Q1. Here is the start of a spiral sequence of right-angled triangles. Draw accurately the next right-angled triangle on the diagram.
|
|
|
- Joel McGee
- 7 years ago
- Views:
Transcription
1 Q. Here is the start of a spiral sequence of right-angled triangles. Draw accurately the next right-angled triangle on the diagram. You may use an angle measurer. 2 marks Use an angle measurer to find the size of angle A. Page of 29
2 Q2. On the grid below, use a ruler to draw a pentagon that has three right angles. Q3. This is a design for an arrowhead. Below is part of a larger scale drawing of the arrowhead. The drawing has the same size angles as the design. Page 2 of 29
3 Draw two more lines to complete the arrowhead accurately. Use an angle measurer (protractor). 2 marks Page 3 of 29
4 Q4. Here is a shaded shape on a grid made of squares. Draw the line of symmetry of the shaded shape. You may use a mirror or tracing paper. What fraction of the area of the grid is shaded? Measure angle x in degrees. Use an angle measurer (protractor). Page 4 of 29
5 Q5. Here is a dial. The pointer on this dial turns in a clockwise direction. The pointer is at 0. Which number does it point to after a turn of 270? The pointer moves from 0 to. How many degrees does it turn through? Q6. Here is a sketch of a triangle. It is not drawn to scale. Page 5 of 29
6 Draw the full size triangle accurately, below. Use an angle measurer (protractor) and a ruler. One line has been done for you. 2 marks Q7. Here is a shape on a square grid. Page 6 of 29
7 For each sentence, put a tick ( ) if it is true. Put a cross ( ) if it is not true. Angle C is an obtuse angle. Angle D is an acute angle. Line AD is parallel to line BC. Line AB is perpendicular to line AD. 2 marks Q8. Here is an equilateral triangle inside a rectangle. Calculate the value of angle x. Do not use a protractor (angle measurer). 2 marks Page 7 of 29
8 Q9. Look at this diagram. Calculate the size of angle x and angle y. Do not use a protractor (angle measurer). x y Q0. PQ is a straight line. Not drawn accurately Calculate the size of angle x. Do not use a protractor (angle measurer). Page 8 of 29
9 Q. Measure angle x accurately. Use a protractor (angle measurer). Q2. Here is an isosceles triangle. Calculate the size of angle x. Do not use a protractor (angle measurer). x Page 9 of 29
10 Q3. Look at this star. Use a ruler to measure accurately the width of the star, from P to Q. Give your answer in millimetres. mm Use a protractor (angle measurer) to measure angle b. Page 0 of 29
11 Q4. Here is a sketch of a triangle. It is not drawn to scale. Draw the full-size triangle accurately below. Use a protractor (angle measurer) and a ruler. One line has been drawn for you. 2 marks Page of 29
12 Q5. Jamie draws a triangle. He says, Two of the three angles in my triangle are obtuse. Explain why Jamie cannot be correct. Q6. This regular 2-sided shape has a number at each vertex. Ben turns the pointer from zero, clockwise through 50 Which number will the pointer now be at? Page 2 of 29
13 Nisha turns the pointer clockwise from number 2 to number Through how many degrees does the pointer turn? Q7. Not to scale Calculate the size of angle y in this diagram. Do not use a protractor (angle measurer). y = Page 3 of 29
14 Q8. Here is a grid of dots. Point A and point B are joined by a straight line. Draw a line to join point A to another dot on the grid so that the two lines make a right angle. Use a ruler. Page 4 of 29
15 Q9. Here is a sketch of a quadrilateral. It is not drawn to scale. Draw the full-size quadrilateral accurately below. Use a protractor (angle measurer) and a ruler. Two of the lines have been drawn for you. 2 marks Page 5 of 29
16 Q20. The diagram shows four lines drawn on a square grid. The lines are AB, BC, CD and DA. Which two of the lines are parallel? Circle them in the list below. AB BC CD DA Which two of the lines are perpendicular? Circle them in the list below. AB BC CD DA Q2. The diagram shows an isosceles triangle and a square on a straight line. Page 6 of 29
17 Calculate angle α. 2 marks Page 7 of 29
