Numbers

Numbers has the following topics: 

• Fraction
• 
  

Fractions

Introduction

A fraction has two parts numerator which as the top and denominator which is at the bottom.

You can not simply add the numerator and denominator of two fractions. For example, we know a half plus 2 quarter is one but using that logic 1/2+2/4=3/6. THIS IS WRONG!

A mixed number combines an integer and a fractional part. For example, 41/2 is a mixed number. When adding/subtracting fractions and mixed numbers the most important part is to find a common denominator. That is, the fractions should have the same denominator.

Examples:

Work out 1/2 + 2/4

Before we can add any fractions we must convert the fractions to a common denominator. This is found by finding the first common multiple of 2 and 4 which is 4.

Now we have to convert both fractions to the common denominator of 4 by multiplying the numerators and denominators of both fractions by 2 and 1 respectively: 2/2 x 1/2 = 2/4 and 1/1 x 2/4 = 2/4

Now the fractions have the same denominator we simply add the numerators together to get: 2/4 + 2/4 = 4/4 = 1

Work out 4 2/5  +  5 1/3

When adding mixed numbers you can make life easier for yourself by first adding the whole numbers together. In this case 4 + 5 = 9. Now we just have to work out the remaining fraction sum 2/5 + 1/3

The common denominator of 15. So we multiply the of both fraction by 3 and 5 respectively. 

3/3 x 2/5 + 5/5 x 1/3 = 6/15 + 5/15 = 11/15

Finally, remember to add on the 9 from the beginning of the questions to get: 

9 11/15

Fear of Facing the Result?

Hello! GCSE takers! Now that you are done with GCSEs, you probably have a lot of time to kill. Some of you might be happy with the way you took your exams and some of you might be worried about results. And for those who are worried about the result, I would suggest 5 key points keep in mind.

1. Be Confident!
Scoring better is not in your hands now. All you can do now is enjoy the break and be confident to face result. In case you score high, carry this confidence for future endeavours. If you score low or couldn't qualify the exams, be confident to face it again.



2. No event is bigger than your life!

Every year! Every year the results are announced. Some pass, some don't. But how could an event be of greater importance than your life? Some get depressed, some fear their parents. But remind you that they care more about you and your health than your exam results.







3. There is more to life!
There are lots of opportunities that await you. A bad result doesn't mean the end of the world. Life has more to offer to you. A temporary setback doesn't make you a failure.







4. Face the challenges that come your way!

It is not the time to undermine yourself. Take your time, analyse your strengths and Believe! Believing in oneself is very important for one to succeed. If setbacks make you quit what you want to do then I must remind you that success tastes better if you struggle. Hard work is only going to make you stronger.

5. Start planning to Reach your Goals!

Whatever the result be, take it sportingly. You took the exams, you know better how your result would be like. So now, a pre-planned approach ahead would lead you, guide you and help you succeed! This is the time when you analyse what you did wrong and draw a road map to reach your goals.


About the authors:
Prime Tuitions provides after school private and group tuition for GCSE and A Level students. We cover subjects like Maths, English, Physics, Science, Chemistry, Biology, History, French, and many much. We are currently operational in Orpington and North Bromley.