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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. (x-y)^2
(degree/360) x pir^2
Sum of the area of each face (no definite equation)
x^2 - 2xy + y^2
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

2. a shape that is in another shape - placed inside that shape with tightest fit possible
A = absinx (where x is the angle between sides a and b)
A = bh (both sides of the rectangle)
Long diagonal of solid is equal to diameter of sphere
Inscribed

3. Volume of a sphere
Cylinder
(4/3)pir^3
V = lwh
Original x (1 - rate)^number of changes

4. Surface area of a cone
Inscribed
SA = 2lw + 2hw + 2lh
Multiplication (product is same)
SA = pirl + pir^2 (where l is slant of cone)

5. Cylinder inscribed in a sphere

6. Percent increase
SA = pirl + pir^2 (where l is slant of cone)
Original x (1 + rate)^number of changes
Remainder (note all remainders are always integers)
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)

7. 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)
A = bh (both sides of the rectangle)
Cone
Or

8. Surface area of a sphere
SA 4pir^2
Original x (1 + rate)^number of changes
(degree/360) x 2pir
x^2 - y^2

9. Long diagonal of a cylinder
D^2 = 4r^2 + h^2 (pythagorean theorem)
V = lwh
(n-2)180 (divide this by n to find individual angle measures)
Both solids have same diameter

10. Average pie
Diameter of sphere is equal to length of cube's side
Right angle formed from height radius and slant
Circumscribed
Total = number of things x average

11. Surface area of a cylinder
(4/3)pir^3
D = sroot3
A = bh (both sides of the rectangle)
SA = 2pir^2 + 2pirh

12. Percent change
D^2 = 4r^2 + h^2 (pythagorean theorem)
((amount change) / (original)) x 100
x^2 - 2xy + y^2
Cone

13. Surface area of a pyramid
Multiplication (product is same)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
SA 4pir^2
Sum of the area of each face (no definite equation)

14. Volume of a cube
V = (1/3)pir^2h
V = lwh
1. two equal sides 2. two equal angles of those sides
A= pir^2

15. length of an arc
D^2 = 4r^2 + h^2 (pythagorean theorem)
(degree/360) x 2pir
Or
SA 4pir^2

16. In an inequality - what conjunction is used with less than
And
The angle is 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. Rectangle rotated around a central line or one side
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Cylinder
SA = 6s^2
((amount change) / (original)) x 100

18. Long diagonal of a cube
D = sroot3
(n-2)180 (divide this by n to find individual angle measures)
A = 1/2absinx (where x is included angle of sides a and b)
V= pir^2h

19. The integer left over after dividing two numbers
SA = pirl + pir^2 (where l is slant of cone)
SA 4pir^2
Remainder (note all remainders are always integers)
A = absinx (where x is the angle between sides a and b)

20. Time =
Remainder (note all remainders are always integers)
Distance / rate
Cylinder
V = lwh

21. 2 properties of regular polygon
A = 1/2bh
1. all sides are same length 2. all angles are same size
And
A = bh (h is hight from base to vertex and creating a right angle)

22. Area of a parallelogram (geometry)
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)
A = bh (h is hight from base to vertex and creating a right angle)
The angle is a right angle
SA = pirl + pir^2 (where l is slant of cone)

23. What 2 properties does an isosceles triangle have?
A = bh (h is hight from base to vertex and creating a right angle)
D = sroot3
1. two equal sides 2. two equal angles of those sides
Remainder (note all remainders are always integers)

24. What two triangles compose a square?
A = absinx (where x is the angle between sides a and b)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Multiplication (product is same)
(degree/360) x 2pir

25. Sum of Angle formula (regular polygons)
Prime number (2 is only even prime number - 1 and 0 are not prime)
Or
SA = 6s^2
(n-2)180 (divide this by n to find individual angle measures)

26. 2 additional properties 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
Total = number of things x average
A = bh (h is hight from base to vertex and creating a right angle)

27. (x+y)^2
Cylinder
x^2 + 2xy + y^2
F = sroot2
Right angle formed from height radius and slant

28. What do you use to solve for indirect variation?
D^2 = 4r^2 + h^2 (pythagorean theorem)
V = (1/3)bh (where b is the area of the base figure)
Long diagonal of solid is equal to diameter of sphere
Multiplication (product is same)

29. Volume of a cube
Both solids have same diameter
Prime number (2 is only even prime number - 1 and 0 are not prime)
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

30. Surface area of a rectangular solid
SA = 2lw + 2hw + 2lh
Cone
And
Inscribed angle will be half of arc (and therefore half of central angle)

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

32. Area of a trapezoid
A = h/2 (b1 + b2)
Or
F = sroot2
Remainder (note all remainders are always integers)

33. Volume of a pyramid
A = bh (both sides of the rectangle)
(4/3)pir^3
Or
V = (1/3)bh (where b is the area of the base figure)

34. Cube or rectangular solid inscribed in a sphere
F = sroot2
A = bh (h is hight from base to vertex and creating a right angle)
Long diagonal of solid is equal to diameter of sphere
Original x (1 - rate)^number of changes

35. Long diagonal of a rectangular solid
SA = 2lw + 2hw + 2lh
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Total = number of things x average
Both will be same fraction of circle (60 degrees = 1/6 of circle)

36. Circumference of a circle
C = 2pir (or C = pi x d)
(degree/360) x 2pir
1. all sides are same length 2. all angles are same size
A = 1/2absinx (where x is included angle of sides a and b)

37. Surface area of a cube
SA = 6s^2
A = bh (h is hight from base to vertex and creating a right angle)
The angle is a right angle
((amount change) / (original)) x 100

38. Volume of a rectangular solid
Right angle formed from height radius and slant
V = lwh
F = sroot2
Both will be same fraction of circle (60 degrees = 1/6 of circle)

39. Volume of a cylinder
V= pir^2h
Circumscribed
V = (1/3)bh (where b is the area of the base figure)
SA = 6s^2

40. Face diagonal of a cube
V= pir^2h
F = sroot2
A = bh (h is hight from base to vertex and creating a right angle)
(n-2)180 (divide this by n to find individual angle measures)

41. Sphere inscribed in a cylinder
Multiplication (product is same)
The angle is a right angle
Both solids have same diameter
Cone

42. a shape drawn around another shape with the tighets fit possible
A = h/2 (b1 + b2)
Sum of the area of each face (no definite equation)
D = sroot3
Circumscribed

43. Area of a rectangle
A = h/2 (b1 + b2)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Circumscribed
A = bh (both sides of the rectangle)

44. Two equations for Area of a square
V = (1/3)pir^2h
x^2 + 2xy + y^2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Both solids have same diameter

45. Area of a parallelogram (trig)
Sphere (same radii)
V = lwh
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)

46. In an inequality - what conjunction is used with greater than
Or
(4/3)pir^3
Sphere (same radii)
x^2 - y^2

47. 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
Inscribed
1. all sides are same length 2. all angles are same size
Both will be same fraction of circle (60 degrees = 1/6 of circle)

48. Main property of a cone
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A = absinx (where x is the angle between sides a and b)
Right angle formed from height radius and slant
SA = pirl + pir^2 (where l is slant of cone)

49. Sphere inscribed in a cube

50. Isosceles triangle rotated around axis of symmetry
Distance / rate
Multiplication (product is same)
Cone
A= pir^2