Test your basic knowledge |

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. Side lengths of a 30-60-90 right triangle
The sum of the digits is a multiple of 9.
1-sqrroot of 3-2
X = Measure of interior angle/Circumference of circle 360
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

2. Volume of a rectangular box
V=Lwh
1-sqrroot of 3-2
V=(4/3)pi(r^3)
Sum of digits is a multiple of 3 and the last digit is even.

3. Area of a sector
1/3
Subtract them. i.e (5^7)/(5^3)= 5^4
X = Measure of interior angle/Area of Circle 360
V=(4/3)pi(r^3)

4. Volume of a sphere
Sum= (Average of Consecutive #s) * (# of terms in set)
Add them. i.e. (5^7) * (5^3) = 5^10
The sum of the digits is a multiple of 9.
V=(4/3)pi(r^3)

5. How to recognize if a # is a multiple of 12
Subtract them. i.e (5^7)/(5^3)= 5^4
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.)
SA= 2( Lw + Lh + w*h)

6. Perfect Squares 1-15
Sum= (Average of Consecutive #s) * (# of terms in set)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A= (1/2)b*h
Pi(r^2)h

7. Convert 75% to a fraction
SA= 2( Lw + Lh + w*h)
SA= 4pi(r^3)
1/3
3/4

8. First 10 prime #s
1/8
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.)
2/5

9. Convert 66.66% to a fraction
2/3
SA= 4pi(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.)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

10. Find hypotenuse of a right triangle given 2 side lengths
X = Measure of interior angle/Circumference of circle 360
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.)
3/4

11. Convert 80% to a fraction
SA= 4pi(r^3)
1/5
4/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.

12. Arc length
Sum of digits is a multiple of 3 and the last digit is even.
1-sqrroot of 3-2
X = Measure of interior angle/Circumference of circle 360
The sum of the digits is a multiple of 3

13. Slope given 2 points
P= 2L + 2w
M= (Y1-Y2)/(X1-X2)
4/5
Add them. i.e. (5^7) * (5^3) = 5^10

14. Perimeter of a rectangle
P= 2L + 2w
4/5
D=rt so r= d/t and t=d/r
A=b*h

15. Find distance when given time and rate
1-sqrroot of 3-2
3/4
X = Measure of interior angle/Circumference of circle 360
D=rt so r= d/t and t=d/r

16. Surface area of a right circular cylinder
A=pi*(r^2)
3/5
2(pi(r^2))+ 2pirh
A=b*h

17. When asked to find the distance between 2 points on a graph use this formula...
A= (1/2)b*h
1-1-sqrroot of 2
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
A=b*h

18. How to recognize a # as a multiple of 9
X = Measure of interior angle/Area of Circle 360
SA= 4pi(r^3)
4/5
The sum of the digits is a multiple of 9.

19. Surface area of a rectangular solid
D=rt so r= d/t and t=d/r
SA= 2( Lw + Lh + w*h)
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.

20. Circumference of a Circle
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
3/5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

21. How to find the sum of consecutive #s
Sum= (Average of Consecutive #s) * (# of terms in set)
A=pi*(r^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.
A=b*h

22. Quadratic Formula
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
A=l*w
3/4
The sum of the digits is a multiple of 9.

23. Area of a triangle
Sum of digits is a multiple of 3 and the last digit is even.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A= (1/2)b*h
V=(4/3)pi(r^3)

24. Convert 12.5% to a fraction
SA= 2( Lw + Lh + w*h)
Add them. i.e. (5^7) * (5^3) = 5^10
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/8

25. Area of a circle
4/5
A=pi*(r^2)
Subtract them. i.e (5^7)/(5^3)= 5^4
5/6

26. Area of parallelogram
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
1/6
2(pi(r^2))+ 2pirh

27. Surface area of a sphere
The sum of the digits is a multiple of 9.
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.)
SA= 4pi(r^3)

28. Convert 25% to a fraction
The sum of the digits is a multiple of 3
1/3
1/4
2(pi(r^2))+ 2pirh

29. How to recognize a # as a multiple of 3
D=rt so r= d/t and t=d/r
The sum of the digits is a multiple of 3
A= (1/2)b*h
1/8

30. Convert 60% to a fraction
3/5
Sum of digits is a multiple of 3 and the last digit is even.
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)

31. Convert 33.33% to a fraction
SA= 2( Lw + Lh + w*h)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/3
A=pi*(r^2)

32. When dividing exponential #s with the same base - you do this to the exponents...
The sum of the digits is a multiple of 3
2/5
Subtract them. i.e (5^7)/(5^3)= 5^4
V=Lwh

33. Volume of a right circular cylinder
Pi(r^2)h
Divide or multiply both sides by a NEGATIVE number
1/3
1/8

34. 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.
The sum of the digits is a multiple of 3
5/6
1-1-sqrroot of 2

35. Convert 40% to a fraction
X = Measure of interior angle/Area of Circle 360
Sum of digits is a multiple of 3 and the last digit is even.
2/5
SA= 2( Lw + Lh + w*h)

36. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
V=(4/3)pi(r^3)
P= 2L + 2w
Pi(r^2)h

37. Convert 83.33% to a fraction
5/6
Divide or multiply both sides by a NEGATIVE number
2/5
1-1-sqrroot of 2

38. Convert 20% to a fraction
X = Measure of interior angle/Area of Circle 360
1/5
3/5
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

39. Convert 16.66% to a fraction
Sum= (Average of Consecutive #s) * (# of terms in set)
Divide or multiply both sides by a NEGATIVE number
1/6
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. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
C=2pir OR d*pi
Sum of digits is a multiple of 3 and the last digit is even.
X = Measure of interior angle/Area of Circle 360

41. How to recognize a multiple of 6
Add them. i.e. (5^7) * (5^3) = 5^10
2/3
Sum of digits is a multiple of 3 and the last digit is even.
C=2pir OR d*pi

42. Area of a rectangle
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/5
A=l*w
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.)

43. When solving an inequality - flip the sign when you....
Sum= (Average of Consecutive #s) * (# of terms in set)
2/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
Divide or multiply both sides by a NEGATIVE number

44. 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)
5/6
1-1-sqrroot of 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.)

45. How to recognize a # as a multiple of 4
1-1-sqrroot of 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.)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/5