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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. Relation between central angle and minor arc
Original x (1 + rate)^number of changes
Both will be same fraction of circle (60 degrees = 1/6 of circle)
x^2 + 2xy + y^2
A = 1/2absinx (where x is included angle of sides a and b)

2. In an inequality - what conjunction is used with less than
x^2 + 2xy + y^2
SA = 2lw + 2hw + 2lh
And
D^2 = 4r^2 + h^2 (pythagorean theorem)

3. One property any angle inscribed in a semi-cricle has
The angle is a right angle
Cylinder
1. two equal sides 2. two equal angles of those sides
Or

4. Sphere inscribed in 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
(degree/360) x 2pir
(n-2)180 (divide this by n to find individual angle measures)
Both solids have same diameter

5. Average pie
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Cone
Original x (1 - rate)^number of changes
Total = number of things x average

6. (x-y)^2
Original x (1 + rate)^number of changes
x^2 - 2xy + y^2
SA 4pir^2
Inscribed

7. Volume of a pyramid
And
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
V = (1/3)bh (where b is the area of the base figure)
Inscribed

8. Surface area of a pyramid
(n-2)180 (divide this by n to find individual angle measures)
A = h/2 (b1 + b2)
Sum of the area of each face (no definite equation)
Proportion (ratio is same)

9. Percent change
((amount change) / (original)) x 100
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
x^2 + 2xy + y^2
1. all sides are same length 2. all angles are same size

10. Circle rotated around its diameter
Prime number (2 is only even prime number - 1 and 0 are not prime)
Sphere (same radii)
V = (1/3)bh (where b is the area of the base figure)
x^2 - y^2

11. The integer left over after dividing two numbers
Remainder (note all remainders are always integers)
SA = 2pir^2 + 2pirh
Long diagonal of solid is equal to diameter of sphere
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

12. Cube or rectangular solid inscribed in a sphere
SA 4pir^2
Long diagonal of solid is equal to diameter of sphere
Diameter of sphere is equal to length of cube's side
Or

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

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14. 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 = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = (1/3)pir^2h
Cone

15. Surface area of a cylinder
(degree/360) x pir^2
SA = 2pir^2 + 2pirh
Both solids have same diameter
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

16. Main property of a cone
Or
SA = pirl + pir^2 (where l is slant of cone)
x^2 - 2xy + y^2
Right angle formed from height radius and slant

17. Percent increase
Multiplication (product is same)
SA = 2pir^2 + 2pirh
A = bh (h is hight from base to vertex and creating a right angle)
Original x (1 + rate)^number of changes

18. a shape drawn around another shape with the tighets fit possible
A = 1/2bh
Original x (1 - rate)^number of changes
F = sroot2
Circumscribed

19. (x+y)^2
Original x (1 + rate)^number of changes
C = 2pir (or C = pi x d)
x^2 + 2xy + y^2
1. two equal sides 2. two equal angles of those sides

20. Surface area of a cube
A = bh (both sides of the rectangle)
(4/3)pir^3
SA = 6s^2
V = (1/3)bh (where b is the area of the base figure)

21. Long diagonal of a rectangular solid
((amount change) / (original)) x 100
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
SA = 2pir^2 + 2pirh
Remainder (note all remainders are always integers)

22. Isosceles triangle rotated around axis of symmetry
Multiplication (product is same)
Original x (1 + rate)^number of changes
Cone
Prime number (2 is only even prime number - 1 and 0 are not prime)

23. Two equations for Area of a square
A = h/2 (b1 + b2)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Multiplication (product is same)

24. Volume of a rectangular solid
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
F = sroot2
V = lwh
Proportion (ratio is same)

25. 2 properties of regular polygon
Original x (1 + rate)^number of changes
((amount change) / (original)) x 100
1. all sides are same length 2. all angles are same size
V= pir^2h

