This document contains two question papers with multiple choice and short answer questions about calculating perimeters, areas, volumes, and surface areas of 2D and 3D shapes made up of combinations of basic geometric shapes. The questions involve diagrams of composite shapes and solids and require applying formulas to find values like perimeters, areas, volumes, lengths and prices. Some questions provide additional information like measurements or part of the calculation to solve for the missing value.
The document provides information about calculating the surface area and volume of different 3D shapes like cubes, cuboids, prisms, and cylinders. It includes formulas, examples of working through surface area and volume calculations for various shapes, and explanations of concepts like using nets and thinking of composite shapes as combinations of simpler components.
The document is the cover page for a mathematics exam paper for Form 4 students in Malaysia. It provides instructions for students, including the time allotted (1 hour and 15 minutes), a reminder not to open the paper until instructed, and information that the paper contains 40 questions. It also lists some common mathematical formulas that may be useful for answering the questions.
The document contains 5 math problems involving calculating volumes of 3D shapes:
1. Finding the height of a cone joined to a cylinder given the volumes is 231 cm^3.
2. Calculating the volume of a solid cone with a cylinder removed.
3. Finding the volume of a cylinder with a hemispherical section removed.
4. Determining the volume of a solid formed by joining a cone and hemisphere.
5. Calculating the volume of a container made of a cuboid and a cylindrical quadrant.
The document is a study guide for geometry concepts including formulas for area, perimeter, surface area, and volume of various shapes. It includes yes or no questions to check understanding of formulas and definitions for triangles, parallelograms, circles, prisms, pyramids, cylinders, and cones. It then provides examples of applying the formulas to calculate measurements of different shapes.
This document provides instructions on how to construct and use various types of scales including plain, diagonal, vernier, comparative, and cord scales. Plain scales can be used to measure dimensions up to a single decimal place, while diagonal and vernier scales allow for measurements up to two decimals. Examples are given for how to draw scales with specific representative factors and measure or represent given distances on each type of scale. Formulas are also provided for calculating representative factors from an object's actual and drawn dimensions.
1. The document contains 10 mathematics word problems involving the calculation of areas and perimeters of circles, sectors, and composite shapes made of circles and lines. Various formulas involving pi, radii, arcs, and sectors are used.
2. The problems are presented with diagrams and given information such as lengths of arcs, radii, angles. Students are asked to use circle formulas to calculate perimeters and areas.
3. Detailed step-by-step working is shown for each problem, applying concepts like finding arc lengths, subtracting overlapping regions, and combining components of composite shapes.
The document contains instructions and diagrams for 6 mathematics problems involving plans and elevations of 3D shapes. Students are asked to draw the plans and elevations of prisms, combined prisms, and prisms with half-cylinders attached. The problems involve multiple steps of interpreting diagrams, identifying corresponding sides between views, and drawing the views to scale.
The document provides information about calculating the surface area and volume of different 3D shapes like cubes, cuboids, prisms, and cylinders. It includes formulas, examples of working through surface area and volume calculations for various shapes, and explanations of concepts like using nets and thinking of composite shapes as combinations of simpler components.
The document is the cover page for a mathematics exam paper for Form 4 students in Malaysia. It provides instructions for students, including the time allotted (1 hour and 15 minutes), a reminder not to open the paper until instructed, and information that the paper contains 40 questions. It also lists some common mathematical formulas that may be useful for answering the questions.
The document contains 5 math problems involving calculating volumes of 3D shapes:
1. Finding the height of a cone joined to a cylinder given the volumes is 231 cm^3.
2. Calculating the volume of a solid cone with a cylinder removed.
3. Finding the volume of a cylinder with a hemispherical section removed.
4. Determining the volume of a solid formed by joining a cone and hemisphere.
5. Calculating the volume of a container made of a cuboid and a cylindrical quadrant.
The document is a study guide for geometry concepts including formulas for area, perimeter, surface area, and volume of various shapes. It includes yes or no questions to check understanding of formulas and definitions for triangles, parallelograms, circles, prisms, pyramids, cylinders, and cones. It then provides examples of applying the formulas to calculate measurements of different shapes.
This document provides instructions on how to construct and use various types of scales including plain, diagonal, vernier, comparative, and cord scales. Plain scales can be used to measure dimensions up to a single decimal place, while diagonal and vernier scales allow for measurements up to two decimals. Examples are given for how to draw scales with specific representative factors and measure or represent given distances on each type of scale. Formulas are also provided for calculating representative factors from an object's actual and drawn dimensions.
1. The document contains 10 mathematics word problems involving the calculation of areas and perimeters of circles, sectors, and composite shapes made of circles and lines. Various formulas involving pi, radii, arcs, and sectors are used.
2. The problems are presented with diagrams and given information such as lengths of arcs, radii, angles. Students are asked to use circle formulas to calculate perimeters and areas.
