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GRE Math: Quantitative Formulas

Subjects : gre, math

Instructions:

Answer 45 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. Volume of a sphere
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.)
1-1-sqrroot of 2
C=2pir OR d*pi
V=(4/3)pi(r^3)

2. Surface area of a sphere
SA= 4pi(r^3)
1-sqrroot of 3-2
Subtract them. i.e (5^7)/(5^3)= 5^4
Sum= (Average of Consecutive #s) * (# of terms in set)

3. Convert 66.66% to a fraction
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.)
1/6
2/3
Pi(r^2)h

4. Perimeter of a rectangle
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
5/6
P= 2L + 2w
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.)

5. Convert 80% to a fraction
4/5
3/4
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/3

6. First 10 prime #s
A=pi*(r^2)
3/5
Add them. i.e. (5^7) * (5^3) = 5^10
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

7. Convert 25% to a fraction
1/4
A=pi*(r^2)
Divide or multiply both sides by a NEGATIVE number
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

8. Area of a triangle
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
D=rt so r= d/t and t=d/r
A= (1/2)b*h
A=l*w

9. Quadratic Formula
1-1-sqrroot of 2
V=(4/3)pi(r^3)
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.)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

10. Area of a trapezoid
2/5
The sum of the digits is a multiple of 3
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

11. Area of parallelogram
X = Measure of interior angle/Area of Circle 360
1-1-sqrroot of 2
A=b*h
C=2pir OR d*pi

12. Find hypotenuse of a right triangle given 2 side lengths
2/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/4
1/3

13. When solving an inequality - flip the sign when you....
SA= 2( Lw + Lh + w*h)
Divide or multiply both sides by a NEGATIVE number
2/5
2(pi(r^2))+ 2pirh

14. How to find the sum of consecutive #s
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/3
2/3
Sum= (Average of Consecutive #s) * (# of terms in set)

15. How to recognize a # as a multiple of 4
SA= 4pi(r^3)
1/6
Sum of digits is a multiple of 3 and the last digit is even.
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.)

16. Convert 83.33% to a fraction
5/6
1/8
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.)
4/5

17. Convert 12.5% to a fraction
2/3
1/8
C=2pir OR d*pi
1/4

18. Convert 40% to a fraction
1/6
2/3
M= (Y1-Y2)/(X1-X2)
2/5

19. How to find the average of consecutive #s
2/3
Take the average of the largest and smallest # in the set. (i.e. for the set of consecutive #s 5....172 would be (172+5)/(2)= 88.5)
1/8
1-sqrroot of 3-2

20. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
SA= 4pi(r^3)
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
4/5

21. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
Sum= (Average of Consecutive #s) * (# of terms in set)
4/5
X = Measure of interior angle/Circumference of circle 360

22. Arc length
2/3
Sum of digits is a multiple of 3 and the last digit is even.
C=2pir OR d*pi
X = Measure of interior angle/Circumference of circle 360

23. Area of a circle
1/6
5/6
A=pi*(r^2)
1-sqrroot of 3-2

24. How to recognize if a # is a multiple of 12
1/6
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.)
2/3
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

25. Surface area of a rectangular solid
C=2pir OR d*pi
4/5
A=l*w
SA= 2( Lw + Lh + w*h)

26. Perfect Squares 1-15
A=b*h
A=l*w
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/5

27. Volume of a rectangular box
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.)
4/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
V=Lwh

28. Area of a rectangle
4/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/8
A=l*w

29. Convert 75% to a fraction
3/4
2/5
A=pi*(r^2)
The sum of the digits is a multiple of 9.

30. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
SA= 2( Lw + Lh + w*h)
The sum of the digits is a multiple of 3
1/5

31. Find distance when given time and rate
A=l*w
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.)
D=rt so r= d/t and t=d/r
SA= 2( Lw + Lh + w*h)

32. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
2/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
V=Lwh

33. Convert 33.33% to a fraction
2/5
Add them. i.e. (5^7) * (5^3) = 5^10
Subtract them. i.e (5^7)/(5^3)= 5^4
1/3

34. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
Divide or multiply both sides by a NEGATIVE number
The sum of the digits is a multiple of 3
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

35. Side lengths of a 45-45-90 right triangle
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.)
1-1-sqrroot of 2
5/6
1/6

36. Convert 16.66% to a fraction
1/4
P= 2L + 2w
1/6
X = Measure of interior angle/Circumference of circle 360

37. When asked to find the distance between 2 points on a graph use this formula...
2/5
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/3
A=pi*(r^2)

38. Side lengths of a 30-60-90 right triangle
A=pi*(r^2)
3/4
X = Measure of interior angle/Area of Circle 360
1-sqrroot of 3-2

39. Convert 60% to a fraction
C=2pir OR d*pi
3/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
X = Measure of interior angle/Area of Circle 360

40. Circumference of a Circle
C=2pir OR d*pi
2/3
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

41. Surface area of a right circular cylinder
A=b*h
2(pi(r^2))+ 2pirh
2/3
Subtract them. i.e (5^7)/(5^3)= 5^4

42. How to recognize a # as a multiple of 3
The sum of the digits is a multiple of 3
Divide or multiply both sides by a NEGATIVE number
C=2pir OR d*pi
A= (1/2)b*h

43. Convert 20% to a fraction
D=rt so r= d/t and t=d/r
1/5
Sum= (Average of Consecutive #s) * (# of terms in set)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

44. Area of a sector
X = Measure of interior angle/Area of Circle 360
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Subtract them. i.e (5^7)/(5^3)= 5^4
3/5

45. Volume of a right circular cylinder
Pi(r^2)h
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
A=pi*(r^2)
The sum of the digits is a multiple of 9.