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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 circle
Divide or multiply both sides by a NEGATIVE number
A= (1/2)b*h
A=pi*(r^2)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

2. Arc length
A=b*h
1-sqrroot of 3-2
2/5
X = Measure of interior angle/Circumference of circle 360

3. Convert 83.33% to a fraction
The sum of the digits is a multiple of 3
5/6
A=pi*(r^2)
X = Measure of interior angle/Circumference of circle 360

4. When asked to find the distance between 2 points on a graph use this formula...
1/3
A=pi*(r^2)
D=rt so r= d/t and t=d/r
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

5. When dividing exponential #s with the same base - you do this to the exponents...
A=l*w
Subtract them. i.e (5^7)/(5^3)= 5^4
The sum of the digits is a multiple of 9.
1/4

6. How to find the average of consecutive #s
A=l*w
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 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.)
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)

7. How to recognize a # as a multiple of 4
2/3
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.)
SA= 2( Lw + Lh + w*h)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

8. When solving an inequality - flip the sign when you....
Divide or multiply both sides by a NEGATIVE number
2(pi(r^2))+ 2pirh
C=2pir OR d*pi
V=(4/3)pi(r^3)

9. Perfect Squares 1-15
4/5
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
5/6

10. Convert 75% 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.)
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)
3/4
A=b*h

11. Convert 16.66% to a fraction
The sum of the digits is a multiple of 3
1/6
The sum of the digits is a multiple of 9.
2/5

12. Convert 20% to a fraction
1/5
V=Lwh
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
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.)

13. Area of a trapezoid
M= (Y1-Y2)/(X1-X2)
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
1/3

14. Surface area of a rectangular solid
1-1-sqrroot of 2
SA= 2( Lw + Lh + w*h)
3/4
X = Measure of interior angle/Circumference of circle 360

15. Volume of a sphere
Divide or multiply both sides by a NEGATIVE number
V=(4/3)pi(r^3)
Sum= (Average of Consecutive #s) * (# of terms in set)
P= 2L + 2w

16. When multiplying exponential #s with the same base - you do this to the exponents...
SA= 2( Lw + Lh + w*h)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Add them. i.e. (5^7) * (5^3) = 5^10
A=l*w

17. Area of a triangle
1/3
The sum of the digits is a multiple of 3
A= (1/2)b*h
SA= 4pi(r^3)

18. Convert 66.66% to a fraction
5/6
3/4
A=l*w
2/3

19. Perimeter of a rectangle
P= 2L + 2w
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
A=l*w
2(pi(r^2))+ 2pirh

20. Convert 80% to a fraction
4/5
D=rt so r= d/t and t=d/r
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/6

21. Quadratic Formula
3/4
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)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Sum of digits is a multiple of 3 and the last digit is even.

22. Convert 33.33% to a fraction
1/3
A=l*w
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Sum of digits is a multiple of 3 and the last digit is even.

23. Surface area of a right circular cylinder
2(pi(r^2))+ 2pirh
1/8
1-sqrroot of 3-2
M= (Y1-Y2)/(X1-X2)

24. Area of a sector
1/4
3/4
M= (Y1-Y2)/(X1-X2)
X = Measure of interior angle/Area of Circle 360

25. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
M= (Y1-Y2)/(X1-X2)
Add them. i.e. (5^7) * (5^3) = 5^10

26. How to recognize if a # is a multiple of 12
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
2(pi(r^2))+ 2pirh
1-sqrroot of 3-2
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.)

27. Circumference of a Circle
V=Lwh
C=2pir OR d*pi
5/6
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

28. Volume of a rectangular box
3/4
V=Lwh
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1-1-sqrroot of 2

29. Area of a rectangle
1-1-sqrroot of 2
2/3
V=Lwh
A=l*w

30. Convert 40% to a fraction
V=(4/3)pi(r^3)
Add them. i.e. (5^7) * (5^3) = 5^10
V=Lwh
2/5

31. Find hypotenuse of a right triangle given 2 side lengths
1/6
A=pi*(r^2)
V=(4/3)pi(r^3)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

32. Convert 25% to a fraction
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Pi(r^2)h
A= (1/2)b*h
1/4

33. Convert 60% to a fraction
5/6
SA= 2( Lw + Lh + w*h)
3/5
The sum of the digits is a multiple of 9.

34. Surface area of a sphere
2/5
1-1-sqrroot of 2
SA= 4pi(r^3)
The sum of the digits is a multiple of 9.

35. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
D=rt so r= d/t and t=d/r
P= 2L + 2w
3/4

36. How to recognize a # as a multiple of 3
1-sqrroot of 3-2
1/8
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 3

37. Find distance when given time and rate
A= (1/2)b*h
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
D=rt so r= d/t and t=d/r
1/5

38. Area of parallelogram
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
A=b*h
Divide or multiply both sides by a NEGATIVE number
1/6

39. First 10 prime #s
Pi(r^2)h
The sum of the digits is a multiple of 3
A=l*w
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

40. Side lengths of a 30-60-90 right triangle
X = Measure of interior angle/Circumference of circle 360
1-sqrroot of 3-2
Divide or multiply both sides by a NEGATIVE number
SA= 4pi(r^3)

41. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
A=pi*(r^2)
X = Measure of interior angle/Area of Circle 360
Add them. i.e. (5^7) * (5^3) = 5^10

42. How to find the sum of consecutive #s
Sum= (Average of Consecutive #s) * (# of terms in set)
3/5
1/3
A=b*h

43. Convert 12.5% to a fraction
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/8
A= (1/2)b*h
1-sqrroot of 3-2

44. How to recognize a # as a multiple of 9
Add them. i.e. (5^7) * (5^3) = 5^10
A=pi*(r^2)
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.

45. Volume of a right circular cylinder
A=pi*(r^2)
2/5
Pi(r^2)h
Add them. i.e. (5^7) * (5^3) = 5^10