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GCSE - Advanced volume and surface area problems

GCSE - Advanced volume and surface area problems

This worksheet is aimed at students capable of attaining levels 6, 7, 8 or 9 of the new maths specification. This is a high-quality resource but priced low to encourage sales. I'm not bothered so much about the money, I just want people to use it and evaluate it. Worksheet consists of three longer, challenging exam-style exercises based on practical applications, using formulae for cylinders and spheres. The last sheet lists the formulae students will need to use. Diagrams are used to illustrate all three exercises. Each exercise has multiple parts. The 1st exercise requires additional skills with ratios; the 2nd requires skills in both simultaneous and quadratic equations (this is hinted at in the question by saying 'Using an algebraic method..'); and the 3rd requires skill in creating an equation that links the volumes of a cylinder and a hemisphere. In the latter, calculation of the surface area of the machine part (see cover image) is more complex than normal, though entirely logical. This is a Level 8 or 9 type of exercise, but is not too difficult as long as a methodical approach is taken. This exercise also includes using density and volume to calculate a mass of zinc needed to galvanise a production run of the machine part. There are also various measurement conversions required such as converting cubic millimetres to cubic centimetres and litres, and grams to kilograms. DOCX and PDF worksheets supplied along with 9 pages of fully-worked model answers in JPEG format.
Kevald
Functional Maths Level 2 Part 6

Functional Maths Level 2 Part 6

Six worksheets with mixed word problems on a variety of real life problems involving measuring capacity, volume, angles and distances. Draw probability spinners, design a box, investigate paper sizes, saving water, compare volumes of storage boxes and see how to fit small boxes efficiently into a large carton Illustrated with adult characters and includes written model answers. For more functional maths resources visit http://www.skillsheets.co.uk/FunctionalSkillsheets.co.uk For more resources like this please visit the SKILLSHEETS Shop
Skillsheets
Year 10 Mathematics Combined Chapter Assessment 1 and 2

Year 10 Mathematics Combined Chapter Assessment 1 and 2

2 Assessment papers containing over 30 questions suited for IGCSE students which questions including fractions, decimals, percentages, ratios, probability, indices, factorisation, angles of depression and elevation, solving simultaneous equations, solving quadratic equations, trigonometry, shapes and polygons, sequencing, bearings, circles and angles, volume and surface area calculations, transformation and enlargement, straight line equations, simple and compound interest calculations and data analysis. Assessments suited for students in KS 4.
will2share_kam
3D shape quiz quiz trade cards

3D shape quiz quiz trade cards

Learning about 3D shapes? Why not kick off the lesson with a quiz quiz trade to get everyone moving and using mathematical vocabulary. Just print off enough cards for one per child or get adults involved too.
extra golden-time
The MFM1P 6000, Grade 9 Applied Culminating Activity - Simply Amazing!

The MFM1P 6000, Grade 9 Applied Culminating Activity - Simply Amazing!

A fresh approach to a culminating activity for grade 9 applied math, far from the routine pencil and paper! The "MFM1P 6000" is an interactive computer game which gives students an opportunity to show what they have learned, using models and strategies used in current MFM1P classes, while providing endless opportunity for practice and timely remedial help! Students receive instant automated feedback worded in growth mindset language. This program also provides teachers an extensive summary of students strengths and areas of difficulty. Download Tip ◾Your computer will flag the program as a virus. It is just doing it's job as it should for any unknown executable file! Be assured it is safe. Click "more info" and then "Run Anyway" etc. I know how tough it can be to motivate students to review material from the start of the semester in preparation for EQAO and the final exam. Set them loose in a computer lab for a few days with the MFM1P 6000 and watch the magic happen! Please visit calfordmath.ca/MFM1P6000 for a complete layout of the culminating activity including a complete curriculum connection list, and an up-to-date list of bug fixes and changes. This activity generates every single problem randomly so that every student has a different set of problems and can try as many attempts as necessary to master each topic. The topics span the MFM1P curriculum, and are arranged in difficulty from $100 to $500 score value. To earn 100%, a student must earn $6000 or more, and complete at least two problems from each category. I had tremendous engagement and much EQAO success with my grade 9 applied class last year when I piloted this activity. I have also added and tweaked many things! The game is a Windows Desktop Application designed for a PC. It is not web based, so you will need to copy the game file to a public handout folder where students can open it. I think you and your students will LOVE this! I would love to hear how it goes with your class, and I welcome any suggestions you have! Thanks for checking this out, ~CalfordMath
CalfordMath
Key Stage 2 CHRISTMAS NUMERACY BUNDLE

Key Stage 2 CHRISTMAS NUMERACY BUNDLE

This giant bundle of resources is everything a teacher needs in the busy Christmas period. There are a range of numeracy tasks to suit all abilities. The resources are bright, festive and fun while still covering NC requirements. They can be picked-up and put-down between other 'Christmas' activities and the children really enjoy completing them.
crigdon
Measurement Test Generator for Year 9

