Area Volume Density Speed Velocity Acceleration Chapter 35 Science Matters

Size: px
Start display at page:

Download "Area Volume Density Speed Velocity Acceleration Chapter 35 Science Matters"

Transcription

1 Area Volume Density Speed Velocity Acceleration Chapter 35 Science Matters Area Area of a shape is the amount of surface enclosed within its boundary lines. Area is measured in metres squared (m 2 ), centimetres squared (cm 2 ) or kilometres squared (km 2 ). Finding the area of a shape Square: Rectangle: Triangle: Circle: Area = length X length Area = length X width Area = ½ Base X perpendicular height. Area = Pi X Radius X Radius = Π X r 2

2 Finding area of irregular shaped object 1. Draw the outline of the object on graph paper. 2. Count the number of 1cm 2 squares that are half-way or more inside the boundary. 3. This number is equal to the area of the shape in cm 2.

3 Volume The volume of an object is the amount of space it takes up The SI unit of volume is the metre cubed or cubic metre m 3 Another unit often used to measure volume is the Litre (l) 1litre = 1000 millilitres or 1000 cm 3 1millilitre = 1cm 3 Finding the volume of a liquid 1. Pour liquid into measuring cylinder. 2. Read the volume from the lowest part of the meniscus. Finding Volume of regular shaped objects Volume of a block: Length X Width X Height. Volume of a cylinder: Pi X radius 2 X height

4 Finding the volume of irregular objects Volume of irregular shaped objects (e.g. a stone) found using displacement. The Object is placed in water and it pushes its own volume in water out of the way. Finding volume of a small irregular object 1. A Known volume of water is placed into a measuring cylinder & recorded (vol. 1). 2. Tie a string around the object and lower it into the cylinder. 3. Record new volume (Vol. 2) 4. Subtract vol 1 from vol 2 the answer is equal to the volume of the object. Finding volume of large irregular object 1. Fill a displacement can with water and let it stop dripping. 2. Place a measuring cylinder under the spout. 3. Put a string on the object to be measured and lower it gently into the displacement can 4. Record volume of water that flows into the cylinder, this equals the volume of the object Density Definition The mass of an object is the quantity of matter in it To compare the mass of substances fairly we must compare the mass of the same volume of each substance. The mass of 1 cm 3 of water is 1g but the mass of 1 cm 3 of lead is 11.2g than so the mass of lead is 11.2 times heavier than the mass of the same volume of water.

5 Lead packs a lot more matter into 1 cm 3 than water does. This measurement of mass per unit volume is called the density of a substance. No two substances have been found with exactly the same density. This means density can be used to identify a substance The density of a substance is its mass per unit volume. The formula for finding density is: Therefore: And We can use the Density Triangle to figure out any one of the three if the other two are known

6 Cover the one you want to find and use the other two to find it Units of Density Density is mass divided by volume. Unit of density is the unit of mass divided by the unit of volume. The SI unit of Density is g/cm 3 Finding Density 3 Steps 1. Find the Mass 2. Find the Volume 3. Divide Mass by Volume Floatation A substance will float on another substance that is more dense than itself. Oil and wood float in water because they are less dense than water. Lead and mercury sink in water because they are more dense. A ship floats in water because its overall density (including the air inside it) is less than water.

7 Speed Speed is a measure of how quickly a body (object) can travel from one point to another. Speed of an object is the distance it travels per unit time. Unit of speed is the unit of distance divided by the unit of time. This is metres (distance) per second (time) or (m/s) We also use kilometre per hour (Km/h) Again we can use a D street triangle to figure out any one if the other two are known. Simply cover the one you want and use the other two

8 Maths problems on Speed An athlete runs 1500m in 4 minutes Calculate the average speed in metres per sec Answer: Distance-Time Graphs In science graphs are used to represent information so it can be used to answer questions Example of a distance time graph Time is shown on the x axis and distance is shown on the y axis of the graph

9 Velocity The velocity of an object is its speed in a certain direction. Example: a plane flying from Dublin to London, its speed might be 700km/h but its velocity would be 700km/h south-east. Units of velocity are the same as speed but followed by a direction Example: km/h south, or m/s (ms -1 ) west. Acceleration Acceleration is a measure of how quickly an object can change its speed or velocity. The unit of acceleration is the unit of speed divided by the unit of time. metres per second per second or m/s/s or m/s 2 Calculating Acceleration A Cheetah accelerates from rest to a speed of 30m/s in 6 seconds. What is its acceleration.

10 Answer: Calculating Acceleration Question A bullet enters a tree 300m/s, it comes to rest in the tree 0.2 seconds later. Find the acceleration of the bullet.

