Daily Maths Revision – Week 10 Walkthrough

If you’re struggling with this week’s questions, this walkthrough should help you get the skills you need. This week, we’re exploring: Question 1: Adding and Subtracting Algebraic Fractions The key to adding or subtracting fractions is having a common denominator. This is the case whether or not the fractions are algebraic – we need to find a common denominator for the fractions before adding or subtracting. Make sure you are confident with expanding double brackets. Take a look at week 9 if you need a reminder. Simplify the expression below: We need to get both terms in this expression to … Continue reading Daily Maths Revision – Week 10 Walkthrough

Daily Maths Revision – Week 9 Walkthrough

If you’re struggling with this week’s questions, this walkthrough should help you get the skills you need. This week, we’re exploring: Question 1: Similar Solids Two shapes are similar if one is an enlargement of the other. The key to solving problems involving similar shapes is finding the scale factor. The two prisms below are similar. The surface area of the smaller prism is 243cm2. Find the surface area of the larger prism. First, we compare the two lengths we’re given. By dividing the larger length by the smaller length, we can find the scale factor for length. Scale factor … Continue reading Daily Maths Revision – Week 9 Walkthrough

Daily Maths Revision – Week 8 Walkthrough

If you’re struggling with this week’s questions, this walkthrough should help you get the skills you need. This week, we’re exploring: Question 1: Box Plots A box plot, sometimes called a box and whisker diagram, is a way of displaying data. Five vertical lines are marked; at the minimum value, the lower quartile, the median, the upper quartile and the maximum value. For a reminder on how to find the upper and lower quartile, take a look at week 2. We will use the same set of values in the example below. Draw a box plot for the following data. … Continue reading Daily Maths Revision – Week 8 Walkthrough

Daily Maths Revision – Week 7 Walkthrough

If you’re struggling with this week’s questions, this walkthrough should help you get the skills you need. If it’s a formula you need, here are the ones that are relevant this week. You’re not given these in the exam, so you need to learn them. Density This week, we’re exploring: Question 1: Rationalising Surds Rationalising a surd means finding an equivalent fraction that has an integer as the denominator. In other words, you want to manipulate the fraction so that any surds are on the top. Let’s simplify: To eliminate the surd in the denominator, we multiply the denominator by … Continue reading Daily Maths Revision – Week 7 Walkthrough

The Ultimate GCSE A Christmas Carol Guide

Cosy Christmas story? Well, it’s not for the supernaturally disinclined, but Dickens assuredly exploits the power of a joyful atmosphere to overcome the haunting gloominess of life. It’s a novella that has a special place in classrooms and homes whatever the time of year, exactly as its author intended. Christmas Cheer or Christmas Fear? It’s widely acknowledged that Dickens’ use of Christmas spirits as a force for change is both festive and frightening in equal measure. He penned a tale about the evils of ignorance, the merciless exploitation of employees and an unforgiving class divide: themes that certainly aren’t Christmassy, … Continue reading The Ultimate GCSE A Christmas Carol Guide

Daily Maths Revision – Week 6 Walkthrough

If you’re struggling with this week’s questions, this walkthrough should help you get the skills you need. If it’s a formula you need, these are the relevant ones this week. Sectors The Area of a Triangle In the 2023 exams, you will be given the area of a triangle but you won’t be given the formula for the area of a sector. This week, we’re exploring: Question 1: Area of a Sector A sector is simply a fraction of a circle – you can think of it as a pizza slice. To find the area of a sector, we need … Continue reading Daily Maths Revision – Week 6 Walkthrough

Daily Maths Revision – Week 5 Walkthrough

If you’re struggling with this week’s questions, this walkthrough should help you get the skills you need. If it’s a formula you need, this is the relevant one this week. Arc Length This week, we’re exploring: Question 1: Probability Tree Diagrams Probability trees are a brilliant way to organise different outcomes and their probabilities in a clear and easy-to-use way. Let’s say the probability of Hugo winning a game is 0.7. He is going to play the game twice. What is the probability that he wins at least one game? We should always use a probability tree to answer questions … Continue reading Daily Maths Revision – Week 5 Walkthrough

Daily Maths Revision – Week 4 Walkthrough

If you’re struggling with this week’s questions, this walkthrough should help you get the skills you need. This week, we’re exploring: Question 1: Fractional Indices Let’s start with a general rule and then we will look at how we apply that rule: This looks a bit complicated but it’s simpler than it looks. If we have a number to the power of one half, we take the square root; if it’s to the power of one third, we take the cube root and so on.  Here are some examples: On the last example, we take the fifth root. With a … Continue reading Daily Maths Revision – Week 4 Walkthrough