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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 circle
A= pir^2
A = h/2 (b1 + b2)
Cone
Proportion (ratio is same)

2. What do you use to solve for indirect variation?
(n-2)180 (divide this by n to find individual angle measures)
C = 2pir (or C = pi x d)
D^2 = 4r^2 + h^2 (pythagorean theorem)
Multiplication (product is same)

3. Volume of a cube
V = (1/3)pir^2h
Right angle formed from height radius and slant
SA = 6s^2
V = lwh

4. The integer left over after dividing two numbers
Cylinder
(n-2)180 (divide this by n to find individual angle measures)
(degree/360) x 2pir
Remainder (note all remainders are always integers)

5. Circle rotated around its diameter
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Sphere (same radii)
((amount change) / (original)) x 100
A = absinx (where x is the angle between sides a and b)

6. Surface area of a rectangular solid
Inscribed
((amount change) / (original)) x 100
Inscribed angle will be half of arc (and therefore half of central angle)
SA = 2lw + 2hw + 2lh

7. What two triangles compose a square?
Both solids have same diameter
Remainder (note all remainders are always integers)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Cone

8. Area of a parallelogram (trig)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = (1/3)bh (where b is the area of the base figure)
Proportion (ratio is same)
A = absinx (where x is the angle between sides a and b)

9. Volume of a sphere
(4/3)pir^3
Long diagonal of solid is equal to diameter of sphere
SA = pirl + pir^2 (where l is slant of cone)
V = lwh

10. In an inequality - what conjunction is used with greater than
Or
A= pir^2
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
(n-2)180 (divide this by n to find individual angle measures)

11. Volume of a rectangular solid
(n-2)180 (divide this by n to find individual angle measures)
Cone
V = lwh
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

12. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Remainder (note all remainders are always integers)
The angle is a right angle
Long diagonal of solid is equal to diameter of sphere

13. Surface area of a cylinder
V = s^3
And
SA = 2pir^2 + 2pirh
A = bh (h is hight from base to vertex and creating a right angle)

14. Surface area of a cube
SA = 6s^2
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
D = sroot3
A = absinx (where x is the angle between sides a and b)

15. 2 properties of regular polygon
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)
1. all sides are same length 2. all angles are same size
1. two equal sides 2. two equal angles of those sides

16. Area of a triangle (trig)
SA = 2pir^2 + 2pirh
A = 1/2absinx (where x is included angle of sides a and b)
Prime number (2 is only even prime number - 1 and 0 are not prime)
A = bh (both sides of the rectangle)

17. Percent decrease
C = 2pir (or C = pi x d)
Diameter of sphere is equal to length of cube's side
Original x (1 - rate)^number of changes
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)

18. Right triangle rotated around one leg
x^2 + 2xy + y^2
Cone
Sum of the area of each face (no definite equation)
Both will be same fraction of circle (60 degrees = 1/6 of circle)

19. Surface area of a cone
The angle is a right angle
SA = pirl + pir^2 (where l is slant of cone)
Sum of the area of each face (no definite equation)
(4/3)pir^3

20. Area of a triangle (geometry)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
A = bh (both sides of the rectangle)
A = 1/2bh
F = sroot2

21. What do you use to solve for direct variation?
Proportion (ratio is same)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Cone
(degree/360) x pir^2

22. Time =
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
A= pir^2
Distance / rate
Multiplication (product is same)

23. (x+y)^2
x^2 + 2xy + y^2
SA = 2lw + 2hw + 2lh
V= pir^2h
SA = 6s^2

24. Surface area of a pyramid
SA = 6s^2
Sphere (same radii)
Sum of the area of each face (no definite equation)
V = lwh

25. Area of a sector
(degree/360) x pir^2
SA = 6s^2
(degree/360) x 2pir
The angle is a right angle

26. What 2 properties does an isosceles triangle have?
1. two equal sides 2. two equal angles of those sides
Both solids have same diameter
Distance / rate
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

27. Percent change
((amount change) / (original)) x 100
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
V = lwh
Total = number of things x average

28. Volume of a cube
V = s^3
((amount change) / (original)) x 100
Circumscribed
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

29. (x+y)(x-y)
x^2 - 2xy + y^2
D = sroot3
SA = 2lw + 2hw + 2lh
x^2 - y^2

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

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31. Cylinder inscribed in a sphere

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32. a shape drawn around another shape with the tighets fit possible
Original x (1 - rate)^number of changes
x^2 + 2xy + y^2
(degree/360) x pir^2
Circumscribed

33. In an inequality - what conjunction is used with less than
Cone
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
C = 2pir (or C = pi x d)
And

34. Rectangle rotated around a central line or one side
A = bh (h is hight from base to vertex and creating a right angle)
1. two equal sides 2. two equal angles of those sides
Cylinder
And

35. Long diagonal of a cylinder
V = s^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
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
D^2 = 4r^2 + h^2 (pythagorean theorem)

36. Long diagonal of a cube
A = bh (both sides of the rectangle)
Multiplication (product is same)
D = sroot3
Total = number of things x average

37. Sphere inscribed in a cylinder
A = bh (both sides of the rectangle)
Both solids have same diameter
Sum of the area of each face (no definite equation)
F = sroot2

38. Face diagonal of a cube
D = sroot3
Original x (1 + rate)^number of changes
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
F = sroot2

39. Two equations for Area of a square
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Inscribed
Prime number (2 is only even prime number - 1 and 0 are not prime)
The angle is a right angle

40. An integer that has exactly two distinct factors: itself and 1
(4/3)pir^3
Prime number (2 is only even prime number - 1 and 0 are not prime)
Cone
Cylinder

41. Area of a rectangle
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = bh (both sides of the rectangle)
SA = 2lw + 2hw + 2lh
Inscribed angle will be half of arc (and therefore half of central angle)

42. length of an arc
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
Cone
SA = 2lw + 2hw + 2lh
(degree/360) x 2pir

43. Sum of Angle formula (regular polygons)
(n-2)180 (divide this by n to find individual angle measures)
D^2 = 4r^2 + h^2 (pythagorean theorem)
Sphere (same radii)
V = s^3

44. Percent increase
C = 2pir (or C = pi x d)
Original x (1 + rate)^number of changes
(n-2)180 (divide this by n to find individual angle measures)
Sphere (same radii)

45. Isosceles triangle rotated around axis of symmetry
Cone
Inscribed angle will be half of arc (and therefore half of central angle)
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)
Proportion (ratio is same)

46. (x-y)^2
Cone
x^2 - 2xy + y^2
Inscribed angle will be half of arc (and therefore half of central angle)
Cylinder

47. Main property of a cone
Right angle formed from height radius and slant
D^2 = 4r^2 + h^2 (pythagorean theorem)
x^2 + 2xy + y^2
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

48. Cube or rectangular solid inscribed in a sphere
Remainder (note all remainders are always integers)
SA = pirl + pir^2 (where l is slant of cone)
1. two equal sides 2. two equal angles of those sides
Long diagonal of solid is equal to diameter of sphere

49. Area of a trapezoid
x^2 + 2xy + y^2
V = (1/3)pir^2h
A = h/2 (b1 + b2)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

50. One property any angle inscribed in a semi-cricle has
The angle is a right angle
x^2 - y^2
Sum of the area of each face (no definite equation)
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