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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. Slope of any line that goes down as you move from left to right is
A reflection about the origin.
Even
Do not have slopes!
Negative

2. Product of any number and Ø is
3/2 - 5/3
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
52
Ø

3. Formula for the area of a circle?
C = (pi)d
A-b is negative
A = pi(r^2)
x(x - y + 1)

4. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
F(x) - c
12.5%
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.)

5. Evaluate 3& 2/7 / 1/3
9 & 6/7
Yes - like radicals can be added/subtracted.
360°
37.5%

6. Area of a rectangle
Relationship cannot be determined (what if x is negative?)
Be Zero!
360°
A = length x width

7. Factor x^2 - xy + x.
3x - 4x - 5x
(x+y)(x-y)
An is positive
x(x - y + 1)

8. Can you subtract 3sqrt4 from sqrt4?
1
Yes - like radicals can be added/subtracted.
90pi
F(x-c)

9. Which is greater? 27^(-4) or 9^(-8)
Sum of digits is a multiple of 3 and the last digit is even.
Its last two digits are divisible by 4.
48
27^(-4)

10. Ø is a multiple of
Two (Ø×2=Ø)
360/n
441000 = 1 10 10 10 21 * 21
360°

11. 70 < all primes< 80
71 - 73 - 79
180 degrees
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Arc length = (n/360) x pi(2r) where n is the number of degrees.

12. Can you simplify sqrt72?
V=Lwh
Positive
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

13. When multiplying exponential #s with the same base - you do this to the exponents...
1/a^6
180°
Add them. i.e. (5^7) * (5^3) = 5^10
The sum of digits is divisible by 9.

14. What is the 'Range' of a function?
The steeper the slope.
A natural number greater than 1 that has no positive divisors other than 1 and itself
The set of output values for a function.
A 30-60-90 triangle.

15. To decrease a number by x%
1:1:sqrt2
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
87.5%
3

16. What is the set of elements which can be found in either A or B?
67 - 71 - 73
48
The union of A and B.
130pi

17. Define a 'Term' -
The point of intersection of the systems.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)
M

18. What is a percent?
An is positive
A set with no members - denoted by a circle with a diagonal through it.
M= (Y1-Y2)/(X1-X2)
A percent is a fraction whose denominator is 100.

19. Slope given 2 points
Lies opposite the greater angle
The two xes after factoring.
M= (Y1-Y2)/(X1-X2)
A percent is a fraction whose denominator is 100.

20. 2³×7³
2
7 / 1000
(2x7)³
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

21. Area of a triangle?
The sum of its digits is divisible by 3.
360°
(base*height) / 2
6

22. 2 is the only
41 - 43 - 47
x^(2(4)) =x^8 = (x^4)^2
Even prime number
A 30-60-90 triangle.

23. x^2 = 9. What is the value of x?
3 - -3
Two (Ø×2=Ø)
52
A=pi*(r^2)

24. (x^2)^4
F(x) - c
x^(2(4)) =x^8 = (x^4)^2
The sum of digits is divisible by 9.
5 OR -5

25. What is an isoceles triangle?
Two equal sides and two equal angles.
Do not have slopes!
Every number
28

26. Area of a circle
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.)
A=pi*(r^2)
9 : 25
Sum of digits is a multiple of 3 and the last digit is even.

27. a^0 =
1
The empty set - denoted by a circle with a diagonal through it.
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)
Ø Ø=Ø

28. How to recognize if a # is a multiple of 12
31 - 37
10! / 3!(10-3)! = 120
A<-b
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.)

29. factored binomial product of (x-y)²
Yes - like radicals can be added/subtracted.
x²-2xy+y²
1.0843 X 10^11
6 : 1 : 2

30. 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?
A-b is positive
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
The sum of the digits is a multiple of 9.
18

31. How to determine percent decrease?
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)
(amount of decrease/original price) x 100%
Two angles whose sum is 180.
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...

32. Distance
P= 2L + 2w
Straight Angle
(rate)(time) d=rt
angle that is greater than 90° but less than 180°

33. Define a 'monomial'
10! / 3!(10-3)! = 120
An expression with just one term (-6x - 2a^2)
(a + b)^2
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.

34. Which is greater? 64^5 or 16^8
27
The interesection of A and B.
1
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

35. Evaluate 4/11 + 11/12
An expression with just one term (-6x - 2a^2)
y2-y1/x2-x1
1 & 37/132
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

36. 40 < all primes<50
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
41 - 43 - 47
Smallest positive integer
The sum of its digits is divisible by 3.

37. Volume of a rectangular solid
Be Zero!
Ø
1
(length)(width)(height)

38. What is the graph of f(x) shifted upward c units or spaces?
16.6666%
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
F(x) + c
Ø Ø=Ø

39. a(b+c)
C = (pi)d
5
Edge³
Ab+ac

40. An Angle that'S 180°
Straight Angle
F(x) + c
x - x(SR3) - 2x
P=4s (s=side)

41. X is the opposite of
Factors are few - multiples are many.
5 - 12 - 13
20.5
X

42. The Perimeter of a Square
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
M= (Y1-Y2)/(X1-X2)
x²+2xy+y²
P=4s (s=side)

43. 7 divided by Ø
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.)
Null
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
V=l×w×h

44. What are the roots of the quadrinomial x^2 + 2x + 1?
A central angle is an angle formed by 2 radii.
87.5%
The two xes after factoring.
12.5%

45. Perfect Squares 1-15
Ø
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
71 - 73 - 79
The interesection of A and B.

46. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
4096
Ab-ac
360°
True

47. 4.809 X 10^7 =
12! / 5!7! = 792
.0004809 X 10^11
x^(6-3) = x^3
1

48. 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?
7 / 1000
N! / (k!)(n-k)!
1/a^6
Ab=k (k is a constant)

49. Slope
Even prime number
y2-y1/x2-x1
Ø Ø=Ø
52

50. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
3
The point of intersection of the systems.
x(x - y + 1)