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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
Circumscribed
1. all sides are same length 2. all angles are same size
Diameter of sphere is equal to length of cube's side

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

3. Area of a rectangle
Right angle formed from height radius and slant
A = bh (both sides of the rectangle)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Remainder (note all remainders are always integers)

4. Area of a parallelogram (trig)
F = sroot2
A = h/2 (b1 + b2)
A = absinx (where x is the angle between sides a and b)
Right angle formed from height radius and slant

5. Cube or rectangular solid inscribed in a sphere
Original x (1 + rate)^number of changes
(degree/360) x 2pir
Long diagonal of solid is equal to diameter of sphere
Right angle formed from height radius and slant

6. Circle rotated around its diameter
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Sphere (same radii)
SA 4pir^2
Or

7. a shape drawn around another shape with the tighets fit possible
Circumscribed
1. two equal sides 2. two equal angles of those sides
V= pir^2h
Right angle formed from height radius and slant

8. Isosceles triangle rotated around axis of symmetry
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
Inscribed
Or

9. What do you use to solve for direct variation?
Proportion (ratio is same)
1. two equal sides 2. two equal angles of those sides
A = bh (both sides of the rectangle)
Original x (1 - rate)^number of changes

10. (x+y)^2
SA = 2pir^2 + 2pirh
Sum of the area of each face (no definite equation)
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
x^2 + 2xy + y^2

11. Volume of a cylinder
A= pir^2
V= pir^2h
1. two equal sides 2. two equal angles of those sides
Prime number (2 is only even prime number - 1 and 0 are not prime)

12. 2 properties of regular polygon
1. all sides are same length 2. all angles are same size
Original x (1 + rate)^number of changes
Proportion (ratio is same)
D^2 = 4r^2 + h^2 (pythagorean theorem)

13. Circumference of a circle
A = 1/2absinx (where x is included angle of sides a and b)
C = 2pir (or C = pi x d)
x^2 - 2xy + y^2
A = h/2 (b1 + b2)

14. (x+y)(x-y)
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
Cylinder
A = h/2 (b1 + b2)
x^2 - y^2

15. Sum of Angle formula (regular polygons)
Sphere (same radii)
(n-2)180 (divide this by n to find individual angle measures)
Cone
Original x (1 - rate)^number of changes

16. Surface area of a pyramid
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
A = bh (h is hight from base to vertex and creating a right angle)
Sum of the area of each face (no definite equation)
A = 1/2absinx (where x is included angle of sides a and b)

17. 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
Circumscribed
1. all sides are same length 2. all angles are same size
(n-2)180 (divide this by n to find individual angle measures)

18. Volume of a cube
C = 2pir (or C = pi x d)
SA = pirl + pir^2 (where l is slant of cone)
V = lwh
V = s^3

19. Surface area of a cube
C = 2pir (or C = pi x d)
Remainder (note all remainders are always integers)
x^2 - 2xy + y^2
SA = 6s^2

20. What do you use to solve for indirect variation?
The angle is a right angle
Multiplication (product is same)
A= pir^2
A = 1/2bh

21. Percent change
A = absinx (where x is the angle between sides a and b)
Proportion (ratio is same)
((amount change) / (original)) x 100
Diameter of sphere is equal to length of cube's side

22. Area of a triangle (geometry)
A = 1/2bh
F = sroot2
x^2 + 2xy + y^2
V = (1/3)pir^2h

23. Percent increase
Or
C = 2pir (or C = pi x d)
A= pir^2
Original x (1 + rate)^number of changes

24. What 2 properties does an isosceles triangle have?
SA = 2pir^2 + 2pirh
1. two equal sides 2. two equal angles of those sides
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
C = 2pir (or C = pi x d)

25. 4 Properties of a parallelogram
1. all sides are same length 2. all angles are same size
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
1. two equal sides 2. two equal angles of those sides
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

26. Volume of a cube
A = absinx (where x is the angle between sides a and b)
A = 1/2bh
Both will be same fraction of circle (60 degrees = 1/6 of circle)
V = (1/3)pir^2h

27. The integer left over after dividing two numbers
Cylinder
SA = 6s^2
V= pir^2h
Remainder (note all remainders are always integers)

28. Long diagonal of a cube
Sum of the area of each face (no definite equation)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
D = sroot3
Prime number (2 is only even prime number - 1 and 0 are not prime)

29. Area of a circle
Distance / rate
x^2 - 2xy + y^2
A= pir^2
x^2 + 2xy + y^2

30. Relation between inscribed angle and minor arc
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
Inscribed angle will be half of arc (and therefore half of central angle)
V = s^3
SA = pirl + pir^2 (where l is slant of cone)

31. Surface area of a cylinder
Remainder (note all remainders are always integers)
SA = 2pir^2 + 2pirh
(degree/360) x pir^2
A = 1/2absinx (where x is included angle of sides a and b)

32. Two equations for Area of a square
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Cone
A = bh (h is hight from base to vertex and creating a right angle)
Remainder (note all remainders are always integers)

33. Volume of a rectangular solid
D = sroot3
(4/3)pir^3
V = lwh
SA 4pir^2

34. Volume of a sphere
Circumscribed
SA = 2lw + 2hw + 2lh
Inscribed
(4/3)pir^3

35. What two triangles compose a square?
D = sroot3
Inscribed
Cone
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

36. Sphere inscribed in a cylinder
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Both solids have same diameter
SA = 6s^2
Multiplication (product is same)

37. An integer that has exactly two distinct factors: itself and 1
Prime number (2 is only even prime number - 1 and 0 are not prime)
1. all sides are same length 2. all angles are same size
Distance / rate
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)

38. Area of a parallelogram (geometry)
Multiplication (product is same)
A = bh (h is hight from base to vertex and creating a right angle)
Circumscribed
A = h/2 (b1 + b2)

39. Sphere inscribed in a cube

40. Area of a sector
Cylinder
Circumscribed
(degree/360) x pir^2
V = (1/3)bh (where b is the area of the base figure)

41. In an inequality - what conjunction is used with less than
Both solids have same diameter
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)
And
1. all sides are same length 2. all angles are same size

42. Face diagonal of a cube
F = sroot2
A = bh (both sides of the rectangle)
A = h/2 (b1 + b2)
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

43. length of an arc
Both solids have same diameter
(degree/360) x 2pir
SA = pirl + pir^2 (where l is slant of cone)
A = bh (h is hight from base to vertex and creating a right angle)

44. Relation between central angle and minor arc
A = bh (both sides of the rectangle)
Long diagonal of solid is equal to diameter of sphere
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Or

45. Right triangle rotated around one leg
SA 4pir^2
V = (1/3)pir^2h
Cone
A = bh (h is hight from base to vertex and creating a right angle)

46. (x-y)^2
Remainder (note all remainders are always integers)
Multiplication (product is same)
x^2 - 2xy + y^2
V = lwh

47. 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)
Proportion (ratio is same)
Total = number of things x average
Inscribed

48. Percent decrease
(degree/360) x pir^2
A = bh (h is hight from base to vertex and creating a right angle)
D = sroot3
Original x (1 - rate)^number of changes

49. Cylinder inscribed in a sphere

50. Average pie
x^2 + 2xy + y^2
Total = number of things x average
Cone
(4/3)pir^3