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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 75% to a fraction
1-sqrroot of 3-2
3/4
Divide or multiply both sides by a NEGATIVE number
V=(4/3)pi(r^3)

2. How to recognize if a # is a multiple of 12
5/6
Add them. i.e. (5^7) * (5^3) = 5^10
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.)
Pi(r^2)h

3. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
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.)
2/5

4. Convert 16.66% to a fraction
A=pi*(r^2)
M= (Y1-Y2)/(X1-X2)
3/5
1/6

5. Area of a triangle
A= (1/2)b*h
Sum of digits is a multiple of 3 and the last digit is even.
SA= 2( Lw + Lh + w*h)
Subtract them. i.e (5^7)/(5^3)= 5^4

6. How to recognize a # as a multiple of 4
1-sqrroot of 3-2
X = Measure of interior angle/Circumference 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.)
2/3

7. Perimeter of a rectangle
1-sqrroot of 3-2
V=Lwh
2/5
P= 2L + 2w

8. Convert 25% to a fraction
Subtract them. i.e (5^7)/(5^3)= 5^4
1/4
1/8
The sum of the digits is a multiple of 9.

9. When dividing exponential #s with the same base - you do this to the exponents...
V=(4/3)pi(r^3)
X = Measure of interior angle/Area of Circle 360
Subtract them. i.e (5^7)/(5^3)= 5^4
Sum of digits is a multiple of 3 and the last digit is even.

10. Find distance when given time and rate
D=rt so r= d/t and t=d/r
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.)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

11. How to recognize a # as a multiple of 9
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
The sum of the digits is a multiple of 9.
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

12. Volume of a sphere
V=(4/3)pi(r^3)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
X = Measure of interior angle/Circumference of circle 360
1-1-sqrroot of 2

13. Surface area of a right circular cylinder
1-1-sqrroot of 2
D=rt so r= d/t and t=d/r
X = Measure of interior angle/Area of Circle 360
2(pi(r^2))+ 2pirh

14. Side lengths of a 30-60-90 right triangle
1-sqrroot of 3-2
4/5
1/4
The sum of the digits is a multiple of 3

15. Area of a rectangle
Sum of digits is a multiple of 3 and the last digit is even.
A=l*w
1-sqrroot of 3-2
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

16. How to find the sum of consecutive #s
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=b*h
SA= 2( Lw + Lh + w*h)
Sum= (Average of Consecutive #s) * (# of terms in set)

17. 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.
Subtract them. i.e (5^7)/(5^3)= 5^4
X = Measure of interior angle/Area of Circle 360
2/3

18. When asked to find the distance between 2 points on a graph use this formula...
X = Measure of interior angle/Area of Circle 360
1/5
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
A= (1/2)b*h

19. Slope given 2 points
SA= 2( Lw + Lh + w*h)
M= (Y1-Y2)/(X1-X2)
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.

20. When solving an inequality - flip the sign when you....
1/3
Divide or multiply both sides by a NEGATIVE number
A=l*w
2(pi(r^2))+ 2pirh

21. Convert 60% to a fraction
A= (1/2)b*h
P= 2L + 2w
V=(4/3)pi(r^3)
3/5

22. Convert 20% to a fraction
A= (1/2)b*h
2/3
1/5
C=2pir OR d*pi

23. Quadratic Formula
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2/5
M= (Y1-Y2)/(X1-X2)
X = Measure of interior angle/Area of Circle 360

24. Circumference of a Circle
C=2pir OR d*pi
3/4
1-sqrroot of 3-2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

25. Surface area of a sphere
1/8
Divide or multiply both sides by a NEGATIVE number
SA= 4pi(r^3)
X = Measure of interior angle/Area of Circle 360

26. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
X = Measure of interior angle/Circumference of circle 360
The sum of the digits is a multiple of 9.
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

27. Convert 83.33% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/8
1/4
5/6

28. Find hypotenuse of a right triangle given 2 side lengths
2/3
Subtract them. i.e (5^7)/(5^3)= 5^4
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
The sum of the digits is a multiple of 3

29. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
V=(4/3)pi(r^3)
2(pi(r^2))+ 2pirh
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.)

30. Convert 12.5% to a fraction
3/4
1/8
A=pi*(r^2)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

31. How to find the average of consecutive #s
2(pi(r^2))+ 2pirh
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
SA= 4pi(r^3)

32. Convert 66.66% to a fraction
2/3
1/6
Sum= (Average of Consecutive #s) * (# of terms in set)
Pi(r^2)h

33. Volume of a rectangular box
V=Lwh
A=l*w
3/4
A=pi*(r^2)

34. When multiplying exponential #s with the same base - you do this to the exponents...
V=Lwh
Add them. i.e. (5^7) * (5^3) = 5^10
1-sqrroot of 3-2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

35. Volume of a right circular cylinder
A=b*h
1/8
1/3
Pi(r^2)h

36. Convert 33.33% to a fraction
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.)
3/5
V=Lwh

37. First 10 prime #s
A=b*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.)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

38. Area of parallelogram
SA= 2( Lw + Lh + w*h)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1-1-sqrroot of 2
A=b*h

39. Arc length
X = Measure of interior angle/Circumference of circle 360
1/6
The sum of the digits is a multiple of 9.
5/6

40. Area of a circle
1/5
SA= 2( Lw + Lh + w*h)
A=pi*(r^2)
A=b*h

41. How to recognize a # as 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.)
1/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
The sum of the digits is a multiple of 3

42. Area of a sector
X = Measure of interior angle/Area of Circle 360
The sum of the digits is a multiple of 9.
1/6
D=rt so r= d/t and t=d/r

43. Convert 80% to a fraction
1/8
4/5
V=Lwh
2/5

44. Surface area of a rectangular solid
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
C=2pir OR d*pi
SA= 2( Lw + Lh + w*h)

45. Convert 40% to a fraction
The sum of the digits is a multiple of 3
2/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1-sqrroot of 3-2