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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 cube
x^2 - 2xy + y^2
Inscribed angle will be half of arc (and therefore half of central angle)
C = 2pir (or C = pi x d)
D = sroot3

2. Volume of a cube
(degree/360) x pir^2
x^2 - 2xy + y^2
C = 2pir (or C = pi x d)
V = (1/3)pir^2h

3. Percent change
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= pir^2
Cone
((amount change) / (original)) x 100

4. Main property of a cone
(degree/360) x 2pir
Right angle formed from height radius and slant
x^2 - y^2
SA = 2lw + 2hw + 2lh

5. Area of a rectangle
Circumscribed
C = 2pir (or C = pi x d)
A = bh (both sides of the rectangle)
V = s^3

6. Isosceles triangle rotated around axis of symmetry
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
Cone
V = (1/3)bh (where b is the area of the base figure)

7. Surface area of a cube
Total = number of things x average
((amount change) / (original)) x 100
F = sroot2
SA = 6s^2

8. Surface area of a cone
A= pir^2
SA = pirl + pir^2 (where l is slant of cone)
Circumscribed
A = h/2 (b1 + b2)

9. Circumference of a circle
A = bh (both sides of the rectangle)
SA = 2lw + 2hw + 2lh
1. all sides are same length 2. all angles are same size
C = 2pir (or C = pi x d)

10. In an inequality - what conjunction is used with greater than
Or
Inscribed
V = (1/3)bh (where b is the area of the base figure)
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)

11. Volume of a pyramid
Diameter of sphere is equal to length of cube's side
V = (1/3)bh (where b is the area of the base figure)
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 = 1/2bh

12. Volume of a cube
V = s^3
SA 4pir^2
D = sroot3
1. all sides are same length 2. all angles are same size

13. The integer left over after dividing two numbers
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Total = number of things x average
Remainder (note all remainders are always integers)
Cone

14. Volume of a rectangular solid
Remainder (note all remainders are always integers)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
And
V = lwh

15. Area of a parallelogram (trig)
Cylinder
Both will be same fraction of circle (60 degrees = 1/6 of circle)
D = sroot3
A = absinx (where x is the angle between sides a and b)

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

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17. What do you use to solve for direct variation?
Right angle formed from height radius and slant
Proportion (ratio is same)
A = 1/2bh
SA = pirl + pir^2 (where l is slant of cone)

18. Area of a triangle (trig)
Sphere (same radii)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
A = 1/2absinx (where x is included angle of sides a and b)
V = (1/3)pir^2h

19. Area of a trapezoid
((amount change) / (original)) x 100
A = 1/2absinx (where x is included angle of sides a and b)
V = (1/3)pir^2h
A = h/2 (b1 + b2)

20. Surface area of a rectangular solid
Both solids have same diameter
A= pir^2
SA = 6s^2
SA = 2lw + 2hw + 2lh

21. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = absinx (where x is the angle between sides a and b)
SA = pirl + pir^2 (where l is slant of cone)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

22. Volume of a sphere
(degree/360) x 2pir
A = bh (both sides of the rectangle)
(4/3)pir^3
Long diagonal of solid is equal to diameter of sphere

23. 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)
A = bh (both sides of the rectangle)
Remainder (note all remainders are always integers)
x^2 - y^2

24. Rectangle rotated around a central line or one side
Cylinder
Sphere (same radii)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
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)

25. a shape that is in another shape - placed inside that shape with tightest fit possible
A = bh (both sides of the rectangle)
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's diameter is equal to diagonal of rectangle formed by cylinder's height and diameter (other words - diagonal of cylinder equals sphere's diameter)
Inscribed

26. Long diagonal of a cylinder
D^2 = 4r^2 + h^2 (pythagorean theorem)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Multiplication (product is same)
Original x (1 + rate)^number of changes

27. Cube or rectangular solid inscribed in a sphere
(4/3)pir^3
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Long diagonal of solid is equal to diameter of sphere
1. two equal sides 2. two equal angles of those sides

28. Sphere inscribed in a cylinder
Circumscribed
Both solids have same diameter
SA 4pir^2
x^2 - 2xy + y^2

29. length of an arc
Long diagonal of solid is equal to diameter of sphere
(degree/360) x 2pir
SA = 2pir^2 + 2pirh
D = sroot3

30. 2 additional properties of a rectangle
1. two equal sides 2. two equal angles of those sides
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
V= pir^2h
1. all sides are same length 2. all angles are same size

31. Circle rotated around its diameter
SA = pirl + pir^2 (where l is slant of cone)
Sphere (same radii)
x^2 - 2xy + y^2
A = bh (h is hight from base to vertex and creating a right angle)

32. Volume of a cylinder
Right angle formed from height radius and slant
Circumscribed
A = 1/2absinx (where x is included angle of sides a and b)
V= pir^2h

33. Sphere inscribed in a cube

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34. Long diagonal of a rectangular solid
x^2 + 2xy + y^2
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
SA = 2lw + 2hw + 2lh
V = (1/3)bh (where b is the area of the base figure)

35. What two triangles compose a square?
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)
Distance / rate

36. Surface area of a cylinder
SA = 2pir^2 + 2pirh
A = bh (both sides of the rectangle)
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)

37. (x-y)^2
Sphere (same radii)
(4/3)pir^3
D^2 = 4r^2 + h^2 (pythagorean theorem)
x^2 - 2xy + y^2

38. Percent increase
Original x (1 + rate)^number of changes
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
SA = pirl + pir^2 (where l is slant of cone)
Circumscribed

39. (x+y)(x-y)
Right angle formed from height radius and slant
x^2 - y^2
Distance / rate
A = h/2 (b1 + b2)

40. Area of a triangle (geometry)
Multiplication (product is same)
A = 1/2bh
D = sroot3
Original x (1 + rate)^number of changes

41. One property any angle inscribed in a semi-cricle has
The angle is a right angle
1. two equal sides 2. two equal angles of those sides
Multiplication (product is same)
C = 2pir (or C = pi x d)

42. What do you use to solve for indirect variation?
Long diagonal of solid is equal to diameter of sphere
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
V = lwh

43. Sum of Angle formula (regular polygons)
Proportion (ratio is same)
(degree/360) x 2pir
Circumscribed
(n-2)180 (divide this by n to find individual angle measures)

44. Cylinder inscribed in a sphere

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45. Time =
A = 1/2bh
x^2 - 2xy + y^2
Distance / rate
Cone

46. Surface area of a pyramid
Sum of the area of each face (no definite equation)
1. two equal sides 2. two equal angles of those sides
(n-2)180 (divide this by n to find individual angle measures)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

47. Relation between inscribed angle and minor arc
(n-2)180 (divide this by n to find individual angle measures)
Inscribed
Or
Inscribed angle will be half of arc (and therefore half of central angle)

48. (x+y)^2
V = s^3
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
x^2 + 2xy + y^2
Circumscribed

49. In an inequality - what conjunction is used with less than
Both will be same fraction of circle (60 degrees = 1/6 of circle)
And
Distance / rate
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

50. Two equations for Area of a square
Total = number of things x average
(4/3)pir^3
Cone
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

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SAT Math Subject Test 1 And 2

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