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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. Consecutive integers
70
72
72
x - x+1 - x+2

2. What is the 'union' of A and B?
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 set of elements which can be found in either A or B.
27
28. n = 8 - k = 2. n! / k!(n-k)!

3. If a is positive - an is
Positive
62.5%
An infinite set.
9 & 6/7

4. Legs: 3 - 4. Hypotenuse?
55%
5
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
37.5%

5. What is the 'Range' of a series of numbers?
4.25 - 6 - 22
The greatest value minus the smallest.
(a + b)^2
10

6. factored binomial product of (x-y)²
28. n = 8 - k = 2. n! / k!(n-k)!
The sum of its digits is divisible by 3.
x²-2xy+y²
13

7. The Perimeter of a Square
67 - 71 - 73
P=4s (s=side)
P= 2L + 2w
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

8. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
55%
Its divisible by 2 and by 3.
A reflection about the origin.
31 - 37

9. b¹
x²-2xy+y²
2 & 3/7
F(x-c)
1

10. Solve the quadratic equation ax^2 + bx + c= 0
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4096
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
360°

11. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The interesection of A and B.
(base*height) / 2

12. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
1
an angle that is less than 90°
2
55%

13. P and r are factors of 100. What is greater - pr or 100?
1/2 times 7/3
Indeterminable.
Diameter(Pi)
The point of intersection of the systems.

14. In any polygon - all external angles equal up to
28. n = 8 - k = 2. n! / k!(n-k)!
Lies opposite the greater angle
Edge³
360°

15. What are the integers?
180°
All numbers multiples of 1.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
180 degrees

16. 1 is a divisor of
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2sqrt6
Every number
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

17. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1/2 times 7/3
2^9 / 2 = 256
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...

18. 1/Ø=null If a>b then
The set of elements which can be found in either A or B.
A+c<b+c
A<-b
441000 = 1 10 10 10 21 * 21

19. -3³
1/a^6
27
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A-b is negative

20. -3²
20.5
1
0
9

21. x^6 / x^3
x^(6-3) = x^3
4a^2(b)
F(x) + c
360/n

22. How to determine percent decrease?
F(x + c)
(amount of decrease/original price) x 100%
No - only like radicals can be added.
90pi

23. 10<all primes<20
11 - 13 - 17 - 19
N! / (k!)(n-k)!
37.5%
500

24. Circumference of a circle
Pi(diameter)
A set with no members - denoted by a circle with a diagonal through it.
83.333%
Ø

25. What is a tangent?
y = 2x^2 - 3
1:sqrt3:2
A tangent is a line that only touches one point on the circumference of a circle.
1

26. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1/2 times 7/3
1
52
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

27. a<b then a - b is positive or negative?
The objects within a set.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A+c<b+c
A-b is negative

28. What is a percent?
Straight Angle
441000 = 1 10 10 10 21 * 21
A percent is a fraction whose denominator is 100.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

29. 30 60 90
3x - 4x - 5x
Positive or Negative
N! / (k!)(n-k)!
(a - b)^2

30. What is a major arc?

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31. For any number x
Ø
The shortest arc between points A and B on a circle'S diameter.
Can be negative - zero - or positive
(rate)(time) d=rt

32. (6sqrt3) x (2sqrt5) =
1:sqrt3:2
3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

33. 3/8 in percent?
37.5%
C=2 x pi x r OR pi x D
Two equal sides and two equal angles.
D/t (distance)/(time)

34. What are the smallest three prime numbers greater than 65?
Ø=P(E)=1
V=l×w×h
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.
67 - 71 - 73

35. What is the set of elements which can be found in either A or B?
Diameter(Pi)
The union of A and B.
A=pi*(r^2)
12! / 5!7! = 792

36. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1.7
F(x) - c
(a - b)(a + b)

37. Probability of Event all cases
360°
13pi / 2
360/n
Ø=P(E)=1

38. 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
13
Diameter(Pi)
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)

39. What is the 'domain' of a function?
The set of input values for a function.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1
The overlapping sections.

40. Ø is a multiple of
x^(4+7) = x^11
1/2 times 7/3
Every number
Ø

41. 1/6 in percent?
An infinite set.
0
16.6666%
360/n

42. What are the irrational numbers?

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43. a(b+c)
Ø
Ab+ac
D/t (distance)/(time)
The longest arc between points A and B on a circle'S diameter.

44. 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?
10
9 : 25
Do not have slopes!
A multiple of every integer

45. a^0 =
A 30-60-90 triangle.
All numbers multiples of 1.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1

46. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
Positive or Negative
Negative
Sum of digits is a multiple of 3 and the last digit is even.
2.592 kg

47. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
Indeterminable.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
1.0843 X 10^11

48. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
Its last two digits are divisible by 4.
The set of input values for a function.
3

49. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
1 - P(E)
28. n = 8 - k = 2. n! / k!(n-k)!
A multiple of every integer
(a - b)^2

50. Can you subtract 3sqrt4 from sqrt4?
A=(base)(height)
10
No - only like radicals can be added.
Yes - like radicals can be added/subtracted.