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

2. Arc length
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Pi(r^2)h
X = Measure of interior angle/Circumference of circle 360
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

3. How to recognize if a # is a multiple of 12
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.)
Subtract them. i.e (5^7)/(5^3)= 5^4
X = Measure of interior angle/Circumference of circle 360

4. Convert 66.66% to a fraction
P= 2L + 2w
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.)
2/3
A= (1/2)b*h

5. Convert 25% to a fraction
2/3
1/4
2(pi(r^2))+ 2pirh
1/3

6. Volume of a rectangular box
A=pi*(r^2)
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=Lwh
3/5

7. Circumference of a Circle
1/6
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
C=2pir OR d*pi
2/3

8. Area of a triangle
1/4
M= (Y1-Y2)/(X1-X2)
A= (1/2)b*h
C=2pir OR d*pi

9. Quadratic Formula
4/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
P= 2L + 2w
2/3

10. When dividing exponential #s with the same base - you do this to the exponents...
A=b*h
M= (Y1-Y2)/(X1-X2)
1/3
Subtract them. i.e (5^7)/(5^3)= 5^4

11. When solving an inequality - flip the sign when you....
2/5
The sum of the digits is a multiple of 3
Divide or multiply both sides by a NEGATIVE number
A=pi*(r^2)

12. Convert 83.33% to a fraction
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.)
5/6
1-sqrroot of 3-2

13. Find distance when given time and rate
D=rt so r= d/t and t=d/r
1/8
M= (Y1-Y2)/(X1-X2)
1/6

14. Surface area of a sphere
SA= 4pi(r^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.)
Pi(r^2)h
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

15. Perfect Squares 1-15
V=Lwh
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 of digits is a multiple of 3 and the last digit is even.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

16. Area of a sector
1/8
X = Measure of interior angle/Area of Circle 360
Divide or multiply both sides by a NEGATIVE number
P= 2L + 2w

17. Surface area of a right circular cylinder
1-sqrroot of 3-2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2(pi(r^2))+ 2pirh
2/5

18. Side lengths of a 30-60-90 right triangle
P= 2L + 2w
1-sqrroot of 3-2
M= (Y1-Y2)/(X1-X2)
The sum of the digits is a multiple of 3

19. Convert 40% to a fraction
2/5
1-sqrroot of 3-2
4/5
2/3

20. Area of parallelogram
Subtract them. i.e (5^7)/(5^3)= 5^4
A=b*h
1/6
1-sqrroot of 3-2

21. Convert 60% to a fraction
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.)
4/5
Add them. i.e. (5^7) * (5^3) = 5^10

22. Convert 12.5% to a fraction
1/4
SA= 4pi(r^3)
1/8
X = Measure of interior angle/Circumference of circle 360

23. 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)
1/5
1-1-sqrroot of 2
2(pi(r^2))+ 2pirh

24. How to recognize a # as a multiple of 3
1/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
The sum of the digits is a multiple of 3

25. First 10 prime #s
3/5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2(pi(r^2))+ 2pirh
A=b*h

26. How to recognize a multiple of 6
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Sum of digits is a multiple of 3 and the last digit is even.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
C=2pir OR d*pi

27. Convert 33.33% to a fraction
1/3
3/5
1/5
V=(4/3)pi(r^3)

28. 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)
1/8
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= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

29. How to recognize a # as a multiple of 4
2/5
P= 2L + 2w
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 3

30. 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)]
1/4
2(pi(r^2))+ 2pirh
1/3

31. Slope given 2 points
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)
M= (Y1-Y2)/(X1-X2)
1-1-sqrroot of 2
1/6

32. Convert 80% to a fraction
4/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
V=Lwh
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

33. Area of a trapezoid
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Add them. i.e. (5^7) * (5^3) = 5^10
X = Measure of interior angle/Area of Circle 360
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

34. Perimeter of a rectangle
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1-sqrroot of 3-2
C=2pir OR d*pi
P= 2L + 2w

35. Volume of a sphere
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
A=l*w
2(pi(r^2))+ 2pirh
V=(4/3)pi(r^3)

36. How to recognize a # as a multiple of 9
Add them. i.e. (5^7) * (5^3) = 5^10
2(pi(r^2))+ 2pirh
1/5
The sum of the digits is a multiple of 9.

37. Find hypotenuse of a right triangle given 2 side lengths
5/6
X = Measure of interior angle/Circumference of circle 360
2/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

38. Surface area of a rectangular solid
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=l*w
SA= 2( Lw + Lh + w*h)
5/6

39. How to find the sum of consecutive #s
Sum= (Average of Consecutive #s) * (# of terms in set)
Add them. i.e. (5^7) * (5^3) = 5^10
1/5
X = Measure of interior angle/Area of Circle 360

40. Volume of a right circular cylinder
V=(4/3)pi(r^3)
Pi(r^2)h
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2/5

41. Convert 16.66% to a fraction
A= (1/2)b*h
X = Measure of interior angle/Circumference of circle 360
1/6
2/5

42. Area of a rectangle
A=l*w
4/5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

43. Convert 20% to a fraction
1/5
C=2pir OR d*pi
Pi(r^2)h
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

44. Area of a circle
Sum= (Average of Consecutive #s) * (# of terms in set)
1-sqrroot of 3-2
A=pi*(r^2)
Divide or multiply both sides by a NEGATIVE number

45. Convert 75% to a fraction
Subtract them. i.e (5^7)/(5^3)= 5^4
1/6
3/4
M= (Y1-Y2)/(X1-X2)