3. Detailed step-by-step working is shown for each problem, applying concepts like finding arc lengths, subtracting overlapping regions, and combining components of composite shapes.
The document contains instructions and diagrams for 6 mathematics problems involving plans and elevations of 3D shapes. Students are asked to draw the plans and elevations of prisms, combined prisms, and prisms with half-cylinders attached. The problems involve multiple steps of interpreting diagrams, identifying corresponding sides between views, and drawing the views to scale.
This document is a methodological guide containing control work assignments in mathematics. It includes an introduction and 7 control works corresponding to topics in the mathematics curriculum. Each control work contains reference materials, assignment questions at three levels of difficulty (A, B, C) and grading criteria. The questions are designed to quickly check students' knowledge of each topic and identify their level of understanding. This guide is intended to help teachers objectively evaluate students and differentiate instruction based on students' mastery of the material.
1. A solid right prism with a rectangular base is shown. Plans and elevations are drawn to scale of the prism and when combined with a solid cuboid.
2. A solid with a cuboid and half cylinder joined is shown. Plans and elevations are drawn to scale of the solid and when combined with a solid right prism.
3. A solid consisting of a right prism and half cylinder is shown. Plans and elevations are drawn to scale.
4. A solid right prism is shown. Plans and elevations are drawn to scale of the prism and when combined with a solid cuboid.
5. A solid right prism with trapez
The document contains 10 problems involving calculating angles between lines and planes in 3-dimensional space. Specifically, it contains:
1) Problems calculating angles between lines and planes in pyramids and cuboids.
2) A diagnostic test with 10 multiple choice questions assessing the ability to name and calculate angles between lines and planes in various 3D shapes.
3) The document provides practice for understanding lines and planes in 3D geometry, particularly as it relates to pyramids, cuboids, and calculating angles between geometric elements in 3-dimensional space.
This document provides a methodological guide with 9 practical works on mathematics. It includes explanatory notes and covers the following topics: construction of sections, areas of surfaces and volumes of polyhedra, vector operations, solving algebraic equations and inequalities, roots and degrees, logarithms and their properties, basics of trigonometry, differentiation rules, finding integrals and calculating volumes. The practical works aim to practice skills for each topic and assess the mastery of the material. Students are advised to complete the tasks in order while applying the proper formulas and techniques.
The document contains 7 multi-step word problems involving the calculation of volumes of various solids. Diagrams are provided with each problem showing the shapes involved. The solids include combinations of cubes, cylinders, cones, pyramids, and prisms. The problems require using formulas for volume, such as those for cubes, cylinders, cones, and pyramids, and performing calculations involving pi, areas, heights and radii. The final section provides the answers to each problem.
This document provides a summary of a 2 hour mathematics enrichment session on lines and planes in 3-dimensions. It includes 10 problems involving calculating angles between lines and planes using trigonometric ratios. The problems include diagrams of prisms, pyramids and cuboids with given measurements. The document concludes with answers to the 10 problems.
The document provides 15 multiple choice questions related to various topics including mathematics, geometry, probability, and science. Specifically:
1. The first question asks which magazine types are listed in order of greatest to least circulation based on data provided in a table.
2. The second question provides information about 5 people sitting in a row and asks which place a "tall person" occupies from the right side.
3. The third question asks which variable would result in a corresponding decrease in the value of an equation if increased.
4. The fourth question asks about the symmetry of a machine part design shown.
1. The document contains a 28 question multiple choice test on geometry concepts including parallel and perpendicular lines, angles, triangles, slopes of lines, and writing equations of lines.
2. The questions cover identifying different types of angles based on diagrams, classifying triangles, finding missing angle measures, calculating slopes, writing equations of lines given slope and y-intercept, and writing equations of parallel lines.
3. Answers to each question are a single letter choice: a, b, c, or d.
The document discusses how to calculate the area of different shapes including squares, rectangles, parallelograms, triangles, trapezoids, and circles. It provides the formulas for finding the area of each shape and works through examples of applying the formulas. Key formulas include: the area of a square is s2, the area of a rectangle is length x width, the area of a parallelogram is base x height, the area of a triangle is 1/2 x base x height, and the area of a circle is πr2.
The document provides guidance on identifying and calculating angles between lines and planes in 3-dimensional space. It outlines four key skills: 1) Identifying the angle between a line and plane, 2) Calculating the angle between a line and plane, 3) Identifying the angle between two planes, and 4) Calculating the angle between two planes. Examples are given to demonstrate how to use trigonometric functions like tangent to determine specific angles within diagrams of 3D objects. Activities are also included for students to practice applying the skills, such as identifying angles within diagrams of cuboids.
This document contains math problems and diagrams related to calculating perimeters and areas of two-dimensional and three-dimensional shapes. It is divided into three sections on two-dimensional shapes, covering finding perimeters and areas of composite shapes made of quadrilaterals and triangles, as well as word problems applying these concepts. The next two sections cover similar learning outcomes for three-dimensional shapes, including surface areas, volumes, and word problems. The document provides the context for 38 total math problems assessing students on these geometric concepts.
