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. Triangle Inequality
Middle number (or average of 2) of set from smallest to largest
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
= (x degree / 360) pi*r^2

2. Odd Numbers
The most frequently occurring number in a set
1 - 3 - 5 - ...
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
A=S^2 - P=4S - Diagonal is root2 times side

3. Intersection
([old-new]/old)*100%
Consists of all the elements that appear in both sets
360
#successful events / total# possible outcomes

4. Rational Number
Square root[(x2-x1)^2 + (y2-y1)^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
(area of base)*height
Part/whole = %/100

5. Sum of Exterior Angles
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
360
(1/3)LW*H
Positive and negative whole numbers

6. Direct Variation
x1/y1 = x2/y2
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
S=180(n-2)
Part/whole = %/100

7. Volume of Prism
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
D/W=R1T1 + R2T2
(area of base)*height
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles

8. Parallelograms
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
Part/whole = %/100
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side
Multiply number of choices available in each option to get total number of options

9. Area Trapezoid
Part/whole = %/100
x1y1 = x2y2
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
A=[(B1+B2)*H]/2

10. Probability
S=180(n-2)
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
360
#successful events / total# possible outcomes

11. Cylinders
(1/3)LW*H
Volume=pir^2h - Surface Area=2pir^2 + 2pir*h
An=A1+(n-1)d
x1y1 = x2y2

12. Congruent Triangles
x1y1 = x2y2
S-S-S - S-A-S - A-S-A
(distance between opposite vertices) - square root(L^2+W^2+H^2)
360

13. Length on an Arc
(D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given
= (x degree / 360) C
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
Consists of all the elements that appear in both sets

14. Isosceles Triangle
A=(3root3/2)r^2
2 equal sides - 2 equal angles
D/W=R1T1 + R2T2
T(up)=D/R1 T(down)=D/R2 - Add and solve for D

15. Volume of Pyramid
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
S=180(n-2)
0 - -2 - -4 - ...
(1/3)LW*H

16. Same Work
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
(1/3)LW*H
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd

17. Fundamental Counting Principle
([old-new]/old)*100%
Multiply number of choices available in each option to get total number of options
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
Order matters - nPr=n! / (n-r)!

18. Rectangles
A=L*W - P=2L+2W - Diagonals equal length
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
(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

19. Area Hexagon
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
A=(3root3/2)r^2
The most frequently occurring number in a set
= (x degree / 360) C

20. Weighted Average
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)
Order matters - nPr=n! / (n-r)!
A=1/2bh
([old-new]/old)*100%

21. Arithmetic Sequence
D/W= (R1+R2)*T
An=A1+(n-1)d
A=[(B1+B2)*H]/2
Multiply number of choices available in each option to get total number of options

22. Integer
Positive and negative whole numbers
A=(3root3/2)r^2
A=[(B1+B2)*H]/2
Middle number (or average of 2) of set from smallest to largest

23. Exponent Rules
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
([old-new]/old)*100%
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
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

24. Square
A=S^2 - P=4S - Diagonal is root2 times side
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
Consists of all of the elements that appear in either set without repeating elements
An=A1+(n-1)d

25. Equilateral Triangle
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
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
#successful events / total# possible outcomes
Middle number (or average of 2) of set from smallest to largest

26. Weighted Averages
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
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
(avg1)(number1) + (avg2)(number2) = (avgT)(numberT)
0 - -2 - -4 - ...

27. Even Numbers
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13
0 - -2 - -4 - ...
Opposite sides congruent - opposite angles congruent - diagonals bisect each other - Area=altitude*side

28. Adding/Subtracting Exponents
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
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
(distance between opposite vertices) - square root(L^2+W^2+H^2)
AVG1(N1) + AVG2(N2) = AVGtotal(Ntotal)

29. Area of a Sector
S-S-S - S-A-S - A-S-A
= (x degree / 360) pi*r^2
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
(1/3)LW*H

30. Volume of Sphere
Volume=(4/3)pir^3
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
Middle number (or average of 2) of set from smallest to largest
360

31. Mode
The most frequently occurring number in a set
An=A1(r)^n-1
A=L*W - P=2L+2W - Diagonals equal length
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2

32. Combinations

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

33. Average Rate
S=180(n-2)
(D1+D2) / (T1+T2) or use weighted average formula subsituting D and T with whatever 2 given
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
An=A1(r)^n-1

34. Same Distance
A=S^2 - P=4S - Diagonal is root2 times side
A=L*W - P=2L+2W - Diagonals equal length
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
An=A1+(n-1)d

35. Distance/Work Formula
A number that can be represented by a fraction where both the numerator and the denominator are integers and the denominator is not zero
D/W= (R1+R2)*T
D=R*T - W=R*T
1 - 3 - 5 - ...

36. Union
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
Multiply number of choices available in each option to get total number of options
Consists of all of the elements that appear in either set without repeating elements

37. Percents
0 - -2 - -4 - ...
([old-new]/old)*100%
Part/whole = %/100
(1/3)pir^2*h

38. Real Wheel Formula
D/W= (R1+R2)*T
R=rotations - L=circumference - radii - diameters - R1L1=R2L2
A=[(B1+B2)*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

39. Same Rate
Multiply number of choices available in each option to get total number of options
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
(area of base)*height
A^2 + b^2 = c^2 - 3-4-5 - 5-12-13

40. Similar Triangles
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
A=S^2 - P=4S - Diagonal is root2 times side
0 - -2 - -4 - ...
x1y1 = x2y2

41. Median
D=R*T - W=R*T
Middle number (or average of 2) of set from smallest to largest
Part/whole = %/100
T(total)= (T1*T2)/(T1+T2) - (same as finding combined rate of two workiers working on 1 thing)

42. Special Right Triangles
Part/whole = %/100
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
A=(3root3/2)r^2
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2

43. Percentage Change
([old-new]/old)*100%
30-60-90 = 1:root3:2 - 45-45-90 = 1:1:root2
T(up)=D/R1 T(down)=D/R2 - Add and solve for D
Multiply number of choices available in each option to get total number of options

44. Extension of the Pythagorean Theorem
= (x degree / 360) pi*r^2
(distance between opposite vertices) - square root(L^2+W^2+H^2)
Order doesn't matter - nCr=n! / r!(n-r)!
S=180(n-2)

45. Mixture Formula
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
D/W= (R1+R2)*T
S-S-S - S-A-S - A-S-A
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution

46. Even/Odd Results
0 - -2 - -4 - ...
Even+/-even=even even*even=even - odd+-odd=even even*odd=even - even+odd=odd odd*odd=odd
(N1T1)/W1 = (N2T2)/W2 - N=number of workers
Square root[(x2-x1)^2 + (y2-y1)^2]

47. Area of a Triangle
2 equal sides - 2 equal angles
A=1/2bh
3 equal sides - 3 60-degree angles - split into 2 30-60-90 triangles
Positive and negative whole numbers

48. Sum of Interior Angles
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
Middle number (or average of 2) of set from smallest to largest
S=180(n-2)

49. Same Time
D/W= (R1+R2)*T
P1(N1) + P2(N2) = Pfinal(Nfinal) - P=percentage of acid - N=amount of the solution
D=R*T - W=R*T
R=rotations - L=circumference - radii - diameters - R1L1=R2L2

50. Permutations
A-A - 2 Sides in same proportion and Angle in between is the same - A1:A2=L1^2:L2^2
360
Order matters - nPr=n! / (n-r)!
R=rotations - L=circumference - radii - diameters - R1L1=R2L2