11 Because the bullet is slowing down we get a minus answer this is called deceleration or negative acceleration. Velocity-Time Graphs These show how the velocity of an object varies with time. Lots of information can be taken from the graph e.g. if the object is accelerating or decelerating or if its accelerating steadily or unevenly

Unit 1 - Introduction

Unit 1 - Introduction Unit 1 - Introduction Units and Measurements In Physics, we are constantly measuring PHYSICAL QUANTITIES using MEASURING INSTRUMENTS. When we measure something we need to pay attention to the following:

More information

Physics. Practical 5: Density. Practical Objective. Content Objective. Apparatus. Your teacher may watch to see if you can:

Physics. Practical 5: Density. Practical Objective. Content Objective. Apparatus. Your teacher may watch to see if you can: The density of a substance is the mass of a unit volume of that substance. Almost all substances are most dense when they are solids and least dense when they are gases. The arrangement of particles can

More information

Measurement Stations. Length, Mass, Volume, Density, Temperature, and Time

Measurement Stations. Length, Mass, Volume, Density, Temperature, and Time Measurement Stations Length, Mass, Volume, Density, Temperature, and Time Length Length measures the distance from end to end on an object; height and width are variations on length. Standard (S.I.) Unit:

More information

Mass Mass is the amount of matter in an object. SI unit: kilogram (kg) 1 kg = 1000 g 1 g = 1000 mg. An adult brain: 1.3 ~1.4 kg

Mass Mass is the amount of matter in an object. SI unit: kilogram (kg) 1 kg = 1000 g 1 g = 1000 mg. An adult brain: 1.3 ~1.4 kg Mass Mass is the amount of matter in an object. SI unit: kilogram (kg) 1 kg = 1000 g 1 g = 1000 mg An adult brain: 1.3 ~1.4 kg Beam Balance and Electronic Balance Beam balance and electronic balance are

More information

Matter is anything that has mass, occupies volume and has properties that we can measure.

Matter is anything that has mass, occupies volume and has properties that we can measure. 1. Matter. Matter is anything that has mass, occupies volume and has properties that we can measure. All the objects around us occupy space, but this space is not always very clearly defined. For example,

More information

Why does a hot air balloon rise up in the air? Record your ideas on the lines below. Why are gases less dense than liquids?

Why does a hot air balloon rise up in the air? Record your ideas on the lines below. Why are gases less dense than liquids? Fluids and Density Before You Read Why does a hot air balloon rise up in the air? Record your ideas on the lines below. What are fluids? A fluid is any form of matter that can flow. Liquids and gases are

More information

Trade of Sheet Metalwork. Module 4: General Sheet Metalwork Unit 14: Conical Reducer Phase 2

Trade of Sheet Metalwork. Module 4: General Sheet Metalwork Unit 14: Conical Reducer Phase 2 Trade of Sheet Metalwork Module 4: General Sheet Metalwork Unit 14: Conical Reducer Phase 2 Table of Contents List of Figures... 4 List of Tables... 5 Document Release History... 6 Module 4 General Sheet

More information

MASS, VOLUME, AND DENSITY HOW TO MAKE LIQUIDS LAYERED!

MASS, VOLUME, AND DENSITY HOW TO MAKE LIQUIDS LAYERED! MASS, VOLUME, AND DENSITY HOW TO MAKE LIQUIDS LAYERED! MASS A measurement of the amount of matter in an object Can be measured with a triple beam balance or electronic balance It is measured in grams!

More information

Making measurements. density the ratio of mass to volume for a substance

Making measurements. density the ratio of mass to volume for a substance Block 1 General physics 1A definition to learn density the ratio of mass to volume for a substance Making measurements An equation to learn and use density = mass volume Exercise 1.1 Accurate measurements

More information

Comment: Unlike distance, displacement takes into consideration the direction of motion from the point of origin (where the object starts to move).

Comment: Unlike distance, displacement takes into consideration the direction of motion from the point of origin (where the object starts to move). Chapter 3 Kinematics (A) Distance Vs Displacement 1. Compare distance and displacement in terms of: (a) definition Distance is the total length of travel, irrespective of direction. Displacement is the

More information

FATHER AGNEL SCHOOL, VAISHALI CLASS IX QUESTION BANK PHYSICS

FATHER AGNEL SCHOOL, VAISHALI CLASS IX QUESTION BANK PHYSICS Topic : MOTION 1. Define acceleration and state its SI unit. For motion along a straight line, when do we consider the acceleration to be (i) positive (ii) negative? Give an example of a body in uniform

More information

Mechanics 1. Motion MEI, 20/10/08 1/5. Chapter Assessment

Mechanics 1. Motion MEI, 20/10/08 1/5. Chapter Assessment Chapter Assessment Motion. A snail moving across the lawn for her evening constitutional crawl is attracted to a live wire. On reaching the wire her speed increases at a constant rate and it doubles from.

More information

Downloaded from

Downloaded from Motion 1. A train travels 40 km at a uniform speed of 30 km h -1. Its average speed after travelling another 40 km is 45 km h -1 for the whole journey. Its speed in the second half of the journey is (A)

More information

Final Project Physics 590. Mary-Kate McGlinchey MISEP Summer 2005

Final Project Physics 590. Mary-Kate McGlinchey MISEP Summer 2005 Final Project Physics 590 Mary-Kate McGlinchey MISEP Summer 2005 Lesson Objectives: Students will be able to Identify the relationship between motion and a reference point. Identify the two factors that

More information

Chapter 2 Section 2: Acceleration

Chapter 2 Section 2: Acceleration Chapter 2 Section 2: Acceleration Motion Review Speed is the rate that an object s distance changes Distance is how far an object has travelled Speed = distance/time Velocity is rate that an object s displacement

More information

That teaches better, that feels better. Mass Volume and Density. Over Betuwe College 2013 Page 1

That teaches better, that feels better. Mass Volume and Density. Over Betuwe College 2013 Page 1 Mass Volume and Density Over Betuwe College 2013 Page 1 Contents 1 Volume... 3 1.1 Calculating volume.... 3 1.2 Volume 2... 5 1.3 Symbols and conversion.... 5 2 Mass... 6 3 Density... 7 3.1 The ratio table...