This document is the question paper for a mathematics exam consisting of 40 multiple choice questions. It provides instructions for answering the questions, including that students should blacken only one answer for each question on the answer sheet. It also lists several mathematical formulas that may be helpful in answering the questions. The questions cover a range of mathematics topics including arithmetic, algebra, geometry, statistics and graphs.
The document contains examples of math problems involving perimeter, area, and geometry shapes. It provides diagrams with measurement labels and asks students to calculate perimeters and areas or determine missing side lengths. The problems cover calculating perimeters and areas of polygons like triangles, rectangles, trapezoids; finding missing dimensions; and unit conversions between meters, centimeters, millimeters, hectares and square kilometers.
This document contains 40 multiple choice mathematics questions from a Form 1 & 2 PMR 2012 exam. The questions cover topics such as numbers and operations, algebra, geometry, measurement, and ratios. The answers to each question are provided at the end.
Here are the key steps to solve quadratic equations:
1. Factorize the quadratic expression if possible. This allows using the zero product property.
2. Use the quadratic formula if factorizing is not possible:
x = (-b ± √(b^2 - 4ac)) / 2a
3. Solve for the roots. The roots are the values of x that make the quadratic equation equal to 0.
4. Check your solutions in the original equation to verify they are correct roots.
5. Determine the nature of the roots:
- If the discriminant (b^2 - 4ac) is greater than 0, there are two real distinct roots.
- If the discriminant
The document provides the circumferences and areas of 9 circles with varying radii from 1 cm to 20 cm. For each circle, the circumference is calculated using the formula C=2πr and the area is calculated using the formula A=πr^2.
The document provides information about calculating the areas of different shapes using squares or square units. It includes examples of finding the areas of rectangles, triangles, letters of the alphabet, and irregular shapes by counting whole and half squares. Various area formulas are presented, such as Area = length x breadth. Word problems demonstrate calculating areas of real-world objects like fields, stadiums, and ponds.
1. The document contains a practice test for a geometry chapter with 25 multiple choice questions testing concepts of perimeter, area, surface area, and volume of various shapes.
2. The questions cover finding the perimeter and area of basic shapes like rectangles, triangles, and circles as well as composite shapes. Additional questions test finding the surface area and volume of prisms, pyramids, cylinders and other solid figures.
3. The practice test provides examples of using formulas to set up and solve geometry problems and find measurements of 2D and 3D shapes.
Primero 01 perimetro y area_septimo_manuel_aritmeticamanuelvalencia73
The document provides information about geometry concepts related to polygons, perimeter, area, and different plane figures. It defines polygons, their elements, and types of polygons based on the number of sides. It then defines perimeter and area, and provides formulas and examples for calculating the perimeter and area of rectangles, squares, parallelograms, rhombi, triangles, trapezoids, regular polygons, and circles. The document concludes with practice problems involving calculating perimeters and areas of various plane figures.
1. The document contains 20 diagrams with math and word problems. It provides calculations, shapes, quantities, prices and other details to solve various multi-step word problems.
2. The problems cover a wide range of math topics including fractions, decimals, percentages, measurements, time, averages, ratios and more.
3. The reader is asked to use the information from the diagrams and text to solve the problems, show the steps, and select the correct answer.
1. This document contains 19 multi-step math word problems involving trigonometry, geometry, and algebra concepts assessed over multiple marks.
2. The problems require calculating lengths, angles, expressions, and using trigonometric functions and properties of shapes.
3. Diagrams are provided but noted as not to scale, requiring calculations from the information given in the question.
The document contains 10 mathematics problems involving calculating areas and perimeters of shapes made of circles and arcs of circles. The problems provide diagrams and specific measurements, and ask the reader to use the formula for the circumference of a circle (π = 22/7) to find the requested perimeter or area. Detailed step-by-step workings are shown for each answer. The document is a study guide on circle geometry for a Standardized Mathematics exam.
This document is a methodological guide containing control work assignments in mathematics. It includes an introduction and 7 control works corresponding to topics in the mathematics curriculum. Each control work contains reference materials, assignment questions at three levels of difficulty (A, B, C) and grading criteria. The questions are designed to quickly check students' knowledge of each topic and identify their level of understanding. This guide is intended to help teachers objectively evaluate students and differentiate instruction based on students' mastery of the material.
1. A solid right prism with a rectangular base is shown. Plans and elevations are drawn to scale of the prism and when combined with a solid cuboid.
2. A solid with a cuboid and half cylinder joined is shown. Plans and elevations are drawn to scale of the solid and when combined with a solid right prism.
