CARIBBEAN CORRESPONDENCE SCHOOL
|
|
- Berniece Allison
- 5 years ago
- Views:
Transcription
1 Final Examination CARIBBEAN CORRESPONDENCE SCHOOL Module Name: Groups: Duration: MATHEMATICS Online 3 Hours INSTRUCTIONS TO CANDIDATES 1. This Paper consists of THREE sections. 2. There is one question is section I, SIX questions in section II and THREE questions in section III 3. Answer ALL questions in sections I, II and III 4. Show ALL working Materials for Exam: Geometry set Graph Paper Non-Programmable electronic calculator DO NOT TURN THIS PAGE UNTIL YOU ARE TOLD TO DO SO GOOD LUCK WELCOME TO SECTION I ANSWER ALL EQUESTIONS IN THIS SECTION Question A (20 marks) Page 1 of 10
2 Carol, Nickelle, and Camrone are partners in business. They shared the start up cash in a ratio of 5: 4: 3 respectively. If Camrone s share is $100,000, what is the total start up cash for the business? I. The business bought three (3) laptops A, B, and C at a total cost of $175,000. The cost of each laptop is in a ratio of 5: 3: 2 respectively. What cost should the business sell laptop C, and laptop A, to make a profit percentage of 25%, and 35% respectively? II. If laptop B is sold for $75,000, what is the profit made on the three (3) laptops? III. Carol took $50,000 from the business and bought a table set for $25,000 plus(+) TAX. What is the total cost of the table set, if TAX rate is 16%? IV. The business had to borrow a loan of $150,000 at a rate of 16% per annum for Five (5) years. A. What is the simple interest for the first year? B. What is the simple interest for the five (5) years? C. What is the total amount paid to the financial institution? WELCOME TO SECTION II ANSWER ALL THE QUESTIONS IN THIS SECTION Page 2 of 10
3 1a 3 ( ) + 7 ( ) ( 2 6 ) 2 1b c. Using a Calculator, or otherwise find the EXACT value of i. ii d. Write the answer from part 1c i. correct to 3 decimal place ii. correct to 2 significant figures iii. In standard form 2a. Given l = 0.67, m = 0.5 and n = 0.8, evaluate i. 6l + 3.6m 4n ii. l 2 iii. (lmn) 3 2b. Write as a single fraction in its lowest terms 3(m 2n) 3l 2 4(m+n) 3pl 2 2c. The binary operation * is defined by q p = 2(qp) 2 + 2(q p) Page 3 of 10
4 Find the value of 2 6 2d. Factorize the following completely i. 4a 2 b abc + 9c 2 ii. x x + 25 iii a + a 2 3a. If the perimeter of the triangle is 12cm, find x if sides a = (4x 1)cm, b = (3x + 1)cm, and c = (x + 4)cm 3b. If the perimeter of the rectangle is 38cm and the length is (3x 1)cm and width is (x + 4)cm, find x. 3c. If the area of a circle is twice the circumference, what is the length of the diameter of the circle in cm. 3d. In circle of part 3c above, an angle of 45 is formed between two radius i. draw the figure ii. what is the name of the section bounded by the 45 and the two radius iii. find the area of that section iv. Find the length of the circumference occupied by that section. 4. U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} A = {Multiples of 2} B = {Multiples of 3} C = {Multiples of 4} a). Draw a venn diagram to represent the above data b). List the members of i. A B C ii. A B C iii. (A B) iv. (B C) v. n(a) vi. n(b) vii. n(a B C) 4b. Using a ruler a pencil and a pair of compasses, construct triangle ABC with BC = 8cm, angle ABC = 90, and angle ACB = 30 Page 4 of 10
5 i) BC is a straight line that bisect angle ABC ii) Connect and name the diagram ABCD iii) what is the length of BD 5a. The points A, B, C lies on a straight line on horizontal ground. AD is a vertical pole of height 20m. The angle of depression of B and C are 30 and 45 respectively calculate i) BD ii) CD iii) BC 5b. A ship sails from a point P on a course 060 to a point Q which is 10 miles due east of the point R. The point R is at a bearing of 330 from point P i) Draw a carefully labelled diagram to illustrate the given information ii) Calculate to 3 decimal places PQ and QR. 6. Using a scale of 2cm to represent 1unit, use the graph method to solve 3x + 2y = 1 4x y = 16 7a. A load of fuel consisting of 5 tons of coal and 2 tons of coke is bought for $40. If a load containing half this amount of coal and twice this amount of coke can be bought for $35, what is the price of 1 ton of coal and 1 ton of coke? 7b. Fifteen dollars was spent in buying 50 oranges some at $3 for each, others at $4 each How many of each kind were bought? 7c. The tens digit of a two-digit number is half the units digit. When the digits are reversed the number is increased by 27. Find the number. 7d. Two numbers are such that the greater of the two is 4 less than twice the smaller. If the greater is exactly 3 times the difference between the numbers, find the numbers. WELCOME TO SECTION III ANSWER ANY THREE EQUESTIONS IN THIS SECTION Page 5 of 10
