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. Area of a triangle (trig)
SA = 6s^2
A = 1/2absinx (where x is included angle of sides a and b)
Multiplication (product is same)
1. two equal sides 2. two equal angles of those sides

2. Volume of a rectangular solid
Sum of the area of each face (no definite equation)
V = (1/3)bh (where b is the area of the base figure)
A= pir^2
V = lwh

3. Sum of Angle formula (regular polygons)
C = 2pir (or C = pi x d)
Circumscribed
(n-2)180 (divide this by n to find individual angle measures)
Long diagonal of solid is equal to diameter of sphere

4. 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
(degree/360) x 2pir
SA 4pir^2

5. Area of a trapezoid
A = h/2 (b1 + b2)
V = (1/3)pir^2h
Long diagonal of solid is equal to diameter of sphere
1. all sides are same length 2. all angles are same size

6. Surface area of a rectangular solid
SA = 6s^2
Distance / rate
C = 2pir (or C = pi x d)
SA = 2lw + 2hw + 2lh

7. a shape that is in another shape - placed inside that shape with tightest fit possible
Inscribed
Long diagonal of solid is equal to diameter of sphere
The angle is a right angle
SA = pirl + pir^2 (where l is slant of cone)

8. Main property of a cone
x^2 - 2xy + y^2
Prime number (2 is only even prime number - 1 and 0 are not prime)
Right angle formed from height radius and slant
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

9. Relation between inscribed angle and minor arc
Inscribed angle will be half of arc (and therefore half of central angle)
A = bh (both sides of the rectangle)
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
x^2 + 2xy + y^2

10. Percent decrease
Inscribed angle will be half of arc (and therefore half of central angle)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Inscribed
Original x (1 - rate)^number of changes

11. (x+y)(x-y)
Distance / rate
Cone
x^2 - y^2
V = lwh

12. Volume of a cube
A = h/2 (b1 + b2)
V = (1/3)pir^2h
Prime number (2 is only even prime number - 1 and 0 are not prime)
(degree/360) x pir^2

13. Long diagonal of a cube
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
(n-2)180 (divide this by n to find individual angle measures)
Inscribed
D = sroot3

14. Volume of a cube
Inscribed angle will be half of arc (and therefore half of central angle)
x^2 - 2xy + y^2
V = s^3
C = 2pir (or C = pi x d)

15. Area of a circle
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A= pir^2
V = (1/3)bh (where b is the area of the base figure)
A = h/2 (b1 + b2)

16. What 2 properties does an isosceles triangle have?
A = bh (h is hight from base to vertex and creating a right angle)
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
V = (1/3)pir^2h

17. Average pie
Circumscribed
Total = number of things x average
Sphere (same radii)
Both will be same fraction of circle (60 degrees = 1/6 of circle)

18. Surface area of a cone
V = (1/3)pir^2h
SA = pirl + pir^2 (where l is slant of cone)
x^2 + 2xy + y^2
Multiplication (product is same)

19. a shape drawn around another shape with the tighets fit possible
SA 4pir^2
Circumscribed
((amount change) / (original)) x 100
V = s^3

20. What two triangles compose a square?
Original x (1 - rate)^number of changes
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
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
Both will be same fraction of circle (60 degrees = 1/6 of circle)

21. Area of a triangle (geometry)
A = 1/2bh
Right angle formed from height radius and slant
A = bh (both sides of the rectangle)
D = sroot3

22. Sphere inscribed in a cylinder
Circumscribed
Both solids have same diameter
Sum of the area of each face (no definite equation)
Or

23. Isosceles triangle rotated around axis of symmetry
Prime number (2 is only even prime number - 1 and 0 are not prime)
Or
Cone
Both solids have same diameter

24. Surface area of a pyramid
SA = 2lw + 2hw + 2lh
SA = pirl + pir^2 (where l is slant of cone)
Total = number of things x average
Sum of the area of each face (no definite equation)

25. Right triangle rotated around one leg
x^2 - 2xy + y^2
Cone
SA 4pir^2
Total = number of things x average

26. Area of a sector
And
(degree/360) x pir^2
V = s^3
Right angle formed from height radius and slant

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

28. Volume of a cylinder
V = (1/3)pir^2h
V= pir^2h
1. all sides are same length 2. all angles are same size
Both will be same fraction of circle (60 degrees = 1/6 of circle)

29. (x+y)^2
x^2 + 2xy + y^2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
x^2 - 2xy + y^2
x^2 - y^2

30. Long diagonal of a rectangular solid
Prime number (2 is only even prime number - 1 and 0 are not prime)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Total = number of things x average
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2

31. In an inequality - what conjunction is used with greater than
SA = pirl + pir^2 (where l is slant of cone)
SA = 2lw + 2hw + 2lh
Or
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)

32. Time =
1. two equal sides 2. two equal angles of those sides
Distance / rate
Sum of the area of each face (no definite equation)
V = s^3

33. Percent increase
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
Original x (1 + rate)^number of changes
Sum of the area of each face (no definite equation)
Long diagonal of solid is equal to diameter of sphere

34. Circle rotated around its diameter
SA = pirl + pir^2 (where l is slant of cone)
(4/3)pir^3
F = sroot2
Sphere (same radii)

35. 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
A = absinx (where x is the angle between sides a and b)
Distance / rate
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

36. Circumference of a circle
SA = 6s^2
C = 2pir (or C = pi x d)
Diameter of sphere is equal to length of cube's side
Cylinder

37. Rectangle rotated around a central line or one side
Cone
Sphere (same radii)
1. two equal sides 2. two equal angles of those sides
Cylinder

38. The integer left over after dividing two numbers
1. all sides are same length 2. all angles are same size
A = h/2 (b1 + b2)
Remainder (note all remainders are always integers)
(n-2)180 (divide this by n to find individual angle measures)

39. Cube or rectangular solid inscribed in a sphere
(degree/360) x pir^2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Long diagonal of solid is equal to diameter of sphere
Cone

40. length of an arc
V = lwh
(degree/360) x 2pir
SA = 6s^2
A = bh (h is hight from base to vertex and creating a right angle)

41. 2 additional properties of a rectangle
V= pir^2h
And
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
V = (1/3)pir^2h

42. Area of a rectangle
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = bh (both sides of the rectangle)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Distance / rate

43. Surface area of a cube
SA = 6s^2
Cylinder
V= pir^2h
Multiplication (product is same)

44. Area of a parallelogram (geometry)
Or
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
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)

45. What do you use to solve for indirect variation?
x^2 - y^2
Multiplication (product is same)
Long diagonal of solid is equal to diameter of sphere
D^2 = 4r^2 + h^2 (pythagorean theorem)

46. An integer that has exactly two distinct factors: itself and 1
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
Prime number (2 is only even prime number - 1 and 0 are not prime)
A= pir^2
((amount change) / (original)) x 100

47. Relation between central angle and minor arc
(n-2)180 (divide this by n to find individual angle measures)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
(degree/360) x pir^2
Remainder (note all remainders are always integers)

48. Two equations for Area of a square
Sum of the area of each face (no definite equation)
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Right angle formed from height radius and slant
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)

49. Volume of a pyramid
Cylinder
Original x (1 + rate)^number of changes
SA = 2lw + 2hw + 2lh
V = (1/3)bh (where b is the area of the base figure)

50. Sphere inscribed in a cube