Follow Me

Jan 022012
 

Many students read scales incorrectly because they assume each division on the scale is one unit.For instance they would look at this scale and read it as 69 mph as it is one division before 70. This is wrong! Always work out what each division means first. On this speedometer 5 divisions mean 10mph. So each division is 2mph. It is pointing at 68mph.

Practice reading scales with this exercise.

Nov 232011
 

I chose a Penrose Triangle to be the logo for Maths with Graham.Penrose Triangle Look closely- it’s impossible! Lots of people think maths is impossible because they had such a hard time with it at school. But usually when they get the help and attention they need they are able to learn, make good progress and even pass exams! The impossible is possible!

If you visit this website you can make your own 3-dimensional Penrose triangle and see photographs of them.ย  You can read more about the Penrose Trianglee here.

Nov 012011
 

Ordering decimals

To complete this quiz you need to be able to order decimals. Here is an example to help you.

Which is bigger, 0.3 or 0.25?

Ever so many people make the mistake of saying 0.25 is bigger because 25 is bigger than 3. This is very wrong!

Remember the place value of decimals.

0.3 means three tenths.

0.25 means 2 tenths and 5 hundredths.

Three tenths is bigger than 2 tenths, so 0.3 is bigger.

 

Nov 012011
 

Converting between decimals and fractions

 

Thanks to John Ford for this quiz.

You need to be able to convert fractions to decimals and decimals to fractions.

To convert a fraction to a decimal divide the numerator (top number) by the denominator (bottom number).

eg 3/4

3รท4 = 0.75

To change a decimal to a fraction think what place value the number on the right hand side has.

eg 0.45

The 5 is in the hundredths column, so the denominator will be 100.

The numerator is 45

So 0.45 = 45/100

This cancels down as both numbers divide by 5.

45/100 = 9/20