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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. The important properties of a 45-45-90 triangle?
180 degrees
52
The steeper the slope.
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.

2. First 10 prime #s
A tangent is a line that only touches one point on the circumference of a circle.
The set of elements which can be found in either A or B.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x - x(SR3) - 2x

3. Area of a Parallelogram:
A reflection about the origin.
... the square of the ratios of the corresponding sides.
A=(base)(height)
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.)

4. The reciprocal of any non-zero number is
The set of output values for a function.
A reflection about the origin.
No - only like radicals can be added.
1/x

5. (a^-1)/a^5
2(pi)r
A-b is positive
12! / 5!7! = 792
1/a^6

6. Which is greater? 200x^295 or 10x^294?
(pi)r²
an angle that is less than 90°
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Relationship cannot be determined (what if x is negative?)

7. Obtuse Angle
A grouping of the members within a set based on a shared characteristic.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
angle that is greater than 90° but less than 180°
A= (1/2) b*h

8. Describe the relationship between the graphs of x^2 and (1/2)x^2
Positive or Negative
(n-2) x 180
(distance)/(rate) d/r
The second graph is less steep.

9. The Denominator can never
1/2 times 7/3
True
$11 -448
Be Zero!

10. If Event is impossible
V=side³
A set with a number of elements which can be counted.
8
P(E) = ø

11. a>b then a - b is positive or negative?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
C = (pi)d
A-b is positive
Two angles whose sum is 180.

12. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
$11 -448
83.333%
Its divisible by 2 and by 3.

13. the measure of a straight angle
Be Zero!
An infinite set.
180°
Ab-ac

14. What number between 70 & 75 - inclusive - has the greatest number of factors?
The sum of its digits is divisible by 3.
A=(base)(height)
(amount of decrease/original price) x 100%
72

15. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
72
True
1/x
55%

16. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
An angle which is supplementary to an interior angle.
0
72
Two angles whose sum is 90.

17. 5/6 in percent?
5 - 12 - 13
Add them. i.e. (5^7) * (5^3) = 5^10
83.333%
P(E) = 1/1 = 1

18. 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?
N! / (n-k)!
5 OR -5
x^(4+7) = x^11
62.5%

19. What is the set of elements found in both A and B?
x²-2xy+y²
Null
A central angle is an angle formed by 2 radii.
The interesection of A and B.

20. a(b-c)
Ab-ac
angle that is greater than 90° but less than 180°
12.5%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

21. What are the smallest three prime numbers greater than 65?
Right
P=4s (s=side)
1
67 - 71 - 73

22. Slope given 2 points
F(x) - c
M= (Y1-Y2)/(X1-X2)
x - x(SR3) - 2x
3 - -3

23. Legs 5 - 12. Hypotenuse?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A reflection about the origin.
13
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

24. Find distance when given time and rate
6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A = pi(r^2)
D=rt so r= d/t and t=d/r

25. What is an exterior angle?
1.0843 X 10^11
B?b?b (where b is used as a factor n times)
6 : 1 : 2
An angle which is supplementary to an interior angle.

26. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
(a - b)(a + b)
10! / (10-3)! = 720
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
28. n = 8 - k = 2. n! / k!(n-k)!

27. binomial product of (x+y)(x-y)
A subset.
x²-y²
10! / 3!(10-3)! = 120
Even

28. Ø is a multiple of
Two (Ø×2=Ø)
An infinite set.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
3 - -3

29. Simplify the expression [(b^2 - c^2) / (b - c)]
Move the decimal point to the right x places
A grouping of the members within a set based on a shared characteristic.
Indeterminable.
(b + c)

30. Area of a rectangle
Sector area = (n/360) X (pi)r^2
A-b is negative
12.5%
A = length x width

31. a(b+c)
F(x + c)
Null
Ab+ac
N! / (k!)(n-k)!

32. Can you add sqrt 3 and sqrt 5?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
No - only like radicals can be added.
Parallelogram
Pi(diameter)

33. binomial product of (x+y)²
The second graph is less steep.
Members or elements
(x+y)(x+y)
6

34. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The empty set - denoted by a circle with a diagonal through it.
83.333%
A set with no members - denoted by a circle with a diagonal through it.

35. The consecutive angles in a parallelogram equal
C = (pi)d
360°
P(E) = ø
180°

36. If a is positive - an is
F(x) - c
Positive
The direction of the inequality is reversed.
27

37. What is the maximum value for the function g(x) = (-2x^2) -1?
2.592 kg
2sqrt6
1
A= (1/2) b*h

38. 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?
4725
x²+2xy+y²
B?b?b (where b is used as a factor n times)
N! / (k!)(n-k)!

39. Formula to find a circle'S circumference from its diameter?
5 - 12 - 13
7 / 1000
All numbers multiples of 1.
C = (pi)d

40. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
Relationship cannot be determined (what if x is negative?)
A<-b
2.592 kg
Undefined - because we can'T divide by 0.

41. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
angle that is greater than 90° but less than 180°
2 & 3/7
1/2 times 7/3

42. (x-y)²
8
Triangles with same measure and same side lengths.
X
x²-2xy+y²

43. What is a percent?
The union of A and B.
A percent is a fraction whose denominator is 100.
Undefined - because we can'T divide by 0.
Relationship cannot be determined (what if x is negative?)

44. Volume of a cube
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Positive
Edge³
The set of output values for a function.

45. 1 is an
A=(base)(height)
1
Two equal sides and two equal angles.
ODD number

46. Circumference of a circle
2(pi)r
P(E) = number of favorable outcomes/total number of possible outcomes
A percent is a fraction whose denominator is 100.
1

47. (x+y)²
x²-y²
3 - 4 - 5
x²+2xy+y²
10

48. Ø is a multiple of
Positive
V=l×w×h
Move the decimal point to the right x places
Every number

49. formula for the volume of a cube
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)
75:11
A set with a number of elements which can be counted.
V=side³

50. Which is greater? 64^5 or 16^8
Ø
The set of input values for a function.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
(x+y)(x+y)