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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. 4.809 X 10^7 =
.0004809 X 10^11
x - x+1 - x+2
Pi(diameter)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

2. In a rectangle - all angles are
Right
The shortest arc between points A and B on a circle'S diameter.
48
A=pi*(r^2)

3. What is the 'Solution' for a set of inequalities.
The empty set - denoted by a circle with a diagonal through it.
A=½bh
The overlapping sections.
The sum of its digits is divisible by 3.

4. Time
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
3/2 - 5/3
The set of output values for a function.
(distance)/(rate) d/r

5. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
10! / (10-3)! = 720
6
12! / 5!7! = 792
26

6. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(p + q)/5
A reflection about the origin.
A-b is negative

7. 7/8 in percent?
87.5%
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Ab=k (k is a constant)
8

8. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
72
P(E) = 1/1 = 1
The sum of the digits is a multiple of 9.
52

9. Obtuse Angle
1/a^6
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
angle that is greater than 90° but less than 180°

10. factored binomial product of (x-y)²
Edge³
x²-2xy+y²
61 - 67
Move the decimal point to the right x places

11. Volume of a rectangular box
V=Lwh
A<-b
A reflection about the axis.
Two equal sides and two equal angles.

12. 70 < all primes< 80
71 - 73 - 79
(p + q)/5
The set of output values for a function.
2 & 3/7

13. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
C = (pi)d
The point of intersection of the systems.
A grouping of the members within a set based on a shared characteristic.

14. The negative exponent x?n is equivalent to what?
The interesection of A and B.
The two xes after factoring.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Ø

15. What is the set of elements which can be found in either A or B?
The union of A and B.
(b + c)
= (actual decrease/Original amount) x 100%
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.)

16. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
x²-y²
$11 -448
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

17. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
Members or elements
Positive
(pi)r²

18. What is the 'Range' of a function?
(p + q)/5
The set of output values for a function.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
90

19. If a lamp decreases to $80 - from $100 - what is the decrease in price?
23 - 29
Ab=k (k is a constant)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
P(E) = 1/1 = 1

20. a^2 - 2ab + b^2
zero
(a - b)^2
Ø=P(E)=1
1/x

21. What is the name for a grouping of the members within a set based on a shared characteristic?
1:sqrt3:2
A subset.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
2

22. 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)?
y = (x + 5)/2
70
Null
6

23. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
1/x
The empty set - denoted by a circle with a diagonal through it.
an angle that is less than 90°

24. Slope of any line that goes up from left to right
A central angle is an angle formed by 2 radii.
(b + c)
V=l×w×h
Positive

25. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
1
1
3
x²-y²

26. What is the 'domain' of a function?
Ø
x²-y²
The set of input 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)

27. a/Ø
Every number
A+c<b+c
8
Null

28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
1
Ø
Add them. i.e. (5^7) * (5^3) = 5^10

29. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
A subset.
1
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Undefined

30. Area of a triangle?
x - x+1 - x+2
37.5%
(base*height) / 2
(amount of decrease/original price) x 100%

31. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
10! / 3!(10-3)! = 120
Even
4:5
A reflection about the axis.

32. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Can be negative - zero - or positive
5
8
(a - b)(a + b)

33. What is the 'union' of A and B?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Even
The set of elements which can be found in either A or B.
1 - P(E)

34. The percent decrease of a quantity
Null
(p + q)/5
x(x - y + 1)
= (actual decrease/Original amount) x 100%

35. What is a central angle?
A central angle is an angle formed by 2 radii.
6
1
The set of input values for a function.

36. When does a function automatically have a restricted domain (2)?
The steeper the slope.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Ab=k (k is a constant)
Can be negative - zero - or positive

37. What is the maximum value for the function g(x) = (-2x^2) -1?
1
20.5
Ø
1:1:sqrt2

38. x^2 = 9. What is the value of x?
1 - P(E)
3 - -3
(n-2) x 180
6 : 1 : 2

39. (x-y)²
The second graph is less steep.
12sqrt2
Do not have slopes!
x²-2xy+y²

40. (6sqrt3) x (2sqrt5) =
x - x(SR3) - 2x
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
$11 -448
The objects within a set.

41. -3²
The objects within a set.
The set of elements which can be found in either A or B.
9
90°

42. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The sum of digits is divisible by 9.
55%

43. bn
1 & 37/132
B?b?b (where b is used as a factor n times)
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.)
1/x

44. Slope of any line that goes down as you move from left to right is
(base*height) / 2
The steeper the slope.
2 & 3/7
Negative

45. Circumference of a Circle
Smallest positive integer
C=2 x pi x r OR pi x D
2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

46. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
x²-2xy+y²
180
$11 -448
M= (Y1-Y2)/(X1-X2)

47. Find distance when given time and rate
Its divisible by 2 and by 3.
8
D=rt so r= d/t and t=d/r
27^(-4)

48. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the origin.
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.)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A reflection about the axis.

49. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
70
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 : 25
13

50. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
3 - 4 - 5
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.
Sector area = (n/360) X (pi)r^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.