Test your basic knowledge |

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. Long diagonal of a cube
Long diagonal of solid is equal to diameter of sphere
SA = pirl + pir^2 (where l is slant of cone)
D = sroot3
Diameter of sphere is equal to length of cube's side

2. Percent change
(n-2)180 (divide this by n to find individual angle measures)
((amount change) / (original)) x 100
Sphere (same radii)
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

3. (x+y)(x-y)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Original x (1 + rate)^number of changes
Total = number of things x average
x^2 - y^2

4. Circle rotated around its diameter
Long diagonal of solid is equal to diameter of sphere
Total = number of things x average
Sphere (same radii)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

5. Surface area of a cone
D = sroot3
SA = pirl + pir^2 (where l is slant of cone)
Cone
And

6. Long diagonal of a rectangular solid
And
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)
V = (1/3)bh (where b is the area of the base figure)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

7. Percent increase
(n-2)180 (divide this by n to find individual angle measures)
1. all sides are same length 2. all angles are same size
Original x (1 + rate)^number of changes
A = 1/2absinx (where x is included angle of sides a and b)

8. Sum of Angle formula (regular polygons)
Circumscribed
SA = 6s^2
(degree/360) x pir^2
(n-2)180 (divide this by n to find individual angle measures)

9. Volume of a cube
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Diameter of sphere is equal to length of cube's side
Or
V = (1/3)pir^2h

10. Time =
Distance / rate
((amount change) / (original)) x 100
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
(degree/360) x pir^2

11. (x-y)^2
A= pir^2
x^2 - 2xy + y^2
V = (1/3)bh (where b is the area of the base figure)
And

12. What do you use to solve for direct variation?
(degree/360) x 2pir
Proportion (ratio is same)
(degree/360) x pir^2
Both will be same fraction of circle (60 degrees = 1/6 of circle)

13. Volume of a sphere
(n-2)180 (divide this by n to find individual angle measures)
(4/3)pir^3
A= pir^2
D = sroot3

14. 4 Properties of a parallelogram
Long diagonal of solid is equal to diameter of 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
Both solids have same diameter
Proportion (ratio is same)

15. Percent decrease
V = (1/3)bh (where b is the area of the base figure)
Distance / rate
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

16. In an inequality - what conjunction is used with less than
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)
And
Distance / rate
The angle is a right angle

17. Volume of a pyramid
(4/3)pir^3
And
Right angle formed from height radius and slant
V = (1/3)bh (where b is the area of the base figure)

18. Long diagonal of a cylinder
x^2 - y^2
SA = pirl + pir^2 (where l is slant of cone)
Cylinder
D^2 = 4r^2 + h^2 (pythagorean theorem)

19. Area of a trapezoid
Multiplication (product is same)
D = sroot3
x^2 - 2xy + y^2
A = h/2 (b1 + b2)

20. Area of a circle
A = 1/2bh
Inscribed angle will be half of arc (and therefore half of central angle)
A= pir^2
Long diagonal of solid is equal to diameter of sphere

21. One property any angle inscribed in a semi-cricle has
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
Or
The angle is a right angle
Distance / rate

22. Sphere inscribed in a cube

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

23. 2 additional properties of a rectangle
Proportion (ratio is same)
SA = 2lw + 2hw + 2lh
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
C = 2pir (or C = pi x d)

24. The integer left over after dividing two numbers
SA = pirl + pir^2 (where l is slant of cone)
(n-2)180 (divide this by n to find individual angle measures)
V = s^3
Remainder (note all remainders are always integers)

25. Area of a parallelogram (trig)
A = absinx (where x is the angle between sides a and b)
Distance / rate
SA = pirl + pir^2 (where l is slant of cone)
Cone

26. Surface area of a cube
Total = number of things x average
SA = 6s^2
1. two equal sides 2. two equal angles of those sides
D^2 = 4r^2 + h^2 (pythagorean theorem)

