Three M’s

Data Analysis

Gr. 6 Stuff

Brain

Teaser

Mental Math

$100 $100 $100 $100 $100

$200 $200 $200 $200 $200

$400 $400 $400 $400 $400

$600 $600 $600 $600 $600

$1000 $1000 $1000 $1000 $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

10 000 mm2

fit into this classroom which has an area of 9.6 m2?

Answer

Yes

10 000 mm2 = 10 m2

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

OrTwo 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

22 + 99?

(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…..

1 + 1 = 2

2 + 1 = 3

3 + 2 = 5

5 + 3 = 8

8 + 5 = 13

Mental Math$400

Daily Double

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:

56 701 500

Answer

Fifty-Six Million

Seven Hundred One Thousand

Five Hundred

Gr. 6 Stuff$200

12 + 12 x 10

= ?

Answer

i) 12 x 10 = 120

ii) 120 + 12 =

132

Gr. 6 Stuff$400

12003 ÷ 3

= ?

Answer

4001

Gr. 6 Stuff$600

What are the Prime Factors of 100?

Answer

Method A: Reduction Method B: Factor Tree

100 ÷ 2 = 50 100

50 ÷ 2 = 25 = 2 x 50

25 ÷ 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

0

50

100

150

200

250

300

350

hot dogs french fries candy

Day 1

Day 2

The Concession item that increased the most in sales by the second day.

Answer

CANDY

Data Analysis$200

Canteen Selections by Gr. 7 Students

French Fries

Chips

Oranges

Hot Dogs

Which fruit item is eaten the most by grade seven students?

Answer

ORANGES

The other choices are not fruit!

Data Analysis$400

Average NFL Quarterback Passing Yards By Quarter

0102030405060

1st Qtr 2ndQtr

3rd Qtr 4th Qtr

Quarter

Yar

ds Brett Favre

Tom BradyJoe Montana

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

NHL Goals Scored by Period

1st Period

2nd Period

3rd Period

During which period in a typical NHL game are most goals scored?

Answer

1ST and 3RD 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) 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

ii) 55 ÷ 10 values in the set = 5.5

The “mean average” of this set is 5.5