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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. What is a percent?
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.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A percent is a fraction whose denominator is 100.
(pi)r²

2. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
A central angle is an angle formed by 2 radii.
Ø
90

3. What is a minor arc?

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4. Volume of a rectangular box
V=Lwh
1
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
6

5. 20<all primes<30
Ø
23 - 29
P=4s (s=side)
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.)

6. Ø is a multiple of
A central angle is an angle formed by 2 radii.
71 - 73 - 79
Every number
x(x - y + 1)

7. The sum of all angles around a point
C=2 x pi x r OR pi x D
70
28. n = 8 - k = 2. n! / k!(n-k)!
360°

8. Slope of any line that goes down as you move from left to right is
Straight Angle
N! / (k!)(n-k)!
An isosceles right triangle.
Negative

9. Ø Is neither
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
9 : 25
Positive or Negative
P=4s (s=side)

10. Obtuse Angle
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
180°
A = pi(r^2)
angle that is greater than 90° but less than 180°

11. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
3/2 - 5/3
6
2^9 / 2 = 256

12. Perfect Squares 1-15
A<-b
Ø
3 - 4 - 5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

13. Which is greater? 64^5 or 16^8
.0004809 X 10^11
Positive
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A set with no members - denoted by a circle with a diagonal through it.

14. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
P= 2L + 2w
C=2 x pi x r OR pi x D
1 - P(E)

15. What is an exterior angle?
An angle which is supplementary to an interior angle.
18
(a + b)^2
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.

16. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
A= (1/2) b*h
A central angle is an angle formed by 2 radii.
Ø Ø=Ø

17. A quadrilateral where two diagonals bisect each other
Parallelogram
1/x
31 - 37
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. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
A grouping of the members within a set based on a shared characteristic.
F(x + c)
3

19. An Angle that'S 180°
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x²+2xy+y²
F(x-c)
Straight Angle

20. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
A subset.
Undefined
The set of elements which can be found in either A or B.

21. 1 is a divisor of
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.)
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
28
Every number

22. The ratio of the areas of two similar polygons is ...
4:5
(amount of decrease/original price) x 100%
26
... the square of the ratios of the corresponding sides.

23. What is the area of a regular hexagon with side 6?
y/x is a constant
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1.7
Members or elements

24. Legs 5 - 12. Hypotenuse?
The union of A and B.
(2x7)³
13
2.592 kg

25. 7 divided by Ø
A subset.
B?b?b (where b is used as a factor n times)
Null
180

26. What is the ratio of the sides of a 30-60-90 triangle?
2 & 3/7
1:sqrt3:2
x²+2xy+y²
(n-2) x 180

27. How do you solve proportions? a/b=c/d
P= 2L + 2w
Smallest positive integer
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
2.592 kg

28. The perimeter of a square is 48 inches. The length of its diagonal is:
1.0843 X 10^11
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Positive
12sqrt2

29. Probability of E not occurring:
28
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
1 - P(E)
An expression with just one term (-6x - 2a^2)

30. What are the members or elements of a set?
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)
The objects within a set.
Cd
C=2 x pi x r OR pi x D

31. 50 < all primes< 60
M= (Y1-Y2)/(X1-X2)
53 - 59
.0004809 X 10^11
Positive

32. Legs 6 - 8. Hypotenuse?
y = (x + 5)/2
Subtract them. i.e (5^7)/(5^3)= 5^4
130pi
10

33. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
No - only like radicals can be added.
2 & 3/7
(a + b)^2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

34. What is a chord of a circle?
360°
1/x
Right
A chord is a line segment joining two points on a circle.

35. (12sqrt15) / (2sqrt5) =
C = 2(pi)r
2^9 / 2 = 256
An expression with just one term (-6x - 2a^2)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

36. How many multiples does a given number have?
True
70
Infinite.
The objects within a set.

37. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(amount of decrease/original price) x 100%
Be Zero!
4a^2(b)

38. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
y/x is a constant
A= (1/2) b*h
23 - 29

39. A number is divisible by 9 if...
The sum of digits is divisible by 9.
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
Two angles whose sum is 90.
(a + b)^2

40. (2²)³
61 - 67
26
1
A natural number greater than 1 that has no positive divisors other than 1 and itself

41. What number between 70 & 75 - inclusive - has the greatest number of factors?
41 - 43 - 47
180 degrees
72
1/a^6

42. Circumference of a circle
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Pi(diameter)
(distance)/(rate) d/r
The set of elements found in both A and B.

43. Ø is
A = pi(r^2)
Ø
Even
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)

44. 30 60 90
Undefined
Ø
5 - 12 - 13
A subset.

45. To decrease a number by x%
The sum of its digits is divisible by 3.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The steeper the slope.
V=Lwh

46. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2.592 kg
2
67 - 71 - 73
2²

47. Evaluate 4/11 + 11/12
1/x
1 & 37/132
1
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)

48. What does scientific notation mean?
Be Zero!
A percent is a fraction whose denominator is 100.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

49. Legs: 3 - 4. Hypotenuse?
No - only like radicals can be added.
Factors are few - multiples are many.
(a + b)^2
5

50. What are the real numbers?
An isosceles right triangle.
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)
(b + c)