Although the following questions are predominantly from the OCR, OCR MEI and Edexcel exam boards, they are suitable practice for all UK A Level Maths qualifications unless otherwise stated. Section We have the following scenario (a ball of mass 3kg is moving to the right with velocity 3m/s and a ball of mass 1kg is moving to the left with velocity 2m/s): Letters used to represent vectors should always be underlined or in bold type. For example, the velocity of an object may be represented by v. Since this is a vector quantity, it is in bold type. Small case letters are usually used to represent vectors. In addition to the resources listed below, I recommend Integral(school login required) which provides topic notes, worksheets, activities and assessments. Also, the National STEM Centre eLibrary has a good range of mechanics resources, including the excellent Mechanics in Action investigations. Please send additional resource recommendations to [email protected]. The assessment is structured in two sections of approximately 50 marks each: pure mathematics and mechanics. Each section has a gradient of difficulty throughout the section and consists of a mix of short and long questions.

Students must take all components and explore the content in detail to be awarded the OCR A Level in Mathematics A. Content overviewThe assessment is structured in two sections: approximately 50 marks of pure mathematics and approximately 25 marks of statistics. Each section has a gradient of difficulty throughout the section and consists of a mix of short and long questions. Some questions will be set on the pre-release data set. The assessment is structured in two sections of approximately 50 marks each: pure mathematics and statistics. Each section has a gradient of difficulty throughout the section and consists of a mix of short and long questions. Some questions will be set on the pre-release data set. In the diagram above, the vector r has magnitude r and direction j to the x-axis. Using basic trigonometry, we can calculate that the component of r in the direction of the x-axis is rcos j. The component in the direction of the y-axis is rsin j. Therefore r = rcos j i + rsin j j.

These overarching themes should be applied, along with associated mathematical thinking and understanding, across the whole of the detailed content in the specification: Assumptions help reduce the complexities of real-life applications of mechanics by ignoring certain variables. Students must take both components to be awarded the OCR AS Level in Mathematics A. Content overview

The assessment is structured in two sections: approximately 50 marks of pure mathematics and approximately 25 marks of mechanics. Each section has a gradient of difficulty throughout the section and consists of a mix of short and long questions. Kinematics is an area of study that focuses on the movement of objects, disregarding the forces that cause the movements. Statics deal with objects at rest and ones that are moving with constant velocity. In this case, the forces acting over the objects are at equilibrium. Supports Paper 4 of the Cambridge International AS & A Level Mathematics syllabus for examination from 2020 If two vectors are added together, the resultantis found by placing the vectors to be added end to end. If the vectors are given in unit vector form, you simply add together the i, j and k values.

A unit vector is a vector which has a magnitude of 1. There are three important unit vectors which are commonly used and these are the vectors in the direction of the x, y and z-axes. The unit vector in the direction of the x-axis is i, the unit vector in the direction of the y-axis is j and the unit vector in the direction of the z-axis is k. A vector quantity has both magnitude and direction. Acceleration, velocity, force and displacement are all examples of vector quantities. A scalar quantity has magnitude, so the direction is not important, (examples include speed, time and distance). A scalar can also have sign (such as work done and charge). Edexcel’s latest Scheme of Work document now includes many links for the use of technology as well as all the very useful notes for teachers. A link from the Mechanics notes led to these CG50 Mechanics resources. Casio CG50 Mechanics Resources Mass is one significant variable to be considered when exploring the effects of motion in objects, and mass is a central variable in Newton's second law.

Velocity Time Graphs

Resources align to the syllabus they support, and have been through a detailed quality assurance process. This text builds fluency in algebraic manipulation and introduces new areas including 3D vectors, differential equations and complex numbers. Extensive and varied practice sections build the key mathematical skills along with a focus on mathematics in life and work. Online answer key available. Suppose we are told that after the collision, the ball of mass 1kg moves away with velocity 2m/s, then we can use the principle of conservation of momentum to determine the velocity of the other ball after the collision.

Therefore, if no other forces act on the bodies (in the direction of collision), then the total momentum of the two bodies will be unchanged. Hence the total momentum before collision in a particular direction = total momentum after in a particular direction.

The assessment has a gradient of difficulty throughout the paper and consists of a mix of short and long questions. Since the vectors are given in i, j form, we can easily calculate the resultant. 3 i + j - 5 i + j = -2 i + 2 j Hammer vs feather - physics on the moon- get students to do their own calculations of the acceleration of gravity. They can estimate the height from where they are dropped, they can all time it with their phones, and they know initial velocity is zero(1.5 minutes) Edexcel’s GeoGebra resources include a small number for Mechanics at A level, and more for Further Maths. Mathematics When you select Answers and full worked solutions for any book, see Edexcel Appliedfor example, as well as the pdf document of questions with full worked solutions for the ‘Target your revision’, ‘Exam-style’ and ‘Review’ questions, you will find test yourself multiple-choice questions for each section.