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SAT Math Subject Test 1 And 2

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. length of an arc
(degree/360) x 2pir
x^2 + 2xy + y^2
Cylinder
Multiplication (product is same)

2. Surface area of a rectangular solid
V= pir^2h
SA = 2lw + 2hw + 2lh
x^2 - y^2
V = (1/3)bh (where b is the area of the base figure)

3. Volume of a cube
Proportion (ratio is same)
V = (1/3)pir^2h
x^2 - y^2
Or

4. Volume of a pyramid
V = (1/3)bh (where b is the area of the base figure)
A = h/2 (b1 + b2)
Cone
Prime number (2 is only even prime number - 1 and 0 are not prime)

5. 2 additional properties of a rectangle
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Sum of the area of each face (no definite equation)
(4/3)pir^3

6. Time =
1. all sides are same length 2. all angles are same size
C = 2pir (or C = pi x d)
Distance / rate
A= pir^2

7. Area of a triangle (trig)
((amount change) / (original)) x 100
A = 1/2absinx (where x is included angle of sides a and b)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
F = sroot2

8. Area of a sector
(degree/360) x pir^2
Remainder (note all remainders are always integers)
1. two equal sides 2. two equal angles of those sides
D^2 = 4r^2 + h^2 (pythagorean theorem)

9. a shape that is in another shape - placed inside that shape with tightest fit possible
x^2 + 2xy + y^2
Inscribed
Sum of the area of each face (no definite equation)
SA = 2lw + 2hw + 2lh

10. Cylinder inscribed in a sphere

11. Long diagonal of a cylinder
V = (1/3)pir^2h
(degree/360) x 2pir
F = sroot2
D^2 = 4r^2 + h^2 (pythagorean theorem)

12. Sphere inscribed in a cube

13. Circumference of a circle
A = 1/2absinx (where x is included angle of sides a and b)
C = 2pir (or C = pi x d)
((amount change) / (original)) x 100
Remainder (note all remainders are always integers)

14. What do you use to solve for indirect variation?
Multiplication (product is same)
The angle is a right angle
x^2 - 2xy + y^2
x^2 - y^2

15. a shape drawn around another shape with the tighets fit possible
A = h/2 (b1 + b2)
Circumscribed
SA 4pir^2
1. all sides are same length 2. all angles are same size

16. Surface area of a cone
SA = pirl + pir^2 (where l is slant of cone)
C = 2pir (or C = pi x d)
Inscribed angle will be half of arc (and therefore half of central angle)
Distance / rate

17. Volume of a sphere
1. all sides are same length 2. all angles are same size
A = bh (both sides of the rectangle)
V = (1/3)pir^2h
(4/3)pir^3

18. Isosceles triangle rotated around axis of symmetry
C = 2pir (or C = pi x d)
Cylinder
SA = 2lw + 2hw + 2lh
Cone

19. Percent decrease
Diameter of sphere is equal to length of cube's side
Cone
Original x (1 - rate)^number of changes
1. all sides are same length 2. all angles are same size

20. Relation between inscribed angle and minor arc
A = bh (h is hight from base to vertex and creating a right angle)
Or
Inscribed angle will be half of arc (and therefore half of central angle)
A= pir^2

21. An integer that has exactly two distinct factors: itself and 1
Circumscribed
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
V= pir^2h
Prime number (2 is only even prime number - 1 and 0 are not prime)

22. Two equations for Area of a square
Sphere's diameter is equal to diagonal of rectangle formed by cylinder's height and diameter (other words - diagonal of cylinder equals sphere's diameter)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = (1/3)pir^2h
A = 1/2bh

23. Volume of a cube
SA = 2lw + 2hw + 2lh
V = s^3
SA = 6s^2
1. all sides are same length 2. all angles are same size

24. Area of a triangle (geometry)
(degree/360) x 2pir
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = 1/2bh

25. Rectangle rotated around a central line or one side
V = s^3
Cylinder
Total = number of things x average
(n-2)180 (divide this by n to find individual angle measures)

26. Volume of a rectangular solid
A = h/2 (b1 + b2)
V = lwh
Both solids have same diameter
D^2 = 4r^2 + h^2 (pythagorean theorem)

27. Sphere inscribed in a cylinder
Both solids have same diameter
Prime number (2 is only even prime number - 1 and 0 are not prime)
SA = 2lw + 2hw + 2lh
V = (1/3)bh (where b is the area of the base figure)

