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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. (x+y)^2
x^2 + 2xy + y^2
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
x^2 - y^2
A = bh (both sides of the rectangle)

2. What do you use to solve for indirect variation?
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
A = 1/2bh
Original x (1 + rate)^number of changes
Multiplication (product is same)

3. Volume of a rectangular solid
SA = 2pir^2 + 2pirh
SA = 2lw + 2hw + 2lh
V = lwh
A= pir^2

4. Long diagonal of a cube
Inscribed angle will be half of arc (and therefore half of central 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
Cone
D = sroot3

5. Sum of Angle formula (regular polygons)
(n-2)180 (divide this by n to find individual angle measures)
Cylinder
(degree/360) x pir^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)

6. Relation between inscribed angle and minor arc
Diameter of sphere is equal to length of cube's side
F = sroot2
Inscribed angle will be half of arc (and therefore half of central angle)
Both will be same fraction of circle (60 degrees = 1/6 of circle)

7. (x+y)(x-y)
((amount change) / (original)) x 100
Sum of the area of each face (no definite equation)
x^2 - y^2
F = sroot2

8. Cube or rectangular solid inscribed in a sphere
Right angle formed from height radius and slant
Long diagonal of solid is equal to diameter of sphere
Sphere (same radii)
Inscribed angle will be half of arc (and therefore half of central angle)

9. What two triangles compose a square?
(degree/360) x 2pir
Diameter of sphere is equal to length of cube's side
A = bh (both sides of the rectangle)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

10. Sphere inscribed in a cylinder
Cylinder
Proportion (ratio is same)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Both solids have same diameter

11. One property any angle inscribed in a semi-cricle has
Inscribed angle will be half of arc (and therefore half of central angle)
The angle is a right angle
D^2 = 4r^2 + h^2 (pythagorean theorem)
D = sroot3

12. Rectangle rotated around a central line or one side
((amount change) / (original)) x 100
Cylinder
Right angle formed from height radius and slant
Both will be same fraction of circle (60 degrees = 1/6 of circle)

13. Surface area of a cylinder
Or
SA = 2pir^2 + 2pirh
Proportion (ratio is same)
C = 2pir (or C = pi x d)

14. Volume of a pyramid
V = (1/3)bh (where b is the area of the base figure)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Inscribed
(degree/360) x pir^2

15. Time =
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Distance / rate
A= pir^2
F = sroot2

16. Relation between central angle and minor arc
(degree/360) x pir^2
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)
Or

17. In an inequality - what conjunction is used with greater than
Or
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
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 = s^3

18. Area of a parallelogram (trig)
SA = 6s^2
Cylinder
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)

19. Circle rotated around its diameter
x^2 - 2xy + y^2
Sphere (same radii)
Long diagonal of solid is equal to diameter of sphere
SA = 2lw + 2hw + 2lh

20. Volume of a cube
Multiplication (product is same)
V = (1/3)pir^2h
Proportion (ratio is same)
A = 1/2absinx (where x is included angle of sides a and b)

21. Long diagonal of a rectangular solid
1. all sides are same length 2. all angles are same size
((amount change) / (original)) x 100
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Circumscribed

22. Surface area of a pyramid
Sum of the area of each face (no definite equation)
(degree/360) x pir^2
Both solids have same diameter
A = 1/2absinx (where x is included angle of sides a and b)

23. Surface area of a cube
A = absinx (where x is the angle between sides a and b)
SA = 6s^2
C = 2pir (or C = pi x d)
SA = 2pir^2 + 2pirh

24. length of an arc
(degree/360) x 2pir
Sum of the area of each face (no definite equation)
Circumscribed
Remainder (note all remainders are always integers)

25. a shape that is in another shape - placed inside that shape with tightest fit possible
Inscribed
(degree/360) x pir^2
A = bh (both sides of the rectangle)
The angle is a right angle

26. Volume of a sphere
1. all sides are same length 2. all angles are same size
(4/3)pir^3
Both will be same fraction of circle (60 degrees = 1/6 of circle)
SA = 2lw + 2hw + 2lh

27. Area of a rectangle
A = bh (both sides of the rectangle)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
(n-2)180 (divide this by n to find individual angle measures)
Original x (1 - rate)^number of changes

28. (x-y)^2
V = (1/3)pir^2h
x^2 - 2xy + y^2
SA = 2pir^2 + 2pirh
Sum of the area of each face (no definite equation)

29. What 2 properties does an isosceles triangle have?
1. two equal sides 2. two equal angles of those sides
Remainder (note all remainders are always integers)
Distance / rate
Sum of the area of each face (no definite equation)

30. In an inequality - what conjunction is used with less than
And
x^2 - y^2
x^2 + 2xy + y^2
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

31. Circumference of a circle
V = (1/3)bh (where b is the area of the base figure)
Right angle formed from height radius and slant
The angle is a right angle
C = 2pir (or C = pi x d)

32. Two equations for Area of a square
V = s^3
C = 2pir (or C = pi x d)
Remainder (note all remainders are always integers)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

33. Area of a triangle (trig)
V= pir^2h
A = 1/2absinx (where x is included angle of sides a and b)
A = bh (both sides of the rectangle)
Proportion (ratio is same)

34. Percent decrease
Original x (1 - rate)^number of changes
Distance / rate
Multiplication (product is same)
Long diagonal of solid is equal to diameter of sphere

35. Percent increase
Cylinder
Original x (1 + rate)^number of changes
Both solids have same diameter
Remainder (note all remainders are always integers)

36. 2 properties of regular polygon
Original x (1 + rate)^number of changes
1. all sides are same length 2. all angles are same size
Inscribed angle will be half of arc (and therefore half of central angle)
A= pir^2

37. a shape drawn around another shape with the tighets fit possible
Diameter of sphere is equal to length of cube's side
1. all sides are same length 2. all angles are same size
Total = number of things x average
Circumscribed

38. Area of a sector
(degree/360) x pir^2
Remainder (note all remainders are always integers)
Multiplication (product is same)
A = bh (h is hight from base to vertex and creating a right angle)

39. Area of a parallelogram (geometry)
Cone
Cone
A = bh (h is hight from base to vertex and creating a right angle)
D = sroot3

40. 4 Properties of a parallelogram
Sphere (same radii)
Cone
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

41. Cylinder inscribed in a sphere

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42. Volume of a cylinder
V= pir^2h
Sum of the area of each face (no definite equation)
Multiplication (product is same)
A = h/2 (b1 + b2)

43. 2 additional properties of a rectangle
The angle is a right angle
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Remainder (note all remainders are always integers)
A = bh (h is hight from base to vertex and creating a right angle)

44. Percent change
The angle is a right angle
1. two equal sides 2. two equal angles of those sides
((amount change) / (original)) x 100
Diameter of sphere is equal to length of cube's side

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

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46. Volume of a cube
V = s^3
D = sroot3
Or
F = sroot2

47. Surface area of a rectangular solid
V= pir^2h
SA = 2lw + 2hw + 2lh
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
Or

48. An integer that has exactly two distinct factors: itself and 1
C = 2pir (or C = pi x d)
The angle is a right angle
Prime number (2 is only even prime number - 1 and 0 are not prime)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

49. Surface area of a cone
SA = pirl + pir^2 (where l is slant of cone)
(degree/360) x pir^2
x^2 + 2xy + y^2
D^2 = 4r^2 + h^2 (pythagorean theorem)

50. Main property of a cone
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Original x (1 - rate)^number of changes
Right angle formed from height radius and slant
Distance / rate