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## Countdown to Exams - Day 19 - Averages from a Grouped frequency table

On day 19 we extend our understanding of averages by looking at Grouped frequency tables. Here you will find that your data has been grouped into categories. It is important to note a change in the vocabulary for the questions. Because the data is grouped, you will be unable to use specific values as you don't know what they are hence you will be asked to find an estimate for the mean or an estimate for the median.

You will often have to create two extra columns, one for the midpoints of each group and one for your fx column.

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## Countdown to Exams - Day 18 - Averages from a frequency table

On day 18, we focus on calculating averages from a simple frequency table. There will be times where you will need to create the fx column so that the total amount can be worked out. Remember the formula for the median shows you where the median is located.

It will be important to look and check your answers to see if they are reasonable answers and fit within the data set.

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## Countdown to Exams - Day 17 - Mean, Median, Mode, Range

On day 17, we shift our focus to the Statistics topic looking at Mean, Median, Mode and Range. We take a look at how to calculate the three averages and when it might be necessary to calculate each average.

Mean - When you want to include all the data. Median - When you want to eliminate extreme values (outliers) from the data set. Mode - When you are dealing with categorical data (either Quantitative or Qualitative). Range  - Is not an average but a measure of spread.

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## Countdown to Exams - Day 16 - Sequences

Day 16 takes a look at Sequences. With sequences you will be required to know what is happening between each term in a sequence, using that information to carry on the sequence as well as find a general rule to find the value of any term in the sequence. We start off with simple sequences and the processes required to find the general rule (known as the nth term) and move onto the more advanced quadratic sequences.

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## Countdown to Exams - Day 15 - Factorising Quadratics

In today's revision countdown, we are taking a look at Factorising Quadratics. Remember, factorising is putting into brackets! It is important to remember the general structure of a quadratic as you may need to rearrange your expression/equation to create the general structure.

We start off by looking at simple quadratic expressions where the a value is equal to one. The key point to remember here is the 'Sum and Product rule' We finish off by looking to factorise quadratics where the a value is not equal to 1.

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## Countdown to Exams - Day 14 - Linear equations

On day 14, we are still looking at the Algebra section paying attention to Linear Equations. Here we start with creating linear equations that will enable you to calculate the value of the unknown. Here you will need to utilise all you algebraic skills as you may be required to expand, factorise, collect like terms before attempting to solve the equation. Pay attention to the general order that you solve equations.

The difference between an expression and and equation is that an equation has an equal sign!

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## Countdown to Exams - Day 13 - Factorising

Surprise Surprise! Today we are focusing on the inverse of expanding, Factorising. Whenever you see this in a question, it means that you have to write the expression with brackets.

Here we take a look at how to factorise expressions by factoring out common factors (by dividing). We take you through two possible methods to do this.

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## Countdown to Exams - Day 12 - Expanding brackets

On day 12 we take a look at Expanding brackets. It is important to state that this is the inverse of factorising and we take you through the process of expanding brackets by multiplication! Once the brackets have been expanded, it is essential to collect like terms and simplify your answer otherwise you will lose marks in a test.

Here we cover expanding single brackets and move onto double brackets. Note there is more than one method so make sure you get really comfortably with a method and get those marks!

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## Countdown to Exams - Day 11 - Laws of Indices

Today we are looking at the topic of Laws of Indices. It is important to understand that an index might be referred to as a power (the little number in the upper right corner) and that the base is your key component. We take a look at the three basic laws of indices involving the multiplying, dividing and raising of the powers.

We then start to explore the advanced laws of indices which share close similarities with negative and fractional powers that were covered earlier.

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## Countdown to Exams - Day 10 - Formulae

Today we take a look at Formulae. There are many strands to Formulae that you need to be comfortable with. We take a look at creating a formula from some information given, paying particular attention to the operations that are involved.

You will be required to memorise formulae to help you solve problems and being able to substitute into a formula accurately is important in order to secure the right answer and marks.

