Test your basic knowledge |

SAT Math Formulas

Subjects : sat, math

Instructions:

Answer 50 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. Same Rate
An=A1(r)^n-1
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
1 - 3 - 5 - ...

2. Cylinders
Consists of all the elements that appear in both sets
The most frequently occurring number in a set
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
A=[(B1+B2)*H]/2

3. Rectangles
A=[(B1+B2)*H]/2
A=L*W - P=2L+2W - Diagonals equal length
x1y1 = x2y2
(distance between opposite vertices) - square root(L^2+W^2+H^2)

4. Adding/Subtracting Exponents
Positive and negative whole numbers
Factor out the common value - 4^a + 4^a + 4^a + 4^a - 4^a (1+1+1+1) - 4^a * 4^1 - 4^a+1
Negative number raised to even power will be positive - negative number raised to odd power will be negative - numbers with absolute values between 0 and 1 will be a smaller distance from 0 the higher the power to which they are raised
Middle number (or average of 2) of set from smallest to largest

5. Rational Number
1 - 3 - 5 - ...
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero
(N1T1)/W1 = (N2T2)/W2 - N=number of workers

6. Volume of Cone
x1y1 = x2y2
(1/3)pir^2*h
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2

7. Congruent Triangles
Positive and negative whole numbers
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
S-S-S - S-A-S - A-S-A
Multiply number of choices available in each option to get total number of options

8. Same Work
(area of base)*height
Order matters - nPr=n! / (n-r)!
Positive and negative whole numbers
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)

9. Similar Triangles
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
A=S^2 - P=4S - Diagonal is root2 times side
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2

10. Special Right Triangles
The most frequently occurring number in a set
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
Middle number (or average of 2) of set from smallest to largest
(N1T1)/W1 = (N2T2)/W2 - N=number of workers

11. Sum of Exterior Angles
Square root[(x2-x1)^2 + (y2-y1)^2]
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
A=1/2bh
360

12. Odd Numbers
Negative number raised to even power will be positive - negative number raised to odd power will be negative - numbers with absolute values between 0 and 1 will be a smaller distance from 0 the higher the power to which they are raised
1 - 3 - 5 - ...
A=S^2 - P=4S - Diagonal is root2 times side
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero

13. Arithmetic Sequence
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
= (x degree / 360) pi*r^2
An=A1+(n-1)d
Positive and negative whole numbers

14. Area of a Triangle
Part/whole = %/100
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
(distance between opposite vertices) - square root(L^2+W^2+H^2)
A=1/2bh

15. Equilateral Triangle
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
#successful events / total# possible outcomes
A=S^2 - P=4S - Diagonal is root2 times side

16. Sum of Interior Angles
(D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given
= (x degree / 360) pi*r^2
Volume=(4/3)pir^3
S=180(n-2)

17. Same Distance
2 equal sides - 2 equal angles
A=L*W - P=2L+2W - Diagonals equal length
(1/3)pir^2*h
T(up)=D/R1 T(down)=D/R2 - Add and solve for D

18. Real Wheel Formula
A=L*W - P=2L+2W - Diagonals equal length
Consists of all of the elements that appear in either set without repeating elements
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
R=rotations - L=circumference - radii - diameters - R1L1=R2L2

19. Mixture Formula
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
Negative number raised to even power will be positive - negative number raised to odd power will be negative - numbers with absolute values between 0 and 1 will be a smaller distance from 0 the higher the power to which they are raised
A=[(B1+B2)*H]/2

20. Percents
Factor out the common value - 4^a + 4^a + 4^a + 4^a - 4^a (1+1+1+1) - 4^a * 4^1 - 4^a+1
Part/whole = %/100
(distance between opposite vertices) - square root(L^2+W^2+H^2)
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13

21. Weighted Average
D/W=R1T1 + R2T2
1 - 3 - 5 - ...
x1y1 = x2y2
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)

22. Volume of Sphere
Order matters - nPr=n! / (n-r)!
Volume=(4/3)pir^3
A=S^2 - P=4S - Diagonal is root2 times side
The sum of the lengths of any two sides is greater than the length of the third side - AB + AC > BC - [AB - AC] < BC < AB + AC