18 Q22. Calculate the size of angle p in the diagram. Do not use a protractor (angle measurer). 2 marks Page 8 of 29
19 M. (a) See diagram below. Award TWO marks for triangle vertex on or within inner boundary. Award ONE mark for triangle vertex between boundaries or on outer boundary. No marks awarded for triangle vertex outside outer boundary. No marks are awarded for incomplete triangles or triangles not attached to main diagram, even if vertex is within prescribed boundaries. Up to 2 (b) An answer in the range 23 to 27 inclusive. Answer need not be a whole number. [3] M2. Any pentagon which has three right angles, eg The shape need not follow grid lines. Allow slight inaccuracies in drawing, provided the intention is clear [] Page 9 of 29
20 M3. Markers will use an acetate overlay of this page to mark children s answers to this question. Award TWO marks for completed diagrams which have BOTH angles in the range 39 to 4 inclusive, ie all lines drawn within the inner boundary on the above diagram. If this is not the case, award ONE mark for diagrams which have BOTH angles in the range 38 to 42 inclusive, ie all lines within the wider boundary on the above diagram. The diagram need not be completed. Accept slight errors in the completion of the diagram, provided the intention is clear, eg if the lines meeting at the tip of the arrow are slightly too long or too short. [2] Page 20 of 29
21 M4. (a) Line of symmetry drawn as shown. The length of the line is unimportant, provided the intention is clear. Accept slight inaccuracies in drawing provided the intention is clear. (b) / 5 OR 0.2 OR 20% 5 Accept equivalent fractions, eg / 25 (c) Answer in the range of 40 to 46 inclusive. [3] M5. (a) 9 (b) 30 [2] M6. Markers will use a transparent overlay of this page to mark children s answers to this question. Page 2 of 29
22 Award TWO marks for an angle in the range 47 ; to 49 ; inclusive AND a sloping line in the range 6.9 to 7. cm inclusive (ie upper vertex of triangle within inner box on diagram) AND a completed triangle. Do not penalise diagrams where any side has been extended past a vertex. Accept drawings which do not use the given 0cm base line, provided they have used a line with a length in the range 9.9 to 0.cm inclusive. If the answer is incorrect, award ONE mark for an angle in the range 46 ; to 50 ; inclusive AND sloping line in the range 6.8 to 7.2cm inclusive (ie upper vertex of triangle within larger box on diagram). Diagram need not be complete. Drawings not using the given 0cm base line, which have a base line outside the range 9.9 to 0.cm are awarded ONE mark provided they have an angle in the range 47 to 49 inclusive AND a sloping line in the range 6.9 to 7.cm inclusive. up to 2 [2] M7. Award TWO marks for the boxes ticked and crossed as shown: If the answer is incorrect, award ONE mark for any three boxes ticked or crossed correctly OR two boxes correctly ticked and the other two boxes left blank. Up to 2 [2] M8. Award TWO marks for the correct answer of 8 Calculation need not be performed for the award of the mark. If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Up to 2 [2] Page 22 of 29
23 M9. (a) x = (b) y = If the answers for (a) and (b) are transposed, but otherwise correct, award ONE mark only, in the (b) box. [2] M0. 07 [] M. Answer in the range 93 degrees to 97 degrees inclusive [] M2. x = [] M3. (a) Answer in the range 26mm to 28mm inclusive. (b) Answer in the range 2 degrees to 23 degrees inclusive. [2] Page 23 of 29
24 M4. Markers will use a transparent overlay of this page to mark pupils answers to this question. Award TWO marks for a triangle drawn with an angle in the range 70 to 74 inclusive AND length of sloping line in the range 6.9cm to 7. cm inclusive (ie upper vertex of triangle within inner box on diagram). If the answer is incorrect, award ONE mark for: a completed triangle drawn with an angle in the range 70 to 74 inclusive. OR a completed triangle drawn with an angle in the range 69 to 75 inclusive AND length of sloping line in the range 6.8 cm to 7.2 cm inclusive. Accept drawings where any side has been extended past a vertex. Accept drawings which do not use the given 0 cm base line, provided they have used a line with a length in the range 9.9 cm to 0. cm inclusive. Accept for ONE mark drawings not using the given 0 cm base line which have a base line outside the range 9.9cm to 0. cm, provided they have an angle in the range 70 to 74 inclusive AND a sloping line in the range 6.9 cm to 7. cm inclusive. Accept for ONE mark drawings of incomplete triangles, provided they have an angle in the range 70 to 74 inclusive AND a sloping line in the range 6.9 cm to 7. cm inclusive. Up to 2 [2] Page 24 of 29