6 8. The table below shows the results of students at University of the Caribbean to the nearest tens for a particular test. Marks Number of students Cumulative frequency a. Copy and complete the table above to show the cumulative frequency. 8b. Using a scale of 2 cm to represent 10 marks on the x-axis and 1 cm to represent 5 students on the y-axis, draw the cumulative frequency curve for the data. 8c. Use your graph drawn at 8b above to estimate (i) (ii) the median mark for the data the probability that a student get 65 or below. Draw lines on your graph to show how these estimates were obtained. 8d. y = 3 5x y = x 2 2x + 5 Draw graphs to solve the simultaneous equation, and check your answer by using any of the method listed below i. Elimination method ii. Substitution method iii. Matrix algebra 9A F Page 6 of 10
7 D A B C G C H In the diagram above, NOT DRAWN TO SCALE, ABCDF are points on the circumference of a circle, centre O. GCH is a tangent to the circle at C, < ACG = 50, < D = 80 and <CAB = 70. Calculate, giving reasons for your answer, the measurement of angle (i) (ii) (iii) (iv) < F < ACB < BCH < ABC 9b. Given that g(x) = 3x+2 2x 5 2x 1 and f(x) = 3x+5 i) Find g 1 (x) and hence find x if g(x) = 0 ii) find f 1 (x) and hence find x if f(x) = 0 10a. Determine the determinant of the Matrix A Page 7 of 10
8 What type of matrix is A? 10b. 2x + 3y = 12 3x + 2y = 13 A= Use Matrix algebra to solve the simultaneous equation. END OF TEST Formula sheet Page 8 of 10
9 Areas and Volumes Circumference Area of a circle C = 2πr Where r is the radius of the circle A = πr 2 where r is the radius of the circle Area of a sector A = θ 360 πr2 where θ is the angle of the sector, measured in degrees. Area of trapezium A = 1 (a + b)h where a and b are the lengths of the parallel 2 sides and h is the perpendicular distance between the parallel sides. Length of Arc l = θ 360 2πr where θ is the angle subtended by the arc, measured in degrees. Volume of a right pyramid V = 1 Ah where A is the area of the base and h is the perpendicular height. 3 Volume of cylinder V = πr 2 h where r is the radius of the base and h is the perpendicular height. Volume of a prism V = Ah where A is the area of a cross section and h is the perpendicular length. Area of triangle Area of = 1 bh where b is the length of the base and h is the perpendicular height 2 Area of ABC if it contains an angle C, area = 1 ab sinc 2 Area of ABC with all three lengths, Area = s(s a)(s b)(s c) where s = a+b+c 2 Sine rule Cosine rule a = b = c sina sinb sinc a 2 = b 2 + c 2 2bc cosa Page 9 of 10
10 Pythagoras s theorem a 2 = b 2 + c 2 Trigonometric ratios sin θ = cos θ = tan θ = opposite side Hypotenuse adjacent side hypotenuse opposite side adjacent side Solution for x in quadratic equations ax 2 + bx + c = 0, Then x = b± b2 4ac 2a Page 10 of 10
MATHEMATICS FOR ENGINEERING TRIGONOMETRY
MATHEMATICS FOR ENGINEERING TRIGONOMETRY TUTORIAL SOME MORE RULES OF TRIGONOMETRY This is the one of a series of basic tutorials in mathematics aimed at beginners or anyone wanting to refresh themselves
More informationFURTHER MATHS. WELCOME TO A Level FURTHER MATHEMATICS AT CARDINAL NEWMAN CATHOLIC SCHOOL
FURTHER MATHS WELCOME TO A Level FURTHER MATHEMATICS AT CARDINAL NEWMAN CATHOLIC SCHOOL This two-year Edexcel Pearson syllabus is intended for high ability candidates who have achieved, or are likely to
More informationGeneral Certificate of Secondary Education Higher Tier November Time allowed 1 hour 30 minutes
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark Mathematics General Certificate of Secondary Education Higher Tier November 2014
More informationMATHEMATICS (SYLLABUS D) 4024/02
CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02 Paper 2 Additional Materials: Answer Booklet/Paper Electronic calculator Geometrical
More informationAQA GCSE Further Maths Topic Areas
AQA GCSE Further Maths Topic Areas This document covers all the specific areas of the AQA GCSE Further Maths course, your job is to review all the topic areas, answering the questions if you feel you need
More informationMaths Year 11 Mock Revision list
Maths Year 11 Mock Revision list F = Foundation Tier = Foundation and igher Tier = igher Tier Number Tier Topic know and use the word integer and the equality and inequality symbols use fractions, decimals
More informationPaper 2 and Paper 3 Predictions
Paper 2 and Paper 3 Predictions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You will need a calculator Guidance 1. Read each question carefully before you begin answering
More informationExtended Mathematics for Cambridge IGCSE by David Rayner. Chapter 1. Identify and use rational and irrational numbers, real numbers.
