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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. Surface area of a cylinder
Original x (1 + rate)^number of changes
And
Sphere (same radii)
SA = 2pir^2 + 2pirh

2. length of an arc
A = absinx (where x is the angle between sides a and b)
Diameter of sphere is equal to length of cube's side
And
(degree/360) x 2pir

3. Cylinder inscribed in a sphere

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4. Long diagonal of a cylinder
D^2 = 4r^2 + h^2 (pythagorean theorem)
Original x (1 + rate)^number of changes
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

5. In an inequality - what conjunction is used with greater than
A = 1/2absinx (where x is included angle of sides a and b)
(degree/360) x 2pir
Or
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

6. Two equations for Area of a square
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Circumscribed
A = absinx (where x is the angle between sides a and b)
Remainder (note all remainders are always integers)

7. Area of a trapezoid
A = h/2 (b1 + b2)
SA = 2lw + 2hw + 2lh
(n-2)180 (divide this by n to find individual angle measures)
SA = 6s^2

8. 2 properties of regular polygon
x^2 + 2xy + y^2
1. all sides are same length 2. all angles are same size
Prime number (2 is only even prime number - 1 and 0 are not prime)
Multiplication (product is same)

9. a shape that is in another shape - placed inside that shape with tightest fit possible
SA = 6s^2
Inscribed
V = lwh
Inscribed angle will be half of arc (and therefore half of central angle)

10. What do you use to solve for indirect variation?
Multiplication (product is same)
Sphere (same radii)
V = s^3
Both will be same fraction of circle (60 degrees = 1/6 of circle)

11. a shape drawn around another shape with the tighets fit possible
V = lwh
Remainder (note all remainders are always integers)
Circumscribed
The angle is a right angle

12. Sphere inscribed in a cylinder
Circumscribed
Both solids have same diameter
Multiplication (product is same)
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

13. Volume of a cube
V = s^3
SA = pirl + pir^2 (where l is slant of cone)
SA = 2pir^2 + 2pirh
V = lwh

14. 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
Right angle formed from height radius and slant
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
(n-2)180 (divide this by n to find individual angle measures)

15. Surface area of a pyramid
A = bh (both sides of the rectangle)
Proportion (ratio is same)
x^2 + 2xy + y^2
Sum of the area of each face (no definite equation)

16. Area of a triangle (trig)
C = 2pir (or C = pi x d)
SA 4pir^2
Cone
A = 1/2absinx (where x is included angle of sides a and b)

17. 4 Properties of a parallelogram
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Proportion (ratio is same)
Multiplication (product is same)
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

18. Area of a triangle (geometry)
Sum of the area of each face (no definite equation)
Multiplication (product is same)
Proportion (ratio is same)
A = 1/2bh

19. The integer left over after dividing two numbers
Remainder (note all remainders are always integers)
SA = 2lw + 2hw + 2lh
Sphere (same radii)
(degree/360) x 2pir

20. Area of a rectangle
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
A = absinx (where x is the angle between sides a and b)
A = bh (both sides of the rectangle)
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

21. Sum of Angle formula (regular polygons)
Distance / rate
SA 4pir^2
(n-2)180 (divide this by n to find individual angle measures)
A= pir^2

22. (x+y)^2
Inscribed angle will be half of arc (and therefore half of central angle)
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)
Original x (1 - rate)^number of changes
x^2 + 2xy + y^2

23. Volume of a cylinder
(degree/360) x 2pir
SA = 2lw + 2hw + 2lh
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V= pir^2h

24. Surface area of a rectangular solid
Prime number (2 is only even prime number - 1 and 0 are not prime)
SA = 2lw + 2hw + 2lh
Proportion (ratio is same)
A = 1/2bh

25. Volume of a cube
V = (1/3)pir^2h
Distance / rate
1. two equal sides 2. two equal angles of those sides
Inscribed angle will be half of arc (and therefore half of central angle)

26. Time =
Cone
1. two equal sides 2. two equal angles of those sides
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)
Distance / rate

27. Average pie
Total = number of things x average
Diameter of sphere is equal to length of cube's side
Both solids have same diameter
C = 2pir (or C = pi x d)

28. Surface area of a cone
SA = pirl + pir^2 (where l is slant of cone)
A= pir^2
Diameter of sphere is equal to length of cube's side
A = bh (both sides of the rectangle)

29. Right triangle rotated around one leg
Right angle formed from height radius and slant
SA 4pir^2
A = 1/2absinx (where x is included angle of sides a and b)
Cone

30. What 2 properties does an isosceles triangle have?
V = (1/3)pir^2h
V = lwh
Both will be same fraction of circle (60 degrees = 1/6 of circle)
1. two equal sides 2. two equal angles of those sides

31. Relation between central angle and minor arc
1. all sides are same length 2. all angles are same size
Remainder (note all remainders are always integers)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Sphere (same radii)

32. Volume of a rectangular solid
Or
A = bh (both sides of the rectangle)
Cone
V = lwh

33. Long diagonal of a rectangular solid
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
(degree/360) x 2pir
x^2 - 2xy + y^2
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

34. Circle rotated around its diameter
Sphere (same radii)
V = (1/3)pir^2h
Total = number of things x average
And

35. Surface area of a sphere
Or
Original x (1 + rate)^number of changes
SA 4pir^2
x^2 - 2xy + y^2

36. Percent increase
C = 2pir (or C = pi x d)
1. all sides are same length 2. all angles are same size
SA = 2pir^2 + 2pirh
Original x (1 + rate)^number of changes

37. Sphere inscribed in a cube

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38. Face diagonal of a cube
Original x (1 + rate)^number of changes
x^2 + 2xy + y^2
F = sroot2
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

39. What do you use to solve for direct variation?
Proportion (ratio is same)
V = s^3
SA = 6s^2
F = sroot2

40. Main property of a cone
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Right angle formed from height radius and slant
1. all sides are same length 2. all angles are same size
Multiplication (product is same)

41. (x-y)^2
x^2 - 2xy + y^2
1. all sides are same length 2. all angles are same size
F = sroot2
(n-2)180 (divide this by n to find individual angle measures)

42. An integer that has exactly two distinct factors: itself and 1
Prime number (2 is only even prime number - 1 and 0 are not prime)
Multiplication (product is same)
Both solids have same diameter
Both will be same fraction of circle (60 degrees = 1/6 of circle)

43. (x+y)(x-y)
SA = pirl + pir^2 (where l is slant of cone)
Circumscribed
V = s^3
x^2 - y^2

44. Volume of a sphere
C = 2pir (or C = pi x d)
(4/3)pir^3
SA 4pir^2
((amount change) / (original)) x 100

45. Long diagonal of a cube
V= pir^2h
D = sroot3
Long diagonal of solid is equal to diameter of sphere
Prime number (2 is only even prime number - 1 and 0 are not prime)

46. Area of a sector
(degree/360) x pir^2
A = bh (h is hight from base to vertex and creating a right angle)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Distance / rate

47. Area of a parallelogram (geometry)
A = 1/2absinx (where x is included angle of sides a and b)
A = bh (h is hight from base to vertex and creating a right angle)
Both solids have same diameter
Or

48. Area of a circle
SA = pirl + pir^2 (where l is slant of cone)
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
A= pir^2
((amount change) / (original)) x 100

49. Area of a parallelogram (trig)
A = absinx (where x is the angle between sides a and b)
Prime number (2 is only even prime number - 1 and 0 are not prime)
x^2 + 2xy + y^2
A = bh (h is hight from base to vertex and creating a right angle)

50. Surface area of a cube
Sphere (same radii)
A = bh (both sides of the rectangle)
SA = 6s^2
Or