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. What do you use to solve for direct variation?
Inscribed angle will be half of arc (and therefore half of central angle)
Right angle formed from height radius and slant
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Proportion (ratio is same)

2. Right triangle rotated around one leg
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Cone
D = sroot3
A = 1/2absinx (where x is included angle of sides a and b)

3. (x+y)(x-y)
x^2 - y^2
The angle is a right angle
V = lwh
D^2 = 4r^2 + h^2 (pythagorean theorem)

4. Circumference of a circle
C = 2pir (or C = pi x d)
The angle is a right angle
And
D = sroot3

5. Sphere inscribed in a cylinder
Long diagonal of solid is equal to diameter of sphere
Both solids have same diameter
Or
Cone

6. (x+y)^2
A = 1/2bh
x^2 + 2xy + y^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)
Long diagonal of solid is equal to diameter of sphere

7. An integer that has exactly two distinct factors: itself and 1
Original x (1 + rate)^number of changes
SA = pirl + pir^2 (where l is slant of cone)
D^2 = 4r^2 + h^2 (pythagorean theorem)
Prime number (2 is only even prime number - 1 and 0 are not prime)

8. Area of a circle
V = (1/3)bh (where b is the area of the base figure)
A= pir^2
D = sroot3
SA = pirl + pir^2 (where l is slant of cone)

9. Surface area of a rectangular solid
Both will be same fraction of circle (60 degrees = 1/6 of circle)
V = s^3
SA = 2lw + 2hw + 2lh
(degree/360) x 2pir

10. Long diagonal of a rectangular solid
Both solids have same diameter
Cone
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
SA = 2lw + 2hw + 2lh

11. Isosceles triangle rotated around axis of symmetry
Cone
Sphere (same radii)
Proportion (ratio is same)
Original x (1 - rate)^number of changes

12. Volume of a rectangular solid
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)
Multiplication (product is same)
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 = lwh

13. a shape drawn around another shape with the tighets fit possible
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. 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
Circumscribed
Or

14. Sum of Angle formula (regular polygons)
SA 4pir^2
A = h/2 (b1 + b2)
(n-2)180 (divide this by n to find individual angle measures)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

15. Cylinder inscribed in a sphere

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

16. Rectangle rotated around a central line or one side
SA = pirl + pir^2 (where l is slant of cone)
Cylinder
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. 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

17. Cube or rectangular solid inscribed in a sphere
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
Long diagonal of solid is equal to diameter of sphere
A = 1/2absinx (where x is included angle of sides a and b)
1. all sides are same length 2. all angles are same size

18. length of an arc
Cone
1. two equal sides 2. two equal angles of those sides
Circumscribed
(degree/360) x 2pir

19. Area of a sector
(degree/360) x pir^2
A = bh (h is hight from base to vertex and creating a right angle)
Distance / rate
V = s^3

20. What do you use to solve for indirect variation?
And
D = sroot3
Multiplication (product is same)
Diameter of sphere is equal to length of cube's side

21. 2 properties of regular polygon
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
1. all sides are same length 2. all angles are same size
SA = 2pir^2 + 2pirh
A = h/2 (b1 + b2)

22. Surface area of a pyramid
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
Sum of the area of each face (no definite equation)
A = 1/2bh

23. (x-y)^2
x^2 - 2xy + y^2
V = s^3
SA = 6s^2
D^2 = 4r^2 + h^2 (pythagorean theorem)

24. Volume of a cube
V = (1/3)pir^2h
A = 1/2bh
Or
V = (1/3)bh (where b is the area of the base figure)

25. Long diagonal of a cylinder
F = sroot2
SA = 2lw + 2hw + 2lh
D^2 = 4r^2 + h^2 (pythagorean theorem)
Sphere (same radii)

26. Circle rotated around its diameter
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 (same radii)
x^2 + 2xy + y^2
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

27. Volume of a cube
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
SA = pirl + pir^2 (where l is slant of cone)
1. two equal sides 2. two equal angles of those sides

28. Relation between central angle and minor arc
V = s^3
C = 2pir (or C = pi x d)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
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

29. In an inequality - what conjunction is used with greater than
V = lwh
((amount change) / (original)) x 100
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Or

30. Area of a triangle (geometry)
D = sroot3
A = absinx (where x is the angle between sides a and b)
V= pir^2h
A = 1/2bh

31. Sphere inscribed in a cube

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

32. Time =
The angle is a right angle
D^2 = 4r^2 + h^2 (pythagorean theorem)
(degree/360) x pir^2
Distance / rate

33. The integer left over after dividing two numbers
V = (1/3)pir^2h
x^2 - y^2
Cone
Remainder (note all remainders are always integers)

34. What two triangles compose a square?
A = bh (both sides of the rectangle)
1. all sides are same length 2. all angles are same size
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Both solids have same diameter

35. One property any angle inscribed in a semi-cricle has
x^2 + 2xy + y^2
The angle is a right angle
Multiplication (product is same)
Or

36. Long diagonal of a cube
Long diagonal of solid is equal to diameter of sphere
D = sroot3
A = absinx (where x is the angle between sides a and b)
1. two equal sides 2. two equal angles of those sides

37. Area of a trapezoid
x^2 - y^2
D = sroot3
A = h/2 (b1 + b2)
And

38. 4 Properties of a parallelogram
A = 1/2bh
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
(4/3)pir^3
Inscribed angle will be half of arc (and therefore half of central angle)

39. Surface area of a sphere
x^2 - 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
Original x (1 + rate)^number of changes
SA 4pir^2

40. Two equations for Area of a square
Inscribed angle will be half of arc (and therefore half of central angle)
A = bh (both sides of the rectangle)
A = h/2 (b1 + b2)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

41. Average pie
Original x (1 - rate)^number of changes
Total = number of things x average
Both solids have same diameter
(degree/360) x pir^2

42. What 2 properties does an isosceles triangle have?
Original x (1 + rate)^number of changes
V = (1/3)bh (where b is the area of the base figure)
Proportion (ratio is same)
1. two equal sides 2. two equal angles of those sides

43. Area of a parallelogram (trig)
A= pir^2
V = (1/3)pir^2h
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A = absinx (where x is the angle between sides a and b)

44. Volume of a cylinder
SA = pirl + pir^2 (where l is slant of cone)
C = 2pir (or C = pi x d)
V= pir^2h
Original x (1 - rate)^number of changes

45. Area of a rectangle
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
A = bh (both sides of the rectangle)
A= pir^2

46. 2 additional properties of a rectangle
Diameter of sphere is equal to length of cube's side
Sum of the area of each face (no definite equation)
V = s^3
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length

47. Main property of a cone
SA = 2lw + 2hw + 2lh
A = 1/2absinx (where x is included angle of sides a and b)
SA = 2pir^2 + 2pirh
Right angle formed from height radius and slant

48. Face diagonal of a cube
A = 1/2bh
A = 1/2absinx (where x is included angle of sides a and b)
V = lwh
F = sroot2

49. Volume of a sphere
V = (1/3)pir^2h
V = (1/3)bh (where b is the area of the base figure)
(4/3)pir^3
Total = number of things x average

50. Surface area of a cube
SA = 6s^2
Right angle formed from height radius and slant
Original x (1 - rate)^number of changes
C = 2pir (or C = pi x d)