GCSE Exam Questions on Volume Question 1. (AQA June 2003 Intermediate Paper 2 Calculator OK) A large carton contains 4 litres of orange juice.
|
|
|
- Daniel Mathews
- 7 years ago
- Views:
Transcription
1 Question 1. (AQA June 2003 Intermediate Paper 2 Calculator OK) A large carton contains 4 litres of orange juice. Cylindrical glasses of height 10 cm and radius 3 cm are to be filled from the carton. How many glasses can be filled? You must show all your working. Question 2. (AQA June 2006 Intermediate Paper 2 Calculator OK) The diagram shows two boxes that are cuboids. The larger box measures 20cm by 10cm by 20cm. It is partly filled with 70 smaller boxes each measuring 5cm by 5cm by 2cm. The smaller boxes are packed so that there are no gaps between them. How many more smaller boxes could be fitted into the larger box? Question 3. (AQA November 2004 Intermediate Paper 2 Calculator OK) A cylinder has a radius of 5 cm. (a) Calculate the circumference of a circular end of the cylinder. (b) The cylinder has a volume of 250 cm 3. Calculate the height of the cylinder. [2 marks]
2 Question 4. (AQA November 2006 Intermediate Paper 2 Calculator OK) A water container is in the shape of a cuboid. Its base is 20cm by 20cm and the depth of the water in the container is 15cm. Tony adds 1000 cm 3 of water to the container. Calculate the new depth, d, of the water, in centimetres. Question 5. (AQA June 2003 Intermediate Paper 1 NO Calculator) A school hall is in the shape of a cuboid. The school hall is 30 m long, 12 m wide and 4 m tall, as shown in the diagram. (a) Calculate the volume of the hall. (b) Calculate the total area of the four walls of the hall. [2 marks]
3 Question 6. (AQA November 2007 Intermediate Paper 2 Calculator OK) A bag filled with sand is a cube 0.85m along each side, as shown in the diagram. The bag holds 1 tonne of sand. Find the density of the sand. Give your answer in kilograms per cubic metre. Question 7. (AQA June 2005 Intermediate Paper 1 NO Calculator) The diagram shows a cylinder. The diameter of the cylinder is 10 cm. The height of the cylinder is 10 cm. (a) Calculate the volume of the cylinder. Give your answer in terms of π. Twenty of the cylinders are packed in a box of height 10cm. The diagram shows how the cylinders are arranged inside the box. The shaded area is the space between the cylinders. (b) Work out the volume inside the box that is not filled by the cylinders. Give your answer in terms of π.
4 Question 8. (AQA June 2007 Intermediate Paper 1 NO Calculator) The diagram, shows a container in the shape of a cuboid. (a) Work out the volume of the container. State the units of your answer. (b) Ben wants to paint the four outside walls and the top of the container. One tin of paint covers 6 m 2. How many tins of paint does Ben need? You must show all your working. Question 9. (AQA November 2007 Intermediate Paper 1 NO Calculator) The diagram shows a cylinder. The diameter of the cylinder is 20 cm. The height of the cylinder is 2 cm. Work out the volume of the cylinder. Use π = 3.14
5 Question 10. (AQA November 2003 Intermediate Paper 1 NO Calculator) The diagram shows a silver bar. The cross-section of the silver bar is a trapezium. (a) Calculate the area of the cross-section. The silver bar is 15 cm long. The bar is melted and the silver is then made into a cuboid. The base of the cuboid is 10cm by 10cm. [2 marks] (b) Work out the height of the cuboid. Question 11. (AQA June 2003 Higher Paper 2 Calculator OK) A thin-walled glass paperweight consists of a hollow cylinder with a hollow cone on top as shown. The paperweight contains just enough sand to fill the cylinder. The paperweight is now turned upside down. Calculate the depth of the sand (marked x in the diagram).
![[2 marks] (b) Work out the height of the cuboid. Question 11.](/docs-images/44/20948366/images/page_5.jpg "(AQA June 2003 Higher Paper 2 Calculator OK) A thin-walled glass paperweight consists of a hollow cylinder with a hollow cone on top as shown.")
