Year 9 sets 3 to 7 Maths Homework – autumn term Each week there is to be homework set, due in the day the teacher requests. The topics for each week are listed below. Week Homework number Topic 1 1.1 Algebraic expressions – worksheet. 2 1.2 Equations – mymaths. 3 1.3 y=mx+c (straight line graphs) – worksheet. 4 1.4 Formula and substitution – mymaths. 5 1.5 Fractions, decimals and percentages – worksheet. 6 1.6 Fractions – mymaths. 7 1.7 4 Operations and approximation – worksheet. 8 1.8 BIDMAS and calculator – mymaths. 9 1.9 Probability – worksheet. 10 1.10 Angles in lines and shapes – mymaths. 11 1.11 Construction and loci – worksheet. 12 1.12 Area and perimeter (including circle) – mymaths. 13 1.13 Key assessment prep. – mymaths. 14 1.14 Pythagoras’ theorem – worksheet. 15 1.15 Key assessment review. Please note: The date given is the date which the work is being taught in class. The due date may well be the following week and is at the individual teachers discretion. Each mymaths homework is divided into 3 sections, A B & C. A is for all pupils to attempt. B is slightly harder and for most pupils to attempt. C is the higher level work for some pupils to attempt. (Your teacher will tell you which parts you should work up to) ONLY SPEND AROUND 30mins! If you are struggling, try using mymaths, if this doesn’t help then ask someone who can, preferably your maths teacher (BEFORE IT IS DUE IN!) Every other week (roughly) is a Mymaths based homework. These are to be done online using your own login and password. The initial school login is testwood and password is pentagon (this may change). Please remember to click ‘checkout’ at the end so your work is submitted. If you do not have the internet at home please use the learning resource centre (open until 4pm Monday – Thursday, 3.30pm Friday) (With thanks to Kevin Jobson, JCasey and tes contributors)

Name: ……………………………… Due in date: ………… Week 1 Please use the right hand side page for all your working out and answers unless told otherwise. Homework 1.1: Expressions A. Simplify Write each expression in its simplest form. (i) 6m + 5m + 2m (ii) 5a +7b + 2a + 6b (iii) 7 + 2t + 3t (iv) b + 7 + 2b + 10 (v) 4v x 5y (vi) 24mn ÷ 16n L5: Simplify: Write these expressions as simply as possible. (i) n + 1 + 2 (ii) 3n + 5n (iii)  2n + 7 + n + 2  2. Multiply (5n + 2) by 3. Write your answer without any brackets.  B. Expand and simplify where possible: L6: Using equations 5(2e + 3) 4(2x + 5) + 3(5x + 7)   Factorise 6y + 2 8r + 12 12mn + 6m C. Expand and simplify where possible: (i) 4(2x + 5) + 3(5x + 7) (ii) (y + 3)(y + 2) (iii) (n + 7)2 6y + 2 (ii) 8r + 12 (iii) 12mn + 6m (iv) x² + 8x + 12 L7: Brackets Sandeep wants to multiply out the brackets in the expression (k + 4) (k + 7). He writes           Show why Sandeep is wrong. (k + 4) (k + 7)= k2 + 28

Name: ……………………………… Due in date: ………… Week 2 Homework 1.2: Equations Mymaths.co.uk Homework Equations This homework is divided into 3 sections, A B & C. A is for all pupils to attempt. B is slightly harder and for most pupils to attempt. C is the higher level work for some pupils to attempt. (Your teacher will tell you which part(s) you should complete) Simple equations http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/equationsSimpleOH&taskID=1154 B. Equations with unknown on both sides http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/solvingEquationsMovieOH&taskID=1182 C. Equations, includes trial and improvement. http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow9equations&taskID=209

