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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 asked to find the distance between 2 points on a graph use this formula...
D=rt so r= d/t and t=d/r
5/6
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

2. Convert 80% to a fraction
V=Lwh
4/5
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.)
Pi(r^2)h

3. Convert 40% to a fraction
Pi(r^2)h
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2/5
SA= 2( Lw + Lh + w*h)

4. First 10 prime #s
SA= 2( Lw + Lh + w*h)
5/6
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
3/5

5. Side lengths of a 45-45-90 right triangle
X = Measure of interior angle/Area of Circle 360
1-1-sqrroot of 2
V=Lwh
The sum of the digits is a multiple of 3

6. Area of a sector
X = Measure of interior angle/Area of Circle 360
1/8
5/6
X = Measure of interior angle/Circumference of circle 360

7. Area of a trapezoid
1/4
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
Sum of digits is a multiple of 3 and the last digit is even.

8. Surface area of a right circular cylinder
X = Measure of interior angle/Circumference of circle 360
2(pi(r^2))+ 2pirh
2/5
1-1-sqrroot of 2

9. Area of parallelogram
Add them. i.e. (5^7) * (5^3) = 5^10
D=rt so r= d/t and t=d/r
A=b*h
2/5

10. 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)
1/5
1/3
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

11. Convert 12.5% to a fraction
D=rt so r= d/t and t=d/r
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/8
V=Lwh

12. How to recognize a multiple of 6
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The sum of the digits is a multiple of 3
V=(4/3)pi(r^3)
Sum of digits is a multiple of 3 and the last digit is even.

13. When solving an inequality - flip the sign when you....
Divide or multiply both sides by a NEGATIVE number
2/5
A=l*w
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.)

14. How to find the sum of consecutive #s
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.)
Sum= (Average of Consecutive #s) * (# of terms in set)
Subtract them. i.e (5^7)/(5^3)= 5^4

15. Find distance when given time and rate
Divide or multiply both sides by a NEGATIVE number
4/5
D=rt so r= d/t and t=d/r
M= (Y1-Y2)/(X1-X2)

16. Surface area of a sphere
M= (Y1-Y2)/(X1-X2)
SA= 4pi(r^3)
2/3
The sum of the digits is a multiple of 3

17. Convert 33.33% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
P= 2L + 2w
1/3
A=b*h

18. Convert 83.33% to a fraction
2/5
1/8
5/6
V=(4/3)pi(r^3)

19. Convert 66.66% to a fraction
2/3
A=b*h
SA= 4pi(r^3)
Divide or multiply both sides by a NEGATIVE number

20. Arc length
X = Measure of interior angle/Circumference of circle 360
A= (1/2)b*h
A=pi*(r^2)
V=(4/3)pi(r^3)

21. Find hypotenuse of a right triangle given 2 side lengths
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.)
2/3
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

22. Side lengths of a 30-60-90 right triangle
Sum of digits is a multiple of 3 and the last digit is even.
Pi(r^2)h
1/3
1-sqrroot of 3-2

23. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
SA= 4pi(r^3)
1-sqrroot of 3-2
1/6

24. Volume of a rectangular box
2/5
V=Lwh
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Add them. i.e. (5^7) * (5^3) = 5^10

25. Circumference of a Circle
C=2pir OR d*pi
A=pi*(r^2)
2/3
3/4

26. Convert 60% to a fraction
A=b*h
SA= 4pi(r^3)
3/5
D=rt so r= d/t and t=d/r

27. Convert 20% to a fraction
3/4
C=2pir OR d*pi
1/5
Sum of digits is a multiple of 3 and the last digit is even.

28. Area of a circle
2(pi(r^2))+ 2pirh
Divide or multiply both sides by a NEGATIVE number
A=b*h
A=pi*(r^2)

29. Volume of a right circular cylinder
Sum= (Average of Consecutive #s) * (# of terms in set)
SA= 4pi(r^3)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Pi(r^2)h

30. How to recognize a # as a multiple of 3
1/3
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
V=Lwh
The sum of the digits is a multiple of 3

31. Area of a triangle
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.
V=Lwh
A= (1/2)b*h

32. Perfect Squares 1-15
1/4
P= 2L + 2w
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2/5

33. 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.)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/6
SA= 4pi(r^3)

34. Area of a rectangle
A=l*w
1/4
1/6
C=2pir OR d*pi

35. Convert 16.66% to a fraction
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.)
1/6
Add them. i.e. (5^7) * (5^3) = 5^10

36. Quadratic Formula
1-sqrroot of 3-2
1/4
Subtract them. i.e (5^7)/(5^3)= 5^4
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

37. When dividing exponential #s with the same base - you do this to the exponents...
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)
D=rt so r= d/t and t=d/r
C=2pir OR d*pi

38. Surface area of a rectangular solid
P= 2L + 2w
3/5
SA= 2( Lw + Lh + w*h)
V=(4/3)pi(r^3)

39. Perimeter of a rectangle
4/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
2/5
P= 2L + 2w

40. Convert 25% to a fraction
X = Measure of interior angle/Circumference of circle 360
Divide or multiply both sides by a NEGATIVE number
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/4

41. Volume of a sphere
The sum of the digits is a multiple of 9.
D=rt so r= d/t and t=d/r
X = Measure of interior angle/Area of Circle 360
V=(4/3)pi(r^3)

42. Slope given 2 points
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A= (1/2)b*h
M= (Y1-Y2)/(X1-X2)
Sum= (Average of Consecutive #s) * (# of terms in set)

43. How to recognize a # as 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)
The sum of the digits is a multiple of 9.
M= (Y1-Y2)/(X1-X2)
5/6

44. How to recognize a # as a multiple of 4
2/3
Divide or multiply both sides by a NEGATIVE number
C=2pir OR d*pi
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.)

45. Convert 75% to a fraction
A=l*w
3/4
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
D=rt so r= d/t and t=d/r