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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 16.66% 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.)
1/3
1/6
Add them. i.e. (5^7) * (5^3) = 5^10

2. Convert 75% to a fraction
P= 2L + 2w
3/4
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.)
Divide or multiply both sides by a NEGATIVE number

3. Area of a triangle
4/5
The sum of the digits is a multiple of 3
A= (1/2)b*h
X = Measure of interior angle/Area of Circle 360

4. Volume of a rectangular box
C=2pir OR d*pi
V=Lwh
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
The sum of the digits is a multiple of 3

5. Perfect Squares 1-15
2(pi(r^2))+ 2pirh
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2/5
X = Measure of interior angle/Area of Circle 360

6. How to find the average of consecutive #s
1-1-sqrroot of 2
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
V=(4/3)pi(r^3)

7. Surface area of a rectangular solid
V=Lwh
1/4
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.)
SA= 2( Lw + Lh + w*h)

8. Quadratic Formula
SA= 4pi(r^3)
The sum of the digits is a multiple of 9.
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/8

9. Convert 66.66% to a fraction
1/6
1/5
Pi(r^2)h
2/3

10. Convert 40% to a fraction
Divide or multiply both sides by a NEGATIVE number
5/6
2/5
The sum of the digits is a multiple of 9.

11. How to find the sum of consecutive #s
Sum= (Average of Consecutive #s) * (# of terms in set)
Subtract them. i.e (5^7)/(5^3)= 5^4
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A=pi*(r^2)

12. Side lengths of a 30-60-90 right triangle
D=rt so r= d/t and t=d/r
V=Lwh
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-sqrroot of 3-2

13. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
1/3
P= 2L + 2w
2/5

14. Convert 12.5% to a fraction
1/8
4/5
3/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

15. Volume of a right circular cylinder
1/5
1/4
X = Measure of interior angle/Circumference of circle 360
Pi(r^2)h

16. How to recognize a multiple of 6
1-sqrroot of 3-2
Sum of digits is a multiple of 3 and the last digit is even.
Divide or multiply both sides by a NEGATIVE number
2/5

17. Slope given 2 points
Sum of digits is a multiple of 3 and the last digit is even.
M= (Y1-Y2)/(X1-X2)
4/5
2/3

18. Convert 60% to a fraction
A= (1/2)b*h
3/5
1/5
X = Measure of interior angle/Circumference of circle 360

19. How to recognize a # as a multiple of 3
5/6
The sum of the digits is a multiple of 3
1-1-sqrroot of 2
D=rt so r= d/t and t=d/r

20. Convert 83.33% to a fraction
5/6
2/3
Pythagorean Theorem: h^2= (S1)^2 + (S2)^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.

21. Volume of a sphere
V=(4/3)pi(r^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.
A=b*h
4/5

22. Convert 80% to a fraction
1/4
Sum of digits is a multiple of 3 and the last digit is even.
A=pi*(r^2)
4/5

23. Find hypotenuse of a right triangle given 2 side lengths
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
3/4
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.)
1/6

24. Surface area of a sphere
SA= 4pi(r^3)
A=pi*(r^2)
C=2pir OR d*pi
1/5

25. Convert 33.33% to a fraction
SA= 4pi(r^3)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/6
1/3

26. Convert 25% to a fraction
A=l*w
2/3
5/6
1/4

27. When dividing exponential #s with the same base - you do this to the exponents...
A=pi*(r^2)
Subtract them. i.e (5^7)/(5^3)= 5^4
1/8
3/5

28. When solving an inequality - flip the sign when you....
3/4
Divide or multiply both sides by a NEGATIVE number
A=pi*(r^2)
The sum of the digits is a multiple of 9.

29. Area of a circle
V=(4/3)pi(r^3)
3/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A=pi*(r^2)

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

31. Area of a rectangle
1/3
A=l*w
3/5
A=pi*(r^2)

32. Arc length
2/3
X = Measure of interior angle/Circumference of circle 360
C=2pir OR d*pi
SA= 4pi(r^3)

33. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
A=pi*(r^2)
Sum of digits is a multiple of 3 and the last digit is even.
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

34. Perimeter of a rectangle
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)
1/4
P= 2L + 2w
1/3

35. 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.)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
SA= 4pi(r^3)
1/6

36. When asked to find the distance between 2 points on a graph use this formula...
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
3/4
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.)

37. Surface area of a right circular cylinder
P= 2L + 2w
2/3
1/4
2(pi(r^2))+ 2pirh

38. Area of a trapezoid
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.
V=Lwh
SA= 2( Lw + Lh + w*h)

39. Area of a sector
X = Measure of interior angle/Area of Circle 360
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.)
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 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.)

40. Circumference of a Circle
3/4
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.
C=2pir OR d*pi

41. Convert 20% to a fraction
A=b*h
Sum of digits is a multiple of 3 and the last digit is even.
5/6
1/5

42. Side lengths of a 45-45-90 right triangle
D=rt so r= d/t and t=d/r
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1-1-sqrroot of 2
The sum of the digits is a multiple of 3

43. How to recognize a # as a multiple of 4
A=b*h
V=(4/3)pi(r^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.)
P= 2L + 2w

44. First 10 prime #s
Sum= (Average of Consecutive #s) * (# of terms in set)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2/5
1-sqrroot of 3-2

45. Area of parallelogram
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
P= 2L + 2w
The sum of the digits is a multiple of 9.
A=b*h