Name: ………………………………………. Date: ……………… Week 3 Homework 1.3: Graphs Please use the right hand side page for all your working out and answers unless told otherwise. L5: Drawing graphs. 1. On the grid on the right, draw the graphs of: (i) y = 2 (ii) x = 4 (iii) x = y 2. Plot the two graphs on the same set of axes. Use the grid next page. (i) y = 2x (ii) y = 3x - 2 x -2 -1 1 2 3 y x -1 1 2 3 y B. Using the grid on the right; (i) Write down the equation of the straight line that passes through the pair of points : GD. (ii) Which lettered points lie on these lines: (1) x = 4 (2) y = 3. (iii) Plot the two graphs on the same set of axes. Explain your answer. L6: y = 2x + 2 y = 2x - 1 x -1   2 y 4 6 x   2 3 y -1 1 C. Do all of part B and do the following: L7: Straight lines (i) Does the point (2, 5) lie on the graph of y = 2x + 5? Explain your answer. (ii) A straight line goes through the points (0, 1), (2, 7) and (4, 13)    Write the equation of this straight line. Explain (show) how you came up with the equation of the line.

Name: ……………………………… Due in date: ………… Week 4 Homework 1.4: Formulae – substitution and rearranging. Mymaths.co.uk Homework Equations This homework is divided into 3 sections, A B & C. A is for all pupils to attempt. B is slightly harder and for most pupils to attempt. C is the higher level work for some pupils to attempt. (Your teacher will tell you which part(s) you should complete) Using function machines http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/functionMachinesOH&taskID=1159 B. Substitution 1 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/solvingEquationsMovieOH&taskID=1182 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow9equations&taskID=209 C. Substitution 2 Extension: Rearranging formulae http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=simplify/rearrangeOH&taskID=1171

Percentage gaining grade A Name: ……………………………… Due in date: ………… Week 5 Please use the right hand side page for all your working out and answers unless told otherwise. Homework 1.5: Fractions, decimals and percentages A. (i) Circle the quantity with the higher value in each of the following pairs: Show working out on how you made your choice. (a) or 0.5 (b) 0.7 or 68% (c) or 30%   By calculating, compare each of the following amounts and put them in the correct order, from lowest to highest. 0.3 x £200 (ii) 25% of £200 (iii) x £200 L5: Percentages (i) Write the missing numbers.   50% of 60 = ................ 5% of 60 = ............... 1% of 60 = ................. (ii)     Work out 56% of 80. You can use part (a) to help you. B. (i) Match up the following percentages to their correct quantities: You must show all working out. (ii) (1) Increase 880kg by 15% (2) Decrease £600 by 65%. L6: A Level results 10% of £35 15% of £24 80% of £5 35% of £11 £3·60 £4·00 £3·85 £3·50 £3.06 Here is some information about A levels in 2002.  How many more students gained grade A in mathematics than in English?   English Mathematics Number of  students 72 000 54 000 Percentage gaining grade A 19% 37% C. Do all of part B and the L7 question below:  L7: Percentage change One calculation on the right gives the answer to the question: (i) What is 70 increased by 9%? Circle the correct one. (ii) Choose one of the other calculations.      Write a question about percentages that this calculation represents.        calculation chosen:  ............... question it represents:  ................ (iii) Now do the same for one of the remaining two calculations.       calculation chosen:  ............... question it represents:  ................ (iv) Write the missing decimal number. To decrease by 14%, multiply by ….

Name: ……………………………… Due in date: ………… Week 6 Homework 1.6: Fractions. Mymaths.co.uk Homework Equations This homework is divided into 3 sections, A B & C. A is for all pupils to attempt. B is slightly harder and for most pupils to attempt. C is the higher level work for some pupils to attempt. (Your teacher will tell you which part(s) you should complete) (i) Proper and improper fractions (ii) Equivalent fractions http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/improperFractionsOH&taskID=1019 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/equivalentFractionsOH&taskID=1042 B. Adding and subtracting fractions http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/addingFractionsOH&taskID=1017 C. Multiplying and dividing fractions http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/multiplyingFractionsOH&taskID=1047 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/dividingFractionsOH&taskID=1040 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/mixednosOH&taskID=1074 Extension: Mixed numbers

