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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. Area of a rectangle
A=l*w
X = Measure of interior angle/Area of Circle 360
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.)

2. Side lengths of a 30-60-90 right triangle
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1-sqrroot of 3-2
5/6
M= (Y1-Y2)/(X1-X2)

3. Surface area of a right circular cylinder
2(pi(r^2))+ 2pirh
A=l*w
1-sqrroot of 3-2
SA= 4pi(r^3)

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

5. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/3
Pi(r^2)h
P= 2L + 2w

6. Circumference of a Circle
C=2pir OR d*pi
A=pi*(r^2)
Pi(r^2)h
X = Measure of interior angle/Circumference of circle 360

7. Quadratic Formula
Add them. i.e. (5^7) * (5^3) = 5^10
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Divide or multiply both sides by a NEGATIVE number

8. How to recognize a # as a multiple of 4
1-sqrroot of 3-2
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)
2(pi(r^2))+ 2pirh
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.)

9. Area of a triangle
1/5
A= (1/2)b*h
X = Measure of interior angle/Area of Circle 360
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

10. How to recognize if a # is a multiple of 12
1/3
The sum of the digits is a multiple of 3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
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.)

11. Perfect Squares 1-15
D=rt so r= d/t and t=d/r
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3/4
4/5

12. How to recognize a multiple of 6
2(pi(r^2))+ 2pirh
Sum of digits is a multiple of 3 and the last digit is even.
Add them. i.e. (5^7) * (5^3) = 5^10
D=rt so r= d/t and t=d/r

13. Surface area of a sphere
D=rt so r= d/t and t=d/r
SA= 4pi(r^3)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

14. Perimeter of a rectangle
A=pi*(r^2)
P= 2L + 2w
Pi(r^2)h
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

15. Arc length
X = Measure of interior angle/Circumference of circle 360
Pi(r^2)h
3/4
P= 2L + 2w

16. Volume of a right circular cylinder
A=pi*(r^2)
Pi(r^2)h
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Sum= (Average of Consecutive #s) * (# of terms in set)

17. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
3/4
M= (Y1-Y2)/(X1-X2)
X = Measure of interior angle/Area of Circle 360

18. Find hypotenuse of a right triangle given 2 side lengths
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.)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
SA= 4pi(r^3)

19. Convert 33.33% to a fraction
1/3
V=(4/3)pi(r^3)
A=l*w
5/6

20. How to find the average of consecutive #s
A= (1/2)b*h
X = Measure of interior angle/Circumference of circle 360
A=l*w
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)

21. Convert 12.5% to a fraction
3/5
2/5
SA= 2( Lw + Lh + w*h)
1/8

22. Find distance when given time and rate
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
D=rt so r= d/t and t=d/r
4/5
2(pi(r^2))+ 2pirh

23. Convert 80% to a fraction
A=pi*(r^2)
5/6
4/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

24. Volume of a sphere
M= (Y1-Y2)/(X1-X2)
V=(4/3)pi(r^3)
2(pi(r^2))+ 2pirh
1/6

25. Convert 20% to a fraction
SA= 4pi(r^3)
5/6
D=rt so r= d/t and t=d/r
1/5

26. Convert 25% to a fraction
SA= 2( Lw + Lh + w*h)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A=pi*(r^2)
1/4

27. How to recognize a # as a multiple of 9
1/5
4/5
SA= 2( Lw + Lh + w*h)
The sum of the digits is a multiple of 9.

28. Volume of a rectangular box
2(pi(r^2))+ 2pirh
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Subtract them. i.e (5^7)/(5^3)= 5^4
V=Lwh

29. How to recognize a # as a multiple of 3
1/4
Subtract them. i.e (5^7)/(5^3)= 5^4
1/8
The sum of the digits is a multiple of 3

30. Area of a trapezoid
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
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= 4pi(r^3)
2/3

31. Convert 60% to a fraction
3/5
Pi(r^2)h
SA= 4pi(r^3)
A=l*w

32. Convert 75% to a fraction
X = Measure of interior angle/Circumference of circle 360
The sum of the digits is a multiple of 9.
3/4
X = Measure of interior angle/Area of Circle 360

33. Convert 66.66% to a fraction
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)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

34. Area of parallelogram
A=b*h
C=2pir OR d*pi
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Divide or multiply both sides by a NEGATIVE number

35. When dividing exponential #s with the same base - you do this to the exponents...
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Subtract them. i.e (5^7)/(5^3)= 5^4
1-sqrroot of 3-2
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. Side lengths of a 45-45-90 right triangle
A=b*h
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.)
1-1-sqrroot of 2

37. When asked to find the distance between 2 points on a graph use this formula...
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
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

38. How to find the sum of consecutive #s
The sum of the digits is a multiple of 9.
Sum= (Average of Consecutive #s) * (# of terms in set)
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 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

39. When solving an inequality - flip the sign when you....
V=Lwh
D=rt so r= d/t and t=d/r
Divide or multiply both sides by a NEGATIVE number
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

40. Convert 40% to a fraction
Sum= (Average of Consecutive #s) * (# of terms in set)
X = Measure of interior angle/Area of Circle 360
SA= 4pi(r^3)
2/5

41. Convert 16.66% to a fraction
1/6
1-sqrroot of 3-2
X = Measure of interior angle/Circumference of circle 360
A= (1/2)b*h

42. Convert 83.33% to a fraction
2(pi(r^2))+ 2pirh
The sum of the digits is a multiple of 3
Subtract them. i.e (5^7)/(5^3)= 5^4
5/6

43. Area of a sector
2/3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
X = Measure of interior angle/Area of Circle 360

44. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
1/5
A=b*h
SA= 2( Lw + Lh + w*h)

45. Surface area of a rectangular solid
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)
SA= 4pi(r^3)
SA= 2( Lw + Lh + w*h)
M= (Y1-Y2)/(X1-X2)