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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. Area of a triangle (geometry)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
A = 1/2bh
Inscribed
SA = pirl + pir^2 (where l is slant of cone)

2. Surface area of a rectangular solid
SA = 2lw + 2hw + 2lh
(n-2)180 (divide this by n to find individual angle measures)
D = sroot3
Original x (1 - rate)^number of changes

3. Area of a triangle (trig)
F = sroot2
A = 1/2absinx (where x is included angle of sides a and b)
V = (1/3)pir^2h
Inscribed angle will be half of arc (and therefore half of central angle)

4. Percent change
F = sroot2
Circumscribed
((amount change) / (original)) x 100
V = (1/3)pir^2h

5. (x+y)^2
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
x^2 + 2xy + y^2
Cone
Multiplication (product is same)

6. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
D^2 = 4r^2 + h^2 (pythagorean theorem)
Prime number (2 is only even prime number - 1 and 0 are not prime)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

7. Surface area of a cylinder
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 = s^3
SA = 2pir^2 + 2pirh
((amount change) / (original)) x 100

8. a shape drawn around another shape with the tighets fit possible
Cylinder
Both solids have same diameter
A = 1/2bh
Circumscribed

9. Cylinder inscribed in a sphere

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10. Surface area of a cube
Proportion (ratio is same)
SA = 2pir^2 + 2pirh
((amount change) / (original)) x 100
SA = 6s^2

11. Face diagonal of a cube
x^2 - 2xy + y^2
Cone
F = sroot2
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)

12. Circle rotated around its diameter
Sphere (same radii)
Remainder (note all remainders are always integers)
V = (1/3)pir^2h
A = bh (both sides of the rectangle)

13. 2 additional properties of a rectangle
Diameter of sphere is equal to length of cube's side
Remainder (note all remainders are always integers)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
A = absinx (where x is the angle between sides a and b)

14. Circumference of a circle
Right angle formed from height radius and slant
x^2 - 2xy + y^2
C = 2pir (or C = pi x d)
Original x (1 + rate)^number of changes

15. What do you use to solve for direct variation?
Distance / rate
A = 1/2bh
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Proportion (ratio is same)

16. length of an arc
Or
C = 2pir (or C = pi x d)
(degree/360) x 2pir
Diameter of sphere is equal to length of cube's side

17. Area of a trapezoid
SA = 2lw + 2hw + 2lh
A = h/2 (b1 + b2)
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
V = (1/3)pir^2h

18. Relation between inscribed angle and minor arc
A = 1/2bh
Inscribed angle will be half of arc (and therefore half of central angle)
Remainder (note all remainders are always integers)
SA = 6s^2

19. Sphere inscribed in a cube

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20. Surface area of a pyramid
(degree/360) x pir^2
Cone
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Sum of the area of each face (no definite equation)

21. Volume of a rectangular solid
SA 4pir^2
V = lwh
A = bh (h is hight from base to vertex and creating a right angle)
x^2 - y^2

22. Long diagonal of a cube
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
SA = pirl + pir^2 (where l is slant of cone)
D = sroot3
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

23. Cube or rectangular solid inscribed in a sphere
A = bh (h is hight from base to vertex and creating a right angle)
Long diagonal of solid is equal to diameter of sphere
(n-2)180 (divide this by n to find individual angle measures)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

24. Sphere inscribed in a cylinder
And
Both solids have same 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)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

25. 2 properties of regular polygon
Cone
Total = number of things x average
1. all sides are same length 2. all angles are same size
(n-2)180 (divide this by n to find individual angle measures)

26. Volume of a cube
V = (1/3)pir^2h
And
Sphere (same radii)
Both solids have same diameter

27. The integer left over after dividing two numbers
Or
Remainder (note all remainders are always integers)
Original x (1 + rate)^number of changes
Original x (1 - rate)^number of changes

28. Time =
Distance / rate
A = h/2 (b1 + b2)
D = sroot3
SA = pirl + pir^2 (where l is slant of cone)

29. What 2 properties does an isosceles triangle have?
A = h/2 (b1 + b2)
Total = number of things x average
D^2 = 4r^2 + h^2 (pythagorean theorem)
1. two equal sides 2. two equal angles of those sides

30. An integer that has exactly two distinct factors: itself and 1
Cone
A = 1/2bh
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
Prime number (2 is only even prime number - 1 and 0 are not prime)

31. Long diagonal of a cylinder
SA 4pir^2
Both solids have same diameter
V = (1/3)pir^2h
D^2 = 4r^2 + h^2 (pythagorean theorem)

32. Area of a sector
SA = 2pir^2 + 2pirh
Both solids have same diameter
(degree/360) x pir^2
Diameter of sphere is equal to length of cube's side

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

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34. 4 Properties of a parallelogram
Circumscribed
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
x^2 + 2xy + y^2
SA 4pir^2

35. Percent decrease
A = 1/2absinx (where x is included angle of sides a and b)
Circumscribed
Original x (1 - rate)^number of changes
x^2 - y^2

36. Rectangle rotated around a central line or one side
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)
x^2 - y^2
Cone
Cylinder

37. Area of a rectangle
Multiplication (product is same)
Remainder (note all remainders are always integers)
((amount change) / (original)) x 100
A = bh (both sides of the rectangle)

38. Volume of a cylinder
Total = number of things x average
Prime number (2 is only even prime number - 1 and 0 are not prime)
V= pir^2h
1. two equal sides 2. two equal angles of those sides

39. Sum of Angle formula (regular polygons)
D = sroot3
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
(n-2)180 (divide this by n to find individual angle measures)
Circumscribed

40. Two equations for Area of a square
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
A = h/2 (b1 + b2)
Cone
1. two equal sides 2. two equal angles of those sides

41. a shape that is in another shape - placed inside that shape with tightest fit possible
SA = pirl + pir^2 (where l is slant of cone)
V = (1/3)bh (where b is the area of the base figure)
Inscribed
V = lwh

42. In an inequality - what conjunction is used with less than
V = (1/3)pir^2h
D = sroot3
And
SA = 2pir^2 + 2pirh

43. What two triangles compose a square?
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
x^2 - y^2
A = absinx (where x is the angle between sides a and b)
Total = number of things x average

44. Right triangle rotated around one leg
Cone
1. all sides are same length 2. all angles are same size
Distance / rate
V = (1/3)pir^2h

45. Isosceles triangle rotated around axis of symmetry
Both solids have same diameter
Cone
Inscribed angle will be half of arc (and therefore half of central angle)
C = 2pir (or C = pi x d)

46. Percent increase
Original x (1 + rate)^number of changes
SA 4pir^2
Prime number (2 is only even prime number - 1 and 0 are not prime)
x^2 + 2xy + y^2

47. Area of a parallelogram (geometry)
D^2 = 4r^2 + h^2 (pythagorean theorem)
A = bh (h is hight from base to vertex and creating a right angle)
Proportion (ratio is same)
SA = pirl + pir^2 (where l is slant of cone)

48. Long diagonal of a rectangular solid
A = absinx (where x is the angle between sides a and b)
Diameter of sphere is equal to length of cube's side
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
(degree/360) x 2pir

49. (x-y)^2
(n-2)180 (divide this by n to find individual angle measures)
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

50. Area of a parallelogram (trig)
A = absinx (where x is the angle between sides a and b)
Distance / rate
V = s^3
A = h/2 (b1 + b2)