23. Volume of Pyramid
An=A1+(n-1)d
(1/3)LW*H
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h

24. Average Rate
(D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
D=R*T - W=R*T

25. Probability
x1/y1 = x2/y2
#successful events / total# possible outcomes
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
A=L*W - P=2L+2W - Diagonals equal length

26. Intersection
Consists of all the elements that appear in both sets
(area of base)*height
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
D/W=R1T1 + R2T2

27. Fundamental Counting Principle
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
D/W= (R1+R2)*T
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
Multiply number of choices available in each option to get total number of options

28. Parallelograms
2 equal sides - 2 equal angles
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side
Volume=(4/3)pir^3
(1/3)LW*H

29. Percentage Change
An=A1(r)^n-1
A=[(B1+B2)*H]/2
x1y1 = x2y2
([old-new]/old)*100%

30. Volume of Prism
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
An=A1(r)^n-1
(area of base)*height
The most frequently occurring number in a set

31. Square
Part/whole = %/100
Multiply number of choices available in each option to get total number of options
A=S^2 - P=4S - Diagonal is root2 times side
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)

32. Length on an Arc
= (x degree / 360) C
Negative number raised to even power will be positive - negative number raised to odd power will be negative - numbers with absolute values between 0 and 1 will be a smaller distance from 0 the higher the power to which they are raised
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
= (x degree / 360) pi*r^2

33. Mode
D=R*T - W=R*T
The most frequently occurring number in a set
Negative number raised to even power will be positive - negative number raised to odd power will be negative - numbers with absolute values between 0 and 1 will be a smaller distance from 0 the higher the power to which they are raised
Part/whole = %/100

34. Area of a Sector
= (x degree / 360) pi*r^2
Factor out the common value - 4^a + 4^a + 4^a + 4^a - 4^a (1+1+1+1) - 4^a * 4^1 - 4^a+1
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
2 equal sides - 2 equal angles

35. Triangle Inequality
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
The sum of the lengths of any two sides is greater than the length of the third side - AB + AC > BC - [AB - AC] < BC < AB + AC
2 equal sides - 2 equal angles

36. Distance Formula
Factor out the common value - 4^a + 4^a + 4^a + 4^a - 4^a (1+1+1+1) - 4^a * 4^1 - 4^a+1
Square root[(x2-x1)^2 + (y2-y1)^2]
(area of base)*height
Volume=(4/3)pir^3

37. Combinations

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

38. Right Triangle
([old-new]/old)*100%
Order matters - nPr=n! / (n-r)!
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
The sum of the lengths of any two sides is greater than the length of the third side - AB + AC > BC - [AB - AC] < BC < AB + AC

39. Geometric Sequences
(area of base)*height
D=R*T - W=R*T
Middle number (or average of 2) of set from smallest to largest
An=A1(r)^n-1

40. Area Trapezoid
Square root[(x2-x1)^2 + (y2-y1)^2]
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
= (x degree / 360) C
A=[(B1+B2)*H]/2

41. Union
360
(1/3)LW*H
Consists of all of the elements that appear in either set without repeating elements
Part/whole = %/100

42. Isosceles Triangle
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
A=L*W - P=2L+2W - Diagonals equal length
2 equal sides - 2 equal angles
Volume=(4/3)pir^3

43. Direct Variation
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
x1/y1 = x2/y2
#successful events / total# possible outcomes

44. Indirect Variation
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
x1y1 = x2y2
D=R*T - W=R*T
Consists of all of the elements that appear in either set without repeating elements

45. Even/Odd Results
The most frequently occurring number in a set
2 equal sides - 2 equal angles
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd

46. Same Time
D/W= (R1+R2)*T
#successful events / total# possible outcomes
The sum of the lengths of any two sides is greater than the length of the third side - AB + AC > BC - [AB - AC] < BC < AB + AC
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)

47. Even Numbers
0 - -2 - -4 - ...
Consists of all of the elements that appear in either set without repeating elements
x1y1 = x2y2
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2

48. Median
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
(distance between opposite vertices) - square root(L^2+W^2+H^2)
Middle number (or average of 2) of set from smallest to largest
A=1/2bh

49. Permutations
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
S-S-S - S-A-S - A-S-A
Multiply number of choices available in each option to get total number of options
Order matters - nPr=n! / (n-r)!

50. Weighted Averages
= (x degree / 360) pi*r^2
Consists of all of the elements that appear in either set without repeating elements
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
Positive and negative whole numbers