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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. Convert 12.5% to a fraction
1-sqrroot of 3-2
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.)
P= 2L + 2w
1/8

2. Convert 83.33% to a fraction
2/5
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
5/6
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. First 10 prime #s
SA= 2( Lw + Lh + w*h)
Divide or multiply both sides by a NEGATIVE number
D=rt so r= d/t and t=d/r
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

4. When asked to find the distance between 2 points on a graph use this formula...
1/8
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)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
V=(4/3)pi(r^3)

5. Perimeter of a rectangle
V=(4/3)pi(r^3)
The sum of the digits is a multiple of 3
P= 2L + 2w
D=rt so r= d/t and t=d/r

6. Area of a rectangle
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.
SA= 2( Lw + Lh + w*h)
A=l*w

7. How to recognize a multiple of 6
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Pi(r^2)h
Sum of digits is a multiple of 3 and the last digit is even.
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

8. Convert 33.33% to a fraction
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
X = Measure of interior angle/Area of Circle 360
1/3
C=2pir OR d*pi

9. Find distance when given time and rate
D=rt so r= d/t and t=d/r
1-1-sqrroot of 2
A=b*h
2/5

10. Volume of a rectangular box
P= 2L + 2w
SA= 2( Lw + Lh + w*h)
4/5
V=Lwh

11. Area of a sector
1-1-sqrroot of 2
X = Measure of interior angle/Area of Circle 360
SA= 2( Lw + Lh + w*h)
A=b*h

12. Convert 40% to a fraction
2/5
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.)
The sum of the digits is a multiple of 9.
X = Measure of interior angle/Area of Circle 360

13. Volume of a right circular cylinder
Pi(r^2)h
X = Measure of interior angle/Circumference of circle 360
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.)

14. 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
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Subtract them. i.e (5^7)/(5^3)= 5^4

15. Convert 66.66% to a fraction
2(pi(r^2))+ 2pirh
M= (Y1-Y2)/(X1-X2)
1/4
2/3

16. How to find the sum of consecutive #s
A=b*h
Sum= (Average of Consecutive #s) * (# of terms in set)
1/8
A=l*w

17. Perfect Squares 1-15
SA= 2( Lw + Lh + w*h)
3/5
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

18. Slope given 2 points
1/8
M= (Y1-Y2)/(X1-X2)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1-sqrroot of 3-2

19. How to recognize a # as a multiple of 9
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
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.)
The sum of the digits is a multiple of 3

20. Surface area of a right circular cylinder
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.)
M= (Y1-Y2)/(X1-X2)
The sum of the digits is a multiple of 3

21. When multiplying exponential #s with the same base - you do this to the exponents...
SA= 2( Lw + Lh + w*h)
Add them. i.e. (5^7) * (5^3) = 5^10
2/5
1/5

22. Convert 20% to a fraction
X = Measure of interior angle/Area of Circle 360
A= (1/2)b*h
1/5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

23. Surface area of a rectangular solid
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/5
C=2pir OR d*pi
SA= 2( Lw + Lh + w*h)

24. Convert 25% to a fraction
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.)
1/4
4/5

25. Circumference of a Circle
P= 2L + 2w
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
C=2pir OR d*pi
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

26. Quadratic Formula
1-1-sqrroot of 2
V=(4/3)pi(r^3)
C=2pir OR d*pi
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

27. When solving an inequality - flip the sign when you....
Divide or multiply both sides by a NEGATIVE number
1/8
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.)
SA= 2( Lw + Lh + w*h)

28. Volume of a sphere
M= (Y1-Y2)/(X1-X2)
V=Lwh
V=(4/3)pi(r^3)
1-sqrroot of 3-2

29. Side lengths of a 45-45-90 right triangle
1-sqrroot of 3-2
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
V=(4/3)pi(r^3)
1-1-sqrroot of 2

30. Area of a circle
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=pi*(r^2)
1-sqrroot of 3-2
The sum of the digits is a multiple of 9.

31. How to recognize a # as a multiple of 3
P= 2L + 2w
1-sqrroot of 3-2
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
The sum of the digits is a multiple of 3

32. How to recognize if a # is a multiple of 12
Subtract them. i.e (5^7)/(5^3)= 5^4
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.)
Sum of digits is a multiple of 3 and the last digit is even.

33. 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)
2(pi(r^2))+ 2pirh
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

34. How to find the average of consecutive #s
Pi(r^2)h
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)
A= (1/2)b*h

35. Area of a triangle
X = Measure of interior angle/Circumference of circle 360
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
A= (1/2)b*h
1/6

36. Convert 60% to a fraction
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
M= (Y1-Y2)/(X1-X2)
3/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

37. Find hypotenuse of a right triangle given 2 side lengths
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Sum of digits is a multiple of 3 and the last digit is even.
2/3
A= (1/2)b*h

38. Side lengths of a 30-60-90 right triangle
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.)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1-sqrroot of 3-2
2(pi(r^2))+ 2pirh

39. Arc length
2/5
SA= 4pi(r^3)
The sum of the digits is a multiple of 9.
X = Measure of interior angle/Circumference of circle 360

40. Convert 16.66% 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.)
C=2pir OR d*pi
1/6
5/6

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

42. Convert 75% to a fraction
M= (Y1-Y2)/(X1-X2)
Sum of digits is a multiple of 3 and the last digit is even.
3/4
2(pi(r^2))+ 2pirh

43. Area of a trapezoid
2/3
1-1-sqrroot of 2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

44. Surface area of a sphere
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2(pi(r^2))+ 2pirh
Sum of digits is a multiple of 3 and the last digit is even.
SA= 4pi(r^3)

45. Convert 80% to a fraction
4/5
2/3
The sum of the digits is a multiple of 3
SA= 4pi(r^3)