# BCTS's Shop

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I am a professional tutor in Australia and I sell secondary school resources in STEM subjects.

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I am a professional tutor in Australia and I sell secondary school resources in STEM subjects.

#### Introduction to Trigonometric Ratios, Yr 9, with Answers

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An introductory trigonometry worksheet covering: Labelling right-angled triangles (O,H,A) Labelling right-angled triangles (A,B,C,a,b,c) Sin, cos, tan notation Similar triangles (ratio use) Calculating approximations (sin, cos, tan, angles) There are 11 question sets. Answers are included for every question. Suitable for Stage 5 mathematics students (NSW), doing the 5.1 coursework.

#### Classifying Data and Sampling Match Up

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A simple matching activity of the different types of data and sampling seen in the NSW Mathematics Standards course, and their descriptions or examples of each type. Suitable for Stage 6 Mathematics (NSW).

#### Graphing Trigonometry

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A worksheet on graphing sin, cos and tan graphs, including pointing out the amplitudes and periods of each. There are 30 questions. Answers are included for every question. Suitable for Stage 6 mathematics students (NSW).

#### Colour In Congruent Triangle Tests

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Definitions written for the following congruent triangle tests: ASA SSS SAS RHS Each covers half a page and can be printed and then coloured-in.

#### Negative Numbers and Like Terms Worksheet Yr 8

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This is a worksheet filled with 25 questions (and their worked answers) on like terms and negative numbers appropriate for yr 8 students in NSW following the syllabus in 2018 (the Mathematics K-12 Syllabus 2012). The syllabus dot points covered in this worksheet are as follows: Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151) Compare, order, add and subtract integers (ACMNA280) recognise and describe the ‘direction’ and ‘magnitude’ of integers Extend and apply the laws and properties of arithmetic to algebraic terms and expressions (ACMNA177) recognise like terms and add and subtract them to simplify algebraic expressions, e.g. connect algebra with the commutative and associative properties of arithmetic to determine that and   (Communicating)

#### Data Worksheet Year 10

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This is a 7 question worksheet on mean, median and mode suitable for year 10 students studing data. This worksheet covers data sets, stem and leaf plots, histograms and box plots.

#### Simple Interest, Compound Interest & Tax Worksheet with Answers

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Specific to the NSW syllabus in Australia (and the Australian tax rates), this is a worksheet (with answers) on financial mathematics, suitable for students in stage 5 (yrs 9 and 10). There are 19 questions on: Simple Interest (I=PRN) Compound Interest (A=P(1+R)^n) Taxable income, deductions &amp; tax rates

#### Algebraic Equations Worksheet Year 10

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This is a mathematics worksheet with worked answers for a yr 10 (stage 5) student studying algebra and equations. There are 15 algebraic equations to solve and 5 worded questions to interpret and solve. Worked answers are provided at the back. This worksheet covers the following NSW syllabus dot points for 2018: 5.2 Equations: Solve linear equations, including equations that have grouping symbols. Solve linear equations involving one or more simple algebraic fractions. Solve problems involving linear equations, including those derived from formulas. Translate word problems into equations, solve the equations and interpret the solutions.

#### Algebra Revision 12Q Worksheet Yr10

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This is a 12-question worksheet coving the topic of algebra (including simplifying fractions, factorising quadratics and expanding), appropriate for a student in Yr 10. This worksheet covers the following Stage 5 (yr 9 and 10) NSW Syllabus dot points for 2018: 5.2 Algebraic Techniques: Apply the four operations to algebraic fractions with pronumerals in the denominator Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate Factorise quadratic trinomial expressions

#### Le Chatelier's Principle in pictures

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This is a pictorial information sheet to help show the effect Le Chatelier’s principle has on equilibrium with temperature, concentration and pressure. For the current HSC syllabus, this is relevant for the second module: The Acidic Environment; and relates specifically to the following syllabus dot point: Define Le Chatelier’s principle Identify which factors can affect equilibrium in a reversible reaction

#### Algebraic Fractions Yr 9 or 10

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This is a 12 question worksheet on algebraic fractions (with variables in the denominator, the numerator or both) for students in year 9 or 10 studying algebra. This worksheet covers the 2018 NSW Stage 5 Syllabus dot points: 5.2 Algebraic Techniques: Apply the four operations to simple algebraic fractions with numerical denominators; simplify expressions that involve algebraic fractions with numerical denominators Apply the four operations to algebraic fractions with pronumerals in the denominator; simplify expressions that involve algebraic fractions, including algebraic fractions that involve pronumerals in the denominator and/or indices.

#### Algebra for Year 9/10

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Here are 5 of my algebra for Stage five (year 9 or 10) worksheets, both questions and answers. Each sheet should take a student between half an hour to an hour (approximately). Great for revision, tutoring or homework, theses worksheets cover the topics of algebraic terms, fractions and expressions as well as indices.

#### Trigonometry - Exact Values and Identities

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This is a trigonometry worksheet with 40 questions suitable for a yr 11 or 12 student studying trigonometry in their maths unit. This worksheet covers exact values, both radians and degrees, and the use of the following trigonomteric identities: sin(x)=O/H cos(x)=A/H tan(x)=O/A tan(x)=sin(x)/cos(x) cot(x)=cos(x)/sin(x) sin^2(x)+cos^2(x)=1

#### Year 11 Earning and Managing Money

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This is a single worksheet for yr 11 students studying the Standard Mathematics course in 2019 There are twenty questions dealing with the FINANCIAL MATHEMATICS (MS-F1 unit in the new Mathematics Standard Stage 6 Syllabus) subtopics of: F1.2: Earning and Managing Money Government allowances Commissions, piecework and royalties Worked answers for all questions are included.

#### Yr 8 Pythagoras Theorem Worksheet with Answers

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This is a one page worksheet of 12 major questions to highlight the concept of Pythagoras Theorem. This worksheet is perfect for yr 8 students. Worked answers are provided.

#### Yr 7 MULTIPLYING DECIMALS Worksheet with Answers

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“A worksheet on multiplying decimals, both 1 dp and 2 dp. There are 15 questions. Worked answers are included for every question. Suitable for Stage 4 mathematics students (NSW).”

#### Yr 10 Linear Relationships Worksheet with Answers

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This is a mathematics worksheet with worked answers for a yr 10 (stage 5) student studying linear relationships. There are 10 questions. This worksheet covers the following NSW syllabus dot points for 2018: 5.1 Linear Relationships Use the process for calculating the ‘mean’ to find the midpoint of the interval joining two points on the Cartesian plane. Use the interval between two points on the Cartesian plane as the hypotenuse of a right angled triangle and use the relationship gradient = rise/run to find the gradient of the interval joining the two points. Use the interval between two points on the Cartesian plane s the hypotenuse of a right angled triangle and apply Pythagoras’ Theorem to determine the length of the interval joining the two points.

#### Gradient, Mid Point and Distance Info Sheet for Stage 5 Maths

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This is an information sheet on how to calculate the Gradient, Mid Point and Distance of a linear function. 4 questions are given at the end, with guidance in how to answer them. (No answers provided). Colour-in border. Suitable for Stage 5 Maths (NSW).

#### How to: Angles of Elevation and Depression

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Explanation and step-by-step instructions on how to calculate problems with angles of elevation and depression, both the angles and the side lengths. There are 3 worked examples. Answers included on the last page.

#### Percentages in Finance Info Sheet for Stage 5 Maths

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This is an information sheet on how to calculate percentages using the unitary method. 5 questions relating to percentage calculations in the Finance topic are provided. (No answers given). Colour-in border. Suitable for Stage 5 Maths (NSW).