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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. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A= (1/2) b*h
48
16.6666%
2sqrt6

2. What is a minor arc?

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3. Volume of a rectangular solid
Ab=k (k is a constant)
(length)(width)(height)
All numbers multiples of 1.
37.5%

4. Time
(a + b)^2
(distance)/(rate) d/r
x²-2xy+y²
Straight Angle

5. How many multiples does a given number have?
55%
Infinite.
F(x) + c
V=Lwh

6. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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
61 - 67
28. n = 8 - k = 2. n! / k!(n-k)!

7. How to determine percent decrease?
2^9 / 2 = 256
(amount of decrease/original price) x 100%
(length)(width)(height)
18

8. What are 'Supplementary angles?'
V=side³
Two angles whose sum is 180.
Do not have slopes!
52

9. How to recognize if a # is a multiple of 12
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.)
$3 -500 in the 9% and $2 -500 in the 7%.
x²-2xy+y²
Cd

10. formula for volume of a rectangular solid
4725
V=l×w×h
$3 -500 in the 9% and $2 -500 in the 7%.
9

11. 30 60 90
x - x(SR3) - 2x
(p + q)/5
1/x
An expression with just one term (-6x - 2a^2)

12. Evaluate 4/11 + 11/12
Infinite.
Factors are few - multiples are many.
F(x + c)
1 & 37/132

13. 1/8 in percent?
x²-y²
12.5%
1
(length)(width)(height)

14. What is the 'Solution' for a set of inequalities.
31 - 37
2.592 kg
F(x) - c
The overlapping sections.

15. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
M
Two angles whose sum is 90.
A chord is a line segment joining two points on a circle.

16. Probability of Event all cases
Ø=P(E)=1
A set with no members - denoted by a circle with a diagonal through it.
A multiple of every integer
(b + c)

17. The larger the absolute value of the slope...
10
27^(-4)
8
The steeper the slope.

18. x^2 = 9. What is the value of x?
x²-2xy+y²
Even prime number
3 - -3
An angle which is supplementary to an interior angle.

19. If y is directly proportional to x - what does it equal?
y/x is a constant
Two (Ø×2=Ø)
Cd
5 - 12 - 13

20. How do you solve proportions? a/b=c/d
A multiple of every integer
A = length x width
83.333%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

21. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A multiple of every integer
360°
Can be negative - zero - or positive

22. The Perimeter of a Square
Ø
P=4s (s=side)
P(E) = number of favorable outcomes/total number of possible outcomes
1/x

23. formula for the volume of a cube
1 - P(E)
Members or elements
N! / (k!)(n-k)!
V=side³

24. If a is positive - an is
Straight Angle
an angle that is less than 90°
Lies opposite the greater angle
Positive

25. Area of a rectangle
No - only like radicals can be added.
A = length x width
N! / (k!)(n-k)!
The objects within a set.

26. bn
P=2(l+w)
The sum of the digits is a multiple of 9.
2sqrt6
B?b?b (where b is used as a factor n times)

27. What is the ratio of the sides of a 30-60-90 triangle?
288 (8 9 4)
(amount of decrease/original price) x 100%
1:sqrt3:2
y/x is a constant

28. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
12.5%
A central angle is an angle formed by 2 radii.
9 : 25
71 - 73 - 79

29. x^6 / x^3
Smallest positive integer
360°
x^(6-3) = x^3
D=rt so r= d/t and t=d/r

30. (x-y)(x+y)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x²-y²
P=2(l+w)
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)

31. 30 60 90
11 - 13 - 17 - 19
5 - 12 - 13
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Every number

32. 7/8 in percent?
5 OR -5
x²-2xy+y²
The point of intersection of the systems.
87.5%

33. Formula for the area of a sector of a circle?
The greatest value minus the smallest.
2.592 kg
The interesection of A and B.
Sector area = (n/360) X (pi)r^2

34. The objects in a set are called two names:
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)
Members or elements
x²-y²
8

35. 1/2 divided by 3/7 is the same as
1/2 times 7/3
2sqrt6
The two xes after factoring.
1

36. What is a subset?
an angle that is less than 90°
A²+b²=c²
The greatest value minus the smallest.
A grouping of the members within a set based on a shared characteristic.

37. What is the slope of a horizontal line?
angle that is greater than 90° but less than 180°
The set of elements found in both A and B.
0
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

38. If a product of two numbers is Ø - one number must be
Ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
12! / 5!7! = 792
12.5%

39. If a is negative and n is even then an is (positive or negative?)
An is positive
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)
Even
x²-y²

40. What is the side length of an equilateral triangle with altitude 6?
A chord is a line segment joining two points on a circle.
Diameter(Pi)
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
Its last two digits are divisible by 4.

41. 3 is the opposite of
7 / 1000
The shortest arc between points A and B on a circle'S diameter.
10! / (10-3)! = 720
3

42. Define an 'expression'.
an angle that is less than 90°
90°
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)
16.6666%

43. 7 divided by Ø
(distance)/(rate) d/r
x - x+1 - x+2
Null
The objects within a set.

44. 30< all primes<40
1
52
D=rt so r= d/t and t=d/r
31 - 37

45. Volume of a rectangular box
V=Lwh
Null
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
3

46. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
A chord is a line segment joining two points on a circle.
1/x
Two angles whose sum is 180.
75:11

47. Probability of an Event
1
P(E) = number of favorable outcomes/total number of possible outcomes
62.5%
1:1:sqrt2

48. What are the irrational numbers?

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49. What is a major arc?

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50. Product of any number and Ø is
(pi)r²
Ø
2(pi)r
(n-2) x 180