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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. Side lengths of a 30-60-90 right triangle
1-sqrroot of 3-2
2(pi(r^2))+ 2pirh
M= (Y1-Y2)/(X1-X2)
A= (1/2)b*h

2. How to recognize a # as a multiple of 9
M= (Y1-Y2)/(X1-X2)
C=2pir OR d*pi
1-sqrroot of 3-2
The sum of the digits is a multiple of 9.

3. Convert 60% to a fraction
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
3/5
Pi(r^2)h
Add them. i.e. (5^7) * (5^3) = 5^10

4. How to recognize if a # is a multiple of 12
1-sqrroot of 3-2
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.)
C=2pir OR d*pi

5. Arc length
2/5
X = Measure of interior angle/Circumference of circle 360
1-1-sqrroot of 2
1/8

6. Convert 20% to a fraction
V=Lwh
1/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
SA= 2( Lw + Lh + w*h)

7. How to find the sum of consecutive #s
SA= 4pi(r^3)
Sum= (Average of Consecutive #s) * (# of terms in set)
2(pi(r^2))+ 2pirh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

8. Surface area of a right circular cylinder
3/5
2(pi(r^2))+ 2pirh
X = Measure of interior angle/Area of Circle 360
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.)

9. Convert 16.66% to a fraction
1/8
2(pi(r^2))+ 2pirh
1/6
V=(4/3)pi(r^3)

10. When multiplying exponential #s with the same base - you do this to the exponents...
Pi(r^2)h
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The sum of the digits is a multiple of 3
Add them. i.e. (5^7) * (5^3) = 5^10

11. Convert 83.33% to a fraction
5/6
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)
The sum of the digits is a multiple of 9.
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

12. First 10 prime #s
V=Lwh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A=b*h
2(pi(r^2))+ 2pirh

13. Area of a triangle
2/5
A= (1/2)b*h
Add them. i.e. (5^7) * (5^3) = 5^10
1/5

14. Area of a trapezoid
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The sum of the digits is a multiple of 9.
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

15. Perfect Squares 1-15
V=Lwh
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The sum of the digits is a multiple of 9.
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

16. Perimeter of a rectangle
A=b*h
SA= 2( Lw + Lh + w*h)
P= 2L + 2w
X = Measure of interior angle/Area of Circle 360

17. Convert 40% to a fraction
Divide or multiply both sides by a NEGATIVE number
X = Measure of interior angle/Area of Circle 360
2/5
V=(4/3)pi(r^3)

18. Convert 80% to a fraction
V=(4/3)pi(r^3)
3/4
M= (Y1-Y2)/(X1-X2)
4/5

19. How to recognize a # as a multiple of 4
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.)
Pi(r^2)h
A= (1/2)b*h
SA= 2( Lw + Lh + w*h)

20. Volume of a rectangular box
V=Lwh
M= (Y1-Y2)/(X1-X2)
1/4
SA= 4pi(r^3)

21. Side lengths of a 45-45-90 right triangle
1-sqrroot of 3-2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/6
1-1-sqrroot of 2

22. Surface area of a sphere
V=(4/3)pi(r^3)
SA= 4pi(r^3)
A=l*w
2/3

23. Circumference of a Circle
2/5
1/8
C=2pir OR d*pi
A=b*h

24. When solving an inequality - flip the sign when you....
Divide or multiply both sides by a NEGATIVE number
Sum of digits is a multiple of 3 and the last digit is even.
X = Measure of interior angle/Area of Circle 360
The sum of the digits is a multiple of 9.

25. Convert 12.5% to a fraction
1/8
1/4
4/5
2/5

26. Area of parallelogram
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
P= 2L + 2w
A=b*h
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.)

27. How to recognize a multiple of 6
3/4
P= 2L + 2w
1-sqrroot of 3-2
Sum of digits is a multiple of 3 and the last digit is even.

28. When asked to find the distance between 2 points on a graph use this formula...
C=2pir OR d*pi
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
SA= 4pi(r^3)
A=l*w

29. Convert 75% to a fraction
3/4
V=(4/3)pi(r^3)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A=b*h

30. Surface area of a rectangular solid
SA= 2( Lw + Lh + w*h)
Divide or multiply both sides by a NEGATIVE number
1/6
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)

31. Volume of a right circular cylinder
Pi(r^2)h
V=Lwh
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.)

32. Volume of a sphere
5/6
2/5
SA= 4pi(r^3)
V=(4/3)pi(r^3)

33. Slope given 2 points
Subtract them. i.e (5^7)/(5^3)= 5^4
Pi(r^2)h
P= 2L + 2w
M= (Y1-Y2)/(X1-X2)

34. Find hypotenuse of a right triangle given 2 side lengths
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
V=Lwh
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
SA= 4pi(r^3)

35. Area of a rectangle
SA= 4pi(r^3)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Add them. i.e. (5^7) * (5^3) = 5^10
A=l*w

36. How to recognize a # as a multiple of 3
Sum= (Average of Consecutive #s) * (# of terms in set)
The sum of the digits is a multiple of 3
C=2pir OR d*pi
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.)

37. Convert 25% to a fraction
M= (Y1-Y2)/(X1-X2)
1/5
1/4
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.)

38. Area of a circle
A=pi*(r^2)
Sum of digits is a multiple of 3 and the last digit is even.
Add them. i.e. (5^7) * (5^3) = 5^10
3/5

39. Quadratic Formula
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
D=rt so r= d/t and t=d/r
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
P= 2L + 2w

40. Find distance when given time and rate
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.)
1/3
D=rt so r= d/t and t=d/r
Divide or multiply both sides by a NEGATIVE number

41. Area of a sector
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
M= (Y1-Y2)/(X1-X2)
X = Measure of interior angle/Area of Circle 360
Subtract them. i.e (5^7)/(5^3)= 5^4

42. How to find the average of consecutive #s
V=(4/3)pi(r^3)
Sum of digits is a multiple of 3 and the last digit is even.
3/4
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)

43. Convert 66.66% to a fraction
P= 2L + 2w
Add them. i.e. (5^7) * (5^3) = 5^10
2/3
1/8

44. Convert 33.33% to a fraction
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.)
1/3
2/5
A=b*h

45. When dividing exponential #s with the same base - you do this to the exponents...
Pi(r^2)h
A= (1/2)b*h
D=rt so r= d/t and t=d/r
Subtract them. i.e (5^7)/(5^3)= 5^4