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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. -3³
27
4096
The objects within a set.
4a^2(b)

2. The only number that is equal to its opposite
Ø Ø=Ø
M= (Y1-Y2)/(X1-X2)
A subset.
The set of input values for a function.

3. What is the 'Solution' for a system of linear equations?
C=2 x pi x r OR pi x D
1
The point of intersection of the systems.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

4. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
x^(2(4)) =x^8 = (x^4)^2
(distance)/(rate) d/r
Positive or Negative

5. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
The direction of the inequality is reversed.
y2-y1/x2-x1
Indeterminable.

6. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
3
x^(2(4)) =x^8 = (x^4)^2
y = (x + 5)/2
441000 = 1 10 10 10 21 * 21

7. Volume of a rectangular solid
Undefined
The direction of the inequality is reversed.
31 - 37
(length)(width)(height)

8. How many sides does a hexagon have?
The interesection of A and B.
28
6
41 - 43 - 47

9. Legs 6 - 8. Hypotenuse?
(n-2) x 180
48
The set of elements which can be found in either A or B.
10

10. (2²)³
x^(4+7) = x^11
18
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
26

11. How to find the circumference of a circle which circumscribes a square?
6
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
87.5%
61 - 67

12. If E is certain
16.6666%
Ab=k (k is a constant)
P(E) = 1/1 = 1
27

13. 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?
Two angles whose sum is 90.
10! / (10-3)! = 720
The sum of digits is divisible by 9.
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)

14. Circumference of a circle
Lies opposite the greater angle
Be Zero!
Pi(diameter)
P(E) = 1/1 = 1

15. Ø is a multiple of
F(x) + c
The direction of the inequality is reversed.
31 - 37
Two (Ø×2=Ø)

16. What is the empty set?
x²-y²
A set with no members - denoted by a circle with a diagonal through it.
The sum of digits is divisible by 9.
The direction of the inequality is reversed.

17. Simplify 9^(1/2) X 4^3 X 2^(-6)?
.0004809 X 10^11
3
6
A²+b²=c²

18. Ø Is neither
Positive or Negative
62.5%
10
10! / (10-3)! = 720

19. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
The set of input values for a function.
A reflection about the axis.
4725
Triangles with same measure and same side lengths.

20. 20<all primes<30
Triangles with same measure and same side lengths.
23 - 29
V=Lwh
83.333%

21. The sum of the measures of the n angles in a polygon with n sides
Cd
(n-2) x 180
The interesection of A and B.
12.5%

22. If an inequality is multiplied or divided by a negative number....
V=side³
The direction of the inequality is reversed.
61 - 67
4a^2(b)

23. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
62.5%
Right
A=½bh

24. Slope
Ab+ac
12sqrt2
26
y2-y1/x2-x1

25. The perimeter of a square is 48 inches. The length of its diagonal is:
(x+y)(x+y)
M
A=pi*(r^2)
12sqrt2

26. Area of a circle
A=pi*(r^2)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x - x+1 - x+2
180°

27. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(x+y)(x+y)
V=side³
28. n = 8 - k = 2. n! / k!(n-k)!
D/t (distance)/(time)

28. In a Rectangle - each angles measures
90°
Members or elements
y = (x + 5)/2
(a - b)(a + b)

29. 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?
Even
$3 -500 in the 9% and $2 -500 in the 7%.
180
(amount of decrease/original price) x 100%

30. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
1/a^6
4:5
The point of intersection of the systems.
A natural number greater than 1 that has no positive divisors other than 1 and itself

31. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
441000 = 1 10 10 10 21 * 21
23 - 29
ODD number

32. 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)?
A=½bh
y = (x + 5)/2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
F(x) - c

33. If y is directly proportional to x - what does it equal?
y/x is a constant
180 degrees
The union of A and B.
The objects within a set.

34. Evaluate 4/11 + 11/12
(b + c)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 & 37/132
An angle which is supplementary to an interior angle.

35. bn
B?b?b (where b is used as a factor n times)
The steeper the slope.
A = length x width
(a + b)^2

36. 1 is an
The set of output values for a function.
3
27
ODD number

37. a^2 - b^2 =
(a - b)(a + b)
A-b is positive
12! / 5!7! = 792
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

38. What is the name for a grouping of the members within a set based on a shared characteristic?
360°
zero
41 - 43 - 47
A subset.

39. Pythagorean theorem
An is positive
The set of elements which can be found in either A or B.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A²+b²=c²

40. 1/6 in percent?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
180°
16.6666%

41. Perimeter of a rectangle
2sqrt6
P= 2L + 2w
Reciprocal
90°

42. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
70
Negative
Factors are few - multiples are many.

43. a^2 + 2ab + b^2
1.0843 X 10^11
(a + b)^2
9 & 6/7
A percent is a fraction whose denominator is 100.

44. First 10 prime #s
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

45. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
9 & 6/7
x²-2xy+y²
1

46. 0^0
(a + b)^2
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.)
Undefined
y = (x + 5)/2

47. The sum of the angles in a quadrilateral is
9 & 6/7
53 - 59
360°
500

48. x^6 / x^3
= (actual decrease/Original amount) x 100%
(length)(width)(height)
x^(6-3) = x^3
Sector area = (n/360) X (pi)r^2

49. Define a 'monomial'
6
Ø
An expression with just one term (-6x - 2a^2)
A set with no members - denoted by a circle with a diagonal through it.

50. If Event is impossible
(p + q)/5
62.5%
6 : 1 : 2
P(E) = ø