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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 60% to a fraction
1-1-sqrroot of 2
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.)
The sum of the digits is a multiple of 9.

2. How to recognize a # as a multiple of 3
The sum of the digits is a multiple of 3
5/6
3/5
A= (1/2)b*h

3. Convert 20% to a fraction
1/5
A=pi*(r^2)
A= (1/2)b*h
P= 2L + 2w

4. Side lengths of a 30-60-90 right triangle
Sum= (Average of Consecutive #s) * (# of terms in set)
Sum of digits is a multiple of 3 and the last digit is even.
1-sqrroot of 3-2
SA= 2( Lw + Lh + w*h)

5. Find hypotenuse of a right triangle given 2 side lengths
2/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A=l*w
1-sqrroot of 3-2

6. Area of parallelogram
1/5
D=rt so r= d/t and t=d/r
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A=b*h

7. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
D=rt so r= d/t and t=d/r
X = Measure of interior angle/Circumference of circle 360
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

8. Volume of a rectangular box
The sum of the digits is a multiple of 9.
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=b*h
V=Lwh

9. Perimeter of a rectangle
P= 2L + 2w
1/8
The sum of the digits is a multiple of 9.
Sum of digits is a multiple of 3 and the last digit is even.

10. Surface area of a rectangular solid
X = Measure of interior angle/Area of Circle 360
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.)
SA= 2( Lw + Lh + w*h)

11. Surface area of a right circular cylinder
2(pi(r^2))+ 2pirh
1/5
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.

12. Convert 12.5% to a fraction
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.
1/8
Pi(r^2)h

13. How to recognize a multiple of 6
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.
V=Lwh
D=rt so r= d/t and t=d/r

14. Circumference of a Circle
C=2pir OR d*pi
1/8
Pi(r^2)h
A=pi*(r^2)

15. Find distance when given time and rate
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.)
Sum= (Average of Consecutive #s) * (# of terms in set)
2/5
D=rt so r= d/t and t=d/r

16. Convert 40% to a fraction
2/5
D=rt so r= d/t and t=d/r
Pi(r^2)h
Add them. i.e. (5^7) * (5^3) = 5^10

17. Slope given 2 points
A= (1/2)b*h
C=2pir OR d*pi
M= (Y1-Y2)/(X1-X2)
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.)

18. Area of a rectangle
3/5
A=b*h
A=l*w
4/5

19. Convert 80% to a fraction
The sum of the digits is a multiple of 3
4/5
A=b*h
V=Lwh

20. Area of a circle
Sum= (Average of Consecutive #s) * (# of terms in set)
V=Lwh
A=pi*(r^2)
M= (Y1-Y2)/(X1-X2)

21. Quadratic Formula
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
M= (Y1-Y2)/(X1-X2)

22. Volume of a sphere
P= 2L + 2w
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.)
V=(4/3)pi(r^3)

23. 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.)
5/6
V=Lwh
1-sqrroot of 3-2

24. Convert 83.33% to a fraction
1/3
A=l*w
1/6
5/6

25. How to recognize a # as 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.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The sum of the digits is a multiple of 9.
5/6

26. Surface area of a sphere
M= (Y1-Y2)/(X1-X2)
P= 2L + 2w
SA= 4pi(r^3)
A=pi*(r^2)

27. Area of a triangle
A=b*h
X = Measure of interior angle/Circumference of circle 360
A= (1/2)b*h
1/4

28. Convert 25% to a fraction
D=rt so r= d/t and t=d/r
1/4
1/3
2(pi(r^2))+ 2pirh

29. Arc length
Divide or multiply both sides by a NEGATIVE number
1-1-sqrroot of 2
X = Measure of interior angle/Circumference of circle 360
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

30. Convert 16.66% to a fraction
Subtract them. i.e (5^7)/(5^3)= 5^4
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/6
3/4

31. When solving an inequality - flip the sign when you....
M= (Y1-Y2)/(X1-X2)
Divide or multiply both sides by a NEGATIVE number
A=pi*(r^2)
Pi(r^2)h

32. Convert 33.33% to a fraction
1/3
2(pi(r^2))+ 2pirh
M= (Y1-Y2)/(X1-X2)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

33. How to recognize a # as a multiple of 4
SA= 4pi(r^3)
SA= 2( Lw + Lh + w*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.)
M= (Y1-Y2)/(X1-X2)

34. How to find the sum of consecutive #s
3/5
Sum= (Average of Consecutive #s) * (# of terms in set)
P= 2L + 2w
M= (Y1-Y2)/(X1-X2)

35. Perfect Squares 1-15
1-sqrroot of 3-2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/4
X = Measure of interior angle/Circumference of circle 360

36. 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)]
A=l*w
C=2pir OR d*pi
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

37. When multiplying exponential #s with the same base - you do this to the exponents...
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)b*h
V=Lwh
Add them. i.e. (5^7) * (5^3) = 5^10

38. Convert 75% to a fraction
4/5
3/4
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/3

39. 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)
1/5
1/6
D=rt so r= d/t and t=d/r

40. 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.)
1/8
A= (1/2)b*h
X = Measure of interior angle/Area of Circle 360

41. Side lengths of a 45-45-90 right triangle
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)
3/5
5/6
1-1-sqrroot of 2

42. Area of a trapezoid
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.
The sum of the digits is a multiple of 9.
1-1-sqrroot of 2

43. First 10 prime #s
Pi(r^2)h
1/4
2/5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

44. Convert 66.66% to a fraction
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)
2/3
1-1-sqrroot of 2
A= (1/2)b*h

45. Volume of a right circular cylinder
1/3
SA= 2( Lw + Lh + w*h)
Pi(r^2)h
4/5