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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
A=pi*(r^2)
3/5
A= (1/2)b*h
1/8

2. First 10 prime #s
V=Lwh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
M= (Y1-Y2)/(X1-X2)
1-1-sqrroot of 2

3. Surface area of a right circular cylinder
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= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
P= 2L + 2w
2(pi(r^2))+ 2pirh

4. How to recognize a # as a multiple of 4
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.)
3/4
The sum of the digits is a multiple of 9.

5. Convert 80% to a fraction
3/4
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Subtract them. i.e (5^7)/(5^3)= 5^4
4/5

6. Surface area of a sphere
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
SA= 4pi(r^3)
2/5
The sum of the digits is a multiple of 9.

7. Convert 83.33% to a fraction
A=pi*(r^2)
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.)
5/6

8. Perfect Squares 1-15
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
D=rt so r= d/t and t=d/r
Sum= (Average of Consecutive #s) * (# of terms in set)

9. Convert 75% to a fraction
Pi(r^2)h
Sum= (Average of Consecutive #s) * (# of terms in set)
V=Lwh
3/4

10. Convert 20% to a fraction
1/5
Sum= (Average of Consecutive #s) * (# of terms in set)
2/5
1/3

11. How to find the sum of consecutive #s
SA= 4pi(r^3)
1/6
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Sum= (Average of Consecutive #s) * (# of terms in set)

12. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
The sum of the digits is a multiple of 3
A=pi*(r^2)
D=rt so r= d/t and t=d/r

13. Arc length
The sum of the digits is a multiple of 3
X = Measure of interior angle/Circumference of circle 360
A=l*w
A=b*h

14. 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.
V=Lwh
X = Measure of interior angle/Circumference of circle 360
2(pi(r^2))+ 2pirh

15. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
V=Lwh
X = Measure of interior angle/Area of Circle 360
2(pi(r^2))+ 2pirh

16. Perimeter of a rectangle
2(pi(r^2))+ 2pirh
A= (1/2)b*h
P= 2L + 2w
2/3

17. Find distance when given time and rate
D=rt so r= d/t and t=d/r
3/4
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 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

18. Convert 25% to a fraction
1/4
SA= 4pi(r^3)
X = Measure of interior angle/Area of Circle 360
5/6

19. Area of a circle
5/6
A=pi*(r^2)
1-sqrroot of 3-2
Pi(r^2)h

20. Area of a rectangle
3/5
A=l*w
1/3
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.)

21. Side lengths of a 45-45-90 right triangle
M= (Y1-Y2)/(X1-X2)
P= 2L + 2w
Pi(r^2)h
1-1-sqrroot of 2

22. Convert 66.66% to a fraction
1/5
2/3
A=l*w
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

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

24. Find hypotenuse of a right triangle given 2 side lengths
C=2pir OR d*pi
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/5
4/5

25. When solving an inequality - flip the sign when you....
Divide or multiply both sides by a NEGATIVE number
1-1-sqrroot of 2
5/6
3/5

26. Convert 33.33% to a fraction
1/3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
5/6
A= (1/2)b*h

27. Quadratic Formula
D=rt so r= d/t and t=d/r
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
The sum of the digits is a multiple of 3
Subtract them. i.e (5^7)/(5^3)= 5^4

28. How to recognize a multiple of 6
V=Lwh
2/3
Sum of digits is a multiple of 3 and the last digit is even.
SA= 4pi(r^3)

29. Area of parallelogram
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)
1-1-sqrroot of 2
A=b*h
1/5

30. Circumference 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)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
C=2pir OR d*pi
3/5

31. Volume of a right circular cylinder
D=rt so r= d/t and t=d/r
X = Measure of interior angle/Area of Circle 360
Pi(r^2)h
A=b*h

32. Volume of a sphere
V=(4/3)pi(r^3)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
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)

33. Side lengths of a 30-60-90 right triangle
C=2pir OR d*pi
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 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

34. When multiplying exponential #s with the same base - you do this to the exponents...
Sum= (Average of Consecutive #s) * (# of terms in set)
Add them. i.e. (5^7) * (5^3) = 5^10
1/3
The sum of the digits is a multiple of 3

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

36. Convert 16.66% to a fraction
Add them. i.e. (5^7) * (5^3) = 5^10
Subtract them. i.e (5^7)/(5^3)= 5^4
V=(4/3)pi(r^3)
1/6

37. Area of a triangle
V=Lwh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A= (1/2)b*h
2/5

38. How to recognize a # as a multiple of 3
V=Lwh
X = Measure of interior angle/Area of Circle 360
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
The sum of the digits is a multiple of 3

39. Area of a sector
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 = Measure of interior angle/Area of Circle 360
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
3/4

40. Surface area of a rectangular solid
V=(4/3)pi(r^3)
P= 2L + 2w
SA= 4pi(r^3)
SA= 2( Lw + Lh + w*h)

41. Convert 60% to a fraction
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-sqrroot of 3-2
1-1-sqrroot of 2
3/5

42. Slope given 2 points
C=2pir OR d*pi
M= (Y1-Y2)/(X1-X2)
A= (1/2)b*h
Subtract them. i.e (5^7)/(5^3)= 5^4

43. How to recognize if a # is a multiple of 12
Divide or multiply both sides by a NEGATIVE number
SA= 4pi(r^3)
Add them. i.e. (5^7) * (5^3) = 5^10
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.)

44. How to find the average of consecutive #s
Sum of digits is a multiple of 3 and the last digit is even.
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)
1/8
Pi(r^2)h

45. Convert 40% to a fraction
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
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.)