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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 12.5% to a fraction
P= 2L + 2w
2/3
1/8
Add them. i.e. (5^7) * (5^3) = 5^10

2. Area of a rectangle
3/4
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A=l*w
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

3. Slope given 2 points
1/8
A=b*h
1/6
M= (Y1-Y2)/(X1-X2)

4. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Sum= (Average of Consecutive #s) * (# of terms in set)
X = Measure of interior angle/Area of Circle 360
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

5. Volume of a sphere
V=(4/3)pi(r^3)
X = Measure of interior angle/Area of Circle 360
1-1-sqrroot of 2
A=l*w

6. Convert 20% to a fraction
3/4
1/5
Subtract them. i.e (5^7)/(5^3)= 5^4
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

7. When asked to find the distance between 2 points on a graph use this formula...
5/6
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Divide or multiply both sides by a NEGATIVE number
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
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
3/5
1/4

9. Area of a sector
5/6
1/5
X = Measure of interior angle/Area of Circle 360
M= (Y1-Y2)/(X1-X2)

10. Convert 16.66% to a fraction
SA= 2( Lw + Lh + w*h)
1/6
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)

11. Convert 80% to a fraction
A=b*h
Sum of digits is a multiple of 3 and the last digit is even.
4/5
A=l*w

12. Convert 25% to a fraction
1/4
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.
M= (Y1-Y2)/(X1-X2)

13. Find hypotenuse of a right triangle given 2 side lengths
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/8
Add them. i.e. (5^7) * (5^3) = 5^10
Subtract them. i.e (5^7)/(5^3)= 5^4

14. Find distance when given time and rate
Subtract them. i.e (5^7)/(5^3)= 5^4
3/5
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

15. Area of a triangle
A= (1/2)b*h
3/5
V=Lwh
Divide or multiply both sides by a NEGATIVE number

16. Area of a circle
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 3
A=b*h
A=pi*(r^2)

17. 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.)
The sum of the digits is a multiple of 3
M= (Y1-Y2)/(X1-X2)
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.)

18. How to recognize a # as a multiple of 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.)
M= (Y1-Y2)/(X1-X2)
A=l*w
1/6

19. Quadratic Formula
2/5
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.
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

20. How to recognize a # as a multiple of 3
The sum of the digits is a multiple of 3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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.)
V=(4/3)pi(r^3)

21. Circumference of a Circle
SA= 2( Lw + Lh + w*h)
1-1-sqrroot of 2
C=2pir OR d*pi
3/4

22. Convert 60% to a fraction
M= (Y1-Y2)/(X1-X2)
3/5
1/5
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)

23. How to find the sum of consecutive #s
Pi(r^2)h
Sum of digits is a multiple of 3 and the last digit is even.
2/5
Sum= (Average of Consecutive #s) * (# of terms in set)

24. Volume of a right circular cylinder
X = Measure of interior angle/Area of Circle 360
1-1-sqrroot of 2
Pi(r^2)h
The sum of the digits is a multiple of 9.

25. Side lengths of a 30-60-90 right triangle
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.)
1-1-sqrroot of 2
1/8

26. Area of parallelogram
A=b*h
Sum of digits is a multiple of 3 and the last digit is even.
SA= 2( Lw + Lh + w*h)
X = Measure of interior angle/Area of Circle 360

27. 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)
2/5
SA= 2( Lw + Lh + w*h)
Pi(r^2)h

28. Convert 40% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1-1-sqrroot of 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.
2/5

29. How to recognize a # as a multiple of 9
A=b*h
3/4
Sum of digits is a multiple of 3 and the last digit is even.
The sum of the digits is a multiple of 9.

30. First 10 prime #s
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

31. Convert 66.66% to a fraction
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4/5
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.)
2/3

32. Surface area of a right circular cylinder
V=Lwh
Divide or multiply both sides by a NEGATIVE number
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2(pi(r^2))+ 2pirh

33. Area of a trapezoid
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
X = Measure of interior angle/Area of Circle 360
V=Lwh
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)

34. When dividing exponential #s with the same base - you do this to the exponents...
Divide or multiply both sides by a NEGATIVE number
P= 2L + 2w
2/5
Subtract them. i.e (5^7)/(5^3)= 5^4

35. When multiplying exponential #s with the same base - you do this to the exponents...
A=b*h
The sum of the digits is a multiple of 9.
P= 2L + 2w
Add them. i.e. (5^7) * (5^3) = 5^10

36. Side lengths of a 45-45-90 right triangle
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
1-1-sqrroot of 2
P= 2L + 2w

37. Convert 83.33% to a fraction
5/6
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)
A=b*h

38. Convert 75% to a fraction
1/3
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.)
V=(4/3)pi(r^3)
3/4

39. Perimeter of a rectangle
3/4
P= 2L + 2w
Sum= (Average of Consecutive #s) * (# of terms in set)
1/3

40. Arc length
The sum of the digits is a multiple of 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.)
X = Measure of interior angle/Circumference of circle 360
1-1-sqrroot of 2

41. Volume of a rectangular box
1/5
3/5
V=Lwh
A=l*w

42. How to recognize a multiple of 6
1/3
Sum of digits is a multiple of 3 and the last digit is even.
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

43. Surface area of a rectangular solid
SA= 2( Lw + Lh + w*h)
V=(4/3)pi(r^3)
5/6
X = Measure of interior angle/Area of Circle 360

44. Convert 33.33% to a fraction
Sum= (Average of Consecutive #s) * (# of terms in set)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X = Measure of interior angle/Circumference of circle 360
1/3

45. Surface area of a sphere
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
D=rt so r= d/t and t=d/r
SA= 4pi(r^3)
1-1-sqrroot of 2