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GRE Math: Quantitative Formulas

Subjects : gre, math

Instructions:

Answer 45 questions in 15 minutes.
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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
1/8
SA= 4pi(r^3)
Add them. i.e. (5^7) * (5^3) = 5^10
Divide or multiply both sides by a NEGATIVE number

2. How to find the average of consecutive #s
Subtract them. i.e (5^7)/(5^3)= 5^4
A= (1/2)b*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)
V=Lwh

3. When asked to find the distance between 2 points on a graph use this formula...
1-1-sqrroot of 2
1/5
3/4
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

4. How to find the sum of consecutive #s
C=2pir OR d*pi
Sum= (Average of Consecutive #s) * (# of terms in set)
2/5
The sum of the digits is a multiple of 3

5. When dividing exponential #s with the same base - you do this to the exponents...
2/3
Sum of digits is a multiple of 3 and the last digit is even.
1-sqrroot of 3-2
Subtract them. i.e (5^7)/(5^3)= 5^4

6. Area of a rectangle
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)
4/5
X = Measure of interior angle/Circumference of circle 360

7. Convert 40% to a fraction
2/5
Sum of digits is a multiple of 3 and the last digit is even.
1/4
5/6

8. Convert 25% to a fraction
SA= 2( Lw + Lh + w*h)
1-1-sqrroot of 2
1/4
3/5

9. Surface area of a rectangular solid
5/6
SA= 2( Lw + Lh + w*h)
A=pi*(r^2)
The sum of the digits is a multiple of 3

10. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
1/4
Pi(r^2)h
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.)

11. Convert 75% to a fraction
Sum of digits is a multiple of 3 and the last digit is even.
M= (Y1-Y2)/(X1-X2)
3/4
X = Measure of interior angle/Area of Circle 360

12. Convert 33.33% 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.)
1/3
1/6
X = Measure of interior angle/Circumference of circle 360

13. Find distance when given time and rate
D=rt so r= d/t and t=d/r
X = Measure of interior angle/Area of Circle 360
A=l*w
1-1-sqrroot of 2

14. Area of a circle
V=(4/3)pi(r^3)
X = Measure of interior angle/Area of Circle 360
A=pi*(r^2)
1/6

15. Convert 83.33% to a fraction
5/6
Sum= (Average of Consecutive #s) * (# of terms in set)
1-1-sqrroot of 2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

16. Quadratic Formula
1/3
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1-sqrroot of 3-2
Subtract them. i.e (5^7)/(5^3)= 5^4

17. Area of a sector
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 = Measure of interior angle/Area of Circle 360
V=Lwh
SA= 4pi(r^3)

18. Arc length
Subtract them. i.e (5^7)/(5^3)= 5^4
C=2pir OR d*pi
X = Measure of interior angle/Circumference of circle 360
P= 2L + 2w

19. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
1/8
X = Measure of interior angle/Area of Circle 360
SA= 4pi(r^3)

20. Circumference of a Circle
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
C=2pir OR d*pi
2(pi(r^2))+ 2pirh

21. Convert 66.66% to a fraction
2/3
Add them. i.e. (5^7) * (5^3) = 5^10
Pi(r^2)h
1/4

22. Perimeter of a rectangle
D=rt so r= d/t and t=d/r
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)
C=2pir OR d*pi

23. Find hypotenuse of a right triangle given 2 side lengths
4/5
D=rt so r= d/t and t=d/r
Pi(r^2)h
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

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

25. Volume of a right circular cylinder
A=b*h
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
X = Measure of interior angle/Area of Circle 360
Pi(r^2)h

26. Side lengths of a 45-45-90 right triangle
C=2pir OR d*pi
1-1-sqrroot of 2
3/5
SA= 2( Lw + Lh + w*h)

27. Area of parallelogram
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2/5
A=b*h
V=Lwh

28. 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
Divide or multiply both sides by a NEGATIVE number

29. Surface area of a right circular cylinder
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
2(pi(r^2))+ 2pirh
1-1-sqrroot of 2
V=Lwh

30. First 10 prime #s
A=l*w
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X = Measure of interior angle/Area of Circle 360
2/3

31. Side lengths of a 30-60-90 right triangle
The sum of the digits is a multiple of 9.
1-sqrroot of 3-2
5/6
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

32. Surface area of a sphere
A=b*h
A=l*w
SA= 4pi(r^3)
A= (1/2)b*h

33. Convert 60% to a fraction
1/3
Sum= (Average of Consecutive #s) * (# of terms in set)
The sum of the digits is a multiple of 3
3/5

34. How to recognize a # as a multiple of 3
Subtract them. i.e (5^7)/(5^3)= 5^4
The sum of the digits is a multiple of 3
D=rt so r= d/t and t=d/r
1/4

35. Convert 20% to a fraction
V=Lwh
1/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sum of digits is a multiple of 3 and the last digit is even.

36. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Add them. i.e. (5^7) * (5^3) = 5^10
1/5
Sum= (Average of Consecutive #s) * (# of terms in set)

37. How to recognize if a # is a multiple of 12
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.)
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)
V=Lwh

38. How to recognize a multiple of 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.)
Sum of digits is a multiple of 3 and the last digit is even.
X = Measure of interior angle/Circumference of circle 360
2(pi(r^2))+ 2pirh

39. Convert 80% to a fraction
1/6
4/5
The sum of the digits is a multiple of 3
Sum= (Average of Consecutive #s) * (# of terms in set)

40. When solving an inequality - flip the sign when you....
Divide or multiply both sides by a NEGATIVE number
A=l*w
A=pi*(r^2)
1/6

41. Area of a triangle
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
3/4
A= (1/2)b*h
C=2pir OR d*pi

42. How to recognize a # as a multiple of 4
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.)
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
2/5

43. Slope given 2 points
1/4
M= (Y1-Y2)/(X1-X2)
1-sqrroot of 3-2
The sum of the digits is a multiple of 3

44. Volume of a rectangular box
A=l*w
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. Convert 16.66% to a fraction
A=l*w
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
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.)

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