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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. How to recognize a # as a multiple of 3
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)
5
(x+y)(x+y)
2²

2. Slope
y2-y1/x2-x1
x²+2xy+y²
X
Its divisible by 2 and by 3.

3. x^2 = 9. What is the value of x?
Undefined - because we can'T divide by 0.
X
3 - -3
288 (8 9 4)

4. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
3
55%
1
4a^2(b)

5. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
11 - 13 - 17 - 19
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
12.5%

6. What is a tangent?
An arc is a portion of a circumference of a circle.
5
180
A tangent is a line that only touches one point on the circumference of a circle.

7. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
Its last two digits are divisible by 4.
A-b is negative
1/a^6

8. What is the name for a grouping of the members within a set based on a shared characteristic?
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)
A subset.
Positive
Cd

9. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The point of intersection of the systems.
8
A set with no members - denoted by a circle with a diagonal through it.
(x+y)(x+y)

10. 5x^2 - 35x -55 = 0
(2x7)³
Its last two digits are divisible by 4.
The set of input values for a function.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

11. Important properties of a 30-60-90 triangle?
A-b is negative
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
28. n = 8 - k = 2. n! / k!(n-k)!
An is positive

12. The product of odd number of negative numbers
Ø
A percent is a fraction whose denominator is 100.
75:11
Negative

13. In a rectangle - all angles are
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
75:11
Right
A=½bh

14. Distance
2
x²-y²
N! / (n-k)!
(rate)(time) d=rt

15. How to recognize a multiple of 6
27^(-4)
Even prime number
Sum of digits is a multiple of 3 and the last digit is even.
(a + b)^2

16. Convert 0.7% to a fraction.
7 / 1000
Ø=P(E)=1
Positive
1

17. The Perimeter of a rectangle
Relationship cannot be determined (what if x is negative?)
Two (Ø×2=Ø)
P=2(l+w)
The overlapping sections.

18. (x+y)²
x²+2xy+y²
The set of output values for a function.
13pi / 2
Cd

19. 1 is an
6
A²+b²=c²
ODD number
x^(4+7) = x^11

20. What is the intersection of A and B?
angle that is greater than 90° but less than 180°
x^(2(4)) =x^8 = (x^4)^2
Distance=rate×time or d=rt
The set of elements found in both A and B.

21. When multiplying exponential #s with the same base - you do this to the exponents...
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
70
x^(2(4)) =x^8 = (x^4)^2
Add them. i.e. (5^7) * (5^3) = 5^10

22. What are the rational numbers?
10! / 3!(10-3)! = 120
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
87.5%
y = (x + 5)/2

23. Number of degrees in a triangle
The set of input values for a function.
180
Ø
10

24. The sum of the angles in a quadrilateral is
x(x - y + 1)
1
(a - b)(a + b)
360°

25. If Event is impossible
The union of A and B.
P(E) = ø
360/n
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

26. A number is divisible by 6 if...
F(x + c)
Its divisible by 2 and by 3.
71 - 73 - 79
Relationship cannot be determined (what if x is negative?)

27. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
M= (Y1-Y2)/(X1-X2)
x²+2xy+y²
2 & 3/7
A reflection about the origin.

28. Simplify (a^2 + b)^2 - (a^2 - b)^2
360°
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
83.333%
4a^2(b)

29. What is a major arc?

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30. a(b-c)
Even prime number
13
The interesection of A and B.
Ab-ac

31. The Denominator can never
x²+2xy+y²
5 - 12 - 13
Be Zero!
12.5%

32. In a Regular Polygon - the measure of each exterior angle
F(x) - c
X
360/n
Factors are few - multiples are many.

33. Perimeter of a rectangle
1 - P(E)
x²+2xy+y²
3/2 - 5/3
P= 2L + 2w

34. Define an 'expression'.
V=l×w×h
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)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

35. Legs: 3 - 4. Hypotenuse?
23 - 29
5
Negative
Two angles whose sum is 90.

36. What is a chord of a circle?
7 / 1000
ODD number
A chord is a line segment joining two points on a circle.
The sum of the digits is a multiple of 9.

37. What are the smallest three prime numbers greater than 65?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
67 - 71 - 73
2
Ø

38. binomial product of (x+y)(x-y)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
D/t (distance)/(time)
y/x is a constant
x²-y²

39. What is the maximum value for the function g(x) = (-2x^2) -1?
1
1:1:sqrt2
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.)
A=(base)(height)

40. 2 is the only
31 - 37
Factors are few - multiples are many.
Even prime number
Pi is the ratio of a circle'S circumference to its diameter.

41. Pythagorean theorem
27^(-4)
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.)
A²+b²=c²
Even

42. What is the ratio of the sides of an isosceles right triangle?
1 & 37/132
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
18
1:1:sqrt2

43. What is an isoceles triangle?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
90
Two equal sides and two equal angles.
(x+y)(x-y)

44. Rate
A set with no members - denoted by a circle with a diagonal through it.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A reflection about the axis.
D/t (distance)/(time)

45. 50 < all primes< 60
x^(4+7) = x^11
A central angle is an angle formed by 2 radii.
Cd
53 - 59

46. 2³×7³
A tangent is a line that only touches one point on the circumference of a circle.
Do not have slopes!
1.7
(2x7)³

47. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
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 angles whose sum is 180.
(rate)(time) d=rt

48. binomial product of (x+y)²
61 - 67
M
The set of elements found in both A and B.
(x+y)(x+y)

49. 1/Ø=null If a>b then
13pi / 2
3 - -3
A<-b
N! / (n-k)!

50. Simplify the expression [(b^2 - c^2) / (b - c)]
1
90
360°
(b + c)