# Q1. Here is a flag. Calculate the area of the shaded cross. Q2. The diagram shows a right-angled triangle inside a circle.

Save this PDF as:

Size: px
Start display at page:

Download "Q1. Here is a flag. Calculate the area of the shaded cross. Q2. The diagram shows a right-angled triangle inside a circle."

## Transcription

1 Q1. Here is a flag. Calculate the area of the shaded cross. 2 marks Q2. The diagram shows a right-angled triangle inside a circle. The circle has a radius of 5 centimetres. Calculate the area of the triangle. cm 2 1 mark Page 1 of 31

2 Calculate the area of the shaded part of the diagram. 2 marks Q3. This cube has a volume of 64 cubic centimetres. Calculate the height of the cube. cm 1 mark These two cubes are not drawn to scale. 1 mark The ratio of the volumes of the two cubes is 2:3 Page 2 of 31

3 Calculate the volume of the larger cube. 1 mark Q4. Ben makes a letter 'B' out of a piece of wire. It has a straight side and two equal semicircles. Each semicircle has a diameter of 15cm. Page 3 of 31

4 Calculate the total length of the wire. 2 marks Q5. The diagram shows a shaded square inside a larger square. Calculate the area of the larger square. cm 2 1 mark Page 4 of 31

5 Calculate the area of the shaded square. 2 marks Q6. This is a centimetre grid. On the grid draw a triangle which has an area of 7.5cm 2 and which has an obtuse angle. Use a ruler. 2 marks Page 5 of 31

6 Q7. The diagram shows a shaded triangle inside a larger triangle. The area of the shaded triangle is 52 cm 2. The area of the shaded triangle is of the area of the larger triangle. Calculate the area of the larger triangle. 2 marks Q8. Amit has some small cubes. The edge of each cube is 1.5 centimetres. Page 6 of 31

7 He makes a larger cube out of the small cubes. The volume of this larger cube is 216 cm 3. How many small cubes does he use? 2 marks Q9. Twelve rectangles, all the same size, are arranged to make a square, as shown in the diagram. Page 7 of 31

8 Calculate the area of one of the rectangles. 2 marks Q10. The diagram shows 4 identical shaded triangles in a rectangle. The rectangle measures 36 centimetres by 24 centimetres. Calculate the area of one shaded triangle. 2 marks Page 8 of 31

9 Q11. A cuboid has a square base. It is twice as tall as it is wide. Its volume is 250 cubic centimetres. Calculate the width of the cuboid. 2 marks Page 9 of 31

10 Q12. Here is a centimetre grid. Draw two more lines to make a quadrilateral with an area of 18cm Use a ruler. 2 1 mark Page 10 of 31

11 Q13. The diagram shows a square of side length 12 cm. Inside the square are 8 congruent trapeziums and a shaded square. The side length of the shaded square is 6 cm. What is the area of one of the trapeziums? 3 marks Page 11 of 31

12 Q14. The flag of Greenland is a rectangle with a circle drawn inside. Here is the same flag rotated. The sketch gives the information you need to draw the flag. Page 12 of 31

13 Use the correct mathematical equipment to draw accurately the flag of Greenland. Some of the flag is drawn for you. 3 marks Page 13 of 31

14 Q15. The photograph shows a crop circle that was made in Mexico. People flattened crops to make a pattern inside a circle. The photograph has been provided courtesy of Greenpeace Some people are planning to make a crop circle. Here is what they plan to do: They will make a circle of radius 30 m. They will flatten about 60% of the area of the circle. Together, they can flatten 450 m 2 in one hour. Page 14 of 31

15 About how many hours do the people plan to spend making the crop circle? You will need to use this formula: The area of a circle is (radius) 2 3 marks Q16. The grid below is made of right-angled triangles like this: Shade triangles on the grid to make a quadrilateral. Page 15 of 31

16 Your quadrilateral must have an area of 24 cm 2 and a perimeter of 26 cm. 2 marks Q17. Cleo has 24 centimetre cubes. She uses all 24 cubes to make a cuboid with dimensions 6 cm, 2 cm and 2 cm. Write the dimensions of a different cuboid she can make using all 24 cubes. cm, cm and cm 1 mark Page 16 of 31