3. A solid consisting of a right prism and half cylinder is shown. Plans and elevations are drawn to scale.
4. A solid right prism is shown. Plans and elevations are drawn to scale of the prism and when combined with a solid cuboid.
5. A solid right prism with trapez
The document contains 10 problems involving calculating angles between lines and planes in 3-dimensional space. Specifically, it contains:
1) Problems calculating angles between lines and planes in pyramids and cuboids.
2) A diagnostic test with 10 multiple choice questions assessing the ability to name and calculate angles between lines and planes in various 3D shapes.
3) The document provides practice for understanding lines and planes in 3D geometry, particularly as it relates to pyramids, cuboids, and calculating angles between geometric elements in 3-dimensional space.
This document provides a methodological guide with 9 practical works on mathematics. It includes explanatory notes and covers the following topics: construction of sections, areas of surfaces and volumes of polyhedra, vector operations, solving algebraic equations and inequalities, roots and degrees, logarithms and their properties, basics of trigonometry, differentiation rules, finding integrals and calculating volumes. The practical works aim to practice skills for each topic and assess the mastery of the material. Students are advised to complete the tasks in order while applying the proper formulas and techniques.
The document contains 7 multi-step word problems involving the calculation of volumes of various solids. Diagrams are provided with each problem showing the shapes involved. The solids include combinations of cubes, cylinders, cones, pyramids, and prisms. The problems require using formulas for volume, such as those for cubes, cylinders, cones, and pyramids, and performing calculations involving pi, areas, heights and radii. The final section provides the answers to each problem.
This document provides a summary of a 2 hour mathematics enrichment session on lines and planes in 3-dimensions. It includes 10 problems involving calculating angles between lines and planes using trigonometric ratios. The problems include diagrams of prisms, pyramids and cuboids with given measurements. The document concludes with answers to the 10 problems.
The document provides 15 multiple choice questions related to various topics including mathematics, geometry, probability, and science. Specifically:
1. The first question asks which magazine types are listed in order of greatest to least circulation based on data provided in a table.
2. The second question provides information about 5 people sitting in a row and asks which place a "tall person" occupies from the right side.
3. The third question asks which variable would result in a corresponding decrease in the value of an equation if increased.
4. The fourth question asks about the symmetry of a machine part design shown.
1. The document contains a 28 question multiple choice test on geometry concepts including parallel and perpendicular lines, angles, triangles, slopes of lines, and writing equations of lines.
2. The questions cover identifying different types of angles based on diagrams, classifying triangles, finding missing angle measures, calculating slopes, writing equations of lines given slope and y-intercept, and writing equations of parallel lines.
3. Answers to each question are a single letter choice: a, b, c, or d.
The document discusses how to calculate the area of different shapes including squares, rectangles, parallelograms, triangles, trapezoids, and circles. It provides the formulas for finding the area of each shape and works through examples of applying the formulas. Key formulas include: the area of a square is s2, the area of a rectangle is length x width, the area of a parallelogram is base x height, the area of a triangle is 1/2 x base x height, and the area of a circle is πr2.
The document provides guidance on identifying and calculating angles between lines and planes in 3-dimensional space. It outlines four key skills: 1) Identifying the angle between a line and plane, 2) Calculating the angle between a line and plane, 3) Identifying the angle between two planes, and 4) Calculating the angle between two planes. Examples are given to demonstrate how to use trigonometric functions like tangent to determine specific angles within diagrams of 3D objects. Activities are also included for students to practice applying the skills, such as identifying angles within diagrams of cuboids.
This document contains math problems and diagrams related to calculating perimeters and areas of two-dimensional and three-dimensional shapes. It is divided into three sections on two-dimensional shapes, covering finding perimeters and areas of composite shapes made of quadrilaterals and triangles, as well as word problems applying these concepts. The next two sections cover similar learning outcomes for three-dimensional shapes, including surface areas, volumes, and word problems. The document provides the context for 38 total math problems assessing students on these geometric concepts.
This document is the question paper for a mathematics exam consisting of 40 multiple choice questions. It provides instructions for answering the questions, including that students should blacken only one answer for each question on the answer sheet. It also lists several mathematical formulas that may be helpful in answering the questions. The questions cover a range of mathematics topics including arithmetic, algebra, geometry, statistics and graphs.
The document contains examples of math problems involving perimeter, area, and geometry shapes. It provides diagrams with measurement labels and asks students to calculate perimeters and areas or determine missing side lengths. The problems cover calculating perimeters and areas of polygons like triangles, rectangles, trapezoids; finding missing dimensions; and unit conversions between meters, centimeters, millimeters, hectares and square kilometers.
This document contains 40 multiple choice mathematics questions from a Form 1 & 2 PMR 2012 exam. The questions cover topics such as numbers and operations, algebra, geometry, measurement, and ratios. The answers to each question are provided at the end.
