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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. X is the opposite of
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
X
x - x+1 - x+2
(a - b)(a + b)

2. The Perimeter of a Square
72
P=4s (s=side)
3
An isosceles right triangle.

3. A number is divisible by 4 is...
A set with a number of elements which can be counted.
Null
360°
Its last two digits are divisible by 4.

4. Rate
Triangles with same measure and same side lengths.
D/t (distance)/(time)
C = (pi)d
180

5. Ø Is
Smallest positive integer
EVEN
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The sum of the digits is a multiple of 9.

6. Simplify 9^(1/2) X 4^3 X 2^(-6)?
48
Every number
3
Sum of digits is a multiple of 3 and the last digit is even.

7. 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.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
27
Positive

8. Volume of a rectangular solid
NOT A PRIME
an angle that is less than 90°
(length)(width)(height)
True

9. Write 10 -843 X 10^7 in scientific notation
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x(x - y + 1)
Undefined
1.0843 X 10^11

10. Probability of an Event
M= (Y1-Y2)/(X1-X2)
Factors are few - multiples are many.
6
P(E) = number of favorable outcomes/total number of possible outcomes

11. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
360°
72
The objects within a set.

12. Probability of Event all cases
Ø=P(E)=1
90
A tangent is a line that only touches one point on the circumference of a circle.
Null

13. Number of degrees in a triangle
360°
Even prime number
V=l×w×h
180

14. The product of odd number of negative numbers
Negative
x^(4+7) = x^11
Lies opposite the greater angle
4a^2(b)

15. What is the graph of f(x) shifted downward c units or spaces?
All numbers multiples of 1.
F(x) - c
A natural number greater than 1 that has no positive divisors other than 1 and itself
The set of input values for a function.

16. The consecutive angles in a parallelogram equal
180°
The set of elements found in both A and B.
M= (Y1-Y2)/(X1-X2)
1

17. Formula for the area of a circle?
12! / 5!7! = 792
A = pi(r^2)
360°
A multiple of every integer

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

19. What is the order of operations?
y = 2x^2 - 3
3
8
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

20. 50 < all primes< 60
x²+2xy+y²
ODD number
180°
53 - 59

21. Ø divided by 7
A chord is a line segment joining two points on a circle.
2 & 3/7
Ø
The second graph is less steep.

22. (2²)³
20.5
(a - b)(a + b)
16.6666%
26

23. What are the integers?
All numbers multiples of 1.
Parallelogram
3x - 4x - 5x
11 - 13 - 17 - 19

24. What is a central angle?
N! / (k!)(n-k)!
41 - 43 - 47
A central angle is an angle formed by 2 radii.
(n-2) x 180

25. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(base*height) / 2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
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

26. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Infinite.
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
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
NOT A PRIME

27. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
1 - P(E)
360°
A 30-60-90 triangle.

28. The Perimeter of a rectangle
P=2(l+w)
The shortest arc between points A and B on a circle'S diameter.
1
(x+y)(x+y)

29. a(b-c)
Do not have slopes!
Straight Angle
Ab-ac
Ø=P(E)=1

30. x^6 / x^3
F(x) + c
2sqrt6
x^(6-3) = x^3
The point of intersection of the systems.

31. 7 divided by Ø
C = 2(pi)r
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Null
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.

32. 3 is the opposite of
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...
A= (1/2) b*h
V=side³
3

33. Formula for the area of a sector of a circle?
zero
Sector area = (n/360) X (pi)r^2
(p + q)/5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

34. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
M
10! / 3!(10-3)! = 120
23 - 29
Do not have slopes!

35. What is the 'Range' of a series of numbers?
The union of A and B.
A chord is a line segment joining two points on a circle.
Null
The greatest value minus the smallest.

36. What is the maximum value for the function g(x) = (-2x^2) -1?
P(E) = ø
F(x) - c
(2x7)³
1

37. 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)
6
27^(-4)
4.25 - 6 - 22
3

38. 2³×7³
Ab=k (k is a constant)
(2x7)³
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...
Yes - like radicals can be added/subtracted.

39. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
52
Cd
(rate)(time) d=rt
Pi is the ratio of a circle'S circumference to its diameter.

40. -3³
27
(base*height) / 2
1
N! / (n-k)!

41. Consecutive integers
Undefined
x - x+1 - x+2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
13pi / 2

42. Factor a^2 + 2ab + b^2
The point of intersection of the systems.
83.333%
4096
(a + b)^2

43. 30< all primes<40
31 - 37
NOT A PRIME
20.5
13pi / 2

44. When multiplying exponential #s with the same base - you do this to the exponents...
1:sqrt3:2
Add them. i.e. (5^7) * (5^3) = 5^10
Yes - like radicals can be added/subtracted.
1

45. What are the irrational numbers?

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46. 30 60 90
3x - 4x - 5x
4096
2²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

47. 1n
Right
1
y = 2x^2 - 3
4:5

48. Perfect Squares 1-15
Sum of digits is a multiple of 3 and the last digit is even.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A reflection about the origin.
10! / 3!(10-3)! = 120

49. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Ø
2sqrt6
The objects within a set.
Do not have slopes!

50. x^4 + x^7 =
1:1:sqrt2
x^(4+7) = x^11
(x+y)(x-y)
P(E) = 1/1 = 1