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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. Volume of a cylinder
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
V = (1/3)bh (where b is the area of the base figure)
Original x (1 - rate)^number of changes
V= pir^2h

2. Area of a trapezoid
x^2 - 2xy + y^2
A = h/2 (b1 + b2)
(4/3)pir^3
A = bh (both sides of the rectangle)

3. Area of a triangle (trig)
Proportion (ratio is same)
A = 1/2absinx (where x is included angle of sides a and b)
SA 4pir^2
Diameter of sphere is equal to length of cube's side

4. In an inequality - what conjunction is used with greater than
SA 4pir^2
Or
V = s^3
V = (1/3)pir^2h

5. Circumference of a circle
C = 2pir (or C = pi x d)
A = h/2 (b1 + b2)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = bh (h is hight from base to vertex and creating a right angle)

6. 2 properties of regular polygon
Remainder (note all remainders are always integers)
Prime number (2 is only even prime number - 1 and 0 are not prime)
1. all sides are same length 2. all angles are same size
Total = number of things x average

7. Relation between inscribed angle and minor arc
Distance / rate
Inscribed angle will be half of arc (and therefore half of central angle)
Total = number of things x average
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

8. Volume of a pyramid
SA = 6s^2
V = (1/3)pir^2h
V = (1/3)bh (where b is the area of the base figure)
Inscribed angle will be half of arc (and therefore half of central angle)

9. Surface area of a sphere
SA 4pir^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = bh (both sides of the rectangle)
Right angle formed from height radius and slant

10. Surface area of a rectangular solid
SA = 2lw + 2hw + 2lh
D = sroot3
Cone
Both solids have same diameter

11. Main property of a cone
Both solids have same diameter
A = 1/2bh
Right angle formed from height radius and slant
(4/3)pir^3

12. Area of a circle
F = sroot2
Distance / rate
A= pir^2
Prime number (2 is only even prime number - 1 and 0 are not prime)

13. Surface area of a pyramid
Sum of the area of each face (no definite equation)
Diameter of sphere is equal to length of cube's side
SA = 6s^2
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

14. Face diagonal of a cube
(4/3)pir^3
F = sroot2
Prime number (2 is only even prime number - 1 and 0 are not prime)
D^2 = 4r^2 + h^2 (pythagorean theorem)

15. An integer that has exactly two distinct factors: itself and 1
D^2 = 4r^2 + h^2 (pythagorean theorem)
Prime number (2 is only even prime number - 1 and 0 are not prime)
Sum of the area of each face (no definite equation)
A = 1/2bh

16. Volume of a rectangular solid
V = lwh
1. two equal sides 2. two equal angles of those sides
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

17. Percent decrease
Original x (1 - rate)^number of changes
Sum of the area of each face (no definite equation)
x^2 - y^2
((amount change) / (original)) x 100

18. Long diagonal of a cylinder
D^2 = 4r^2 + h^2 (pythagorean theorem)
x^2 + 2xy + y^2
Sum of the area of each face (no definite equation)
Long diagonal of solid is equal to diameter of sphere

19. The integer left over after dividing two numbers
Sphere (same radii)
A = 1/2absinx (where x is included angle of sides a and b)
A = absinx (where x is the angle between sides a and b)
Remainder (note all remainders are always integers)

20. Area of a rectangle
Inscribed
A = bh (both sides of the rectangle)
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)
Diameter of sphere is equal to length of cube's side

21. Sphere inscribed in a cylinder
Distance / rate
Inscribed angle will be half of arc (and therefore half of central angle)
Both solids have same diameter
Sphere (same radii)

22. (x-y)^2
(degree/360) x pir^2
x^2 - 2xy + y^2
D = sroot3
Long diagonal of solid is equal to diameter of sphere

23. Sum of Angle formula (regular polygons)
(n-2)180 (divide this by n to find individual angle measures)
A = 1/2absinx (where x is included angle of sides a and b)
x^2 - y^2
D^2 = 4r^2 + h^2 (pythagorean theorem)

