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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 b - height h
h(b1+b2)/2
180(100-2)= 17640
3(root3)
4(pi)3^2= 36(pi)

2. Volume of a sphere given radius 3
2^2/2= 2
h(b1+b2)/2
b*h
(4/3)(pi)3^3= 36(pi)

3. Area of a square with a diagonal of 4
2^2/2= 2
4^2/2= 8
5-12-13
3^2(root3)/4= 9(root3)/4

4. Area of a square with a diagonal of 2
9-40-41
2^2/2= 2
(d1*d2)/2
3^2(root3)/4= 9(root3)/4

5. Total degrees in 100 sided polygon
180(100-2)= 17640
4/3(pi)r^3
180(n-2)
2^2(root3)/4= root3

6. Pythagorean triple beginning with 9
180(200-2)= 35640
9-40-41
(d1*d2)/2
s(root3)

7. Height of equilateral triangle with side s
(1*2)/2= 1
s(root3)/2
9-40-41
1^2/2= 1/2

8. Diagonal of a cube with side 3
2^2(root3)/4= root3
3(root3)
3^2(root3)/4= 9(root3)/4
x^2/2

9. Area of a trapezoid given bases 2 and 3 - height 5
12-35-37
1/3*bh
s(root3)
5(2+3)/2= 15

10. Area of a rhombus - given diagonals - 1 and 2
1^2/2= 1/2
5(2+3)/2= 15
3^2(root3)/4= 9(root3)/4
(1*2)/2= 1

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

12. Volume of a sphere
20-21-29
(4/3)(pi)3^3= 36(pi)
12-35-37
4/3(pi)r^3

13. Area of an equilateral triangle with side 3
3^2(root3)/4= 9(root3)/4
rhombus
b*h
root3(root3)= 3

14. Area of a rhombus - given diagonals - 3 and 6
(3*6)/2= 9
2^2(root3)/4= root3
(1*2)/2= 1
9-40-41

15. Area of a rhombus - given diagonals d
(d1*d2)/2
s(root3)/2
4(1+2)/2= 6
4/3(pi)r^3

16. Total degrees in n-sided polygon
rhombus
s(root3)/2
180(n-2)
h(b1+b2)/2

17. Pythagorean triple beginning with 7
7-24-25
4(pi)2^2= 16(pi)
(4/3)(pi)3^3= 36(pi)
4^2/2= 8

18. Area of a square with a diagonal of 1
5-12-13
180(n-2)
1^2/2= 1/2
20-21-29

19. Pythagorean triple beginning with 12
(3*6)/2= 9
12-35-37
4(pi)2^2= 16(pi)
1^2/2= 1/2

20. Area of an equilateral triangle with side 2
rhombus
2^2(root3)/4= root3
12-35-37
s(root3)/2

21. Diagonal of a cube with side s
s(root3)/2
s(root3)
rhombus
2^2/2= 2

22. Volume of a cylinder and prism
b*h
(3*6)/2= 9
4/3(pi)r^3
h(b1+b2)/2

23. Pythagorean triple beginning with 20
180(100-2)= 17640
s^2(root3)/4
20-21-29
7-24-25

24. Total degrees in 200 sided polygon
180(200-2)= 35640
4(1+2)/2= 6
20-21-29
s(root3)

25. Area of an equilateral triangle with side s
s^2(root3)/4
b*h
s(root3)/2
4(pi)2^2= 16(pi)

26. Pythagorean triple beginning with 5
5-12-13
4/3(pi)r^3
s^2(root3)/4
3^2(root3)/4= 9(root3)/4

27. Area of a trapezoid - given bases - 1 and 2 - height 4
3^2/2= 9/2
2^2/2= 2
4(1+2)/2= 6
(4/3)(pi)3^3= 36(pi)

28. Area of a square with a diagonal of x:
180(n-2)
x^2/2
180(200-2)= 35640
s(root3)

29. Area of a square with a diagonal of 3
(3*6)/2= 9
3^2/2= 9/2
2^2(root3)/4= root3
s(root3)

30. Parallelogram with equal sides
9-40-41
(3*6)/2= 9
rhombus
5-12-13

31. Volume of a cone and pyramid
1/3*bh
2^2/2= 2
s(root3)
3(root3)

32. Formula for the surface area of a sphere
4(pi)r^2
3^2/2= 9/2
h(b1+b2)/2
7-24-25

33. Surface area of a sphere with radius 3
4(pi)3^2= 36(pi)
180(200-2)= 35640
s(root3)/2
root3(root3)= 3

34. Pythagorean triple beginning with 8
8-15-17
root3(root3)= 3
3(root3)
20-21-29

35. Diagonal of a cube with side root3
root3(root3)= 3
3^2/2= 9/2
3(root3)
4(1+2)/2= 6