6 Question 12. (AQA November 2007 Intermediate Paper 1 NO Calculator) One face of a cuboid is drawn on this isometric grid. This face measures 3cm by 4cm. (a) The volume of the cuboid is 24 cm 3. Complete the drawing of the cuboid. (b) Work out the surface area of the cuboid below. State the units of your answer. Question 13. (AQA June 2004 Higher Paper 2 Calculator OK) A water tank is 50cm long, 34cm wide and 24cm high. It contains water to a depth of 18 cm. Four identical spheres are placed in the tank and are fully submerged. The water level rises by 4.5 cm. Calculate the radius of the spheres.
7 Question 14. (AQA June 2005 Higher Paper 2 Calculator OK) A marble paperweight consists of a cuboid and a hemisphere as shown in the diagram. The hemisphere has a radius of 4 cm. Calculate the volume of the paperweight. Question 15. (AQA November 2003 Higher Paper 2 Calculator OK) A square-based pyramid has a base of edge 5 cm. The vertex of the pyramid is directly over the midpoint of the base. The volume of the pyramid is 100 cm 3. Find the length of the slant edge of the pyramid (marked x in the diagram).
8 Question 16. (AQA June 2007 Higher Paper 2 Calculator OK) Two spheres of radius 5 cm just fit inside a tube. Calculate the volume inside the tube not filled by the spheres. Question 17. (AQA November 2003 Higher Paper 2 Calculator OK) A solid cube has a square hole cut through horizontally and a circular hole cut through vertically. Both holes are cut centrally in the appropriate faces. The dimensions of the cube and the hole are shown in the diagram. Calculate the volume remaining after the holes have been cut. Question 18. (AQA November 2004 Higher Paper 2 Calculator OK) A cylinder has a radius of 5 cm and a volume of 250 cm 3. Calculate the height of the cylinder.
9 Question 19. (AQA November 2006 Higher Paper 2 Calculator OK) ABCD is a triangular based pyramid. The base ABC is an equilateral triangle with sides 5 cm. The volume of the pyramid is 36 cm 3. Calculate the perpendicular height, h, of the pyramid. Question 20 AQA November 2007Higher Paper 2 Calculator OK) A solid sphere of radius 3 cm just fits inside a hollow cone of radius 6cm and height 8cm. A (vertical) cross-sectional view is shown in the diagram. Calculate the fraction of the volume of the cone taken up by the sphere. You must show your working. [3marks]
10 Question 21 (AQA November 2003 Higher Paper 1 NO Calculator) The first diagram shows a cone of base radius 12 cm and perpendicular height 10 cm. A small cone of base radius 6 cm and perpendicular height 5 cm is cut off the bottom to leave a frustum. The frustum has a lower radius of 6 cm, an upper radius of 12 cm and a perpendicular height of 5 cm (see second diagram). (a) Find the volume of the frustum, giving your answer in terms of π. (b) The frustum has the same volume as another cone of perpendicular height 35 cm. Calculate the radius of this cone.
11 Question 22. (AQA November 2005 Higher Paper 1 NO Calculator) A hemispherical bowl of radius 6 cm has the same volume as a cone of perpendicular height 27 cm. Calculate the base radius, r, of the cone.
