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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. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
The interesection of A and B.
72
0

2. -3³
27
Sum of digits is a multiple of 3 and the last digit is even.
x²-2xy+y²
x²+2xy+y²

3. Vertical lines
x²-y²
Even prime number
55%
Do not have slopes!

4. Ø²
The point of intersection of the systems.
P(E) = 1/1 = 1
Yes - like radicals can be added/subtracted.
Ø

5. The objects in a set are called two names:
Members or elements
angle that is greater than 90° but less than 180°
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
Lies opposite the greater angle

6. How to recognize a multiple of 6
P(E) = ø
P(E) = 1/1 = 1
Sum of digits is a multiple of 3 and the last digit is even.
P(E) = number of favorable outcomes/total number of possible outcomes

7. Probability of an Event
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
67 - 71 - 73
P(E) = number of favorable outcomes/total number of possible outcomes
The longest arc between points A and B on a circle'S diameter.

8. The only number that is equal to its opposite
26
Ø Ø=Ø
71 - 73 - 79
Undefined - because we can'T divide by 0.

9. What is the set of elements found in both A and B?
(amount of decrease/original price) x 100%
F(x) + c
The interesection of A and B.
A set with a number of elements which can be counted.

10. How many multiples does a given number have?
An infinite set.
1.7
Add them. i.e. (5^7) * (5^3) = 5^10
Infinite.

11. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
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
(a - b)(a + b)
A tangent is a line that only touches one point on the circumference of a circle.

12. Circumference of a circle?
180
(length)(width)(height)
28
Diameter(Pi)

13. What is a subset?
12! / 5!7! = 792
N! / (k!)(n-k)!
A grouping of the members within a set based on a shared characteristic.
288 (8 9 4)

14. In any polygon - all external angles equal up to
$11 -448
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
5 OR -5
360°

15. Evaluate (4^3)^2
C = (pi)d
NOT A PRIME
4096
an angle that is less than 90°

16. Factor a^2 + 2ab + b^2
(a + b)^2
1:1:sqrt2
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)
NOT A PRIME

17. 60 < all primes <70
61 - 67
The steeper the slope.
A²+b²=c²
An arc is a portion of a circumference of a circle.

18. Pi is a ratio of what to what?

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19. x^4 + x^7 =
x^(4+7) = x^11
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.)
(rate)(time) d=rt
Even prime number

20. Factor x^2 - xy + x.
x(x - y + 1)
Ø Ø=Ø
The direction of the inequality is reversed.
1/x

21. a(b+c)
Ab+ac
Sector area = (n/360) X (pi)r^2
Factors are few - multiples are many.
6 : 1 : 2

22. The Perimeter of a Square
F(x-c)
V=Lwh
P=4s (s=side)
Can be negative - zero - or positive

23. If the two sides of a triangle are unequal then the longer side.................
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Lies opposite the greater angle
Smallest positive integer
Edge³

24. formula for the volume of a cube
V=side³
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Add them. i.e. (5^7) * (5^3) = 5^10
1

25. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
2
Two angles whose sum is 180.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

26. What is the surface area of a cylinder with radius 5 and height 8?
Ø
.0004809 X 10^11
130pi
The two xes after factoring.

27. 3 is the opposite of
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
9
Arc length = (n/360) x pi(2r) where n is the number of degrees.
3

28. What are the roots of the quadrinomial x^2 + 2x + 1?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The two xes after factoring.
X
(n-2) x 180

29. The sum of all angles around a point
48
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.
The sum of the digits is a multiple of 9.
360°

30. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
Two angles whose sum is 90.
3
No - only like radicals can be added.

31. 10<all primes<20
3
An isosceles right triangle.
288 (8 9 4)
11 - 13 - 17 - 19

32. The larger the absolute value of the slope...
500
P(E) = 1/1 = 1
52
The steeper the slope.

33. 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?
P(E) = 1/1 = 1
A=(base)(height)
9 : 25
x²-2xy+y²

34. What is the 'Solution' for a system of linear equations?
Can be negative - zero - or positive
The point of intersection of the systems.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(a - b)(a + b)

35. What is the area of a regular hexagon with side 6?
2
an angle that is less than 90°
A reflection about the origin.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

36. What is the graph of f(x) shifted downward c units or spaces?
Add them. i.e. (5^7) * (5^3) = 5^10
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
F(x) - c
12! / 5!7! = 792

37. Define a 'Term' -
Subtract them. i.e (5^7)/(5^3)= 5^4
Ab+ac
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)
180

38. If a is positive - an is
A=(base)(height)
53 - 59
Positive
1

39. Define a 'monomial'
Null
Ø Ø=Ø
An expression with just one term (-6x - 2a^2)
Cd

40. formula for area of a triangle
28
A²+b²=c²
8
A=½bh

41. the slope of a line in y=mx+b
A = length x width
M
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Do not have slopes!

42. When dividing exponential #s with the same base - you do this to the exponents...
x^(2(4)) =x^8 = (x^4)^2
53 - 59
71 - 73 - 79
Subtract them. i.e (5^7)/(5^3)= 5^4

43. 1/2 divided by 3/7 is the same as
180
Relationship cannot be determined (what if x is negative?)
1/2 times 7/3
1

44. What is the 'union' of A and B?
A 30-60-90 triangle.
16.6666%
The set of elements which can be found in either A or B.
The overlapping sections.

45. a^2 - b^2
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 - b)(a + b)
3 - -3
x²-2xy+y²

46. Any Horizontal line slope
A chord is a line segment joining two points on a circle.
zero
A tangent is a line that only touches one point on the circumference of a circle.
A multiple of every integer

47. A number is divisible by 3 if ...
10
4:5
1
The sum of its digits is divisible by 3.

48. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
A<-b
The point of intersection of the systems.
1
360°

49. Whats the difference between factors and multiples?
27^(-4)
Add them. i.e. (5^7) * (5^3) = 5^10
2²
Factors are few - multiples are many.

50. What are 'Supplementary angles?'
Undefined - because we can'T divide by 0.
D/t (distance)/(time)
An infinite set.
Two angles whose sum is 180.