Download GOSFORD CHRISTIAN COLLEGE

WYONG CHRISTIAN COMMUNITY SCHOOL
INFORMATION FOR YEAR 10 YEARLY EXAM 2015
Length : 1½ Hours
Section A: 15 multiple Choice Questions – 15 Marks (Common Section) – about 20mins
Section B: Free Response Questions – 30 Marks (Common Section) – about 25mins
Section C: Course Section – 40 Marks – about 45 mins
CONTENT FOR SECTION A, B and C
1)
Geometry
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2)
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Types of angles
Triangles
Angles in a triangle
Exterior angles of a triangle
Quadrilaterals and their properties
Angles in a quadrilateral
Using equations to calculate the size of angles
Angles and parallel lines
Sum of angles in a polygon
Angles in a regular polygon
Algebra
Simplify simple algebraic expressions
Simplify algebraic expressions using index laws
Powers and bases
Multiplication using indices
Division using indices
Zero index
Raising a power to another power
Negative indices
Square roots and cube roots
Irrational number
Four Operations with surds
Rationalising Surds
Binomial Surds and conjugates
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Consumer Arithmetic
 Percentage increase and decrease
 Profits and discounts
 Best buys
 Paying cash
 Credit cards
 Buying on terms
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calculating simple interest using the formula I  PRT where R 
r
where
100
I is the interest, P the principal,
R the annual interest rate and T the number of years
applying the simple interest formula to problems related to investing money at simple interest rates
calculating compound interest for two or three years by repeated multiplication using a calculator e.g. a rate
of 5% per annum leads to repeated multiplication by 1.05
calculating compound interest on investments using a table
Using the formula for compound interest and depreciation
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9.
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and linear equations
Operations with pronumerals
Substituting into expressions
Expanding
Factorising using common factors
Adding and subtracting algebraic fractions
Multiplying and dividing algebraic fractions
Solving basic equations
Solving more complex equations
Coordinate Geometry
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Plotting linear graphs
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Gradient and y-intercept
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Finding the rule for linear graphs
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Sketching linear graphs
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Using the coordinates of two points to find the gradient
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Distance between two points
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Midpoint of a line segment
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Finding the equations of lines
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Gradient-intercept form of a line
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General form of a line
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Point-gradient form of a line
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Parallel Lines and Perpendicular lines – finding their equations
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Simultaneous equations – solving graphically
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Simultaneous equations – solving using elimination method and substitution method
Data Representation and Analysis
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8)
_Algebra
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Frequency distribution tables
Frequency polygons and histograms
Dot Plots
Stem and Leaf Plots
Back to back stem and leaf plots
Measures of central tendency – Mean Median and Mode
Box and whisker plots
Quartiles and Interquartile range
Standard deviation
Explaining data results and comparing data using mean, median, mode, range, interquartile range, and
standard deviation
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Triangles and Trigonometry
Similar triangles and their relationship to trigonometry
Trigonometric ratios – Sine, Cosine and Tangent
Finding missing angles and sides in right angled triangles ( angles involving degrees and minutes)
Bearings
Angles of elevation and depression
Solving practical problems using trigonometry
3D problems involving Trigonometry
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Prove that
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Trigonometry using angles between
Graphs of the trig functions
Exact ratios using trig
Sine Rule
Cosine Rule
Area of a triangle
Solving practical problems
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Non- linear Relationships
Factorising Quadratics – common factor, difference of two squares, perfect squares, trinomials
Solving quadratic equations – using factorising methods and quadratic formula
Solving problems using quadratic equations.
Sketching Quadratics and parabolas.
(ASTC)