25 M5. An explanation (or diagram) which recognises that the sum of two obtuse angles would be greater than 80 degrees, eg: An obtuse angle is greater than 90 degrees and the angles of a triangle add up to 80 degrees Two obtuse angles add up to more than degrees is less than two obtuse angles It must have at least two acute angles The shape would need more than 3 sides to join up Do not accept answers that refer only to the properties of obtuse angles OR to the angles of a triangle, eg: The angles of a triangle add up to 80 degrees Obtuse angles are greater than 90 degrees. Do not accept vague or incomplete explanations, eg: A triangle cannot have two obtuse angles Obtuse angles would be too big You can only have acute angles. U [] M6. (a) 5 (b) 270 Accept any answer that is 270 greater than a multiple of 360 If the answer for (a) is 7 AND the answer for (b) is 90, award ONE mark only for (b). [2] M7. 25 [] Page 25 of 29
26 M8. Line drawn from A to one of the two dots marked as shown: OR Accept slight inaccuracies in drawing [] Page 26 of 29
27 M9. Markers will use a transparent overlay of this page to mark pupils answers to this question. Award TWO marks for a quadrilateral drawn with an angle in the range 73 to 77 inclusive AND length of sloping line in the range 9.cm to 9.3cm inclusive (ie upper vertex of quadrilateral within inner box on diagram). If the answer is incorrect, award ONE mark for: a completed quadrilateral drawn with an angle in the range 73 to 77 inclusive OR a completed quadrilateral drawn with an angle in the range 72 to 78 inclusive AND length of sloping line in the range 9.0cm to 9.4cm inclusive. Accept drawings where any side has been extended past a vertex. Accept drawings which do not use the given 8cm base line, provided they have used a line with a length in the range 7.8cm to 8.2cm inclusive. Accept for ONE mark drawings not using the given 8cm base line which have a base line outside the range 7.8cm to 8.2cm, provided they have an angle in the range 73 to 77 inclusive AND a sloping line in the range 9.cm to 9.3cm inclusive. Accept for ONE mark drawings of incomplete quadrilaterals, provided they have an angle in the range 73 to 77 inclusive AND a sloping line in the range 9.cm to 9.3cm inclusive. Up to 2 [2] Page 27 of 29
28 M20. (a) Accept alternative unambiguous indications of the correct lines. (b) Accept alternative unambiguous indications of the correct lines. [2] M2. 7 or! Answer written on diagram Accept providing there is no ambiguity 2 73 seen (one of the other angles in the isosceles triangle) OR Shows or implies a complete correct method, eg: = 44 (error) 44 2 = = 28 (error) [2] M22. Award TWO marks for correct answer of 70 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg: = Up to 2 OR Answer need not be obtained for the award of ONE mark. Up to 2 [2] Page 28 of 29
29 Page 29 of 29
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
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
Geometry Progress Ladder
Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes
SPRING UNIT 14. second half. Line symmetry and reflection. Measuring angles. Naming and estimating angles. Drawing angles
PART SPRING second half SHAPE AND SPACE SECTION Line symmetry and reflection SECTION Measuring angles SECTION Naming and estimating angles SECTION Drawing angles SECTION 5 Calculations involving angles
Grade 3 Core Standard III Assessment
Grade 3 Core Standard III Assessment Geometry and Measurement Name: Date: 3.3.1 Identify right angles in two-dimensional shapes and determine if angles are greater than or less than a right angle (obtuse
