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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
V=Lwh
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)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A=l*w

2. How to recognize if a # is a multiple of 12
4/5
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.)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sum= (Average of Consecutive #s) * (# of terms in set)

3. How to recognize a # as a multiple of 3
Add them. i.e. (5^7) * (5^3) = 5^10
The sum of the digits is a multiple of 3
1-1-sqrroot of 2
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

4. Surface area of a rectangular solid
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.)
1/5
SA= 2( Lw + Lh + w*h)

5. Circumference of a Circle
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Divide or multiply both sides by a NEGATIVE number
C=2pir OR d*pi
X = Measure of interior angle/Area of Circle 360

6. Convert 75% to a fraction
1/8
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.)
3/4
D=rt so r= d/t and t=d/r

7. How to recognize a # as a multiple of 9
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
The sum of the digits is a multiple of 3
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.)

8. Convert 33.33% to a fraction
C=2pir OR d*pi
1/3
The sum of the digits is a multiple of 3
Subtract them. i.e (5^7)/(5^3)= 5^4

9. Convert 40% to a fraction
D=rt so r= d/t and t=d/r
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
5/6
2/5

10. Convert 66.66% to a fraction
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2/3
A=pi*(r^2)
2/5

11. Area of parallelogram
X = Measure of interior angle/Area of Circle 360
4/5
A=b*h
1/3

12. Arc length
The sum of the digits is a multiple of 9.
1/4
X = Measure of interior angle/Circumference of circle 360
1/8

13. Area of a sector
1/5
X = Measure of interior angle/Area of Circle 360
The sum of the digits is a multiple of 9.
A=pi*(r^2)

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
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Add them. i.e. (5^7) * (5^3) = 5^10

15. Area of a triangle
1/4
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
A= (1/2)b*h
SA= 2( Lw + Lh + w*h)

16. Quadratic Formula
4/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
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 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

17. Convert 60% to a fraction
1-1-sqrroot of 2
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
2/5

18. Convert 83.33% to a fraction
1/8
5/6
3/4
X = Measure of interior angle/Area of Circle 360

19. Volume of a sphere
V=(4/3)pi(r^3)
1/3
SA= 2( Lw + Lh + w*h)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

20. How to find the sum of consecutive #s
Sum= (Average of Consecutive #s) * (# of terms in set)
Add them. i.e. (5^7) * (5^3) = 5^10
A=b*h
SA= 2( Lw + Lh + w*h)

21. How to recognize a # as a multiple of 4
1/4
1-sqrroot of 3-2
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.)

22. Convert 20% to a fraction
A=pi*(r^2)
V=(4/3)pi(r^3)
1/5
1-1-sqrroot of 2

23. How to recognize a multiple of 6
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2/5
Sum of digits is a multiple of 3 and the last digit is even.
X = Measure of interior angle/Area of Circle 360

24. Area of a circle
Subtract them. i.e (5^7)/(5^3)= 5^4
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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)

25. Find hypotenuse of a right triangle given 2 side lengths
1-sqrroot of 3-2
A= (1/2)b*h
2/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

26. Side lengths of a 30-60-90 right triangle
1-1-sqrroot of 2
3/4
The sum of the digits is a multiple of 9.
1-sqrroot of 3-2

27. Volume of a rectangular box
V=Lwh
3/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Add them. i.e. (5^7) * (5^3) = 5^10

28. Surface area of a right circular cylinder
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
2(pi(r^2))+ 2pirh
1/6

29. Volume of a right circular cylinder
4/5
X = Measure of interior angle/Area of Circle 360
2/5
Pi(r^2)h

30. Convert 12.5% to a fraction
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A= (1/2)b*h
Divide or multiply both sides by a NEGATIVE number
1/8

31. Convert 16.66% to a fraction
3/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
2/3
1/6

32. Slope given 2 points
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
3/5
D=rt so r= d/t and t=d/r
M= (Y1-Y2)/(X1-X2)

33. Perimeter of a rectangle
D=rt so r= d/t and t=d/r
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
1/4

34. 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
Divide or multiply both sides by a NEGATIVE number
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

35. Surface area of a sphere
4/5
SA= 4pi(r^3)
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-sqrroot of 3-2

36. Convert 25% to a fraction
1/4
P= 2L + 2w
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.)

37. Area of a trapezoid
1/3
M= (Y1-Y2)/(X1-X2)
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
A=pi*(r^2)

38. When solving an inequality - flip the sign when you....
3/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Divide or multiply both sides by a NEGATIVE number
1/6

39. Find distance when given time and rate
X = Measure of interior angle/Area of Circle 360
D=rt so r= d/t and t=d/r
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.)
V=(4/3)pi(r^3)

40. First 10 prime #s
1/4
X = Measure of interior angle/Circumference of circle 360
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A=pi*(r^2)

41. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
D=rt so r= d/t and t=d/r
V=Lwh
1/5

42. Convert 80% to a fraction
SA= 2( Lw + Lh + w*h)
4/5
The sum of the digits is a multiple of 3
Sum= (Average of Consecutive #s) * (# of terms in set)

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

44. When multiplying exponential #s with the same base - you do this to the exponents...
Sum of digits is a multiple of 3 and the last digit is even.
Add them. i.e. (5^7) * (5^3) = 5^10
V=(4/3)pi(r^3)
Pi(r^2)h

45. 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)
Pi(r^2)h
1-1-sqrroot of 2
V=Lwh