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

2. Time =
(degree/360) x pir^2
Multiplication (product is same)
Distance / rate
1. two equal sides 2. two equal angles of those sides

3. Volume of a pyramid
C = 2pir (or C = pi x d)
V = (1/3)bh (where b is the area of the base figure)
Multiplication (product is same)
Total = number of things x average

4. (x+y)(x-y)
1. two equal sides 2. two equal angles of those sides
Sum of the area of each face (no definite equation)
x^2 - y^2
Distance / rate

5. Relation between inscribed angle and minor arc
C = 2pir (or C = pi x d)
Inscribed angle will be half of arc (and therefore half of central angle)
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

6. Rectangle rotated around a central line or one side
Cylinder
Prime number (2 is only even prime number - 1 and 0 are not prime)
Diameter of sphere is equal to length of cube's side
A = bh (both sides of the rectangle)

7. Isosceles triangle rotated around axis of symmetry
SA = 2lw + 2hw + 2lh
V= pir^2h
Cone
A = 1/2absinx (where x is included angle of sides a and b)

8. Volume of a sphere
A = bh (both sides of the rectangle)
(4/3)pir^3
SA 4pir^2
Sum of the area of each face (no definite equation)

9. Surface area of a cube
Inscribed angle will be half of arc (and therefore half of central angle)
Distance / rate
A = h/2 (b1 + b2)
SA = 6s^2

10. Surface area of a rectangular solid
Remainder (note all remainders are always integers)
SA = 2lw + 2hw + 2lh
Proportion (ratio is same)
V = s^3

11. In an inequality - what conjunction is used with less than
And
Sphere (same radii)
Prime number (2 is only even prime number - 1 and 0 are not prime)
Or

12. Sphere inscribed in a cube

13. Percent change
A = bh (h is hight from base to vertex and creating a right angle)
Both solids have same diameter
The angle is a right angle
((amount change) / (original)) x 100

14. length of an arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
(degree/360) x 2pir
Total = number of things x average
Inscribed angle will be half of arc (and therefore half of central angle)

15. Long diagonal of a cube
SA = 2lw + 2hw + 2lh
Inscribed
D = sroot3
V = s^3

16. Surface area of a cylinder
Inscribed angle will be half of arc (and therefore half of central angle)
SA = 2pir^2 + 2pirh
Both solids have same diameter
x^2 - 2xy + y^2

17. Face diagonal of a cube
Proportion (ratio is same)
SA = 2pir^2 + 2pirh
F = sroot2
Circumscribed

18. Average pie
Remainder (note all remainders are always integers)
A = bh (both sides of the rectangle)
Total = number of things x average
D = sroot3

19. Volume of a rectangular solid
Inscribed
Sum of the area of each face (no definite equation)
V = lwh
1. two equal sides 2. two equal angles of those sides

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

21. 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
1. two equal sides 2. two equal angles of those sides
V = (1/3)bh (where b is the area of the base figure)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

22. Relation between central angle and minor arc
Both will be same fraction of circle (60 degrees = 1/6 of circle)
SA = 2lw + 2hw + 2lh
A= pir^2
Cone

23. Long diagonal of a cylinder
(4/3)pir^3
SA = pirl + pir^2 (where l is slant of cone)
(degree/360) x pir^2
D^2 = 4r^2 + h^2 (pythagorean theorem)

24. Area of a rectangle
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
A = 1/2bh

25. Volume of a cylinder
x^2 - 2xy + y^2
V= pir^2h
V = s^3
Or

26. Percent increase
x^2 + 2xy + y^2
Right angle formed from height radius and slant
Original x (1 + rate)^number of changes
Both will be same fraction of circle (60 degrees = 1/6 of circle)

27. Volume of a cube
V = s^3
Sphere (same radii)
And
A = 1/2bh

28. What 2 properties does an isosceles triangle have?
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
Long diagonal of solid is equal to diameter of sphere
1. two equal sides 2. two equal angles of those sides

29. Sphere inscribed in a cylinder
Cone
SA 4pir^2
Both solids have same diameter
1. all sides are same length 2. all angles are same size

30. Percent decrease
Original x (1 - rate)^number of changes
Long diagonal of solid is equal to diameter of sphere
SA = 6s^2
(degree/360) x pir^2

31. One property any angle inscribed in a semi-cricle has
Distance / rate
Sum of the area of each face (no definite equation)
The angle is a right angle
V = (1/3)pir^2h

32. Two equations for Area of a square
1. all sides are same length 2. all angles are same size
D = sroot3
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Remainder (note all remainders are always integers)

33. Cylinder inscribed in a sphere

34. Surface area of a pyramid
Sum of the area of each face (no definite equation)
SA = 2lw + 2hw + 2lh
Inscribed
Prime number (2 is only even prime number - 1 and 0 are not prime)

35. What do you use to solve for direct variation?
Proportion (ratio is same)
1. all sides are same length 2. all angles are same size
Diameter of sphere is equal to length of cube's side
Both solids have same diameter

36. Surface area of a cone
SA = pirl + pir^2 (where l is slant of cone)
D^2 = 4r^2 + h^2 (pythagorean theorem)
Long diagonal of solid is equal to diameter of sphere
A = 1/2absinx (where x is included angle of sides a and b)

37. The integer left over after dividing two numbers
Inscribed
Original x (1 + rate)^number of changes
Remainder (note all remainders are always integers)
Multiplication (product is same)

38. Circumference of a circle
C = 2pir (or C = pi x d)
And
SA = 6s^2
Original x (1 - rate)^number of changes

39. Area of a sector
(degree/360) x pir^2
Total = number of things x average
1. all sides are same length 2. all angles are same size
And

40. Area of a triangle (geometry)
Inscribed angle will be half of arc (and therefore half of central angle)
Original x (1 - rate)^number of changes
A = 1/2absinx (where x is included angle of sides a and b)
A = 1/2bh

41. Main property of a cone
Original x (1 + rate)^number of changes
Right angle formed from height radius and slant
(degree/360) x pir^2
Diameter of sphere is equal to length of cube's side

42. Area of a parallelogram (geometry)
Or
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = bh (h is hight from base to vertex and creating a right angle)
x^2 - 2xy + y^2

43. Area of a circle
The angle is a right angle
A = bh (both sides of the rectangle)
A= pir^2
x^2 - 2xy + y^2

44. 2 additional properties of a rectangle
V = (1/3)pir^2h
Long diagonal of solid is equal to diameter of sphere
Cone
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

45. Area of a parallelogram (trig)
Inscribed
C = 2pir (or C = pi x d)
A = absinx (where x is the angle between sides a and b)
A = bh (h is hight from base to vertex and creating a right angle)

46. a shape drawn around another shape with the tighets fit possible
(degree/360) x pir^2
Or
Circumscribed
V= pir^2h

47. (x+y)^2
A= pir^2
x^2 + 2xy + y^2
V = s^3
(degree/360) x 2pir

48. What do you use to solve for indirect variation?
Long diagonal of solid is equal to diameter of sphere
A = h/2 (b1 + b2)
Multiplication (product is same)
Cone

49. Long diagonal of a rectangular solid
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
F = sroot2
(degree/360) x pir^2
Multiplication (product is same)

50. a shape that is in another shape - placed inside that shape with tightest fit possible
A = h/2 (b1 + b2)
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)
x^2 + 2xy + y^2
Inscribed