2. If C is the midpoint of AB and B is the midpoint of AE, can you say that the measure of AC is 1/4 the measure of AE?
MATH 206 - Midterm Exam 2 Practice Exam Solutions 1. Show two rays in the same plane that intersect at more than one point. Rays AB and BA intersect at all points from A to B. 2. If C is the midpoint of
MATHEMATICS TEST. Paper 1 calculator not allowed LEVEL 6 TESTS ANSWER BOOKLET. First name. Middle name. Last name. Date of birth Day Month Year
LEVEL 6 TESTS ANSWER BOOKLET Ma MATHEMATICS TEST LEVEL 6 TESTS Paper 1 calculator not allowed First name Middle name Last name Date of birth Day Month Year Please circle one Boy Girl Year group School
SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4
SGS4.3 Stage 4 Space & Geometry Part A Activity 2-4 Exploring triangles Resources required: Each pair students will need: 1 container (eg. a rectangular plastic takeaway container) 5 long pipe cleaners
Estimating Angle Measures
1 Estimating Angle Measures Compare and estimate angle measures. You will need a protractor. 1. Estimate the size of each angle. a) c) You can estimate the size of an angle by comparing it to an angle
Geometry of 2D Shapes
Name: Geometry of 2D Shapes Answer these questions in your class workbook: 1. Give the definitions of each of the following shapes and draw an example of each one: a) equilateral triangle b) isosceles
Mark schemes for Paper 1, Paper 2 and Mental mathematics
Ma YEAR 7 LEVELS 3 4 2003 Year 7 progress test in mathematics Mark schemes for Paper 1, Paper 2 and Mental mathematics 2003 2003 Year 7 Progress Mathematics Test Mark Scheme Introduction Introduction The
Target To know the properties of a rectangle
Target To know the properties of a rectangle (1) A rectangle is a 3-D shape. (2) A rectangle is the same as an oblong. (3) A rectangle is a quadrilateral. (4) Rectangles have four equal sides. (5) Rectangles
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:
Test A. Calculator not allowed. Mathematics test. First name. Last name. School. DfE no. KEY STAGE LEVELS
Ma KEY STAGE 2 LEVELS 3 5 Mathematics test Test A Calculator not allowed First name Last name School DfE no. 2011 For marker s use only Page 5 7 9 11 13 15 17 19 21 23 TOTAL Marks These three children
Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3
Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels
11.3 Curves, Polygons and Symmetry
11.3 Curves, Polygons and Symmetry Polygons Simple Definition A shape is simple if it doesn t cross itself, except maybe at the endpoints. Closed Definition A shape is closed if the endpoints meet. Polygon
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 1FR Centre Number Tuesday 6 January 2015 Afternoon Time: 2 hours Candidate Number Foundation Tier Paper Reference
Convert between units of area and determine the scale factor of two similar figures.
CHAPTER 5 Units of Area c GOAL Convert between units of area and determine the scale factor of two. You will need a ruler centimetre grid paper a protractor a calculator Learn about the Math The area of
Angles that are between parallel lines, but on opposite sides of a transversal.
GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,
39 Symmetry of Plane Figures
39 Symmetry of Plane Figures In this section, we are interested in the symmetric properties of plane figures. By a symmetry of a plane figure we mean a motion of the plane that moves the figure so that
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
The Triangle and its Properties
THE TRINGLE ND ITS PROPERTIES 113 The Triangle and its Properties Chapter 6 6.1 INTRODUCTION triangle, you have seen, is a simple closed curve made of three line segments. It has three vertices, three
Free Inductive/Logical Test Questions
Free Inductive/Logical Test Questions (With questions and answers) JobTestPrep invites you to a free practice session that represents only some of the materials offered in our online practice packs. Have
Mathematics tests. Mark schemes KEY STAGE 2. Test A, Test B and Mental mathematics LEVELS 3 5. National curriculum assessments
Ma KEY STAGE 2 LEVELS 3 5 Mathematics tests Mark schemes Test A, Test B and Mental mathematics 2009 National curriculum assessments QCA wishes to make its publications widely accessible. Please contact
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
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
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
Reflection and Refraction
Equipment Reflection and Refraction Acrylic block set, plane-concave-convex universal mirror, cork board, cork board stand, pins, flashlight, protractor, ruler, mirror worksheet, rectangular block worksheet,
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
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
NEW MEXICO Grade 6 MATHEMATICS STANDARDS
PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical
Numeracy Targets. I can count at least 20 objects
Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects
UNIT H1 Angles and Symmetry Activities
UNIT H1 Angles and Symmetry Activities Activities H1.1 Lines of Symmetry H1.2 Rotational and Line Symmetry H1.3 Symmetry of Regular Polygons H1.4 Interior Angles in Polygons Notes and Solutions (1 page)
Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Centre No. Candidate No. Paper Reference 1 3 8 0 4 H Paper Reference(s) 1380/4H Edexcel GCSE Mathematics (Linear) 1380 Paper 4 (Calculator) Higher Tier Friday 11 June 2010 Morning Time: 1 hour 45 minutes
MATHS LEVEL DESCRIPTORS
MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and
SAMPLE BOOKLET Published July 2015
National curriculum tests Key stage 2 Mathematics Mark schemes SAMPLE BOOKLET Published July 2015 This sample test indicates how the national curriculum will be assessed from 2016. Further information
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
Unit 6 Direction and angle
Unit 6 Direction and angle Three daily lessons Year 4 Spring term Unit Objectives Year 4 Recognise positions and directions: e.g. describe and find the Page 108 position of a point on a grid of squares
Three-Dimensional Figures or Space Figures. Rectangular Prism Cylinder Cone Sphere. Two-Dimensional Figures or Plane Figures
SHAPE NAMES Three-Dimensional Figures or Space Figures Rectangular Prism Cylinder Cone Sphere Two-Dimensional Figures or Plane Figures Square Rectangle Triangle Circle Name each shape. [triangle] [cone]
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 Mathematics B Paper 1 Centre Number Candidate Number Monday 6 June 2011 Afternoon Time: 1 hour 30 minutes Paper Reference 4MB0/01 You must have: Ruler
Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.
Centre No. Candidate No. Paper Reference 1 3 8 0 3 H Paper Reference(s) 1380/3H Edexcel GCSE Mathematics (Linear) 1380 Paper 3 (Non-Calculator) Higher Tier Monday 18 May 2009 Afternoon Time: 1 hour 45
Geometry Module 4 Unit 2 Practice Exam
Name: Class: Date: ID: A Geometry Module 4 Unit 2 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which diagram shows the most useful positioning
Cambridge International Examinations Cambridge Primary Checkpoint
Cambridge International Examinations Cambridge Primary Checkpoint MATHEMATICS 0845/02 Paper 2 For Examination from 2014 SPECIMEN PAPER 45 minutes Candidates answer on the Question Paper. Additional Materials:
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 1FR Centre Number Wednesday 14 May 2014 Morning Time: 2 hours Candidate Number Foundation Tier Paper Reference
Test A. Calculator not allowed. Mathematics test. First name. Last name. School. DCSF no. KEY STAGE LEVELS
Ma KEY STAGE 2 LEVELS 3 5 Mathematics test Test A Calculator not allowed First name Last name School DCSF no. 2010 For marker s use only Page 5 7 9 11 13 15 17 19 21 TOTAL Marks These three children appear
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.
