# Numeracy

Week 9 Numeracy

Parents - please don't feel the need to print all of the documents on this page - encourage your children to complete them in their books. This will save on your ink and give our pupils practice in setting out their work neatly - don't forget the date!

This week we are going to revise all that we know about percentages The word ‘percent’ means ‘out of 100’. Percentages are represented and identified by this sign: % Percentages will be an important topic for you in Year 8, therefore it's a good idea to do some revision of them before the end of the year.

Percentages are linked closely with your fractions. It is vital that you know your fraction/percentage/decimal equivalents. The document below shows you the main equivalents – you need to know these off by heart.

## Fraction, Decimal and Percent Equivalents

Now that we have revised our equivalents, this will help us recognise percentages when we see them and to identify the link with fractions. Watch this video and then have a look at the activity below.

## 8 The Whole Class Should Be Expelled

Finding the Missing Percentage

A list of percentages must always equal 100. Take a look at the example below that tells you the percentage time that Wilfred spent on his schoolwork.

 Maths 20% English 50% Science 5% Art ?

To calculate how much time is spent on art, simply add up the percentages that you do know. In this case, they add up to 75%. This then is taken away from 100 to give you the answer. Therefore, Wilfred spends 25% of his time on art.

Complete the two pages below on finding the missing percent.

Percentages of Amounts.

To find a percentage of an amount, you need to know the following:

• How to find a fraction of an amount - divide by the bottom number (denominator) and then multiply your answer by the top number (numerator)
•

Here’s an example:

Find 75% of £30.

75% is equivalent to 3/4.

Step 1 – divide £30 by 4 = £7.50

Step 2 – multiply £7.50 by 3 = £22.50

Therefore: 75% of £30 = £22.50

Here are some pages for you to practice in your books. Take care with your tables and show your working out (that's an order!!)

Problem Solving

Now that you can calculate percentages of amounts, you can now happily proceed using percentages in word problems. We know that you all enjoy word problem solving, but remember your rucsac:

Some of these questions have two parts. You must remember to do all parts of the question. Here’s an example.

In 2020, Ipswich Town scored 90 goals. In 2021, they scored 10% more.

1. First of all, we need to find 10% of 90.

90 divided by 10 = 9

1. We now need to add this on to 90 as the amount of goals scored increases 😊

90 + 9 = 99

1. Therefore our answer is 99 goals.

There are some problem solving activities for you to complete below.

Parents - these get progressively more difficult.  Choose the task that is best for your child.

Percentage Investigation

Use your knowledge of percentages to solve the following investigation called ‘Sale of the Century’. In class you often complete investigations in groups – you have our express permission to work collaboratively with someone at home for this (you might have to teach your parents about percentages first though!)

There are 3 versions of this investigation – they get progressively more challenging. Have a look at the numbers involved and choose investigation most appropriate to your child.