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Countdown to Exams - Day 58 - Approximations and Error intervals

Countdown to Exams - Day 58 - Approximations and Error intervals

On day 58, we take a look at Approximations and Error intervals. When approximating calculations we tend to round each of the numbers to one significant figure. This should then leave us with a simpler calculation to carry out. Approximating your answers is good practice (not just when asked to) so you know if your answer is in the right region and you haven't made any big mistakes.

With error intervals, we are looking to find out what the maximum and minimum value of a rounded number might be. For continuous values, we halve the accuracy level (rounded to) and add it on for the Upper bound and subtract for the Lower bound. You will need to be a bit more careful with discrete values (people on a bus for example)

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Countdown to Exams - Day 57 - Volume

Countdown to Exams - Day 57 - Volume

In this blog, we take a look at the volume of shapes. Volume is the space taken up by a 3D object and there are a few 3D-shapes you should be aware of. When it comes to calculating volume, you will need to establish if the shape is a prism ( the same area running the length of the shape) or a pyramid (faces meeting at a point). To calculate the volume of a prism you need to calculate the area of the face (that extends the whole depth of the shape) and multiply it by the depth. To calculate the volume of a pyramid, multiply the area of the base by the height then divide it by 3.

That last thing we look at is Spheres. You will be given the formula for this so there is no need to memorise it. Just remember to substitute the radius into the formula to get your answer.

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Countdown to Exams - Day 56 - Area and Circumference (Circles)

Countdown to Exams - Day 56 - Area and Circumference (Circles)

In today's countdown, we focus on the topic of area and circumference of circles. As with all area formulae, you will need to memorise these for the area and circumference of a circle.  Make sure you are dealing with the element of the circle (diameter or radius) before you substitute into the formula. Always double check your calculations to see if your answer is reasonable (circumference is about three times the length of the diameter).

When calculating sector areas and arc lengths remember to work out the proportion of the circle you are dealing with (amount of degrees given over 360). Then it is a case of using the original formulae to calculate your answer.

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Business Studies Recap Day 30 - Inventory Stock Control Charts

 On day 30 of the year 12 recap we look at how a business can improve the management of its stock via an inventory control chart.

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Countdown to Exams - Day 55 - Circle definitions

Countdown to Exams - Day 55 - Circle definitions

In this quick countdown, we take a look at all the definitions of the parts of the circle. These will become useful when dealing with circle theorems, area problems involving circles and the equation of a circle. Make sure you are confident in the terms and where they are situated on a circle.

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Business Studies Recap Day 29 - Quality Initiatives

 On day 29 of the year 12 recap we look at quality initiatives that can be undertaken to improve the quality standards within a business.

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Countdown to Exams - Day 54 - Advanced areas

Countdown to Exams - Day 54 - Advanced areas

In today's countdown, we take a look at the more Advanced areas that you will come across. We start off with a Parallelogram which is base times height (perpendicular). Just imagine a 'tilted' rectangle. The formula for the trapezium is more complex but just follow the three steps of 1) Add the parallel sides, 2)Halve it, 3)Multiply by height (perpendicular). You might be required to use this formula to find the area under a graph as well as just a shape.

We finish off with the sine rule to find the area of a triangle when you have two sides and the included angle (no height). All area formulae need to be memorised so make sure you can recall them all.

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How does EzyScience work?

Making a good start with digital support is critical. Often previous experiences with digital mean that some students are reluctant, are challenging to engage and do not always use services effectively.

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Business Studies Recap Day 28 - Operational Data

 On day 28 of the Year 12 Recap we focus on a specific area of the operations division of a business and look at the operational data a business may collect.


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Countdown to Exams - Day 53 - Perimeter and Area

Countdown to Exams - Day 53 - Perimeter and Area

Today our focus is on Perimeter and Area. The Perimeter of a shape is the distance around a shape and will require you to add up all of the side lengths together. You may have to deal with numbers and algebraic terms so make sure you are confident in collecting like terms. You also need to be aware of the properties of shapes so you can fill in missing lengths because they are equal etc.

Area is the space inside a 2D-shape. It is normally calculated by multiplying two lengths together (a horizontal and a vertical length).

You must take care of the units you have been given in the question and convert them all to the same if required. You are not given any formula for an area so make sure memorise them all.