Grade 7 & 8 Math Circles Circles, Circles, Circles March 19/20, 2013
Faculty of Mathematics Waterloo, Ontario N2L 3G Introduction Grade 7 & 8 Math Circles Circles, Circles, Circles March 9/20, 203 The circle is a very important shape. In fact of all shapes, the circle is
Mathematics Test Book 1
Mathematics Test Book Grade 5 March 2 6, 2009 233 Developed and published under contract with the New York State Education Department by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies,
2016 national curriculum tests. Key stage 2. Mathematics test mark schemes. Paper 1: arithmetic Paper 2: reasoning Paper 3: reasoning
2016 national curriculum tests Key stage 2 Mathematics test mark schemes Paper 1: arithmetic Paper 2: reasoning Paper 3: reasoning Contents 1. Introduction 3 2. Structure of the key stage 2 mathematics
Geometry Chapter 1. 1.1 Point (pt) 1.1 Coplanar (1.1) 1.1 Space (1.1) 1.2 Line Segment (seg) 1.2 Measure of a Segment
Geometry Chapter 1 Section Term 1.1 Point (pt) Definition A location. It is drawn as a dot, and named with a capital letter. It has no shape or size. undefined term 1.1 Line A line is made up of points
Shapes & Designs Notes
Problem 1.1 Definitions: regular polygons - polygons in which all the side lengths and angles have the same measure edge - also referred to as the side of a figure tiling - covering a flat surface with
Teaching Guidelines. Knowledge and Skills: Can specify defining characteristics of common polygons
CIRCLE FOLDING Teaching Guidelines Subject: Mathematics Topics: Geometry (Circles, Polygons) Grades: 4-6 Concepts: Property Diameter Radius Chord Perimeter Area Knowledge and Skills: Can specify defining
AUTUMN UNIT 3. first half. Perimeter. Centimetres and millimetres. Metres and centimetres. Area. 3D shapes PART 3 MEASURES AND PROPERTIES OF SHAPES
PART AUTUMN first half MEASURES AND PROPERTIES OF SHAPES SECTION Perimeter SECTION Centimetres and millimetres SECTION Metres and centimetres SECTION Key Stage National Strategy CROWN COPYRIGHT 00 Area
Special Segments in Triangles
HPTER 10 Special Segments in Triangles c GOL Identify the altitudes, medians, and angle bisectors in a triangle. You will need a protractor a ruler Learn about the Math Every triangle has three bases and
Classifying Lesson 1 Triangles
Classifying Lesson 1 acute angle congruent scalene Classifying VOCABULARY right angle isosceles Venn diagram obtuse angle equilateral You classify many things around you. For example, you might choose
37 Basic Geometric Shapes and Figures
37 Basic Geometric Shapes and Figures In this section we discuss basic geometric shapes and figures such as points, lines, line segments, planes, angles, triangles, and quadrilaterals. The three pillars
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Thursday, June 17, 2010 1:15 to 4:15 p.m., only Student Name: School Name: Print your name and the name of your
Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Centre No. Candidate No. Paper Reference 1 3 8 0 2 F Paper Reference(s) 1380/2F Edexcel GCSE Mathematics (Linear) 1380 Paper 2 (Calculator) Foundation Tier Friday 12 November 2010 Morning Time: 1 hour
Intermediate Math Circles October 10, 2012 Geometry I: Angles
Intermediate Math Circles October 10, 2012 Geometry I: Angles Over the next four weeks, we will look at several geometry topics. Some of the topics may be familiar to you while others, for most of you,
Developing Conceptual Understanding of Number. Set J: Perimeter and Area
Developing Conceptual Understanding of Number Set J: Perimeter and Area Carole Bilyk cbilyk@gov.mb.ca Wayne Watt wwatt@mts.net Perimeter and Area Vocabulary perimeter area centimetres right angle Notes
Selected practice exam solutions (part 5, item 2) (MAT 360)
Selected practice exam solutions (part 5, item ) (MAT 360) Harder 8,91,9,94(smaller should be replaced by greater )95,103,109,140,160,(178,179,180,181 this is really one problem),188,193,194,195 8. On
Perimeter is the length of the boundary of a two dimensional figure.