More information

Topic 8: Measurement

Topic 8: Measurement 137 Topic 8: Measurement Topic 1 Integers Topic 2 Decimals Topic 3 Fractions Topic 4 Ratios Topic 5 Percentages Topic 6 Algebra Topic 7 Equations and Formulae Topic 8 Measurement Duration 2 weeks Content

More information

Q1. In a circular track (distance 400 m) an athlete runs 1/4 the of the ground. So what would be the displacement?

Q1. In a circular track (distance 400 m) an athlete runs 1/4 the of the ground. So what would be the displacement? Class: 9 Subject: Physics Topic: Motion in a straight line No. of Questions: 20 Q1. In a circular track (distance 400 m) an athlete runs 1/4 the of the ground. So what would be the displacement? Given,

More information

How is an object s density related to its volume, mass, and tendency to sink or float? Materials

How is an object s density related to its volume, mass, and tendency to sink or float? Materials Investigation 2B 2B How is an object s density related to its volume, mass, and tendency to sink or float? You may be familiar with the trick question Which is heavier: a pound of feathers or a pound of

More information

Circle Theorems. Angles at the circumference are equal. The angle in a semi-circle is x The angle at the centre. Cyclic Quadrilateral

Circle Theorems. Angles at the circumference are equal. The angle in a semi-circle is x The angle at the centre. Cyclic Quadrilateral The angle in a semi-circle is 90 0 Angles at the circumference are equal. A B They must come from the same arc. Look out for a diameter. 2x Cyclic Quadrilateral Opposite angles add up to 180 0 A They must

More information

x

x Higher Revision Graph Plotting Grade: C. This formula gives the stopping distance, d metres, for a car travelling at x mph. d = x (0 + x) 00 (a) Complete this table. x 0 0 0 0 40 50 60 70 d 0 4 5 5 6 5

More information

Name... Class... Date...

Name... Class... Date... Density and states of matter Specification reference: P3.1.1 Density of materials Aims In this exercise, you will consider the term density and its relationship to the and volume of a variety of different

More information

Activity Sheet Chapter 3, Lesson 3 Density of water

Activity Sheet Chapter 3, Lesson 3 Density of water Activity Sheet Chapter 3, Lesson 3 Density of water Name Date DEMONSTRATION 1. One of your classmates lifted different amounts of water. The largest amount of water also had the most mass. You know how

More information

CIE Physics IGCSE. Topic 1: General Physics

CIE Physics IGCSE. Topic 1: General Physics CIE Physics IGCSE Topic 1: General Physics Summary Notes Length and time A ruler (rule) is used to measure the length of an object between 1mm and 1m. The volume of an object of irregular shape can be

More information

STRAND C: Measurement. UNIT C1 Units of Measurement: Text. Contents. Section. C1.1 Units and Measuring. C1.2 Upper and Lower Bounds

STRAND C: Measurement. UNIT C1 Units of Measurement: Text. Contents. Section. C1.1 Units and Measuring. C1.2 Upper and Lower Bounds STRAND C: Measurement C1 Units of Measurement Text Contents Section C1.1 Units and Measuring * C1.2 Upper and Lower Bounds C1.3 Estimating Areas C1.4 Conversion of Units C1 Units of Measurement C1.1 Units

More information

Motion in one dimension

Motion in one dimension Work Sheet - 1 1. Define rest and motion. 2. Define distance and displacement. Write their S.I unit. 3. Distinguish between distance and displacement. Write five points of differences. Work Sheet - 2 1.

More information

Applications of Differentiation of Polynomials

Applications of Differentiation of Polynomials C H A P T E R 20 Applications of Differentiation of Polynomials Objectives To be able to find the equation of the tangent and the normal at a given point of a polynomial curve. To use the derivative of

More information

The Next Generation Science Standards (NGSS)

The Next Generation Science Standards (NGSS) The Next Generation Science Standards (NGSS) CHAPTER 3, LESSON 1: WHAT IS DENSITY? MS-PS1-1. Develop models to describe the atomic composition of simple molecules and extended structures. DISCIPLINARY

More information

Measurement COMPARING AND ESTIMATING Year 1 Year 2 Year 3 Year 4 Year 5 Year 6

Measurement COMPARING AND ESTIMATING Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 compare, describe and solve practical problems for: * lengths and heights [e.g. long/short, longer/shorter, tall/short, double/half] * mass/weight [e.g. heavy/light, heavier than, lighter than] * capacity