26. Sphere inscribed in a cube

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27. Time =
Sum of the area of each face (no definite equation)
D^2 = 4r^2 + h^2 (pythagorean theorem)
A = absinx (where x is the angle between sides a and b)
Distance / rate

28. Volume of a sphere
(4/3)pir^3
D^2 = 4r^2 + h^2 (pythagorean theorem)
x^2 + 2xy + y^2
A = bh (both sides of the rectangle)

29. Right triangle rotated around one leg
(degree/360) x 2pir
Both solids have same diameter
Inscribed
Cone

30. Surface area of a sphere
((amount change) / (original)) x 100
Sphere (same radii)
A = bh (h is hight from base to vertex and creating a right angle)
SA 4pir^2

31. What do you use to solve for direct variation?
Original x (1 + rate)^number of changes
Total = number of things x average
Proportion (ratio is same)
Long diagonal of solid is equal to diameter of sphere

32. Long diagonal of a cube
x^2 + 2xy + y^2
D = sroot3
1. two equal sides 2. two equal angles of those sides
Right angle formed from height radius and slant

33. Area of a triangle (geometry)
Total = number of things x average
A = 1/2bh
SA = 6s^2
A = absinx (where x is the angle between sides a and b)

34. Circumference of a circle
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)
SA = 2lw + 2hw + 2lh
V= pir^2h
C = 2pir (or C = pi x d)

35. What do you use to solve for indirect variation?
SA 4pir^2
Cone
Multiplication (product is same)
SA = 2pir^2 + 2pirh

36. Rectangle rotated around a central line or one side
Cylinder
x^2 - y^2
A = bh (h is hight from base to vertex and creating a right angle)
And

37. Cylinder inscribed in a sphere

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38. Area of a triangle (trig)
A = 1/2absinx (where x is included angle of sides a and b)
(4/3)pir^3
Total = number of things x average
x^2 - y^2

39. (x+y)(x-y)
x^2 - y^2
A = 1/2bh
SA = 2pir^2 + 2pirh
SA = pirl + pir^2 (where l is slant of cone)

40. Area of a parallelogram (trig)
Total = number of things x average
C = 2pir (or C = pi x d)
Right angle formed from height radius and slant
A = absinx (where x is the angle between sides a and b)

41. Relation between inscribed angle and minor arc
SA = 2lw + 2hw + 2lh
A = 1/2absinx (where x is included angle of sides a and b)
Total = number of things x average
Inscribed angle will be half of arc (and therefore half of central angle)

42. Area of a parallelogram (geometry)
SA = 2lw + 2hw + 2lh
A = bh (h is hight from base to vertex and creating a right angle)
(degree/360) x pir^2
A = absinx (where x is the angle between sides a and b)

43. Sum of Angle formula (regular polygons)
x^2 - y^2
Inscribed angle will be half of arc (and therefore half of central angle)
(4/3)pir^3
(n-2)180 (divide this by n to find individual angle measures)

44. Area of a trapezoid
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Cylinder
A = h/2 (b1 + b2)
Sphere (same radii)

45. Volume of a cylinder
V = (1/3)pir^2h
Both will be same fraction of circle (60 degrees = 1/6 of circle)
V= pir^2h
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

46. Area of a circle
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
((amount change) / (original)) x 100
A= pir^2
(degree/360) x pir^2

47. 4 Properties of a parallelogram
Cylinder
x^2 - 2xy + y^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
SA = 6s^2

48. Area of a rectangle
((amount change) / (original)) x 100
V = (1/3)pir^2h
SA = 2pir^2 + 2pirh
A = bh (both sides of the rectangle)

49. Percent decrease
Original x (1 - rate)^number of changes
SA = 6s^2
Sphere (same radii)
F = sroot2

50. What 2 properties does an isosceles triangle have?
And
A = 1/2absinx (where x is included angle of sides a and b)
1. two equal sides 2. two equal angles of those sides
Multiplication (product is same)