The post How to convert MPS to KMPH? appeared first on Maths 101.

]]>So, you probably just bought a new air rifle and are wondering how fast the bullet shoots. This is asked all during high school and is needed to workout velocity in physical sciences. How does one convert MPS to KMPH?

**The conversion ratio for meters per second to kmph is 1 meter per second = 3.6 kilometres per hour. Therefore, MPS x 3.6 = KMPH. This conversion ratio can be used in reverse for us to determine the meters per second if we know the Kilometres per hour. Therefore, KMPH/3.6 = MPS.**

This is the conversion ratio used to converts units of speed. Speed is generally measured in meter per second (symbol m/s). In Physics and Maths, we need to convert units back to **m/s** before we can calculate any velocity related question. Perhaps you are wanting to work out the speed of an air rifle that you recently purchased. Perhaps you need to work out the velocity of your car while you drive at 80km/h. The below formulas used can assist you with your conversion of m/s to km/h or vice versa.

For us to understand this more clearly, we need to think of the **time** and the units its mathematically measured in. To work with m/s we need to first convert the hour into seconds.

There are 60 seconds in a minute. There are 60 mins in an hour.

Therefore 60 x 60 = 3600seconds

Let us now consider the units of **distance**.

To work out m/s we need to then convert the kilometre into meters. There are 1000 m in a kilometre.

To then so then there are 3600 seconds in an hour and 1000 meters in a kilometre.

1m/s then would mean 3600 seconds / 1000 meters = 3.6 km/h

Since,

From to :

=

= =

Therefore, to convert to is multiply the number by

The question though is to convert ** to **

The question states the conversion of to :

=

= =

= =

= =

- Convert 18 into ?

=

=

= 5

- Convert 20 into

=

=

= 72

In Science and Mathematics today, if we want to calculate velocity the units we use need to be converted to **m/s**. It can throw off your answer completely should you use the wrong unit of measurement. Be sure to always double-check your work as this is a formula that gets shown to you briefly during high school and is taken as a given when trying to solve velocity questions.

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]]>The post How to Calculate Percentages appeared first on Maths 101.

]]>To calculate percentage: **Convert the given number to decimal, then multiply it by 100 to get the percentage.**

The word percentage is derived from the word percent. If you split the word up into its two rood words, we see “per” and “cent”. The word ‘Cent’ is an old European word with French, Latin and Italian origins meaning hundred. To directly translate this to ‘per hundred’. If you have 78 percent, you literally have 78 per hundred. If it rained 15 times in the last 100 days, it rained 15(%) percent of the time.

Its something that we learnt in school, but it is a task that can easily slip from our mind. To calculate percentages is a very important life skill. There are several online percentage calculators that can help you calculate your needed percentage. However, there may be a time, as unlikely as it is, where you need to be able to calculate your own percentage without any digital assistance. It works out quicker if you know what you are doing too.

In arithmetic and numbers today, numbers are generally given to you in 2 different formats, namely: **Decimal & Fraction.**

Decimal formats are easier to calculate into percentage. Converting a decimal to a percentage is simple: **Multiply It by 100. **To convert 0.78 to a percent, simply multiply 0.78 by 100.

0.78 x 100 = 78

Giving you your answer of 78%

The word **Percent **is often abbreviated with the **%** symbol. Presenting your answer as 87% or 87 percent is acceptable.

**If you are given a fraction, converting it into a decimal is necessary**. Thus, if I am given a fraction of 23/100, I first need to divide the top number with the bottom number.

23 ÷ 100 = 0.23

Then, follow the steps above for converting a decimal to a percent.

0.23 x 100 = 23% or 23 percent.

The task can seem quite daunting when you need to calculate the percentage of a number that does not fit neatly into 100.

Most of the time you are given a percentage of a given number. For example, you may need to work out that 25 percent of your salary will go to taxes and you need to find out exactly how much money that is.

