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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 60% to a fraction
A=l*w
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
3/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

2. Convert 25% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Divide or multiply both sides by a NEGATIVE number
V=Lwh
1/4

3. Arc length
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
P= 2L + 2w
X = Measure of interior angle/Circumference of circle 360
2/3

4. Side lengths of a 30-60-90 right triangle
Subtract them. i.e (5^7)/(5^3)= 5^4
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-sqrroot of 3-2
A=b*h

5. 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)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The sum of the digits is a multiple of 9.
1/3

6. Area of a rectangle
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.)
A=l*w
1/3

7. Perfect Squares 1-15
Sum of digits is a multiple of 3 and the last digit is even.
X = Measure of interior angle/Area of Circle 360
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/4

8. How to find the sum of consecutive #s
D=rt so r= d/t and t=d/r
1/6
V=Lwh
Sum= (Average of Consecutive #s) * (# of terms in set)

9. Circumference of a Circle
X = Measure of interior angle/Circumference of circle 360
SA= 4pi(r^3)
Pi(r^2)h
C=2pir OR d*pi

10. Convert 12.5% to a fraction
1/8
Sum= (Average of Consecutive #s) * (# of terms in set)
3/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

11. Convert 75% to a fraction
1-1-sqrroot of 2
3/4
1-sqrroot of 3-2
The sum of the digits is a multiple of 3

12. How to recognize a multiple of 6
A=b*h
A=pi*(r^2)
Sum of digits is a multiple of 3 and the last digit is even.
P= 2L + 2w

13. Area of a trapezoid
C=2pir OR d*pi
X = Measure of interior angle/Area of Circle 360
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.

14. Convert 80% to a fraction
4/5
1/8
V=Lwh
Pi(r^2)h

15. Convert 33.33% to a fraction
A= (1/2)b*h
1/6
Sum= (Average of Consecutive #s) * (# of terms in set)
1/3

16. Surface area of a rectangular solid
1-1-sqrroot of 2
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.)
5/6

17. Volume of a sphere
V=(4/3)pi(r^3)
1/6
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
A=b*h

18. How to recognize if a # 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.
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.)
Sum= (Average of Consecutive #s) * (# of terms in set)
SA= 4pi(r^3)

19. Convert 16.66% to a fraction
1/5
1/8
1/6
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

20. Volume of a rectangular box
SA= 4pi(r^3)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
V=Lwh
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.)

21. When multiplying exponential #s with the same base - you do this to the exponents...
A=b*h
SA= 2( Lw + Lh + w*h)
2/3
Add them. i.e. (5^7) * (5^3) = 5^10

22. Side lengths of a 45-45-90 right triangle
Sum of digits is a multiple of 3 and the last digit is even.
D=rt so r= d/t and t=d/r
Divide or multiply both sides by a NEGATIVE number
1-1-sqrroot of 2

23. First 10 prime #s
Sum of digits is a multiple of 3 and the last digit is even.
The sum of the digits is a multiple of 9.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
3/5

24. How to find the average of consecutive #s
SA= 4pi(r^3)
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)
Add them. i.e. (5^7) * (5^3) = 5^10

25. Area of a sector
X = Measure of interior angle/Area of Circle 360
2/5
1/4
SA= 4pi(r^3)

26. Convert 66.66% to a fraction
2/3
1/4
Add them. i.e. (5^7) * (5^3) = 5^10
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

27. When solving an inequality - flip the sign when you....
2/5
Divide or multiply both sides by a NEGATIVE number
A=l*w
Add them. i.e. (5^7) * (5^3) = 5^10

28. Area of a triangle
Pi(r^2)h
SA= 4pi(r^3)
Subtract them. i.e (5^7)/(5^3)= 5^4
A= (1/2)b*h

29. Area of a circle
The sum of the digits is a multiple of 9.
A=pi*(r^2)
5/6
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)

30. Perimeter of a rectangle
1/3
P= 2L + 2w
1/5
Sum= (Average of Consecutive #s) * (# of terms in set)

31. Find distance when given time and rate
X = Measure of interior angle/Area of Circle 360
D=rt so r= d/t and t=d/r
Subtract them. i.e (5^7)/(5^3)= 5^4
A=l*w

32. Surface area of a sphere
The sum of the digits is a multiple of 9.
SA= 4pi(r^3)
A= (1/2)b*h
3/5

33. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
V=Lwh
2/3
X = Measure of interior angle/Circumference of circle 360

34. Volume of a right circular cylinder
4/5
X = Measure of interior angle/Circumference of circle 360
2(pi(r^2))+ 2pirh
Pi(r^2)h

35. How to recognize a # as a multiple of 3
Sum of digits is a multiple of 3 and the last digit is even.
The sum of the digits is a multiple of 3
SA= 4pi(r^3)
1-sqrroot of 3-2

36. Convert 40% to a fraction
Sum= (Average of Consecutive #s) * (# of terms in set)
1/3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2/5

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

38. Surface area of a right circular cylinder
M= (Y1-Y2)/(X1-X2)
4/5
2(pi(r^2))+ 2pirh
X = Measure of interior angle/Area of Circle 360

39. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
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.)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/8

40. How to recognize a # as a multiple of 4
1/3
1-sqrroot of 3-2
The sum of the digits is a multiple of 9.
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.)

41. Area of parallelogram
Add them. i.e. (5^7) * (5^3) = 5^10
Subtract them. i.e (5^7)/(5^3)= 5^4
C=2pir OR d*pi
A=b*h

42. Convert 20% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/5
X = Measure of interior angle/Area of Circle 360
2/3

43. Quadratic Formula
1-1-sqrroot of 2
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
2/5

44. Convert 83.33% to a fraction
5/6
D=rt so r= d/t and t=d/r
A=pi*(r^2)
The sum of the digits is a multiple of 9.

45. When asked to find the distance between 2 points on a graph use this formula...
SA= 2( Lw + Lh + w*h)
D=rt so r= d/t and t=d/r
X = Measure of interior angle/Area of Circle 360
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]