Section 2.2: Perimeter and Area Perimeter is the length of the boundary of a two dimensional figure. The perimeter of a circle is called the circumference. The perimeter of any two dimensional figure whose
Mathematics 2540 Paper 5540H/3H
Edexcel GCSE Mathematics 540 Paper 5540H/3H November 008 Mark Scheme 1 (a) 3bc 1 B1 for 3bc (accept 3cb or bc3 or cb3 or 3 b c oe, but 7bc 4bc gets no marks) (b) x + 5y B for x+5y (accept x+y5 or x + 5
Possible Stage Two Mathematics Test Topics
Possible Stage Two Mathematics Test Topics The Stage Two Mathematics Test questions are designed to be answerable by a good problem-solver with a strong mathematics background. It is based mainly on material
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:
Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass
Centre of Mass A central theme in mathematical modelling is that of reducing complex problems to simpler, and hopefully, equivalent problems for which mathematical analysis is possible. The concept of
Classifying Quadrilaterals
1 lassifying Quadrilaterals Identify and sort quadrilaterals. 1. Which of these are parallelograms?,, quadrilateral is a closed shape with 4 straight sides. trapezoid has exactly 1 pair of parallel sides.
Area. Area Overview. Define: Area:
Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.
Mathematics standards
Mathematics standards Grade 6 Summary of students performance by the end of Grade 6 Reasoning and problem solving Students represent and interpret routine and non-routine mathematical problems in a range
http://www.castlelearning.com/review/teacher/assignmentprinting.aspx 5. 2 6. 2 1. 10 3. 70 2. 55 4. 180 7. 2 8. 4
of 9 1/28/2013 8:32 PM Teacher: Mr. Sime Name: 2 What is the slope of the graph of the equation y = 2x? 5. 2 If the ratio of the measures of corresponding sides of two similar triangles is 4:9, then the
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
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
Year 9 mathematics test
Ma KEY STAGE 3 Year 9 mathematics test Tier 6 8 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:
1. A student followed the given steps below to complete a construction. Which type of construction is best represented by the steps given above?
1. A student followed the given steps below to complete a construction. Step 1: Place the compass on one endpoint of the line segment. Step 2: Extend the compass from the chosen endpoint so that the width
Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 4 6
Ma KEY STAGE 3 Mathematics test TIER 4 6 Paper 1 Calculator not allowed First name Last name School 2007 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You
Tutorial 1: The Freehand Tools
UNC Charlotte Tutorial 1: The Freehand Tools In this tutorial you ll learn how to draw and construct geometric figures using Sketchpad s freehand construction tools. You ll also learn how to undo your
" Angles ABCand DEFare congruent
Collinear points a) determine a plane d) are vertices of a triangle b) are points of a circle c) are coplanar 2. Different angles that share a common vertex point cannot a) share a common angle side! b)
Lesson 1.1 Building Blocks of Geometry
Lesson 1.1 Building Blocks of Geometry For Exercises 1 7, complete each statement. S 3 cm. 1. The midpoint of Q is. N S Q 2. NQ. 3. nother name for NS is. 4. S is the of SQ. 5. is the midpoint of. 6. NS.
Paper 2. Calculator not allowed. Mathematics tests KEY STAGE LEVELS. First name. Middle name. Last name. Date of birth Day Month Year.