28. 2 properties of regular polygon
SA = pirl + pir^2 (where l is slant of cone)
Long diagonal of solid is equal to diameter of sphere
1. all sides are same length 2. all angles are same size
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

29. Three properties of tangent lines extending from a point to a circle

30. (x+y)(x-y)
x^2 - y^2
Inscribed angle will be half of arc (and therefore half of central angle)
And
V = s^3

31. Percent increase
Original x (1 - rate)^number of changes
Original x (1 + rate)^number of changes
D^2 = 4r^2 + h^2 (pythagorean theorem)
Remainder (note all remainders are always integers)

32. Surface area of a pyramid
Sum of the area of each face (no definite equation)
Proportion (ratio is same)
Long diagonal of solid is equal to diameter of sphere
V = lwh

33. Area of a circle
SA = pirl + pir^2 (where l is slant of cone)
Multiplication (product is same)
V = (1/3)bh (where b is the area of the base figure)
A= pir^2

34. Cube or rectangular solid inscribed in a sphere
Proportion (ratio is same)
Cone
A = bh (both sides of the rectangle)
Long diagonal of solid is equal to diameter of sphere

35. One property any angle inscribed in a semi-cricle has
The angle is a right angle
Total = number of things x average
A= pir^2
(n-2)180 (divide this by n to find individual angle measures)

36. Surface area of a sphere
SA 4pir^2
1. opposite angles in a parallelogram are equal 2. adjacent angles in a parallelogram are supplementary; they add up to 180 degrees (think transversal) 3. opposite sides in a parallelogram are of equal length 4. diagonals of a parallelogram bisect ea
C = 2pir (or C = pi x d)
Circumscribed

37. Face diagonal of a cube
D^2 = 4r^2 + h^2 (pythagorean theorem)
Proportion (ratio is same)
F = sroot2
V = (1/3)bh (where b is the area of the base figure)

38. Surface area of a cylinder
The angle is a right angle
SA = 2pir^2 + 2pirh
(degree/360) x pir^2
Distance / rate

39. What do you use to solve for direct variation?
D^2 = 4r^2 + h^2 (pythagorean theorem)
Proportion (ratio is same)
A = absinx (where x is the angle between sides a and b)
Remainder (note all remainders are always integers)

40. What two triangles compose a square?
(n-2)180 (divide this by n to find individual angle measures)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
A = absinx (where x is the angle between sides a and b)
Inscribed

41. Area of a parallelogram (geometry)
Cone
A = bh (h is hight from base to vertex and creating a right angle)
SA = 2pir^2 + 2pirh
Cylinder

42. Relation between central angle and minor arc
Or
V = lwh
V = s^3
Both will be same fraction of circle (60 degrees = 1/6 of circle)

43. In an inequality - what conjunction is used with greater than
Or
Inscribed angle will be half of arc (and therefore half of central angle)
Total = number of things x average
SA = pirl + pir^2 (where l is slant of cone)

44. What 2 properties does an isosceles triangle have?
V= pir^2h
1. two equal sides 2. two equal angles of those sides
(n-2)180 (divide this by n to find individual angle measures)
x^2 + 2xy + y^2

45. Main property of a cone
x^2 - y^2
x^2 - 2xy + y^2
Right angle formed from height radius and slant
Both solids have same diameter

46. Long diagonal of a rectangular solid
V= pir^2h
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
1. distances from points of tangency will be equal on both sides 2. Angle created will be equal at circle's center 3. Will create right angles on both sides at point of tangency
x^2 + 2xy + y^2

47. Right triangle rotated around one leg
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Cone
V = (1/3)bh (where b is the area of the base figure)
A = bh (h is hight from base to vertex and creating a right angle)

48. Surface area of a cube
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
SA = 6s^2
SA = 2pir^2 + 2pirh
A = bh (both sides of the rectangle)

49. The integer left over after dividing two numbers
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Proportion (ratio is same)
Remainder (note all remainders are always integers)
Diameter of sphere is equal to length of cube's side

50. Percent change
Sphere's diameter is equal to diagonal of rectangle formed by cylinder's height and diameter (other words - diagonal of cylinder equals sphere's diameter)
Circumscribed
A = 1/2bh
((amount change) / (original)) x 100