Schemes of Work Overview Structure There are two separate schemes of work laid out in the following units, one for students following the Core Curriculum and one for students following the Extended Curriculum.
More information11 cm. A rectangular container is 12 cm long, 11 cm wide and 10 cm high. The container is filled with water to a depth of 8 cm.
Diagram NOT accurately drawn 10 cm 11 cm 12 cm 3.5 cm A rectangular container is 12 cm long, 11 cm wide and 10 cm high. The container is filled with water to a depth of 8 cm. A metal sphere of radius 3.5
More informationPerimeter. Area. Surface Area. Volume. Circle (circumference) C = 2πr. Square. Rectangle. Triangle. Rectangle/Parallelogram A = bh
Perimeter Circle (circumference) C = 2πr Square P = 4s Rectangle P = 2b + 2h Area Circle A = πr Triangle A = bh Rectangle/Parallelogram A = bh Rhombus/Kite A = d d Trapezoid A = b + b h A area a apothem
More informationG r a d e 1 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 2 0 S )
G r a d e 0 I n t r o d u c t i o n t o A p p l i e d a n d P r e - C a l c u l u s M a t h e m a t i c s ( 0 S ) Midterm Practice Exam Answer Key G r a d e 0 I n t r o d u c t i o n t o A p p l i e d
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level MATHEMATICS (SYLLABUS D) 4024/02 Paper 2 Additional Materials: Answer Booklet/Paper Electronic calculator
More informationYEAR 11 GCSE MATHS REVISION CHECKLIST FOUNDATION TIER TOPICS ARE CATEGORISED VIA MATHS STRANDS NUMBER TOPICS
YEAR 11 GCSE MATHS REVISION CHECKLIST FOUNDATION TIER TOPICS ARE CATEGORISED VIA MATHS STRANDS NUMBER TOPICS 1 Number Grade 1 to 4 1.1 Calculations Use priority of operations with positive and negative
More informationTime Topic What students should know Mathswatch links for revision Number problems and reasoning
. Number problems and reasoning Work out the total number of ways of performing a series of tasks.. Place value and estimating Estimate an answer. Use place value to answer questions. 9 - Using Place Value
More informationTo be a grade 1 I need to
To be a grade 1 I need to Order positive and negative integers Understand addition and subtraction of whole numbers and decimals Apply the four operations in correct order to integers and proper fractions
More informationKS4 Curriculum Plan Maths HIGHER TIER Year 9 Autumn Term 1 Unit 1: Number
KS4 Curriculum Plan Maths HIGHER TIER Year 9 Autumn Term 1 Unit 1: Number 1.1 Number problems and reasoning 1.2 Place value and estimating 1.3 HCF and LCM 1.4 Calculating with powers (indices) 1.5 Zero,
More informationScheme of Work Form 4 (Scheme A)
Scheme of Work Form 4 (Scheme A) Topic A revision of number work Directed Numbers Content Factors and Multiples Expressing a number as a product of prime factors LCM and HCF Objectives - Core and Paper
More informationWhole Numbers and Integers. Angles and Bearings
Whole Numbers and Integers Multiply two 2-digit whole numbers without a calculator Know the meaning of square number Add and subtract two integers without a calculator Multiply an integer by a single digit
More informationGCSE Mathematics. Higher Tier. Paper 4G (Calculator) Time: 1 hour and 45 minutes. For Edexcel. Name
For Edexcel Name GCSE Mathematics Paper 4G (Calculator) Higher Tier Time: 1 hour and 45 minutes Materials required Ruler, protractor, compasses, pen, pencil, eraser. Tracing paper may be used. Instructions
More informationAlcester Academy Curriculum Planning: Key Stage 4
Department: Maths Year Group: 10 Foundation Term Topic/ subject Assessment Objectives And Knowledge Autumn 1 (7 weeks) The averages Calculate mean, median, mode and range, including from a frequency table.
