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This resource is aimed at Key Stage 3 students, introducing, explaining and giving examples of the use of many common and uncommon mathematical notations they may encounter in maths lessons! KS4 students may also find this useful, as it covers some more advanced symbols such as factorial, proportionality, and the shorthand ‘therefore’ and ‘because’ symbols to neaten their workings. Consider supporting Embermaths by leaving a review, and purchasing any of our worksheets!

This worksheet is designed for KS3 and early KS4 physics students to build confidence and fluency in working with the relationship between density, mass, and volume. It contains a range of scaffolded and applied questions that gradually increase in complexity, helping students to consolidate key skills while engaging with real-world contexts. The tasks cover unit recognition, straightforward density calculations, and volume computations for a variety of 3D shapes including cubes, spheres, cylinders, and cones. Students are also given opportunities to apply their understanding in context-based problems involving materials such as gold, carrots, and tin cans. The final extension question challenges students to combine their knowledge of momentum, energy, and volume to determine the density of a falling object. This resource is suitable for a 40 to 50 minute lesson and can be used flexibly as independent work, homework, or revision. An accompanying answer sheet is included to support self-assessment, peer review, or teacher marking. It aligns well with key learning objectives in the KS3 national curriculum and KS4 GCSE specifications across major exam boards. The sheet is a .pdf file and readily printable.

Challenge and engage your students with this comprehensive KS3/KS4 Physics worksheet on moments (turning forces), designed to build problem-solving skills and deepen conceptual understanding. Covering key topics such as calculating moments, equilibrium, see-saws, doors, and real-world applications (like cars and swings), this resource includes 8 diverse, exam-style questions with diagrams and an answer sheet for self-assessment or guided marking. Perfect for classroom lessons, homework, or revision, the sheet is calculator-friendly and takes approximately 40–50 minutes to complete. It supports learners in applying formulas, working with forces and distances, and analyzing scenarios involving balanced and unbalanced moments.

Specific Heat Capacity Worksheet | KS3 / KS4 Physics Revision and Practice This printable physics worksheet helps students develop a solid understanding of specific heat capacity through a series of structured questions suitable for Key Stage 3 and 4. Designed to take approximately 35 to 45 minutes, the sheet is ideal for use in lessons, as homework, or for independent revision. It supports calculator use and includes a full answer sheet to allow for self-assessment or guided review. The resource covers both conceptual understanding and mathematical application. Questions explore the definition of specific heat capacity, use of the energy formula Q=mcΔT, and real-world examples involving thermal energy. Students are asked to interpret temperature data, solve calculations with correct units and significant figures, and explain energy transfer using particle theory. A practical scenario based on thermometer readings is included, along with stretch questions for more advanced learners. This worksheet is suitable for a range of learning contexts, including classroom teaching, revision sessions, cover lessons, and targeted intervention. It promotes confidence in handling physics equations and understanding thermal processes, aligning well with GCSE physics specifications. Key topics include specific heat capacity, thermal energy, energy transfer, particle theory, and heat calculations. The questions are designed to reinforce both knowledge and exam-style skills in thermal physics.

Kinetic and Gravitational Potential Energy Worksheet | KS3 / KS4 Physics Practice This structured worksheet helps students strengthen their understanding of kinetic energy, gravitational potential energy (GPE), and energy transfers. Aimed at Key Stage 3 and 4 learners, it includes calculation-based problems and conceptual questions that align with GCSE Physics learning objectives. The tasks are designed to take approximately 40 minutes and are suitable for use in lessons, as homework, or for revision. Students will calculate mechanical energy, work with changes in kinetic and potential energy, and apply formulas in realistic contexts involving seagulls, drones, cannonballs, and spaceships. Questions encourage use of the equations Ek = ½mv² and Ep = mgh, and include interpretation of changes in speed, height, and mechanical energy. The worksheet also introduces the concept of work as force multiplied by distance, linking to energy dissipation through friction. This resource supports the development of both mathematical and conceptual skills in thermal and mechanical physics, and includes a complete answer sheet for marking or self-checking. It is ideal for lesson activities, exam prep, cover lessons, or independent study. Key topics include kinetic energy, gravitational potential energy, mechanical energy, energy transfers, work done, energy dissipation, and the relationship between force, distance, and energy.

The Universe Worksheet | KS3 Physics and Astronomy This engaging and informative worksheet introduces Key Stage 3 students to the structure and scale of the Universe, combining planetary science, gravitational forces, and astronomical concepts in a 45-minute activity. It is ideal for classroom use, homework, or revision and supports calculator use for relevant numerical questions. The worksheet covers the Solar System, moons, galaxies, and the Milky Way, as well as the difference between rocky and gas planets. Students apply knowledge of gravitational force using the formula F=mg, calculate weight on different planets, and interpret how gravity changes with mass and distance. Additional questions explore the concept of light years, Earth’s orbit, seasons, and key celestial events like solstices and equinoxes. This resource builds confidence in both conceptual understanding and scientific reasoning. A full answer sheet is included, making it suitable for self-marking, guided correction, or homework review. It aligns well with the KS3 science curriculum and lays foundational knowledge for future GCSE studies in physics and astronomy. Key learning areas include planetary order and classification, gravitational strength, light year calculations, orbital dynamics, seasonal changes, and basic cosmology.

