# 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.

#### 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).

#### 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.

#### 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.

#### 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)

#### Yr 8 Pythagoras Theorem Worksheet with Answers

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This is a one page worksheet of 11 questions to highlight the concept of Pythagoras Theorem. This worksheet is perfect for yr 8 students. Worked answers are provided for on the last page.

#### 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.

#### 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).

#### 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).

#### Solving Equations Worksheet for Stages 5 & 6

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Here is a 25 question worksheet on solving equations. Equations involving fractions, and calculating multiple steps are included. Worked answers to every question are provided. Suitable for mathematics students in Stage 5 and Stage 6 (NSW).

#### Yr 10 Algebra Terms and Expressions Worksheet with Answers

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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. 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.

#### Logs Worksheet with Answers Yr 12

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This is a tailored logs worksheet for NSW HSC students doing the Mathematics Adv. (2 unit) course in 2018. Addressing syllabus dot points: 12.2 Definition of logarithm to the base a. Algebraic properties of logarithms and exponents. 12.3 The functions y=a^x and y=loga(x) for a&gt;0 and real x. Change of base. It is also a useful worksheet for anyone studying logarithms, with full worked answers.

#### 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 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

#### Indices Worksheet for Stage 6

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This is a 25Q worksheet to do with INDICES, covering multiplication, division, power to a power rules as well as the zero indice and indices which are fractions. Worked answers to every question are provided. Colour in header and BCTS characters are included. Suitable for Stage 5 or Stage 6 mathematics students (NSW).

#### Locus and Parabola Worksheet with Answers Yr12

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This a mathematics worksheet for yr 11/12 mathematics advanced &amp; extension students working through the locus and parabola. There are 11 questions with fully worked solutions.

#### Driving Topic Maths Worksheet Stage 6

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Driving topic includes speed, reaction distance and fuel consumption type questions. There are 17 question in this worksheet. Fully worked answers are provided. Suitable for Stage 6 students doing mathematics (NSW).

#### 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

#### 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.

#### 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).

#### Colour-By-Number Angles, Area and Volume Yr 8

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This is a colour-by-number activity sheet with 10 questions for a year 8 student studying angles, area and volume. (Original picture of Miss Queries was drawn by Avalon Collier Art, 2018)