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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. Area of a sector
1-1-sqrroot of 2
C=2pir OR d*pi
2/5
X = Measure of interior angle/Area of Circle 360

2. Find hypotenuse of a right triangle given 2 side lengths
SA= 2( Lw + Lh + w*h)
A=b*h
3/4
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

3. Arc length
Divide or multiply both sides by a NEGATIVE number
X = Measure of interior angle/Circumference of circle 360
3/4
C=2pir OR d*pi

4. How to recognize a # as a multiple of 4
3/5
Pi(r^2)h
1/3
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.)

5. Circumference of a Circle
2/3
SA= 4pi(r^3)
Sum of digits is a multiple of 3 and the last digit is even.
C=2pir OR d*pi

6. Area of parallelogram
3/5
C=2pir OR d*pi
A=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.

7. Convert 80% to a fraction
4/5
2/5
Subtract them. i.e (5^7)/(5^3)= 5^4
1/6

8. 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)]
Divide or multiply both sides by a NEGATIVE number
5/6
V=(4/3)pi(r^3)

9. Volume of a right circular cylinder
Pi(r^2)h
1-1-sqrroot of 2
D=rt so r= d/t and t=d/r
P= 2L + 2w

10. How to recognize if a # is a multiple of 12
A= (1/2)b*h
A=b*h
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.)

11. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
1/4
X = Measure of interior angle/Area of Circle 360
The sum of the digits is a multiple of 3

12. Quadratic Formula
A=pi*(r^2)
V=(4/3)pi(r^3)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
A=l*w

13. Convert 25% 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)
1/4
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
4/5

14. Area of a circle
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1-1-sqrroot of 2
A=pi*(r^2)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

15. Area of a triangle
The sum of the digits is a multiple of 9.
A= (1/2)b*h
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(pi(r^2))+ 2pirh

16. Side lengths of a 45-45-90 right triangle
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
1-1-sqrroot of 2

17. Perimeter of a rectangle
The sum of the digits is a multiple of 3
P= 2L + 2w
C=2pir OR d*pi
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

18. Area of a trapezoid
A=pi*(r^2)
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
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

19. Side lengths of a 30-60-90 right triangle
SA= 2( Lw + Lh + w*h)
1-sqrroot of 3-2
M= (Y1-Y2)/(X1-X2)
1/6

20. Find distance when given time and rate
Sum= (Average of Consecutive #s) * (# of terms in set)
C=2pir OR d*pi
D=rt so r= d/t and t=d/r
4/5

21. How to find the average of consecutive #s
The sum of the digits is a multiple of 9.
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)
1/3
1-1-sqrroot of 2

22. When solving an inequality - flip the sign when you....
V=(4/3)pi(r^3)
Divide or multiply both sides by a NEGATIVE number
1/8
3/4

23. Slope given 2 points
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
M= (Y1-Y2)/(X1-X2)
1-sqrroot of 3-2
X = Measure of interior angle/Circumference of circle 360

24. Convert 75% to a fraction
3/4
P= 2L + 2w
Add them. i.e. (5^7) * (5^3) = 5^10
3/5

25. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
1/5
2/5
Sum of digits is a multiple of 3 and the last digit is even.

26. Surface area of a right circular cylinder
2(pi(r^2))+ 2pirh
The sum of the digits is a multiple of 9.
A= (1/2)b*h
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

27. 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.)
1/5
1/8
5/6

28. Convert 66.66% to a fraction
2/3
1/8
Pi(r^2)h
A=b*h

29. Surface area of a sphere
1/3
SA= 4pi(r^3)
4/5
Divide or multiply both sides by a NEGATIVE number

30. Convert 12.5% to a fraction
2(pi(r^2))+ 2pirh
X = Measure of interior angle/Circumference of circle 360
1/8
M= (Y1-Y2)/(X1-X2)

31. Surface area of a rectangular solid
SA= 2( Lw + Lh + w*h)
3/4
M= (Y1-Y2)/(X1-X2)
V=Lwh

32. How to find the sum of consecutive #s
X = Measure of interior angle/Area of Circle 360
X = Measure of interior angle/Circumference of circle 360
Sum= (Average of Consecutive #s) * (# of terms in set)
SA= 2( Lw + Lh + w*h)

33. When multiplying exponential #s with the same base - you do this to the exponents...
A=l*w
Add them. i.e. (5^7) * (5^3) = 5^10
P= 2L + 2w
V=Lwh

34. Volume of a sphere
1/5
A=pi*(r^2)
V=(4/3)pi(r^3)
A=b*h

35. First 10 prime #s
4/5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X = Measure of interior angle/Area of Circle 360
1/4

36. Convert 33.33% to a fraction
1-sqrroot of 3-2
1/3
P= 2L + 2w
X = Measure of interior angle/Circumference of circle 360

37. Convert 83.33% to a fraction
A= (1/2)b*h
A=l*w
SA= 4pi(r^3)
5/6

38. 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.
A=b*h
SA= 2( Lw + Lh + w*h)
The sum of the digits is a multiple of 3

39. Area of a rectangle
The sum of the digits is a multiple of 3
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
A=l*w
2/3

40. Convert 60% 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
SA= 4pi(r^3)
3/5

41. Convert 40% to a fraction
M= (Y1-Y2)/(X1-X2)
A=l*w
2/5
The sum of the digits is a multiple of 9.

42. Volume of a rectangular box
The sum of the digits is a multiple of 9.
V=Lwh
4/5
The sum of the digits is a multiple of 3

43. Convert 16.66% to a fraction
3/4
1/6
V=Lwh
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

44. When dividing exponential #s with the same base - you do this to the exponents...
A=b*h
Subtract them. i.e (5^7)/(5^3)= 5^4
5/6
1-sqrroot of 3-2

45. Perfect Squares 1-15
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
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
1/8