17 Jon has 20 centimetre cubes. He wants to make a cube with edges that are 3 cm long. How many more centimetre cubes does he need? more 1 mark Q18. Here is a trapezium with a height of 10 centimetres. The parallel sides are 5.5cm long and 10.5cm long. Page 17 of 31

18 Find the area of the trapezium. 2 marks Q19. Every second, 300cm 3 of water comes out of a tap into a cuboid tank. Not actual size The base of the tank is 40cm by 40cm. Page 18 of 31

19 The height is 12cm. How many seconds does it take to fill the tank? 2 marks Page 19 of 31

20 M1. Award TWO marks for the correct answer of 1050 cm² If answer is incorrect, award ONE mark for evidence of an appropriate method, eg: OR OR Calculation need not be performed for the award of ONE mark, but the method shown must be capable of producing the correct answer. Up to 2 [2] M2. (a) 12.5 OR 12½ (b) Award TWO marks for the correct answer in the range of 66 to 66.1 inclusive OR an answer based upon values obtained in 13a. If the answer is incorrect award ONE mark for evidence of an appropriate method, eg ( ) 12.5 The calculation need not be completed for the award of the mark. 1 Up to 2 [3] M3. (a) 4 (b) Award TWO marks for the correct answer of 96. If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Calculation need not be completed for the award of the mark. 1 Up to 2 [3] Page 20 of 31

21 M4. Award TWO marks for a correct answer of 77 OR any other more accurate representation of the correct answer such as OR an answer based upon π = such as Answers may be rounded to any number of decimal places. If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg Calculation need not be completed for the award of the mark. Up to 2 [2] M5. (a) (b) Award TWO marks for a correct answer of 205 OR a number calculated from the answer given in (a), ie (answer given in (a)) 66 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 196 (4 16.5) OR (answer given in (a)) (4 16.5) OR = (Pythagoras) Calculation need not be completed for the award of the mark. Up to 2 [3] M6. Award TWO marks for any obtuse-angled triangle with an area of 7.5cm, eg 2 Page 21 of 31

22 If the answer is incorrect, award ONE mark for any triangle with an area of 7.5cm (irrespective of angles) Accept any obtuse-angled triangle with appropriate base and height each correct to within 2mm The triangle need not have vertices on the grid intersections. Accept a triangle not drawn with a ruler, provided the vertices are correctly placed. Up to 2 2 [2] M7. Award TWO marks for the correct answer of 117. If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 52 4 = 13 AND 9 13 OR = AND Calculation need not be completed for the award of the mark. Up to 2 [2] M8. Award TWO marks for the correct answer of 64 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg 216 = = 4 number of cubes = OR = number of cubes = Calculation need not be completed for the award of the mark. Up to 2 [2] Page 22 of 31

23 M9. Award TWO marks for the correct answer of 75 If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg width = (50 40) 2 length (50 5) 3 area = OR (50 40 ) 12 Calculation need not be completed for the award of the mark. Up to 2 [2] M10. Award TWO marks for the correct answer of 108cm 2 If the answer is incorrect award ONE mark for evidence of an appropriate method, eg 36 2 = = 12 area = ½ Calculation need not be completed for the award of the mark. No mark is awarded for the result of calculating only. Up to 2 [2] M11. Award TWO marks for the correct answer of 5cm If the answer is incorrect award ONE mark for evidence of an appropriate method, eg 2n n n = 250 so n n n = 125 The calculation need not be completed for the award of the 3 mark, but n n n = 125 OR n = 125 must be reached. Up to 2 [2] Page 23 of 31

24 M12. Two more lines drawn which intersect at a fourth vertex located anywhere on the dotted line shown on the diagrams below, eg OR OR Accept slight inaccuracies in drawing provided the intention is clear. [1] Page 24 of 31