Name: ……………………………… Due in date: ………… Week 7 Please use the right hand side page for all your working out and answers unless told otherwise. Homework 1.7: 4 operations and approximation A. Work out (i) 784. 2 + 37.5 (ii) 68 x 7 (iii) 467 x 83 (iv) 37.7 x 6 (vi) 4336 ÷ 8 (vi) 87.4 ÷ 3 L5: (1) Season ticket I pay £16.20 to travel to work each week. I work for 45 weeks each year. How much do I pay to travel to work each year? Show your working. L5: (2) Remainder 999 will divide exactly by 37. There is no remainder. (i) Write down the remainder when 1000 is divided by 37 (ii) Write down the remainder when 998 is divided by 37 (iii) Write down a multiple of 37 that is bigger than 1000 B. Work out 23.4 x 4.5 (ii) 64.2 x 0.43 (iii) 3199 ÷ 7 (iv) 91.8 ÷ 17 (v) 361.6 ÷ 0.8 (vi) 428 ÷ 3.4 L6: (1) Calculate       Calculate 57.3 × 2.1. Show your working. L6: Rounding: Round each of the following to: (1) 1 decimal place (2) 2 significant figures: (i) 3.7452 (ii) 12.3599 (iii) 34.743 C. Work out 23.4 x 4.5 (ii) 64.2 x 0.43 (iii) 3199 ÷ 7 (iv) 91.8 ÷ 17 (v) 361.6 ÷ 0.8 (vi) 428 ÷ 3.4 L7: Approximation/ Estimation/ Rounding At an athletics meeting, the discus throws are measured to the nearest centimetre. (i)     Viv’s best throw was measured as 35.42m.           Could Viv’s throw actually have been more than 35.42m?           Explain your answer.  (ii)     Chris won the hurdles race in a time of 14.6 seconds measured to the nearest tenth of a second.           Between what two values does Chris’s time actually lie? .............................. seconds   and    .............................. Seconds.

Name: ……………………………… Due in date: ………… Week 8 Name: ……………………………… Due in date: ………… Mymaths.co.uk Homework Homework 1.8: BIDMAS: Using correct order of operation A. Function Machines http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/functionMachinesOH&taskID=1159 B. Order of Operations (BIDMAS) http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=formulae/operationsOrderOH&taskID=1167 C. Using calculator efficiently (including power and brackets keys) http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow4Calculator&taskID=4

Name: ……………………………… Due in date: ………… Week 9 Please use the right hand side page for all your working out and answers unless told otherwise. Homework 1.9: Probability A. If a shape is picked from the container at random what is the probability of the following shapes being picked. (a) A circle (b) A square (c) A triangle (d) Any shape apart from A hexagon. (e) A hexagon L5: Security lock A door has a security lock. To open the door you must press the correct buttons. The code for the door is one letter followed by a single digit number. For example: B6 How many different codes are there altogether? Show your working. (ii) I know that the correct code begins with D. I press D, then I guess the single digit number. What is the probability that I open the door? B. 1. A bag contains a selection of multilink cubes. There are 3 red, 5 yellow, 2 blue and 6 green cubes. A cube is picked at random. What is the probability that a blue cube is not chosen? 2. A traffic light can show amber, red or green only. The probability that a certain traffic light shows red as James approaches it is 0.25 and the probability that it is green is 0.55. What is the probability that it is amber? 3. Two dice are rolled together and the product of the two numbers is found. Construct a sample space diagram. L6: Vowels A computer is going to choose a letter at random from an English book. The table shows the probabilities of the computer choosing each vowel. What is the probability that it will not choose a vowel? Vowel A E I O U Probability 0.08 0.13 0.07 0.03 C. Do all of part B and do the L7 question below: L7: Expected number of outcomes. Sunita plays a game of chess. She can win or draw or lose the game. The table shows each of the probabilities that she will win or draw the game. If Sunita plays 200 games, work out an estimate of the number of games she will lose. Result Win Draw Lose Probability 0.6 0.3  

