w)
F(x) - c
13pi / 2

8. b¹
55%
1
An arc is a portion of a circumference of a circle.
6 : 1 : 2

9. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The union of A and B.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
3
90

10. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
A subset.
zero
The overlapping sections.

11. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
C=2 x pi x r OR pi x D
A percent is a fraction whose denominator is 100.
1/x
4:5

12. The product of odd number of negative numbers
The set of elements which can be found in either A or B.
83.333%
10! / (10-3)! = 720
Negative

13. What is a minor arc?

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14. -3³
Yes - like radicals can be added/subtracted.
27
x²-2xy+y²
Positive

15. a(b+c)
288 (8 9 4)
Ab+ac
A reflection about the origin.
Cd

16. What is a percent?
A percent is a fraction whose denominator is 100.
(a + b)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
6

17. Simplify 9^(1/2) X 4^3 X 2^(-6)?
M= (Y1-Y2)/(X1-X2)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The set of elements found in both A and B.
3

18. -3²
9
N! / (k!)(n-k)!
The steeper the slope.
Undefined - because we can'T divide by 0.

19. The product of any number x and its reciprocal
1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
4.25 - 6 - 22
$3 -500 in the 9% and $2 -500 in the 7%.

20. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
4a^2(b)
x²+2xy+y²
70
A²+b²=c²

21. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
B?b?b (where b is used as a factor n times)
28
13pi / 2
28. n = 8 - k = 2. n! / k!(n-k)!

22. What is the graph of f(x) shifted upward c units or spaces?
1
A=½bh
y2-y1/x2-x1
F(x) + c

23. How to determine percent decrease?
20.5
.0004809 X 10^11
x(x - y + 1)
(amount of decrease/original price) x 100%

24. Slope of any line that goes up from left to right
9 : 25
Positive
Sector area = (n/360) X (pi)r^2
x²+2xy+y²

25. Slope
y2-y1/x2-x1
23 - 29
18
(a + b)^2

26. If Event is impossible
1 & 37/132
P(E) = ø
Subtract them. i.e (5^7)/(5^3)= 5^4
The set of elements found in both A and B.

27. Product of any number and Ø is
Ab-ac
The overlapping sections.
1 & 37/132
Ø

28. Simplify (a^2 + b)^2 - (a^2 - b)^2
x^(6-3) = x^3
4a^2(b)
Indeterminable.
Be Zero!

29. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
Undefined
$11 -448
Ø

30. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
D=rt so r= d/t and t=d/r
180°
x(x - y + 1)

31. Evaluate 3& 2/7 / 1/3
9 & 6/7
Right
Undefined
Straight Angle

32. Perimeter of a rectangle
Two equal sides and two equal angles.
62.5%
P= 2L + 2w
The overlapping sections.

33. If a is negative and n is even then an is (positive or negative?)
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)
180°
Do not have slopes!
An is positive

34. 2 is the only
Ab=k (k is a constant)
Move the decimal point to the right x places
20.5
Even prime number

35. How many multiples does a given number have?
3/2 - 5/3
9 & 6/7
4a^2(b)
Infinite.

36. What is a finite set?
A set with a number of elements which can be counted.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
M
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

37. a(b-c)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ab-ac
Every number
P=4s (s=side)

38. What is the 'domain' of a function?
x(x - y + 1)
1
The set of input values for a function.
The union of A and B.

39. Ø is
(x+y)(x-y)
A multiple of every integer
16.6666%
20.5

40. What is a major arc?

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41. How many sides does a hexagon have?
Lies opposite the greater angle
P=2(l+w)
6
y2-y1/x2-x1

42. 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.
The set of elements found in both A and B.
A set with no members - denoted by a circle with a diagonal through it.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

43. If a is positive - an is
N! / (k!)(n-k)!
M
y/x is a constant
Positive

44. 1n
53 - 59
1
20.5
C = (pi)d

45. What are congruent triangles?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Triangles with same measure and same side lengths.
x²+2xy+y²
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

46. 1/2 divided by 3/7 is the same as
... the square of the ratios of the corresponding sides.
F(x) + c
1/2 times 7/3
A²+b²=c²

47. Ø is a multiple of
48
72
Every number
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

48. Find the surface area of a cylinder with radius 3 and height 12.
90pi
4:5
V=side³
360°

49. Rate
62.5%
Can be negative - zero - or positive
D/t (distance)/(time)
Distance=rate×time or d=rt

50. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
28. n = 8 - k = 2. n! / k!(n-k)!
(x+y)(x-y)
Cd
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60