More informationRevision Checklist for IGCSE Mathematics A guide for Students
Revision list for IGCSE Mathematics 0580 A guide for Students Revision list for IGCSE Mathematics 0580 A guide for students How to use this guide This guide describes what you need to know about your IGCSE
More informationUnit 3 Higher topic list
This is a comprehensive list of the topics to be studied for the Edexcel unit 3 modular exam. Beside the topics listed are the relevant tasks on www.mymaths.co.uk that students can use to practice. Logon
More informationGCSE LINKED PAIR PILOT 4364/02 METHODS IN MATHEMATICS UNIT 2: Methods (Calculator) HIGHER TIER
Surname Other Names Centre Number 0 Candidate Number GCSE LINKED PAIR PILOT 4364/02 METHODS IN MATHEMATICS UNIT 2: Methods (Calculator) HIGHER TIER A.M. MONDAY, 17 June 2013 2 hours ADDITIONAL MATERIALS
More informationTUESDAY, 8 NOVEMBER 2016 MORNING 1 hour 45 minutes
Surname Centre Number Candidate Number Other Names 0 GCSE NEW 3300U50- A6-3300U50- MATHEMATICS UNIT : NON-CALCULATOR HIGHER TIER TUESDAY, 8 NOVEMBER 206 MORNING hour 45 minutes For s use ADDITIONAL MATERIALS
More informationUse of Number Maths Statement Code no: 1 Student: Class: At Junior Certificate level the student can: Apply the knowledge and skills necessary to perf
Use of Number Statement Code no: 1 Apply the knowledge and skills necessary to perform mathematical calculations 1 Recognise simple fractions, for example 1 /4, 1 /2, 3 /4 shown in picture or numerical
More informationGeometry B. The University of Texas at Austin Continuing & Innovative Education K 16 Education Center 1
Geometry B Credit By Exam This Credit By Exam can help you prepare for the exam by giving you an idea of what you need to study, review, and learn. To succeed, you should be thoroughly familiar with the
More informationYEAR 11 GCSE MATHS REVISION CHECKLIST HIGHER TIER
YEAR 11 GCSE MATHS REVISION CHECKLIST HIGHER TIER TOPICS ARE CATEGORISED VIA MATHS STRANDS NUMBER TOPICS 1 Number Grade 3 to 9 J K L 1.1 Number problems and Work out the total number of ways of performing
More informationTOPIC LIST GCSE MATHEMATICS HIGHER TIER (Bold HIGHER TIER ONLY) Number Topic Red Amber Green
TOPIC LIST GCSE MATHEMATICS HIGHER TIER (Bold HIGHER TIER ONLY) Number Order whole, decimal, fraction and negative numbers Use the symbols =,, Add, subtract, multiply, divide whole numbers using written
More informationSyllabus Form 3. Objectives Students will be able to: Mathematics Department. Revision of numbers. Form 3 Syllabus Page 1 of 7
Syllabus Form 3 Topic Revision of numbers Content 1. Rounding 2. Estimation 3. Directed numbers 4. Working with decimals 5. Changing fractions to 6. decimals and vice versa 7. 7.1. The reciprocal of a
More informationCARIBBEAN EXAMINATIONS COUNCIL SECONDARY EDUCATION CERTIFICATE EXAMINATION MATHEMATICS Paper 02 - General Proficiency. ( 05 JANUARY 2010 (a.m.
CARIBBEAN EXAMINATIONS COUNCIL SECONDARY EDUCATION CERTIFICATE EXAMINATION MATHEMATICS Paper 02 - General Proficiency ( 05 JANUARY 2010 (a.m.») Electronic calculator (non-programmable) Geometry set Mathematical
More informationGeneral Certificate of Secondary Education Higher Tier June 2014
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Examiner s Initials Pages Mark Mathematics General Certificate of Secondary Education Higher Tier June 2014 43603H
More informationMathematics. Geometry Revision Notes for Higher Tier
Mathematics Geometry Revision Notes for Higher Tier Thomas Whitham Sixth Form S J Cooper Pythagoras Theorem Right-angled trigonometry Trigonometry for the general triangle rea & Perimeter Volume of Prisms,
More informationInt 2 Checklist (Unit 1) Int 2 Checklist (Unit 1) Percentages
Percentages Know that appreciation means an increase in value and depreciation means a decrease in value Calculate simple interest over 1 year Calculate simple interest over a certain number of months
More information- number of elements - complement linear, simple quadratic and cubic sequences - exponential sequences and - simple combinations of these
IGCSE Mathematics Revision checklist 2016. Syllabus 1 Numbers, set notation and language 1 Identify and use: - natural s - prime s - square s - common factors (HCF) - common multiples (LCM) - rational
More informationTOPIC LIST GCSE MATHEMATICS FOUNDATION TIER. Number Topic Red Amber Green
