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).
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’
Formulas for the area and periemters of each of the following shapes are displayed:
Square
Rectangle
Parallelogram
Trapezium
Rhombus
Kite
Triangle
Circle
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 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.
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 mathematics worksheet with worked answers for a yr 9 or 10 (stage 5) student studying indices. There are 25 equations to solve. Worked answers are provided at the back.
This worksheet covers the following NSW syllabus dot points for 2018:
5.1 Indices:
Extend and apply the index laws to variables, using positive-integer indices and the zero index
Simplify algebraic products and quotients using index laws
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)
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 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 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 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).”
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.
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.