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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. Find hypotenuse of a right triangle given 2 side lengths
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/3
1-sqrroot of 3-2
The sum of the digits is a multiple of 3

2. Side lengths of a 45-45-90 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.)
1-1-sqrroot of 2
Pi(r^2)h
3/5

3. Convert 80% to a fraction
4/5
3/5
5/6
X = Measure of interior angle/Circumference of circle 360

4. Convert 40% to a fraction
2/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
X = Measure of interior angle/Area of Circle 360
C=2pir OR d*pi

5. Area of a rectangle
SA= 2( Lw + Lh + w*h)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A=l*w
Divide or multiply both sides by a NEGATIVE number

6. Convert 16.66% to a fraction
V=Lwh
1/6
1/8
Pi(r^2)h

7. Convert 83.33% to a fraction
5/6
1/4
3/5
The sum of the digits is a multiple of 9.

8. Convert 75% to a fraction
SA= 2( Lw + Lh + w*h)
3/5
3/4
V=Lwh

9. Convert 66.66% to a fraction
2/3
V=Lwh
3/4
1-1-sqrroot of 2

10. Surface area of a sphere
SA= 4pi(r^3)
A=l*w
C=2pir OR d*pi
V=(4/3)pi(r^3)

11. How to find the sum of consecutive #s
X = Measure of interior angle/Area of Circle 360
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
Sum= (Average of Consecutive #s) * (# of terms in set)

12. Volume of a right circular cylinder
Divide or multiply both sides by a NEGATIVE number
Pi(r^2)h
1-1-sqrroot of 2
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

13. 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.)
1-1-sqrroot of 2
A=pi*(r^2)
2(pi(r^2))+ 2pirh

14. Convert 20% to a fraction
2/3
SA= 2( Lw + Lh + w*h)
1/5
1/8

15. Arc length
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X = Measure of interior angle/Circumference of circle 360
1-1-sqrroot of 2

16. How to recognize a # as a multiple of 4
Sum of digits is a multiple of 3 and the last digit is even.
C=2pir OR d*pi
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.)

17. Find distance when given time and rate
SA= 2( Lw + Lh + w*h)
1/3
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
D=rt so r= d/t and t=d/r

18. When multiplying exponential #s with the same base - you do this to the exponents...
2/5
3/5
1/8
Add them. i.e. (5^7) * (5^3) = 5^10

19. How to recognize a # as a multiple of 3
1-sqrroot of 3-2
5/6
The sum of the digits is a multiple of 3
1/6

20. Volume of a sphere
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Divide or multiply both sides by a NEGATIVE number
V=(4/3)pi(r^3)
The sum of the digits is a multiple of 9.

21. Perimeter of a rectangle
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.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
X = Measure of interior angle/Circumference of circle 360

22. Convert 12.5% to a fraction
1/8
1-sqrroot of 3-2
A=pi*(r^2)
A= (1/2)b*h

23. Area of a circle
P= 2L + 2w
A=l*w
A=pi*(r^2)
The sum of the digits is a multiple of 9.

24. How to find the average of consecutive #s
P= 2L + 2w
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)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
M= (Y1-Y2)/(X1-X2)

25. When solving an inequality - flip the sign when you....
3/4
C=2pir OR d*pi
Divide or multiply both sides by a NEGATIVE number
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

26. Convert 33.33% to a fraction
1/5
1/3
1/4
X = Measure of interior angle/Circumference of circle 360

27. When asked to find the distance between 2 points on a graph use this formula...
M= (Y1-Y2)/(X1-X2)
Pi(r^2)h
Subtract them. i.e (5^7)/(5^3)= 5^4
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

28. Area of a trapezoid
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
C=2pir OR d*pi
V=(4/3)pi(r^3)

29. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
4/5
V=Lwh
Add them. i.e. (5^7) * (5^3) = 5^10

30. Side lengths of a 30-60-90 right triangle
Divide or multiply both sides by a NEGATIVE number
1-sqrroot of 3-2
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.)

31. Area of a triangle
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.)
Pi(r^2)h
A= (1/2)b*h
1-1-sqrroot of 2

32. Quadratic Formula
X = Measure of interior angle/Area of Circle 360
2/3
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/3

33. Perfect Squares 1-15
A=l*w
5/6
The sum of the digits is a multiple of 3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

34. First 10 prime #s
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/8
X = Measure of interior angle/Circumference of circle 360
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

35. Area of a sector
2(pi(r^2))+ 2pirh
A= (1/2)b*h
1-sqrroot of 3-2
X = Measure of interior angle/Area of Circle 360

36. Circumference of a Circle
The sum of the digits is a multiple of 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.
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
C=2pir OR d*pi

37. 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 9.
1/8
C=2pir OR d*pi

38. How to recognize if a # is a multiple of 12
3/5
1/5
A=l*w
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.)

39. Convert 25% to a fraction
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
5/6
1/4
A=pi*(r^2)

40. Slope given 2 points
2/5
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)
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
M= (Y1-Y2)/(X1-X2)

41. Convert 60% to a fraction
Sum of digits is a multiple of 3 and the last digit is even.
1-1-sqrroot of 2
A= (1/2)b*h
3/5

42. Surface area of a rectangular solid
V=(4/3)pi(r^3)
1-sqrroot of 3-2
3/5
SA= 2( Lw + Lh + w*h)

43. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
1/3
Pi(r^2)h
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)

44. Volume of a rectangular box
1/4
V=Lwh
2/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

45. Area of parallelogram
2/5
A=b*h
X = Measure of interior angle/Area of Circle 360
V=(4/3)pi(r^3)