# 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.

#### 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

#### 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).

#### 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

#### Gradient, Mid-Point & Distance Yr9/10 Pack

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This resource package covers learning the gradient, mid-point and distance between two points formulas. Appropriate for Stage 5. This pack contains: An information sheets with formulas for gradient, mid-point and distance between two points, each with an example A worksheet containing a series of coordinates on the Cartesian plane, asking students to find the gradient, mid-point and distance between two points An activity sheet asking students to compare the length of two pathways using the distance formula An activity sheet consisting of a matching game between coordinate pairs, gradients, distances and mid-points.

#### 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.

#### 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.

#### 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.

#### 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.

#### 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).

#### 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).

#### 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

#### 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).

#### Christmas Addition and Subtraction of Decimals Yr 7

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A worksheet on the addition and subtraction of decimals, up to 3 dp. There are 46 questions, 23 on addition and 23 on subtraction, decorated with a bit of Christmas fun. Worked answers are included for every question. Suitable for Stage 4 mathematics students (NSW). Includes a 4 and a half minute teaching video on the addition and subtraction of decimals. (The link to the video is in the worksheet.)

#### 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).

#### 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).”

#### 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.

#### 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).

#### 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.