**To calculate that the percentage of a specific number, you first need to convert it to decimal.**

This process is pretty much the reverse of what we did earlier. You need to divide your percentage by 100. So that means 25% would be divided by 100.

25% ÷ 100 = 0.25%

**Once you have the decimal version of your percentage, simply multiply it to the given number.** In this case it would be your salary.

If your salary is R10000.00 then you would multiply it with 0.25

10000 x 0.25 = R2500.00

Let us try another example.

You want to save 30% of your salary for the next 6 months to go on a nice holiday. How much money would I be putting away every month if I earned R12000.00 per month

Let us start **by converting our percentage (%) into a decimal.**

30(%) ÷ 100 = 0.30

Now that we have our decimal, we need to multiply it to our salary.

R12000.00 x 0.30 = R3600.00

That means you would need to save R3600.00 each month for your holiday.

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]]>The post How to Calculate the Pythagoras Theorem appeared first on Maths 101.

]]>Pythagoras might seem like an odd word to some. Do not let the letters confuse you, it’s a simple theorem, easy to understand!

This is a theory that was attributed to a man named Pythagoras and he had a theory that**: The square root of the hypotenuse of a right-angled triangle is directly equal to the area of the sum on the adjacent sides. This theorem, therefore, can be written as **

“The theorem has been given numerous proofs – possibly the most for any mathematical theorem. They are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. The theorem can be generalized in various ways, including higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and indeed, to objects that are not triangles at all, but *n*-dimensional solids. The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power; popular references in literature, plays, musicals, songs, stamps and cartoons abound.” – Wikipedia

This theorem is often used in mathematics. Understanding this theorem and getting it right is one of the fundamental mathematical exercises. This theorem is used right through high school and is tested even in matric.

Let us start off with a simple example to help us understand the theorem.

Following the Pythagorean theorem, we need to follow the formula given to get the correct answer to our equation namely

** **Use the formula given.

Replace the A value and B values with the numbers given.

Simply the equation further.

The formula has algebraic proof in that it can be used to work out the side of the triangle if we have the hypotenuse value. Let us consider another example using the same triangle.

Consider the same triangle below.

** **Notice that we have the values for A and C

** **Arrange the values to determine B

** **Simplify the equation further

To show our findings and test out the theory, let us look at our last example…

Consider the same triangle below.

Again we need to begin using our formula.

** **

Insert the known values

** **Arrange the values to determine A

** **Simplify the equation further

This is the method we use in determining the Hypotenuse of any given triangle.

People learn mathematical concepts and often wonder:** Where will I use this concept in my day to day life?** The Pythagoras theorem can be applied to many instances in life. Whenever the area is involved, we use this theorem. Think of a builder, building a house – trying to work out the shapes and sizes of the rooms. Think of a tiler who needs to tile a certain area. Think of a man working out the amount of wood needed for a single roof truss. Think of a sailor trying to navigate the open sea without a GPS. Think of a land surveyor trying to calculate the steepness of a slope or hill.

There are many instances in which this theorem is used in everyday lives. To summarise the Pythagoras theorem is used in the following fields.

**Building and construction****Navigation****Architecture****Engineering****Land surveying**

I do hope this guide proves useful in your mathematical journey through highschool. Our development team hope you enjoy the content provided.

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]]>The post Understanding BODMAS appeared first on Maths 101.

]]>**In simple terms, it is how mathematical affairs should take place in a set order.** Without any order, mathematical answers would differ from one person to the next. ‘BODMAS’ is a mnemonic – a system such as a pattern of letters, ideas, or associations which assists in remembering something.

**BODMAS stands for…**

**(B)rackets – Sums in brackets should be completed first****(O)rders – Powers, square roots, cube roots etc****(D)ivision – Left to right****(M)ultiplication – Left to right****(A)ddition – Left to right after the division/multiplication is complete****(S)ubtraction – Left to right**

This is how order takes place in mathematical equations. BODMAS is introduced in grade 9 to pupils remember what order mathematical equations should be completed in. This is also how scientific calculators and programs like Microsoft Excel work out their equations/sums.

