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. In an inequality - what conjunction is used with greater than
SA = 6s^2
Both solids have same diameter
Or
Inscribed

2. Isosceles triangle rotated around axis of symmetry
Cone
Diameter of sphere is equal to length of cube's side
1. two equal sides 2. two equal angles of those sides
Original x (1 - rate)^number of changes

3. Face diagonal of a cube
SA = 2pir^2 + 2pirh
Total = number of things x average
(degree/360) x pir^2
F = sroot2

4. Area of a parallelogram (geometry)
Cone
A = bh (h is hight from base to vertex and creating a right angle)
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)

5. Sphere inscribed in a cylinder
A = absinx (where x is the angle between sides a and b)
Both solids have same diameter
Cone
SA = 2pir^2 + 2pirh

6. The integer left over after dividing two numbers
Remainder (note all remainders are always integers)
Prime number (2 is only even prime number - 1 and 0 are not prime)
Multiplication (product is same)
x^2 - 2xy + y^2

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

8. Percent increase
D = sroot3
Original x (1 + rate)^number of changes
Cylinder
Right angle formed from height radius and slant

9. Area of a sector
C = 2pir (or C = pi x d)
A = h/2 (b1 + b2)
Diameter of sphere is equal to length of cube's side
(degree/360) x pir^2

10. Long diagonal of a cylinder
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
D^2 = 4r^2 + h^2 (pythagorean theorem)
D = sroot3
V = lwh

11. Area of a triangle (trig)
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. 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 = 1/2absinx (where x is included angle of sides a and b)
SA = 2lw + 2hw + 2lh

12. Sum of Angle formula (regular polygons)
Long diagonal of solid is equal to diameter of sphere
(n-2)180 (divide this by n to find individual angle measures)
(degree/360) x 2pir
SA = 2lw + 2hw + 2lh

13. Time =
A = bh (both sides of the rectangle)
Distance / rate
1. all sides are same length 2. all angles are same size
Right angle formed from height radius and slant

14. Average pie
1. two equal sides 2. two equal angles of those sides
SA = 2pir^2 + 2pirh
(4/3)pir^3
Total = number of things x average

15. Relation between central angle and minor arc
Original x (1 + rate)^number of changes
Original x (1 - rate)^number of changes
Both will be same fraction of circle (60 degrees = 1/6 of circle)
Both solids have same diameter

16. Circumference of a circle
(n-2)180 (divide this by n to find individual angle measures)
C = 2pir (or C = pi x d)
A = bh (both sides of the rectangle)
V = (1/3)pir^2h

17. a shape that is in another shape - placed inside that shape with tightest 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)
A = 1/2bh
SA = 2lw + 2hw + 2lh
Inscribed

18. Percent decrease
Original x (1 - rate)^number of changes
SA 4pir^2
The angle is a right angle
SA = pirl + pir^2 (where l is slant of cone)

19. Area of a trapezoid
A = bh (h is hight from base to vertex and creating a right angle)
V = lwh
A = h/2 (b1 + b2)
Prime number (2 is only even prime number - 1 and 0 are not prime)

20. Area of a parallelogram (trig)
A = absinx (where x is the angle between sides a and b)
Multiplication (product is same)
(degree/360) x pir^2
A = 1/2bh

21. In an inequality - what conjunction is used with less than
And
Total = number of things x average
D^2 = 4r^2 + h^2 (pythagorean theorem)
A = 1/2absinx (where x is included angle of sides a and b)

22. Volume of a rectangular solid
A = 1/2absinx (where x is included angle of sides a and b)
SA 4pir^2
V = lwh
Long diagonal of solid is equal to diameter of sphere

23. Surface area of a cylinder
x^2 + 2xy + y^2
SA = 2pir^2 + 2pirh
D = sroot3
Circumscribed

24. Surface area of a rectangular solid
Both solids have same diameter
Total = number of things x average
D = sroot3
SA = 2lw + 2hw + 2lh

25. Long diagonal of a cube
Proportion (ratio is same)
SA = 6s^2
D = sroot3
V = s^3

26. What two triangles compose a square?
V = s^3
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
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
Right angle formed from height radius and slant

27. Percent change
1. two equal sides 2. two equal angles of those sides
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
((amount change) / (original)) x 100
A = absinx (where x is the angle between sides a and b)

28. Area of a triangle (geometry)
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
SA = 2pir^2 + 2pirh
Sum of the area of each face (no definite equation)
A = 1/2bh

29. Cube or rectangular solid inscribed in a sphere
1. all sides are same length 2. all angles are same size
Long diagonal of solid is equal to diameter of sphere
Diameter of sphere is equal to length of cube's side
Total = number of things x average

30. Area of a rectangle
And
A = bh (both sides of the rectangle)
V = (1/3)pir^2h
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

31. Surface area of a cone
A = bh (h is hight from base to vertex and creating a right angle)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
SA = pirl + pir^2 (where l is slant of cone)
Cone

32. Two equations for Area of a square
Diameter of sphere is equal to length of cube's side
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
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
D = sroot3

33. a shape drawn around another shape with the tighets fit possible
Long diagonal of solid is equal to diameter of sphere
SA = 2pir^2 + 2pirh
Circumscribed
x^2 + 2xy + y^2

34. Circle rotated around its diameter
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
A = absinx (where x is the angle between sides a and b)
Remainder (note all remainders are always integers)

35. Sphere inscribed in a cube

36. Relation between inscribed angle and minor arc
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
Inscribed angle will be half of arc (and therefore half of central angle)
Cylinder
(4/3)pir^3

37. Area of a circle
Or
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A= pir^2
Remainder (note all remainders are always integers)

38. Cylinder inscribed in a sphere

39. An integer that has exactly two distinct factors: itself and 1
V= pir^2h
Total = number of things x average
Prime number (2 is only even prime number - 1 and 0 are not prime)
Multiplication (product is same)

40. Surface area of a sphere
Distance / rate
Long diagonal of solid is equal to diameter of sphere
SA 4pir^2
V = (1/3)bh (where b is the area of the base figure)

41. What 2 properties does an isosceles triangle have?
Original x (1 + rate)^number of changes
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
Sum of the area of each face (no definite equation)

42. Volume of a cube
SA = 2lw + 2hw + 2lh
A = absinx (where x is the angle between sides a and b)
Or
V = (1/3)pir^2h

43. 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. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
(degree/360) x 2pir
Both solids have same diameter

44. (x+y)^2
x^2 + 2xy + y^2
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
1. all sides are same length 2. all angles are same size
A = absinx (where x is the angle between sides a and b)

45. Rectangle rotated around a central line or one side
Sum of the area of each face (no definite equation)
Cylinder
x^2 + 2xy + y^2
V = s^3

46. 2 additional properties of a rectangle
A = absinx (where x is the angle between sides a and b)
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Distance / rate
SA 4pir^2

47. (x+y)(x-y)
x^2 - y^2
A = 1/2absinx (where x is included angle of sides a and b)
Proportion (ratio is same)
Circumscribed

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

49. One property any angle inscribed in a semi-cricle has
The angle is a right angle
Prime number (2 is only even prime number - 1 and 0 are not prime)
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

50. Volume of a pyramid
A = h/2 (b1 + b2)
(degree/360) x 2pir
V = (1/3)pir^2h
V = (1/3)bh (where b is the area of the base figure)