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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 rectangle
A = 1/2bh
(degree/360) x 2pir
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

2. Sum of Angle formula (regular polygons)
(n-2)180 (divide this by n to find individual angle measures)
Distance / rate
Diameter of sphere is equal to length of cube's side
SA = 2pir^2 + 2pirh

3. The integer left over after dividing two numbers
SA = pirl + pir^2 (where l is slant of cone)
Proportion (ratio is same)
Remainder (note all remainders are always integers)
The angle is a right angle

4. Right triangle rotated around one leg
Cone
1. two equal sides 2. two equal angles of those sides
(degree/360) x pir^2
Inscribed angle will be half of arc (and therefore half of central angle)

5. (x+y)(x-y)
x^2 - y^2
A = bh (h is hight from base to vertex and creating a right angle)
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

6. Sphere inscribed in a cylinder
Sum of the area of each face (no definite equation)
Both solids have same diameter
Or
1. all sides are same length 2. all angles are same size

7. Face diagonal of a cube
x^2 - y^2
Original x (1 - rate)^number of changes
F = sroot2
Cone

8. Surface area of a cube
SA = 6s^2
Remainder (note all remainders are always integers)
Total = number of things x average
Or

9. Volume of a cube
A = bh (h is hight from base to vertex and creating a right angle)
A = 1/2bh
V = s^3
V = lwh

10. In an inequality - what conjunction is used with less than
1. two equal sides 2. two equal angles of those sides
And
Remainder (note all remainders are always integers)
Circumscribed

11. Long diagonal of a cube
Both solids have same diameter
x^2 - y^2
D = sroot3
Cylinder

12. Relation between inscribed angle and minor arc
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Inscribed angle will be half of arc (and therefore half of central angle)
Cylinder
1. all sides are same length 2. all angles are same size

13. Volume of a pyramid
Cone
V = (1/3)bh (where b is the area of the base figure)
The angle is a right angle
And

14. Cylinder inscribed in a sphere

15. Area of a trapezoid
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Multiplication (product is same)
Cylinder
A = h/2 (b1 + b2)

16. Area of a triangle (trig)
A = 1/2bh
V = (1/3)pir^2h
A= pir^2
A = 1/2absinx (where x is included angle of sides a and b)

17. What two triangles compose a square?
(4/3)pir^3
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
(degree/360) x pir^2
A = 1/2bh

18. 2 properties of regular polygon
F = sroot2
Cone
1. all sides are same length 2. all angles are same size
V = (1/3)bh (where b is the area of the base figure)

19. What 2 properties does an isosceles triangle have?
Remainder (note all remainders are always integers)
Both solids have same diameter
(4/3)pir^3
1. two equal sides 2. two equal angles of those sides

20. (x+y)^2
x^2 - y^2
x^2 + 2xy + y^2
A = absinx (where x is the angle between sides a and b)
(4/3)pir^3

21. Volume of a cube
Remainder (note all remainders are always integers)
V = (1/3)pir^2h
Cone
SA 4pir^2

22. In an inequality - what conjunction is used with greater than
1. two equal sides 2. two equal angles of those sides
Or
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Right angle formed from height radius and slant

23. Percent change
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
((amount change) / (original)) x 100
Both solids have same diameter
The angle is a right angle

24. Two equations for Area of a square
x^2 + 2xy + y^2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
C = 2pir (or C = pi x d)
Sphere (same radii)

25. Average pie
Cone
Cylinder
Total = number of things x average
Sphere (same radii)

26. Rectangle rotated around a central line or one side
V = lwh
1. two equal sides 2. two equal angles of those sides
Cylinder
A = 1/2bh

27. Surface area of a rectangular solid
SA = 2lw + 2hw + 2lh
Circumscribed
((amount change) / (original)) x 100
1. two equal sides 2. two equal angles of those sides

28. Main property of a cone
Right angle formed from height radius and slant
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)
Both will be same fraction of circle (60 degrees = 1/6 of circle)

29. Volume of a sphere
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Circumscribed
Remainder (note all remainders are always integers)
(4/3)pir^3

30. Circumference of a circle
(degree/360) x 2pir
V = (1/3)bh (where b is the area of the base figure)
C = 2pir (or C = pi x d)
x^2 + 2xy + y^2

31. Long diagonal of a rectangular solid
A= pir^2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
C = 2pir (or C = pi x d)

32. Area of a parallelogram (trig)
A = h/2 (b1 + b2)
Right angle formed from height radius and slant
A = absinx (where x is the angle between sides a and b)
(degree/360) x pir^2

33. Cube or rectangular solid inscribed in a sphere
Diameter of sphere is equal to length of cube's side
Long diagonal of solid is equal to diameter of sphere
SA = 6s^2
(n-2)180 (divide this by n to find individual angle measures)

34. Area of a triangle (geometry)
Sphere (same radii)
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)
(degree/360) x pir^2
A = 1/2bh

35. Sphere inscribed in a cube

36. a shape that is in another shape - placed inside that shape with tightest fit possible
Total = number of things x average
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = 1/2bh
Inscribed

37. What do you use to solve for direct variation?
Diameter of sphere is equal to length of cube's side
x^2 - 2xy + y^2
Proportion (ratio is same)
Long diagonal of solid is equal to diameter of sphere

38. An integer that has exactly two distinct factors: itself and 1
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. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Sum of the area of each face (no definite equation)
Prime number (2 is only even prime number - 1 and 0 are not prime)

39. a shape drawn around another shape with the tighets fit possible
Right angle formed from height radius and slant
Circumscribed
1. all sides are same length 2. all angles are same size
A = 1/2absinx (where x is included angle of sides a and b)

40. (x-y)^2
Distance / rate
Right angle formed from height radius and slant
x^2 - 2xy + y^2
V = (1/3)pir^2h

41. Surface area of a cone
Or
SA = pirl + pir^2 (where l is slant of cone)
1. all sides are same length 2. all angles are same size
V= pir^2h

42. Volume of a cylinder
V= pir^2h
Both will be same fraction of circle (60 degrees = 1/6 of circle)
SA = 6s^2
A = 1/2absinx (where x is included angle of sides a and b)

43. Volume of a rectangular solid
Total = number of things x average
(4/3)pir^3
Prime number (2 is only even prime number - 1 and 0 are not prime)
V = lwh

44. Area of a circle
V = s^3
V = (1/3)bh (where b is the area of the base figure)
A= pir^2
x^2 + 2xy + y^2

45. Time =
(degree/360) x pir^2
A = bh (h is hight from base to vertex and creating a right angle)
Distance / rate
Long diagonal of solid is equal to diameter of sphere

46. Percent decrease
((amount change) / (original)) x 100
A = 1/2bh
D = sroot3
Original x (1 - rate)^number of changes

47. What do you use to solve for indirect variation?
Multiplication (product is same)
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)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Cylinder

48. Long diagonal of a cylinder
V = s^3
D^2 = 4r^2 + h^2 (pythagorean theorem)
(degree/360) x pir^2
x^2 + 2xy + y^2

49. Area of a parallelogram (geometry)
V = lwh
A = bh (h is hight from base to vertex and creating a right angle)
Inscribed angle will be half of arc (and therefore half of central angle)
C = 2pir (or C = pi x d)

50. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of 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)
Circumscribed
A = bh (h is hight from base to vertex and creating a right angle)