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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. Long diagonal of a rectangular solid
V = lwh
(4/3)pir^3
Circumscribed
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

2. (x+y)(x-y)
SA 4pir^2
x^2 + 2xy + y^2
x^2 - y^2
Distance / rate

3. Area of a triangle (geometry)
A = 1/2bh
x^2 - 2xy + y^2
C = 2pir (or C = pi x d)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

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

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5. Surface area of a cone
SA = pirl + pir^2 (where l is slant of cone)
Inscribed
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

6. Area of a parallelogram (trig)
A = bh (h is hight from base to vertex and creating a right angle)
A = absinx (where x is the angle between sides a and b)
x^2 - 2xy + y^2
SA = 6s^2

7. Area of a parallelogram (geometry)
Long diagonal of solid is equal to diameter of sphere
A = bh (h is hight from base to vertex and creating a right angle)
SA = 2pir^2 + 2pirh
A = bh (both sides of the rectangle)

8. Time =
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Inscribed
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
Distance / rate

9. What do you use to solve for indirect variation?
SA = 6s^2
A = bh (h is hight from base to vertex and creating a right angle)
V= pir^2h
Multiplication (product is same)

10. Area of a circle
Multiplication (product is same)
Remainder (note all remainders are always integers)
A= pir^2
A = 1/2absinx (where x is included angle of sides a and b)

11. Surface area of a sphere
Both solids have same diameter
V = (1/3)bh (where b is the area of the base figure)
SA 4pir^2
Circumscribed

12. Surface area of a pyramid
V = lwh
A = h/2 (b1 + b2)
Sum of the area of each face (no definite equation)
((amount change) / (original)) x 100

13. (x+y)^2
Prime number (2 is only even prime number - 1 and 0 are not prime)
Both solids have same diameter
x^2 + 2xy + y^2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

14. Circle rotated around its diameter
D = sroot3
A= pir^2
Sphere (same radii)
Multiplication (product is same)

15. Circumference of a circle
(n-2)180 (divide this by n to find individual angle measures)
x^2 + 2xy + y^2
C = 2pir (or C = pi x d)
V = (1/3)bh (where b is the area of the base figure)

16. Area of a rectangle
Cone
V = s^3
(degree/360) x 2pir
A = bh (both sides of the rectangle)

17. Volume of a cylinder
V = (1/3)bh (where b is the area of the base figure)
V= pir^2h
(degree/360) x 2pir
D^2 = 4r^2 + h^2 (pythagorean theorem)

18. Area of a sector
Prime number (2 is only even prime number - 1 and 0 are not prime)
Or
The angle is a right angle
(degree/360) x pir^2

19. Percent increase
V = (1/3)bh (where b is the area of the base figure)
V = (1/3)pir^2h
Original x (1 + rate)^number of changes
V = s^3

20. Volume of a cube
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = (1/3)pir^2h
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Right angle formed from height radius and slant

21. Long diagonal of a cylinder
D^2 = 4r^2 + h^2 (pythagorean theorem)
V = (1/3)bh (where b is the area of the base figure)
Distance / rate
Sphere (same radii)

22. Area of a triangle (trig)
A = 1/2absinx (where x is included angle of sides a and b)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
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)

23. Right triangle rotated around one leg
Cone
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)
V = s^3

24. Surface area of a rectangular solid
(degree/360) x pir^2
1. all sides are same length 2. all angles are same size
Right angle formed from height radius and slant
SA = 2lw + 2hw + 2lh

25. Sum of Angle formula (regular polygons)
SA = pirl + pir^2 (where l is slant of cone)
And
(degree/360) x pir^2
(n-2)180 (divide this by n to find individual angle measures)

26. Relation between central angle and minor arc
Cylinder
1. two equal sides 2. two equal angles of those sides
Original x (1 - rate)^number of changes
Both will be same fraction of circle (60 degrees = 1/6 of circle)

27. (x-y)^2
x^2 - 2xy + y^2
A = 1/2absinx (where x is included angle of sides a and b)
Cone
Sphere (same radii)

28. What two triangles compose a square?
SA 4pir^2
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
x^2 + 2xy + y^2
1. two equal sides 2. two equal angles of those sides

29. a shape that is in another shape - placed inside that shape with tightest fit possible
V= pir^2h
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)
Inscribed

30. What do you use to solve for direct variation?
Inscribed
Prime number (2 is only even prime number - 1 and 0 are not prime)
Proportion (ratio is same)
(degree/360) x 2pir

31. Main property of a cone
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Right angle formed from height radius and slant
1. two equal sides 2. two equal angles of those sides
C = 2pir (or C = pi x d)

32. Isosceles triangle rotated around axis of symmetry
V = (1/3)bh (where b is the area of the base figure)
(n-2)180 (divide this by n to find individual angle measures)
x^2 - y^2
Cone

33. Face diagonal of a cube
V = (1/3)pir^2h
Cylinder
Remainder (note all remainders are always integers)
F = sroot2

34. Cube or rectangular solid inscribed in a sphere
Original x (1 + rate)^number of changes
Long diagonal of solid is equal to diameter of sphere
(n-2)180 (divide this by n to find individual angle measures)
V= pir^2h

35. One property any angle inscribed in a semi-cricle has
Prime number (2 is only even prime number - 1 and 0 are not prime)
((amount change) / (original)) x 100
The angle is a right angle
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

36. Volume of a sphere
Both solids have same diameter
Cone
1. all sides are same length 2. all angles are same size
(4/3)pir^3

37. Sphere inscribed in a cylinder
Long diagonal of solid is equal to diameter of sphere
(degree/360) x pir^2
And
Both solids have same diameter

38. a shape drawn around another shape with the tighets fit possible
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Remainder (note all remainders are always integers)
C = 2pir (or C = pi x d)
Circumscribed

39. Volume of a rectangular solid
Both solids have same diameter
V = lwh
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 = bh (h is hight from base to vertex and creating a right angle)

40. Volume of a pyramid
Original x (1 + rate)^number of changes
V = (1/3)bh (where b is the area of the base figure)
SA 4pir^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)

41. Cylinder inscribed in a sphere

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42. Volume of a cube
Total = number of things x average
V = s^3
A = absinx (where x is the angle between sides a and b)
A = bh (h is hight from base to vertex and creating a right angle)

43. Surface area of a cube
SA = 6s^2
Or
V = s^3
Original x (1 + rate)^number of changes

44. Rectangle rotated around a central line or one side
Cone
Diameter of sphere is equal to length of cube's side
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Cylinder

45. Sphere inscribed in a cube

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46. 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)
((amount change) / (original)) x 100
V = lwh
Circumscribed

47. Area of a trapezoid
And
A = h/2 (b1 + b2)
Proportion (ratio is same)
V = lwh

48. Surface area of a cylinder
A = absinx (where x is the angle between sides a and b)
Multiplication (product is same)
SA = 2pir^2 + 2pirh
Original x (1 + rate)^number of changes

49. Long diagonal of a cube
Circumscribed
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
A = h/2 (b1 + b2)
D = sroot3

50. length of an arc
V = lwh
(degree/360) x 2pir
Proportion (ratio is same)
(4/3)pir^3