Notesale: Turn your study into money

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Maths Tips and Tricks to Improve Your Math Abilities

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Contents
1
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Is it divisible By 4?
3
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Converting Kilos to Pounds
5
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Converting Celsius to Fahrenheit
7
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Decimal Equivalents of Fractions
9
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We will take a few examples and from these you will see the pattern used and also how
easy they are to do
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First things first you will ignore the 11 for the moment and concentrate on the 12
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First, do this: Place the 2 from the twelve in between the 4 and 8 giving 428
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Is it divisible by four?
This little math trick will show you whether a number is divisible by four or not
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Let's look at 1234
Does 4 divide evenly into 1234?
For 4 to divide into any number we have to make sure that the last number is even
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So, for example, 4 will not go evenly into 1233 or 1235
now we know that for 4 to divide evenly into any number the number has to end with an
even number
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4 into 1234, the solution:
Take the last number and add it to 2 times the second last number
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So
4 + (2 X 3) = 10
4 goes into 10 two times with a remainder of 2 so it does not go in evenly
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Let’s try 4 into 3436546
So, from our example, take the last number, 6 and add it to two times the penultimate
number, 4
6 + (2 X 4) = 14
4 goes into 14 three times with two remainder
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Let's try one more
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Therefore 4 goes into 234436 evenly
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com about telling the day in any
year, then you can use it in working out whether the year you are calculating is a leap
year or not
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12 X 7
the first thing is to always multiply the 1 of the twelve by the number we are multiplying
by, in this case 7
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Multiply this 7 by 10 giving 70
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Bases are the
fundamentals to easy calculations for all multiplication tables
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htm)
Now multiply the 7 by the 2 of twelve giving 14
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Therefore 7 X 12 = 84
Let's try another:
17 X 12
Remember, multiply the 17 by the 1 in 12 and multiply by 10
(Just add a zero to the end):
1 X 17 = 17, multiplied by 10 giving 170
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Add 34 to 170 giving 204
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Multiply by 10 giving 240
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Add to 240 giving us 288
24 X 12 = 288 (these are Seriously Simple Sums to do aren’t they?!)

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Converting Kilos to pounds
In this section you will learn how to convert Kilos to Pounds, and Vice Versa
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86 kilos into pounds:
Step one, multiply the kilos by TWO
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86 x 2 = 172
Step two, divide the answer by ten
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172 / 10 = 17
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172 + 17
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2
86 Kilos = 189
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To do this, just double the kilos
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To do this, just put a decimal point one place in from the right
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100 + 10 = 110
50 Kilos = 110 pounds

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Adding Time
Here is a nice simple way to add hours and minutes together:
Let's add 1 hr and 35 minutes and 3 hr 55 minutes together
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What you need to do to this and all sub totals is add the time constant of 40
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490 + 40 = 530
so we can now see our answer is 5 hrs and 30 minutes!

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Temperature Conversions
This is a shortcut to convert Fahrenheit to Celsius and vice versa
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Fahrenheit to Celsius:
Take 30 away from the Fahrenheit, and then divide the answer by two
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Example:
74 Fahrenheit - 30 = 44
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So 74 Fahrenheit = 22 Celsius
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30 Celsius double it, is 60, then add 30 is 90
30 Celsius = 90 Fahrenheit
Remember, the answer is not exact but it gives you a rough idea
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Let’s take

Ok, so what you have to do is split up the numbers, giving you
And

Forget about the

for the moment and do this:

Always add 1, adding 1 to the 4, so we get 4 + 1 = 5
Then multiply this answer, 5, by the original first number, 4
5 X 4 = 20
So what you have is 20 and
Everyone knows

= 25 right? Well it does
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Put the two answers together and that's the answer!
2025

This works for any number ending in but when the numbers get over 100 it tends to get
a little trickier with the multiplication
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Try

, it isn't difficult
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Decimals Equivalents of Fractions
With a little practice, it's not hard to recall the decimal equivalents of fractions up to
10/11!
First, there are 3 you should know already:
1/2 =
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333
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25
Starting with the thirds, of which you already know one:
1/3 =
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2/3 =
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You also know 2 of the 4ths, as well, so there's only one new one to learn:
1/4 =
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5
3/4 =
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Take the numerator (the number on top), double it, and stick a
decimal in front of it
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2
2/5 =
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6
4/5 =
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1666
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333
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5
4/6 = 2/3 =
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5/6 =
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What about 7ths? We'll come back to them at the end
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8ths aren't that hard to learn, as they're just smaller steps than 4ths
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125 if needed:

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1/8 =
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25
3/8 =
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5
5/8 =
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75
7/8 =
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111
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222
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333
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444
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555
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666
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777
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888
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Just put a decimal in front of the numerator:
1/10 =
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2
3/10 =
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4
5/10 =
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6
7/10 =
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8
9/10 =
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090909
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181818
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272727
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363636
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454545
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545454
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636363
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727272
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818181
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909090
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142857142857142857
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142857
See if you notice any pattern in the 7ths:
1/7 =
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2/7 =
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3/7 =
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4/7 =
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5/7 =
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6/7 =
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Notice that the 6 digits in the 7ths ALWAYS stay in the same order and the starting digit
is the only thing that changes!
If you know your multiples of 14 up to 6, it isn't difficult to work out where to begin the
decimal number
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14 as the starting point
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28 as the starting point
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42 as the starting point
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57 as the starting point
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71 as the starting point
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85 as the starting point
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If they give you 96 divided by 7, for example, you can think, "Hmm
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So the answer is 13 and 5/7, or:
13
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The formula to convert kilometres to miles is number of (kilometres / 8 ) X 5
So lets try 80 kilometres into miles
80/8 = 10
multiplied by 5 is 50 miles!

Another example
40 kilometres
40 / 8 = 5
5 X 5= 25 miles

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