Test your basic knowledge |

SAT Math: Geometry Formulas

Instructions:

Answer 35 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. Pythagorean triple beginning with 7
4(pi)r^2
root3(root3)= 3
7-24-25
8-15-17

2. Pythagorean triple beginning with 20
s(root3)/2
4^2/2= 8
20-21-29
2^2/2= 2

3. Pythagorean triple beginning with 9
9-40-41
20-21-29
8-15-17
3^2/2= 9/2

4. Surface area of a sphere with radius 3
s(root3)
180(200-2)= 35640
4(pi)3^2= 36(pi)
20-21-29

5. Volume of a sphere
2^2(root3)/4= root3
3^2/2= 9/2
12-35-37
4/3(pi)r^3

6. Volume of a sphere given radius 3
(3*6)/2= 9
(1*2)/2= 1
1^2/2= 1/2
(4/3)(pi)3^3= 36(pi)

7. Area of a square with a diagonal of 2
2^2/2= 2
9-40-41
2^2(root3)/4= root3
4^2/2= 8

8. Area of a rhombus - given diagonals - 1 and 2
(1*2)/2= 1
180(100-2)= 17640
s(root3)
3(root3)

9. Total degrees in 100 sided polygon
s^2(root3)/4
3^2(root3)/4= 9(root3)/4
180(100-2)= 17640
5(2+3)/2= 15

10. Surface area of a sphere with radius 2
4/3(pi)r^3
4(pi)2^2= 16(pi)
5-12-13
2^2(root3)/4= root3

11. Height of equilateral triangle with side s
s^2(root3)/4
5(2+3)/2= 15
180(100-2)= 17640
s(root3)/2

12. Pythagorean triple beginning with 12
5(2+3)/2= 15
180(n-2)
h(b1+b2)/2
12-35-37

13. Formula for the surface area of a sphere
x^2/2
2^2/2= 2
4(pi)r^2
12-35-37

14. Area of an equilateral triangle with side 3
3^2(root3)/4= 9(root3)/4
(4/3)(pi)3^3= 36(pi)
h(b1+b2)/2
4^2/2= 8

15. Volume of a cylinder and prism
h(b1+b2)/2
2^2(root3)/4= root3
4/3(pi)r^3
b*h

16. Area of a trapezoid - given bases - 1 and 2 - height 4
4(pi)3^2= 36(pi)
h(b1+b2)/2
2^2(root3)/4= root3
4(1+2)/2= 6

17. Volume of a cone and pyramid
b*h
4(pi)3^2= 36(pi)
1/3*bh
4(pi)2^2= 16(pi)

18. Area of a square with a diagonal of 4
4^2/2= 8
9-40-41
(3*6)/2= 9
4(pi)2^2= 16(pi)

19. Area of a trapezoid given bases 2 and 3 - height 5
4^2/2= 8
12-35-37
5(2+3)/2= 15
(d1*d2)/2

20. Area of a trapezoid - given bases b - height h
4(1+2)/2= 6
(d1*d2)/2
x^2/2
h(b1+b2)/2

21. Diagonal of a cube with side 3
5(2+3)/2= 15
s(root3)
3(root3)
4(1+2)/2= 6

22. Area of a square with a diagonal of x:
180(100-2)= 17640
b*h
7-24-25
x^2/2

23. Diagonal of a cube with side s
(3*6)/2= 9
root3(root3)= 3
s(root3)
4/3(pi)r^3

24. Area of a square with a diagonal of 1
4/3(pi)r^3
1^2/2= 1/2
s(root3)
7-24-25

25. Pythagorean triple beginning with 8
(1*2)/2= 1
5(2+3)/2= 15
4(pi)2^2= 16(pi)
8-15-17

26. Area of a square with a diagonal of 3
5-12-13
b*h
3^2/2= 9/2
rhombus

27. Area of an equilateral triangle with side 2
4(1+2)/2= 6
(1*2)/2= 1
9-40-41
2^2(root3)/4= root3

28. Total degrees in 200 sided polygon
180(200-2)= 35640
8-15-17
s(root3)
s^2(root3)/4

29. Parallelogram with equal sides
rhombus
2^2/2= 2
s(root3)/2
12-35-37

30. Pythagorean triple beginning with 5
(1*2)/2= 1
2^2(root3)/4= root3
3(root3)
5-12-13

31. Total degrees in n-sided polygon
180(n-2)
2^2(root3)/4= root3
4(pi)2^2= 16(pi)
h(b1+b2)/2

32. Area of a rhombus - given diagonals - 3 and 6
s(root3)/2
4(pi)r^2
(3*6)/2= 9
180(200-2)= 35640

33. Area of a rhombus - given diagonals d
3^2/2= 9/2
s(root3)
1/3*bh
(d1*d2)/2

34. Diagonal of a cube with side root3
x^2/2
root3(root3)= 3
4^2/2= 8
12-35-37

35. Area of an equilateral triangle with side s
9-40-41
(4/3)(pi)3^3= 36(pi)
8-15-17
s^2(root3)/4