Here are the key steps to solve quadratic equations:
1. Factorize the quadratic expression if possible. This allows using the zero product property.
2. Use the quadratic formula if factorizing is not possible:
x = (-b ± √(b^2 - 4ac)) / 2a
3. Solve for the roots. The roots are the values of x that make the quadratic equation equal to 0.
4. Check your solutions in the original equation to verify they are correct roots.
5. Determine the nature of the roots:
- If the discriminant (b^2 - 4ac) is greater than 0, there are two real distinct roots.
- If the discriminant
The document provides the circumferences and areas of 9 circles with varying radii from 1 cm to 20 cm. For each circle, the circumference is calculated using the formula C=2πr and the area is calculated using the formula A=πr^2.
The document provides information about calculating the areas of different shapes using squares or square units. It includes examples of finding the areas of rectangles, triangles, letters of the alphabet, and irregular shapes by counting whole and half squares. Various area formulas are presented, such as Area = length x breadth. Word problems demonstrate calculating areas of real-world objects like fields, stadiums, and ponds.
1. The document contains a practice test for a geometry chapter with 25 multiple choice questions testing concepts of perimeter, area, surface area, and volume of various shapes.
2. The questions cover finding the perimeter and area of basic shapes like rectangles, triangles, and circles as well as composite shapes. Additional questions test finding the surface area and volume of prisms, pyramids, cylinders and other solid figures.
3. The practice test provides examples of using formulas to set up and solve geometry problems and find measurements of 2D and 3D shapes.
Primero 01 perimetro y area_septimo_manuel_aritmeticamanuelvalencia73
The document provides information about geometry concepts related to polygons, perimeter, area, and different plane figures. It defines polygons, their elements, and types of polygons based on the number of sides. It then defines perimeter and area, and provides formulas and examples for calculating the perimeter and area of rectangles, squares, parallelograms, rhombi, triangles, trapezoids, regular polygons, and circles. The document concludes with practice problems involving calculating perimeters and areas of various plane figures.
1. The document contains 20 diagrams with math and word problems. It provides calculations, shapes, quantities, prices and other details to solve various multi-step word problems.
2. The problems cover a wide range of math topics including fractions, decimals, percentages, measurements, time, averages, ratios and more.
3. The reader is asked to use the information from the diagrams and text to solve the problems, show the steps, and select the correct answer.
1. This document contains 19 multi-step math word problems involving trigonometry, geometry, and algebra concepts assessed over multiple marks.
2. The problems require calculating lengths, angles, expressions, and using trigonometric functions and properties of shapes.
3. Diagrams are provided but noted as not to scale, requiring calculations from the information given in the question.
The document contains 10 mathematics problems involving calculating areas and perimeters of shapes made of circles and arcs of circles. The problems provide diagrams and specific measurements, and ask the reader to use the formula for the circumference of a circle (π = 22/7) to find the requested perimeter or area. Detailed step-by-step workings are shown for each answer. The document is a study guide on circle geometry for a Standardized Mathematics exam.
This document provides instructions for sketching, drawing, and constructing diagrams in mathematics. It defines sketching as a freehand diagram, drawing as an accurate diagram using instruments, and construction as using only a compass and ruler. The document then describes techniques for using a ruler to measure and draw lines, using a protractor to measure and draw angles, and using a compass to mark lengths on lines. It provides examples of constructing angles, triangles, and regular polygons.
This document provides information about solid geometry, including definitions of different 3D shapes like prisms, pyramids, cylinders, cones, and spheres. It describes their key properties and provides examples. It also discusses nets, which are 2D shapes that can be folded into 3D solids. The document then covers calculating the surface areas of different solids and provides examples of solving surface area problems for prisms, cylinders, cones, and spheres. It concludes with practice problems for students to calculate surface areas.
This document contains 40 multiple choice questions covering various math and problem solving concepts. The questions assess skills like conversions between measurement units, calculating percentages, interpreting data in tables and diagrams, and solving word problems involving money, time, and other quantities. The correct answer is provided as a multiple choice option for each question.
1. The document contains a series of 35 math and word problems with diagrams. It tests concepts like number operations, measurements, percentages, geometry, data interpretation, and problem solving.
2. The problems cover a wide range of topics from basic arithmetic to more complex multi-step word problems involving ratios, rates, proportions and conversions between different units.
3. Most problems are followed by 4 multiple choice answer options to choose from. The document aims to assess mathematical and analytical skills through practical, real world type questions.
1. The document contains a practice test for a geometry chapter with 25 questions testing various geometry concepts like perimeter, area, surface area, and volume.
2. The questions cover finding the perimeter of polygons, area of rectangles, parallelograms, triangles, and composite figures, parts and circumference of circles, identifying solid figures, and calculating surface area of prisms, pyramids, and cylinders as well as volume of rectangular prisms, triangular prisms, and cylinders.
3. The document provides step-by-step work for each question showing the formulas used, values plugged in, calculations, and final answers.