TOPIC LIST GCSE MATHEMATICS FOUNDATION TIER Number Order whole, decimal, fraction and negative numbers Use the symbols =,, Add, subtract, multiply, divide whole numbers using written and mental methods
More informationCambridge IGCSE mapping
Cambridge IGCSE mapping Specification point Boardworks presentation 1. Number, set notation and language Identify and use natural numbers, integers (positive, negative and zero), prime numbers, square
More informationO NOW I GET IT EXAMINATION
O NOW I GET IT EXAMINATION MATHEMATICS Paper 02 General Proficiency 2 hours 40 minutes INSTRUCTIONS TO CANDIDATES 1. Answer ALL questions in Section I, and any TWO in section II. 2. Begin the answer for
More informationP1 REVISION EXERCISE: 1
P1 REVISION EXERCISE: 1 1. Solve the simultaneous equations: x + y = x +y = 11. For what values of p does the equation px +4x +(p 3) = 0 have equal roots? 3. Solve the equation 3 x 1 =7. Give your answer
More informationShortcuts, Formulas & Tips
& present Shortcuts, Formulas & Tips For MBA, Banking, Civil Services & Other Entrance Examinations Vol. 3: Geometry Lines and Angles Sum of the angles in a straight line is 180 Vertically opposite angles
More informationParallel Lines Investigation
Year 9 - The Maths Knowledge Autumn 1 (x, y) Along the corridor, up the stairs (3,1) x = 3 Gradient (-5,-2) (0,0) y-intercept Vertical lines are always x = y = 6 Horizontal lines are always y = Parallel
More informationUNIT 4 MODULE 2: Geometry and Trigonometry
Year 12 Further Mathematics UNIT 4 MODULE 2: Geometry and Trigonometry CHAPTER 8 - TRIGONOMETRY This module covers the application of geometric and trigonometric knowledge and techniques to various two-
More information9-1 GCSE Maths. GCSE Mathematics has a Foundation tier (Grades 1 5) and a Higher tier (Grades 4 9).
9-1 GCSE Maths GCSE Mathematics has a Foundation tier (Grades 1 5) and a Higher tier (Grades 4 9). In each tier, there are three exams taken at the end of Year 11. Any topic may be assessed on each of
More informationBOARD PAPER - MARCH 2014
BOARD PAPER - MARCH 2014 Time : 2 Hours Marks : 40 Notes : (i) Solve all questions. Draw diagrams wherever necessary. Use of calculator is not allowed. Figures to the right indicate full marks. Marks of
More informationGeometry and Measures
Geometry and Measures Midpoint of a line segment What are the coordinates of the midpoint of this line? Add the coordinates Halve them (6, 7) (2, 3) (8, 10) (4,5) + ½ (2,3) (6,7) Area of 2D shapes Triangle
More informationGCSE Maths: Formulae you ll need to know not
GCSE Maths: Formulae you ll need to know As provided by AQA, these are the formulae required for the new GCSE These will not be given in the exam, so you will need to recall as well as use these formulae.
More informationMathematics Year 9-11 Skills and Knowledge Checklist. Name: Class: Set : Premier Date Year 9 MEG :
Personal targets to help me achieve my grade : AFL Sheet Number 1 : Standard Form, Decimals, Fractions and Percentages Standard Form I can write a number as a product of it s prime factors I can use the
More informationFoundation tier knowledge, skills and understanding
Foundation tier knowledge, skills and understanding 1. Number Structure and calculation N1 N2 N3 N4 N5 N6 N7 N8 order positive and negative integers, decimals and fractions; use the symbols =,, ,,
More informationMAHESH TUTORIALS I.C.S.E.
MAHESH TUTORIALS I.C.S.E. GRADE - X (2017-2018) Exam No. : MT/ICSE/SEMI PRELIM - I - SET - B 005 Value Added Tax, Banking, Shares and Dividend, Matrices, Reflection, Section and Mid-Point Formula, Equation
More informationSummary Of Topics covered in Year 7. Topic All pupils should Most pupils should Some pupils should Learn formal methods for
Summary Of Topics covered in Year 7 Topic All pupils should Most pupils should Some pupils should Learn formal methods for Have a understanding of computing multiplication Use the order of basic number
More informationPARRENTHORN HIGH SCHOOL Mathematics Department. YEAR 11 GCSE PREPARATION Revision Booklet
PARRENTHORN HIGH SCHOOL Mathematics Department YEAR GCSE PREPARATION Revision Booklet Name: _ Class: Teacher: GEOMETRY & MEASURES Area, Perimeter, Volume & Circles AREA FORMULAS Area is the space a 2D
More informationSupporting planning for shape, space and measures in Key Stage 4: objectives and key indicators
1 of 7 Supporting planning for shape, space and measures in Key Stage 4: objectives and key indicators This document provides objectives to support planning for shape, space and measures in Key Stage 4.
