Index of

MATHCOUNTS -

August 2000

Prepared by

John Cocharo

Number Lesson

1 Square Two Digit Natural Number Ending in 5.

2 Square a Natural Number from 1 to 36.

3 Cube a Natural Number from 1 to 36.

4 Multiply Two Two-

5 Multiply Two Natural Numbers between 100 and 110.

6 Multiply Two Natural Numbers between 90 and 100.

7 Multiply a Natural Number between 100 and 110 by a Natural Number between 90 and 100.

8 Multiply by 11, 111, 101, 1001, ….

9 Square a Natural Number between 50 and 60.

10 Multiply Two Digit Natural Numbers with Same Decade, Sum of Units Digits = 10.

11 Multiply Two Digit Natural Numbers with Same Units, Sum of Tens Digits = 10.

12 Use FOIL to Multiply Two Two-

13 Multiply Two Mixed Numbers with = Whole Numbers and Fractions = 1.

14 Use FOIL to Multiply Mixed Numbers.

15 Use Additive Inverses and Multiplicative Inverses.

16 Find the Product of Two Mixed Numbers with the Same Fractions.

17 Find the Sum of Consecutive Natural Numbers 1 to n.

18 Find the Sum of Consecutive Natural Odd Numbers 1 to n.

19 Find the Sum of Consecutive Natural Even Numbers 1 to n.

20 Find the Sum of Reciprocals of Two Natural Numbers.

21 Generate Arithmetic Sequences.

22 Generate Geometric Sequences and Other Sequences.

23 Use PEMDAS.

24 Use the Weiwen Chen Method.

25 Multiply by 25, 12 1/2, 16 2/3, 33 1/3, ….

26 Divide by 25, 12 1/2, 16 2/3, 33 1/3, ….

27 Change from Some Base to Base 10.

28 Change from Base 10 to Another Base.

29 Change from Base 2 to Base 4, 8, 16, ….

30 Convert Roman Numerals.

31 Use A Continued Fraction Algorithm.

32 Use Ratio and Proportion.

33 Use Subsets of Sets.

34 Use Percents.

35 Find What Percent a Number is Greater than Another.

36 Convert Fahrenheit to/from Centigrade.

37 Find Simple Interest.

38 Find Rates of Change.

39 Find the Union and/or the Intersection of Sets.

40 Find the (Arithmetic) Mean of a Set of Data.

41 Find the Mode of a Set of Data.

42 Find the Median of a Set of Data.

43 Find the Range of a Set of Data.

44 Find the Geometric Mean of a Set of Data.

45 Find the Harmonic Mean of Two Numbers.

46 Find Factorials.

47 Find Permutations.

48 Find Combinations.

49 Estimate in Addition or Subtraction.

50 Estimate in Multiplication or Division.

51 Use Divisibility Rules for 2n Power.

52 Use Divisibility Rule for 5.

53 Use Divisibility Rule for 3, 37, ….

54 Use Divisibility Rule for 7, 11, 13, ….

55 Find GCF.

56 Find LCM.

57 Find Product of the GCF and the LCM of Two Numbers.

58 Find the Number of Factors of a Natural Number.

59 Find the Sum of the Factors of a Natural Number > 1.

60 Find the Sum of the Recipr+B2ocals of Factors of a Natural Number > 1.

61 Find Remainders.

62 Find Maximum Number not Covered by a Combination of Two Numbers.

63 Solve Path Problems.

64 Utilize Simple Radical Form.

65 Find the Probability of an Event.

66 Find the Odds of an Event.

67 Find the Number of Diagonals in a Polygon.

68 Use Pythogorean Triples.

69 Utilize 30-

70 Utilize Right Isosceles Triangles.

71 Find Perimeter of Triangles and Quadrilaterals.

72 Find Circumference of Circles.

73 Find Perimeter of Regular Polygons.

74 Find Area of Triangles.

75 Find Area of Quadrilaterals with Perpendicular Diagonals.

76 Find the Area of Squares and Rectangles.

77 Find the Area of Circles.

78 Find the Area of Equilateral Triangles.

79 Find the Area of Trapezoids.

80 Use Pick's Law.

81 Find the Surface Areas of Cubes.

82 Use Coordinate Formula for Area.

83 Use Hero(n)'s Formula

84 Find the Volumes of Cubes.

85 Find the Surface Areas of Rectangular Prisms.

86 Find the Volumes of Rectangular Prisms.

87 Find the Surface Areas of Cylinders.

88 Find the Volumes of Cylinders.

89 Find the Surface Areas of Pyramids.

90 Find the Volumes of Pyramids.

91 Find the Surface Areas of Cones.

92 Find the Volumes of Cones.

93 Find the Surface Areas of Spheres.

94 Find the Volumes of Spheres.

95 Find Supplements and/or Complements of Angles.

96 Find the Measures of Interior and/or Exterior Angles of Polygons.

97 Find the Slope of a Line.

98 Find the x-

99 Find the Sum of Roots of Quadratic Equations.

100 Find the Product of Roots of Quadratic Equations.