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.
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
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.
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 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
This indices worksheet has 109 questions covering subtopics of
Multiplication law of indices
Division law of indices
Power to a power law of indices
The zero index
There are PDF and word versions of the indices worksheet. The PDF version splits the questions and worked 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 the second dot point of IND-C-01 (for stage 5):
‘Simplify algebraic expressions that involve powers, products and quotients of simple algebraic terms containing positive-integer indices’
Other related index resources from my shop:
Indices and the Zero Index Worksheet with Answers
Did You Know? Indices Code Activity with Answers
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 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 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.