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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. Surface area of a right circular cylinder
Pi(r^2)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.)
A=b*h
2(pi(r^2))+ 2pirh

2. Area of a circle
M= (Y1-Y2)/(X1-X2)
3/4
A=b*h
A=pi*(r^2)

3. How to recognize if a # is a multiple of 12
5/6
V=(4/3)pi(r^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.)
Pi(r^2)h

4. Quadratic Formula
1-sqrroot of 3-2
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
A=b*h
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

5. Convert 80% to a fraction
4/5
A= (1/2)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.)
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

6. Convert 75% to a fraction
1/3
A=b*h
3/4
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

7. Convert 60% to a fraction
X = Measure of interior angle/Circumference of circle 360
3/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

8. Perimeter of a rectangle
P= 2L + 2w
2(pi(r^2))+ 2pirh
5/6
The sum of the digits is a multiple of 3

9. When solving an inequality - flip the sign when you....
1/5
Divide or multiply both sides by a NEGATIVE number
SA= 4pi(r^3)
C=2pir OR d*pi

10. How to find the sum of consecutive #s
Sum= (Average of Consecutive #s) * (# of terms in set)
X = Measure of interior angle/Area of Circle 360
The sum of the digits is a multiple of 9.
1/4

11. Area of a rectangle
A=l*w
V=(4/3)pi(r^3)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
SA= 4pi(r^3)

12. Circumference of a Circle
A= (1/2)b*h
X = Measure of interior angle/Area of Circle 360
C=2pir OR d*pi
V=Lwh

13. Convert 83.33% to a fraction
5/6
V=Lwh
C=2pir OR d*pi
2/5

14. How to find the average of consecutive #s
2/3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
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)
2/5

15. When multiplying exponential #s with the same base - you do this to the exponents...
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.)
Sum= (Average of Consecutive #s) * (# of terms in set)
Add them. i.e. (5^7) * (5^3) = 5^10
V=Lwh

16. Surface area of a rectangular solid
Pi(r^2)h
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
SA= 2( Lw + Lh + w*h)
A=l*w

17. Area of a sector
P= 2L + 2w
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 = Measure of interior angle/Area of Circle 360

18. First 10 prime #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)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A=pi*(r^2)
A= (1/2)b*h

19. When dividing exponential #s with the same base - you do this to the exponents...
The sum of the digits is a multiple of 3
Subtract them. i.e (5^7)/(5^3)= 5^4
4/5
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. Arc length
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 = Measure of interior angle/Circumference of circle 360
1-sqrroot of 3-2
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

21. Volume of a rectangular box
SA= 4pi(r^3)
SA= 2( Lw + Lh + w*h)
M= (Y1-Y2)/(X1-X2)
V=Lwh

22. How to recognize a multiple of 6
Add them. i.e. (5^7) * (5^3) = 5^10
X = Measure of interior angle/Circumference of circle 360
3/5
Sum of digits is a multiple of 3 and the last digit is even.

23. Slope given 2 points
2(pi(r^2))+ 2pirh
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
M= (Y1-Y2)/(X1-X2)
X = Measure of interior angle/Area of Circle 360

24. Convert 16.66% to a fraction
Pi(r^2)h
1/6
D=rt so r= d/t and t=d/r
3/5

25. Convert 66.66% to a fraction
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
X = Measure of interior angle/Circumference of circle 360
1/8
2/3

26. Convert 33.33% to a fraction
D=rt so r= d/t and t=d/r
1/3
X = Measure of interior angle/Circumference of circle 360
SA= 4pi(r^3)

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

28. Convert 20% to a fraction
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/5
1-sqrroot of 3-2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

29. How to recognize a # as a multiple of 9
X = Measure of interior angle/Area of Circle 360
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3/5
The sum of the digits is a multiple of 9.

30. Convert 25% to a fraction
1/4
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)
1/6
A=l*w

31. Find hypotenuse of a right triangle given 2 side lengths
The sum of the digits is a multiple of 9.
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 of digits is a multiple of 3 and the last digit is even.
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

32. Area of a trapezoid
A=l*w
Sum= (Average of Consecutive #s) * (# of terms in set)
3/4
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

33. Area of parallelogram
A=b*h
X = Measure of interior angle/Area of Circle 360
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Sum of digits is a multiple of 3 and the last digit is even.

34. How to recognize a # as a multiple of 3
Pi(r^2)h
4/5
V=Lwh
The sum of the digits is a multiple of 3

35. How to recognize a # as a multiple of 4
V=Lwh
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=b*h
1/8

36. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A= (1/2)b*h
D=rt so r= d/t and t=d/r
1/8

37. Convert 40% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/6
2/5
1-sqrroot of 3-2

38. Surface area of a sphere
SA= 2( Lw + Lh + w*h)
SA= 4pi(r^3)
P= 2L + 2w
A=l*w

39. Volume of a right circular cylinder
C=2pir OR d*pi
Sum= (Average of Consecutive #s) * (# of terms in set)
Pi(r^2)h
X = Measure of interior angle/Circumference of circle 360

40. 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)]
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)b*h
C=2pir OR d*pi

41. Side lengths of a 30-60-90 right triangle
Divide or multiply both sides by a NEGATIVE number
The sum of the digits is a multiple of 3
1-sqrroot of 3-2
3/5

42. Find distance when given time and rate
Divide or multiply both sides by a NEGATIVE number
SA= 4pi(r^3)
Subtract them. i.e (5^7)/(5^3)= 5^4
D=rt so r= d/t and t=d/r

43. Convert 12.5% to a fraction
1/8
V=(4/3)pi(r^3)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
SA= 4pi(r^3)

44. Volume of a sphere
X = Measure of interior angle/Area of Circle 360
V=(4/3)pi(r^3)
D=rt so r= d/t and t=d/r
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

45. Side lengths of a 45-45-90 right triangle
Pi(r^2)h
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1-1-sqrroot of 2
The sum of the digits is a multiple of 9.