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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. x^2 = 9. What is the value of x?
N! / (k!)(n-k)!
3 - -3
A natural number greater than 1 that has no positive divisors other than 1 and itself
1/x

2. To increase a number by x%
(b + c)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Null
(length)(width)(height)

3. (2²)³
(length)(width)(height)
26
x - x+1 - x+2
P(E) = number of favorable outcomes/total number of possible outcomes

4. Dividing by a number is the same as multiplying it by its
87.5%
Reciprocal
A=(base)(height)
180

5. What is the surface area of a cylinder with radius 5 and height 8?
Two equal sides and two equal angles.
Factors are few - multiples are many.
130pi
(x+y)(x-y)

6. Can you add sqrt 3 and sqrt 5?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
5
No - only like radicals can be added.
y/x is a constant

7. 5/6 in percent?
83.333%
Edge³
360/n
10

8. 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?
(distance)/(rate) d/r
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
10! / (10-3)! = 720
Positive or Negative

9. Ø Is neither
Right
an angle that is less than 90°
P(E) = number of favorable outcomes/total number of possible outcomes
Positive or Negative

10. 1/8 in percent?
12.5%
180°
y2-y1/x2-x1
2sqrt6

11. What is the 'Range' of a function?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The set of output values for a function.
An isosceles right triangle.
Undefined - because we can'T divide by 0.

12. Circumference of a Circle
Every number
1
C=2 x pi x r OR pi x D
9

13. What are the smallest three prime numbers greater than 65?
(n-2) x 180
4.25 - 6 - 22
67 - 71 - 73
P=4s (s=side)

14. Find distance when given time and rate
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
12sqrt2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
D=rt so r= d/t and t=d/r

15. What is an arc of a circle?
The sum of the digits is a multiple of 9.
8
N! / (k!)(n-k)!
An arc is a portion of a circumference of a circle.

16. 30 60 90
(x+y)(x-y)
8
A-b is negative
3 - 4 - 5

17. b¹
1
Straight Angle
P(E) = 1/1 = 1
The set of elements found in both A and B.

18. a^2 - b^2
Straight Angle
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4a^2(b)
(a - b)(a + b)

19. If a lamp decreases to $80 - from $100 - what is the decrease in price?
x²+2xy+y²
(a - b)^2
A²+b²=c²
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

20. What is the set of elements which can be found in either A or B?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The union of A and B.
23 - 29
A 30-60-90 triangle.

21. a^2 - b^2 =
26
(a - b)(a + b)
Ø
The interesection of A and B.

22. Evaluate 3& 2/7 / 1/3
9 & 6/7
3
8
Pi is the ratio of a circle'S circumference to its diameter.

23. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
20.5
An isosceles right triangle.
Edge³
9

24. What is the intersection of A and B?
N! / (n-k)!
The set of elements found in both A and B.
x^(2(4)) =x^8 = (x^4)^2
48

25. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
71 - 73 - 79
(pi)r²
A set with no members - denoted by a circle with a diagonal through it.
1

26. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
4.25 - 6 - 22
0
Sum of digits is a multiple of 3 and the last digit is even.

27. 7/8 in percent?
The sum of the digits is a multiple of 9.
87.5%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Two angles whose sum is 180.

28. The reciprocal of any non-zero #x is
180°
1/x
4.25 - 6 - 22
An angle which is supplementary to an interior angle.

29. The consecutive angles in a parallelogram equal
y = (x + 5)/2
V=side³
P= 2L + 2w
180°

30. Circumference of a circle?
Diameter(Pi)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
72
Triangles with same measure and same side lengths.

31. Ø is a multiple of
5
3
Every number
Two (Ø×2=Ø)

32. Probability of E not occurring:
The sum of its digits is divisible by 3.
31 - 37
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)
1 - P(E)

33. Define a 'monomial'
Every number
An expression with just one term (-6x - 2a^2)
0
P=4s (s=side)

34. Legs: 3 - 4. Hypotenuse?
Two angles whose sum is 180.
5
A percent is a fraction whose denominator is 100.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

35. 25^(1/2) or sqrt. 25 =
A 30-60-90 triangle.
1
5 OR -5
True

36. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
angle that is greater than 90° but less than 180°
The greatest value minus the smallest.
A tangent is a line that only touches one point on the circumference of a circle.
$11 -448

37. Volume of a rectangular box
The empty set - denoted by a circle with a diagonal through it.
4.25 - 6 - 22
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
V=Lwh

38. The ratio of the areas of two similar polygons is ...
(x+y)(x+y)
... the square of the ratios of the corresponding sides.
(base*height) / 2
1

39. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
2²
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)
Two equal sides and two equal angles.
8

40. Which is greater? 27^(-4) or 9^(-8)
C = (pi)d
27^(-4)
Ø
The shortest arc between points A and B on a circle'S diameter.

41. 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?
N! / (k!)(n-k)!
Edge³
A grouping of the members within a set based on a shared characteristic.
Undefined - because we can'T divide by 0.

42. Formula for the area of a sector of a circle?
52
1
Sector area = (n/360) X (pi)r^2
An infinite set.

43. bn
A = length x width
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
... the square of the ratios of the corresponding sides.
B?b?b (where b is used as a factor n times)

44. The Denominator can never
F(x) - c
= (actual decrease/Original amount) x 100%
Be Zero!
F(x + c)

45. 3/8 in percent?
The greatest value minus the smallest.
7 / 1000
500
37.5%

46. Consecutive integers
The second graph is less steep.
x - x+1 - x+2
1.7
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

47. Simplify the expression (p^2 - q^2)/ -5(q - p)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(p + q)/5
A 30-60-90 triangle.
Right

48. The Perimeter of a rectangle
P(E) = 1/1 = 1
The union of A and B.
9 & 6/7
P=2(l+w)

49. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
D=rt so r= d/t and t=d/r
11 - 13 - 17 - 19
Subtract them. i.e (5^7)/(5^3)= 5^4
2^9 / 2 = 256

50. Write 10 -843 X 10^7 in scientific notation
The overlapping sections.
1.0843 X 10^11
x^(6-3) = x^3
90