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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. Arc length
X = Measure of interior angle/Circumference of circle 360
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.
A=b*h

2. 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.)
The sum of the digits is a multiple of 9.
X = Measure of interior angle/Area of Circle 360
4/5

3. Side lengths of a 30-60-90 right triangle
V=Lwh
1-sqrroot of 3-2
SA= 4pi(r^3)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

4. Area of a sector
The sum of the digits is a multiple of 9.
2/5
X = Measure of interior angle/Area of Circle 360
1-1-sqrroot of 2

5. Volume of a right circular cylinder
Pi(r^2)h
Pythagorean Theorem: h^2= (S1)^2 + (S2)^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.)
D=rt so r= d/t and t=d/r

6. Area of a triangle
A= (1/2)b*h
1/3
Subtract them. i.e (5^7)/(5^3)= 5^4
1/8

7. Perfect Squares 1-15
SA= 4pi(r^3)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
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

8. How to recognize a # as a multiple of 4
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
A=b*h
D=rt so r= d/t and t=d/r
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.)

9. Perimeter of a rectangle
1/8
P= 2L + 2w
Sum= (Average of Consecutive #s) * (# of terms in set)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

10. Convert 75% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
5/6
3/4
X = Measure of interior angle/Circumference of circle 360

11. Convert 83.33% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
V=Lwh
Divide or multiply both sides by a NEGATIVE number
5/6

12. How to recognize a # as a multiple of 9
2(pi(r^2))+ 2pirh
V=(4/3)pi(r^3)
3/5
The sum of the digits is a multiple of 9.

13. Convert 16.66% to a fraction
3/4
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/6
1/4

14. Find distance when given time and rate
D=rt so r= d/t and t=d/r
SA= 4pi(r^3)
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)
Sum of digits is a multiple of 3 and the last digit is even.

15. Area of a trapezoid
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.
Divide or multiply both sides by a NEGATIVE number
A=pi*(r^2)

16. Area of parallelogram
C=2pir OR d*pi
3/5
1/8
A=b*h

17. Quadratic Formula
1-1-sqrroot of 2
1/3
The sum of the digits is a multiple of 9.
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

18. Area of a circle
A=pi*(r^2)
Sum of digits is a multiple of 3 and the last digit is even.
SA= 4pi(r^3)
1/4

19. Volume of a sphere
SA= 2( Lw + Lh + w*h)
1/8
P= 2L + 2w
V=(4/3)pi(r^3)

20. When multiplying exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
Add them. i.e. (5^7) * (5^3) = 5^10
3/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

21. Surface area of a rectangular solid
SA= 2( Lw + Lh + w*h)
1/6
X = Measure of interior angle/Area of Circle 360
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

22. Convert 33.33% to a fraction
SA= 2( Lw + Lh + w*h)
Subtract them. i.e (5^7)/(5^3)= 5^4
1/3
M= (Y1-Y2)/(X1-X2)

23. Find hypotenuse of a right triangle given 2 side lengths
2/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

24. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
A=l*w
SA= 4pi(r^3)

25. How to find the sum of consecutive #s
4/5
Sum= (Average of Consecutive #s) * (# of terms in set)
A=l*w
1/5

26. Area of a rectangle
1/3
Sum= (Average of Consecutive #s) * (# of terms in set)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A=l*w

27. Convert 12.5% to a fraction
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=b*h
Pi(r^2)h
1/8

28. Slope given 2 points
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Divide or multiply both sides by a NEGATIVE number
M= (Y1-Y2)/(X1-X2)
The sum of the digits is a multiple of 3

29. Convert 20% to a fraction
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 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/5
A=l*w

30. How to recognize a # as a multiple of 3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The sum of the digits is a multiple of 3
1-1-sqrroot of 2
1/4

31. Convert 80% to a fraction
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X = Measure of interior angle/Area of Circle 360
M= (Y1-Y2)/(X1-X2)
4/5

32. Surface area of a sphere
1-sqrroot of 3-2
1/5
The sum of the digits is a multiple of 3
SA= 4pi(r^3)

33. When dividing exponential #s with the same base - you do this to the exponents...
SA= 2( Lw + Lh + w*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.
V=Lwh
Subtract them. i.e (5^7)/(5^3)= 5^4

34. How to recognize a multiple of 6
The sum of the digits is a multiple of 3
1/8
Sum of digits is a multiple of 3 and the last digit is even.
A= (1/2)b*h

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)]
2(pi(r^2))+ 2pirh
2/5
D=rt so r= d/t and t=d/r

36. First 10 prime #s
The sum of the digits is a multiple of 3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/6
Subtract them. i.e (5^7)/(5^3)= 5^4

37. Convert 66.66% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
2/5
2/3
SA= 2( Lw + Lh + w*h)

38. Circumference of a Circle
C=2pir OR d*pi
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.)
1/3

39. Convert 40% to a fraction
3/4
Subtract them. i.e (5^7)/(5^3)= 5^4
2/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

40. Convert 60% to a fraction
3/5
3/4
A=b*h
The sum of the digits is a multiple of 9.

41. When solving an inequality - flip the sign when you....
Divide or multiply both sides by a NEGATIVE number
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)
3/5

42. How to find the average of consecutive #s
V=Lwh
Pythagorean Theorem: h^2= (S1)^2 + (S2)^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)
3/5

43. Volume of a rectangular box
C=2pir OR d*pi
V=Lwh
A=b*h
SA= 2( Lw + Lh + w*h)

44. Surface area of a right circular cylinder
A= (1/2)b*h
Divide or multiply both sides by a NEGATIVE number
2(pi(r^2))+ 2pirh
1-sqrroot of 3-2

45. Convert 25% to a fraction
1/3
Add them. i.e. (5^7) * (5^3) = 5^10
1/4
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)