27. Sphere inscribed in a cylinder
Both solids have same diameter
x^2 - 2xy + y^2
(4/3)pir^3
Proportion (ratio is same)

28. a shape drawn around another shape with the tighets fit possible
Circumscribed
SA = 2lw + 2hw + 2lh
1. all sides are same length 2. all angles are same size
x^2 + 2xy + y^2

29. What two triangles compose a square?
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
SA 4pir^2
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
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)

30. Area of a triangle (trig)
((amount change) / (original)) x 100
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = bh (both sides of the rectangle)
A = 1/2absinx (where x is included angle of sides a and b)

31. Cube or rectangular solid inscribed in a sphere
Long diagonal of solid is equal to diameter of sphere
SA = 6s^2
A = bh (both sides of the rectangle)
A = 1/2bh

32. Face diagonal of a cube
V = (1/3)bh (where b is the area of the base figure)
SA 4pir^2
F = sroot2
SA = 2pir^2 + 2pirh

33. Area of a rectangle
Sum of the area of each face (no definite equation)
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 = bh (both sides of the rectangle)
Long diagonal of solid is equal to diameter of sphere

34. length of an arc
Distance / rate
A = h/2 (b1 + b2)
Diameter of sphere is equal to length of cube's side
(degree/360) x 2pir

35. Area of a parallelogram (geometry)
x^2 + 2xy + y^2
SA = pirl + pir^2 (where l is slant of cone)
A = bh (h is hight from base to vertex and creating a right angle)
((amount change) / (original)) x 100

36. Volume of a cube
Sphere (same radii)
D = sroot3
V = s^3
Original x (1 + rate)^number of changes

37. What do you use to solve for indirect variation?
Inscribed
SA = 6s^2
Multiplication (product is same)
C = 2pir (or C = pi x d)

38. Right triangle rotated around one leg
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Sphere (same radii)
Distance / rate
Cone

39. Surface area of a rectangular solid
Original x (1 - rate)^number of changes
F = sroot2
Right angle formed from height radius and slant
SA = 2lw + 2hw + 2lh

40. An integer that has exactly two distinct factors: itself and 1
The angle is a right angle
F = sroot2
Circumscribed
Prime number (2 is only even prime number - 1 and 0 are not prime)

41. Volume of a rectangular solid
Remainder (note all remainders are always integers)
Total = number of things x average
V = lwh
Multiplication (product is same)

42. 2 properties of regular polygon
Inscribed angle will be half of arc (and therefore half of central angle)
((amount change) / (original)) x 100
1. all sides are same length 2. all angles are same size
Sum of the area of each face (no definite equation)

43. Main property of a cone
Proportion (ratio is same)
Right angle formed from height radius and slant
F = sroot2
Total = number of things x average

44. Relation between inscribed angle and minor arc
SA = 2lw + 2hw + 2lh
A = bh (h is hight from base to vertex and creating a right angle)
Prime number (2 is only even prime number - 1 and 0 are not prime)
Inscribed angle will be half of arc (and therefore half of central angle)

45. Surface area of a cylinder
SA = 2pir^2 + 2pirh
1. all sides are same length 2. all angles are same size
V = s^3
V = lwh

46. a shape that is in another shape - placed inside that shape with tightest fit possible
Inscribed
SA 4pir^2
A = 1/2absinx (where x is included angle of sides a and b)
Distance / rate

47. Two equations for Area of a square
Inscribed
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Sum of the area of each face (no definite equation)
A = 1/2bh

48. Cylinder inscribed in a sphere

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

49. Surface area of a sphere
Prime number (2 is only even prime number - 1 and 0 are not prime)
1. all sides are same length 2. all angles are same size
V = (1/3)pir^2h
SA 4pir^2

50. Volume of a cylinder
1. two equal sides 2. two equal angles of those sides
V= pir^2h
C = 2pir (or C = pi x d)
Original x (1 - rate)^number of changes