Homework 1.10: Angles in lines and shapes Week 10 Homework 1.10: Angles in lines and shapes Mymaths.co.uk Homework This homework is divided into 3 sections, A B & C. A is for all pupils to attempt. B is slightly harder and for most pupils to attempt. C is the higher level work for some pupils to attempt. (Your teacher will tell you which part(s) you should work up to). Angles in lines and triangles http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=angles/anglesumsOH&taskID=1082 B. Angles in triangles and polygons http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=angles/exteriorOH&taskID=1100 C. Angles in parallel lines http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=angles/parallelOH&taskID=1109 Angles in parallel lines, polygons (includes bearings). http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow11Angles&taskID=211

Name: ………………………….……… Due in date: ………… Homework 1.11: Construction Week 11 Name: ………………………….……… Due in date: ………… Homework 1.11: Construction A. 1. Draw these angles accurately using ruler and protractor. (i) 60 (ii) 97 (iii) 210 2. Construct these triangles accurately: Measure and state the length of the missing side. (i) (ii) L5: Construction Sally says it is possible to draw a triangle with these side lengths: 5 cm, 5 cm and 12 cm. Is she correct? Explain how you know? Please use the right hand side page for all your working out and answers unless told otherwise. B. Construct these triangles using a ruler, compasses and protractor. [Hint: Sketch the triangle before drawing it accurately]. Triangle PQR: length PQ= 4cm, angle P= 120°, length PR= 6cm. (ii) Triangle ABC: length AB=6cm, angle A = 20°, angle B = 140°. Triangle ABC: length AB=10cm, length AC=4cm, length BC=8cm. L6: Bisectors: (Leave all constructions to show how you came up with your answer). Draw a line segment 9 cm long. Using a pair of compasses, draw a perpendicular bisector of the line segment. Draw an angle of 80°. Using a pair of compasses, draw a bisector of the angle. C. Draw a line segment 9 cm long. Using a pair of compasses, draw a perpendicular bisector of the line segment. Draw an angle of 80°. Using a pair of compasses, draw a bisector of the angle. Make an accurate drawing of an equilateral triangle with sides 8 cm in length. Make an accurate drawing of the quadrilateral ABCD.

Homework 1.12: Area and perimeter Week 12 Homework 1.12: Area and perimeter Mymaths.co.uk Homework This homework is divided into 3 sections, A B & C. A is for all pupils to attempt. B is slightly harder and for most pupils to attempt. C is the higher level work for some pupils to attempt. (Your teacher will tell you which part(s) you should work up to) Area Perimeter http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow12PerimeterAndArea&taskID=72 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow9Areas&taskID=9 B. Area of shapes C. Area and perimeter (including circles) http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow13area&taskID=213 Surface area of cuboids http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=areas/netsOH&taskID=1107 2. Volume http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow14Volume&taskID=214 Extension: Volume and surface area.

Homework 1.13: Key assessment prep. Week 13 Mymaths.co.uk Homework This homework is divided into 3 sections, A B & C. A is for all pupils to attempt. B is slightly harder and for most pupils to attempt. C is the higher level work for some pupils to attempt. (Your teacher will tell you which part(s) you should work up to) Fractions, decimals and percentages http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow7Percentage&taskID=67 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow12PerimeterAndArea&taskID=72 Area of shapes http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow11Probability&taskID=11 Probability Lines and angles. http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow8Angles&taskID=8 Coordinates and graphs http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow10graphs&taskID=210 Equations and inequalities http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow9equations&taskID=209

Homework 1.14: Pythagoras’ theorem Week 14 Please use the right hand side page for all your working out and answers unless told otherwise. a b c a² b² c² 3 4 5 7 12 10 24 26 6 8 A. Pythagoras’ theorem: Copy and complete this table: What do you notice? Using the mymaths website or the BBC bitesize website or any other source, state in full what Pythagoras’ theorem says. L5: Area Calculate the area of the square which has AC as one of its sides. B. As in A C. Pythagoras’ theorem. Calculate the length of the sides marked with the letter x. (i) (ii) (iii) (iv) L7: Triangle calculations Is it possible to have a triangle with the angles and lengths shown below? Show calculations then state Yes or No.