More informationMathematics Year 9-11 Skills and Knowledge Checklist. Name: Class: Set : 1 Date Year 9 MEG :
Personal targets to help me achieve my grade : AFL Sheet Number 1 : Standard Form, Decimals, Fractions and Percentages Standard Form I can write a number as a product of it s prime factors I can use the
More informationA. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: REVIEW FOR FINAL EXAM - GEOMETRY 2 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C.
More informationSecond Semester Exam Review Packet
Geometry Name Second Semester Exam Review Packet CHAPTER 7 THE PYTHAGOREAN THEOREM. This theorem is used to find the lengths of the sides of a right triangle. Label the parts of the right triangle. What
More informationChislehurst and Sidcup Grammar School Mathematics Department Year 9 Programme of Study
Chislehurst and Sidcup Grammar School Mathematics Department Year 9 Programme of Study Timings Topics Autumn Term - 1 st half (7 weeks - 21 lessons) 1. Algebra 1: Expressions, Formulae, Equations and Inequalities
More informationMoore Catholic High School Math Department
Moore Catholic High School Math Department Geometry Vocabulary The following is a list of terms and properties which are necessary for success in a Geometry class. You will be tested on these terms during
More informationCurriculum Area: mathematics Year: 10 Higher. Aspire Learn Achieve. 1 Number All students have access to:
Topics Year Curriculum 1 Number All students have access to: How you can support your child s learning at home E.g. Books, Websites, Family learning through visits 1.1 Number problems and reasoning Work
More informationAQA GCSE Maths - Higher Self-Assessment Checklist
AQA GCSE Maths - Higher Self-Assessment Checklist Number 1 Use place value when calculating with decimals. 1 Order positive and negative integers and decimals using the symbols =,, , and. 1 Round to
More informationForm 4 Syllabus Scheme B
Topic A revision of number work A revision of number work Indices Expressions: Expanding and Factorisation Form 4 Syllabus Scheme B Content 1. Directed Numbers 2. Factors and Multiples 3. Expressing a
More informationGEOMETRY SUMMER 2016 PRACTICE FINAL EXAM
GEOMETRY SUMMER 2016 PRACTICE FINAL EXAM Name: Instructions: 1. Show all work on the test itself for every problem. Partial credit is better than no credit. 2. Instructions have been provided for each
More informationGCSE 4353/02 MATHEMATICS (UNITISED SCHEME) UNIT 3: Calculator-Allowed Mathematics HIGHER TIER
Surname Centre Number Candidate Number Other Names 0 GCSE 4353/02 MATHEMATICS (UNITISED SCHEME) UNIT 3: Calculator-Allowed Mathematics HIGHER TIER A.M. MONDAY, 11 November 2013 1 hour 45 minutes For s
More informationDepartment of Mathematics
Department of Mathematics TIME: 3 Hours Setter: DAS DATE: 07 August 2017 GRADE 12 PRELIM EXAMINATION MATHEMATICS: PAPER II Total marks: 150 Moderator: GP Name of student: PLEASE READ THE FOLLOWING INSTRUCTIONS
More informationHigher tier knowledge, skills and understanding
Higher tier knowledge, skills and understanding 1. Number Structure and calculation N1 N2 N3 N4 N5 N6 N7 order positive and negative integers, decimals and fractions; use the symbols =,, ,, apply the
More informationProperties of a Circle Diagram Source:
Properties of a Circle Diagram Source: http://www.ricksmath.com/circles.html Definitions: Circumference (c): The perimeter of a circle is called its circumference Diameter (d): Any straight line drawn
More informationName: Teacher: Form: LEARNER JOURNAL. Set: Mathematics. Module 7 END OF YEAR TARGET: GCSE TARGET:
Name: Teacher: Form: Set: LEARNER JOURNAL Mathematics Module 7 END OF YEAR TARGET: GCSE TARGET: MODULE 7 Unit 7A - Graphs Use areas of rectangles, triangles and trapeziums to estimate the area under a
More informationCLEP Pre-Calculus. Section 1: Time 30 Minutes 50 Questions. 1. According to the tables for f(x) and g(x) below, what is the value of [f + g]( 1)?
CLEP Pre-Calculus Section : Time 0 Minutes 50 Questions For each question below, choose the best answer from the choices given. An online graphing calculator (non-cas) is allowed to be used for this section..
