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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. Surface area of a rectangular solid
SA = 2lw + 2hw + 2lh
(degree/360) x pir^2
Diameter of sphere is equal to length of cube's side
x^2 - y^2

2. Area of a sector
(degree/360) x pir^2
((amount change) / (original)) x 100
A= pir^2
A = absinx (where x is the angle between sides a and b)

3. Isosceles triangle rotated around axis of symmetry
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Cone
V= pir^2h
Original x (1 + rate)^number of changes

4. One property any angle inscribed in a semi-cricle has
C = 2pir (or C = pi x d)
The angle is a right angle
A = 1/2bh
Sum of the area of each face (no definite equation)

5. Rectangle rotated around a central line or one side
A = bh (h is hight from base to vertex and creating a right angle)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Cylinder
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. Long diagonal of a rectangular solid
x^2 - 2xy + y^2
SA = 2pir^2 + 2pirh
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
V= pir^2h

7. Area of a triangle (trig)
A = 1/2absinx (where x is included angle of sides a and b)
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
D = sroot3
Distance / rate

8. Area of a rectangle
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A = bh (both sides of the rectangle)
Original x (1 - rate)^number of changes
Both solids have same diameter

9. Volume of a sphere
Sphere (same radii)
Long diagonal of solid is equal to diameter of sphere
V = s^3
(4/3)pir^3

10. Surface area of a cone
SA = pirl + pir^2 (where l is slant of cone)
Total = number of things x average
Distance / rate
D = sroot3

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

12. Surface area of a sphere
A = 1/2absinx (where x is included angle of sides a and b)
D = sroot3
Cone
SA 4pir^2

13. 2 properties of regular polygon
SA = pirl + pir^2 (where l is slant of cone)
A = 1/2absinx (where x is included angle of sides a and b)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
1. all sides are same length 2. all angles are same size

14. Sphere inscribed in a cube

15. Face diagonal of a cube
F = sroot2
A = h/2 (b1 + b2)
A = 1/2absinx (where x is included angle of sides a and b)
Long diagonal of solid is equal to diameter of sphere

16. 2 additional properties of a rectangle
C = 2pir (or C = pi x d)
A = bh (both sides of the rectangle)
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

17. Time =
Right angle formed from height radius and slant
D = sroot3
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
Distance / rate

18. Volume of a cube
V = (1/3)pir^2h
Original x (1 - rate)^number of changes
((amount change) / (original)) x 100
Original x (1 + rate)^number of changes

19. Volume of a cube
V = s^3
A = absinx (where x is the angle between sides a and b)
A= pir^2
C = 2pir (or C = pi x d)

20. a shape that is in another shape - placed inside that shape with tightest fit possible
Inscribed
Or
A = absinx (where x is the angle between sides a and b)
(4/3)pir^3

21. In an inequality - what conjunction is used with less than
F = sroot2
And
V= pir^2h
((amount change) / (original)) x 100

22. Area of a trapezoid
1. two equal sides 2. two equal angles of those sides
Both solids have same diameter
A = bh (both sides of the rectangle)
A = h/2 (b1 + b2)

23. What 2 properties does an isosceles triangle have?
A = bh (h is hight from base to vertex and creating a right angle)
A = absinx (where x is the angle between sides a and b)
1. two equal sides 2. two equal angles of those sides
Cone

24. In an inequality - what conjunction is used with greater than
Or
V = (1/3)pir^2h
(4/3)pir^3
Circumscribed

25. Cylinder inscribed in a sphere

26. 4 Properties of a parallelogram
Inscribed angle will be half of arc (and therefore half of central angle)
x^2 - 2xy + y^2
Cone
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

27. Main property of a cone
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
SA 4pir^2
Right angle formed from height radius and slant

28. Area of a triangle (geometry)
(degree/360) x 2pir
A = 1/2bh
The angle is a right angle
A = bh (h is hight from base to vertex and creating a right angle)

29. Volume of a rectangular solid
D^2 = 4r^2 + h^2 (pythagorean theorem)
V = lwh
Circumscribed
A = bh (h is hight from base to vertex and creating a right angle)

30. What do you use to solve for indirect variation?
D = sroot3
Prime number (2 is only even prime number - 1 and 0 are not prime)
F = sroot2
Multiplication (product is same)

31. Percent decrease
Original x (1 - rate)^number of changes
Diameter of sphere is equal to length of cube's side
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Distance / rate

32. What do you use to solve for direct variation?
Proportion (ratio is same)
Cylinder
Circumscribed
Multiplication (product is same)

33. Volume of a cylinder
Distance / rate
V= pir^2h
V = (1/3)pir^2h
x^2 - 2xy + y^2

34. Long diagonal of a cylinder
Inscribed angle will be half of arc (and therefore half of central angle)
D^2 = 4r^2 + h^2 (pythagorean theorem)
And
x^2 - y^2

35. Surface area of a pyramid
Or
Cone
Sum of the area of each face (no definite equation)
A= pir^2

36. Relation between inscribed angle and minor arc
Cone
Inscribed angle will be half of arc (and therefore half of central angle)
x^2 - 2xy + y^2
SA 4pir^2

37. Circumference of a circle
A = h/2 (b1 + b2)
Original x (1 - rate)^number of changes
C = 2pir (or C = pi x d)
Sum of the area of each face (no definite equation)

38. Surface area of a cylinder
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
SA = 2pir^2 + 2pirh
SA = 6s^2
Long diagonal of solid is equal to diameter of sphere

39. Sphere inscribed in a cylinder
Both solids have same diameter
V = (1/3)pir^2h
(4/3)pir^3
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

40. (x+y)(x-y)
Circumscribed
x^2 - y^2
(degree/360) x pir^2
Remainder (note all remainders are always integers)

41. (x+y)^2
D = sroot3
x^2 + 2xy + y^2
V = s^3
Distance / rate

42. length of an arc
A = bh (both sides of the rectangle)
Inscribed
Remainder (note all remainders are always integers)
(degree/360) x 2pir

43. Two equations for Area of a square
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V= pir^2h
Original x (1 - rate)^number of changes
1. all sides are same length 2. all angles are same size

44. Area of a parallelogram (geometry)
Remainder (note all remainders are always integers)
Cylinder
Both solids have same diameter
A = bh (h is hight from base to vertex and creating a right angle)

45. An integer that has exactly two distinct factors: itself and 1
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
D = sroot3
Original x (1 - rate)^number of changes
Prime number (2 is only even prime number - 1 and 0 are not prime)

46. (x-y)^2
Total = number of things x average
A = bh (h is hight from base to vertex and creating a right angle)
x^2 - 2xy + y^2
V = (1/3)pir^2h

47. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = h/2 (b1 + b2)
Or
x^2 - y^2

48. Area of a parallelogram (trig)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
A = absinx (where x is the angle between sides a and b)
Both solids have same diameter
Both will be same fraction of circle (60 degrees = 1/6 of circle)

49. What two triangles compose a square?
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Cone
x^2 + 2xy + y^2
Inscribed

50. Area of a circle
The angle is a right angle
A= pir^2
SA = 2pir^2 + 2pirh
SA 4pir^2