CHAPTER 29 VOLUMES AND SURFACE AREAS OF COMMON SOLIDS
CHAPTER 9 VOLUMES AND SURFACE AREAS OF COMMON EXERCISE 14 Page 9 SOLIDS 1. Change a volume of 1 00 000 cm to cubic metres. 1m = 10 cm or 1cm = 10 6m 6 Hence, 1 00 000 cm = 1 00 000 10 6m = 1. m. Change
Volume of Prisms, Cones, Pyramids & Spheres (H)
Volume of Prisms, Cones, Pyramids & Spheres (H) A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, OCR, Pearson-Edexcel and WJEC Eduqas. Name: Total Marks: 1. A cylinder is made of
MENSURATION. Definition
MENSURATION Definition 1. Mensuration : It is a branch of mathematics which deals with the lengths of lines, areas of surfaces and volumes of solids. 2. Plane Mensuration : It deals with the sides, perimeters
ALPERTON COMMUNITY SCHOOL MATHS FACULTY ACHIEVING GRADE A/A* EXAM PRACTICE BY TOPIC
ALPERTON COMMUNITY SCHOOL MATHS FACULTY ACHIEVING GRADE A/A* EXAM PRACTICE BY TOPIC WEEK Calculator paper Each set of questions is followed by solutions so you can check & mark your own work CONTENTS TOPIC
GCSE Revision Notes Mathematics. Volume and Cylinders
GCSE Revision Notes Mathematics Volume and Cylinders irevise.com 2014. All revision notes have been produced by mockness ltd for irevise.com. Email: info@irevise.com Copyrighted material. All rights reserved;
SURFACE AREA AND VOLUME
SURFACE AREA AND VOLUME In this unit, we will learn to find the surface area and volume of the following threedimensional solids:. Prisms. Pyramids 3. Cylinders 4. Cones It is assumed that the reader has
The formulae for calculating the areas of quadrilaterals, circles and triangles should already be known :- Area = 1 2 D x d CIRCLE.
Revision - Areas Chapter 8 Volumes The formulae for calculating the areas of quadrilaterals, circles and triangles should already be known :- SQUARE RECTANGE RHOMBUS KITE B dd d D D Area = 2 Area = x B
SURFACE AREAS AND VOLUMES
CHAPTER 1 SURFACE AREAS AND VOLUMES (A) Main Concepts and Results Cuboid whose length l, breadth b and height h (a) Volume of cuboid lbh (b) Total surface area of cuboid 2 ( lb + bh + hl ) (c) Lateral
VOLUME AND SURFACE AREAS OF SOLIDS
VOLUME AND SURFACE AREAS OF SOLIDS Q.1. Find the total surface area and volume of a rectangular solid (cuboid) measuring 1 m by 50 cm by 0.5 m. 50 1 Ans. Length of cuboid l = 1 m, Breadth of cuboid, b
Area is a measure of how much space is occupied by a figure. 1cm 1cm
Area Area is a measure of how much space is occupied by a figure. Area is measured in square units. For example, one square centimeter (cm ) is 1cm wide and 1cm tall. 1cm 1cm A figure s area is the number
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA TUTORIAL 4 AREAS AND VOLUMES This is the one of a series of basic tutorials in mathematics aimed at beginners or anyone wanting to refresh themselves on fundamentals.
Wednesday 15 January 2014 Morning Time: 2 hours
Write your name here Surname Other names Pearson Edexcel Certificate Pearson Edexcel International GCSE Mathematics A Paper 4H Centre Number Wednesday 15 January 2014 Morning Time: 2 hours Candidate Number
9 Area, Perimeter and Volume
9 Area, Perimeter and Volume 9.1 2-D Shapes The following table gives the names of some 2-D shapes. In this section we will consider the properties of some of these shapes. Rectangle All angles are right
Solids. Objective A: Volume of a Solids
Solids Math00 Objective A: Volume of a Solids Geometric solids are figures in space. Five common geometric solids are the rectangular solid, the sphere, the cylinder, the cone and the pyramid. A rectangular
Shape Dictionary YR to Y6
Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use
SA B 1 p where is the slant height of the pyramid. V 1 3 Bh. 3D Solids Pyramids and Cones. Surface Area and Volume of a Pyramid
Accelerated AAG 3D Solids Pyramids and Cones Name & Date Surface Area and Volume of a Pyramid The surface area of a regular pyramid is given by the formula SA B 1 p where is the slant height of the pyramid.