More informationChapter 4: Triangle and Trigonometry
Chapter 4: Triangle and Trigonometry Paper 1 & 2B 3.1.3 Triangles 3.1.3 Triangles 2A Understand a proof of Pythagoras Theorem. Understand the converse of Pythagoras Theorem. Use Pythagoras Trigonometry
More information1-2 9 Measures and accuracy
Year Term Week Chapter Ref Lesson 9.1 Estimation and approximation Year 2 m Autumn Term 1-2 9 Measures and accuracy 3-4 (Number) 9.2 Calculator methods 9.3 Measures and accuracy Assessment 9 10.1 Solving
More informationBramhall high school Year 9 Assessment descriptor Mathematics
Grade Description Exceeding Calculate with fractional powers. Calculate exactly with surds. 8/9 Establish the exact values of sinθ and cosθ for θ = 0, 30, 45, 60 and 90, the exact value of tanθ for θ =
More informationSuggested Foundation Topics for Paper 2
Suggested Foundation Topics for Paper 2 Number N a N b N b N c N d Add, subtract, multiply and divide any positive and negative integers Order decimals and integers Order rational numbers Use the concepts
More informationBirkdale High School - Higher Scheme of Work
Birkdale High School - Higher Scheme of Work Module 1 - Integers and Decimals Understand and order integers (assumed) Use brackets and hierarchy of operations (BODMAS) Add, subtract, multiply and divide
More information1 to 5 NUMBER Numbers and Operations Place Value, Rounding and Estimation Understanding Products ALGEBRA Expressions and Formulae
Numbers and Operations Four operations and numbers Inverse operations Fractions as Operators Fractions and Terminating decimals Place Value, Rounding and Estimation Ordering decimals Rounding Estimation
More informationUnit: 1: Number version 1 Key Stage 4 Foundation
Unit: 1: Number version 1 Key Stage 4 Foundation Aims of the Unit: Assessment Objectives covered Assessment Use priority of operations with positive and negative numbers. Simplify calculations by cancelling.
More informationSolve 3-D problems using Pythagoras theorem and trigonometric ratios (A*) Solve more complex 2-D problems using Pythagoras theorem & trigonometry (A)
Moving from A to A* Solve 3-D problems using Pythagoras theorem and trigonometric ratios (A*) A* Use the sine & cosine rules to solve more complex problems involving non right-angled triangles (A*) Find
More informationMathematics Year 9-11 Skills and Knowledge Checklist. Name: Class: Set : 4 Date Year 9 MEG :
Personal targets to help me achieve my grade : AFL Sheet Number 1 : Integers, Decimals, Fractions Integers I can multiply single digit numbers (know my times tables) I can multiply and divide by a power
More informationMathematics Department Inverclyde Academy
Common Factors I can gather like terms together correctly. I can substitute letters for values and evaluate expressions. I can multiply a bracket by a number. I can use common factor to factorise a sum
More informationAngles. An angle is: the union of two rays having a common vertex.
Angles An angle is: the union of two rays having a common vertex. Angles can be measured in both degrees and radians. A circle of 360 in radian measure is equal to 2π radians. If you draw a circle with
More informationGCSE 4351/02 MATHEMATICS (UNITISED SCHEME) UNIT 1: Mathematics in Everyday Life HIGHER TIER
Surname Centre Number Candidate Number Other Names 0 GCSE 4351/02 MATHEMATICS (UNITISED SCHEME) UNIT 1: Mathematics in Everyday Life HIGHER TIER A.M. THURSDAY, 26 May 2016 1 hour 15 minutes S16-4351-02
More informationAutumn Autumn 2 1. Spring 1 1
YEAR 10 HIGHER : Term Week Autumn 1 1 7 Autumn 1 7 Spring 1 1 Spring 1 Summer 1 1 Summer 1 : 017-18 YEAR 10: 017-18 Basic Number Baseline testing Basic Number Fractions, ratios and proportions Fractions,
More informationGCSE Higher Revision List
GCSE Higher Revision List Level 8/9 Topics I can work with exponential growth and decay on the calculator. I can convert a recurring decimal to a fraction. I can simplify expressions involving powers or
More informationSection T Similar and congruent shapes
Section T Similar and congruent shapes Two shapes are similar if one is an enlargement of the other (even if it is in a different position and orientation). There is a constant scale factor of enlargement
More informationPaper Reference (complete below) Mathematics A Tuesday 10 June 2003 Morning Time: 2 hours
Centre No. Candidate No. Paper Reference (complete below) 5 5 0 6 0 6 Surname Signature Initial(s) Examiner s use only Paper Reference(s) 5506/06 Edexcel GCSE Mathematics A 1387 Paper 6 (Calculator) Higher
More informationExamination Duration Date
Hillel Academy High School Grade 9 Mathematics End of Year Study Guide September2013- June 2014 Examination Duration Date The exam consists of 2 papers: Paper 1: Short Response Calculator Paper 2:Structured
More informationMATHEMATICS. (Two hours and a half) Answers to this Paper must be written on the paper provided separately.
