Math Homework Help

Now It is Christmas time. We are celebrating the birthday of Jesus. On this occasion we can have a birthday puzzle.

• Take the month number of your birthday; Jan=1, Feb=2……
• Multiply that by 5
• Then add 6
• Then multiply that by 4
• Then add9
• Then multiply that total by 5
• Finally add the day you were born on
• From that number , subtract 165

Then you will get the month and the day you were born.

You can ask your friends to do it tell their birth dates and become a hero.

There are two numbers with the difference of 3 between them and the difference of their squares is 51.

Can you find the numbers?

Which is worth more, a bucket full of half a sovereign gold pieces or an identical bucket full of 1 sovereign gold pieces?

If you have the answer please post in the comments section.

You write down the following 8 digit number on a piece of paper
1 2 3 4 5 6 7 9
Then ask your friend to circle one of the digits. Say 5

You then ask your friend to multiply the 8 digit number by 45, and magically the result ends up being:

1 2 3 4 5 6 7 9
x 4 5
—————
5 5 5 5 5 5 5 5

with the answer as a raw of the chosen number 5

The Secret!!!

When your friend circles a number, you need to multiply the chosen number by 9 in your head. Then you need to ask your friend to multiply the 8 digit number by the number you have worked out and you magically get the answer as a raw of the chosen number.

An angle is the union of two non- collinear rays with a common initial point.

Two rays forming an angle are called the ‘arms’ of the angle and the common initial point is called the ‘vertex’ of the angle. sometimes, it will be convenient to refer to angle BAC, simply angle A. However this can not be done if there are more than one angle, with the same vertex A.

Interior of an angle: The interior of an angle BAC, is the set of all points P in its plane, which lie on the same side of line AB as C, and also on the same side of line AC as B.

Exterior of an angle: The exterior of an angle BAC is the set of all points Q in its plane, which do not lie on the angle or in its interior.

Types of Angles
An angle whose measure is 90 degrees is called a right angle.
An angle whose measure is less than 90 degree is called an acute angle.
An angle whose measure is more than 90 degrees is called an obtuse angle.

Schoolchildren from Caversham have become the first to learn a brand new theory that dividing by zero is possible using a new number - ‘nullity’. But the suggestion has left many mathematicians cold.
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1) Let a:b>c:d and c:d be two ratios. Then,

i) a:b > c:d, if ad>bc,

ii) a:b< ?xml:namespace prefix = c /> <>

iii) a:b = c:d, if ad=bc

2) A ratio a:b is called a ratio of

i) greater inequality ifa>b,

ii) less inequality if a < b

iii) equality if a=b

3) If the same positive quantity is added to both the terms of a ratio of greater inequality, then the ratio is decreased.

4) If the same positive quantity is added to both the terms of a ratio of less inequality, then the ratio is decreased.

5) If the same positive quantity is subtracted to both the terms of a ratio of greater inequality, then the ratio is increased.

6) If the same positive quantity is added to both the terms of a ratio of greater inequality, then the ratio is increased.

John was born in 19ab. The two digit number ab when divided by 2 gives his age on his birthday in 1999. Can you tell me how old was he?

Solution
33 years

The ratio of two quantities of the same kind and in the same units is a comparison by division of the measure of two quantities.
In other words ,the ratio of two quantities of the same kind is the relation between their measures and determines how many times one quantity is greater than or less than the other quantity.
The ratio of a to b is the fraction a/b, and is generally written as a:b.

• Example 1: The ratio of $25 to $50 is 25:50 or25/50 or 1:2
• Example 2: The ratio of 2m to 80 cm is 200:80 or 200/80 or 5:2
• Example 3: There is no ratio between $10 and 5 meter.

Since the ratio of two quantities of the same kind determines how many times one quantity contains other, is an abstract quantity. In other words, ratio has no unit or it is independent of the units used in the quantities compared.

For the ratio a:b, a and b are called terms of the ratio. The former a is called the first term or antecedent and the later b is known as the second term or consequent.