By the end of this set of exercises, you should be able to:
BASIC GEOMETRIC PROPERTIES By the end of this set of exercises, you should be able to: find the area of a simple composite shape find the volume of a cube or a cuboid find the area and circumference of
EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES. Maths Level 2. Chapter 5. Shape and space
Shape and space 5 EDEXCEL FUNCTIONAL SKILLS PILOT TEACHER S NOTES Maths Level 2 Chapter 5 Shape and space SECTION H 1 Perimeter 2 Area 3 Volume 4 2-D Representations of 3-D Objects 5 Remember what you
CHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder.
TEST A CHAPTER 8, GEOMETRY 1. A rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has
Exercise 11.1. Q.1. A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?
11 MENSURATION Exercise 11.1 Q.1. A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area? (a) Side = 60 m (Given) Perimeter of
Pizza! Pizza! Assessment
Pizza! Pizza! Assessment 1. A local pizza restaurant sends pizzas to the high school twelve to a carton. If the pizzas are one inch thick, what is the volume of the cylindrical shipping carton for the
Area of a triangle: The area of a triangle can be found with the following formula: You can see why this works with the following diagrams:
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 You can see why this works with the following diagrams: h h b b Solve: Find the area of
Teacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.
Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 9-1.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles
Finding Volume of Rectangular Prisms
MA.FL.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of three-dimensional composite shapes.
GAP CLOSING. Volume and Surface Area. Intermediate / Senior Student Book
GAP CLOSING Volume and Surface Area Intermediate / Senior Student Book Volume and Surface Area Diagnostic...3 Volumes of Prisms...6 Volumes of Cylinders...13 Surface Areas of Prisms and Cylinders...18
1 cm 3. 1 cm. 1 cubic centimetre. height or Volume = area of cross-section length length
Volume Many things are made in the shape of a cuboid, such as drink cartons and cereal boxes. This activity is about finding the volumes of cuboids. Information sheet The volume of an object is the amount
Platonic Solids. Some solids have curved surfaces or a mix of curved and flat surfaces (so they aren't polyhedra). Examples:
Solid Geometry Solid Geometry is the geometry of three-dimensional space, the kind of space we live in. Three Dimensions It is called three-dimensional or 3D because there are three dimensions: width,
Chapter 19. Mensuration of Sphere
8 Chapter 19 19.1 Sphere: A sphere is a solid bounded by a closed surface every point of which is equidistant from a fixed point called the centre. Most familiar examples of a sphere are baseball, tennis
Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in
Geometry Final Exam Review Worksheet
Geometry Final xam Review Worksheet (1) Find the area of an equilateral triangle if each side is 8. (2) Given the figure to the right, is tangent at, sides as marked, find the values of x, y, and z please.
3D shapes. Level A. 1. Which of the following is a 3-D shape? A) Cylinder B) Octagon C) Kite. 2. What is another name for 3-D shapes?
Level A 1. Which of the following is a 3-D shape? A) Cylinder B) Octagon C) Kite 2. What is another name for 3-D shapes? A) Polygon B) Polyhedron C) Point 3. A 3-D shape has four sides and a triangular
Chapter 8 Geometry We will discuss following concepts in this chapter.
Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles
Shape, Space and Measure
Name: Shape, Space and Measure Prep for Paper 2 Including Pythagoras Trigonometry: SOHCAHTOA Sine Rule Cosine Rule Area using 1-2 ab sin C Transforming Trig Graphs 3D Pythag-Trig Plans and Elevations Area
Chapter 6. Volume. Volume by Counting Cubes. Exercise 6 1. 1 cm 3. The volume of a shape is the amount of space it takes up.