It is believed that BODMAS was introduced by **Achilles Reselfelt** to help in solving the mathematical problem involving operational signs. Whenever an operation is introduced in a sum, ‘BODMAS’ rule is applicable. The BODMAS rule determines the order of operations.

In mathematics and computer programming, the **order of operations** (or **operator precedence**) is a collection of rules that reflect conventions about which procedures to perform first in order to evaluate a given mathematical expression.

In Layman’s terms, BODMAS is the order of operations used throughout mathematics, science, technology and many computer programming languages so that the end result of evaluation agrees with the way in which evaluation of expressions is in agreement with standard conventions.

As it is been tried and tested it is the sequence of mathematical equations and this rule is applied from grade 9 through to Grade 12.

*For example:*

*Let us look at the following sum. 8 + 2*5 =??*

*If we look at that sum and work, it out from left to right we may state our answer is 50.*

*8+2*5= 10*5 = 50 however, that answer is INCORRECT.*

*The BODMAS rule must be applied to the following sum. Which based on the rule, tells us to work out the multiplication part of the sum before we can add it together.*

*Therefore 8+2*5= * *(begin with the multiplication).*

*8+10 = 18 Is the CORRECT answer.*

*If we had to change up the same question, how would you answer…*

*(8+2)*5 =? Using the BODMAS rule we need to first start with the BRACKETS*

*(10)*5 = 50 After the brackets are completed we can arrive at the correct answer.*

*For example:6 + 3 of 7 – 5= 6 + 3 × 7 – 5 (start with the multiplication)= 6 + 21 – 5 (then the addition)= 27 – 5 (then the subtraction)Answer = 22*

*For example:20 +*

*For Example:*

*78 – [5 + 3 of (25 – 2 × 10)]*

*= 78 – [5 + 3 of ( 25 – 20)], (Simplifying ‘multiplication’ 2 × 10 = 20)*

*= 78 – [5 + 3 of 5], (Simplifying ‘subtraction’ 25 – 20 = 5)*

*= 78 – [5 + 3 × 5], (Simplifying ‘of’)*

*= 78 – [ 5 + 15], (Simplifying ‘multiplication’ 3 × 5 = 15)*

= 78 – 20, (Simplifying ‘addition’ 5 + 15 = 20)

*= 58, (Simplifying ‘subtraction’ 78 – 20 = 58)*

*Answer: 58*

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]]>The post Grade 9 Mathematics Past Papers & Memos appeared first on Maths 101.

]]>Our developers encourage all students to utilize the available list of Grade 9 Mathematics Past Papers & Memorandums.

**A list of past papers with their respective memos made easy for students that are striving to do their very best in Grade 9.** Grade 9 is the foundation phase in Mathematics, this is where learners decide whether they will continue with Mathematics as a subject or move over to Mathematical Literacy. We encourage all learners now, to put in the hard work, as pursuing Mathematics can open up many opportunities for you in the future.

Please note: These question papers and their respective memorandums are free for public use an in no way are the provided papers for sales or distribution for coursework. Math’s 101 will also not partake in requested student essays or assist others in doing student work for remuneration. Our website strives to make complex information, simple to understand for the general public.

Please click on the following link(s) below in order to download the required **Question Paper & Memorandum**. Below lies a list of grade 9 past papers & memos to assist the learners in achieving their goals for the end year results.

Please note: There may be a few papers missing. The developers are currently working to acquire as many past papers as possible. Please make use of our contact form if you have missing past papers. Thank you for understanding. If you are looking for more Mathematical past papers maths 101 is the site for you.

Our development team hope you enjoy the content provided. Please leave us a comment below should you have any queries or concerns.

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]]>The post Grade 12 Mathematics IEB Past Papers & Memos appeared first on Maths 101.