Ma KEY STAGE 2 Mathematics tests LEVELS 3 5 Paper 2 Calculator not allowed First name Middle name 2014 Last name Date of birth Day Month Year School name DfE number For marker s use only Page 5 7 9 11
Grade 8 Mathematics Geometry: Lesson 2
Grade 8 Mathematics Geometry: Lesson 2 Read aloud to the students the material that is printed in boldface type inside the boxes. Information in regular type inside the boxes and all information outside
Line Segments, Rays, and Lines
HOME LINK Line Segments, Rays, and Lines Family Note Help your child match each name below with the correct drawing of a line, ray, or line segment. Then observe as your child uses a straightedge to draw
Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 5 7
Ma KEY STAGE 3 Mathematics test TIER 5 7 Paper 1 Calculator not allowed First name Last name School 2009 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You
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
Charlesworth School Year Group Maths Targets
Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve
Paper 1. Calculator not allowed. Mathematics test. First name. Last name. School. Remember KEY STAGE 3 TIER 3 5
Ma KEY STAGE 3 Mathematics test TIER 3 5 Paper 1 Calculator not allowed First name Last name School 2008 Remember The test is 1 hour long. You must not use a calculator for any question in this test. You
MATHEMATICS A A502/01 Unit B (Foundation Tier)
THIS IS A NEW SPECIFICATION F GENERAL CERTIFICATE OF SECONDARY EDUCATION MATHEMATICS A A502/01 Unit B (Foundation Tier) *A533721112* Candidates answer on the question paper. OCR supplied materials: None
/27 Intro to Geometry Review
/27 Intro to Geometry Review 1. An acute has a measure of. 2. A right has a measure of. 3. An obtuse has a measure of. 13. Two supplementary angles are in ratio 11:7. Find the measure of each. 14. In the
GeoGebra. 10 lessons. Gerrit Stols
GeoGebra in 10 lessons Gerrit Stols Acknowledgements GeoGebra is dynamic mathematics open source (free) software for learning and teaching mathematics in schools. It was developed by Markus Hohenwarter
Cambridge Primary Mathematics Curriculum Framework (with codes)
Cambridge Primary Mathematics Curriculum Framework (with codes) Contents Introduction Stage 1...1 Stage 2...5 Stage 3...9 Stage 4...14 Stage 5...18 Stage 6...24 Note on codes Each learning objective has
Paper Reference. Ruler graduated in centimetres and millimetres, protractor, compasses, pen, HB pencil, eraser. Tracing paper may be used.
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 Monday 7 June 2010 Afternoon Time: 1 hour
Grade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra
Grade 4 Unit 3: Multiplication and Division; Number Sentences and Algebra Activity Lesson 3-1 What s My Rule? page 159) Everyday Mathematics Goal for Mathematical Practice GMP 2.2 Explain the meanings
Chapter 3.1 Angles. Geometry. Objectives: Define what an angle is. Define the parts of an angle.
Chapter 3.1 Angles Define what an angle is. Define the parts of an angle. Recall our definition for a ray. A ray is a line segment with a definite starting point and extends into infinity in only one direction.
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
4. How many integers between 2004 and 4002 are perfect squares?
5 is 0% of what number? What is the value of + 3 4 + 99 00? (alternating signs) 3 A frog is at the bottom of a well 0 feet deep It climbs up 3 feet every day, but slides back feet each night If it started
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
GAP CLOSING. 2D Measurement. Intermediate / Senior Student Book
GAP CLOSING 2D Measurement Intermediate / Senior Student Book 2-D Measurement Diagnostic...3 Areas of Parallelograms, Triangles, and Trapezoids...6 Areas of Composite Shapes...14 Circumferences and Areas
Mathematics Second Practice Test 1 Levels 4-6 Calculator not allowed
Mathematics Second Practice Test 1 Levels 4-6 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 school
Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress
Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation
Key Stage 2 Mathematics Programme of Study
Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical to a ariety of contexts and eeryday situations identify the appropriate steps and