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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. Circumference of a Circle
SA= 4pi(r^3)
C=2pir OR d*pi
1/3
Pi(r^2)h

2. Convert 40% to a fraction
1/4
2/5
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)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

3. Convert 12.5% to a fraction
3/5
1/8
A= (1/2)b*h
4/5

4. Find hypotenuse of a right triangle given 2 side lengths
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
D=rt so r= d/t and t=d/r

5. Perimeter of a rectangle
1-sqrroot of 3-2
P= 2L + 2w
Subtract them. i.e (5^7)/(5^3)= 5^4
V=Lwh

6. Convert 83.33% to a fraction
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
SA= 2( Lw + Lh + w*h)
5/6
3/4

7. Surface area of a sphere
SA= 4pi(r^3)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
4/5
1-1-sqrroot of 2

8. First 10 prime #s
Sum= (Average of Consecutive #s) * (# of terms in set)
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.

9. Perfect Squares 1-15
M= (Y1-Y2)/(X1-X2)
The sum of the digits is a multiple of 9.
X = Measure of interior angle/Circumference of circle 360
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

10. Convert 25% to a fraction
V=(4/3)pi(r^3)
1/8
D=rt so r= d/t and t=d/r
1/4

11. Area of a sector
1/8
A=pi*(r^2)
X = Measure of interior angle/Area of Circle 360
1/3

12. Surface area of a rectangular solid
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/8
A=pi*(r^2)
SA= 2( Lw + Lh + w*h)

13. 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.)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
SA= 4pi(r^3)
3/5

14. Find distance when given time and rate
4/5
D=rt so r= d/t and t=d/r
1/6
The sum of the digits is a multiple of 9.

15. How to recognize a # as a multiple of 3
V=Lwh
2/3
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.)

16. How to find the sum of consecutive #s
1/3
Divide or multiply both sides by a NEGATIVE number
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Sum= (Average of Consecutive #s) * (# of terms in set)

17. Convert 66.66% to a fraction
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Pythagorean Theorem: h^2= (S1)^2 + (S2)^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.)
2/3

18. Slope given 2 points
Subtract them. i.e (5^7)/(5^3)= 5^4
X = Measure of interior angle/Circumference of circle 360
V=(4/3)pi(r^3)
M= (Y1-Y2)/(X1-X2)

19. How to find the average of consecutive #s
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)
5/6
SA= 4pi(r^3)

20. Area of parallelogram
Sum of digits is a multiple of 3 and the last digit is even.
Sum= (Average of Consecutive #s) * (# of terms in set)
A=b*h
1-1-sqrroot of 2

21. Side lengths of a 30-60-90 right triangle
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.)
3/5
1-sqrroot of 3-2
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.)

22. How to recognize a multiple of 6
The sum of the digits is a multiple of 3
Pi(r^2)h
Sum of digits is a multiple of 3 and the last digit is even.
A=l*w

23. Volume of a rectangular box
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
A= (1/2)b*h
1/8
V=Lwh

24. When multiplying exponential #s with the same base - you do this to the exponents...
Divide or multiply both sides by a NEGATIVE number
Add them. i.e. (5^7) * (5^3) = 5^10
A= (1/2)b*h
4/5

25. When dividing 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.
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)

26. Arc length
Subtract them. i.e (5^7)/(5^3)= 5^4
X = Measure of interior angle/Circumference of circle 360
3/4
A=pi*(r^2)

27. Area of a rectangle
1-1-sqrroot of 2
The sum of the digits is a multiple of 3
A=l*w
1/5

28. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 3
The sum of the digits is a multiple of 9.
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)

29. Convert 20% to a fraction
1/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
The sum of the digits is a multiple of 3
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. Area of a trapezoid
2(pi(r^2))+ 2pirh
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
5/6
Subtract them. i.e (5^7)/(5^3)= 5^4

31. Area of a triangle
A= (1/2)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.)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2/3

32. When solving an inequality - flip the sign when you....
D=rt so r= d/t and t=d/r
1-sqrroot of 3-2
Divide or multiply both sides by a NEGATIVE number
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

33. Convert 16.66% to a fraction
A=pi*(r^2)
1/6
5/6
P= 2L + 2w

34. Volume of a sphere
1/6
Pythagorean Theorem: h^2= (S1)^2 + (S2)^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)
V=(4/3)pi(r^3)

35. Convert 80% to a fraction
X = Measure of interior angle/Circumference of circle 360
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
P= 2L + 2w
4/5

36. 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.)
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=pi*(r^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.)

37. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
The sum of the digits is a multiple of 9.
The sum of the digits is a multiple of 3
1/8

38. When asked to find the distance between 2 points on a graph use this formula...
SA= 4pi(r^3)
P= 2L + 2w
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

39. How to recognize if a # is a multiple of 12
3/4
1/4
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.)

40. Quadratic Formula
1-1-sqrroot of 2
The sum of the digits is a multiple of 9.
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Sum= (Average of Consecutive #s) * (# of terms in set)

41. Surface area of a right circular cylinder
M= (Y1-Y2)/(X1-X2)
2(pi(r^2))+ 2pirh
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.)
C=2pir OR d*pi

42. Convert 33.33% to a fraction
1/3
V=(4/3)pi(r^3)
SA= 2( Lw + Lh + w*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)

43. Area of a circle
1/5
SA= 4pi(r^3)
A=pi*(r^2)
4/5

44. Convert 75% to a fraction
2/3
X = Measure of interior angle/Circumference of circle 360
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.)

45. Volume of a right circular cylinder
M= (Y1-Y2)/(X1-X2)
Pi(r^2)h
1/4
1/8

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GRE Math: Quantitative Formulas

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