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SAT Math: Geometry Formulas

Instructions:

Answer 35 questions in 15 minutes.
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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. Area of a trapezoid given bases 2 and 3 - height 5
180(n-2)
5(2+3)/2= 15
5-12-13
root3(root3)= 3

2. Area of a square with a diagonal of 3
7-24-25
3^2/2= 9/2
4(1+2)/2= 6
(3*6)/2= 9

3. Volume of a cylinder and prism
2^2(root3)/4= root3
2^2/2= 2
4(pi)r^2
b*h

4. Area of a square with a diagonal of 2
9-40-41
2^2/2= 2
5-12-13
180(n-2)

5. Area of a rhombus - given diagonals d
(d1*d2)/2
4/3(pi)r^3
1/3*bh
x^2/2

6. Area of a trapezoid - given bases b - height h
s(root3)/2
180(100-2)= 17640
9-40-41
h(b1+b2)/2

7. Area of an equilateral triangle with side s
s^2(root3)/4
(1*2)/2= 1
x^2/2
4(1+2)/2= 6

8. Height of equilateral triangle with side s
4/3(pi)r^3
2^2(root3)/4= root3
s(root3)/2
h(b1+b2)/2

9. Area of an equilateral triangle with side 2
2^2(root3)/4= root3
(3*6)/2= 9
4(pi)2^2= 16(pi)
5-12-13

10. Pythagorean triple beginning with 7
3(root3)
(3*6)/2= 9
7-24-25
5-12-13

11. Diagonal of a cube with side root3
root3(root3)= 3
4/3(pi)r^3
2^2(root3)/4= root3
1^2/2= 1/2

12. Volume of a sphere given radius 3
4(pi)3^2= 36(pi)
s(root3)
(4/3)(pi)3^3= 36(pi)
1/3*bh

13. Volume of a cone and pyramid
5-12-13
(d1*d2)/2
4^2/2= 8
1/3*bh

14. Area of a trapezoid - given bases - 1 and 2 - height 4
4/3(pi)r^3
3(root3)
4(1+2)/2= 6
s(root3)/2

15. Pythagorean triple beginning with 9
9-40-41
1^2/2= 1/2
4/3(pi)r^3
(d1*d2)/2

16. Pythagorean triple beginning with 5
4(1+2)/2= 6
180(100-2)= 17640
(1*2)/2= 1
5-12-13

17. Parallelogram with equal sides
4(pi)r^2
rhombus
4(1+2)/2= 6
x^2/2

18. Pythagorean triple beginning with 20
(4/3)(pi)3^3= 36(pi)
20-21-29
180(n-2)
1/3*bh

19. Pythagorean triple beginning with 12
5-12-13
s(root3)/2
s^2(root3)/4
12-35-37

20. Volume of a sphere
7-24-25
4/3(pi)r^3
180(n-2)
4(pi)3^2= 36(pi)

21. Area of a square with a diagonal of x:
x^2/2
b*h
root3(root3)= 3
h(b1+b2)/2

22. Diagonal of a cube with side 3
7-24-25
4/3(pi)r^3
2^2(root3)/4= root3
3(root3)

23. Area of a rhombus - given diagonals - 3 and 6
rhombus
2^2(root3)/4= root3
1^2/2= 1/2
(3*6)/2= 9

24. Area of a rhombus - given diagonals - 1 and 2
(1*2)/2= 1
3^2/2= 9/2
1^2/2= 1/2
5-12-13

25. Formula for the surface area of a sphere
(1*2)/2= 1
4(pi)r^2
180(100-2)= 17640
1^2/2= 1/2

26. Pythagorean triple beginning with 8
20-21-29
s^2(root3)/4
4/3(pi)r^3
8-15-17

27. Surface area of a sphere with radius 3
4(pi)3^2= 36(pi)
(1*2)/2= 1
x^2/2
180(200-2)= 35640

28. Surface area of a sphere with radius 2
(4/3)(pi)3^3= 36(pi)
1^2/2= 1/2
s(root3)/2
4(pi)2^2= 16(pi)

29. Area of a square with a diagonal of 4
root3(root3)= 3
4^2/2= 8
12-35-37
180(200-2)= 35640

30. Total degrees in 100 sided polygon
3^2(root3)/4= 9(root3)/4
4(1+2)/2= 6
180(100-2)= 17640
4/3(pi)r^3

31. Diagonal of a cube with side s
s(root3)
5(2+3)/2= 15
9-40-41
5-12-13

32. Total degrees in 200 sided polygon
180(100-2)= 17640
(d1*d2)/2
180(200-2)= 35640
12-35-37

33. Area of a square with a diagonal of 1
(d1*d2)/2
(3*6)/2= 9
1^2/2= 1/2
root3(root3)= 3

34. Total degrees in n-sided polygon
(1*2)/2= 1
(d1*d2)/2
180(n-2)
s^2(root3)/4

35. Area of an equilateral triangle with side 3
5-12-13
3^2(root3)/4= 9(root3)/4
3^2/2= 9/2
2^2/2= 2