Summary
Highlights
Learn how to convert fractions to decimals, rounding to a specified number of decimal places. This section also demonstrates ordering values (decimals, fractions, and percentages) from greatest to least by converting them all to a common format, such as decimals.
This part focuses on calculating prices after multiple percentage discounts. Examples include determining the final price of a fridge after a 20% discount and an additional 2.5% off, and the price of a sofa after 25% and 5% discounts. The key is to apply discounts sequentially, not combined.
This section explains how to calculate percentage profit and loss. It includes examples like determining the percentage profit from selling a painting and calculating the percentage loss from selling a car, emphasizing the importance of using the original price as the base for calculations.
Learn how to calculate monthly loan payments, including interest and administration fees. An example demonstrates calculating 7.5% of a loan amount and then dividing the total repayment into equal monthly installments for a non-calculator scenario.
This segment covers calculating profit from share investments, including commission fees. An example shows how to determine the total cost of buying shares, selling them, and then subtracting a percentage-based commission from the selling price to find the net profit.
This part demonstrates how to calculate overall percentage scores in tests or exams. An example involves calculating marks achieved in two papers (given as percentages of maximum marks) and then finding the total percentage for the combined score.
This section reviews the order of operations (BIDMAS/BODMAS) for complex calculations. It clarifies common misconceptions about division/multiplication and addition/subtraction, emphasizing that operations of equal priority should be performed from left to right.
This segment covers appreciation and depreciation calculations over multiple years. Examples include calculating the expected number of pupils after four years with a 5.3% annual increase and predicting sales figures after a decrease and subsequent increase over two years.
Learn how to compare different investment options to determine the best value. An example involves analyzing a savings account with annual interest versus stocks and shares with a guaranteed return per thousand invested over a three-year period.
This part explains how to calculate total costs based on price tables and chosen options. An example involves determining the cost of a custom mirror by summing up prices for various features like glass type, coating, fixings, and backing, considering the area in square meters.
This section tackles complex cost calculations for orders with varying prices per item based on quantity and additional delivery charges. An example calculates the total cost of a sandwich order, incorporating quantity-based pricing and a per-mile delivery fee.
Learn how to evaluate and choose the most suitable internet package based on specific requirements and cost. An example walks through filtering options by speed, data usage, and contract length, then calculating the total annual cost for the remaining packages to find the cheapest.
This segment covers calculating the minimum ticket price needed to achieve a fundraising profit target. An example demonstrates summing up all expenses for an event, adding the desired profit, and then dividing by the number of tickets to find the individual ticket price.
This part focuses on calculating monthly installments and total costs for items purchased on a payment plan. Examples include determining monthly payments for a bathroom after a deposit and additional costs, and calculating monthly installments for a dining table after a deposit and final payment.
Learn how to determine the 'best buy' by comparing different deals for identical items. Examples include comparing prices for boxes of tiles from three different shops, each with unique offers like 'buy two, get one half price' or percentage discounts, and comparing cheese deals in Switzerland.
This section covers problems involving ratios and direct proportion. Examples include calculating the total number of bathrooms purchased based on a given ratio of payment methods and specific numbers for one category, and determining the volume of conditioner needed based on direct proportionality.
This part explains problems involving inverse proportion, where increasing one quantity decreases another. Examples include calculating how long it will take a larger team of workers to complete a task and determining how long sheep food will last with an increased number of sheep, along with date and time calculations.
This segment covers calculations involving tolerance and acceptable ranges. Examples include determining the percentage of foals that cannot be used based on a given weight tolerance and identifying the fraction of fire extinguishers that are safe within a specified percentage tolerance.
Learn various probability calculations, including those for events with multiple outcomes. Examples include calculating the probability of a bonus ball being less than eight in a lottery, determining the probability of not winning a spinner game, and finding the probability of winning a prize in a dice game or lucky dip.
This section focuses on speed, distance, and time calculations, often requiring unit conversions. Examples include determining the time left home based on arrival time, distance, and average speed, and calculating average speed over a run given points and time from a table.
This part tackles complex travel problems involving multiple modes of transport, currency conversions, and time zone adjustments. Examples include comparing the cost of flying from different airports (including fuel costs and parking) and determining the arrival time of a package with time zone differences and a long delivery period.
Apply the Pythagorean theorem to calculate unknown lengths and perimeters in geometric shapes. Examples include finding the direct distance to a lighthouse after two legs of travel and calculating the cost of fencing a garden with complex right-angled sections.
This section covers calculating the area of composite shapes by breaking them down into simpler geometric figures like triangles, squares, and rectangles. Examples include finding the area of a flag and determining the area of grass in a garden with an unusual shape.
Learn how to calculate the gradient of slopes and check if they fall within a specified tolerance. Examples include finding the gradient of a ramp (vertical over horizontal) and assessing the suitability of a skate park ramp based on its gradient and an allowed margin of error.
This segment focuses on reading and interpreting information from speedometers and thermometers, often requiring unit conversions. Examples include converting miles per hour to kilometers per hour from a speedometer and comparing temperatures in Celsius and Fahrenheit using a dual-scale thermometer.
Learn to complete activity network diagrams and perform critical path analysis to find the minimum time needed to complete a project. Examples involve completing a diagram for home renovations and calculating the minimum time for building new bikes in a bike shop.
This section covers optimizing box packing to maximize the number of smaller items in a larger container. Examples include finding the maximum number of standard boxes that can fit in a van, considering different orientations, and doing the same for biscuit tins in various box sizes.
Learn how to perform foreign exchange calculations, converting between different currencies. Examples include exchanging USD to Euros, converting Polish Zloty to Euros via Pounds, and calculating average earnings in a foreign currency back to Pounds.
This segment explains how to calculate net pay after various deductions (tax, national insurance, pension) and how many weeks it takes to save for a specific item. Examples include calculating weekly net pay and determining the number of weeks needed to save for a laptop or a holiday.
Learn to draw scatter graphs, plot data points, and draw a line of best fit. Examples include plotting elephant ages against shoulder heights and estimating the age of an elephant from the graph, and similarly for newborn baby data (weight vs. length).
This section covers calculating the mean and standard deviation of data sets. Examples include finding the mean and standard deviation for visitor numbers in shops and chlorine levels in hot tubs, followed by making valid comparisons between different data sets.
Learn to find the median, lower quartile, and upper quartile of a data set and construct a box plot. Examples include analyzing data on downloaded music and typing speed (words per minute), and using interquartile range for comparisons.
This segment teaches how to construct pie charts to illustrate proportional data. Examples include creating a pie chart for favorite pie flavors by calculating angles and drawing sectors, and similarly for a monthly budget, and interpreting data from existing pie charts.
This section serves as an introduction to the comprehensive exam preparation video for the National 5 Applications of Maths 2025. It highlights the video's coverage of every course topic and mentions an exclusive live stream for members and sponsorship by Leckie, offering practice books with a discount.
This segment covers various problems involving fractions and percentages. Examples include calculating cake left over after consumption, determining neutral supporters in a crowd, finding the fraction of flour in a cookie dough mix, and comparing reading progress using percentages and fractions.