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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. In an inequality - what conjunction is used with greater than
F = sroot2
Or
Both solids have same diameter
A = absinx (where x is the angle between sides a and b)

2. (x+y)^2
1. two equal sides 2. two equal angles of those sides
Remainder (note all remainders are always integers)
x^2 + 2xy + y^2
Proportion (ratio is same)

3. Area of a triangle (geometry)
V = lwh
A = bh (both sides of the rectangle)
A = bh (h is hight from base to vertex and creating a right angle)
A = 1/2bh

4. Surface area of a rectangular solid
C = 2pir (or C = pi x d)
(degree/360) x pir^2
SA = 2lw + 2hw + 2lh
A= pir^2

5. Surface area of a pyramid
V = (1/3)bh (where b is the area of the base figure)
Sum of the area of each face (no definite equation)
(n-2)180 (divide this by n to find individual angle measures)
Original x (1 - rate)^number of changes

6. Long diagonal of a cube
Prime number (2 is only even prime number - 1 and 0 are not prime)
D^2 = 4r^2 + h^2 (pythagorean theorem)
D = sroot3
A= pir^2

7. (x-y)^2
Cone
Multiplication (product is same)
x^2 - 2xy + y^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)

8. Volume of a pyramid
SA = 2pir^2 + 2pirh
V = (1/3)bh (where b is the area of the base figure)
Total = number of things x average
Cylinder

9. Rectangle rotated around a central line or one side
D^2 = 4r^2 + h^2 (pythagorean theorem)
(degree/360) x 2pir
Cylinder
(n-2)180 (divide this by n to find individual angle measures)

10. Cube or rectangular solid inscribed in a sphere
V = lwh
Long diagonal of solid is equal to diameter of sphere
Inscribed
(degree/360) x pir^2

11. Long diagonal of a rectangular solid
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Cylinder
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
V = lwh

12. length of an arc
(n-2)180 (divide this by n to find individual angle measures)
Remainder (note all remainders are always integers)
Cone
(degree/360) x 2pir

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

14. Main property of a cone
And
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Right angle formed from height radius and slant
Circumscribed

15. Area of a triangle (trig)
Total = number of things x average
((amount change) / (original)) x 100
A = 1/2absinx (where x is included angle of sides a and b)
(4/3)pir^3

16. 2 additional properties of a rectangle
Cone
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
V = (1/3)bh (where b is the area of the base figure)

17. Percent decrease
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Sum of the area of each face (no definite equation)
Original x (1 - rate)^number of changes
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

18. Circumference of a circle
C = 2pir (or C = pi x d)
Sphere (same radii)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
1. two equal sides 2. two equal angles of those sides

19. a shape that is in another shape - placed inside that shape with tightest fit possible
Sphere (same radii)
V = (1/3)bh (where b is the area of the base figure)
Inscribed
V = (1/3)pir^2h

20. Sphere inscribed in a cylinder
Both solids have same diameter
SA = pirl + pir^2 (where l is slant of cone)
x^2 - 2xy + y^2
Proportion (ratio is same)

21. The integer left over after dividing two numbers
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
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
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Remainder (note all remainders are always integers)

22. (x+y)(x-y)
x^2 - y^2
V = (1/3)bh (where b is the area of the base figure)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Inscribed angle will be half of arc (and therefore half of central angle)

23. What do you use to solve for direct variation?
A = 1/2absinx (where x is included angle of sides a and b)
Proportion (ratio is same)
x^2 - 2xy + y^2
Or

24. 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= pir^2
Circumscribed
Total = number of things x average

25. Right triangle rotated around one leg
And
Cone
Or
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 = 1/2bh
F = sroot2
V = (1/3)pir^2h
SA 4pir^2

27. Relation between inscribed angle and minor arc
(n-2)180 (divide this by n to find individual angle measures)
D = sroot3
Cylinder
Inscribed angle will be half of arc (and therefore half of central angle)

28. Isosceles triangle rotated around axis of symmetry
V = (1/3)pir^2h
D^2 = 4r^2 + h^2 (pythagorean theorem)
A = bh (both sides of the rectangle)
Cone

29. Circle rotated around its diameter
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Long diagonal of solid is equal to diameter of sphere
Sum of the area of each face (no definite equation)
Sphere (same radii)

30. Area of a sector
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
(degree/360) x pir^2
A = 1/2absinx (where x is included angle of sides a and b)
x^2 + 2xy + y^2

31. Cylinder inscribed in a sphere

32. Surface area of a cylinder
Proportion (ratio is same)
Inscribed
Cylinder
SA = 2pir^2 + 2pirh

33. Area of a parallelogram (trig)
Diameter of sphere is equal to length of cube's side
A = absinx (where x is the angle between sides a and b)
Sum of the area of each face (no definite equation)
And

34. Two equations for Area of a square
A = 1/2absinx (where x is included angle of sides a and b)
Cylinder
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)

35. Long diagonal of a cylinder
Diameter of sphere is equal to length of cube's side
D^2 = 4r^2 + h^2 (pythagorean theorem)
x^2 + 2xy + y^2
Sphere (same radii)

36. What do you use to solve for indirect variation?
SA = pirl + pir^2 (where l is slant of cone)
Multiplication (product is same)
Long diagonal of solid is equal to diameter of sphere
Total = number of things x average

37. Volume of a cylinder
x^2 + 2xy + y^2
A = bh (h is hight from base to vertex and creating a right angle)
Multiplication (product is same)
V= pir^2h

38. Average pie
Or
C = 2pir (or C = pi x d)
Cylinder
Total = number of things x average

39. a shape drawn around another shape with the tighets fit possible
C = 2pir (or C = pi x d)
Circumscribed
A = 1/2bh
Multiplication (product is same)

40. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Proportion (ratio is same)
V = (1/3)bh (where b is the area of the base figure)

41. Percent increase
V = (1/3)bh (where b is the area of the base figure)
F = sroot2
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Original x (1 + rate)^number of changes

42. Area of a trapezoid
Total = number of things x average
A = bh (h is hight from base to vertex and creating a right angle)
A = h/2 (b1 + b2)
V = (1/3)pir^2h

43. Volume of a cube
Sphere (same radii)
Cone
Proportion (ratio is same)
V = s^3

44. Face diagonal of a cube
Or
A = 1/2bh
F = sroot2
Total = number of things x average

45. Area of a circle
A= pir^2
Prime number (2 is only even prime number - 1 and 0 are not prime)
(degree/360) x 2pir
SA = 2lw + 2hw + 2lh

46. Volume of a 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
Both will be same fraction of circle (60 degrees = 1/6 of circle)
(4/3)pir^3
Long diagonal of solid is equal to diameter of sphere

47. Area of a rectangle
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
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
x^2 - 2xy + y^2

48. One property any angle inscribed in a semi-cricle has
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Diameter of sphere is equal to length of cube's side
V = (1/3)bh (where b is the area of the base figure)
The angle is a right angle

49. Surface area of a cube
Total = number of things x average
And
SA = 6s^2
(degree/360) x 2pir

50. Sphere inscribed in a cube