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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. What do you use to solve for direct variation?
SA = 2pir^2 + 2pirh
Proportion (ratio is same)
Sphere (same radii)
D = sroot3

2. Area of a circle
x^2 - 2xy + y^2
Distance / rate
A= pir^2
x^2 + 2xy + y^2

3. What two triangles compose a square?
C = 2pir (or C = pi x d)
A = h/2 (b1 + b2)
F = sroot2
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

4. Time =
x^2 + 2xy + y^2
Distance / rate
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Diameter of sphere is equal to length of cube's side

5. 4 Properties of a parallelogram
A = absinx (where x is the angle between sides a and b)
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
V = (1/3)bh (where b is the area of the base figure)
Multiplication (product is same)

6. Sphere inscribed in a cube

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7. Area of a triangle (geometry)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = 1/2bh
F = sroot2
A= pir^2

8. In an inequality - what conjunction is used with greater than
Circumscribed
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Distance / rate
Or

9. Two equations for Area of a square
Original x (1 - rate)^number of changes
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
A = bh (both sides of the rectangle)
V = lwh

10. Volume of a cube
V = (1/3)pir^2h
V= pir^2h
V = lwh
Diameter of sphere is equal to length of cube's side

11. Surface area of a pyramid
Sphere (same radii)
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
Sum of the area of each face (no definite equation)
V= pir^2h

12. length of an arc
A = bh (both sides of the rectangle)
(degree/360) x 2pir
D^2 = 4r^2 + h^2 (pythagorean theorem)
And

13. Surface area of a cylinder
V= pir^2h
SA = 2pir^2 + 2pirh
Long diagonal of solid is equal to diameter of sphere
Total = number of things x average

14. (x-y)^2
V = lwh
Or
V= pir^2h
x^2 - 2xy + y^2

15. a shape that is in another shape - placed inside that shape with tightest fit possible
A = bh (both sides of the rectangle)
Inscribed
V = (1/3)pir^2h
And

16. Surface area of a cone
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
D^2 = 4r^2 + h^2 (pythagorean theorem)
x^2 + 2xy + y^2
SA = pirl + pir^2 (where l is slant of cone)

17. Percent increase
Original x (1 + rate)^number of changes
SA = 2pir^2 + 2pirh
Both solids have same diameter
Proportion (ratio is same)

18. Sphere inscribed in a cylinder
And
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)
The angle is a right angle
Both solids have same diameter

19. Volume of a pyramid
SA = 6s^2
F = sroot2
V = (1/3)bh (where b is the area of the base figure)
A = 1/2absinx (where x is included angle of sides a and b)

20. Volume of a sphere
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Remainder (note all remainders are always integers)
(4/3)pir^3
Cone

21. Long diagonal of a cylinder
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Inscribed angle will be half of arc (and therefore half of central angle)
Prime number (2 is only even prime number - 1 and 0 are not prime)
D^2 = 4r^2 + h^2 (pythagorean theorem)

22. Surface area of a rectangular solid
Diameter of sphere is equal to length of cube's side
V = lwh
SA = 2lw + 2hw + 2lh
SA = pirl + pir^2 (where l is slant of cone)

23. Percent decrease
Multiplication (product is same)
Original x (1 - rate)^number of changes
Both will be same fraction of circle (60 degrees = 1/6 of circle)
SA = 6s^2

24. Percent change
Proportion (ratio is same)
Distance / rate
((amount change) / (original)) x 100
(degree/360) x pir^2

25. An integer that has exactly two distinct factors: itself and 1
Total = number of things x average
Sum of the area of each face (no definite equation)
Prime number (2 is only even prime number - 1 and 0 are not prime)
Both will be same fraction of circle (60 degrees = 1/6 of circle)

26. Area of a sector
D = sroot3
Right angle formed from height radius and slant
(degree/360) x pir^2
Inscribed

27. Rectangle rotated around a central line or one side
Sum of the area of each face (no definite equation)
V = (1/3)bh (where b is the area of the base figure)
x^2 - y^2
Cylinder

28. (x+y)^2
x^2 + 2xy + y^2
Inscribed angle will be half of arc (and therefore half of central angle)
A = h/2 (b1 + b2)
A = 1/2bh

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

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30. Face diagonal of a cube
Total = number of things x average
F = sroot2
SA = 2lw + 2hw + 2lh
V = (1/3)bh (where b is the area of the base figure)

31. Circle rotated around its diameter
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)
Sphere (same radii)
A= pir^2
V = lwh

32. 2 properties of regular polygon
SA = 2lw + 2hw + 2lh
1. all sides are same length 2. all angles are same size
V = lwh
Both solids have same diameter

33. Area of a parallelogram (geometry)
Sum of the area of each face (no definite equation)
A = bh (h is hight from base to vertex and creating a right angle)
A = bh (both sides of the rectangle)
V= pir^2h

34. In an inequality - what conjunction is used with less than
Distance / rate
A = bh (h is hight from base to vertex and creating a right angle)
And
F = sroot2

35. Volume of a cylinder
A = 1/2bh
SA 4pir^2
V= pir^2h
D^2 = 4r^2 + h^2 (pythagorean theorem)

36. Long diagonal of a cube
D = sroot3
V = (1/3)bh (where b is the area of the base figure)
A = h/2 (b1 + b2)
1. two equal sides 2. two equal angles of those sides

37. Area of a triangle (trig)
A = h/2 (b1 + b2)
A = bh (h is hight from base to vertex and creating a right angle)
A = 1/2absinx (where x is included angle of sides a and b)
(4/3)pir^3

38. What do you use to solve for indirect variation?
Multiplication (product is same)
Diameter of sphere is equal to length of cube's side
Right angle formed from height radius and slant
Remainder (note all remainders are always integers)

39. Volume of a rectangular solid
1. two equal sides 2. two equal angles of those sides
V = lwh
SA = 6s^2
C = 2pir (or C = pi x d)

40. Area of a trapezoid
Or
V= pir^2h
Cone
A = h/2 (b1 + b2)

41. Area of a rectangle
A = h/2 (b1 + b2)
SA = pirl + pir^2 (where l is slant of cone)
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 = bh (both sides of the rectangle)

42. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
V = (1/3)bh (where b is the area of the base figure)
SA = 2lw + 2hw + 2lh
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

43. One property any angle inscribed in a semi-cricle has
Proportion (ratio is same)
The angle is a right angle
A = 1/2absinx (where x is included angle of sides a and b)
And

44. Cylinder inscribed in a sphere

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45. Main property of a cone
((amount change) / (original)) x 100
Right angle formed from height radius and slant
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

46. Volume of a cube
x^2 + 2xy + y^2
Right angle formed from height radius and slant
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
V = s^3

47. Isosceles triangle rotated around axis of symmetry
V = (1/3)pir^2h
Cone
V= pir^2h
Sphere (same radii)

48. (x+y)(x-y)
V= pir^2h
A = absinx (where x is the angle between sides a and b)
D^2 = 4r^2 + h^2 (pythagorean theorem)
x^2 - y^2

49. Area of a parallelogram (trig)
D^2 = 4r^2 + h^2 (pythagorean theorem)
V = lwh
Original x (1 + rate)^number of changes
A = absinx (where x is the angle between sides a and b)

50. 2 additional properties of a 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
Prime number (2 is only even prime number - 1 and 0 are not prime)
And
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length