Contents. Heinemann Maths Zone Copyright Pearson Australia (a divsion of Pearson Australia Group Pty Ltd)

Transcription

1 Contents Chapter Money calculations R. Expressing fractions as decimals R.2 Expressing decimals as fractions R.3 Operating with fractions R.4 Simple decimal arithmetic R.5 Ratio and fractions R.6 Dividing an amount in a given ratio R.7 Finding a percentage R.8 Solving linear equations R.9 Order of operations R.0 Solving linear equations R. Volume of a rectangular prism R.2 Supplementary angles R.3 Adding and subtracting like terms R.4 Dividing with pronumerals R.5 Factorisation R.6 Areas of rectangles and triangles R.7 Areas of squares, rectangles, right-angled triangles and circles R.8 Perimeter R.9 A deck of playing cards R.20 3D shapes R.2 Time C. Simple interest C.2 Finding the discounted price C.3 Finding the percentage profit or loss C.4 Percentage calculations C.5 Simple interest C.6 Money calculations word C.7 Money calculations crossword. Money calculations.2 Money calculations Assignment Chapter 2 Exponents and surds R2. Factor trees and prime factors R2.2 Index and factor form R2.3 Evaluating indices R2.4 Squares and square roots R2.5 Multiplication of fractions R2.6 Improper fractions R2.7 Multiplying and dividing fractions R2.8 Evaluating surds R2.9 Simplifying addition and subtraction R2.0 Perimeter R2. Areas of squares, rectangles, right-angled triangles and circles R2.2 Volume R2.3 Time R2.4 Plotting linear graphs R2.5 Solving equations by performing the same operation on both sides C2. Working with numbers in index form C2.2 Raising a number in index form to a power C2.3 Estimating square and cube roots C2.4 Multiplying surds C2.5 Simplifying surds C2.6 Exponents and surds word C2.7 Exponents and surds crossword 2. Exponents and surds 2.2 Exponents and surds Assignment 2 Chapter 3 Measurement R3. Time R3.2 Multiplying and dividing by powers of 0 R3.3 Rounding to two decimal places R3.4 Time conversions R3.5 Substitution R3.6 Perimeter R3.7 Perimeter and area R3.8 Expansion R3.9 Factorisation R3.0 Plotting linear graphs R3. Solving one-step linear equations C3. Converting units C3.2 Understanding length units C3.3 Relating distance, time and speed

2 C3.4 Perimeter involving parts of circles C3.5 Perimeter, area and converting units C3.6 Surface area C3.7 Surface area, volume and capacity C3.8 Measurement word C3.9 Measurement crossword 3. Measurement 3.2 Measurement 3.3 Measurement Assignment 3 Chapter 4 Pythagoras and trigonometry R4. Rounding to two decimal places R4.2 Using the calculator for square roots R4.3 Solving one-step linear equations R4.4 Angles in a right-angled triangle R4.5 Ratios, fractions and simplification R4.6 Complementary and supplementary angles C4. Setting up Pythagoras Theorem C4.2 Finding the hypotenuse C4.3 Finding a side other than the hypotenuse C4.4 Pythagoras Theorem C4.5 Identifying sides in triangles C4.6 Using the correct trigonometric ratio C4.7 Finding the equation C4.8 Finding side lengths C4.9 Finding the hypotenuse C4.0 Finding an angle C4. Pythagoras and trigonometry word C4.2 Pythagoras and trigonometry crossword 4. Pythagoras and trigonometry 4.2 Pythagoras and trigonometry 4.3 Pythagoras and trigonometry Assignment 4 Chapter 5 Expanding and factorising R5. Terms R5.2 Coefficients R5.3 Like terms R5.4 Substitution R5.5 Perimeter R5.6 Highest common factor (HCF) C5. More difficult applications of the Distributive Law C5.2 Binomial expansion C5.3 Expanding perfect squares C5.4 Simplifying and expanding C5.5 Factorising using common factors C5.6 Factorising with negative common factors C5.7 Factorising perfect squares C5.8 Factorising quadratic trinomials C5.9 Expanding and factorising word C5.0 Expanding and factorising crossword 5. Expanding and factorising 5.2 Expanding and factorising 5.3 Expanding and factorising Assignment 5 Chapter 6 Linear relationships R6. Solving simple linear equations R6.2 Expanding algebraic expressions R6.3 Equations and inequations R6.4 Plotting linear graphs R6.5 Subtracting directed numbers R6.6 Multiplication and division of directed numbers C6. Solving more difficult linear equations C6.2 Linear equations where the unknown appears more than once C6.3 Linear equations with fractions on both sides C6.4 x-intercepts and y-intercepts C6.5 Positive and negative gradients C6.6 Finding the gradient using the rule