25 M13. or equivalent 3 or Shows or implies a complete correct method with not more than one computational error The most common correct methods: Find the total area of the trapezia and divide by 8 eg ( ) = 94 (error) 94 8 = Do not accept squaring evaluated as 2 eg ( ) 8 = (24 12) 8 Find the dimensions of a trapezium and use the formula or component parts eg (3 + 6) (3 3) 2 or The only error is to work with 4 congruent trapezia (not 8), but correctly finds the area of one of them eg (144 36) 4 = = 9, 9 3 = 27 Do not accept for 2m, 27 seen with no method 2 or Shows or implies a correct method to find the total area of the trapezia eg ( ) seen or Show the parallel sides of the trapezium are 3(cm) and 6(cm), and the height is 3(cm) Page 25 of 31

26 eg Diagram marked correctly! Brackets omitted For 1m, condone eg, accept = U1 [3] M14. Completes the drawing according to the following conditions, with a tolerance of 3 mm in each case the circle has a diameter of 8 cm the highest point at which the circle crosses the central vertical line is 3 cm from the top of the answer box the lowest point at which the circle crosses the central vertical line is 7 cm from the bottom of the answer box or 3 Any two of the three conditions given above are correct 2 or Any one of the three conditions given above is correct Accept flag constructed upside down! Shading incorrect or omitted, or additional lines drawn Condone, provided the response is unambiguous! Compasses not used For pupils who meet one or more of the conditions without using compasses, deduct ONE mark 1 [3] Page 26 of 31

27 M U1 or Shows or implies at least two of these three steps correctly: eg: 1. A correct method for evaluating the area of the circle in which the squaring is interpreted correctly 2. A correct method for finding 60% of a quantity 3. Division by 450 Shows the value 3.7(...) or 3.8 [1, 2 and 3 but rounding omitted] Shows the value 1696.(...) or 1697 [1 and 2] π [1 and 2] [2 and 3] = (error) = 0.25(...) [2 and 3] 2827.(...) 450 [1 and 3] Do not accept Ambiguous implication for method eg, to imply 1 and 3 2 or Shows or implies one of the three steps above correctly, eg: Shows the value 2827.(...) or 2828 [1] [[1[] π [1] 60% of (error) = 113.(...) [2] = (error) = 0.2(...) [3] 1 [3] Page 27 of 31

28 M16. Shows a correct quadrilateral, eg OR 2 U1 or Shows a quadrilateral with an area of 24 cm 2 but not a perimeter of 26 cm, eg OR! Shading omitted Accept provided the quadrilateral drawn is unambiguous! Lines not ruled or accurate Accept slight inaccuracies in drawing provided the pupil's intention is clear 1 [2] Page 28 of 31

29 M17. (a) Gives three integers other than 2, 2, 6 (in any order) whose product is 24, eg: 1, 1, 24 1, 24, 1 1, 2, 12 1, 3, 8 1, 4, 6 (b) 7 2, 3, 4! Non-integer(s) used As this shows understanding of volume, condone provided the three values given have a product of 24 eg, accept 1.5, 2, [2] M18. 80! Measures 2 or Shows or implies a complete correct method, eg: ( ) ( 10 5) ( ) 10 (10 5.5) + ( 10 5) = (error) 1 [2] M or! For 2m, condone 63.99( ) (some calculator displays will show this as their final answer) 2 Shows the value (volume of the tank) Page 29 of 31

30 OR Shows or implies a complete correct method, eg: ( ) 300 = 58 (error)! For 1m, condone 63.9 as evidence of an appropriate method (calculator display incorrectly rounded) 1 [2] Page 30 of 31

31 Page 31 of 31

### Q1. The grid below is made of right-angled triangles like this: Shade triangles on the grid to make a quadrilateral.

Q1. The grid below is made of right-angled triangles like this: Shade triangles on the grid to make a quadrilateral. Your quadrilateral must have an area of 24 cm 2 and a perimeter of 26 cm. Page 1 of

### Perimeter minutes. 27 marks. Page 1 of 19

Perimeter 3-6 27 minutes 27 marks Page of 9 Q. Here is a centimetre square grid. On the grid draw a shape which has an area of 0 square centimetres. mark On the grid below draw a rectangle which has a

### Q1. Here is the start of a spiral sequence of right-angled triangles. Draw accurately the next right-angled triangle on the diagram.