Chapter 6 Volume Volume by Counting Cubes The volume of a shape is the amount of space it takes up. 3 The basic unit of volume is the cubic centimetre. A small cube which measures by by is said to have
Geometry Notes VOLUME AND SURFACE AREA
Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate
Area of Parallelograms (pages 546 549)
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
Algebra Geometry Glossary. 90 angle
lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:
ME 111: Engineering Drawing
ME 111: Engineering Drawing Lecture # 14 (10/10/2011) Development of Surfaces http://www.iitg.ernet.in/arindam.dey/me111.htm http://www.iitg.ernet.in/rkbc/me111.htm http://shilloi.iitg.ernet.in/~psr/ Indian
Monday 11 June 2012 Afternoon
THIS IS A NEW SPECIFICATION H Monday 11 June 2012 Afternoon GCSE MATHEMATICS B J567/03 Paper 3 (Higher Tier) *J517130612* Candidates answer on the Question Paper. OCR supplied materials: None Other materials
2nd Semester Geometry Final Exam Review
Class: Date: 2nd Semester Geometry Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The owner of an amusement park created a circular
16 Circles and Cylinders
16 Circles and Cylinders 16.1 Introduction to Circles In this section we consider the circle, looking at drawing circles and at the lines that split circles into different parts. A chord joins any two
Geometry Unit 6 Areas and Perimeters
Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose
UNIT 10: 3-D SHAPES. AREAS AND VOLUMES
UNIT 10: 3-D SHAPES. AREAS AND VOLUMES Polyhedrons: Polyhedrons are geometric solids whose faces are formed by polygons. The components you can fine: Faces, Edges, Vertices, Dihedron Angle. Regular polyhedrons:
Area, Perimeter, Volume and Pythagorean Theorem Assessment
Area, Perimeter, Volume and Pythagorean Theorem Assessment Name: 1. Find the perimeter of a right triangle with legs measuring 10 inches and 24 inches a. 34 inches b. 60 inches c. 120 inches d. 240 inches
B = 1 14 12 = 84 in2. Since h = 20 in then the total volume is. V = 84 20 = 1680 in 3
45 Volume Surface area measures the area of the two-dimensional boundary of a threedimensional figure; it is the area of the outside surface of a solid. Volume, on the other hand, is a measure of the space
Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
Geometry Notes PERIMETER AND AREA
Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter
ACTIVITY: Finding a Formula Experimentally. Work with a partner. Use a paper cup that is shaped like a cone.
8. Volumes of Cones How can you find the volume of a cone? You already know how the volume of a pyramid relates to the volume of a prism. In this activity, you will discover how the volume of a cone relates
12-1 Representations of Three-Dimensional Figures
Connect the dots on the isometric dot paper to represent the edges of the solid. Shade the tops of 12-1 Representations of Three-Dimensional Figures Use isometric dot paper to sketch each prism. 1. triangular
Sandia High School Geometry Second Semester FINAL EXAM. Mark the letter to the single, correct (or most accurate) answer to each problem.
Sandia High School Geometry Second Semester FINL EXM Name: Mark the letter to the single, correct (or most accurate) answer to each problem.. What is the value of in the triangle on the right?.. 6. D.
What You ll Learn. Why It s Important
These students are setting up a tent. How do the students know how to set up the tent? How is the shape of the tent created? How could students find the amount of material needed to make the tent? Why
CBA Volume: Student Sheet 1
CBA Volume: Student Sheet 1 For each problem, decide which cube building has more room inside, or if they have the same amount of room. Then find two ways to use cubes to check your answers, one way that
WEIGHTS AND MEASURES. Linear Measure. 1 Foot12 inches. 1 Yard 3 feet - 36 inches. 1 Rod 5 1/2 yards - 16 1/2 feet
WEIGHTS AND MEASURES Linear Measure 1 Foot12 inches 1 Yard 3 feet - 36 inches 1 Rod 5 1/2 yards - 16 1/2 feet 1 Furlong 40 rods - 220 yards - 660 feet 1 Mile 8 furlongs - 320 rods - 1,760 yards 5,280 feet
Mensuration. The shapes covered are 2-dimensional square circle sector 3-dimensional cube cylinder sphere
Mensuration This a mixed selection of worksheets on a standard mathematical topic. A glance at each will be sufficient to determine its purpose and usefulness in any given situation. These notes are intended
Surface Area Quick Review: CH 5
I hope you had an exceptional Christmas Break.. Now it's time to learn some more math!! :) Surface Area Quick Review: CH 5 Find the surface area of each of these shapes: 8 cm 12 cm 4cm 11 cm 7 cm Find
Geometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
2. Complete the table to identify the effect tripling the radius of a cylinder s base has on its volume. Cylinder Height (cm) h
Name: Period: Date: K. Williams ID: A 8th Grade Chapter 14 TEST REVIEW 1. Determine the volume of the cylinder. Use 3.14 for. 2. Complete the table to identify the effect tripling the radius of a cylinder
1. A plane passes through the apex (top point) of a cone and then through its base. What geometric figure will be formed from this intersection?
