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Test your basic knowledge |
GRE Math: Quantitative Formulas
Start Test
Study First
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. Convert 16.66% to a fraction
D=rt so r= d/t and t=d/r
1/6
SA= 4pi(r^3)
M= (Y1-Y2)/(X1-X2)
2. When asked to find the distance between 2 points on a graph use this formula...
X = Measure of interior angle/Area of Circle 360
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1-1-sqrroot of 2
3. Side lengths of a 30-60-90 right triangle
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
1/4
1-sqrroot of 3-2
1/6
4. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
Add them. i.e. (5^7) * (5^3) = 5^10
2/5
A=l*w
5. Surface area of a rectangular solid
1/8
X = Measure of interior angle/Circumference of circle 360
SA= 2( Lw + Lh + w*h)
SA= 4pi(r^3)
6. Area of parallelogram
3/5
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
A=b*h
A=l*w
7. Area of a trapezoid
3/5
Sum= (Average of Consecutive #s) * (# of terms in set)
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 9.
8. Find distance when given time and rate
1/5
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
SA= 2( Lw + Lh + w*h)
9. How to recognize a # as a multiple of 4
A=l*w
Sum= (Average of Consecutive #s) * (# of terms in set)
P= 2L + 2w
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.)
10. 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.
D=rt so r= d/t and t=d/r
1-sqrroot of 3-2
4/5
11. Slope given 2 points
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)
A=b*h
X = Measure of interior angle/Circumference of circle 360
12. How to recognize if a # is a multiple of 12
Subtract them. i.e (5^7)/(5^3)= 5^4
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.)
Add them. i.e. (5^7) * (5^3) = 5^10
4/5
13. Convert 60% to a fraction
1/5
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
3/5
4/5
14. Volume of a rectangular box
V=Lwh
C=2pir OR d*pi
4/5
5/6
15. Convert 83.33% to a fraction
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.)
5/6
P= 2L + 2w
Divide or multiply both sides by a NEGATIVE number
16. Area of a rectangle
V=Lwh
A=l*w
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
Subtract them. i.e (5^7)/(5^3)= 5^4
17. Convert 33.33% to a fraction
3/4
A=l*w
Divide or multiply both sides by a NEGATIVE number
1/3
18. Convert 12.5% to a fraction
3/4
3/5
1/8
SA= 4pi(r^3)
19. Volume of a sphere
A= (1/2)h*(a+b) where a is the length of the bottom base and b is the length of the top base.
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
V=(4/3)pi(r^3)
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
20. Circumference of a Circle
Add them. i.e. (5^7) * (5^3) = 5^10
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
C=2pir OR d*pi
2/3
21. Convert 25% to a fraction
V=(4/3)pi(r^3)
A= (1/2)b*h
A=b*h
1/4
22. Arc length
Sum of digits is a multiple of 3 and the last digit is even.
X = Measure of interior angle/Circumference of circle 360
The sum of the digits is a multiple of 3
1/4
23. When multiplying exponential #s with the same base - you do this to the exponents...
Divide or multiply both sides by a NEGATIVE number
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Add them. i.e. (5^7) * (5^3) = 5^10
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
24. Convert 66.66% to a fraction
Pi(r^2)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.
3/5
2/3
25. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
Sum of digits is a multiple of 3 and the last digit is even.
X = Measure of interior angle/Circumference of circle 360
2/5
26. Convert 75% to a fraction
3/4
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
V=Lwh
Divide or multiply both sides by a NEGATIVE number
27. Quadratic Formula
X= -b (+/-) Sqrroot [(b^2) -4ac)]/2a
SA= 2( Lw + Lh + w*h)
C=2pir OR d*pi
SA= 4pi(r^3)
28. How to find the sum of consecutive #s
1/8
Sum= (Average of Consecutive #s) * (# of terms in set)
V=(4/3)pi(r^3)
Subtract them. i.e (5^7)/(5^3)= 5^4
29. Surface area of a right circular cylinder
Sum of digits is a multiple of 3 and the last digit is even.
2(pi(r^2))+ 2pirh
1/3
SA= 4pi(r^3)
30. How to find the average of consecutive #s
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)
1/8
1/3
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.)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
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)
1/5
32. Side lengths of a 45-45-90 right triangle
A=l*w
1-1-sqrroot of 2
V=(4/3)pi(r^3)
V=Lwh
33. Area of a triangle
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.)
1/5
A= (1/2)b*h
Subtract them. i.e (5^7)/(5^3)= 5^4
34. Perimeter of a rectangle
4/5
Divide or multiply both sides by a NEGATIVE number
P= 2L + 2w
Add them. i.e. (5^7) * (5^3) = 5^10
35. Surface area of a sphere
SA= 4pi(r^3)
A= (1/2)b*h
D=rt so r= d/t and t=d/r
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
36. Area of a sector
3/5
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/3
X = Measure of interior angle/Area of Circle 360
37. Convert 40% to a fraction
1/5
Distance formula. Distance= Sqrareroot[((Xa-Xb)^2) + ((Ya-Yb)^2)]
2/5
The sum of the digits is a multiple of 9.
38. Area of a circle
Add them. i.e. (5^7) * (5^3) = 5^10
C=2pir OR d*pi
A=pi*(r^2)
Pi(r^2)h
39. Find hypotenuse of a right triangle given 2 side lengths
Pythagorean Theorem: h^2= (S1)^2 + (S2)^2
1/3
Sum of digits is a multiple of 3 and the last digit is even.
1/8
40. How to recognize a # as a multiple of 9
5/6
Pi(r^2)h
The sum of the digits is a multiple of 9.
A=b*h
41. Convert 20% to a fraction
Subtract them. i.e (5^7)/(5^3)= 5^4
2/5
1/5
V=Lwh
42. When solving an inequality - flip the sign when you....
3/4
Pi(r^2)h
Sum of digits is a multiple of 3 and the last digit is even.
Divide or multiply both sides by a NEGATIVE number
43. How to recognize a # as a multiple of 3
1/3
Sum of digits is a multiple of 3 and the last digit is even.
1/4
The sum of the digits is a multiple of 3
44. Volume of a right circular cylinder
3/4
SA= 4pi(r^3)
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)
45. First 10 prime #s
A=b*h
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
V=(4/3)pi(r^3)
The sum of the digits is a multiple of 3