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. 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
Add them. i.e. (5^7) * (5^3) = 5^10
A=l*w

2. Area of a triangle
1/5
Divide or multiply both sides by a NEGATIVE number
A= (1/2)b*h
4/5

3. Convert 40% to a fraction
2/5
D=rt so r= d/t and t=d/r
V=Lwh
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.)

4. Find hypotenuse of a right triangle given 2 side lengths
2/3
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)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

5. Area of a sector
X = Measure of interior angle/Area of Circle 360
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
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)

6. Area of a circle
1/4
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=pi*(r^2)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

7. 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.)
The sum of the digits is a multiple of 9.
1/6
Add them. i.e. (5^7) * (5^3) = 5^10

8. Surface area of a sphere
Subtract them. i.e (5^7)/(5^3)= 5^4
V=Lwh
A=l*w
SA= 4pi(r^3)

9. Side lengths of a 30-60-90 right triangle
3/4
1-sqrroot of 3-2
1-1-sqrroot of 2
3/5

10. 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)]
Add them. i.e. (5^7) * (5^3) = 5^10
2(pi(r^2))+ 2pirh
A=pi*(r^2)

11. Quadratic Formula
1/3
M= (Y1-Y2)/(X1-X2)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
V=Lwh

12. How to recognize a multiple of 6
X = Measure of interior angle/Circumference of circle 360
Sum of digits is a multiple of 3 and the last digit is even.
A=pi*(r^2)
3/5

13. Convert 83.33% to a fraction
P= 2L + 2w
3/4
4/5
5/6

14. Volume of a right circular cylinder
Pi(r^2)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)
1/3
P= 2L + 2w

15. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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.)
Subtract them. i.e (5^7)/(5^3)= 5^4
SA= 2( Lw + Lh + w*h)

16. Find distance when given time and rate
1-sqrroot of 3-2
1/4
D=rt so r= d/t and t=d/r
5/6

17. Perimeter of a rectangle
Sum= (Average of Consecutive #s) * (# of terms in set)
P= 2L + 2w
A= (1/2)b*h
Divide or multiply both sides by a NEGATIVE number

18. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
1/6
3/5
5/6

19. Convert 25% to a fraction
The sum of the digits is a multiple of 9.
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/4
M= (Y1-Y2)/(X1-X2)

20. Convert 33.33% to a fraction
Add them. i.e. (5^7) * (5^3) = 5^10
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)
1/3
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.)

21. Area of a rectangle
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=l*w
SA= 2( Lw + Lh + w*h)
1/6

22. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
3/4
Divide or multiply both sides by a NEGATIVE number

23. Side lengths of a 45-45-90 right triangle
1-1-sqrroot of 2
Sum= (Average of Consecutive #s) * (# of terms in set)
1/3
5/6

24. Arc length
X = Measure of interior angle/Circumference of circle 360
3/5
D=rt so r= d/t and t=d/r
1/8

25. How to recognize a # as a multiple of 9
5/6
Divide or multiply both sides by a NEGATIVE number
The sum of the digits is a multiple of 9.
P= 2L + 2w

26. Convert 75% to a fraction
D=rt so r= d/t and t=d/r
V=Lwh
M= (Y1-Y2)/(X1-X2)
3/4

27. Circumference of a Circle
1/8
C=2pir OR d*pi
X = Measure of interior angle/Circumference of circle 360
3/5

28. Convert 20% to a fraction
X = Measure of interior angle/Area of Circle 360
1/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
The sum of the digits is a multiple of 3

29. 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.
3/4
SA= 4pi(r^3)
C=2pir OR d*pi

30. Surface area of a right circular cylinder
2(pi(r^2))+ 2pirh
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
4/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

31. Perfect Squares 1-15
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)
The sum of the digits is a multiple of 3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

32. Volume of a rectangular box
4/5
SA= 2( Lw + Lh + w*h)
V=Lwh
A=b*h

33. Convert 60% to a fraction
1-sqrroot of 3-2
D=rt so r= d/t and t=d/r
3/5
A= (1/2)b*h

34. Convert 66.66% to a fraction
2/3
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.)
V=(4/3)pi(r^3)

35. How to recognize if a # is a multiple of 12
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A=l*w
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.)
1/3

36. When multiplying exponential #s with the same base - you do this to the exponents...
A=pi*(r^2)
3/4
Add them. i.e. (5^7) * (5^3) = 5^10
1/8

37. When solving an inequality - flip the sign when you....
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Add them. i.e. (5^7) * (5^3) = 5^10
Divide or multiply both sides by a NEGATIVE number
SA= 4pi(r^3)

38. How to find the sum of consecutive #s
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
2/5
Sum= (Average of Consecutive #s) * (# of terms in set)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

39. How to recognize a # as a multiple of 4
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.)
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.)

40. Volume of a sphere
V=(4/3)pi(r^3)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Subtract them. i.e (5^7)/(5^3)= 5^4

41. Convert 80% to a fraction
The sum of the digits is a multiple of 3
2/5
4/5
1/4

42. Area of parallelogram
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
Divide or multiply both sides by a NEGATIVE number
A=b*h
Sum= (Average of Consecutive #s) * (# of terms in set)

43. How to recognize a # as a multiple of 3
A=b*h
1-sqrroot of 3-2
The sum of the digits is a multiple of 3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

44. Convert 12.5% to a fraction
Add them. i.e. (5^7) * (5^3) = 5^10
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
X = Measure of interior angle/Circumference of circle 360
1/8

45. Surface area of a rectangular solid
1/3
1/4
SA= 2( Lw + Lh + w*h)
Sum of digits is a multiple of 3 and the last digit is even.