## Percentages - Due 14th June, 23:59 HOL time.

Please send all your work to hol.mathematics@gmail.com.

Send Homework and Extra Credit together or separately, whichever is easier for you.

Please put Percentages - HOL ID in the subject line.

Remember to include your HOL username, ID and House in the main body of your email.

Do not send attachments as they will not be opened.

Send Homework and Extra Credit together or separately, whichever is easier for you.

Please put Percentages - HOL ID in the subject line.

Remember to include your HOL username, ID and House in the main body of your email.

Do not send attachments as they will not be opened.

## Homework

**Percentage trail (15 points)**Fill in answers for the percentage trail. You need to work out the percentage of £600 indicated in the box and write your answer, using the £ sign, on the line. You can use any method you want but this is designed to practise your non-calculator percentage strategies so you may find it quicker without a calculator! Any questions, send me a HOL message!

NOTE: The trail is there to give you hints of the easiest way to find each percentage using non-calculator methods. You should ALWAYS find the percentage of £600. So if the 100% value was £200, I would write 50% = £100 and then 25% = £50. I would NOT calculate 25% of £50. I hope that clears things up a little!

NOTE 2: If you do not have a £ sign on your keyboard I am happy for you to use any other currency, as long as you are consistent.

**Percentage calculations (5 points, 1 point each)**1. Find 42% of 700

2. Calculate 85% of 90

3. Work out 99% of 40

4. Find 124% of 70

5. What is 250% of 970

**Percentage Increase and Decrease (10 points, 2 points each)**1. Increase 60 by 20%

2. Decrease 85 by 10%

3. Decrease 27 by 2%

4. Increase 95 by 30%

5. Decrease 500 by 42%

## Extra Credit

**Short Answer (4 points)**Two examples of when percentages are seen in real life were given in the lesson (interest rates and sales). Give two different examples of when you may need to calculate a percentage outside of a maths lesson. Please write in full sentences and try to explain yourself clearly!

__Problem Solving (16 points, 4 points each)__Answer the questions below using any method. You do not have to send me your working out but it may be useful if you go wrong so I can help put things right!

1. A test has 20 questions. If peter gets 80% correct, how many questions did peter get wrong?

2. A metal bar weighs 8.15 ounces. 93% of the bar is silver. How many ounces of silver are in the bar? (round to the nearest tenth of an ounce)

3. Growing up, Marie lived in a tiny country village. When she left for college, the population was 840. Marie recently heard that the population has grown by 5%. What is the present population?

4. A bottle of lemonade normally contains 500ml. Special edition bottles have 15% extra free. How much lemonade is in the special bottles?

**Independent Research (10 points, 5 points each)**After a sale, a manager may wish to return the items to their original prices. Clearly there will be procedures in place to ensure a list of the original prices is kept but imagine that wasn't the case. Getting back to the orginal amount is not as easy as just adding on a percentage. The process is known as '

**reverse percentages**' and is explained here, here and here. Have a look at these links (the first and last are videos showing different methods) and answer these two questions:

1. A camera costs £180 in a 10% sale. What was the pre-sale price?

2. After fuel prices rose by 15%, a family’s annual heating bill was £1654. What would the bill have been without the price increase to the nearest pound (whole number)?