MATHEMATICS (Two hours and a half) Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading
More informationReview of Sine, Cosine, and Tangent for Right Triangle
Review of Sine, Cosine, and Tangent for Right Triangle In trigonometry problems, all vertices (corners or angles) of the triangle are labeled with capital letters. The right angle is usually labeled C.
More informationMaths Module 4: Geometry. Student s Book
Maths Module 4: Geometry Student s Book Maths Module 4: Geometry and Trigonometry Contents 1. Shapes - Page 2 - Angles - Triangles - Quadrilaterals - Congruence - Similar shapes 2. Constructions - Page
More informationEdexcel Linear GCSE Higher Checklist
Number Add, subtract, multiply and divide whole numbers integers and decimals Multiply and divide fractions Order integers and decimals Order rational numbers Use the concepts and vocabulary of factor
More informationYear 10 Scheme of work
Year 10 Scheme of work Guidelines The purpose of this scheme of work is to build pupils towards an old style GCSE exam at the end of year 10 (see headings of different tiers on SOW). Pupils will be assessed
More informationMADANI BOYS SCHOOL GCSE Maths Scheme of Work for Higher sets. OVERVIEW for Higher sets
OVERVIEW for Higher sets Chapter Teaching hours Grades UNIT 1: Statistics and Number 1. Data collection 4 D, C, A, Modular topics The data handling cycle, Gathering information, Types of data, Grouped
More informationUNIT 3 CIRCLES AND VOLUME Lesson 5: Explaining and Applying Area and Volume Formulas Instruction
Prerequisite Skills This lesson requires the use of the following skills: using formulas for the surface areas of polygons and circles performing calculations with the angles in circles using the Pythagorean
More informationYear 10 Term 3 Homework
Yimin Math Centre Year 10 Term 3 Homework Student Name: Grade: Date: Score: Table of contents 3 Year 10 Term 3 Week 3 Homework 1 3.1 Further trigonometry................................... 1 3.1.1 Trigonometric
More information4. The following diagram shows the triangle AOP, where OP = 2 cm, AP = 4 cm and AO = 3 cm.
Circular Functions and Trig - Practice Problems (to 07) 1. In the triangle PQR, PR = 5 cm, QR = 4 cm and PQ = 6 cm. Calculate (a) the size of ; (b) the area of triangle PQR. 2. The following diagram shows
More information2.0 Trigonometry Review Date: Pythagorean Theorem: where c is always the.
2.0 Trigonometry Review Date: Key Ideas: The three angles in a triangle sum to. Pythagorean Theorem: where c is always the. In trigonometry problems, all vertices (corners or angles) of the triangle are
More informationGeneral Certificate of Secondary Education Higher Tier
Centre Number Surname Candidate Number For Examiner s Use Other Names Candidate Signature Pages 3 Mark General Certificate of Secondary Education Higher Tier 4 5 6 7 Mathematics (Linear) B Paper 1 Non-calculator
More informationMathematics Curriculum
Mathematics Curriculum Pathway A Pupils who enter St Hilda s with a scaled score of approximately 110 or above from KS2, begin working on the Year 8 curriculum (approximately GCSE grades 3 and 4). These
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education CANDIDATE NAME CENTRE NUMBER CANDIDATE NUMBER * 4 0 0 9 8 4 * MATHEMATICS 0580/4 Paper 4 (Extended)
More informationDyffryn School Ysgol Y Dyffryn Mathematics Faculty. Intermediate Course Content
Dyffryn School Ysgol Y Dyffryn Mathematics Faculty Intermediate Course Content 1. Number. 4 rules Multiplying/dividing by multiples of 10 Factors, multiples, primes 4 rules of negative numbers Order directed
More informationCBSE X Mathematics 2012 Solution (SET 1) Section C
CBSE X Mathematics 01 Solution (SET 1) Q19. Solve for x : 4x 4ax + (a b ) = 0 Section C The given quadratic equation is x ax a b 4x 4ax a b 0 4x 4ax a b a b 0 4 4 0. 4 x [ a a b b] x ( a b)( a b) 0 4x
More informationConfidence Level Red Amber Green
Maths Topic Foundation/ 1 Place Value 2 Ordering Integers 3 Ordering Decimals 4 Reading Scales 5 Simple Mathematical Notation 6a Interpreting Real-Life Tables Time 6b Interpreting Real-Life Tables Timetables
More informationSTANDARDS FOR SECONDARY EDUCATION. mathematics
STANDARDS FOR SECONDARY EDUCATION mathematics Quality Assurance and Development Services Ministry of Education, Youth and Sports 2004 MATHEMATICS Content Standard No. 1 Understand thoroughly the classification
More information