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

### A factor is a whole number that. Name 6 different quadrilaterals. The radius of a circle. What is an axis or a line of symmetry in a 2-D shape?

BOND HOW TO DO 11+ MATHS MATHS FACTS CARDS 1 2 3 4 A factor is a whole number that Name 6 different quadrilaterals. The radius of a circle is What is an axis or a line of symmetry in a 2-D shape? 5 6 7

### Angles minutes. 30 marks. Page 1 of 24

Angles 3-5 32 minutes 30 marks Page of 24 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.

### Working in 2 & 3 dimensions Revision Guide

Tips for Revising Working in 2 & 3 dimensions Make sure you know what you will be tested on. The main topics are listed below. The examples show you what to do. List the topics and plan a revision timetable.

### *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles.

Students: 1. Students understand and compute volumes and areas of simple objects. *1. Derive formulas for the area of right triangles and parallelograms by comparing with the area of rectangles. Review

### 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

### Biggar High School Mathematics Department. National 4 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 4 Learning Intentions & Success Criteria: Assessing My Progress Expressions and Formulae Topic Learning Intention Success Criteria I understand this Algebra

### 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

### 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

### Number & Place Value. Addition & Subtraction. Digit Value: determine the value of each digit. determine the value of each digit

Number & Place Value Addition & Subtraction UKS2 The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils extend their understanding of the number system and place value

### KS4 Curriculum Plan Maths FOUNDATION TIER Year 9 Autumn Term 1 Unit 1: Number

KS4 Curriculum Plan Maths FOUNDATION TIER Year 9 Autumn Term 1 Unit 1: Number 1.1 Calculations 1.2 Decimal Numbers 1.3 Place Value Use priority of operations with positive and negative numbers. Simplify

### Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum.

Work sample portfolio summary WORK SAMPLE PORTFOLIO Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum. Each portfolio is an example

### AREA. AREA is the amount of surface inside a flat shape. (flat means 2 dimensional)

AREA AREA is the amount of surface inside a flat shape. (flat means 2 dimensional) Area is always measured in units 2 The most basic questions that you will see will involve calculating the area of a square

### Assessing pupils progress in mathematics at Key Stage 3. Year 9 assessment package Shape, space and measures Teacher pack

Assessing pupils progress in mathematics at Key Stage 3 Year 9 assessment package Shape, space and measures Teacher pack Year 9 Shape task: Wrap around and Prismatic Levels ( 3/ )4/5/6 Note that for classes

### Geometry Vocabulary Booklet

Geometry Vocabulary Booklet Geometry Vocabulary Word Everyday Expression Example Acute An angle less than 90 degrees. Adjacent Lying next to each other. Array Numbers, letter or shapes arranged in a rectangular

### Year 8 - Maths Autumn Term

Year 8 - Maths Autumn Term Whole Numbers and Decimals Order, add and subtract negative numbers. Recognise and use multiples and factors. Use divisibility tests. Recognise prime numbers. Find square numbers

### National 4: Expressions and Formulae

Biggar High School Mathematics Department National 4 Pupil Booklet National 4: Expressions and Formulae Learning Intention Success Criteria I can simplify algebraic expressions. I can simplify and carry

### LESSON SUMMARY. Measuring Shapes

LESSON SUMMARY CXC CSEC MATHEMATICS UNIT SIX: Measurement Lesson 11 Measuring Shapes Textbook: Mathematics, A Complete Course by Raymond Toolsie, Volume 1 (Some helpful exercises and page numbers are given

### Q1. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. 2 marks.

Q1. Lindy has 4 triangles, all the same size. She uses them to make a star. Calculate the perimeter of the star. Page 1 of 16 Q2. Liam has two rectangular tiles like this. He makes this L shape. What is

