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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. Main property of a cone
Right angle formed from height radius and slant
x^2 - y^2
F = sroot2
A = absinx (where x is the angle between sides a and b)

2. An integer that has exactly two distinct factors: itself and 1
F = sroot2
Distance / rate
x^2 + 2xy + y^2
Prime number (2 is only even prime number - 1 and 0 are not prime)

3. Face diagonal of a cube
Circumscribed
F = sroot2
(degree/360) x 2pir
1. all sides are same length 2. all angles are same size

4. What do you use to solve for indirect variation?
A = 1/2absinx (where x is included angle of sides a and b)
A = bh (both sides of the rectangle)
Multiplication (product is same)
Original x (1 + rate)^number of changes

5. Circumference of a circle
SA 4pir^2
C = 2pir (or C = pi x d)
Or
SA = 6s^2

6. Volume of a sphere
V = (1/3)bh (where b is the area of the base figure)
(4/3)pir^3
Original x (1 - rate)^number of changes
Both solids have same diameter

7. Area of a parallelogram (trig)
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
Both solids have same diameter
(n-2)180 (divide this by n to find individual angle measures)
A = absinx (where x is the angle between sides a and b)

8. 2 properties of regular polygon
1. all sides are same length 2. all angles are same size
Multiplication (product is same)
Both solids have same diameter
Or

9. 2 additional properties of a rectangle
V = (1/3)bh (where b is the area of the base figure)
A = bh (h is hight from base to vertex and creating a right angle)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Inscribed angle will be half of arc (and therefore half of central angle)

10. Sphere inscribed in a cylinder
SA = pirl + pir^2 (where l is slant of cone)
Both solids have same diameter
Original x (1 - rate)^number of changes
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

11. a shape drawn around another shape with the tighets fit possible
The angle is a right angle
Circumscribed
V = (1/3)pir^2h
x^2 + 2xy + y^2

12. What two triangles compose a square?
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
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
F = sroot2
D^2 = 4r^2 + h^2 (pythagorean theorem)

13. What 2 properties does an isosceles triangle have?
1. two equal sides 2. two equal angles of those sides
SA = 2pir^2 + 2pirh
Prime number (2 is only even prime number - 1 and 0 are not prime)
(n-2)180 (divide this by n to find individual angle measures)

14. Area of a trapezoid
Cone
Both will be same fraction of circle (60 degrees = 1/6 of circle)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
A = h/2 (b1 + b2)

15. The integer left over after dividing two numbers
And
Remainder (note all remainders are always integers)
A = bh (both sides of the rectangle)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

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

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17. Surface area of a cube
Cylinder
SA = 6s^2
Cone
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

18. Relation between inscribed angle and minor arc
Proportion (ratio is same)
D^2 = 4r^2 + h^2 (pythagorean theorem)
Inscribed angle will be half of arc (and therefore half of central angle)
Original x (1 + rate)^number of changes

19. length of an arc
(degree/360) x 2pir
A = bh (both sides of the rectangle)
A= pir^2
Both solids have same diameter

20. a shape that is in another shape - placed inside that shape with tightest fit possible
V = (1/3)bh (where b is the area of the base figure)
Inscribed
Right angle formed from height radius and slant
Cylinder

21. (x-y)^2
SA 4pir^2
Remainder (note all remainders are always integers)
x^2 - 2xy + y^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)

22. Area of a sector
A = h/2 (b1 + b2)
A = 1/2absinx (where x is included angle of sides a and b)
SA = 6s^2
(degree/360) x pir^2

23. Long diagonal of a cube
D = sroot3
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
(degree/360) x 2pir

24. Long diagonal of a rectangular solid
Inscribed angle will be half of arc (and therefore half of central angle)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
((amount change) / (original)) x 100
F = sroot2

25. Cylinder inscribed in a sphere

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26. Circle rotated around its diameter
SA = pirl + pir^2 (where l is slant of cone)
SA = 6s^2
Sphere (same radii)
(n-2)180 (divide this by n to find individual angle measures)

27. Volume of a rectangular solid
Both solids have same diameter
Both will be same fraction of circle (60 degrees = 1/6 of circle)
V = lwh
Long diagonal of solid is equal to diameter of sphere

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

29. Surface area of a pyramid
Multiplication (product is same)
Sum of the area of each face (no definite equation)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Inscribed

30. Percent change
((amount change) / (original)) x 100
Cone
x^2 - y^2
F = sroot2

31. Surface area of a cylinder
A = 1/2bh
A = bh (both sides of the rectangle)
SA = 2pir^2 + 2pirh
V = s^3

32. (x+y)(x-y)
Distance / rate
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
x^2 - y^2
A = absinx (where x is the angle between sides a and b)

33. Percent decrease
A= pir^2
Original x (1 - rate)^number of changes
Sum of the area of each face (no definite equation)
x^2 - y^2

34. Right triangle rotated around one leg
V = s^3
Cone
A = bh (h is hight from base to vertex and creating a right angle)
Total = number of things x average

35. Volume of a cube
D^2 = 4r^2 + h^2 (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
Long diagonal of solid is equal to diameter of sphere
V = s^3

36. Area of a parallelogram (geometry)
V = (1/3)pir^2h
A = bh (h is hight from base to vertex and creating a right angle)
Both solids have same diameter
((amount change) / (original)) x 100

37. In an inequality - what conjunction is used with greater than
Or
And
A = bh (h is hight from base to vertex and creating a right angle)
Total = number of things x average

38. 4 Properties of a parallelogram
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
A = 1/2absinx (where x is included angle of sides a and b)
(4/3)pir^3
Prime number (2 is only even prime number - 1 and 0 are not prime)

39. One property any angle inscribed in a semi-cricle has
Cylinder
The angle is a right angle
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
Both solids have same diameter

40. Volume of a pyramid
V = (1/3)bh (where b is the area of the base figure)
Total = number of things x average
Proportion (ratio is same)
V = (1/3)pir^2h

41. Surface area of a rectangular solid
A = bh (h is hight from base to vertex and creating a right angle)
Distance / rate
SA = pirl + pir^2 (where l is slant of cone)
SA = 2lw + 2hw + 2lh

42. Rectangle rotated around a central line or one side
A= pir^2
Cylinder
(4/3)pir^3
D = sroot3

43. Area of a rectangle
Circumscribed
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
V = lwh
A = bh (both sides of the rectangle)

44. Percent increase
A = bh (both sides of the rectangle)
Original x (1 + rate)^number of changes
Total = number of things x average
V= pir^2h

45. Area of a triangle (trig)
SA 4pir^2
D^2 = 4r^2 + h^2 (pythagorean theorem)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
A = 1/2absinx (where x is included angle of sides a and b)

46. Sum of Angle formula (regular polygons)
Inscribed angle will be half of arc (and therefore half of central angle)
Diameter of sphere is equal to length of cube's side
(n-2)180 (divide this by n to find individual angle measures)
Long diagonal of solid is equal to diameter of sphere

47. In an inequality - what conjunction is used with less than
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
And
Cylinder
Distance / rate

48. Two equations for Area of a square
Cone
V = s^3
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
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

49. Time =
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 = lwh
And
Distance / rate

50. Surface area of a cone
SA = pirl + pir^2 (where l is slant of cone)
Cylinder
Both will be same fraction of circle (60 degrees = 1/6 of circle)
D = sroot3