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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 75% to a fraction
3/4
A=l*w
Pi(r^2)h
A=b*h

2. Volume of a right circular cylinder
Pi(r^2)h
The sum of the digits is a multiple of 3
M= (Y1-Y2)/(X1-X2)
1/8

3. Convert 25% to a fraction
4/5
1/4
5/6
D=rt so r= d/t and t=d/r

4. How to find the sum of consecutive #s
Sum= (Average of Consecutive #s) * (# of terms in set)
A=l*w
C=2pir OR d*pi
D=rt so r= d/t and t=d/r

5. Convert 33.33% to a fraction
1/3
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/4
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

6. First 10 prime #s
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
C=2pir OR d*pi
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A=l*w

7. Area of a rectangle
V=(4/3)pi(r^3)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2/3
A=l*w

8. Side lengths of a 45-45-90 right triangle
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
3/5
1-sqrroot of 3-2
1-1-sqrroot of 2

9. Convert 83.33% to a fraction
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Add them. i.e. (5^7) * (5^3) = 5^10
5/6
The sum of the digits is a multiple of 3

10. Slope given 2 points
V=Lwh
M= (Y1-Y2)/(X1-X2)
Divide or multiply both sides by a NEGATIVE number
The sum of the digits is a multiple of 3

11. Convert 40% to a fraction
2/5
Sum of digits is a multiple of 3 and the last digit is even.
P= 2L + 2w
V=(4/3)pi(r^3)

12. 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.
2/3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Subtract them. i.e (5^7)/(5^3)= 5^4

13. Convert 80% to a fraction
4/5
Add them. i.e. (5^7) * (5^3) = 5^10
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)

14. Volume of a rectangular box
V=Lwh
A=b*h
X = Measure of interior angle/Area of Circle 360
Sum= (Average of Consecutive #s) * (# of terms in set)

15. Convert 66.66% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
2/3
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
X = Measure of interior angle/Circumference of circle 360

16. Circumference of a Circle
C=2pir OR d*pi
D=rt so r= d/t and t=d/r
Subtract them. i.e (5^7)/(5^3)= 5^4
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)

17. Surface area of a rectangular solid
SA= 2( Lw + Lh + w*h)
X = Measure of interior angle/Circumference of circle 360
1-1-sqrroot of 2
V=Lwh

18. Area of a sector
Pi(r^2)h
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
3/4
X = Measure of interior angle/Area of Circle 360

19. Surface area of a sphere
The sum of the digits is a multiple of 9.
SA= 4pi(r^3)
1/6
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

20. How to recognize a # as 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
3/5
The sum of the digits is a multiple of 3

21. 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)]
The sum of the digits is a multiple of 3
V=(4/3)pi(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.)

22. How to recognize if a # is a multiple of 12
2/3
D=rt so r= d/t and t=d/r
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.)
M= (Y1-Y2)/(X1-X2)

23. Convert 16.66% to a fraction
SA= 2( Lw + Lh + w*h)
Subtract them. i.e (5^7)/(5^3)= 5^4
1/6
A= (1/2)b*h

24. Perfect Squares 1-15
Divide or multiply both sides by a NEGATIVE number
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1-1-sqrroot of 2
5/6

25. Side lengths of a 30-60-90 right triangle
5/6
Divide or multiply both sides by a NEGATIVE number
1/6
1-sqrroot of 3-2

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

27. When solving an inequality - flip the sign when you....
SA= 4pi(r^3)
Subtract them. i.e (5^7)/(5^3)= 5^4
Divide or multiply both sides by a NEGATIVE number
2(pi(r^2))+ 2pirh

28. How to recognize a # as a multiple of 4
V=(4/3)pi(r^3)
1/5
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.

29. Convert 20% to a fraction
Sum= (Average of Consecutive #s) * (# of terms in set)
V=Lwh
1/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

30. How to find the average of consecutive #s
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
P= 2L + 2w
1-1-sqrroot of 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)

31. Convert 60% to a fraction
5/6
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 = Measure of interior angle/Circumference of circle 360
3/5

32. Area of a circle
1/3
A= (1/2)b*h
A=pi*(r^2)
3/4

33. 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.)
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
P= 2L + 2w
Sum of digits is a multiple of 3 and the last digit is even.

34. Surface area of a right circular cylinder
The sum of the digits is a multiple of 3
P= 2L + 2w
2(pi(r^2))+ 2pirh
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

35. When multiplying exponential #s with the same base - you do this to the exponents...
Sum of digits is a multiple of 3 and the last digit is even.
4/5
Divide or multiply both sides by a NEGATIVE number
Add them. i.e. (5^7) * (5^3) = 5^10

36. Area of parallelogram
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.)
1/6
A=b*h
SA= 2( Lw + Lh + w*h)

37. How to recognize a # as a multiple of 9
1/3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The sum of the digits is a multiple of 9.
X = Measure of interior angle/Circumference of circle 360

38. Arc length
3/4
The sum of the digits is a multiple of 3
X = Measure of interior angle/Circumference of circle 360
4/5

39. Perimeter of a rectangle
Sum= (Average of Consecutive #s) * (# of terms in set)
P= 2L + 2w
1/8
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.)

40. Volume of a sphere
Divide or multiply both sides by a NEGATIVE number
V=(4/3)pi(r^3)
SA= 2( Lw + Lh + w*h)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

41. Convert 12.5% to a fraction
4/5
A= (1/2)b*h
SA= 2( Lw + Lh + w*h)
1/8

42. Quadratic Formula
V=Lwh
Divide or multiply both sides by a NEGATIVE number
5/6
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

43. Area of a triangle
Sum of digits is a multiple of 3 and the last digit is even.
3/5
A= (1/2)b*h
V=(4/3)pi(r^3)

44. When dividing exponential #s with the same base - you do this to the exponents...
X = Measure of interior angle/Area of Circle 360
2/5
Subtract them. i.e (5^7)/(5^3)= 5^4
3/5

45. Find distance when given time and rate
D=rt so r= d/t and t=d/r
V=(4/3)pi(r^3)
2/3
3/5