### Dyffryn School Ysgol Y Dyffryn Mathematics Faculty

Dyffryn School Ysgol Y Dyffryn Mathematics Faculty Formulae and Facts Booklet Higher Tier Number Facts Sum This means add. Difference This means take away. Product This means multiply. Share This means

### 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

### Worksheets for GCSE Mathematics. Perimeter & Area. mr-mathematics.com Maths Resources for Teachers. Shape

Worksheets for GCSE Mathematics Perimeter & Area mr-mathematics.com Maths Resources for Teachers Shape Perimeter & Area Worksheets Contents Differentiated Independent Learning Worksheets Perimeter of Shapes

### 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:

### Begin recognition in EYFS Age related expectation at Y1 (secure use of language)

For more information - http://www.mathsisfun.com/geometry Begin recognition in EYFS Age related expectation at Y1 (secure use of language) shape, flat, curved, straight, round, hollow, solid, vertexvertices

### (a) 5 square units. (b) 12 square units. (c) 5 3 square units. 3 square units. (d) 6. (e) 16 square units

1. Find the area of parallelogram ACD shown below if the measures of segments A, C, and DE are 6 units, 2 units, and 1 unit respectively and AED is a right angle. (a) 5 square units (b) 12 square units

### 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

### Line AB (no Endpoints) Ray with Endpoint A. Line Segments with Endpoints A and B. Angle is formed by TWO Rays with a common Endpoint.

Section 8 1 Lines and Angles Point is a specific location in space.. Line is a straight path (infinite number of points). Line Segment is part of a line between TWO points. Ray is part of the line that

### 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

### Grade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area. Determine the area of various shapes Circumference

1 P a g e Grade 9 Mathematics Unit 3: Shape and Space Sub Unit #1: Surface Area Lesson Topic I Can 1 Area, Perimeter, and Determine the area of various shapes Circumference Determine the perimeter of various

### Geometry Non Calculator

Geometry Non Calculator Revision Pack 35 minutes 35 marks To use alongside mymaths.co.uk and livemaths.co.uk to revise for your GCSE exam Page 1 of 14 Q1. Diagram NOT accurately drawn Work out the size

### Solutions Section J: Perimeter and Area

Solutions Section J: Perimeter and Area 1. The 6 by 10 rectangle below has semi-circles attached on each end. 6 10 a) Find the perimeter of (the distance around) the figure above. b) Find the area enclosed

### Dŵr y Felin Comprehensive School. Perimeter, Area and Volume Methodology Booklet

Dŵr y Felin Comprehensive School Perimeter, Area and Volume Methodology Booklet Perimeter, Area & Volume Perimeters, Area & Volume are key concepts within the Shape & Space aspect of Mathematics. Pupils

### ANNUAL NATIONAL ASSESSMENT 2015 GRADE 7 MATHEMATICS TEST PROVINCE DISTRICT CIRCUIT SCHOOL SURNAME NAME C C Y Y M M D D

ANNUAL NATIONAL ASSESSMENT 2015 GRADE 7 MATHEMATICS TEST MARKS: 100 TIME: 2 hours MARKS PROVINCE DISTRICT CIRCUIT SCHOOL EMIS NUMBER (9 digits) CLASS (e.g. 7A) SURNAME NAME GENDER ( ) BOY GIRL DATE OF

### GCSE Exam Questions on Volume Question 1. (AQA June 2003 Intermediate Paper 2 Calculator OK) A large carton contains 4 litres of orange juice.

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

### 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

### 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 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

### Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum.

Work sample portfolio summary WORK SAMPLE PORTFOLIO Annotated work sample portfolios are provided to support implementation of the Foundation Year 10 Australian Curriculum. Each portfolio is an example

### CONNECT: Volume, Surface Area

CONNECT: Volume, Surface Area 1. VOLUMES OF SOLIDS A solid is a three-dimensional (3D) object, that is, it has length, width and height. One of these dimensions is sometimes called thickness or depth.