Student Name: Teacher: Date: District: Description: Miami-Dade County Public Schools Geometry Topic 7: 3-Dimensional Shapes 1. A plane passes through the apex (top point) of a cone and then through its
Filling and Wrapping: Homework Examples from ACE
Filling and Wrapping: Homework Examples from ACE Investigation 1: Building Smart Boxes: Rectangular Prisms, ACE #3 Investigation 2: Polygonal Prisms, ACE #12 Investigation 3: Area and Circumference of
Unit 2: Number, Algebra, Geometry 1 (Non-Calculator)
Write your name here Surname Other names Edexcel GCSE Centre Number Mathematics B Unit 2: Number, Algebra, Geometry 1 (Non-Calculator) Friday 14 June 2013 Morning Time: 1 hour 15 minutes Candidate Number
12 Surface Area and Volume
CHAPTER 12 Surface Area and Volume Chapter Outline 12.1 EXPLORING SOLIDS 12.2 SURFACE AREA OF PRISMS AND CYLINDERS 12.3 SURFACE AREA OF PYRAMIDS AND CONES 12.4 VOLUME OF PRISMS AND CYLINDERS 12.5 VOLUME
You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Write your name here Surname Other names Pearson Edexcel International GCSE Mathematics A Paper 3HR Centre Number Tuesday 6 January 015 Afternoon Time: hours Candidate Number Higher Tier Paper Reference
VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.
Math 6 NOTES 7.5 Name VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region. **The formula for the volume of a rectangular prism is:** l = length w = width h = height Study Tip:
Perimeter, Area and Volume of Regular Shapes
Perimeter, Area and Volume of Regular Sapes Perimeter of Regular Polygons Perimeter means te total lengt of all sides, or distance around te edge of a polygon. For a polygon wit straigt sides tis is te
Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees
Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in
Mathematics K 6 continuum of key ideas
Mathematics K 6 continuum of key ideas Number and Algebra Count forwards to 30 from a given number Count backwards from a given number in the range 0 to 20 Compare, order, read and represent to at least
12 Surface Area and Volume
12 Surface Area and Volume 12.1 Three-Dimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids
The teacher gives the student a ruler, shows her the shape below and asks the student to calculate the shape s area.
Complex area Georgia is able to calculate the area of a complex shape by mentally separating the shape into familiar shapes. She is able to use her knowledge of the formula for the area of a rectangle
Chapter 4: Area, Perimeter, and Volume. Geometry Assessments
Chapter 4: Area, Perimeter, and Volume Geometry Assessments Area, Perimeter, and Volume Introduction The performance tasks in this chapter focus on applying the properties of triangles and polygons to
Chapter 16. Mensuration of Cylinder
335 Chapter 16 16.1 Cylinder: A solid surface generated by a line moving parallel to a fixed line, while its end describes a closed figure in a plane is called a cylinder. A cylinder is the limiting case
General Certificate of Secondary Education January 2014. Mathematics Unit T3 (With calculator) Higher Tier [GMT31] FRIDAY 10 JANUARY, 9.15am 11.
![General Certificate of Secondary Education January 2014. Mathematics Unit T3 (With calculator) Higher Tier [GMT31] FRIDAY 10 JANUARY, 9.15am 11.](/thumbs/40/20949623.jpg "General Certificate of Secondary Education January 2014. Mathematics Unit T3 (With calculator) Higher Tier [GMT31] FRIDAY 10 JANUARY, 9.15am 11.")
