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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. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
X = Measure of interior angle/Area of Circle 360
P= 2L + 2w
The sum of the digits is a multiple of 9.

2. Convert 33.33% to a fraction
1/3
P= 2L + 2w
5/6
Divide or multiply both sides by a NEGATIVE number

3. Volume of a right circular cylinder
1/4
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
M= (Y1-Y2)/(X1-X2)
Pi(r^2)h

4. Volume of a rectangular box
V=Lwh
A=l*w
1/4
5/6

5. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/8
The sum of the digits is a multiple of 9.

6. When asked to find the distance between 2 points on a graph use this formula...
The sum of the digits is a multiple of 3
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^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)
1-sqrroot of 3-2

7. How to recognize a # as a multiple of 4
Add them. i.e. (5^7) * (5^3) = 5^10
SA= 4pi(r^3)
2/3
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.)

8. Slope given 2 points
A=pi*(r^2)
The sum of the digits is a multiple of 3
M= (Y1-Y2)/(X1-X2)
1-1-sqrroot of 2

9. Convert 66.66% to a fraction
C=2pir OR d*pi
4/5
2/3
1-1-sqrroot of 2

10. How to find the sum of consecutive #s
Add them. i.e. (5^7) * (5^3) = 5^10
2(pi(r^2))+ 2pirh
The sum of the digits is a multiple of 3
Sum= (Average of Consecutive #s) * (# of terms in set)

11. Find distance when given time and rate
1/8
X = Measure of interior angle/Circumference of circle 360
M= (Y1-Y2)/(X1-X2)
D=rt so r= d/t and t=d/r

12. Quadratic Formula
Sum= (Average of Consecutive #s) * (# of terms in set)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
D=rt so r= d/t and t=d/r
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

13. Perimeter of a rectangle
1/5
P= 2L + 2w
X = Measure of interior angle/Area of Circle 360
1/3

14. Convert 12.5% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
4/5
A=pi*(r^2)
1/8

15. Convert 60% to a fraction
V=(4/3)pi(r^3)
A= (1/2)b*h
M= (Y1-Y2)/(X1-X2)
3/5

16. Convert 80% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
4/5
M= (Y1-Y2)/(X1-X2)
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.)

17. Convert 16.66% to a fraction
SA= 2( Lw + Lh + w*h)
1/6
1/5
Add them. i.e. (5^7) * (5^3) = 5^10

18. How to recognize a # as a multiple of 3
5/6
Sum= (Average of Consecutive #s) * (# of terms in set)
1/8
The sum of the digits is a multiple of 3

19. When multiplying exponential #s with the same base - you do this to the exponents...
1/3
Add them. i.e. (5^7) * (5^3) = 5^10
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A=pi*(r^2)

20. Surface area of a rectangular solid
The sum of the digits is a multiple of 9.
SA= 2( Lw + Lh + w*h)
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)

21. Convert 83.33% to a fraction
5/6
Pi(r^2)h
Sum of digits is a multiple of 3 and the last digit is even.
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

22. Surface area of a sphere
SA= 4pi(r^3)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/4
A=l*w

23. Convert 40% to a fraction
2/5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Pi(r^2)h
V=(4/3)pi(r^3)

24. Area of a triangle
Divide or multiply both sides by a NEGATIVE number
V=(4/3)pi(r^3)
A= (1/2)b*h
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

25. Area of a circle
Add them. i.e. (5^7) * (5^3) = 5^10
A=l*w
Divide or multiply both sides by a NEGATIVE number
A=pi*(r^2)

26. Side lengths of a 30-60-90 right triangle
Pi(r^2)h
A=b*h
1-sqrroot of 3-2
2/3

27. Convert 25% to a fraction
1/8
SA= 2( Lw + Lh + w*h)
Divide or multiply both sides by a NEGATIVE number
1/4

28. Find hypotenuse of a right triangle given 2 side lengths
3/4
The sum of the digits is a multiple of 3
A=l*w
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

29. 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)
Subtract them. i.e (5^7)/(5^3)= 5^4
3/4
A=pi*(r^2)

30. How to recognize a multiple of 6
1/5
4/5
C=2pir OR d*pi
Sum of digits is a multiple of 3 and the last digit is even.

31. First 10 prime #s
C=2pir OR d*pi
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A=pi*(r^2)
1/4

32. Area of parallelogram
The sum of the digits is a multiple of 9.
A=b*h
1-sqrroot of 3-2
Pi(r^2)h

33. When dividing exponential #s with the same base - you do this to the exponents...
X = Measure of interior angle/Area of Circle 360
Sum= (Average of Consecutive #s) * (# of terms in set)
Subtract them. i.e (5^7)/(5^3)= 5^4
D=rt so r= d/t and t=d/r

34. Convert 75% to a fraction
2/5
SA= 4pi(r^3)
3/4
A=l*w

35. Area of a trapezoid
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.
1/6
M= (Y1-Y2)/(X1-X2)

36. How to recognize if a # is a multiple of 12
D=rt so r= d/t and t=d/r
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^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.)
1/5

37. Volume of a sphere
Sum of digits is a multiple of 3 and the last digit is even.
V=(4/3)pi(r^3)
1/3
2/3

38. Circumference of a Circle
V=Lwh
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/5
C=2pir OR d*pi

39. Area of a rectangle
1-sqrroot of 3-2
A=l*w
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^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.

40. Surface area of a right circular cylinder
2(pi(r^2))+ 2pirh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A=b*h
1-1-sqrroot of 2

41. When solving an inequality - flip the sign when you....
2/5
Divide or multiply both sides by a NEGATIVE number
X = Measure of interior angle/Area of Circle 360
1/6

42. Convert 20% to a fraction
1/5
SA= 4pi(r^3)
M= (Y1-Y2)/(X1-X2)
4/5

43. Arc length
Divide or multiply both sides by a NEGATIVE number
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
X = Measure of interior angle/Circumference of circle 360
SA= 4pi(r^3)

44. How to recognize a # as a multiple of 9
3/4
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.)
The sum of the digits is a multiple of 9.
Pi(r^2)h

45. Area of a sector
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/Area of Circle 360
1-1-sqrroot of 2
2(pi(r^2))+ 2pirh