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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. An integer that has exactly two distinct factors: itself and 1
1. two equal sides 2. two equal angles of those sides
Both solids have same diameter
Prime number (2 is only even prime number - 1 and 0 are not prime)
Total = number of things x average

2. What do you use to solve for indirect variation?
Total = number of things x average
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = (1/3)pir^2h
Multiplication (product is same)

3. Cylinder inscribed in a sphere

4. Area of a triangle (geometry)
A = 1/2bh
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
(degree/360) x 2pir

5. Volume of a sphere
(4/3)pir^3
(n-2)180 (divide this by n to find individual angle measures)
Circumscribed
Original x (1 + rate)^number of changes

6. 2 properties of regular polygon
1. all sides are same length 2. all angles are same size
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)
x^2 + 2xy + y^2

7. What 2 properties does an isosceles triangle have?
Original x (1 - rate)^number of changes
And
Total = number of things x average
1. two equal sides 2. two equal angles of those sides

8. Area of a trapezoid
(n-2)180 (divide this by n to find individual angle measures)
The angle is a right angle
1. two equal sides 2. two equal angles of those sides
A = h/2 (b1 + b2)

9. Area of a circle
The angle is a right angle
A= pir^2
V = lwh
Inscribed

10. Surface area of a sphere
And
(degree/360) x pir^2
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
SA 4pir^2

11. Sphere inscribed in a cylinder
Original x (1 - rate)^number of changes
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Both solids have same diameter
Multiplication (product is same)

12. Surface area of a rectangular solid
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
SA = 6s^2
((amount change) / (original)) x 100
SA = 2lw + 2hw + 2lh

13. Relation between inscribed angle and minor arc
SA = pirl + pir^2 (where l is slant of cone)
Diameter of sphere is equal to length of cube's side
Long diagonal of solid is equal to diameter of sphere
Inscribed angle will be half of arc (and therefore half of central angle)

14. The integer left over after dividing two numbers
1. two equal sides 2. two equal angles of those sides
Remainder (note all remainders are always integers)
And
Both solids have same diameter

15. 2 additional properties of a rectangle
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
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
Inscribed angle will be half of arc (and therefore half of central angle)

16. Main property of a cone
A = 1/2absinx (where x is included angle of sides a and b)
Total = number of things x average
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Right angle formed from height radius and slant

17. Sum of Angle formula (regular polygons)
(n-2)180 (divide this by n to find individual angle measures)
The angle is a right angle
C = 2pir (or C = pi x d)
Cylinder

18. Volume of a cylinder
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)
V= pir^2h
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

19. Volume of a cube
C = 2pir (or C = pi x d)
D^2 = 4r^2 + h^2 (pythagorean theorem)
V = s^3
(4/3)pir^3

20. a shape that is in another shape - placed inside that shape with tightest fit possible
V = s^3
SA = 2pir^2 + 2pirh
Inscribed
Diameter of sphere is equal to length of cube's side

21. Surface area of a pyramid
x^2 - y^2
V= pir^2h
Sum of the area of each face (no definite equation)
SA 4pir^2

22. What two triangles compose a square?
Sum of the area of each face (no definite equation)
(degree/360) x pir^2
A = bh (h is hight from base to vertex and creating a right angle)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

23. Surface area of a cone
F = sroot2
Long diagonal of solid is equal to diameter of sphere
SA = pirl + pir^2 (where l is slant of cone)
1. two equal sides 2. two equal angles of those sides

24. Cube or rectangular solid inscribed in a sphere
1. all sides are same length 2. all angles are same size
Long diagonal of solid is equal to diameter of sphere
Sum of the area of each face (no definite equation)
D^2 = 4r^2 + h^2 (pythagorean theorem)

25. Rectangle rotated around a central line or one side
V= pir^2h
Inscribed
Long diagonal of solid is equal to diameter of sphere
Cylinder

26. (x-y)^2
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
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)
x^2 - 2xy + y^2

27. Average pie
Total = number of things x average
Sum of the area of each face (no definite equation)
Inscribed angle will be half of arc (and therefore half of central angle)
SA = 2lw + 2hw + 2lh

28. Percent change
Both solids have same diameter
((amount change) / (original)) x 100
C = 2pir (or C = pi x d)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

29. (x+y)^2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = lwh
x^2 + 2xy + y^2
Cylinder

30. 4 Properties of a parallelogram
SA = 6s^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
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

31. Area of a parallelogram (geometry)
A = bh (h is hight from base to vertex and creating a right angle)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = (1/3)pir^2h
Inscribed angle will be half of arc (and therefore half of central angle)

32. Volume of a rectangular solid
SA = 2pir^2 + 2pirh
Proportion (ratio is same)
V = lwh
Or

33. Long diagonal of a rectangular solid
A = bh (both sides of the rectangle)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
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)

34. In an inequality - what conjunction is used with greater than
Circumscribed
Or
Inscribed angle will be half of arc (and therefore half of central angle)
Both solids have same diameter

35. Area of a rectangle
V = s^3
SA = 2lw + 2hw + 2lh
A = 1/2absinx (where x is included angle of sides a and b)
A = bh (both sides of the rectangle)

36. length of an arc
Sphere (same radii)
(degree/360) x pir^2
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 2pir

37. Percent increase
Original x (1 + rate)^number of changes
Sum of the area of each face (no definite equation)
x^2 - 2xy + y^2
Remainder (note all remainders are always integers)

38. Time =
Diameter of sphere is equal to length of cube's side
Total = number of things x average
Sum of the area of each face (no definite equation)
Distance / rate

39. Circumference of a circle
V = (1/3)bh (where b is the area of the base figure)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
x^2 - y^2
C = 2pir (or C = pi x d)

40. Volume of a cube
Sum of the area of each face (no definite equation)
V = (1/3)pir^2h
(4/3)pir^3
Proportion (ratio is same)

41. Surface area of a cylinder
Remainder (note all remainders are always integers)
Diameter of sphere is equal to length of cube's side
D = sroot3
SA = 2pir^2 + 2pirh

42. One property any angle inscribed in a semi-cricle has
Inscribed angle will be half of arc (and therefore half of central angle)
SA = 2pir^2 + 2pirh
The angle is a right angle
A = bh (h is hight from base to vertex and creating a right angle)

43. Surface area of a cube
A = bh (h is hight from base to vertex and creating a right angle)
Cylinder
SA = 6s^2
Distance / rate

44. Volume of a pyramid
V = (1/3)bh (where b is the area of the base figure)
A = absinx (where x is the angle between sides a and b)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
1. all sides are same length 2. all angles are same size

45. What do you use to solve for direct variation?
V = (1/3)pir^2h
The angle is a right angle
Proportion (ratio is same)
Inscribed

46. Long diagonal of a cylinder
A = bh (h is hight from base to vertex and creating a right angle)
Total = number of things x average
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
D^2 = 4r^2 + h^2 (pythagorean theorem)

47. a shape drawn around another shape with the tighets fit possible
Long diagonal of solid is equal to diameter of sphere
Circumscribed
Cone
1. all sides are same length 2. all angles are same size

48. In an inequality - what conjunction is used with less than
And
SA = 6s^2
Both solids have same diameter
x^2 + 2xy + y^2

49. Two equations for Area of a square
Multiplication (product is same)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
1. two equal sides 2. two equal angles of those sides
Long diagonal of solid is equal to diameter of sphere

50. Area of a sector
The angle is a right angle
V = lwh
(degree/360) x pir^2
V= pir^2h