Centre Number 71 Candidate Number General Certificate of Secondary Education January 2014 Mathematics Unit T3 (With calculator) Higher Tier [GMT31] MV18 FRIDAY 10 JANUARY, 9.15am 11.15 am TIME 2 hours,
Perimeter, Area, and Volume
Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all
Basic Math for the Small Public Water Systems Operator
Basic Math for the Small Public Water Systems Operator Small Public Water Systems Technology Assistance Center Penn State Harrisburg Introduction Area In this module we will learn how to calculate the
Paper Reference. Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier
Centre No. Candidate No. Paper Reference 1 3 8 0 1 F Paper Reference(s) 1380/1F Edexcel GCSE Mathematics (Linear) 1380 Paper 1 (Non-Calculator) Foundation Tier Friday 2 March 2012 Afternoon Time: 1 hour
Which two rectangles fit together, without overlapping, to make a square?
SHAPE level 4 questions 1. Here are six rectangles on a grid. A B C D E F Which two rectangles fit together, without overlapping, to make a square?... and... International School of Madrid 1 2. Emily has
You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Write your name here Surname Other names Edexcel IGCSE Centre Number Mathematics A Paper 3H Monday 6 June 2011 Afternoon Time: 2 hours Candidate Number Higher Tier Paper Reference 4MA0/3H You must have:
Circle the right answer for each question. 1) If a shape is three-dimensional, we know we can measure how high and how wide it is, and what else?
Quiz 3-D shapes Level A Circle the right answer for each question. 1) If a shape is three-dimensional, we know we can measure how high and how wide it is, and what else? A) how happy it is B) how hot it
Activity Set 4. Trainer Guide
Geometry and Measurement of Solid Figures Activity Set 4 Trainer Guide Mid_SGe_04_TG Copyright by the McGraw-Hill Companies McGraw-Hill Professional Development GEOMETRY AND MEASUREMENT OF SOLID FIGURES
Calculating the Surface Area of a Cylinder
Calculating the Measurement Calculating The Surface Area of a Cylinder PRESENTED BY CANADA GOOSE Mathematics, Grade 8 Introduction Welcome to today s topic Parts of Presentation, questions, Q&A Housekeeping
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, January 24, 2013 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any
CSU Fresno Problem Solving Session. Geometry, 17 March 2012
CSU Fresno Problem Solving Session Problem Solving Sessions website: http://zimmer.csufresno.edu/ mnogin/mfd-prep.html Math Field Day date: Saturday, April 21, 2012 Math Field Day website: http://www.csufresno.edu/math/news
FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST. Mathematics Reference Sheets. Copyright Statement for this Assessment and Evaluation Services Publication
FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST Mathematics Reference Sheets Copyright Statement for this Assessment and Evaluation Services Publication Authorization for reproduction of this document is hereby
Not for distribution
SHPE, SPE ND MESURES Volume Volume of a cuboid Volume is the amount of space inside a -D shape. he common units for volume are: mm, cm or m. Volume = length x width x height height V = l x w x h V = lwh
Unit 8 Angles, 2D and 3D shapes, perimeter and area
Unit 8 Angles, 2D and 3D shapes, perimeter and area Five daily lessons Year 6 Spring term Recognise and estimate angles. Use a protractor to measure and draw acute and obtuse angles to Page 111 the nearest
Calculate the circumference of a circle with radius 5 cm. Calculate the area of a circle with diameter 20 cm.
RERTIES F CIRCLE Revision. The terms Diameter, Radius, Circumference, rea of a circle should be revised along with the revision of circumference and area. Some straightforward examples should be gone over
IWCF United Kingdom Branch
IWCF United Kingdom Branch Drilling Calculations Distance Learning Programme Part 2 Areas and Volumes IWCF UK Branch Distance Learning Programme - DRILLING CALCULATIONS Contents Introduction Training objectives
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Thursday, August 13, 2015 8:30 to 11:30 a.m., only.