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Business Studies Recap Day 27 - Operational Objectives

 On day 27 of the year 12 recap we look at the main operational objectives which a business may have in mind when delivering a good or service to the market.

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Countdown to Exams - Day 52 - Equation of a circle

Countdown to Exams - Day 52 - Equation of a circle

On day 52 of the countdown, we approach the more complex topic of the Equation of a circle. There are a few areas of prior knowledge required to tackle the whole topic completely. You will need to be confident in calculating missing sides using Pythagoras' theorem (to find the radius), calculating the gradient (to find the equation of the radius and then the tangent). Knowledge of perpendicular lines will be required as well as memorising the general rule for the equation of a circle (x2+y2=r2)

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Business Studies Recap Day 26 - Analysing Cash Flow Forecasts

 On day 26 of the year 12 recap we analyse cash flow forecasts and how a business can improve its own cash flow position.


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Countdown to Exams - Day 51 - Reciprocal and Exponential graphs

Countdown to Exams - Day 51 - Reciprocal and Exponential graphs

In today's countdown, we take a look at the graphs of Reciprocal and Exponential functions. It is very important that you are able to distinguish between the shapes of the two graphs as you may be asked to fill in a table of values and plot the graph. If you know the shape, then you can check if your calculations are correct.

Make sure you know the key points of each graph and in an exam, check your answers so you do not lose simple marks.

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In Memory of Michael McCall

Everyone at EzyEducation was shocked to hear that our esteemed colleague, Dr Michael McCall, passed away last weekend.

Having read maths at St John's College, Cambridge and secured his PhD from Durham University, Michael entered a career in teaching. He most recently was the Head of Maths at The Portsmouth Grammar School for over a decade. As a teacher, Michael was a student's best friend. His ability to bring clarity to mathematics was astounding, and despite being a mathematician first and a teacher second, his dry wit made his classroom a delight.

Having retired from teaching, Michael joined EzyEducation as our maths consultant to oversee the development of our A Level maths course. He brought his years of experience, relentless attention detail and, most importantly, his fierce and incisive humour to the role. It was a role that Michael clearly enjoyed - hunting down every little error that threatens to destroy the student's experience and presenting his way of teaching topics on camera to benefit potentially hundreds of thousands of students in the future.

We enjoyed a celebratory curry recently in Michael's old stomping ground of Southsea to mark the completion of our AS course. He was on fine form as we looked forward to moving on to more difficult topics, or what he termed "getting closer to proper maths".

All of us will miss Michael, as I know will his former teaching colleagues and all the students who had the pleasure of his time.

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Business Studies Recap Day 25 - Cash Flow Forecasts

 On day 25 of the year 12 recap, we turn our attention to cash flow forecasts and the importance of cash flow for a business.


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Countdown to Exams - Day 50 - Quadratic and Cubic graphs

Countdown to Exams - Day 50 - Quadratic and Cubic graphs

Today we take a look at Quadratic and Cubic graphs. It is important to understand the shape of these graphs and identify where they cross the x and y axes as you will be asked questions about this. Sometimes you will be required to fill in a table of values and then plot the graph. Take care plotting the points and always check the shape of your graph. If it is a quadratic, is it symmetrical?

It is always worthwhile double/triple checking your work here to ensure accuracy.

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Business Studies Recap Day 24 - Analysing Break Even Charts

 On day 24 of the Year 12 recap, our analysis of break-even points continues by looking at break-even charts.

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Countdown to Exams - Day 49 - Contextual graphs

Countdown to Exams - Day 49 - Contextual graphs

In today's blog post, we take a look at everyday Contextual graphs and how to interpret the data within them. We take a look at Distance-time graphs initially where the gradient of the graph is calculated to be the speed. If your graph is non-linear then you ay have to use a tangent to work out the speed of an object at a specific point. You will also need to use the Speed/Distance/Time formula triangle to help with calculations. We then move onto Velocity-time graphs where the same principles occur except the gradient of the line is now acceleration and the area under the graph can be calculated to give the distance traveled. Finally, we finish off on financial graphs where we can do cost comparison or currency conversions by reading off the graph.

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Business Studies Recap Day 23 - Break Even Analysis

On day 23 of the Year 12 Recap we look at break-even points for a business and why it is important for any business to reach this particular point.

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