There will be times that you will have to manipulate and rearrange the formula in order to work something else out. This is called changing the subject and is also the last thing we cover in this topic.

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## Countdown to exams - Day 9 - Algebraic notation and Collecting Like terms

The focus for Day 9 is Algebraic notation and collecting like terms. Here we take an introductory look into Algebra and this will form the basis of all future algebraic manipulation. It will be important to know and understand the 'shortcuts' in algebraic notation. Using this knowledge, we are able to simplify expressions by collecting like terms together.

It is really important in this topic to pay attention to signs. Are you dealing with positives or negatives? If you gain a solid understanding of this topic it will help to enhance your Algebra skills and tackle more complex problems.

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## Countdown to Exams - Day 8 - Power and Roots

Today we are looking at the topic of Powers and Roots. There are three areas to be aware of when dealing with powers. Here, we take you through positive powers, negative powers and fractional powers. If you ever end up dealing with negative fractional powers then look to deal with the negative element first then move onto the fractional part.

We also a take a look at roots today because they are closely linked to fractional powers. When dealing with questions involving this topic, you should be confident in knowing your square and cube numbers.

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## Countdown to Exams - Day 7- Prime factor decomposition, HCF and LCM

Today we are looking at the topics of Prime factor decomposition, HCF and LCM. We take a look at how to break down numbers into products of their primes and then use the information to calculate the HCF and LCM of two or more numbers.

It is important to be confident in breaking down numbers into a product of their primes as this provides the foundation for solving HCF and LCM problems. You may come across questions involving HCF and LCM that will not require you to carry out prime factor decomposition. These are normally involved in best buy problems.

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## Countdown to Exams - Day 6 - Prime numbers, Factors and Multiples

Today we are looking at the topics of Prime numbers, factors and multiples. We take a look at the definitions and properties of prime numbers, factors and multiples.

An important topic when looking to solve problems involving Highest common factor and Lowest common multiple. It can also prove useful when you need to divide by a double digit number.

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## Countdown to Exams - Day 5 - BIDMAS

Today we are looking at the topic of BIDMAS. The set of rules required to solve calculations was developed to ensure there was some regularity when confronted with calculations containing a number of different operations.

An important topic when carrying out simple numerical problems but becomes crucial when starting to develop the skills required to solve algebraic problems. Don't forget to re-write your calculation at each stage so you can easily track what needs to be done next as you progress through the problem!

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## Countdown to exams - Day 4 - Multiplication and Division

Today we are focusing on the topic of Multiplication and Division. It is important that you have a 'go-to' method whenever you are confronted with multiplication and division problems and here we look at some of the methods that are commonly used. We also take a look at the laws surrounding the multiplication and division of positive and negative numbers, a crucial area that many people make mistakes on when applying to algebra style questions.

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## Countdown to Exams - Day 3 - Addition and Subtraction

The focus for Day 3 is Addition and Subtraction. As well as being able to use the appropriate method to add and subtract complex numbers, we explore the rules regarding the addition and subtraction of positive and negative numbers which is often an area where simple marks are lost in an exam.

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## Countdown to Exams - Day 2 - Rounding

Our focus today is on Rounding. Important to get right for questions which focus specifically on rounding, especially place value rounding. It is also important to avoid dropping careless marks by incorrectly rounding your final answers.

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## Countdown to Exams - Day 1 - Place Value and Numberlines

Today is the first day in our countdown to exams and we are focusing on Place Value and Numberlines. These are 2 topic areas of particular importance for foundation level students as they offer the opportunity to secure some key marks, potentially early on in the paper.

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## Christmas Maths Problems

Fancy a festive challenge with your class?

How about trying our Christmas maths challenge? - there are 3 sets of problems according to the target grades of your students. You can download the PDFs below

See if you can spot the deliberate Christmas themed mistake in the 5-7 puzzle PDF. Tweet us @EzyMaths and let us know when you spot it!

Merry Christmas!

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