More information

Measuring Matter - Study Guide

Measuring Matter - Study Guide Name Hour Measuring Matter - Study Guide Goal 1: 1. Measure the lines to the nearest millimeter and to the nearest tenth of a centimeter (2.3 cm). 71 mm 7.1_cm Within 1mm is acceptable answer 136 mm _13.6_cm

More information

ANIL TUTORIALS. Motion IMPORTANT NOTES ANIL TUTORIALS,SECTOR-5,DEVENDRA NAGAR,HOUSE NO-D/156,RAIPUR,C.G,PH

ANIL TUTORIALS. Motion IMPORTANT NOTES ANIL TUTORIALS,SECTOR-5,DEVENDRA NAGAR,HOUSE NO-D/156,RAIPUR,C.G,PH Motion 1. Rest : When a body does not change its position with respect to time and its surroundings, the body is said to be at rest. 2. Motion : When a body continuously changes its position with respect

More information

1 General physics 1 Making measurements

1 General physics 1 Making measurements 1 General physics 1 Making measurements A definition to learn density the ratio of mass to volume for a substance de si y mass n t = volume Exercise 1.1 The SI system of units To be part of the international

More information

a reference frame that accelerates in a straight line a reference frame that moves along a circular path Straight Line Accelerated Motion

a reference frame that accelerates in a straight line a reference frame that moves along a circular path Straight Line Accelerated Motion 1.12.1 Introduction Go back to lesson 9 and provide bullet #3 In today s lesson we will consider two examples of non-inertial reference frames: a reference frame that accelerates in a straight line a reference

More information

Density. Go through the powerpoint and take notes on the back of your Density Webquest.

Density. Go through the powerpoint and take notes on the back of your Density Webquest. Density Go through the powerpoint and take notes on the back of your Density Webquest. Which do you think would have the greater volume and mass? Why? 1 kg of feathers 1 kg of rock What the heck is density?

More information

8.1 THE LANGUAGE OF MOTION

8.1 THE LANGUAGE OF MOTION Unit 3 Motion 8.1 THE LANGUAGE OF MOTION 8.1 LEARNING OUTCOMES Vector quantities, such as displacement and velocity, have both a magnitude and a direction. An object in uniform motion will travel equal

More information

Density and Differentiation. Science Starter and Vocabulary

Density and Differentiation. Science Starter and Vocabulary Density and Differentiation Science Starter and Vocabulary Science Starter Answer the following and turn in. You have 5 minutes to complete. Use complete sentences to answer the following question. Be

More information

Activity Sheet Chapter 3, Lesson 2 Finding Volume The Water Displacement Method

Activity Sheet Chapter 3, Lesson 2 Finding Volume The Water Displacement Method Activity Sheet Chapter 3, Lesson 2 Finding Volume The Water Displacement Method Name Date DEMONSTRATION Think about the longest, middle-sized, and shortest rods your teacher showed you. All of these samples

More information

AQA Forces Review Can you? Scalar and vector quantities Contact and non-contact forces Resolving forces acting parallel to one another

AQA Forces Review Can you? Scalar and vector quantities   Contact and non-contact forces    Resolving forces acting parallel to one another Can you? Scalar and vector quantities Describe the difference between scalar and vector quantities and give examples. Scalar quantities have magnitude only. Vector quantities have magnitude and an associated

More information

Section A Coordinate Geometry Grade G / F

Section A Coordinate Geometry Grade G / F Name: Teacher Assessment Section A Coordinate Geometr Grade G / F. (a) On the grid plot the points with coordinates (, ), (, ) and (, ). x () (b) Join the points and give the mathematical name of the shape..

More information

Angel International School - Manipay 1 st Term Examination November, 2015

Angel International School - Manipay 1 st Term Examination November, 2015 Grade 09 Angel International School - Manipay 1 st Term Examination November, 2015 Physics Duration: 3.00 Hours Index No:- Part 1 1) What is the SI unit of mass? a) kg b) mg c) g d) t 2) Which list contains

More information

Calculating methods. Addition. Multiplication. Th H T U Th H T U = Example

Calculating methods. Addition. Multiplication. Th H T U Th H T U = Example 1 Addition Calculating methods Example 534 + 2678 Place the digits in the correct place value columns with the numbers under each other. Th H T U Begin adding in the units column. 5 3 4 + 12 16 17 8 4+8

More information

General physics. Cambridge University Press Cambridge IGCSE Physics Coursebook David Sang Excerpt More information

General physics. Cambridge University Press Cambridge IGCSE Physics Coursebook David Sang Excerpt More information Block 1 General physics In your studies of science, you will already have come across many of the fundamental ideas of physics. In this block, you will develop a better understanding of two powerful ideas:

More information

MENSURATION. Mensuration is the measurement of lines, areas, and volumes. Before, you start this pack, you need to know the following facts.

MENSURATION. Mensuration is the measurement of lines, areas, and volumes. Before, you start this pack, you need to know the following facts. MENSURATION Mensuration is the measurement of lines, areas, and volumes. Before, you start this pack, you need to know the following facts. When you see kilo, it indicates 000 in length, mass and capacity.

