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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
Original x (1 + rate)^number of changes
SA = 6s^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Prime number (2 is only even prime number - 1 and 0 are not prime)

2. Sphere inscribed in a cylinder
Original x (1 + rate)^number of changes
Cone
A = 1/2bh
Both solids have same diameter

3. 4 Properties of a parallelogram
Right angle formed from height radius and slant
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
Cylinder
A = h/2 (b1 + b2)

4. Area of a parallelogram (geometry)
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)
Multiplication (product is same)
(n-2)180 (divide this by n to find individual angle measures)

5. Volume of a cylinder
The angle is a right angle
x^2 - y^2
V = (1/3)pir^2h
V= pir^2h

6. Area of a parallelogram (trig)
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
Sum of the area of each face (no definite equation)
x^2 - 2xy + y^2
A = absinx (where x is the angle between sides a and b)

7. (x+y)^2
Sum of the area of each face (no definite equation)
x^2 - y^2
x^2 + 2xy + y^2
A = 1/2bh

8. (x+y)(x-y)
Cone
V= pir^2h
x^2 - y^2
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

9. Right triangle rotated around one leg
(4/3)pir^3
1. all sides are same length 2. all angles are same size
Cone
Sphere (same radii)

10. What 2 properties does an isosceles triangle have?
Distance / rate
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)
Diameter of sphere is equal to length of cube's side
1. two equal sides 2. two equal angles of those sides

11. Volume of a pyramid
Original x (1 + rate)^number of changes
SA = 2lw + 2hw + 2lh
Sum of the area of each face (no definite equation)
V = (1/3)bh (where b is the area of the base figure)

12. Surface area of a sphere
Right angle formed from height radius and slant
SA 4pir^2
(n-2)180 (divide this by n to find individual angle measures)
SA = 6s^2

13. What do you use to solve for direct variation?
Proportion (ratio is same)
(degree/360) x pir^2
V = s^3
V = (1/3)bh (where b is the area of the base figure)

14. Average pie
SA = 6s^2
Prime number (2 is only even prime number - 1 and 0 are not prime)
SA 4pir^2
Total = number of things x average

15. Volume of a sphere
Right angle formed from height radius and slant
Both will be same fraction of circle (60 degrees = 1/6 of circle)
(4/3)pir^3
SA 4pir^2

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

17. Long diagonal of a rectangular solid
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Diameter of sphere is equal to length of cube's side
A = 1/2bh
Cone

18. Time =
Remainder (note all remainders are always integers)
x^2 - y^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Distance / rate

19. Surface area of a pyramid
Or
V= pir^2h
A = 1/2absinx (where x is included angle of sides a and b)
Sum of the area of each face (no definite equation)

20. Volume of a cube
V = lwh
V = (1/3)pir^2h
Original x (1 - rate)^number of changes
A = bh (h is hight from base to vertex and creating a right angle)

21. length of an arc
x^2 + 2xy + y^2
Prime number (2 is only even prime number - 1 and 0 are not prime)
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)
(degree/360) x 2pir

22. a shape drawn around another shape with the tighets fit possible
Circumscribed
Original x (1 - rate)^number of changes
x^2 + 2xy + y^2
A = 1/2bh

23. 2 additional properties of a rectangle
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)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
1. two equal sides 2. two equal angles of those sides
Distance / rate

24. The integer left over after dividing two numbers
Remainder (note all remainders are always integers)
Distance / rate
D^2 = 4r^2 + h^2 (pythagorean theorem)
V = (1/3)pir^2h

25. Relation between central angle and minor arc
Circumscribed
((amount change) / (original)) x 100
V = lwh
Both will be same fraction of circle (60 degrees = 1/6 of circle)

26. In an inequality - what conjunction is used with greater than
Or
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)
x^2 + 2xy + y^2

27. Percent increase
Original x (1 + rate)^number of changes
A = h/2 (b1 + b2)
Sum of the area of each face (no definite equation)
(degree/360) x pir^2

28. 2 properties of regular polygon
x^2 - y^2
1. all sides are same length 2. all angles are same size
Distance / rate
(degree/360) x pir^2

29. What two triangles compose a square?
Prime number (2 is only even prime number - 1 and 0 are not prime)
Cone
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

30. Area of a rectangle
A = bh (both sides of the rectangle)
V= pir^2h
(n-2)180 (divide this by n to find individual angle measures)
Original x (1 + rate)^number of changes

31. Percent decrease
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
V = lwh
Original x (1 - rate)^number of changes
((amount change) / (original)) x 100

32. a shape that is in another shape - placed inside that shape with tightest fit possible
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Inscribed
Sphere (same radii)
Remainder (note all remainders are always integers)

33. Surface area of a cube
Proportion (ratio is same)
SA = 6s^2
SA 4pir^2
Right angle formed from height radius and slant

34. Surface area of a rectangular solid
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
SA = 2lw + 2hw + 2lh
Multiplication (product is same)
(degree/360) x pir^2

35. Area of a triangle (geometry)
V = (1/3)bh (where b is the area of the base figure)
A = 1/2absinx (where x is included angle of sides a and b)
(degree/360) x 2pir
A = 1/2bh

36. Rectangle rotated around a central line or one side
Both solids have same diameter
SA = 6s^2
Cylinder
Sum of the area of each face (no definite equation)

37. In an inequality - what conjunction is used with less than
A = h/2 (b1 + b2)
And
SA = 2pir^2 + 2pirh
Original x (1 - rate)^number of changes

38. One property any angle inscribed in a semi-cricle has
Diameter of sphere is equal to length of cube's side
The angle is a right angle
Original x (1 + rate)^number of changes
Prime number (2 is only even prime number - 1 and 0 are not prime)

39. Volume of a cube
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
SA 4pir^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
V = s^3

40. Surface area of a cone
Sphere (same radii)
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
F = sroot2
SA = pirl + pir^2 (where l is slant of cone)

41. (x-y)^2
SA 4pir^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
Remainder (note all remainders are always integers)
x^2 - 2xy + y^2

42. Face diagonal of a cube
Remainder (note all remainders are always integers)
F = sroot2
A = h/2 (b1 + b2)
A= pir^2

43. Main property of a cone
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Original x (1 + rate)^number of changes
SA 4pir^2
Right angle formed from height radius and slant

44. Sphere inscribed in a cube

45. What do you use to solve for indirect variation?
Multiplication (product is same)
x^2 - 2xy + y^2
A= pir^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)

46. Area of a sector
(degree/360) x pir^2
SA 4pir^2
1. two equal sides 2. two equal angles of those sides
Diameter of sphere is equal to length of cube's side

47. Sum of Angle formula (regular polygons)
(n-2)180 (divide this by n to find individual angle measures)
(4/3)pir^3
SA = 2lw + 2hw + 2lh
(degree/360) x 2pir

48. Long diagonal of a cube
The angle is a right angle
Right angle formed from height radius and slant
D = sroot3
C = 2pir (or C = pi x d)

49. Surface area of a cylinder
((amount change) / (original)) x 100
A = h/2 (b1 + b2)
Remainder (note all remainders are always integers)
SA = 2pir^2 + 2pirh

50. Circumference of a circle
SA = 2lw + 2hw + 2lh
C = 2pir (or C = pi x d)
Circumscribed
Both solids have same diameter