3 C6.7 Finding the y-intercept and the gradient from the equation C6.8 Linear relationships word C6.9 Linear relationships crossword 6. Linear relationships 6.2 Linear relationships 6.3 Linear relationships Assignment 6 Chapter 7 Quadratics R7. Solving linear equations R7.2 Rounding off to two decimal places R7.3 x-intercepts and y-intercepts R7.4 Substitution R7.5 Plotting linear graphs R7.6 Similar figures R7.7 Expanding R7.8 Factorising algebraic expressions C7. Turning points C7.2 Axes of symmetry C7.3 x-intercepts and y-intercepts C7.4 Transformations of y = x2 C7.5 Further transformations C7.6 Null Factor Law C7.7 Using the x-intercepts to find the turning point C7.8 Quadratic outcomes word C7.9 Quadratic outcomes crossword 7. Quadratics 7.2 Quadratics Assignment 7 Chapter 8 Space R8. Drawing angles R8.2 Naming angles R8.3 Complementary and supplementary angles R8.4 Solving linear equations R8.5 Distance and bearings C8. Opposite angles and angles on parallel lines C8.2 Congruent figures C8.3 Similar triangles C8.4 Naming quadrilaterals C8.5 Space word C8.6 Space crossword 8. Space 8.2 Space 8.3 Space Assignment 8 Chapter 9 Chance R9. Simplifying fractions R9.2 Converting common fractions to decimals R9.3 Expressing fractions as percentages R9.4 Listing possible outcomes R9.5 Simple probabilities R9.6 Operations with fractions R9.7 Addition of three fractions C9. Using a table to list the sample space C9.2 Odds and probabilities C9.3 Chance word C9.4 Chance crossword 9. Chance 9.2 Chance Assignment 9 Chapter 0 Data R0. Frequency tables R0.2 Distance time graphs R0.3 The mean R0.4 Number patterns C0. Mean, median, mode C0.2 Stem-and-leaf plots C0.3 Finding the median from a stemand-leaf plot C0.4 Data word C0.5 Data crossword 0. Data 0.2 Data Assignment 0

4 Worksheet solutions Chapter Worksheet solutions Chapter 2 Worksheet solutions Chapter 3 Worksheet solutions Chapter 4 Worksheet solutions Chapter 5 Worksheet solutions Chapter 6 Worksheet solutions Chapter 7 Worksheet solutions Chapter 8 Worksheet solutions Chapter 9 Worksheet solutions Chapter 0 Worksheet solutions

5 Expressing fractions as decimals R. Decimals are a simple way of writing fractions that have denominators of 0, 00, 000, 0 000, etc. You need to remember that each 0 in the denominator corresponds to a decimal place. So, for a denominator of 0, there will be one decimal place, whereas for a denominator of 000 there will be three decimal places. Express each of the following fractions as a decimal. 3 0 (b) 7 00 (c) Zeros are needed to give three decimal places. 3 7 = 0.3 (b) = (c) = Write the number of decimal places there would be if each of the following fractions was written as a decimal. 7 0 place (b) 8 00 (c) (d) (e) 8 0 place (f) Express each of the following fractions as a decimal. (d) 8 0 = 0. (b) = 0. (c) = 0.09 (e) = 0. (f) 8 00 = 0. = 0. Zero needed to give two decimal places. (g) = 0. (h) 9 00 = 0. (i) 5 0 = 0. Heinemann emaths Zone Copyright Pearson Australia (a divsion of Pearson Australia Group Pty Ltd)

6 Finding the percentage profit or loss To find the percentage profit or loss you need to use the following formulae. profit 00 % Profit (based on cost price) = CP 2 % Loss (based on cost price) = 3 profit 00 % Profit (based on selling price) = SP 4 % Loss (based on selling price) = loss 00 CP C.3 loss 00 SP Complete the following to calculate the percentage profit or loss based on the cost price each time. CP = $60 SP = $85 (b) CP = $70 SP = $40 Profit = = $25 Loss = 70 = = 4.67% % Loss (on CP) = = % (d) CP = $00 SP = $250 = = = % % (on CP) =... = % % Profit (on CP) = (c) CP = $70 SP = $00 Profit = = % Profit (on CP) =... (e) CP = $270 SP = $50 Loss = = % Loss (on CP) =... = % (f) CP = $365 SP = $99 = = % (on CP) =... = % 2 For each example in Question, complete the following to calculate the percentage profit or loss based on the selling price. Profit = (b) Loss = % Profit (on SP) = = % (c) Profit = % Profit (on SP) =... = % (e) Loss = % Loss (on SP) =... = % % Loss (on SP) = = % (d) = % (on SP) =... = % (f) = % (on SP) =... = % Heinemann emaths Zone Copyright Pearson Australia (a divsion of Pearson Australia Group Pty Ltd)

7 Money calculations The following questions refer to Exercises..3 in Heinemann emaths Zone. If you are unsure of how to do a question, try looking at a worked example or other information in the section shown under the question number. Show all working in the space provided. Name: Class: Due date: Parent s signature/comment:. Evaluate: A driver is paid $2.50 per hour for a 35-hour week and time-and-a-half for each additional hour. One week she worked 42 hours. What was she paid? 6 2 (b) Evaluate the following using your calculator. 5. Where necessary, give your answers correct to two decimal places Ann is paid $00 per week plus 2.5% of the value of the plants she sells. One week she sold $200 worth of plants. What did she earn? (b) (c) Ding works part-time at the local Food and 6 More convenience store. He is paid $8.50 per hour. How much does he earn if he works 20 hours?.2.3 Calculate the net income when gross income = $025, tax = $62.40 and superannuation = $47.20 Heinemann emaths Zone Copyright Pearson Australia (a divsion of Pearson Australia Group Pty Ltd)