! #@$%&#@#

Ever wonder what that...

or...

                                                                                                                                                                                  

           

               

                                                           X

...key is for on your calculator? Well...

That's your gold plated 

short cut to solving those "arrangement"-type questions. 

You know (and love) the ones - "You have one red, one green, one blue and one yellow circle. How many ways can you arrange these 4 circles?"

So you might set out to make a grid or chart, starting with red. 

1) ০০০০

2) ০০০০

3) ০০০০

etc., etc., until your crayons and patience are worn out.

Or you could just enter 4 on your calculator and then press the factorial (x!) key (you might have to press shift first, depending on your calculator.) Bang. Done. Work smart, not hard.

"3 out of 4" Questions - Rate and Proportion

This is a modification from an earlier post. I realised there might be a few Heavy Metal fans out there...fans of the band MUAADON.

"3 out of 4" Questions - Rate and Proportion

Look or sound familiar? 



"A 10 metre flag pole casts a shadow of 6 metres. A 12 metre pole would cast a shadow that is ______ metres in length."

"A motorcyclist rides 125 miles in 3 hours. At this rate, how much distance will be covered in 5 hours?"

A factory produces 3000 widgets every 45 minutes. How many widgets will be produced in 7 hours?


These questions, I like to call, are "3 out of 4" questions. You are given 3 numbers and you need to find the 4th. How to solve? Make yourself a 4-way relationship box. 


Let's look at question 1 again. 

"A 10 metre flag pole casts a shadow of 6 metres. A 12 metre pole would cast a shadow that is ______ metres in length."

Your two "measurements" are height (H) and shadow length (SL).

H           SL
10            6
12            ?

Remember MUAADON - Multiply Up And Across, Divide by the Other Number.

12 x 6 = 72
72/10 = 7.2

You could have set your box up another way.

H      10    12
SL     6      ?

6 x 12 = 72
72/10 = 7.2

Same answer...


Tricks to watch out for!

In question 3, the two "measurements" are time and widgets. However, the first "time" is in minutes and the second one is in hours. You need to either convert the 45 minutes to .75 hours, or convert the 7 hours to 420 minutes. Then set up your box, remember MUAADON, and get yourself the right answer. Rock on!

Math Doctor Video - New Version

See Math Doctor Link for the new Math Doctor Video - write out a 10 by 10 multiplication in under 1.5 minutes.

Come Undun

From  de.wikihow.com

Mean Median Mode Range - from www.showme.com

Circumference

Formula for Circumference?

Well - if you eat a pie a day, you will get a big circumference. (Distance around your middle.)

 

C = ∏   x  D    (diameter)

Find the diameter (or double the radius if the radius is given), multiply by pi and you will get the circumference.












Work Smart, Not Hard!

Do you know "Y" you were intercepted Part Three

"Do you know "Y" you were intercepted?" Part Three

 Which line has the equation          y = x + 6

Ok, smarty pants. What if 2 lines cross at the same spot and both have positive slopes? What then? (In this case, lines 5 and 8)

 

 

 

Then, we have to work out the slope of lines 5 and 8.

 

 

Think of jogging. If you want to go for a run up a slope in the morning, you must rise first before you run.

So...    to calculate the slope of a line...
use the formula...             slope = rise
                                                        run

Rise divided by run.

 

Rise is the vertical distance between two points on a slope. Run is the horizontal distance between two points on a slope.

 

Pick any 2 spots on line #5. Try to pick spots at the corners of the underlying grid.

 

slope = rise   2   = 1    run    2

 

Pick any 2 spots on line #8. Try to pick spots at the corners of the underlying grid.

 

 

slope = rise   4   = 2    run    2

 

Which line has the equation          y = x + 6

 

(Remember that this question can be written as y = 1x + 6. By convention, in algebra, the "1" in front of a letter or variable can be dropped for convenience.)

 

The slope of the line is associated with the value in front of the "x" in the given equation. The free floating number (in this case the "6"), is the place on the Y axis where the line crosses or intercepts.

 

Has to be line 5 for your answer, as it has a slope of 1. You are done.

 

Work SMART not HARD.