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.

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).

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).

Coloured and black & white printable versions! There are 3 sets of cut-and-paste activities, each with 8 fraction pairs. Each fraction pair contains a mixed fraction and an improper fraction to match (either cut and paste, drawing lines between each equation and its solution, or otherwise). An answer key is also included. This can be used for stage 4 students learning or revising converting between mixed fractions and improper fractions. This activity caters to the new NSW math syllabus for 2024, meeting part of the first dot point of MA4-FRC-C-01:  • ‘Examine methods of generating equivalent fractions’ As well as the Australian Curriculum for year 7: Real Numbers - ACMNA152: • ‘Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line’ Includes 3 pages of Activity + Answer key Colour and BW versions included

This indices worksheet has 31 questions with the subtopics of establishing index laws the zero index There are PDF and word versions of the indices activity. The PDF version splits the questions and answers on separate PDFs and the word version contains all the questions and answers in the one document. This worksheet caters to the new NSW math syllabus for 2024, meeting parts of the first dot point of IND-C-01: ‘Establish that x^0=1 algebraically using index laws’ ‘Simplify algebraic expressions that involve the zero index’ Other related index resources from my shop: Index Worksheet with Worked Solutions Yr 9/10 Did You Know? Indices Code Activity with Answers

Formulas for the area and periemters of each of the following shapes are displayed: Square Rectangle Parallelogram Trapezium Rhombus Kite Triangle Circle

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.

Definitions written for the following summary statistics: Mean Mode Median Range Each covers half a page and can be printed and then coloured-in.

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.

An activity on negative integers. There are 3 activity pages with 8 questions each. Every activty page has an answer key. The first activity page has eight addition and subtraction of negative integers questions to match (either cut and paste, drawing lines between each equation and its solution, or otherwise). The second activity page has eight multiplcation of negative integers questions to match / cut and paste. The third activity page has eight division of negative integers questions to match / cut and paste. This can be used for stage 4 students learning about negative integers. Includes 2 pages of Activities + Answer keys + Greyscale printable version of all pages

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.

This is a linear relationships activity sheet consisting of a matching game between coordinate pairs, gradients, distances and mid-points, with answers. Each coordinate pair, gradient, midpoint and distance length are in separate squares that may be cut out or just coloured in, in order to pair them together. There are 4 sets of matching coordinate pair, gradient, distance length and mid-point.

This is a linear relationships activity sheet asking students to compare the length of two pathways using the distance formula. The two pathways (comprised of multiple coordinates) lead to a treasure chest. Fully worked answers are included.

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.

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).

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

“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).”

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.

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.)

A basic trigonometry worksheet for those learning to use the sin, cos, and tan ratios to find the length of an unknown side (15Q) or the degrees of an unknown angle (10Q). Each question comprises a diagram of a triangle with all the relevant information. Fully worked answers to all questions are included.