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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 parallelogram
SA= 2( Lw + Lh + w*h)
C=2pir OR d*pi
4/5
A=b*h

2. Volume of a right circular cylinder
1/3
Pi(r^2)h
4/5
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

3. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
D=rt so r= d/t and t=d/r
M= (Y1-Y2)/(X1-X2)
A= (1/2)b*h

4. How to recognize if a # is a multiple of 12
2/5
SA= 2( Lw + Lh + w*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.)
1-sqrroot of 3-2

5. Area of a circle
A=l*w
A=pi*(r^2)
2(pi(r^2))+ 2pirh
C=2pir OR d*pi

6. Surface area of a rectangular solid
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
SA= 2( Lw + Lh + w*h)
C=2pir OR d*pi

7. Convert 16.66% to a fraction
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.)
3/5
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.)

8. When solving an inequality - flip the sign when you....
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)
A= (1/2)b*h
V=Lwh
Divide or multiply both sides by a NEGATIVE number

9. How to recognize a # as a multiple of 3
A=l*w
V=(4/3)pi(r^3)
4/5
The sum of the digits is a multiple of 3

10. Convert 12.5% to a fraction
1/8
A=pi*(r^2)
P= 2L + 2w
SA= 2( Lw + Lh + w*h)

11. How to recognize a multiple of 6
Divide or multiply both sides by a NEGATIVE number
X = Measure of interior angle/Area of Circle 360
5/6
Sum of digits is a multiple of 3 and the last digit is even.

12. Quadratic Formula
C=2pir OR d*pi
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
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.)

13. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
5/6
3/4
A=l*w

14. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
A=pi*(r^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)
A=l*w

15. Convert 83.33% to a fraction
C=2pir OR d*pi
X = Measure of interior angle/Circumference of circle 360
5/6
2/5

16. Convert 75% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/6
3/4
1/4

17. Side lengths of a 30-60-90 right triangle
1-sqrroot of 3-2
1/3
C=2pir OR d*pi
The sum of the digits is a multiple of 3

18. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Pi(r^2)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.)
1/3

19. Surface area of a right circular cylinder
3/4
Subtract them. i.e (5^7)/(5^3)= 5^4
1-sqrroot of 3-2
2(pi(r^2))+ 2pirh

20. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
2(pi(r^2))+ 2pirh
1/6
A=b*h

21. Convert 80% to a fraction
4/5
Sum= (Average of Consecutive #s) * (# of terms in set)
1/5
1-1-sqrroot of 2

22. Convert 66.66% to a fraction
3/4
Sum of digits is a multiple of 3 and the last digit is even.
2/3
X = Measure of interior angle/Area of Circle 360

23. Arc length
Sum= (Average of Consecutive #s) * (# of terms in set)
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 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
X = Measure of interior angle/Circumference of circle 360

24. Find hypotenuse of a right triangle given 2 side lengths
1-1-sqrroot of 2
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A= (1/2)b*h
D=rt so r= d/t and t=d/r

25. Find distance when given time and rate
D=rt so r= d/t and t=d/r
1/6
3/5
Subtract them. i.e (5^7)/(5^3)= 5^4

26. Area of a rectangle
2(pi(r^2))+ 2pirh
Subtract them. i.e (5^7)/(5^3)= 5^4
A=l*w
1/4

27. Volume of a sphere
V=(4/3)pi(r^3)
V=Lwh
C=2pir OR d*pi
Subtract them. i.e (5^7)/(5^3)= 5^4

28. Convert 20% to a fraction
1/5
Add them. i.e. (5^7) * (5^3) = 5^10
SA= 2( Lw + Lh + w*h)
V=(4/3)pi(r^3)

29. How to find the average of consecutive #s
1/3
1/5
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)
P= 2L + 2w

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
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/5
X = Measure of interior angle/Area of Circle 360

31. 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 sum of the digits is a multiple of 3
2/5
4/5

32. Area of a sector
V=(4/3)pi(r^3)
Pi(r^2)h
2/5
X = Measure of interior angle/Area of Circle 360

33. Perimeter of a rectangle
P= 2L + 2w
A=l*w
SA= 2( Lw + Lh + w*h)
A= (1/2)b*h

34. How to find the sum of consecutive #s
P= 2L + 2w
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
Sum= (Average of Consecutive #s) * (# of terms in set)
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.)

35. Convert 25% to a fraction
Subtract them. i.e (5^7)/(5^3)= 5^4
1/4
Sum= (Average of Consecutive #s) * (# of terms in set)
SA= 2( Lw + Lh + w*h)

36. Convert 33.33% to a fraction
1-sqrroot of 3-2
1/3
A=pi*(r^2)
1/8

37. 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.)
3/5
1/6
2/3

38. Convert 60% to a fraction
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
3/5
1/3
2(pi(r^2))+ 2pirh

39. First 10 prime #s
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
X = Measure of interior angle/Area of Circle 360
2(pi(r^2))+ 2pirh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

40. Convert 40% to a fraction
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
V=(4/3)pi(r^3)
X = Measure of interior angle/Circumference of circle 360
2/5

41. Surface area of a sphere
SA= 4pi(r^3)
2/5
V=Lwh
The sum of the digits is a multiple of 9.

42. 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.)
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 3
V=Lwh

43. Area of a trapezoid
1/3
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
1-1-sqrroot of 2
X = Measure of interior angle/Circumference of circle 360

44. Circumference of a Circle
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
C=2pir OR d*pi
M= (Y1-Y2)/(X1-X2)
A=l*w

45. Area of a triangle
A=b*h
A= (1/2)b*h
The sum of the digits is a multiple of 9.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225