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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. Time =
Diameter of sphere is equal to length of cube's side
F = sroot2
Distance / rate
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

2. Volume of a sphere
Both solids have same diameter
A = bh (h is hight from base to vertex and creating a right angle)
(4/3)pir^3
Cone

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

4. An integer that has exactly two distinct factors: itself and 1
Proportion (ratio is same)
(4/3)pir^3
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)

5. Isosceles triangle rotated around axis of symmetry
Multiplication (product is same)
x^2 + 2xy + y^2
x^2 - y^2
Cone

6. Rectangle rotated around a central line or one side
SA 4pir^2
SA = 6s^2
A = h/2 (b1 + b2)
Cylinder

7. Volume of a cylinder
V= pir^2h
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Multiplication (product is same)
V = lwh

8. Sphere inscribed in a cylinder
Or
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
The angle is a right angle

9. Volume of a cube
V = s^3
SA = 2lw + 2hw + 2lh
Original x (1 - rate)^number of changes
1. all sides are same length 2. all angles are same size

10. Surface area of a cylinder
F = sroot2
SA = 2pir^2 + 2pirh
V= pir^2h
SA = pirl + pir^2 (where l is slant of cone)

11. What 2 properties does an isosceles triangle have?
Original x (1 - rate)^number of changes
1. two equal sides 2. two equal angles of those sides
Inscribed angle will be half of arc (and therefore half of central angle)
Both solids have same diameter

12. In an inequality - what conjunction is used with less than
Multiplication (product is same)
And
Cylinder
V = lwh

13. 2 properties of regular polygon
1. all sides are same length 2. all angles are same size
Distance / rate
V = (1/3)pir^2h
x^2 - 2xy + y^2

14. The integer left over after dividing two numbers
Remainder (note all remainders are always integers)
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)
F = sroot2

15. Cylinder inscribed in a sphere

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16. a shape drawn around another shape with the tighets fit possible
Circumscribed
V = (1/3)pir^2h
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)

17. Area of a rectangle
A = bh (both sides of the rectangle)
(n-2)180 (divide this by n to find individual angle measures)
Proportion (ratio is same)
A= pir^2

18. Relation between inscribed angle and minor arc
Long diagonal of solid is equal to diameter of sphere
SA = pirl + pir^2 (where l is slant of cone)
Inscribed angle will be half of arc (and therefore half of central angle)
A = absinx (where x is the angle between sides a and b)

19. Cube or rectangular solid inscribed in a sphere
Cone
SA 4pir^2
Long diagonal of solid is equal to diameter of sphere
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

20. Area of a trapezoid
A = h/2 (b1 + b2)
(n-2)180 (divide this by n to find individual angle measures)
A = bh (h is hight from base to vertex and creating a right angle)
V = (1/3)bh (where b is the area of the base figure)

21. Surface area of a cube
V = lwh
A = bh (both sides of the rectangle)
SA = 6s^2
SA = 2lw + 2hw + 2lh

22. Area of a sector
(degree/360) x pir^2
SA = 2pir^2 + 2pirh
Inscribed
A = bh (h is hight from base to vertex and creating a right angle)

23. Percent decrease
x^2 - y^2
Original x (1 - rate)^number of changes
SA = 2pir^2 + 2pirh
A = h/2 (b1 + b2)

24. Two equations for Area of a square
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
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)
Original x (1 + rate)^number of changes

25. Surface area of a cone
V = (1/3)pir^2h
A = bh (both sides of the rectangle)
V = lwh
SA = pirl + pir^2 (where l is slant of cone)

26. Sphere inscribed in a cube

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27. What do you use to solve for direct variation?
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
1. two equal sides 2. two equal angles of those sides
Proportion (ratio is same)
(4/3)pir^3

28. What two triangles compose a square?
Remainder (note all remainders are always integers)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
A = absinx (where x is the angle between sides a and b)
(4/3)pir^3

29. Sum of Angle formula (regular polygons)
C = 2pir (or C = pi x d)
Cone
Diameter of sphere is equal to length of cube's side
(n-2)180 (divide this by n to find individual angle measures)

30. Area of a triangle (trig)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Total = number of things x average
A = h/2 (b1 + b2)
A = 1/2absinx (where x is included angle of sides a and b)

31. Average pie
Total = number of things x average
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Sphere (same radii)
Cone

32. Surface area of a rectangular solid
Distance / rate
1. all sides are same length 2. all angles are same size
Cone
SA = 2lw + 2hw + 2lh

33. What do you use to solve for indirect variation?
(4/3)pir^3
Cylinder
Multiplication (product is same)
Original x (1 - rate)^number of changes

34. Relation between central angle and minor arc
Long diagonal of solid is equal to diameter of sphere
Proportion (ratio is same)
Inscribed
Both will be same fraction of circle (60 degrees = 1/6 of circle)

35. Long diagonal of a cylinder
A = absinx (where x is the angle between sides a and b)
D^2 = 4r^2 + h^2 (pythagorean theorem)
V = lwh
SA 4pir^2

36. One property any angle inscribed in a semi-cricle has
Sum of the area of each face (no definite equation)
Circumscribed
A = absinx (where x is the angle between sides a and b)
The angle is a right angle

37. Surface area of a sphere
A= pir^2
Long diagonal of solid is equal to diameter of sphere
The angle is a right angle
SA 4pir^2

38. Right triangle rotated around one leg
Cone
A = 1/2absinx (where x is included angle of sides a and b)
V= pir^2h
(n-2)180 (divide this by n to find individual angle measures)

39. Area of a circle
Right angle formed from height radius and slant
A= pir^2
x^2 + 2xy + y^2
Remainder (note all remainders are always integers)

40. 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
V = s^3
Right angle formed from height radius and slant
And

41. Area of a parallelogram (geometry)
Inscribed
A = bh (h is hight from base to vertex and creating a right angle)
Circumscribed
V = (1/3)pir^2h

42. Volume of a cube
Or
The angle is a right angle
Both will be same fraction of circle (60 degrees = 1/6 of circle)
V = (1/3)pir^2h

43. a shape that is in another shape - placed inside that shape with tightest fit possible
Inscribed
x^2 - 2xy + y^2
SA = pirl + pir^2 (where l is slant of cone)
Original x (1 - rate)^number of changes

44. length of an arc
(degree/360) x 2pir
Total = number of things x average
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)
The angle is a right angle

45. Percent increase
1. all sides are same length 2. all angles are same size
Original x (1 + rate)^number of changes
Cone
Original x (1 - rate)^number of changes

46. Surface area of a pyramid
(degree/360) x 2pir
Sum of the area of each face (no definite equation)
SA = pirl + pir^2 (where l is slant of cone)
SA = 6s^2

47. Percent change
((amount change) / (original)) x 100
A = absinx (where x is the angle between sides a and b)
1. two equal sides 2. two equal angles of those sides
SA = 2pir^2 + 2pirh

48. Volume of a rectangular solid
V = lwh
x^2 + 2xy + y^2
The angle is a right angle
Cylinder

49. Circle rotated around its diameter
C = 2pir (or C = pi x d)
Both solids have same diameter
Sphere (same radii)
F = sroot2

50. Face diagonal of a cube
1. all sides are same length 2. all angles are same size
A = h/2 (b1 + b2)
F = sroot2
(n-2)180 (divide this by n to find individual angle measures)