This document contains 27 multiple choice questions about calculating areas of geometric shapes such as triangles, rectangles, circles, and composite figures. The questions provide diagrams of the shapes along with measurements and ask the reader to determine the area based on the information given.
Class 10 Cbse Maths Sample Paper Term 2 Model 1Sunaina Rawat
This document is a sample test paper for mathematics for Class 10. It consists of 33 total questions divided into 4 sections - Section A has 8 one-mark questions, Section B has 9 two-mark questions, Section C has 10 three-mark questions, and Section D has 6 four-mark questions. The test covers a range of mathematics topics including trigonometry, geometry, probability, and series. Students have 3 hours to complete the paper.
1. The document provides various mathematical formulae that may be helpful in answering questions, including formulae for relations, shapes and space, and other geometrical concepts.
2. The formulae cover topics such as averages, Pythagoras theorem, areas of different shapes, surface areas, volumes, scale factors, and trigonometry.
3. Common symbols used in the formulae are also provided.
Kaedah eksposisi adalah metode pengajaran di mana guru memberikan penjelasan langsung tentang materi pelajaran kepada siswa. Metode ini efektif untuk menyampaikan konsep dasar dan aturan, tetapi perlu disertai dengan aktivitas siswa untuk memperkuat pemahaman. Penggunaan kaedah ini secara berlebihan dapat menimbulkan kebosanan, sehingga perlu dicampur dengan metode lain yang mengaktifkan siswa.
Kaedah pengajaran deduktif dalam pengajaran matematik membantu murid berfikir dari pengetahuan umum ke khusus untuk menyelesaikan masalah. Metode ini melibatkan penggunaan rumus, hukum, atau teori yang telah dipelajari untuk membentuk generalisasi baru atau menyelesaikan masalah baru. Guru perlu memastikan murid memahami konsep asas sebelum menerapkannya dalam situasi baru.
Pembelajaran kontekstual dalam matematik sekolah rendah melibatkan pengintegrasian konsep matematik ke dalam konteks kehidupan nyata murid untuk meningkatkan minat dan pemahaman mereka. Pendekatan ini membantu murid melihat relevansi matematik melalui pengalaman, penerokaan, kerjasama, dan penggunaan pengetahuan dalam berbagai situasi. Pembelajaran kontekstual memberi manfaat kepada murid, guru, dan industri dengan menghubung
This document provides an overview of the topics that will be covered in the UPSR Mathematics exam, along with strategies for solving different types of questions. The topics include numbers and operations, fractions, decimals, percentages, mixed operations, average, money, shape and space, measurement, graphs, and data handling. It discusses the skills needed for each topic and provides examples of question types and strategies for showing work, understanding word problems, and managing information from questions and diagrams. The document emphasizes solving problems systematically and clearly showing all work.
This document contains two papers with multiple choice and short answer questions about calculating mass and weight conversions. Paper 1 has 20 questions testing skills like adding, subtracting, multiplying, and dividing masses in kilograms and grams. Paper 2 has 10 additional questions involving similar calculations with masses of various objects. The questions provide practice working with fractional and decimal representations of mass across different units.
This document contains two papers with multiple choice and short answer questions testing skills in converting between liters and milliliters. Paper 1 contains 20 questions and Paper 2 contains 10 questions. The questions involve operations like addition, subtraction, multiplication, and division with volumes expressed in liters and milliliters.
This question paper contains 20 multiple choice questions testing concepts in measurement conversion, addition, subtraction, multiplication, and division of measurements involving meters, centimeters, kilometers, and millimeters. The questions involve converting between units, calculating lengths, and interpreting diagrams related to measurement word problems. Students are instructed to answer all questions in the paper.
This document contains two papers with multiple choice and short answer questions about calculating mass and weight conversions. Paper 1 has 20 questions testing skills like adding, subtracting, multiplying, and dividing masses in kilograms and grams. Paper 2 has 10 additional questions involving similar calculations with masses of various objects. The questions provide practice working with fractional and decimal representations of mass across different units.
This question paper contains 20 multiple choice questions testing concepts in measurement, length, distance, time, and geometry. Students are asked to solve calculations involving conversions between units like meters, centimeters, kilometers, and millimeters. They also must interpret diagrams and use relative comparisons between quantities to determine missing values. The questions assess skills in unit conversions, adding, subtracting, multiplying and dividing measurements, and applying logical reasoning to word problems.
This document contains two papers with questions about calculating durations of time between dates and times. Paper 1 contains 20 questions asking the reader to calculate durations in months, years, days, and hours between given dates and times. Paper 2 contains 10 similar questions asking the reader to calculate durations between dates and times. The questions assess skills in adding and subtracting times and converting between units of time.
The document contains two sample question papers with multiple choice math word problems. Paper 1 contains 20 questions covering topics like calculating total amounts of money, percentages, profits, discounts. Paper 2 has 10 additional questions on similar math concepts. The questions require setting up and solving equations to determine missing values like prices, amounts, or profits.
