Three M’s Data Analysis Gr. 6 Stuff Brain Teaser Mental Math $100 $200 $400 $600 $1000 This is Jeopardy! By: Mr. Butt Grade 7 Math

Brainteaser $100 What is the next shape in the pattern?

Answer

Brainteaser $200 How many hidden faces are there in the connecting blocks above?

Answer Seven Faces -Two on the back -Two on the bottom -One on the end -Two where the blocks meet

Brainteaser $400 Will a square carpet with an area of mm 2 fit into this classroom which has an area of 9.6 m 2 ?

Answer Yes mm 2 = 10 m 2

Brainteaser $1000 How many triangles are in the diagram above?

Answer There are 27 triangles in the picture

Brainteaser $600 Which would give you more money by the end of one week: Three dollars the first day and double the amount each succeeding day Or Two dollars the first day and triple the amount each succeeding day

Answer $3, $6, $12, $24, $48, $96, $192 $2, $6, $18, $54, $162, $486, $1458

Mental Math $100 What is ? (3 seconds to answer)

Answer 121

Mental Math $600 What is 2 groups of 12 grouped into sets of 8? (5 seconds to answer)

Answer (2 x 12) ÷ 8 = 3

Mental Math $200 What three dimensional shape has six faces, 8 vertices, and 12 connecting lines? (4 seconds to answer)

Answer A Cube!

Mental Math $1000 Find the Pattern: 1, 1, 2, 3, 5, 8, 13, 21… (5 seconds to answer)

Answer Rem: 1, 1, 2, 3, 5, 8, 13… = = = = = 13

Mental Math $400 Daily Double

Identify the Values that are missing from the following set of numbers: 24, ___, 48, 60, ___, 84 (5 Seconds to Answer)

Answer 24, 36, 48, 60, 72, 84 Multiples of 12

Gr. 6 Stuff $100 Read the following number correctly:

Answer Fifty-Six Million Seven Hundred One Thousand Five Hundred

Gr. 6 Stuff $ x 10 = ?

Answer i) 12 x 10 = 120 ii) = 132

Gr. 6 Stuff $ ÷ 3 = ?

Answer 4001

Gr. 6 Stuff $600 What are the Prime Factors of 100?

Answer Method A: ReductionMethod B: Factor Tree 100 ÷ 2 = ÷ 2 = 25= 2 x ÷ 5 = 5= 2 x 2 x 25 5 ÷ 5 = 1= 2 x 2 x 5 x 5 The Prime Numbers of 100 are 2 and 5

Gr. 6 Stuff $1000 Name this two dimensional geometric shape

Answer HEXAGON

Data Analysis $100 The Concession item that increased the most in sales by the second day.

Answer CANDY

Data Analysis $200 Which fruit item is eaten the most by grade seven students ?

Answer ORANGES The other choices are not fruit!

Data Analysis $400 Which “quarter” of a typical NFL football game do quarterbacks pass the least?

Answer This is a line graph. The answer is: THE FIRST QUARTER

Data Analysis $600 During which period in a typical NHL game are most goals scored?

Answer 1 ST and 3 RD PERIODS

Data Analysis $1000 What is the statistical mode of Police Officers in this town?

Answer ~ 56 Police Officers (1993, 2000) Rem: Mode means most frequently occurring value. Since no other number was repeated 56 must be the mode.

Three M’s $100 These three forms of average are used in data analysis but do not mean the same thing, nor are they calculated the same manner. In some cases they all equal the same value.

Answer MEAN, MEDIAN, and MODE

Three M’s $200 A shoe salesman is given the mean, the median, and the mode average of shoe sizes for a grade seven classroom. Which average is most useful to the salesman?

Answer The mode average would help he/she in knowing what size to stock up on the most.

Three M’s $400 11, 12, 12, 14, 4, 12, 12 ? Average of 12

Answer MODE AVERAGE

Three M’s $600 12, 13, 21, 5, 32, 9, 12 Median Average = ?

Answer Place the data in order from smallest to largest. The value found in the middle of this list is the “median average” of the set. 5, 9, 12, 12, 13, 21, 32 The “median average” of this set is “12”.

Three M’s $1000 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Mean Average = ?

Answer To calculate “mean average”, i) add all of the values in the data set, and then ii) divide the sum by the number of values. i) = 55 ii)55 ÷ 10 values in the set = 5.5 The “mean average” of this set is 5.5