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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 83.33% to a fraction
A= (1/2)b*h
SA= 2( Lw + Lh + w*h)
1-1-sqrroot of 2
5/6

2. How to find the sum of consecutive #s
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
SA= 4pi(r^3)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sum= (Average of Consecutive #s) * (# of terms in set)

3. How to recognize a # as a multiple of 3
3/5
The sum of the digits is a multiple of 3
5/6
2(pi(r^2))+ 2pirh

4. Convert 60% to a fraction
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)
3/5
D=rt so r= d/t and t=d/r

5. How to recognize a # as a multiple of 9
3/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
The sum of the digits is a multiple of 9.
2(pi(r^2))+ 2pirh

6. When multiplying exponential #s with the same base - you do this to the exponents...
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Sum= (Average of Consecutive #s) * (# of terms in set)
Add them. i.e. (5^7) * (5^3) = 5^10
V=Lwh

7. How to recognize a multiple of 6
1/5
2(pi(r^2))+ 2pirh
A=b*h
Sum of digits is a multiple of 3 and the last digit is even.

8. Side lengths of a 30-60-90 right triangle
1-sqrroot of 3-2
A= (1/2)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.
2/3

9. Convert 16.66% to a fraction
4/5
D=rt so r= d/t and t=d/r
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
1/6

10. Perfect Squares 1-15
1-sqrroot of 3-2
4/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3/4

11. Perimeter of a rectangle
V=(4/3)pi(r^3)
1/6
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
P= 2L + 2w

12. How to recognize if a # is a multiple of 12
V=Lwh
A= (1/2)b*h
SA= 2( Lw + Lh + w*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.)

13. Area of a circle
2(pi(r^2))+ 2pirh
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.
D=rt so r= d/t and t=d/r

14. Area of a rectangle
Pi(r^2)h
1/4
P= 2L + 2w
A=l*w

15. Area of a sector
X = Measure of interior angle/Area of Circle 360
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.)
V=Lwh
1-sqrroot of 3-2

16. Convert 20% to a fraction
X = Measure of interior angle/Area of Circle 360
1/5
A=b*h
The sum of the digits is a multiple of 9.

17. Surface area of a rectangular solid
2/3
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.)
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.

18. Convert 75% to a fraction
Pi(r^2)h
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)
A= (1/2)b*h

19. How to recognize a # as a multiple of 4
P= 2L + 2w
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.)
A= (1/2)b*h
4/5

20. Convert 80% to a fraction
4/5
1-1-sqrroot of 2
SA= 4pi(r^3)
Sum= (Average of Consecutive #s) * (# of terms in set)

21. When asked to find the distance between 2 points on a graph use this formula...
The sum of the digits is a multiple of 9.
SA= 4pi(r^3)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
A=b*h

22. Side lengths of a 45-45-90 right triangle
A=b*h
1-1-sqrroot of 2
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Pi(r^2)h

23. Quadratic Formula
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)
5/6
1/3

24. Circumference of a Circle
4/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
C=2pir OR d*pi
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

25. Area of parallelogram
A=b*h
V=Lwh
4/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

26. Find hypotenuse of a right triangle given 2 side lengths
3/4
4/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
X = Measure of interior angle/Area of Circle 360

27. Convert 12.5% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
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.)
The sum of the digits is a multiple of 3

28. Slope given 2 points
Pi(r^2)h
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
M= (Y1-Y2)/(X1-X2)
2/5

29. Convert 40% to a fraction
1/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2/5
Add them. i.e. (5^7) * (5^3) = 5^10

30. Surface area of a right circular cylinder
2(pi(r^2))+ 2pirh
2/3
V=Lwh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

31. Area of a triangle
X = Measure of interior angle/Circumference of circle 360
4/5
A= (1/2)b*h
M= (Y1-Y2)/(X1-X2)

32. When dividing exponential #s with the same base - you do this to the exponents...
5/6
A=pi*(r^2)
Divide or multiply both sides by a NEGATIVE number
Subtract them. i.e (5^7)/(5^3)= 5^4

33. Area of a trapezoid
A=l*w
Pi(r^2)h
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.

34. Convert 66.66% to a fraction
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.)
Add them. i.e. (5^7) * (5^3) = 5^10
2/3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

35. When solving an inequality - flip the sign when you....
Pi(r^2)h
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)
Divide or multiply both sides by a NEGATIVE number
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

36. Surface area of a sphere
SA= 4pi(r^3)
1-1-sqrroot of 2
1/3
Subtract them. i.e (5^7)/(5^3)= 5^4

37. Volume of a sphere
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.
V=(4/3)pi(r^3)
C=2pir OR d*pi

38. First 10 prime #s
X = Measure of interior angle/Circumference of circle 360
V=(4/3)pi(r^3)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
M= (Y1-Y2)/(X1-X2)

39. Arc length
X = Measure of interior angle/Circumference of circle 360
1/6
A= (1/2)b*h
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

40. Volume of a rectangular box
A= (1/2)b*h
2(pi(r^2))+ 2pirh
A=pi*(r^2)
V=Lwh

41. Convert 33.33% to a fraction
1/3
3/4
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sum of digits is a multiple of 3 and the last digit is even.

42. Find distance when given time and rate
D=rt so r= d/t and t=d/r
The sum of the digits is a multiple of 9.
Pi(r^2)h
Divide or multiply both sides by a NEGATIVE number

43. How to find the average of consecutive #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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
5/6

44. Convert 25% to a fraction
1/6
5/6
Pi(r^2)h
1/4

45. Volume of a right circular cylinder
Pi(r^2)h
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
The sum of the digits is a multiple of 9.