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. Percentage Change
([old-new]/old)*100%
Positive and negative whole numbers
Consists of all of the elements that appear in either set without repeating elements
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)

2. Congruent Triangles
2 equal sides - 2 equal angles
S-S-S - S-A-S - A-S-A
An=A1(r)^n-1
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)

3. Triangle Inequality
Multiply number of choices available in each option to get total number of options
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
0 - -2 - -4 - ...
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

4. Rational Number
A=[(B1+B2)*H]/2
Order matters - nPr=n! / (n-r)!
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 number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero

5. Combined Rates
(distance between opposite vertices) - square root(L^2+W^2+H^2)
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
D/W=R1T1 + R2T2
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)

6. Permutations
Consists of all of the elements that appear in either set without repeating elements
Order matters - nPr=n! / (n-r)!
(1/3)pir^2*h
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2

7. Median
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero
Middle number (or average of 2) of set from smallest to largest
Consists of all the elements that appear in both sets
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side

8. Length on an Arc
Order matters - nPr=n! / (n-r)!
= (x degree / 360) C
360
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution

9. Cylinders
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
A=S^2 - P=4S - Diagonal is root2 times side
D/W=R1T1 + R2T2
An=A1+(n-1)d

10. Mixture Formula
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
The most frequently occurring number in a set
1 - 3 - 5 - ...
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution

11. Average Rate
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
(D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given
(distance between opposite vertices) - square root(L^2+W^2+H^2)
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

12. Parallelograms
([old-new]/old)*100%
(D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given
A=(3root3/2)r^2
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side

13. Volume of Sphere
An=A1+(n-1)d
Volume=(4/3)pir^3
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13

14. Same Rate
Order matters - nPr=n! / (n-r)!
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
360
(N1T1)/W1 = (N2T2)/W2 - N=number of workers

15. Area of a Triangle
D=R*T - W=R*T
(1/3)LW*H
A=1/2bh
An=A1+(n-1)d

16. Intersection
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
Consists of all the elements that appear in both sets
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side
Consists of all of the elements that appear in either set without repeating elements

17. Weighted Average
Multiply number of choices available in each option to get total number of options
(D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
x1y1 = x2y2

18. Square
Consists of all the elements that appear in both sets
A=S^2 - P=4S - Diagonal is root2 times side
([old-new]/old)*100%
T(up)=D/R1 T(down)=D/R2 - Add and solve for D

19. Same Work
Square root[(x2-x1)^2 + (y2-y1)^2]
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
= (x degree / 360) pi*r^2
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles

20. Fundamental Counting Principle
A=L*W - P=2L+2W - Diagonals equal length
Multiply number of choices available in each option to get total number of options
S-S-S - S-A-S - A-S-A
S=180(n-2)

21. Same Time
(distance between opposite vertices) - square root(L^2+W^2+H^2)
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero
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
D/W= (R1+R2)*T

22. Exponent Rules
Order doesn't matter - nCr=n! / r!(n-r)!
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
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

23. Indirect Variation
0 - -2 - -4 - ...
(area of base)*height
x1y1 = x2y2
The most frequently occurring number in a set

24. Combinations
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
Order doesn't matter - nCr=n! / r!(n-r)!

25. Distance Formula
Square root[(x2-x1)^2 + (y2-y1)^2]
An=A1+(n-1)d
Part/whole = %/100
(1/3)pir^2*h

26. Volume of Pyramid
(area of base)*height
(1/3)LW*H
Order matters - nPr=n! / (n-r)!
= (x degree / 360) pi*r^2

27. Similar Triangles
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
(1/3)LW*H
D=R*T - W=R*T
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution

28. Same Distance
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
Square root[(x2-x1)^2 + (y2-y1)^2]
2 equal sides - 2 equal angles
D/W= (R1+R2)*T

29. Area of a Sector
= (x degree / 360) pi*r^2
1 - 3 - 5 - ...
D/W=R1T1 + R2T2
D/W= (R1+R2)*T

30. Extension of the Pythagorean Theorem
x1/y1 = x2/y2
Consists of all the elements that appear in both sets
Positive and negative whole numbers
(distance between opposite vertices) - square root(L^2+W^2+H^2)

31. Adding/Subtracting Exponents
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
Consists of all the elements that appear in both sets
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
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

32. Arithmetic Sequence
A=(3root3/2)r^2
An=A1+(n-1)d
([old-new]/old)*100%
D/W= (R1+R2)*T

33. Mode
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
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero
S-S-S - S-A-S - A-S-A

34. Volume of Prism
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
(area of base)*height
x1y1 = x2y2
S-S-S - S-A-S - A-S-A

35. Rectangles
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
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
A=L*W - P=2L+2W - Diagonals equal length
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)

36. Equilateral Triangle
2 equal sides - 2 equal angles
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
A=1/2bh
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h

37. Special Right Triangles
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
([old-new]/old)*100%
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2

38. Volume of Cone
An=A1+(n-1)d
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero
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
(1/3)pir^2*h

39. Weighted Averages
(distance between opposite vertices) - square root(L^2+W^2+H^2)
D/W= (R1+R2)*T
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
The most frequently occurring number in a set

40. Distance/Work Formula
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
Part/whole = %/100
D=R*T - W=R*T
= (x degree / 360) pi*r^2

41. Geometric Sequences
S=180(n-2)
An=A1(r)^n-1
x1y1 = x2y2
A=L*W - P=2L+2W - Diagonals equal length

42. Sum of Exterior Angles
360
1 - 3 - 5 - ...
D/W=R1T1 + R2T2
Square root[(x2-x1)^2 + (y2-y1)^2]

43. Probability
Positive and negative whole numbers
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
x1y1 = x2y2
#successful events / total# possible outcomes

44. Odd Numbers
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
1 - 3 - 5 - ...
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
2 equal sides - 2 equal angles

45. Isosceles Triangle
2 equal sides - 2 equal angles
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
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
x1/y1 = x2/y2

46. Percents
D=R*T - W=R*T
Part/whole = %/100
Consists of all of the elements that appear in either set without repeating elements
A=[(B1+B2)*H]/2

47. Area Trapezoid
= (x degree / 360) C
A=[(B1+B2)*H]/2
Consists of all of the elements that appear in either set without repeating elements
A=1/2bh

48. Sum of Interior Angles
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
S=180(n-2)
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
Order doesn't matter - nCr=n! / r!(n-r)!

49. Even/Odd Results
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
D/W= (R1+R2)*T
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
A=L*W - P=2L+2W - Diagonals equal length

50. Union
Consists of all of the elements that appear in either set without repeating elements
A=1/2bh
2 equal sides - 2 equal angles
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side

Test your basic knowledge |

SAT Math Formulas

Communication skills, Self help skills, Self improvement skills, Productivity skills, Writing skills, Business skills, Thinking skills & More...

502 Pages | Only $12 | PDF / EPub, Kindle Ready

Link to This Test

Related Subjects