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

### 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

### Foundation. Scheme of Work. Year 10 September 2016-July 2017

Foundation Scheme of Work Year 10 September 016-July 017 Foundation Tier Students will be assessed by completing two tests (topic) each Half Term. PERCENTAGES Use percentages in real-life situations VAT

### SHAPE, SPACE AND MEASURES

SHPE, SPCE ND MESURES Pupils should be taught to: Understand and use the language and notation associated with reflections, translations and rotations s outcomes, Year 7 pupils should, for example: Use,

### The Area is the width times the height: Area = w h

Geometry Handout Rectangle and Square Area of a Rectangle and Square (square has all sides equal) The Area is the width times the height: Area = w h Example: A rectangle is 6 m wide and 3 m high; what

### CONNECT: Volume, Surface Area

CONNECT: Volume, Surface Area 2. SURFACE AREAS OF SOLIDS If you need to know more about plane shapes, areas, perimeters, solids or volumes of solids, please refer to CONNECT: Areas, Perimeters 1. AREAS

### Perfume Packaging. Ch 5 1. Chapter 5: Solids and Nets. Chapter 5: Solids and Nets 279. The Charles A. Dana Center. Geometry Assessments Through

Perfume Packaging Gina would like to package her newest fragrance, Persuasive, in an eyecatching yet cost-efficient box. The Persuasive perfume bottle is in the shape of a regular hexagonal prism 10 centimeters

### 2000 Solutions Fermat Contest (Grade 11)

anadian Mathematics ompetition n activity of The entre for Education in Mathematics and omputing, University of Waterloo, Waterloo, Ontario 000 s Fermat ontest (Grade ) for The ENTRE for EDUTION in MTHEMTIS

### Time Topic What students should know Mathswatch links for revision

Time Topic What students should know Mathswatch links for revision 1.1 Pythagoras' theorem 1 Understand Pythagoras theorem. Calculate the length of the hypotenuse in a right-angled triangle. Solve problems

### Year 6 Maths Objectives

Year 6 Maths Objectives Place Value COUNTING COMPARING NUMBERS IDENTIFYING, REPRESENTING & ESTIMATING NUMBERS READING & WRITING NUMBERS UNDERSTANDING PLACE VALUE ROUNDING PROBLEM SOLVING use negative numbers

### Level 1. AfL Questions for assessing Strand Five : Understanding Shape. NC Level Objectives AfL questions from RF

AfL Questions for assessing Strand Five : Understanding Shape NC Level Objectives AfL questions from RF Level 1 I can use language such as circle or bigger to describe the shape and size of solids and

### 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

### PERIMETERS AND AREAS

PERIMETERS AND AREAS 1. PERIMETER OF POLYGONS The Perimeter of a polygon is the distance around the outside of the polygon. It is the sum of the lengths of all the sides. Examples: The perimeter of this

### Maths Toolkit Teacher s notes

Angles turtle Year 7 Identify parallel and perpendicular lines; know the sum of angles at a point, on a straight line and in a triangle; recognise vertically opposite angles. Use a ruler and protractor

### Yimin Math Centre. Year 6 Problem Solving Part 2. 2.1 Measurements... 1. 2.2 Practical Exam Questions... 8. 2.3 Quiz... 10. Page: 10 11 12 Total

Year 6 Problem Solving Part 2 Student Name: Grade: Date: Score: Table of Contents 2 Problem Solving Part 2 1 2.1 Measurements....................................... 1 2.2 Practical Exam Questions.................................

### Key Stage Two Maths Overview

Crick Primary School The lists of objectives shown are the core objectives in Mathematics for each year group and will be taught at some stage over the academic year at an appropriate level. Your child

### SHAPE, SPACE AND MEASURES

SHAPE, SPACE AND MEASURES Pupils should be taught to: Use accurately the vocabulary, notation and labelling conventions for lines, angles and shapes; distinguish between conventions, facts, definitions

### Calculate Angles on Straight Lines, at Points, in s & involving Parallel Lines iss1

alculate ngles on Straight Lines, at Points, in s & involving Parallel Lines iss1 ngles on a Straight Line dd to 180 x 44 x = 180 44 = 136 ngles at a Point dd to 360 ngles in a Triangle dd to 180 15 z

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.

PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the

### Within each area, these outcomes are broken down into more detailed step-by-step learning stages for each of the three terms.

MATHEMATICS PROGRAMME OF STUDY COVERAGE all topics are revisited several times during each academic year. Existing learning is consolidated and then built upon and extended. Listed below are the end of

### For use with Discovering Secondary Mathematics

For use with To all secondary school teachers SUB- Oxford University Press are the publishers of the following courses among many others: Test it & Fix it: KCSE Revision series Head Start English Kiswahili

### CONNECT: Areas, Perimeters

CONNECT: Areas, Perimeters 1. AREAS OF PLANE SHAPES A plane figure or shape is a two-dimensional, flat shape. Here are 3 plane shapes: All of them have two dimensions that we usually call length and width

### 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.

### 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:

### Curriculum overview for Year 1 Mathematics

Curriculum overview for Year 1 Counting forward and back from any number to 100 in ones, twos, fives and tens identifying one more and less using objects and pictures (inc number lines) using the language

### SOLID SHAPES M.K. HOME TUITION. Mathematics Revision Guides Level: GCSE Higher Tier

Mathematics Revision Guides Solid Shapes Page 1 of 19 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Higher Tier SOLID SHAPES Version: 2.1 Date: 10-11-2015 Mathematics Revision Guides Solid

### 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

### Mathsercise. Revision Practice for Target C grade GCSE Geometry

Mathsercise Revision Practice for Target grade GSE Geometry Mathsercise- ngles Work out the size of angles and y. Give reasons for your answers 5 o y ngles Work out the size of angles and y. Give reasons

### Knowing and Using Number Facts

Knowing and Using Number Facts Use knowledge of place value and Use knowledge of place value and addition and subtraction of two-digit multiplication facts to 10 10 to numbers to derive sums and derive

### WORK SCHEDULE: MATHEMATICS 2007

, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check

### THE LAWRENCE SCHOOL SANAWAR

THE LAWRENCE SCHOOL SANAWAR Syllabus for Class VII Entrance Examination: MATHEMATICS Number System (i) Knowing our Numbers: Consolidating the sense of numberness up to 5 digits, Size, estimation of numbers,

### Geometry. Geometry is the study of shapes and sizes. The next few pages will review some basic geometry facts. Enjoy the short lesson on geometry.

Geometry Introduction: We live in a world of shapes and figures. Objects around us have length, width and height. They also occupy space. On the job, many times people make decision about what they know

### CHAPTER 27 AREAS OF COMMON SHAPES

EXERCISE 113 Page 65 CHAPTER 7 AREAS OF COMMON SHAPES 1. Find the angles p and q in the diagram below: p = 180 75 = 105 (interior opposite angles of a parallelogram are equal) q = 180 105 0 = 35. Find

### 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:

### Mathematics Scheme of Work: Form

Textbook: Formula One Maths B2 Hodder and Stoughton Chapter No. First Term Revising Time Topic and Subtopic October - December Handout Notes 2 Numbers 2.1 Basic conversions: Changing from large units to

### *1. Understand the concept of a constant number like pi. Know the formula for the circumference and area of a circle.

Students: 1. Students deepen their understanding of measurement of plane and solid shapes and use this understanding to solve problems. *1. Understand the concept of a constant number like pi. Know the

### Fundamentals of Geometry

10A Page 1 10 A Fundamentals of Geometry 1. The perimeter of an object in a plane is the length of its boundary. A circle s perimeter is called its circumference. 2. The area of an object is the amount

### Texas Assessment of Knowledge and Skills (TAKS) 6th Grade

Texas Assessment of Knowledge and Skills (TAKS) 6th Grade 98 99 100 Grade 6 Mathematics TAKS Objectives and TEKS Student Expectations TAKS Objective 1 The student will demonstrate an understanding of numbers,

### Draft copy. Circles, cylinders and prisms. Circles

12 Circles, cylinders and prisms You are familiar with formulae for area and volume of some plane shapes and solids. In this chapter you will build on what you learnt in Mathematics for Common Entrance