]]>A** list of IEB past papers with their respective memorandums made easy for students that are striving to do their very best in Grade 12.** Go ahead and click on the following link(s) below in order to download the required **Question Paper & Memorandum**.

In no way are the provided papers for sales or distribution for coursework. Math’s 101 will also not partake in requested student essays or assist others in doing student work for remuneration. Our website strives to make complex information, simple to understand for the general public.

Please click on the following link(s) below in order to download the required **Question Paper & Memorandum**.

Please note: There may be a few papers missing. The developers are currently working to acquire as many past papers as possible. Please make use of our contact form if you have missing past papers. Thank you for understanding.

Our development team hope you enjoy the content provided. Please leave us a comment below should you have any queries or concerns.

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]]>The post Grade 12 Mathematical Literacy Papers & Memos appeared first on Maths 101.

]]>A** list of past Mathematical Literacy papers with their respective memorandums made easy for students that are striving to do their very best in Grade 12.** Go ahead and click on the following link(s) below in order to download the required **Question Paper & Memorandum**.

Please note: These question papers and their respective memorandums are free for public use. In no way are the provided papers for sales or distribution for coursework.

Math’s 101 will also not partake in requested student essays or assist others in doing student work for remuneration. Our website strives to make complex information, simple to understand for the general public. Please see below Grade 12 Past Papers & Memos.

The below question papers and their memorandum contain subject matter pertaining to trigonometry, financial maths, statistics, probability, analytical geometry, solve for x and many more problems. If you strive to get the best results, the development team recommends testing yourself with the question paper and checking your results vs the respective memorandum. This is one of the best methods in achieving academic success.

Please click on the following link(s) below in order to download the required **Question Paper & Memorandum**.

Please note: There may be a few papers missing. The developers are currently working to acquire as many past papers as possible. Please make use of our contact form if you have missing past papers. Thank you for understanding.

Our development team hope you enjoy the content provided. Please leave us a comment below should you have any queries or concerns.

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]]>The post Grade 11 Mathematics Past Papers & Memos appeared first on Maths 101.

]]>Our developers encourage all students to utilize the available list of Grade 11 Mathematics Past Papers & memos.

**A list of past papers with their respective memos made easy for students that are striving to do their very best in Grade 11.** Grade 11 is the year that gears a learner up for their final grade 12 examination. It is important to note that the syllabus of grade 11 will end up in the grade 12 examination. We encourage all learners now, to put in the hard work, as pursuing Mathematics can open up many opportunities for you in the future.

Please note: These question papers and their respective memorandums are free for public use an in no way are the provided papers for sales or distribution for coursework. Math’s 101 will also not partake in requested student essays or assist others in doing student work for remuneration. Our website strives to make complex information, simple to understand for the general public.

Please click on the following link(s) below in order to download the required **Question Paper & Memorandum**. Below lies a list of grade 11 past papers & memos to assist the learners in achieving their goals for the end year results.

Please note: There may be a few papers missing. The developers are currently working to acquire as many past papers as possible. Please make use of our contact form if you have missing past papers. Thank you for understanding.

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]]>The post Grade 10 Mathematics Past Papers & Memos appeared first on Maths 101.

]]>Our developers encourage all students to utilize the available list of Grade 10 Mathematics Past Papers & memos.

**A list of past papers with their respective memos made easy for students that are striving to do their very best in Grade 10. **Grade 10 is the foundation phase in Mathematics, this is where learners decide whether they will continue with Mathematics as a subject or move over to Mathematical Literacy. We encourage all learners now, to put in the hard work, as pursuing Mathematics can open up many opportunities for you in the future.

Please note: These question papers and their respective memorandums are free for public use and in no way are the provided papers for sales or distribution for coursework. Math’s 101 will also not partake in requested student essays or assist others in doing student work for remuneration. Our website strives to make complex information, simple to understand for the general public.

Please click on the following link(s) below in order to download the required **Question Paper & Memorandum**. Below lies a list of grade 10 past papers & memos to assist the learners in achieving their goals for the end year results.

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