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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. 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?
angle that is greater than 90° but less than 180°
V=side³
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= (1/2) b*h

2. 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.
P(E) = ø
A = pi(r^2)
1/a^6

3. Evaluate (4^3)^2
V=Lwh
1
4096
180

4. What is a major arc?

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5. Pi is a ratio of what to what?

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6. Can you simplify sqrt72?
2²
An infinite set.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(a - b)(a + b)

7. Describe the relationship between the graphs of x^2 and (1/2)x^2
23 - 29
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
$11 -448
The second graph is less steep.

8. -3²
M
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
9

9. Probability of an Event
Even prime number
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x²+2xy+y²
P(E) = number of favorable outcomes/total number of possible outcomes

10. What are the rational numbers?
A set with a number of elements which can be counted.
The two xes after factoring.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)

11. (x-y)²
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
An is positive
x²-2xy+y²
Distance=rate×time or d=rt

12. How to determine percent decrease?
x - x+1 - x+2
(amount of decrease/original price) x 100%
(x+y)(x+y)
Even prime number

13. What is the 'Solution' for a system of linear equations?
y = 2x^2 - 3
The point of intersection of the systems.
(a - b)(a + b)
62.5%

14. One is (a prime or not?)
13
The interesection of A and B.
NOT A PRIME
(distance)/(rate) d/r

15. How to recognize a # as a multiple of 3
130pi
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)
x²+2xy+y²
12sqrt2

16. binomial product of (x-y)²
(n-2) x 180
(x+y)(x-y)
Two angles whose sum is 90.
P(E) = 1/1 = 1

17. What is the set of elements which can be found in either A or B?
P(E) = number of favorable outcomes/total number of possible outcomes
x(x - y + 1)
V=Lwh
The union of A and B.

18. 7 divided by Ø
The second graph is less steep.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
72
Null

19. Circumference of a circle?
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
Every number
Relationship cannot be determined (what if x is negative?)
Diameter(Pi)

20. x^4 + x^7 =
F(x) + c
x^(4+7) = x^11
(a - b)(a + b)
The set of input values for a function.

21. 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)
4.25 - 6 - 22
The direction of the inequality is reversed.
A=pi*(r^2)
90pi

22. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Pi is the ratio of a circle'S circumference to its diameter.
(x+y)(x-y)

23. If an inequality is multiplied or divided by a negative number....
Null
The direction of the inequality is reversed.
x^(4+7) = x^11
A+c<b+c

24. 6w^2 - w - 15 = 0
= (actual decrease/Original amount) x 100%
V=l×w×h
Even
3/2 - 5/3

25. What are complementary angles?
Two angles whose sum is 90.
6
5
Positive

26. 30 60 90
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
x - x(SR3) - 2x
1/x
2(pi)r

27. What is a finite set?
A set with a number of elements which can be counted.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The sum of digits is divisible by 9.
F(x-c)

28. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Negative
180
V=l×w×h

29. How to recognize a # as a multiple of 9
62.5%
83.333%
20.5
The sum of the digits is a multiple of 9.

30. 4.809 X 10^7 =
(rate)(time) d=rt
Indeterminable.
28
.0004809 X 10^11

31. 25^(1/2) or sqrt. 25 =
Ø Ø=Ø
An is positive
An infinite set.
5 OR -5

32. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
3
The set of elements found in both A and B.
5 - 12 - 13
Cd

33. Formula to calculate arc length?
20.5
Cd
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

34. What are 'Supplementary angles?'
28
23 - 29
Two angles whose sum is 180.
x - x+1 - x+2

35. 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)?
26
y = (x + 5)/2
P(E) = 1/1 = 1
90

36. bn
1
B?b?b (where b is used as a factor n times)
The direction of the inequality is reversed.
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.

37. Find distance when given time and rate
.0004809 X 10^11
D=rt so r= d/t and t=d/r
(n-2) x 180
B?b?b (where b is used as a factor n times)

38. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
x²-2xy+y²
Two angles whose sum is 180.
12! / 5!7! = 792
0

39. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
The empty set - denoted by a circle with a diagonal through it.
$3 -500 in the 9% and $2 -500 in the 7%.
3x - 4x - 5x
The objects within a set.

40. What are the real numbers?
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
72
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x^(4+7) = x^11

41. factored binomial product of (x-y)²
y = (x + 5)/2
441000 = 1 10 10 10 21 * 21
Parallelogram
x²-2xy+y²

42. What is a percent?
3x - 4x - 5x
A percent is a fraction whose denominator is 100.
y = (x + 5)/2
The longest arc between points A and B on a circle'S diameter.

43. Area of a rectangle
1/a^6
A = length x width
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
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

44. To multiply a number by 10^x
P(E) = 1/1 = 1
Members or elements
Move the decimal point to the right x places
3/2 - 5/3

45. X is the opposite of
5 - 12 - 13
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
X
Parallelogram

46. Legs: 3 - 4. Hypotenuse?
F(x) + c
5
A+c<b+c
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)

47. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
12.5%
20.5
The interesection of A and B.
3

48. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
P(E) = 1/1 = 1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
C = (pi)d

49. (x-y)(x+y)
4.25 - 6 - 22
The point of intersection of the systems.
x²-y²
28. n = 8 - k = 2. n! / k!(n-k)!

50. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Yes - like radicals can be added/subtracted.
Negative
13pi / 2
2.592 kg