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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. Pythagorean triple beginning with 12
b*h
rhombus
2^2(root3)/4= root3
12-35-37

2. Pythagorean triple beginning with 7
12-35-37
7-24-25
8-15-17
5(2+3)/2= 15

3. Area of an equilateral triangle with side s
180(200-2)= 35640
h(b1+b2)/2
s^2(root3)/4
(1*2)/2= 1

4. Area of a trapezoid - given bases b - height h
(d1*d2)/2
h(b1+b2)/2
4(1+2)/2= 6
s(root3)/2

5. Area of a square with a diagonal of 4
1/3*bh
5(2+3)/2= 15
x^2/2
4^2/2= 8

6. Height of equilateral triangle with side s
root3(root3)= 3
9-40-41
5(2+3)/2= 15
s(root3)/2

7. Surface area of a sphere with radius 2
4(pi)3^2= 36(pi)
4(pi)2^2= 16(pi)
9-40-41
12-35-37

8. Volume of a sphere given radius 3
(4/3)(pi)3^3= 36(pi)
h(b1+b2)/2
2^2/2= 2
s(root3)

9. Volume of a sphere
4/3(pi)r^3
4(pi)3^2= 36(pi)
h(b1+b2)/2
12-35-37

10. Area of a square with a diagonal of 1
1^2/2= 1/2
h(b1+b2)/2
8-15-17
4(pi)2^2= 16(pi)

11. Area of a rhombus - given diagonals d
(3*6)/2= 9
b*h
(d1*d2)/2
root3(root3)= 3

12. Parallelogram with equal sides
root3(root3)= 3
rhombus
4(pi)3^2= 36(pi)
180(200-2)= 35640

13. Formula for the surface area of a sphere
5-12-13
(1*2)/2= 1
4(pi)r^2
7-24-25

14. Volume of a cone and pyramid
1/3*bh
(1*2)/2= 1
(3*6)/2= 9
s(root3)/2

15. Area of a square with a diagonal of x:
180(200-2)= 35640
x^2/2
1^2/2= 1/2
(4/3)(pi)3^3= 36(pi)

16. Pythagorean triple beginning with 8
4^2/2= 8
8-15-17
180(100-2)= 17640
4(pi)2^2= 16(pi)

17. Pythagorean triple beginning with 9
root3(root3)= 3
4/3(pi)r^3
4(pi)3^2= 36(pi)
9-40-41

18. Total degrees in 100 sided polygon
1/3*bh
180(100-2)= 17640
2^2/2= 2
root3(root3)= 3

19. Total degrees in 200 sided polygon
9-40-41
h(b1+b2)/2
rhombus
180(200-2)= 35640

20. Pythagorean triple beginning with 5
20-21-29
(d1*d2)/2
5-12-13
(3*6)/2= 9

21. Diagonal of a cube with side s
s(root3)
180(100-2)= 17640
8-15-17
180(n-2)

22. Pythagorean triple beginning with 20
9-40-41
4(pi)3^2= 36(pi)
20-21-29
s(root3)/2

23. Area of a trapezoid - given bases - 1 and 2 - height 4
2^2(root3)/4= root3
12-35-37
1^2/2= 1/2
4(1+2)/2= 6

24. Diagonal of a cube with side 3
3(root3)
9-40-41
(d1*d2)/2
12-35-37

25. Area of a square with a diagonal of 2
2^2(root3)/4= root3
5(2+3)/2= 15
9-40-41
2^2/2= 2

26. Volume of a cylinder and prism
4(pi)2^2= 16(pi)
5(2+3)/2= 15
b*h
(4/3)(pi)3^3= 36(pi)

27. Area of a trapezoid given bases 2 and 3 - height 5
s^2(root3)/4
b*h
5(2+3)/2= 15
s(root3)

28. Area of an equilateral triangle with side 2
3^2(root3)/4= 9(root3)/4
2^2(root3)/4= root3
12-35-37
3^2/2= 9/2

29. Area of an equilateral triangle with side 3
4(pi)2^2= 16(pi)
3^2/2= 9/2
3^2(root3)/4= 9(root3)/4
5(2+3)/2= 15

30. Diagonal of a cube with side root3
rhombus
180(200-2)= 35640
root3(root3)= 3
20-21-29

31. Total degrees in n-sided polygon
4(pi)r^2
9-40-41
180(n-2)
5-12-13

32. Area of a rhombus - given diagonals - 1 and 2
(1*2)/2= 1
3^2(root3)/4= 9(root3)/4
7-24-25
rhombus

33. Surface area of a sphere with radius 3
3^2/2= 9/2
1/3*bh
4(1+2)/2= 6
4(pi)3^2= 36(pi)

34. Area of a rhombus - given diagonals - 3 and 6
4/3(pi)r^3
(3*6)/2= 9
180(n-2)
1/3*bh

35. Area of a square with a diagonal of 3
20-21-29
2^2/2= 2
4(pi)r^2
3^2/2= 9/2