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).
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Suitable for Stage 5 Maths (NSW).
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 percentages using the unitary method. 5 questions relating to percentage calculations in the Finance topic are provided. (No answers given).
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Suitable for Stage 5 Maths (NSW).
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.
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 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 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
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.
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 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 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.
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.
6 sets of ‘cards’ that include:
A word problem (on angles of elevation and angles of depression)
A picture representing the word problem
The answer to the word problem
There are 18 ‘cards’ in total, in addition to an answer key (each set coloured is coloured a different colour).
The ‘cards’ are in a random order, so it is not necessary to cut them all out - colouring, the ‘cards’ differently, or otherwise, is enough for students to match the 3 pieces of each set.
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.)
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.
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 & tax rates
Formulas for the area and periemters of each of the following shapes are displayed:
Square
Rectangle
Parallelogram
Trapezium
Rhombus
Kite
Triangle
Circle
This indices activity has 19 questions with the subtopics of
the zero index
power to a power
Answers are linked to a code used in order to find out what the Mayan calendar predicted for 2012.
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 the second dot point of IND-C-01:
‘Simplify algebraic expressions that involve the zero index’
‘Simplify algebraic expressions that involve powers, products and quotients of simple algebraic terms containing positive-integer indices’