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, August 13, 2015 8:30 to 11:30 a.m., only Student Name: School Name: The possession or use of any communications
7 th Grade Study guide IV Partial Remember to practice the constructions that are not part of this guide.
7 th Grade Study guide IV Partial Remember to practice the constructions that are not part of this guide. 1. Which figure shows one point? a. S R c. D C b. Q d. F G 2. Which name describes the line? G
EMAT 6450 - Mathematics in Context
Melissa Wilson EMAT 6450 - Mathematics in Context Course/Unit: Accelerated Coordinate Algebra/Analytic Geometry A for Unit 9, Circles and Volume (This unit corresponds to Unit 3 in Analytic Geometry. The
Stacking Shapes to Make Prisms
1 Stacking Shapes to Make Prisms Describe and name s. 1. Name the. a) c) square-based b) d) triangle-based rectangle-based triangle-based A is a 3-D shape with congruent ends called bases. The other faces
How To Find The Area Of A Shape
9 Areas and Perimeters This is is our next key Geometry unit. In it we will recap some of the concepts we have met before. We will also begin to develop a more algebraic approach to finding areas and perimeters.
Similar shapes. 33.1 Similar triangles CHAPTER. Example 1
imilar shapes 33 HTR 33.1 imilar triangles Triangle and triangle have the same shape but not the same size. They are called similar triangles. The angles in triangle are the same as the angles in triangle,
CIRCUMFERENCE AND AREA OF A CIRCLE
CIRCUMFERENCE AND AREA OF A CIRCLE 1. AC and BD are two perpendicular diameters of a circle with centre O. If AC = 16 cm, calculate the area and perimeter of the shaded part. (Take = 3.14) 2. In the given
Measurement Length, Area and Volume
Length, Area and Volume Data from international studies consistently indicate that students are weaker in the area of measurement than any other topic in the mathematics curriculum Thompson & Preston,
Area of Circles. 2. Use a ruler to measure the diameter and the radius to the nearest half centimeter and record in the blanks above.
Name: Area of Circles Label: Length: Label: Length: A Part 1 1. Label the diameter and radius of Circle A. 2. Use a ruler to measure the diameter and the radius to the nearest half centimeter and recd
Multiply circumference by 0.3183. Or divide circumference by 3.1416. Multiply diameter by 3.1416. Or divide diameter by 0.3183.
RULES RELATIVE TO THE CIRCLE TO FIND DIAMETER TO FIND CIRCUMFERENCE TO FIND RADIUS TO FIND SIDE OF AN INSCRIBED SQUARE TO FIND SIDE OF AN EQUAL SQUARE Multiply circumference by 0.383. Or divide circumference
Pythagoras Theorem. Page I can... 1... identify and label right-angled triangles. 2... explain Pythagoras Theorem. 4... calculate the hypotenuse
Pythagoras Theorem Page I can... 1... identify and label right-angled triangles 2... eplain Pythagoras Theorem 4... calculate the hypotenuse 5... calculate a shorter side 6... determine whether a triangle
Maximum and minimum problems. Information sheet. Think about
Maximum and minimum problems This activity is about using graphs to solve some maximum and minimum problems which occur in industry and in working life. The graphs can be drawn using a graphic calculator
Paper 1. Mathematics test. Calculator not allowed. First name. Last name. School KEY STAGE TIER
Ma KEY STAGE 3 TIER 4 6 2005 Mathematics test Paper 1 Calculator not allowed Please read this page, but do not open your booklet until your teacher tells you to start. Write your name and the name of your
10-4-10 Year 9 mathematics: holiday revision. 2 How many nines are there in fifty-four?
DAY 1 Mental questions 1 Multiply seven by seven. 49 2 How many nines are there in fifty-four? 54 9 = 6 6 3 What number should you add to negative three to get the answer five? 8 4 Add two point five to