This question paper contains 20 multiple choice questions testing concepts related to percentages. The questions cover a range of percentage calculations including finding percentages of quantities, converting between percentages and fractions, calculating percentage profit and loss, and interpreting percentage data in diagrams.
This 20-question paper tests mathematical skills like:
- Solving fractions, percentages and ratios
- Calculating time, length, mass and volume
- Interpreting diagrams, tables and word problems
- 20 multiple choice questions are to be answered by choosing the best option.
This document contains two sample question papers with math word problems. Paper 1 contains 20 questions testing skills like place value, rounding, addition, subtraction, multiplication, division, and interpreting data in tables and diagrams. Paper 2 contains 10 additional questions on similar math concepts. The questions involve operations on large numbers, word problems, and interpreting data in tables.
This question paper contains 20 multiple choice questions testing skills in adding, subtracting, and converting decimals and fractions. The questions involve performing various mathematical operations on decimal numbers ranging from 0 to over 100. The summary provides an overview of the type and complexity of calculations required without reproducing the full text of the questions or answers.
This document contains two papers with multiple choice and short answer questions about calculating mass and weight conversions. Paper 1 has 20 questions testing skills like adding, subtracting, multiplying, and dividing masses in kilograms and grams. Paper 2 has 10 additional questions involving similar calculations with masses of various objects. The questions provide practice working with fractional and decimal representations of mass across different units.
This document contains two papers with multiple choice and short answer questions testing skills in converting between liters and milliliters. Paper 1 contains 20 questions and Paper 2 contains 10 questions. The questions involve operations like addition, subtraction, multiplication, and division with volumes expressed in liters and milliliters.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
How to Setup Warehouse & Location in Odoo 17 InventoryCeline George
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
This presentation includes basic of PCOS their pathology and treatment and also Ayurveda correlation of PCOS and Ayurvedic line of treatment mentioned in classics.
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.
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This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
Walmart Business+ and Spark Good for Nonprofits.pdf
Topic 10 shape and space
1. PAPER 1
This question paper has 20 questions. Answer all the questions.
1. Diagram 1 is a composite shape of two right-angled triangles and a rectangle.
13 cm
12 cm
3 cm 4 cm
15 cm
DIAGRAM 1
Find the perimeter, in cm, of the diagram.
A 57 C 62
B 59 D 64
2. Diagram 2 shows the combination of two rectangles and two triangles.
3 cm
4 cm
5 cm
9 cm
2 cm
13
cm
DIAGRAM 2
Calculate the perimeter, in cm, of the whole diagram.
A 41 C 31
B 40 D 30
1
2. 3. Diagram 3 shows a combined shape of two squares and two triangles.
14.3 cm
7 cm
13.9 cm
12 cm
DIAGRAM 3
Calculate the perimeter, in cm, of the whole diagram.
A 96.2 C 78.2
B 88.2 D 76.2
4. Diagram 4 is made up of squares of equal size.
7.6 cm
6 cm
21 cm
DIAGRAM 4
What is the perimeter, in cm, of the shaded region?
A 63.6 C 53.6
B 57.6 D 50.6
5. In Diagram 5, the perimeter of EFGHI is 44.4 cm.
E F
6.8 cm
H
I G
DIAGRAM 5
If the length of EF is twice the length of EI, the length of EF, in cm, is
A 8 C 16
B 12 D 24
2
3. 6. Diagram 6 consists of two rectangles.
1 cm
3 cm
DIAGRAM 6
What is the area, in cm2, of the whole diagram?
A 5 C 20
B 15 D 25
7. Diagram 7 shows the combination of two right-angled triangles.
Q
4 cm
10 cm
R
T
P S
DIAGRAM 7
Given PQ = 10 cm, QR = RS = 4 cm and PS = 2ST. If ST = 3 cm, what is the area, in cm2, of the
whole diagram?
A 30 C 24
B 28 D 20
8. Diagram 8 shows a combined shape of a square, a triangle and a rectangle.
6 cm 10 cm
14 cm
16 cm
DIAGRAM 8
Calculate the area, in cm2, of the whole diagram.
A 104 C 220
3
4. B 202 D 224
9. Diagram 9 shows a composite shape of rectangle PQRT and triangle RST.
10 cm Q
P
R
T
6 cm
8 cm
4 cm
S
DIAGRAM 9
Find the area, in cm2, of the whole diagram.
A 56 C 112
B 76 D 116
10. In Diagram 10, KLMN is a square which is divided into several squares of equal size.
K L
J
N M
DIAGRAM 10
Given that the area of KLMN is 144 cm2. What is the length, in cm, of JK ?