24. Area of a sector
V = (1/3)pir^2h
1. two equal sides 2. two equal angles of those sides
F = sroot2
(degree/360) x pir^2

25. Average pie
A = 1/2bh
1. all sides are same length 2. all angles are same size
Total = number of things x average
Cylinder

26. Surface area of a cylinder
SA = 2pir^2 + 2pirh
Circumscribed
Right angle formed from height radius and slant
Sum of the area of each face (no definite equation)

27. Relation between central angle and minor arc
SA = 2lw + 2hw + 2lh
Prime number (2 is only even prime number - 1 and 0 are not prime)
A= pir^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)

28. Sphere inscribed in a cube

29. In an inequality - what conjunction is used with less than
x^2 - 2xy + y^2
And
A= pir^2
V = lwh

30. Cube or rectangular solid inscribed in a sphere
Cone
Long diagonal of solid is equal to diameter of sphere
Both solids have same diameter
V= pir^2h

31. Long diagonal of a cube
A = bh (both sides of the rectangle)
D = sroot3
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

32. Two equations for Area of a square
((amount change) / (original)) x 100
V = (1/3)bh (where b is the area of the base figure)
V = (1/3)pir^2h
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

33. 4 Properties of a parallelogram
SA 4pir^2
Or
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
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

34. 2 additional properties of a rectangle
Diameter of sphere is equal to length of cube's side
A = 1/2absinx (where x is included angle of sides a and b)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Distance / rate

35. Circle rotated around its diameter
D = sroot3
Sphere (same radii)
Proportion (ratio 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

36. Percent increase
And
x^2 - y^2
Original x (1 + rate)^number of changes
Sum of the area of each face (no definite equation)

37. Area of a parallelogram (geometry)
A = bh (h is hight from base to vertex and creating a right angle)
V= pir^2h
And
Original x (1 + rate)^number of changes

38. (x+y)(x-y)
V = (1/3)pir^2h
Sum of the area of each face (no definite equation)
The angle is a right angle
x^2 - y^2

39. Surface area of a cone
A = h/2 (b1 + b2)
SA = pirl + pir^2 (where l is slant of cone)
Remainder (note all remainders are always integers)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

40. Volume of a cube
The angle is a right angle
V = s^3
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
Original x (1 + rate)^number of changes

41. Area of a triangle (geometry)
Sphere (same radii)
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
A = 1/2bh

42. a shape drawn around another shape with the tighets fit possible
Circumscribed
Or
SA = 6s^2
Cone

43. Rectangle rotated around a central line or one side
Cylinder
The angle is a right angle
Right angle formed from height radius and slant
Circumscribed

44. One property any angle inscribed in a semi-cricle has
Right angle formed from height radius and slant
x^2 + 2xy + y^2
The angle is a right angle
A = 1/2absinx (where x is included angle of sides a and b)

45. length of an arc
x^2 - y^2
Circumscribed
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
(degree/360) x 2pir

46. What 2 properties does an isosceles triangle have?
SA = pirl + pir^2 (where l is slant of cone)
The angle is a right angle
Original x (1 - rate)^number of changes
1. two equal sides 2. two equal angles of those sides

47. Long diagonal of a rectangular solid
A = absinx (where x is the angle between sides a and b)
SA = 2pir^2 + 2pirh
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A = bh (h is hight from base to vertex and creating a right angle)

48. What do you use to solve for direct variation?
V = s^3
Inscribed angle will be half of arc (and therefore half of central angle)
V= pir^2h
Proportion (ratio is same)

49. Volume of a sphere
Cone
A = 1/2absinx (where x is included angle of sides a and b)
(4/3)pir^3
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

50. (x+y)^2
(4/3)pir^3
Diameter of sphere is equal to length of cube's side
x^2 + 2xy + y^2
A = h/2 (b1 + b2)