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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. What is the intersection of A and B?
3/2 - 5/3
P=4s (s=side)
The set of elements found in both A and B.
26

2. X is the opposite of
180°
Smallest positive integer
X
$11 -448

3. 8.84 / 5.2
360°
A grouping of the members within a set based on a shared characteristic.
1.7
10! / (10-3)! = 720

4. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
An angle which is supplementary to an interior angle.
= (actual decrease/Original amount) x 100%
Parallelogram
N! / (k!)(n-k)!

5. Describe the relationship between 3x^2 and 3(x - 1)^2
The direction of the inequality is reversed.
A = length x width
3 - -3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

6. Time
(distance)/(rate) d/r
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
360°
$11 -448

7. Pythagorean theorem
P=2(l+w)
A²+b²=c²
zero
$11 -448

8. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
Factors are few - multiples are many.
The set of output values for a function.
4.25 - 6 - 22

9. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
2(pi)r
2
$11 -448
Add them. i.e. (5^7) * (5^3) = 5^10

10. Is 0 even or odd?
A subset.
Even
A= (1/2) b*h
The point of intersection of the systems.

11. Area of a triangle?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3 - 4 - 5
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(base*height) / 2

12. 7 divided by Ø
Factors are few - multiples are many.
Diameter(Pi)
Null
Ab+ac

13. What are the real numbers?
53 - 59
F(x-c)
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)
(rate)(time) d=rt

14. 30 60 90
D/t (distance)/(time)
70
F(x-c)
x - x(SR3) - 2x

15. Ø is a multiple of
Its last two digits are divisible by 4.
V=l×w×h
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.)
Every number

16. 30 60 90
= (actual decrease/Original amount) x 100%
5 - 12 - 13
F(x-c)
360/n

17. 50 < all primes< 60
53 - 59
A reflection about the origin.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Two angles whose sum is 90.

18. 1n
1
Ø
x(x - y + 1)
An angle which is supplementary to an interior angle.

19. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
2(pi)r
A=pi*(r^2)
3/2 - 5/3

20. Distance
(length)(width)(height)
An infinite set.
(rate)(time) d=rt
Null

21. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
3/2 - 5/3
Pi is the ratio of a circle'S circumference to its diameter.
12! / 5!7! = 792
The union of A and B.

22. What is the maximum value for the function g(x) = (-2x^2) -1?
Subtract them. i.e (5^7)/(5^3)= 5^4
1
A 30-60-90 triangle.
x^(4+7) = x^11

23. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
27
A reflection about the axis.
Null
90pi

24. What is the ratio of the sides of a 30-60-90 triangle?
A=pi*(r^2)
1:sqrt3:2
12.5%
x - x+1 - x+2

25. Find distance when given time and rate
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
87.5%
D=rt so r= d/t and t=d/r
Relationship cannot be determined (what if x is negative?)

26. Convert 0.7% to a fraction.
7 / 1000
D/t (distance)/(time)
x²+2xy+y²
Two equal sides and two equal angles.

27. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
75:11
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.
90pi
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)

28. Formula for the area of a circle?
2(pi)r
Negative
A = pi(r^2)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

29. Ø²
(a + b)^2
Ø
Two (Ø×2=Ø)
Diameter(Pi)

30. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
x²-y²
F(x) + c
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

31. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
Lies opposite the greater angle
The set of input values for a function.
x²-y²

32. 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 - b)^2
8
0
A = length x width

33. 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
4096
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a + b)^2

34. Formula to find a circle'S circumference from its diameter?
Indeterminable.
360/n
C = (pi)d
3 - 4 - 5

35. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
6 : 1 : 2
500
Parallelogram
2

36. 20<all primes<30
53 - 59
A reflection about the origin.
3
23 - 29

37. Evaluate 3& 2/7 / 1/3
360°
9 & 6/7
130pi
A natural number greater than 1 that has no positive divisors other than 1 and itself

38. What is an exterior angle?
The union of A and B.
NOT A PRIME
An angle which is supplementary to an interior angle.
1

39. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
= (actual decrease/Original amount) x 100%
Subtract them. i.e (5^7)/(5^3)= 5^4
75:11

40. How do you solve proportions? a/b=c/d
A+c<b+c
A set with no members - denoted by a circle with a diagonal through it.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

41. -3³
Parallelogram
27
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.)
87.5%

42. Slope
y2-y1/x2-x1
The set of elements found in both A and B.
Triangles with same measure and same side lengths.
360°

43. 1 is the
10
A²+b²=c²
x²+2xy+y²
Smallest positive integer

44. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
M
90°
x - x(SR3) - 2x

45. What is a minor arc?

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46. a(b+c)
Ab+ac
(a + b)^2
0
(distance)/(rate) d/r

47. x^6 / x^3
y2-y1/x2-x1
Two equal sides and two equal angles.
No - only like radicals can be added.
x^(6-3) = x^3

48. What are the irrational numbers?

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49. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
28
13pi / 2
20.5
75:11

50. Dividing by a number is the same as multiplying it by its
Reciprocal
Its last two digits are divisible by 4.
3
20.5