A 3 C 6
B 4 D 8
11. In Diagram 11, X is a cube while Y is a cuboid.
X
Y
4 cm
4 cm
6 cm 10 cm
DIAGRAM 11
The difference between the surface area of X and Y, in cm2, is
A 56 C 24
B 34 D 16
4
5. 12. The solid in Diagram 12 consists of cuboid P and cube Q of sides 7 cm.
2 cm
P
Q
DIAGRAM 12
Find the surface area, in cm2, of the solid.
A 232 C 330
B 326 D 340
13. Diagram 13 shows a combination of two cuboids of the same size and a cube.
10 cm
20 cm
DIAGRAM 13
Calculate the surface area, in cm2, of the solid.
A 550 C 750
B 650 D 850
14. Diagram 14 shows a block of wood in the shape of a cuboid.
3 cm
2 cm 4 cm
DIAGRAM 14
If the volume of the shaded region is 120 cm3, find the surface area, in cm2, of the block of
wood.
A 192 C 128
B 138 D 124
5
6. 15. Diagram 15 shows a combined solid of a square and two rectangles.
3 cm
6 cm
7 cm
DIAGRAM 15
3
Calculate the volume, in cm , of the solid.
A 369 C 261
B 297 D 207
16. Diagram 16 is formed by using small cubes of the same size.
DIAGRAM 16
The length of each side of the small cube is 2 cm. Calculate the volume, in cm3, of the whole
diagram.
A 68 C 136
B 72 D 144
17. Diagram 17 shows a combined solid of two cuboids.
9 cm
3 cm
10 cm
DIAGRAM 17
Find the volume, in cm3, of the solid.
A 144 C 84
6
7. B 109 D 63
18. Diagram 18 shows a cuboid which originally was a cuboid with a volume of 240 cm3.
DIAGRAM 18
Two cubes of equal size are cut from the cuboid. If the length of each cube is 3 cm, calculate the
volume, in cm3, of the portion of cube left.
A 56 C 186
B 112 D 213
19. The solid in Diagram 19 is made up of three cuboids of the same size.
12 cm
4 cm
5 cm
DIAGRAM 19
Calculate the volume, in cm3, of the solid.
A 760 C 720
B 740 D 700
20. In Diagram 20, A is a cube with sides 3 cm, B is a cuboid with a measurement of 6 cm by 6 cm and by
8 cm, whereas C is a cuboid with a volume of 224 cm3.
A
C
B
DIAGRAM 20
What is the total volume, in cm3, of the whole diagram?
A 359 C 539
7
8. B 439 D 559
PAPER 2
This question paper has 10 questions. Answer all the questions.
1. In Diagram 1, the perimeter of the shaded region is 16 cm.
5.7 cm
DIAGRAM 1
What is the perimeter, in cm, of the whole diagram?
Answer:
2. Diagram 2 is a composite shape of two right-angled triangles and two rectangles.
2.8 cm
5.8 cm
2 cm
7 cm
DIAGRAM 2
Calculate the perimeter, in cm, of the whole diagram.
Answer:
3. In Diagram 3, ABCF is a rectangle. BCD and AEF are right-angled triangles.
A 20 cm B
14 cm
F 10 cm E D 5 cm C
DIAGRAM 3
Calculate the area, in cm2, of the shaded region.
8
9. Answer:
4. Diagram 4 is a combination of two right-angled triangles, a square and a rectangle.
2 cm
10 cm
DIAGRAM 4
2
Find the area, in cm , of the whole diagram.
Answer:
5. Diagram 5 shows Encik Azrin’s land. The land is a composite shape of two triangles of equal size and
a square.
12 m
DIAGRAM 5
The perimeter of the square region of the land is 20 m. Encik Azrin wants to sell the land at the
price of RM100 per square metre. Find the price of Encik Azrin’s land.
Answer:
6. Diagram 6 is a composite solid of two cuboids.
10 cm
8 cm
6 cm
18 cm
DIAGRAM 6
3
Calculate the volume, in cm , of the solid.
9
10. Answer:
7. Diagram 7 is a composite solid of two cuboids of equal size and two cubes of equal size.
5 cm
DIAGRAM 7
Given that the sides of the cubes are 2 cm each, find the volume, in cm3, of the solid.
Answer:
8. The solid in Diagram 8 consists of two cuboids and a cube.
5 cm
9 cm
6 cm
6 cm
DIAGRAM 8
What is the volume, in cm3, of the solid?
Answer:
10
11. 9. Diagram 9 is a composite solid of a cube and a cuboid.
1 cm x cm
DIAGRAM 9
The volume of the solid is 246 cm3 and the shaded area is 36 cm2. Calculate the value of x.
Answer:
10. Diagram 10 is a combination of two cuboids, P and Q.
P
7 cm
Q
3 cm
DIAGRAM 10
1
The volume of cuboid P is 9
the volume of cuboid Q. If the volume of cuboid P is 35 cm3,
what is the surface area, in cm2, of cuboid Q?
Answer:
11