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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. How to recognize a # as a multiple of 4
X = Measure of interior angle/Circumference of circle 360
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.)
P= 2L + 2w
M= (Y1-Y2)/(X1-X2)

2. Quadratic Formula
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
3/5
2(pi(r^2))+ 2pirh
D=rt so r= d/t and t=d/r

3. Convert 80% to a fraction
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
3/4
Subtract them. i.e (5^7)/(5^3)= 5^4
4/5

4. How to recognize a # as a multiple of 3
1-sqrroot of 3-2
The sum of the digits is a multiple of 3
A=b*h
P= 2L + 2w

5. Arc length
Subtract them. i.e (5^7)/(5^3)= 5^4
The sum of the digits is a multiple of 3
A=l*w
X = Measure of interior angle/Circumference of circle 360

6. Area of parallelogram
P= 2L + 2w
2/5
3/4
A=b*h

7. Surface area of a sphere
SA= 4pi(r^3)
3/4
M= (Y1-Y2)/(X1-X2)
Add them. i.e. (5^7) * (5^3) = 5^10

8. Side lengths of a 30-60-90 right triangle
1-sqrroot of 3-2
1/3
M= (Y1-Y2)/(X1-X2)
C=2pir OR d*pi

9. Volume of a sphere
V=(4/3)pi(r^3)
1/4
2/5
1-1-sqrroot of 2

10. Convert 60% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
V=Lwh
3/5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

11. Convert 66.66% to a fraction
Sum= (Average of Consecutive #s) * (# of terms in set)
3/5
A= (1/2)b*h
2/3

12. Area of a sector
Pi(r^2)h
M= (Y1-Y2)/(X1-X2)
X = Measure of interior angle/Area of Circle 360
P= 2L + 2w

13. Surface area of a right circular cylinder
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
The sum of the digits is a multiple of 9.
The sum of the digits is a multiple of 3
2(pi(r^2))+ 2pirh

14. Slope given 2 points
SA= 2( Lw + Lh + w*h)
A= (1/2)b*h
M= (Y1-Y2)/(X1-X2)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

15. Find hypotenuse of a right triangle given 2 side lengths
1/8
3/4
A=pi*(r^2)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

16. Area of a trapezoid
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= (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
1/3

17. Find distance when given time and rate
Sum of digits is a multiple of 3 and the last digit is even.
D=rt so r= d/t and t=d/r
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
P= 2L + 2w

18. Area of a circle
Sum of digits is a multiple of 3 and the last digit is even.
A=pi*(r^2)
A=b*h
X = Measure of interior angle/Area of Circle 360

19. Convert 20% to a fraction
2(pi(r^2))+ 2pirh
1/5
SA= 2( Lw + Lh + w*h)
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.)

20. Surface area of a rectangular solid
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
4/5
SA= 2( Lw + Lh + w*h)
1-1-sqrroot of 2

21. Convert 33.33% to a fraction
A=pi*(r^2)
V=Lwh
C=2pir OR d*pi
1/3

22. Convert 12.5% to a fraction
Add them. i.e. (5^7) * (5^3) = 5^10
4/5
1/4
1/8

23. How to find the average of consecutive #s
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)
1/6
1/5
4/5

24. How to recognize if a # is a multiple of 12
X = Measure of interior angle/Circumference of circle 360
1/5
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.)
3/5

25. Convert 25% to a fraction
V=(4/3)pi(r^3)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/4
A= (1/2)b*h

26. When dividing exponential #s with the same base - you do this to the exponents...
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.)
A=b*h
Subtract them. i.e (5^7)/(5^3)= 5^4
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

27. When solving an inequality - flip the sign when you....
3/4
Divide or multiply both sides by a NEGATIVE number
The sum of the digits is a multiple of 3
Sum= (Average of Consecutive #s) * (# of terms in set)

28. Convert 16.66% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/8
1/6
C=2pir OR d*pi

29. Volume of a rectangular box
3/5
V=Lwh
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
V=(4/3)pi(r^3)

30. How to find the sum of consecutive #s
X = Measure of interior angle/Area of Circle 360
2/3
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.)
Sum= (Average of Consecutive #s) * (# of terms in set)

31. How to recognize a # as a multiple of 9
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.
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.)
The sum of the digits is a multiple of 9.

32. Perimeter of a rectangle
Sum= (Average of Consecutive #s) * (# of terms in set)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
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.)
P= 2L + 2w

33. Area of a rectangle
A=l*w
Sum of digits is a multiple of 3 and the last digit is even.
Add them. i.e. (5^7) * (5^3) = 5^10
3/4

34. Area of a triangle
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A= (1/2)b*h
SA= 4pi(r^3)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

35. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
A=b*h
Sum of digits is a multiple of 3 and the last digit is even.
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.)

36. First 10 prime #s
A=b*h
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2(pi(r^2))+ 2pirh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

37. How to recognize a multiple of 6
Sum= (Average of Consecutive #s) * (# of terms in set)
2/5
Sum of digits is a multiple of 3 and the last digit is even.
3/5

38. Convert 75% to a fraction
1/6
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
5/6
3/4

39. Side lengths of a 45-45-90 right triangle
X = Measure of interior angle/Area of Circle 360
Pi(r^2)h
1-1-sqrroot of 2
The sum of the digits is a multiple of 3

40. Circumference of a Circle
C=2pir OR d*pi
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.)
3/4
2/5

41. Perfect Squares 1-15
The sum of the digits is a multiple of 9.
V=(4/3)pi(r^3)
1/6
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

42. Volume of a right circular cylinder
1-1-sqrroot of 2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
C=2pir OR d*pi
Pi(r^2)h

43. Convert 83.33% to a fraction
5/6
Subtract them. i.e (5^7)/(5^3)= 5^4
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sum= (Average of Consecutive #s) * (# of terms in set)

44. When asked to find the distance between 2 points on a graph use this formula...
1/5
1/3
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
V=(4/3)pi(r^3)

45. Convert 40% to a fraction
2(pi(r^2))+ 2pirh
2/5
1-sqrroot of 3-2
1/3