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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. Volume of a sphere
V = (1/3)pir^2h
(4/3)pir^3
Proportion (ratio is same)
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)

2. Rectangle rotated around a central line or one side
Cylinder
x^2 - 2xy + y^2
Proportion (ratio is same)
Both solids have same diameter

3. Right triangle rotated around one leg
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Cone
1. two equal sides 2. two equal angles of those sides
SA = 2pir^2 + 2pirh

4. Surface area of a cylinder
Inscribed
V = (1/3)pir^2h
1. two equal sides 2. two equal angles of those sides
SA = 2pir^2 + 2pirh

5. Time =
And
Sum of the area of each face (no definite equation)
The angle is a right angle
Distance / rate

6. Relation between inscribed angle and minor arc
Cone
Inscribed angle will be half of arc (and therefore half of central angle)
V = lwh
Prime number (2 is only even prime number - 1 and 0 are not prime)

7. 2 additional properties of a rectangle
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
SA = 6s^2
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

8. Area of a parallelogram (trig)
(degree/360) x 2pir
A = 1/2absinx (where x is included angle of sides a and b)
A = absinx (where x is the angle between sides a and b)
And

9. Isosceles triangle rotated around axis of symmetry
A = bh (both sides of the rectangle)
(degree/360) x 2pir
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Cone

10. Volume of a cube
A = 1/2absinx (where x is included angle of sides a and b)
D = sroot3
V = s^3
Total = number of things x average

11. Area of a triangle (trig)
A = 1/2absinx (where x is included angle of sides a and b)
F = sroot2
And
Cone

12. a shape drawn around another shape with the tighets fit possible
Sphere (same radii)
Or
Circumscribed
V = (1/3)pir^2h

13. Volume of a cylinder
V= pir^2h
Remainder (note all remainders are always integers)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
V = (1/3)bh (where b is the area of the base figure)

14. Percent increase
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
((amount change) / (original)) x 100
Original x (1 + rate)^number of changes
1. two equal sides 2. two equal angles of those sides

15. The integer left over after dividing two numbers
Remainder (note all remainders are always integers)
A = 1/2absinx (where x is included angle of sides a and b)
Right angle formed from height radius and slant
SA = 2pir^2 + 2pirh

16. Volume of a cube
V = (1/3)pir^2h
(degree/360) x 2pir
(4/3)pir^3
((amount change) / (original)) x 100

17. Volume of a rectangular solid
(degree/360) x pir^2
Proportion (ratio is same)
Or
V = lwh

18. Area of a rectangle
A = bh (both sides of the rectangle)
SA 4pir^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Sum of the area of each face (no definite equation)

19. (x-y)^2
x^2 - 2xy + y^2
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 = h/2 (b1 + b2)
Long diagonal of solid is equal to diameter of sphere

20. Long diagonal of a cube
Inscribed
D = sroot3
V= pir^2h
Inscribed angle will be half of arc (and therefore half of central angle)

21. Average pie
(degree/360) x pir^2
Total = number of things x average
(4/3)pir^3
SA = pirl + pir^2 (where l is slant of cone)

22. length of an arc
V = s^3
(degree/360) x 2pir
A = h/2 (b1 + b2)
Prime number (2 is only even prime number - 1 and 0 are not prime)

23. In an inequality - what conjunction is used with less than
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
1. all sides are same length 2. all angles are same size
And
SA = pirl + pir^2 (where l is slant of cone)

24. Long diagonal of a rectangular solid
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
And
Distance / rate
(degree/360) x 2pir

25. 2 properties of regular polygon
Distance / rate
1. all sides are same length 2. all angles are same size
A = bh (h is hight from base to vertex and creating a right angle)
Original x (1 - rate)^number of changes

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

27. Sphere inscribed in a cylinder
Cylinder
Both solids have same diameter
SA 4pir^2
(degree/360) x pir^2

28. One property any angle inscribed in a semi-cricle has
A = bh (both sides of the rectangle)
SA = 6s^2
The angle is a right angle
SA = pirl + pir^2 (where l is slant of cone)

29. Percent decrease
Original x (1 - rate)^number of changes
SA = 6s^2
Right angle formed from height radius and slant
Diameter of sphere is equal to length of cube's side

30. Surface area of a sphere
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
SA 4pir^2
x^2 - 2xy + y^2
V = (1/3)pir^2h

31. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
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)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

32. Circle rotated around its diameter
Original x (1 - rate)^number of changes
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Sphere (same radii)
Circumscribed

33. a shape that is in another shape - placed inside that shape with tightest fit possible
Inscribed
Multiplication (product is same)
SA = 2pir^2 + 2pirh
D = sroot3

34. Area of a circle
A= pir^2
V = (1/3)pir^2h
Cone
And

35. Sphere inscribed in a cube

36. Surface area of a pyramid
Inscribed
Proportion (ratio is same)
Sum of the area of each face (no definite equation)
Both will be same fraction of circle (60 degrees = 1/6 of circle)

37. Area of a trapezoid
A = h/2 (b1 + b2)
(n-2)180 (divide this by n to find individual angle measures)
(degree/360) x pir^2
SA = 2lw + 2hw + 2lh

38. Cube or rectangular solid inscribed in a sphere
Long diagonal of solid is equal to diameter of sphere
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
A = h/2 (b1 + b2)

39. Circumference of a circle
C = 2pir (or C = pi x d)
SA = pirl + pir^2 (where l is slant of cone)
(4/3)pir^3
The angle is a right angle

40. 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
SA = 2lw + 2hw + 2lh
A = bh (h is hight from base to vertex and creating a right angle)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

41. What do you use to solve for direct variation?
V = (1/3)bh (where b is the area of the base figure)
V = s^3
Proportion (ratio is same)
Long diagonal of solid is equal to diameter of sphere

42. What do you use to solve for indirect variation?
Cylinder
V = s^3
Multiplication (product is same)
V = lwh

43. An integer that has exactly two distinct factors: itself and 1
Distance / rate
A = 1/2bh
Prime number (2 is only even prime number - 1 and 0 are not prime)
SA = 6s^2

44. Main property of a cone
Inscribed
Distance / rate
Cylinder
Right angle formed from height radius and slant

45. Percent change
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
And
((amount change) / (original)) x 100
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

46. (x+y)(x-y)
Both solids have same diameter
x^2 - y^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)
((amount change) / (original)) x 100

47. In an inequality - what conjunction is used with greater than
Multiplication (product is same)
Long diagonal of solid is equal to diameter of sphere
Or
(degree/360) x pir^2

48. What 2 properties does an isosceles triangle have?
And
SA 4pir^2
1. two equal sides 2. two equal angles of those sides
Right angle formed from height radius and slant

49. Area of a sector
Sum of the area of each face (no definite equation)
Cylinder
(degree/360) x pir^2
A = 1/2bh

50. Sum of Angle formula (regular polygons)
(n-2)180 (divide this by n to find individual angle measures)
Long diagonal of solid is equal to diameter of sphere
Distance / rate
A = bh (h is hight from base to vertex and creating a right angle)