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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 2) 3) 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 Consumer Arithmetic Percentage increase and decrease Profits and discounts Best buys Paying cash Credit cards Buying on terms 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 4) 6) 7) 9. 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 Plotting linear graphs Gradient and y-intercept Finding the rule for linear graphs Sketching linear graphs Using the coordinates of two points to find the gradient Distance between two points Midpoint of a line segment Finding the equations of lines Gradient-intercept form of a line General form of a line Point-gradient form of a line Parallel Lines and Perpendicular lines – finding their equations Simultaneous equations – solving graphically Simultaneous equations – solving using elimination method and substitution method Data Representation and Analysis _ 8) _Algebra 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 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 Prove that Trigonometry using angles between Graphs of the trig functions Exact ratios using trig Sine Rule Cosine Rule Area of a triangle Solving practical problems 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)