More information

Measurement. 1 Numeracy and mathematics glossary. Terms Illustrations Definitions. Area

Measurement. 1 Numeracy and mathematics glossary. Terms Illustrations Definitions. Area Terms Illustrations Definitions Area The amount of surface space an object covers, measured using non-standard and standard units. Area is usually measured in square units e.g. square centimetres (cm2),

More information

Kinematics, Distance-Time & Speed-Time Graphs

Kinematics, Distance-Time & Speed-Time Graphs Kinematics, Distance-Time & -Time Graphs Question Paper 3 Level IGCSE Subject Maths (58) Exam Board Cambridge International Examinations (CIE) Paper Type Extended Topic Algebra and graphs Sub-Topic Kinematics,

More information

Float or Sink Density Demonstration

Float or Sink Density Demonstration SPI 0807.9.7 Density Tennessee SPI Objective: Apply an equation to determine the density of an object based on its mass and volume. Check for Understanding Calculate the density of various objects. Essential

More information

1º ESO UNIT 1: The properties of matter. Susana Morales Bernal

1º ESO UNIT 1: The properties of matter. Susana Morales Bernal 1º ESO UNIT 1: The properties of matter Objectives 1. To know what a physical magnitude is. 2. To know in which it consists to measure and to understand the necessity of an unit of measurement 3. To know

More information

Graphing and Density

Graphing and Density Graphing and Density In addition to values that you can directly measure like length, mass, or volume, chemistry is filled with values that must be calculated. The most common of these is density. Density

More information

IGCSE Double Award Extended Coordinated Science

IGCSE Double Award Extended Coordinated Science IGCSE Double Award Extended Coordinated Science Physics 2.1 & 2.2 & 2.3 & 2.4 - Matters and Forces Mass and Weight You need to know what mass and weight are. Mass is the measure of amount of matter in

More information

Revision Mathematics

Revision Mathematics Essential Mathematics & Statistics for Science by Dr G Currell & Dr A A Dowman Revision Mathematics To navigate through these notes - use the Bookmarks on the left-hand menu. Contents: Page Number Line

More information

Speed ( v ) is the distance an object travels during a given time interval divided by the time interval.

Speed ( v ) is the distance an object travels during a given time interval divided by the time interval. v 8.2 Average Velocity Speed ( v ) is the distance an object travels during a given time interval divided by the time interval. Speed is a scalar quantity. The SI unit for speed is metres per second (m/s).

More information

Physics 20. Introduction & Review. Real tough physics equations. Real smart physics guy

Physics 20. Introduction & Review. Real tough physics equations. Real smart physics guy Physics 20 Introduction & Review Real tough physics equations Real smart physics guy Is Physics Hard? People find physics difficult because it requires a detail-oriented, organized thought process. Success,

More information

Day What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle?

Day What number is five cubed? 2. A circle has radius r. What is the formula for the area of the circle? Mental Arithmetic Questions 1. What number is five cubed? KS3 MATHEMATICS 10 4 10 Level 7 Questions Day 1 2. A circle has radius r. What is the formula for the area of the circle? 3. Jenny and Mark share

More information

e x for x 0. Find the coordinates of the point of inflexion and justify that it is a point of inflexion. (Total 7 marks)

e x for x 0. Find the coordinates of the point of inflexion and justify that it is a point of inflexion. (Total 7 marks) Chapter 0 Application of differential calculus 014 GDC required 1. Consider the curve with equation f () = e for 0. Find the coordinates of the point of infleion and justify that it is a point of infleion.

More information

After you read this section, you should be able to answer these questions:

After you read this section, you should be able to answer these questions: CHAPTER 3 12 SECTION Properties of Matter Physical Properties California Science Standards 8.7.c, 8.8.a, 8.8.b, 8.8.d BEFORE YOU READ After you read this section, you should be able to answer these questions:

More information

Uplift is the result of two forces working in concert, temperature and density

Uplift is the result of two forces working in concert, temperature and density Tectonic movements uplift and down warp our crust. They raise mountains and create sedimentary basins. In Western Australia the Yilgarn and Pilbara cratons are slowly moving upwards and being eroded whilst

More information

Momentum Review. Lecture 13 Announcements. Multi-step problems: collision followed by something else. Center of Mass

Momentum Review. Lecture 13 Announcements. Multi-step problems: collision followed by something else. Center of Mass Lecture 13 Announcements 1. While you re waiting for class to start, please fill in the How to use the blueprint equation steps, in your own words.. Exam results: Momentum Review Equations p = mv Conservation

More information

SCIENCE 1206 Unit 3. Physical Science Motion

SCIENCE 1206 Unit 3. Physical Science Motion SCIENCE 1206 Unit 3 Physical Science Motion Section 1: Units, Measurements and Error What is Physics? Physics is the study of motion, matter, energy, and force. Qualitative and Quantitative Descriptions

More information

You must have: Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.

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 Centre Number Mathematics B Paper 1 Candidate Number Tuesday 6 January 2015 Afternoon Time: 1 hour 30 minutes Paper Reference

More information

Area and Volume 1. Circumference and Area of a Circle. Area of a Trapezium. and Measures. Geometry. Key Point. Key Point.

