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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 a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
13
90°
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. Volume of a rectangular box
2sqrt6
(x+y)(x-y)
83.333%
V=Lwh

3. Ø divided by 7
5 OR -5
Ø
27
1

4. 3/8 in percent?
87.5%
37.5%
Add them. i.e. (5^7) * (5^3) = 5^10
2

5. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
ODD number
1/x

6. In a rectangle - all angles are
Right
20.5
Ø
$3 -500 in the 9% and $2 -500 in the 7%.

7. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Every number
2(pi)r
4.25 - 6 - 22
2

8. Simplify the expression [(b^2 - c^2) / (b - c)]
90
Its divisible by 2 and by 3.
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)
(b + c)

9. If a is positive - an is
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
180
Positive
y = (x + 5)/2

10. Ø is
Indeterminable.
37.5%
Undefined
A multiple of every integer

11. What are complementary angles?
EVEN
Every number
zero
Two angles whose sum is 90.

12. If E is certain
P(E) = 1/1 = 1
Relationship cannot be determined (what if x is negative?)
3/2 - 5/3
Ø

13. In a Regular Polygon - the measure of each exterior angle
A tangent is a line that only touches one point on the circumference of a circle.
360/n
Move the decimal point to the right x places
1:sqrt3:2

14. 30 60 90
3x - 4x - 5x
12! / 5!7! = 792
90
Ø Ø=Ø

15. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
A+c<b+c
D=rt so r= d/t and t=d/r
37.5%

16. What is the empty set?
(base*height) / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The overlapping sections.
A set with no members - denoted by a circle with a diagonal through it.

17. Pi is a ratio of what to what?

18. P and r are factors of 100. What is greater - pr or 100?
(x+y)(x+y)
Indeterminable.
28. n = 8 - k = 2. n! / k!(n-k)!
An isosceles right triangle.

19. factored binomial product of (x-y)²
A natural number greater than 1 that has no positive divisors other than 1 and itself
Pi(diameter)
x²-2xy+y²
A reflection about the origin.

20. 25^(1/2) or sqrt. 25 =
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
5 OR -5
Indeterminable.
4a^2(b)

21. Can you add sqrt 3 and sqrt 5?
1/x
No - only like radicals can be added.
37.5%
x(x - y + 1)

22. What is the set of elements found in both A and B?
1/x
(x+y)(x+y)
The interesection of A and B.
B?b?b (where b is used as a factor n times)

23. 1/6 in percent?
16.6666%
31 - 37
Two angles whose sum is 90.
10! / (10-3)! = 720

24. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
Pi(diameter)
M
x^(4+7) = x^11

25. Area of a triangle
Lies opposite the greater angle
A= (1/2) b*h
(amount of decrease/original price) x 100%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

26. A quadrilateral where two diagonals bisect each other
(base*height) / 2
Null
(n-2) x 180
Parallelogram

27. x^2 = 9. What is the value of x?
2^9 / 2 = 256
3 - -3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
The point of intersection of the systems.

28. What is the name for a grouping of the members within a set based on a shared characteristic?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1.0843 X 10^11
75:11
A subset.

29. Probability of Event all cases
An expression with just one term (-6x - 2a^2)
37.5%
1:1:sqrt2
Ø=P(E)=1

30. What is the 'domain' of a function?
180 degrees
The set of elements which can be found in either A or B.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The set of input values for a function.

31. A number is divisible by 6 if...
Triangles with same measure and same side lengths.
The sum of the digits is a multiple of 9.
Its divisible by 2 and by 3.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

32. Legs 6 - 8. Hypotenuse?
1
Ø=P(E)=1
10
(amount of decrease/original price) x 100%

33. The larger the absolute value of the slope...
C = 2(pi)r
The steeper the slope.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
An angle which is supplementary to an interior angle.

34. How to find the circumference of a circle which circumscribes a square?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
3/2 - 5/3
Sum of digits is a multiple of 3 and the last digit is even.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

35. The product of odd number of negative numbers
Negative
23 - 29
4:5
(2x7)³

36. What is the 'Range' of a function?
F(x) - c
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The set of output values for a function.
Two angles whose sum is 180.

37. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The longest arc between points A and B on a circle'S diameter.
(a - b)^2
x²-y²

38. Define a 'monomial'
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2^9 / 2 = 256
Cd
An expression with just one term (-6x - 2a^2)

39. What is the 'Range' of a series of numbers?
A set with a number of elements which can be counted.
The greatest value minus the smallest.
A = length x width
D=rt so r= d/t and t=d/r

40. Circumference of a circle
Pi(diameter)
(rate)(time) d=rt
Null
52

41. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
M= (Y1-Y2)/(X1-X2)
1 - P(E)
The second graph is less steep.
A reflection about the axis.

42. What is a subset?
Indeterminable.
Ø Ø=Ø
Can be negative - zero - or positive
A grouping of the members within a set based on a shared characteristic.

43. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
1/2 times 7/3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
An isosceles right triangle.
A-b is negative

44. What are 'Supplementary angles?'
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Yes - like radicals can be added/subtracted.
A 30-60-90 triangle.
Two angles whose sum is 180.

45. the measure of a straight angle
$3 -500 in the 9% and $2 -500 in the 7%.
31 - 37
180°
Smallest positive integer

46. 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
1/2 times 7/3
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
2

47. 8.84 / 5.2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2²
1.7
A=(base)(height)

48. Number of degrees in a triangle
1
The point of intersection of the systems.
180
A 30-60-90 triangle.

49. 1/2 divided by 3/7 is the same as
Pi is the ratio of a circle'S circumference to its diameter.
1/2 times 7/3
0
The union of A and B.

50. A number is divisible by 9 if...
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...
The set of elements which can be found in either A or B.
All numbers multiples of 1.
The sum of digits is divisible by 9.