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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. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(x+y)(x-y)
180°
28. n = 8 - k = 2. n! / k!(n-k)!
(a - b)^2

2. A number is divisible by 3 if ...
(b + c)
(2x7)³
The sum of its digits is divisible by 3.
71 - 73 - 79

3. 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?
x(x - y + 1)
13
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
20.5

4. If a is positive - an is
20.5
Positive
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1

5. How many 3-digit positive integers are even and do not contain the digit 4?
M
62.5%
288 (8 9 4)
5 OR -5

6. For any number x
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x - x(SR3) - 2x
Can be negative - zero - or positive
1/x

7. 7/8 in percent?
87.5%
83.333%
Right
Relationship cannot be determined (what if x is negative?)

8. Ø is
A multiple of every integer
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
F(x-c)
90

9. What are the members or elements of a set?
The objects within a set.
Move the decimal point to the right x places
C=2 x pi x r OR pi x D
F(x + c)

10. What are the real numbers?
(a - b)(a + b)
Positive
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)
An is positive

11. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
D=rt so r= d/t and t=d/r
2²
4725
1

12. 3/8 in percent?
10
A²+b²=c²
x²-y²
37.5%

13. What number between 70 & 75 - inclusive - has the greatest number of factors?
The sum of the digits is a multiple of 9.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Be Zero!
72

14. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
28
(b + c)
9 : 25

15. 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)?
4:5
9
V=l×w×h
y = (x + 5)/2

16. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
61 - 67
90pi
13pi / 2
The set of elements found in both A and B.

17. Ø²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Ø
5 OR -5
2sqrt6

18. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
A chord is a line segment joining two points on a circle.
An angle which is supplementary to an interior angle.
31 - 37
90

19. 2 is the only
The sum of the digits is a multiple of 9.
Right
= (actual decrease/Original amount) x 100%
Even prime number

20. formula for volume of a rectangular solid
A grouping of the members within a set based on a shared characteristic.
Yes - like radicals can be added/subtracted.
V=l×w×h
Relationship cannot be determined (what if x is negative?)

21. Formula to find a circle'S circumference from its diameter?
Even prime number
2.592 kg
48
C = (pi)d

22. (a^-1)/a^5
1/a^6
y = (x + 5)/2
Do not have slopes!
Two angles whose sum is 180.

23. 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
180
Reciprocal
Two equal sides and two equal angles.
Even

24. (x^2)^4
180
1.0843 X 10^11
x^(2(4)) =x^8 = (x^4)^2
(p + q)/5

25. Write 10 -843 X 10^7 in scientific notation
(p + q)/5
1.0843 X 10^11
52
(distance)/(rate) d/r

26. What percent of 40 is 22?
The set of output values for a function.
12sqrt2
55%
(2x7)³

27. Slope of any line that goes up from left to right
P=4s (s=side)
Yes - like radicals can be added/subtracted.
180 degrees
Positive

28. What is the empty set?
Two equal sides and two equal angles.
A set with no members - denoted by a circle with a diagonal through it.
27
A-b is negative

29. Can you simplify sqrt72?
The set of output values for a function.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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 - b)(a + b)

30. a(b+c)
x - x(SR3) - 2x
$11 -448
Ab+ac
The set of elements found in both A and B.

31. What are the rational numbers?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
D/t (distance)/(time)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

32. A number is divisible by 6 if...
441000 = 1 10 10 10 21 * 21
Its divisible by 2 and by 3.
x^(6-3) = x^3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

33. x^2 = 9. What is the value of x?
(b + c)
1/a^6
3 - -3
Pi(diameter)

34. Can you add sqrt 3 and sqrt 5?
5 - 12 - 13
72
No - only like radicals can be added.
All numbers multiples of 1.

35. x^4 + x^7 =
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x^(4+7) = x^11
Triangles with same measure and same side lengths.
The set of elements which can be found in either A or B.

36. If a product of two numbers is Ø - one number must be
4a^2(b)
A natural number greater than 1 that has no positive divisors other than 1 and itself
Ø
Null

37. Reduce: 4.8 : 0.8 : 1.6
Sum of digits is a multiple of 3 and the last digit is even.
V=Lwh
6 : 1 : 2
All numbers multiples of 1.

38. X is the opposite of
3
0
Triangles with same measure and same side lengths.
X

39. b¹
An angle which is supplementary to an interior angle.
1
An infinite set.
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)

40. 1/2 divided by 3/7 is the same as
1.0843 X 10^11
1/2 times 7/3
The set of input values for a function.
(amount of decrease/original price) x 100%

41. binomial product of (x+y)(x-y)
4:5
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A=½bh
x²-y²

42. What is the 'Range' of a function?
90°
Subtract them. i.e (5^7)/(5^3)= 5^4
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of output values for a function.

43. When dividing exponential #s with the same base - you do this to the exponents...
The empty set - denoted by a circle with a diagonal through it.
A = length x width
Subtract them. i.e (5^7)/(5^3)= 5^4
F(x-c)

44. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
360/n
441000 = 1 10 10 10 21 * 21
A 30-60-90 triangle.
P=4s (s=side)

45. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
180°
Diameter(Pi)
V=Lwh

46. To increase a number by x%
Ø
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
An arc is a portion of a circumference of a circle.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

47. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Add them. i.e. (5^7) * (5^3) = 5^10
Negative
90°

48. The sum of the measures of the n angles in a polygon with n sides
M
(x+y)(x+y)
(n-2) x 180
Distance=rate×time or d=rt

49. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
4a^2(b)
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.)
2(pi)r

50. (x+y)²
1
x²+2xy+y²
13
V=side³