Area and Volume 1. Circumference and Area of a Circle. Area of a Trapezium. and Measures. Geometry. Key Point. Key Point. Geometry and Measures Area and Volume 1 You must be able to: Recall and use the formulae for the circumference and area of a circle Recall and use the formula for the area of a trapezium Recall and use

More information

Math 1 packet for Coordinate Geometry part 1. Reviewing the basics. The coordinate plane

Math 1 packet for Coordinate Geometry part 1. Reviewing the basics. The coordinate plane Math 1 packet for Coordinate Geometry part 1 Reviewing the basics The coordinate plane The coordinate plane (also called the Cartesian plane named after French mathematician Rene Descartes, who formalized

More information

Related Rates Problems. of h.

Related Rates Problems. of h. Basic Related Rates Problems 1. If V is the volume of a cube and x the length of an edge. Express dv What is dv in terms of dx. when x is 5 and dx = 2? 2. If V is the volume of a sphere and r is the radius.

More information

1 What Is Matter? Math Focus

1 What Is Matter? Math Focus CHAPTER 1 1 What Is Matter? SECTION The Properties of Matter BEFORE YOU READ After you read this section, you should be able to answer these questions: What is matter? What is volume and mass? What are

More information

Odd numbers 4 2 = 4 X 4 = 16

Odd numbers 4 2 = 4 X 4 = 16 Even numbers Square numbers 2, 4, 6, 8, 10, 12, 1 2 = 1 x 1 = 1 2 divides exactly into every even number. 2 2 = 2 x 2 = 4 3 2 = 3 x 3 = 9 Odd numbers 4 2 = 4 X 4 = 16 5 2 = 5 X 5 = 25 1, 3, 5, 7, 11, 6

More information

Physics Review. Do: Page # Which of the following is an appropriate unit for velocity? A. s B. m C. m/s 2 D. km/h

Physics Review. Do: Page # Which of the following is an appropriate unit for velocity? A. s B. m C. m/s 2 D. km/h Physics Review Do: Page 413 417 #1 51 1. Which of the following is an appropriate unit for velocity? A. s B. m C. m/s 2 D. km/h Use the following information to answer Question 2. The following distance

More information

Lab: Determine the Density and Identify the Substance

Lab: Determine the Density and Identify the Substance SNC1D1 Lab: Determine the Density and Identify the Substance Activity 1: Find the Density 1. Get only one of the numbered blocks. Weigh the block to the nearest tenth of a gram (1 decimal point, example:

More information

ELDORET EAST INTER - SCHOOLS EXAMINATION

ELDORET EAST INTER - SCHOOLS EXAMINATION Name:... Index No.... School:...Date:... Candidate s Sign... 232/1 PHYSICS PAPER 1 (THEORY) FORM 4 MARCH / APRIL 2013 TIME: 2 HOURS ELDORET EAST INTER - SCHOOLS EXAMINATION - 2013 The Kenya Certificate

More information

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 6 1 4 8 8 4 4 1 3 5 * MATHEMATICS 0580/32 Paper 3 (Core) May/June 2016 Candidates answer on the

More information

Section A Plotting Straight Line Graphs Grade D / C

Section A Plotting Straight Line Graphs Grade D / C Name: Teacher Assessment Section A Plotting Straight Line Grade D / C. The diagram shows the points P (0, 4) and Q (5, 2). Q O Find the coordinates of the mid-point of the line segment PQ. P Answer (...,...

More information

IES LAURETUM SCIENCE MATTER

IES LAURETUM SCIENCE MATTER IES LAURETUM SCIENCE NAME MATTER IES LAURETUM SCIENCE NAME MATTER CONTENTS 1. Wh_t is m_tter? 2. Properti_s of matt_r 3. Ma_s 4. T_me 5. Temperatur_ 6. L_ngth 7. Surf_ce area 8. Volum_ 9. Densit_ 1. What

More information

Q1. The density of aluminum is 2700 kg/m 3. Find the mass of a uniform solid aluminum cylinder of radius cm and height cm.

Q1. The density of aluminum is 2700 kg/m 3. Find the mass of a uniform solid aluminum cylinder of radius cm and height cm. Coordinator: W. Al-Basheer Sunday, June 28, 2015 Page: 1 Q1. The density of aluminum is 2700 kg/m 3. Find the mass of a uniform solid aluminum cylinder of radius 10.00 cm and height 30.48 cm. A) 25.85

More information

Measurement workshop notebook November 15, 2017

Measurement workshop notebook November 15, 2017 Mathletics http://uk.mathletics.com/ uk.mathletics.com Single sign in Monday 20th November 2017 Measurement Workshop Year 1 - compare, describe and solve practical problems for: lengths and heights [for

More information

The pairs of terms: mass and weight, volume and capacity, are used interchangeably at this stage.

