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. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
1/3
V=(4/3)pi(r^3)
5/6

2. How to recognize a # as a multiple of 3
The sum of the digits is a multiple of 3
2(pi(r^2))+ 2pirh
M= (Y1-Y2)/(X1-X2)
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)

3. Surface area of a right circular cylinder
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.)
5/6
P= 2L + 2w
2(pi(r^2))+ 2pirh

4. When asked to find the distance between 2 points on a graph use this formula...
A=b*h
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
C=2pir OR d*pi
Subtract them. i.e (5^7)/(5^3)= 5^4

5. Area of a rectangle
1/4
Divide or multiply both sides by a NEGATIVE number
A=l*w
V=(4/3)pi(r^3)

6. Area of a sector
A= (1/2)b*h
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
SA= 2( Lw + Lh + w*h)
X = Measure of interior angle/Area of Circle 360

7. Convert 60% to a fraction
X = Measure of interior angle/Circumference of circle 360
3/5
4/5
Divide or multiply both sides by a NEGATIVE number

8. Surface area of a sphere
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
SA= 4pi(r^3)

9. Area of parallelogram
A=pi*(r^2)
1/8
5/6
A=b*h

10. Convert 40% to a fraction
1-sqrroot of 3-2
2/5
1-1-sqrroot of 2
X = Measure of interior angle/Area of Circle 360

11. Circumference of a Circle
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)
C=2pir OR d*pi
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3/4

12. Convert 83.33% 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.)
Sum= (Average of Consecutive #s) * (# of terms in set)
1-1-sqrroot of 2
5/6

13. Convert 75% to a fraction
2/5
1/6
Subtract them. i.e (5^7)/(5^3)= 5^4
3/4

14. Convert 33.33% to a fraction
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
X = Measure of interior angle/Area of Circle 360
1/3
A=b*h

15. How to recognize a # as a multiple of 9
1-sqrroot of 3-2
The sum of the digits is a multiple of 9.
1/3
X = Measure of interior angle/Area of Circle 360

16. 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)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
P= 2L + 2w
1/8

17. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
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.)
Divide or multiply both sides by a NEGATIVE number

18. Surface area of a rectangular solid
Add them. i.e. (5^7) * (5^3) = 5^10
2/3
SA= 2( Lw + Lh + w*h)
C=2pir OR d*pi

19. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
X = Measure of interior angle/Area of Circle 360
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Subtract them. i.e (5^7)/(5^3)= 5^4

20. When dividing exponential #s with the same base - you do this to the exponents...
5/6
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Subtract them. i.e (5^7)/(5^3)= 5^4
P= 2L + 2w

21. Volume of a rectangular box
V=Lwh
3/5
1/6
M= (Y1-Y2)/(X1-X2)

22. Find hypotenuse of a right triangle given 2 side lengths
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
X = Measure of interior angle/Circumference of circle 360
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/3

23. 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.
V=(4/3)pi(r^3)
5/6
1-sqrroot of 3-2

24. First 10 prime #s
1/5
SA= 4pi(r^3)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Sum of digits is a multiple of 3 and the last digit is even.

25. Side lengths of a 30-60-90 right triangle
1-sqrroot of 3-2
The sum of the digits is a multiple of 9.
X = Measure of interior angle/Circumference of circle 360
Sum= (Average of Consecutive #s) * (# of terms in set)

26. Volume of a right circular cylinder
P= 2L + 2w
V=Lwh
Pi(r^2)h
1/6

27. Area of a circle
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.
A=pi*(r^2)
Pi(r^2)h

28. Perimeter of a rectangle
P= 2L + 2w
Add them. i.e. (5^7) * (5^3) = 5^10
M= (Y1-Y2)/(X1-X2)
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2

29. When solving an inequality - flip the sign when you....
Divide or multiply both sides by a NEGATIVE number
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.)
SA= 2( Lw + Lh + w*h)

30. Arc length
The sum of the digits is a multiple of 9.
3/5
SA= 4pi(r^3)
X = Measure of interior angle/Circumference of circle 360

31. How to recognize if a # is a multiple of 12
A= (1/2)b*h
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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.)

32. Area of a triangle
1/8
A= (1/2)b*h
V=(4/3)pi(r^3)
V=Lwh

33. How to find the sum of consecutive #s
The sum of the digits is a multiple of 3
Sum= (Average of Consecutive #s) * (# of terms in set)
5/6
A= (1/2)b*h

34. Quadratic Formula
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
X = Measure of interior angle/Area of Circle 360
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.)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a

35. Convert 25% to a fraction
1/6
A=pi*(r^2)
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1/4

36. Perfect Squares 1-15
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)
1/8
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3/5

37. Convert 80% to a fraction
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
4/5
1/5
5/6

38. Find distance when given time and rate
D=rt so r= d/t and t=d/r
1/3
The sum of the digits is a multiple of 3
A=b*h

39. Volume of a sphere
V=(4/3)pi(r^3)
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.
P= 2L + 2w

40. How to recognize a # as a multiple of 4
C=2pir OR d*pi
Subtract them. i.e (5^7)/(5^3)= 5^4
1/8
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.)

41. Side lengths of a 45-45-90 right triangle
5/6
1-1-sqrroot of 2
1/6
D=rt so r= d/t and t=d/r

42. Convert 20% to a fraction
Add them. i.e. (5^7) * (5^3) = 5^10
Sum of digits is a multiple of 3 and the last digit is even.
1/5
2/5

43. Convert 66.66% to a fraction
2/3
Divide or multiply both sides by a NEGATIVE number
Sum of digits is a multiple of 3 and the last digit is even.
D=rt so r= d/t and t=d/r

44. Convert 12.5% to a fraction
SA= 2( Lw + Lh + w*h)
D=rt so r= d/t and t=d/r
1/8
A=b*h

45. Convert 16.66% to a fraction
A=b*h
3/4
V=Lwh
1/6