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SAT Math Formulas
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Subjects
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sat
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math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
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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. Average Rate
S=180(n-2)
x1/y1 = x2/y2
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
2. Weighted Average
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
D=R*T - W=R*T
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
3. Mode
Part/whole = %/100
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
0 - -2 - -4 - ...
The most frequently occurring number in a set
4. Special Right Triangles
Order matters - nPr=n! / (n-r)!
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
Multiply number of choices available in each option to get total number of options
A=[(B1+B2)*H]/2
5. Same Time
D/W= (R1+R2)*T
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
Volume=(4/3)pir^3
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
6. Median
Volume=(4/3)pir^3
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
Middle number (or average of 2) of set from smallest to largest
7. Distance/Work Formula
(1/3)pir^2*h
(distance between opposite vertices) - square root(L^2+W^2+H^2)
D=R*T - W=R*T
Middle number (or average of 2) of set from smallest to largest
8. Weighted Averages
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
(1/3)LW*H
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
360
9. Area Trapezoid
1 - 3 - 5 - ...
A=[(B1+B2)*H]/2
A=(3root3/2)r^2
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
10. Volume of Pyramid
(1/3)LW*H
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
An=A1+(n-1)d
D/W= (R1+R2)*T
11. Fundamental Counting Principle
2 equal sides - 2 equal angles
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
Square root[(x2-x1)^2 + (y2-y1)^2]
Multiply number of choices available in each option to get total number of options
12. Percents
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
Part/whole = %/100
A=[(B1+B2)*H]/2
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
13. Adding/Subtracting Exponents
(1/3)LW*H
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
S=180(n-2)
#successful events / total# possible outcomes
14. Even Numbers
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
2 equal sides - 2 equal angles
0 - -2 - -4 - ...
15. Square
A=S^2 - P=4S - Diagonal is root2 times side
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
D/W= (R1+R2)*T
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
16. Sum of Exterior Angles
360
D/W=R1T1 + R2T2
([old-new]/old)*100%
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side
17. Volume of Sphere
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
Volume=(4/3)pir^3
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
A=L*W - P=2L+2W - Diagonals equal length
18. Arithmetic Sequence
An=A1(r)^n-1
A=1/2bh
(distance between opposite vertices) - square root(L^2+W^2+H^2)
An=A1+(n-1)d
19. Odd Numbers
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
Multiply number of choices available in each option to get total number of options
1 - 3 - 5 - ...
Middle number (or average of 2) of set from smallest to largest
20. Indirect Variation
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
x1y1 = x2y2
Middle number (or average of 2) of set from smallest to largest
Volume=(4/3)pir^3
21. Distance Formula
An=A1+(n-1)d
Square root[(x2-x1)^2 + (y2-y1)^2]
An=A1(r)^n-1
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
22. Intersection
Consists of all the elements that appear in both sets
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
Part/whole = %/100
Order doesn't matter - nCr=n! / r!(n-r)!
23. Volume of Cone
(1/3)pir^2*h
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
0 - -2 - -4 - ...
24. Same Rate
Order matters - nPr=n! / (n-r)!
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
An=A1(r)^n-1
= (x degree / 360) C
25. Extension of the Pythagorean Theorem
(distance between opposite vertices) - square root(L^2+W^2+H^2)
360
1 - 3 - 5 - ...
D=R*T - W=R*T
26. Geometric Sequences
A=L*W - P=2L+2W - Diagonals equal length
(D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given
An=A1(r)^n-1
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
27. Permutations
1 - 3 - 5 - ...
(1/3)LW*H
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side
Order matters - nPr=n! / (n-r)!
28. Combined Rates
Part/whole = %/100
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
Consists of all of the elements that appear in either set without repeating elements
D/W=R1T1 + R2T2
29. Sum of Interior Angles
S=180(n-2)
x1y1 = x2y2
Consists of all of the elements that appear in either set without repeating elements
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
30. Isosceles Triangle
2 equal sides - 2 equal angles
Consists of all the elements that appear in both sets
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
31. Exponent Rules
Consists of all of the elements that appear in either set without repeating elements
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
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=1/2bh
32. Equilateral Triangle
Order doesn't matter - nCr=n! / r!(n-r)!
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
Positive and negative whole numbers
([old-new]/old)*100%
33. Union
1 - 3 - 5 - ...
Square root[(x2-x1)^2 + (y2-y1)^2]
Consists of all of the elements that appear in either set without repeating elements
Order matters - nPr=n! / (n-r)!
34. Integer
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side
Positive and negative whole numbers
Consists of all the elements that appear in both sets
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
35. Volume of Prism
(1/3)LW*H
(area of base)*height
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
A=(3root3/2)r^2
36. Length on an Arc
An=A1(r)^n-1
= (x degree / 360) C
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
37. Cylinders
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
D/W= (R1+R2)*T
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
38. Congruent Triangles
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
S-S-S - S-A-S - A-S-A
(1/3)LW*H
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero
39. Percentage Change
Consists of all of the elements that appear in either set without repeating elements
The most frequently occurring number in a set
([old-new]/old)*100%
Volume=(4/3)pir^3
40. Rectangles
Middle number (or average of 2) of set from smallest to largest
A=L*W - P=2L+2W - Diagonals equal length
360
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
41. Same Work
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
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
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
42. Area of a Triangle
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
A=1/2bh
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
2 equal sides - 2 equal angles
43. Parallelograms
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
(1/3)LW*H
44. Even/Odd Results
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
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
Multiply number of choices available in each option to get total number of options
45. Triangle Inequality
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
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
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
Volume=(4/3)pir^3
46. Rational Number
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero
([old-new]/old)*100%
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
2 equal sides - 2 equal angles
47. Probability
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
360
#successful events / total# possible outcomes
48. Mixture Formula
360
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
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=1/2bh
49. Real Wheel Formula
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
An=A1(r)^n-1
A=[(B1+B2)*H]/2
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
50. Combinations
Order doesn't matter - nCr=n! / r!(n-r)!
Positive and negative whole numbers
The most frequently occurring number in a set
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
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