The pairs of terms: mass and weight, volume and capacity, are used interchangeably at this stage. MEASUREMENT 2014 and 2006 COMPARISON PROGRESSION DOCUMENT YEAR 1 NC 2014 Programme of study (statutory requirements) NC 2014 Notes and Guidance (non-statutory) PNS 2006 Compare, describe and solve practical

More information

Distance vs. Displacement, Speed vs. Velocity, Acceleration, Free-fall, Average vs. Instantaneous quantities, Motion diagrams, Motion graphs,

Distance vs. Displacement, Speed vs. Velocity, Acceleration, Free-fall, Average vs. Instantaneous quantities, Motion diagrams, Motion graphs, Distance vs. Displacement, Speed vs. Velocity, Acceleration, Free-fall, Average vs. Instantaneous quantities, Motion diagrams, Motion graphs, Kinematic formulas. A Distance Tells how far an object is from

More information

Chapter Test C. The Properties of Matter MULTIPLE CHOICE. 1. What has mass and takes up space? MATs1 a. weight b. volume c. space d.

Chapter Test C. The Properties of Matter MULTIPLE CHOICE. 1. What has mass and takes up space? MATs1 a. weight b. volume c. space d. Assessment Chapter Test C The Properties of Matter MULTIPLE CHOICE Circle the letter of the best answer for each question. 1. What has mass and takes up space? MATs1 a. weight b. volume c. space d. matter

More information

W igan LEA Numeracy Cent re. Year 5 Ment al Arit hmet ic Test s. Produced by W igan Numeracy Cent re Sept ember 2000

W igan LEA Numeracy Cent re. Year 5 Ment al Arit hmet ic Test s. Produced by W igan Numeracy Cent re Sept ember 2000 W igan LEA Numeracy Cent re Year 5 Ment al Arit hmet ic Test s Produced by W igan Numeracy Cent re Sept ember 000 Year Five Mental Arithmetic Test ( end of week ) 5 second response time. Write the number

More information

Area and Volume 2. Circles. Trapeziums. and Measures. Geometry. Key Point. Key Point. Key Point

Area and Volume 2. Circles. Trapeziums. and Measures. Geometry. Key Point. Key Point. Key Point Geometry and Measures Area and Volume 2 You must be able to: Recall and use the formulae for the circumference and area of a circle Recall and use the formula for the area of a trapezium Recall and use

More information

Area and Volume 1. Circumference and Area of a Circle. Area of a Trapezium. and Measures. Geometry. Key Point. Key Point.

Area and Volume 1. Circumference and Area of a Circle. Area of a Trapezium. and Measures. Geometry. Key Point. Key Point. Geometry and Measures Area and Volume 1 You must be able to: Recall and use the formulae for the circumference and area of a circle Recall and use the formula for the area of a trapezium Recall and use

More information

The graphs above are based on the average data from our marble trials. What are the differences between these two graphs? Why do you suppose they are

The graphs above are based on the average data from our marble trials. What are the differences between these two graphs? Why do you suppose they are The graphs above are based on the average data from our marble trials. What are the differences between these two graphs? Why do you suppose they are different? What does each graph tell us about our experiment?

More information

Maths GCSE Langdon Park Foundation Calculator pack A

Maths GCSE Langdon Park Foundation Calculator pack A Maths GCSE Langdon Park Foundation Calculator pack A Name: Class: Date: Time: 96 minutes Marks: 89 marks Comments: Q1. The table shows how 25 students travel to school. Walk Bus Car Taxi 9 8 7 1 Draw a

More information

Mass and Volume. LESSON 4 Mass Communication. Think About It. Exploring the Topic Measuring Volume

Mass and Volume. LESSON 4 Mass Communication. Think About It. Exploring the Topic Measuring Volume Printed Page 13 [Notes/Highlighting] LESSON 4 Mass Communication Think About It Suppose you have two samples of gold, a gold ring and a gold nugget. Is there more gold in the ring or in the nugget? They

More information

Using the distance formula Using formulas to solve unknowns. Pythagorean Theorem. Finding Legs of Right Triangles

Using the distance formula Using formulas to solve unknowns. Pythagorean Theorem. Finding Legs of Right Triangles Math 154 Chapter 9.6: Applications of Radical Equations Objectives: Finding legs of right triangles Finding hypotenuse of right triangles Solve application problems involving right triangles Pythagorean

More information

APPLIED MATHEMATICS HIGHER LEVEL

APPLIED MATHEMATICS HIGHER LEVEL L.42 PRE-LEAVING CERTIFICATE EXAMINATION, 203 APPLIED MATHEMATICS HIGHER LEVEL TIME : 2½ HOURS Six questions to be answered. All questions carry equal marks. A Formulae and Tables booklet may be used during

More information

Mass, Volume, & Density

Mass, Volume, & Density Mass, Volume, & Density Short Informational Videos Mass Volume & Density Buoyancy Mass Measurement of the amount of matter (or stuff) in an object Measured in grams (g) There are 3 states of matter: Solid

More information

Log1 Contest Round 2 Theta Geometry

Log1 Contest Round 2 Theta Geometry 008 009 Log Contest Round Theta Geometry Name: Leave answers in terms of π. Non-integer rational numbers should be given as a reduced fraction. Units are not needed. 4 points each What is the perimeter

More information

Pre Comp Review Questions 8 th Grade Answers

Pre Comp Review Questions 8 th Grade Answers Pre Comp Review Questions 8 th Grade Answers Section 1 Units 1. Fill in the missing SI and English Units Measurement SI Unit SI Symbol English Unit English Symbol Time second s second s. Temperature Kelvin