### 6 th Grade New Mexico Math Standards

Strand 1: NUMBER AND OPERATIONS Standard: Students will understand numerical concepts and mathematical operations. 5-8 Benchmark 1: Understand numbers, ways of representing numbers, relationships among

### 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

### Year 3 End of year expectations

Number and Place Value Count in 4s, 8s, 50s and 100s from any number Read and write numbers up to 1000 in numbers and words Compare and order numbers up to 1000 Recognise the place value of each digit

### MATHEMATICS Grade 6 Standard: Number, Number Sense and Operations

Standard: Number, Number Sense and Operations Number and Number C. Develop meaning for percents including percents greater than 1. Describe what it means to find a specific percent of a number, Systems

### National Curriculum 2014 Numeracy Objectives Number Number and Place Value Year 1 Year 2 Year 3 Year 4 Year 5 Year 6

Number Number and Place Value Pupils should be taught to and backwards, beginning with 0 or 1, or from any given number 0, and in tens from any number, forward and backward 50 and 100; find 10 or 100 more

### Saturday X-tra X-Sheet: 12. Revision of Grade 12 Space and Shape Part 1 2D Shapes

Saturday X-tra X-Sheet: 12 Key Concepts Revision of Grade 12 Space and Shape Part 1 2D Shapes In this session we will focus on summarising what you need to know about: Measurement conversions of units

### St Ninian s High School. I understand this part of the course = I am unsure of this part of the course =

St Ninian s High School Mathematics Department Curriculum for Excellence TJ Book E Pupil Learning Log I understand this part of the course = I am unsure of this part of the course = I do not understand

### 2006 Geometry Form A Page 1

2006 Geometry Form Page 1 1. he hypotenuse of a right triangle is 12" long, and one of the acute angles measures 30 degrees. he length of the shorter leg must be: () 4 3 inches () 6 3 inches () 5 inches

### A = ½ x b x h or ½bh or bh. Formula Key A 2 + B 2 = C 2. Pythagorean Theorem. Perimeter. b or (b 1 / b 2 for a trapezoid) height

Formula Key b 1 base height rea b or (b 1 / b for a trapezoid) h b Perimeter diagonal P d (d 1 / d for a kite) d 1 d Perpendicular two lines form a angle. Perimeter P = total of all sides (side + side

### Identify relationships between and among linear and square metric units. area = length x width = 60 cm x 25 cm = 1500 cm 2

1 Unit Relationships Identify relationships between and among linear and square metric units. 1. Express each area in square centimetres. a) 8 m 2 80 000 cm 2 c) 3.5 m 2 35 000 cm 2 b) 12 m 2 120 000 cm

### 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

### Year 1 Maths Expectations

Times Tables I can count in 2 s, 5 s and 10 s from zero. Year 1 Maths Expectations Addition I know my number facts to 20. I can add in tens and ones using a structured number line. Subtraction I know all

### 6.1 NUMBER SENSE 3-week sequence

Year 6 6.1 NUMBER SENSE 3-week sequence Pupils can represent and explain the multiplicative nature of the number system, understanding how to multiply and divide by 10, 100 and 1000. Pupils make appropriate

### 3 rd 5 th Grade Math Core Curriculum Anna McDonald School

3 rd 5 th Grade Math Core Curriculum Anna McDonald School Our core math curriculum is only as strong and reliable as its implementation. Ensuring the goals of our curriculum are met in each classroom,

### KS3 Maths Learning Objectives (excludes Year 9 extension objectives)

KS3 Maths Learning Objectives (excludes Year 9 extension objectives) blue Year 7 black Year 8 green Year 9 NUMBER N1 Place value and standard form N1.1 Place value N1.2 Powers of ten Framework Objectives

### 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;

### Fractions Associate a fraction with division to calculate decimal fraction equivalents (e.g ) for a simple fraction (e.g. 3/8).

: Autumn 1 Numeracy Curriculum Objectives Number, Place Value and Rounding Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit. Round any whole number to a required