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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. Cylinder inscribed in a sphere

2. Surface area of a cone
And
Remainder (note all remainders are always integers)
SA = pirl + pir^2 (where l is slant of cone)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

3. Volume of a rectangular solid
V = lwh
Original x (1 + rate)^number of changes
D^2 = 4r^2 + h^2 (pythagorean theorem)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

4. 2 properties of regular polygon
Inscribed
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
x^2 - y^2
1. all sides are same length 2. all angles are same size

5. Average pie
V = (1/3)pir^2h
Total = number of things x average
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A = h/2 (b1 + b2)

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

7. Surface area of a cube
V = s^3
SA = 6s^2
V = (1/3)pir^2h
Prime number (2 is only even prime number - 1 and 0 are not prime)

8. Surface area of a cylinder
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
SA = 6s^2
SA = 2pir^2 + 2pirh

9. Area of a trapezoid
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A = h/2 (b1 + b2)
SA = 2lw + 2hw + 2lh
A = 1/2bh

10. Two equations for Area of a square
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Diameter of sphere is equal to length of cube's side
Circumscribed
x^2 - 2xy + y^2

11. Relation between inscribed angle and minor arc
Diameter of sphere is equal to length of cube's side
Inscribed angle will be half of arc (and therefore half of central angle)
V= pir^2h
Long diagonal of solid is equal to diameter of sphere

12. (x-y)^2
((amount change) / (original)) x 100
Remainder (note all remainders are always integers)
x^2 - 2xy + y^2
x^2 + 2xy + y^2

13. Volume of a cube
SA = 2lw + 2hw + 2lh
(4/3)pir^3
Prime number (2 is only even prime number - 1 and 0 are not prime)
V = (1/3)pir^2h

14. Percent decrease
Original x (1 - rate)^number of changes
A = 1/2absinx (where x is included angle of sides a and b)
Remainder (note all remainders are always integers)
A = absinx (where x is the angle between sides a and b)

15. Volume of a sphere
Total = number of things x average
(4/3)pir^3
And
Multiplication (product is same)

16. What do you use to solve for indirect variation?
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Multiplication (product is same)
V = (1/3)bh (where b is the area of the base figure)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

17. Sum of Angle formula (regular polygons)
SA = 2pir^2 + 2pirh
(n-2)180 (divide this by n to find individual angle measures)
A = 1/2absinx (where x is included angle of sides a and b)
Remainder (note all remainders are always integers)

18. Surface area of a sphere
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
Total = number of things x average
Both solids have same diameter
SA 4pir^2

19. Time =
V = lwh
Distance / rate
(4/3)pir^3
Long diagonal of solid is equal to diameter of sphere

20. The integer left over after dividing two numbers
A = 1/2bh
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)
Remainder (note all remainders are always integers)
((amount change) / (original)) x 100

21. In an inequality - what conjunction is used with greater than
Sum of the area of each face (no definite equation)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
D = sroot3
Or

22. Long diagonal of a cube
Diameter of sphere is equal to length of cube's side
Total = number of things x average
D = sroot3
Cone

23. Percent increase
SA = 2lw + 2hw + 2lh
Sum of the area of each face (no definite equation)
Original x (1 + rate)^number of changes
A = 1/2bh

24. Circumference of a circle
C = 2pir (or C = pi x d)
1. all sides are same length 2. all angles are same size
A = bh (h is hight from base to vertex and creating a right angle)
D = sroot3

25. a shape drawn around another shape with the tighets fit possible
Circumscribed
1. all sides are same length 2. all angles are same size
A = absinx (where x is the angle between sides a and b)
Sum of the area of each face (no definite equation)

26. Surface area of a rectangular solid
x^2 - y^2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
C = 2pir (or C = pi x d)
SA = 2lw + 2hw + 2lh

27. Cube or rectangular solid inscribed in a sphere
x^2 - y^2
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 = absinx (where x is the angle between sides a and b)
Long diagonal of solid is equal to diameter of sphere

28. Area of a parallelogram (trig)
A = absinx (where x is the angle between sides a and b)
Or
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Circumscribed

29. (x+y)(x-y)
A = 1/2absinx (where x is included angle of sides a and b)
Remainder (note all remainders are always integers)
SA = 6s^2
x^2 - y^2

30. 4 Properties of a parallelogram
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
Sphere (same radii)
V= pir^2h
Circumscribed

31. Area of a triangle (geometry)
((amount change) / (original)) x 100
C = 2pir (or C = pi x d)
Cone
A = 1/2bh

32. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
F = sroot2
x^2 - 2xy + y^2
SA = 2pir^2 + 2pirh

33. length of an arc
Prime number (2 is only even prime number - 1 and 0 are not prime)
(degree/360) x 2pir
Sum of the area of each face (no definite equation)
SA = pirl + pir^2 (where l is slant of cone)

34. Volume of a cube
V = s^3
Cone
Cone
V= pir^2h

35. 2 additional properties of a rectangle
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Prime number (2 is only even prime number - 1 and 0 are not prime)
Or

36. Sphere inscribed in a cylinder
Both solids have same diameter
Cone
SA = 2pir^2 + 2pirh
x^2 - 2xy + y^2

37. Volume of a cylinder
V= pir^2h
Remainder (note all remainders are always integers)
(n-2)180 (divide this by n to find individual angle measures)
V = (1/3)pir^2h

38. What do you use to solve for direct variation?
Proportion (ratio is same)
Diameter of sphere is equal to length of cube's side
V = (1/3)pir^2h
Multiplication (product is same)

39. Right triangle rotated around one leg
SA = 2lw + 2hw + 2lh
((amount change) / (original)) x 100
Or
Cone

40. Surface area of a pyramid
D^2 = 4r^2 + h^2 (pythagorean theorem)
Sum of the area of each face (no definite equation)
The angle is a right angle
Inscribed angle will be half of arc (and therefore half of central angle)

41. Long diagonal of a cylinder
((amount change) / (original)) x 100
D^2 = 4r^2 + h^2 (pythagorean theorem)
A = 1/2bh
V = s^3

42. Volume of a pyramid
Original x (1 - rate)^number of changes
SA = 2lw + 2hw + 2lh
V = (1/3)bh (where b is the area of the base figure)
V = s^3

43. Sphere inscribed in a cube

44. In an inequality - what conjunction is used with less than
SA = 6s^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)
And
Long diagonal of solid is equal to diameter of sphere

45. Face diagonal of a cube
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
And
F = sroot2
A = 1/2bh

46. Area of a rectangle
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = (1/3)pir^2h
A = bh (both sides of the rectangle)
Inscribed angle will be half of arc (and therefore half of central angle)

47. a shape that is in another shape - placed inside that shape with tightest fit possible
(n-2)180 (divide this by n to find individual angle measures)
V = lwh
Prime number (2 is only even prime number - 1 and 0 are not prime)
Inscribed

48. Area of a parallelogram (geometry)
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
(4/3)pir^3
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
A = bh (h is hight from base to vertex and creating a right angle)

49. Area of a sector
1. two equal sides 2. two equal angles of those sides
D = sroot3
(degree/360) x pir^2
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

50. Area of a circle
Distance / rate
A = bh (h is hight from base to vertex and creating a right angle)
x^2 - y^2
A= pir^2