More information

BORABU - MASABA NORTH DISTRICTS JOINT EVALUATION TEST Kenya Certificate of Secondary Education (K.C.S.E)

BORABU - MASABA NORTH DISTRICTS JOINT EVALUATION TEST Kenya Certificate of Secondary Education (K.C.S.E) Name. School Index No.. Candidate s sign. Date. 232/1 PHYSICS Paper 1 THEORY July/August 2010 2 Hours BORABU - MASABA NORTH DISTRICTS JOINT EVALUATION TEST - 2010 Kenya Certificate of Secondary Education

More information

Related Rates Example 1 Example 2 Example 3 Example 4 Example 5. Related Rates. Tamara Kucherenko

Related Rates Example 1 Example 2 Example 3 Example 4 Example 5. Related Rates. Tamara Kucherenko Eample 1 Eample 2 Eample 3 Eample 4 Eample 5 Eample 1 Eample 2 Eample 3 Eample 4 Eample 5 In related rates problems we compute the rate of change of one quantity in terms of the rate of change of the other.

More information

Chapter 3, Lesson 2: Finding Volume The Water Displacement Method

Chapter 3, Lesson 2: Finding Volume The Water Displacement Method Chapter 3, Lesson 2: Finding Volume The Water Displacement Method Key Concepts A submerged object displaces a volume of liquid equal to the volume of the object. One milliliter (1 ml) of water has a volume

More information

In which row is the size of the vector equal to the size of the scalar?

In which row is the size of the vector equal to the size of the scalar? 1 Each row contains a vector and a scalar. In which row is the size of the vector equal to the size of the scalar? vector displacement of a car velocity of a car velocity of a car weight of a car scalar

More information

Motion Unit Review 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a

Motion Unit Review 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a Motion Unit Review 1. To create real-time graphs of an object s displacement versus time and velocity versus time, a student would need to use a A motion sensor.b low- g accelerometer. C potential difference

More information

Pre Calculus 11 Practice Midyear Exam 2014

Pre Calculus 11 Practice Midyear Exam 2014 Class: Date: Pre Calculus 11 Practice Midyear Exam 201 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which of the following numbers occurs in the sequence

More information

Mathematics Paper 3 (Calculator)

Mathematics Paper 3 (Calculator) Write your name here Surname Other names Pearson Edexcel Level 1/Level 2 GCSE (9-1) Centre Number Candidate Number Mathematics Paper 3 (Calculator) Specimen Papers Set 2 Time: 1 hour 30 minutes Higher

More information

Unit 1 Introduction to Chemistry & Data Analysis Chapters 1 2 of your book.

Unit 1 Introduction to Chemistry & Data Analysis Chapters 1 2 of your book. Unit 1 Introduction to Chemistry & Data Analysis Chapters 1 2 of your book. Early Booklet E.C.: / 2 Unit 1 Hwk. Pts: / 29 Unit 1 Lab Pts: / 56 Late, Incomplete, No Work, No Units Fees? Y / N Learning Targets

More information

TALLER DE HIDROSTÁTICA

TALLER DE HIDROSTÁTICA TALLER DE HIDROSTÁTICA 1) Substance A has a density of 3 g/cm 3 and substance B has a density of 4 g/cm 3. In order to obtain equal masses of these two substances, what must be the ratio of the volume

More information

Unit 2. Phases of Matter and Density

Unit 2. Phases of Matter and Density Name Pd Unit 2 Phases of Matter and Density Name Pd Name Pd Homework for Unit 2 1. Vocab for Unit 2; due: 2. Pg 17 (1-5), pg 19 (1-5), pg21 (1-5) complete sentences; due: 3. Pg 23 (1-6), pg 27 (1-6) complete

More information

2 and v! = 3 i! + 5 j! are given.

2 and v! = 3 i! + 5 j! are given. 1. ABCD is a rectangle and O is the midpoint of [AB]. D C 2. The vectors i!, j! are unit vectors along the x-axis and y-axis respectively. The vectors u! = i! + j! 2 and v! = 3 i! + 5 j! are given. (a)

More information

43603F. (NOV F01) WMP/Nov13/43603F/E4. General Certificate of Secondary Education Foundation Tier November Unit 3

43603F. (NOV F01) WMP/Nov13/43603F/E4. General Certificate of Secondary Education Foundation Tier November Unit 3 Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark General Certificate of Secondary Education Foundation Tier November 2013 3 4 5 Mathematics

More information

Graphical Analysis; and Vectors

Graphical Analysis; and Vectors Graphical Analysis; and Vectors Graphs Drawing good pictures can be the secret to solving physics problems. It's amazing how much information you can get from a diagram. We also usually need equations

More information

NAME: Log onto YouTube and search for jocrisci channel. All video listed with numbers below and sorted into playlists for easy access.

NAME: Log onto YouTube and search for jocrisci channel. All video listed with numbers below and sorted into playlists for easy access. NAME: Log onto YouTube and search for jocrisci channel. All video listed with numbers below and sorted into playlists for easy access. GRAPHING (Video 1.2) 1. Look at a data table: a. Determine which column

More information