Measurement Test Generator for Year 9

This resource has been created in Microsoft Excel and is designed to be used as a test or practice test for Year 9 Measurement. Knowledge assessed includes: Perimeter, area, volume, total surface area and conversion between units in one, two and three dimensions. Admittedly, this resource does not comprehensively allow students to demonstrate knowledge at the A level against the Australian Curriculum for Year 9 as there is only one challenging worded problem at the end. I created this resource because I love having students ask for practice questions, but hate writing new questions and their solutions. This resource contains multiple choice questions and short answer questions as well as a solutions tab to each question for printing solutions. All values, and most worded problems are randomly generated from the 'Variables' tab to produce a unique set of questions when F9 (Windows) or fn F9 (Mac) are pressed. Most multiple choice questions will have their answer order randomized. Solutions are generated to match.
robertkaitse
7th Grade Math Stations Bundle

7th Grade Math Stations Bundle

These middle school math stations are just what you need to help your students develop a deep understanding of mathematics. There are at least four stations in each set. The focus of these stations is for students to discover and apply mathematical principles. The students will delve into the mathematics and gain a strong foundation. These stations are set to take one to two class periods. These are great for group work but also work well as homework, assessments or individual work. Included in all stations is a recording sheet and answer sheet. What makes these different than other math stations available? Make Sense of Math stations are created with the intent that students will conceptually understand the mathematical concepts. These math stations are not simply "busy work" worksheets. Students will write, model, justify, create, explain and practice the mathematics.
micsigaran
Volume of Cones and Spheres Math Stations

Volume of Cones and Spheres Math Stations

These volume of cones and spheres math stations help students to discover, apply and practice volumes. Students will discover the volume formulas for cones and spheres through a discovery task. Students will apply these volume formulas to applied tasks. Students will then practice the formula for volumes of cones and spheres. Also included, is a volume challenge task to extend their thinking. Students will develop a deep understanding of this content after completing these math stations. This product includes seven math stations. Each station will take about 15 – 20 minutes to complete. I would not do these all in one day, as they require a lot of problem-solving and higher-order thinking skills. Students will need time to process their thinking and reason through the problems. Students will be most successful if they are given enough time to complete these stations. These would also be great to use as homework, group work or assessments. A recording sheet and answer sheet is also included. Required Materials To accurately complete these math stations students will need access to a hollow cylinder, a cone and a hemisphere that have the same radius. The cone and the cylinder need to be the same height as well. These can be purchased for a reasonable price. If you do not wish to purchase these items, they can also be made. You can use a can as a cylinder and create the cone and hemisphere out of aluminum foil using the cylinder as your guide.
micsigaran
KS3. G6. Construction and 3D Shapes

KS3. G6. Construction and 3D Shapes

In this power point I have included all basic topics in KS3 (grade 6) about construction and 3D shapes that you can use to work with your students for approximately five lessons, each lesson includes at least one PDF worksheet to practice different activities and a ppt format file that you can edit. The learning objectives are: - Draw triangles and quadrilateral using a ruler and protractor - Use and construct a scale drawing. - Know various 3D shapes and their names. - Count vertices, faces and ages of a 3D Shape. - Use isometric paper to draw 3D shapes. - Find the surface area using nets. While you´re exploring the lessons you will find signs of practices and examples you can link to those specific lessons.
mariocaas
Area Surface Area and Volume Math Stations

Area Surface Area and Volume Math Stations

These area and volume math stations delve into area of irregular shapes, 3d surface area and volume. Students will analyze, create, calculate, explain, and apply the math to real-world situations. The Following Stations are Included: • Polygonal Area: Students will use their higher-order thinking skills to calculate the area of different shaped polygons. • 3d Surface Area and Volume: Students will calculate the surface area and volume of 3-dimensional figures. bull; Applied Surface Area and Volume: Students will solve real-world problems involving surface area and volume. • Dog House Design: Students will design a doghouse that must meet certain surface and volume conditions. Each station should take students 15-20 minutes to complete. This would be a good two-day activity. These math centers are aligned with common core 7.G.B.6 These would also be great to use as homework or assessments. These are perfect for math 7, but could also be an extension for math 6 or review for math 8. Recording sheet and answer sheet is included.
micsigaran
Junior Geometry - Topics 1-10

Junior Geometry - Topics 1-10

Bringing together the 1st 10 of 20 Topics in the GetMathsFit Junior Geometry series. This is over 350 pages of worked exemplar, explanation, definition of meaning & concept, exercises and model solutions. The teaching is logical, sequential and thorough without the need to refer elsewhere. From an introduction to points, lines and angles students explore and learn further characteristics, physical skills and reasoning with plane figures, symmetry, parallel lines, Pythagoras, similarity, congruence and finally proofs and problem solving with angles and parallel lines. Use for in-class introductions, group work, plenaries and differentiation as well as a home self study, revision and reference resource.
GetMathsFit