Momentum Worksheet | KS3 / KS4 Physics Calculations and Conservation This physics worksheet helps students deepen their understanding of momentum through structured calculation-based problems and conceptual questions. Aimed at Key Stage 3 and 4 learners, it is ideal for use in a 35–45 minute lesson, homework assignment, or revision session. The sheet supports calculator use and includes realistic application scenarios involving cars, footballs, collisions, and everyday objects. Learners are guided to calculate momentum using p=mv, work with unit conversions, and apply the principle of conservation of momentum to elastic and inelastic collisions. The tasks progress from basic calculations to more complex, multi-step problems involving changes in momentum, system mass, and relative motion. Situations include objects bouncing off surfaces, falling from moving vehicles, and post-collision velocities for combined or separate masses. This worksheet is ideal for building fluency with the momentum formula, reinforcing Newtonian physics concepts, and linking theory with practical contexts. A complete answer sheet can be included for self-assessment or teacher marking. Key concepts include linear momentum, conservation of momentum, elastic and inelastic collisions, mass-velocity relationships, and unit handling in physics calculations.

This worksheet is aimed at Year 8-9 students and covers solving and using linear equations in a range of contexts, which students tend to find more challenging. In this sheet, students will use algebra to find perimeters and areas of shapes, find equations of lines, and be introduced to basic simultaneous equations (which requires no prior knowledge of these, just intuition), to provide a more challenging sheet to really stretch your students. This worksheet is designed to take approximately 40 minutes, and so is perfect for homework, or for use in class! The Embermaths Year 7/8 Maths Worksheets Complete Bundles are out now!

This worksheet is aimed at Year 8-9 students and covers range, mean, median and mode for simple data sets, as well as bar charts, pie charts and tally tables. Questions include finding the mean, median, mode and range of different data sets with a variety of real-life contexts, interpreting a bar chart, and plotting a bar chart and pie chart from a tally table. This worksheet is designed to take approximately 40-60 minutes, and so is perfect for homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!

This worksheet is aimed at Year 8 students and covers a range of ratio questions in a variety of contexts, such as fish in a lake, animals on a farm, angles within a shape and sharing money. The sheet covers all ways ratio is commonly asked in exams, and is designed to take approximately 40 minutes, so this worksheet is perfect for homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!

This worksheet is aimed at Year 8-9 students and covers percentages of a value, percentage discount in shops, and simple calculations with interest rates (appreciation and depreciation), with calculator and non-calculator questions. There are also more challenging questions involving the population increase of rabbits over time and the interest over time in a savings account. This worksheet is designed to take approximately 40-50 minutes, and so is perfect for homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!

This worksheet is aimed at Year 8-9 students and covers direct and inverse proportionality with example questions including working out how much it will cost to buy a certain amount of an item following a proportionate relationship with price, how long it will take builders to build a house and recognizing graphs describing different relationships. This worksheet is designed to take approximately 40 minutes, and so is perfect for homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!

This KS3 worksheet is aimed at Year 7-8 students and tests student’s ability to use simple geometric properties to find angles without using a protractor. The sheet encourages students to notice the relationship between internal polygon angles and the number of sides the polygon has, as well as a series of questions involving using lines and shapes to work out unknown angles. Designed to take approximately 30-40 minutes, this worksheet is perfect for revision, homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!

This worksheet is aimed at Year 8 students and covers the topic of line equations in the form y = mx + c. The sheet covers a range of question types including plotting lines from an equation, interpreting intercepts and gradients, finding the equation of a line from coordinates and a contextual question involving a linear model of a plant’s growth. This worksheet is designed to take approximately 45-60 minutes, and so is perfect for homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!

This KS3 worksheet is aimed at Year 7-8 students and introduces students to using a scientific calculator. The sheet contains exercises involving sin, cos, tan, e, powers and roots as well as stressing the importance of brackets using a ‘spot the error’ style question. Designed to take approximately 30-40 minutes, this worksheet is perfect for revision, homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!

This KS3 worksheet is aimed at Year 7-8 students and introduces students to 3D shapes including cubes, cuboids, triangular prisms, spheres, cones and cylinders. The sheet features problems involving the volume, density and surface area of these shapes in a variety of contextual problems. Designed to take approximately 45 minutes, so this worksheet is perfect for revision, homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!

This worksheet is aimed at Year 7 students and covers fractions, including simplifying and fraction arithmetic. This sheet contains many quick-fire questions in different formats, with a full answer sheet provided. Designed to take approximately 60 minutes. The Embermaths Year 7 and 8 Complete Bundles are out now!

This worksheet is aimed at Year 7 students and covers questions relating to finding multiples, factors, prime factors of different numbers and introduces students to integer exponents, and powers. This sheet contains many quick-fire questions in different formats, with a full answer sheet provided. Designed to take approximately 45 minutes. The Embermaths Year 7 and 8 Complete Bundles are out now!

This worksheet is aimed at Year 7 students and tests their ability to identify shapes, as well as to find simple perimeters and areas of a variety of shapes through a range of question formats, with a full answer sheet provided. Designed to take approximately 40-50 minutes. The Embermaths Year 7 and 8 Complete Bundles are out now!

This worksheet is aimed at Year 7-8 students and covers arithmetic sequences, involving activities like finding the next terms, filling in gaps, finding the nth term and using it to find far off terms, and finally some contextual questions involving sequences. Designed to take approximately 45-60 minutes, so this worksheet is perfect for homework, or for use in class! The Embermaths Year 7 and 8 Complete Bundles are out now!