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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. First 10 prime #s
Pi(r^2)h
1/3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
3/5

2. Area of a trapezoid
X = Measure of interior angle/Circumference of circle 360
3/4
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^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.

3. Convert 16.66% to a fraction
Subtract them. i.e (5^7)/(5^3)= 5^4
A=l*w
2/5
1/6

4. How to find the sum of consecutive #s
2/3
2/5
1-1-sqrroot of 2
Sum= (Average of Consecutive #s) * (# of terms in set)

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

6. Convert 83.33% to a fraction
5/6
2/5
1-sqrroot of 3-2
1/8

7. When dividing exponential #s with the same base - you do this to the exponents...
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
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)

8. Surface area of a sphere
A=pi*(r^2)
X = Measure of interior angle/Circumference of circle 360
SA= 4pi(r^3)
A= (1/2)b*h

9. Area of parallelogram
3/5
A=b*h
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/5

10. How to recognize a # as a multiple of 4
V=(4/3)pi(r^3)
1/3
Pythagorean Theorem: h^2= (S1)^2 + (S2)^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.)

11. Convert 12.5% to a fraction
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/8
2/5
V=(4/3)pi(r^3)

12. Surface area of a right circular cylinder
4/5
1/6
2(pi(r^2))+ 2pirh
Sum of digits is a multiple of 3 and the last digit is even.

13. Convert 60% to a fraction
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
3/5
Subtract them. i.e (5^7)/(5^3)= 5^4
Divide or multiply both sides by a NEGATIVE number

14. When multiplying exponential #s with the same base - you do this to the exponents...
X = Measure of interior angle/Circumference of circle 360
M= (Y1-Y2)/(X1-X2)
Add them. i.e. (5^7) * (5^3) = 5^10
2/5

15. Convert 66.66% to a fraction
A=pi*(r^2)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
2/3
X = Measure of interior angle/Circumference of circle 360

16. Slope given 2 points
1/8
M= (Y1-Y2)/(X1-X2)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
A=pi*(r^2)

17. When asked to find the distance between 2 points on a graph use this formula...
Add them. i.e. (5^7) * (5^3) = 5^10
1/8
X = Measure of interior angle/Circumference of circle 360
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]

18. Convert 40% to a fraction
Add them. i.e. (5^7) * (5^3) = 5^10
2/5
1/8
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

19. When solving an inequality - flip the sign when you....
M= (Y1-Y2)/(X1-X2)
A= (1/2)b*h
Divide or multiply both sides by a NEGATIVE number
4/5

20. Perimeter of a rectangle
V=(4/3)pi(r^3)
P= 2L + 2w
5/6
1/4

21. Volume of a sphere
2/5
A=b*h
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.

22. How to recognize a # as a multiple of 3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3/4
A= (1/2)b*h
The sum of the digits is a multiple of 3

23. Area of a triangle
Add them. i.e. (5^7) * (5^3) = 5^10
V=(4/3)pi(r^3)
1/6
A= (1/2)b*h

24. Find distance when given time and rate
V=Lwh
D=rt so r= d/t and t=d/r
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 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.)

25. How to recognize if a # 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.)
Divide or multiply both sides by a NEGATIVE number
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.)
1-1-sqrroot of 2

26. Convert 20% to a fraction
A=pi*(r^2)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
M= (Y1-Y2)/(X1-X2)
1/5

27. Side lengths of a 30-60-90 right triangle
1-sqrroot of 3-2
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)
2/3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

28. Find hypotenuse of a right triangle given 2 side lengths
The sum of the digits is a multiple of 3
4/5
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

29. Surface area of a rectangular solid
1/4
1/3
SA= 2( Lw + Lh + w*h)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

30. How to recognize a multiple of 6
1/4
2/5
P= 2L + 2w
Sum of digits is a multiple of 3 and the last digit is even.

31. Convert 80% to a fraction
1/4
X = Measure of interior angle/Area of Circle 360
4/5
2(pi(r^2))+ 2pirh

32. Convert 75% to a fraction
3/4
2/5
1/5
1/8

33. Quadratic Formula
V=(4/3)pi(r^3)
2/3
1-1-sqrroot of 2
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

34. Arc length
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.)
X = Measure of interior angle/Circumference of circle 360
SA= 4pi(r^3)

35. 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)
Sum of digits is a multiple of 3 and the last digit is even.
V=(4/3)pi(r^3)
The sum of the digits is a multiple of 9.

36. Volume of a right circular cylinder
V=(4/3)pi(r^3)
Pi(r^2)h
A=pi*(r^2)
A=l*w

37. Area of a sector
2(pi(r^2))+ 2pirh
Divide or multiply both sides by a NEGATIVE number
X = Measure of interior angle/Area of Circle 360
1/8

38. Convert 33.33% to a fraction
1/3
Sum of digits is a multiple of 3 and the last digit is even.
5/6
C=2pir OR d*pi

39. How to recognize a # as a multiple of 9
1/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
SA= 2( Lw + Lh + w*h)
The sum of the digits is a multiple of 9.

40. Side lengths of a 45-45-90 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.)
1-1-sqrroot of 2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2(pi(r^2))+ 2pirh

41. Area of a circle
A=pi*(r^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)
Subtract them. i.e (5^7)/(5^3)= 5^4
1-1-sqrroot of 2

42. Volume of a rectangular box
The sum of the digits is a multiple of 3
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
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)

43. Convert 25% 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
D=rt so r= d/t and t=d/r
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

44. Perfect Squares 1-15
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
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.)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

45. Area of a rectangle
A=l*w
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
A=pi*(r^2)