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Year 7 Maths Homework – Summer 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 Beginning Homework number Topic 22nd April 3.1 Averages; Mean, Median , Mode and Range 29th April 3.2 Statistical charts 5th May 3.3 Multiply and divide by powers of 10 12th May 3.4 Estimation; Rounding to given Decimal Places and Significant Figures 19th May 3.5 Calculations; Multiply, Divide, Add and Subtract with integers and decimals. 2nd June 3.6 Expressions and formulae 9th June 3.7 Expressions; Expanding brackets, Factorising. 16th June 3.8 Forming and solving equations 23rd June 3.9 Term review 30th June 3.10 Ratio and proportion 7th July 3.11 Conversion graphs 14th July 3.12 Project 21st July 3.13 End of year 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 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!) Almost every other week 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 triangle. 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 Resources Centre in school (open until 4pm Monday – Thursday, 3.30pm Friday) Credits: Tristan: 3.1 B4, 3.7 C; D Burke: 3.7A; J Casey: 3.3A; Emaths: 3.8 Week 1 Summer term Homework 3.1 – Averages A. 1. Find the Mean of these numbers: 5 9 4 2. Find the Mode of these numbers: 7 5 8 6 8 3 1 4 8 3. Find the Median and Range of: 20 26 82 40 4. Fin the mean, mode, median and range for:- 2 9 4 10 7 6 9 32 4 B. 1. The Mean of these numbers is 6: What number is missing? 5 9 ? 2. The Median of these numbers is 6. What number is missing? 5 2 ? 9 3. The Range of these numbers is 6. What number is missing? 3 1 5 4 ? 4. Alison now has 6 blank cards. What should she write on them to get the following? (i) mean 5 and mode 4 (ii) mean 6, mode 6, median 6 and range 2 Qn4, With thanks to Tristan, tes C. Work out the Mean, median, range and Mode from this frequency table which shows the number of pets for 40 students: Number of pets 1 2 3 4 Frequency 5 11 15 7 Homework 3.2 – Statistical charts Week 2 Summer term Mymaths.co.uk Homework A. Line graphs and two way tables. http://www.mymaths.co.uk/tasks/library/loadTask.as p?title=charts/lineGraphsOH&taskID=1198 B. • Reading pie charts • Drawing pie charts • C. • Scatter graphs• • Grouping data • http://www.mymaths.co.uk/tasks/library/loadTask.a sp?title=piecharts/piechartsintroOH&taskID=1206 • http://www.mymaths.co.uk/tasks/library/loadTask.a sp?title=piecharts/piechartsOH&taskID=1207 http://www.mymaths.co.uk/tasks/library/loadTask.asp?t itle=scattergraphs/scattergraphsOH&taskID=1213 http://www.mymaths.co.uk/tasks/library/loadTask.asp?t itle=charts/groupdataOH&taskID=1196 Homework 3.3 – Multiplying and dividing by powers of 10 Week 3 Summer term A. Work out the following questions: (i) 60 x 10 (ii) 200 x 100 (iii) 890 x 1000 (iv) 2.5 x 10 (v) 50 ÷ 10 (vi) 400 ÷ 10 (vii) 700 ÷ 100 (viii) 38 ÷ 100 (ix) 67 ÷ 1000 (x) 234.4 x 1000 B. Design a poster to explain clearly how to multiply and divide a number by a power of 10 C. Calculate showing full method clearly: (i) 8.34 x 100 (ii) 53 x 1 000 (iii) 6 754 x 10 000 (v) 12.8 ÷ 100 (iv) (vi) 7.2 x 0.01 4.3 ÷ 1000 (vii) 1 234 ÷ 10 000 (ix) 0.34 ÷ 0.1 (viii) (x) 7.89 ÷ 0.01 0.7 ÷ _?__ = 7 Homework 3.4 – Rounding and estimation Week 4 Summer term Mymaths.co.uk Homework A. Round to the nearest 10, 100, … B. Rounding decimals C. Significant figures http://www.mymaths.co.uk/tasks/libr ary/loadTask.asp?title=accuracy/rou nding10OH&taskID=1003 http://www.mymaths.co.uk/tasks/l ibrary/loadTask.asp?title=accura cy/roundingDecimalOH&taskID= 1004 http://www.mymaths.co.uk/tasks/libr ary/loadTask.asp?title=accuracy/sig nificantfiguresOH&taskID=1005 Homework 3.5 – Calculations – integers and decimals A. B. Work out (i) (iii) (v) (vii) 385 + 314 42 x 3 96 ÷ 4 34 x 67 Week 5 Summer term (ii) (iv) (vi) (viii) 634 – 214 324 x 8 693 ÷ 5 234 x 68 1. 3. 5. Add together 6.7 and 4.5 2. Subtract 5.86 from 14.7 Multiply 346 by 24 4. Divide 342 by 6 I pay £26.20 to travel to work each week. I work for 45 weeks each year. (a) How much do I pay to travel to work each year. (b) I could buy a season ticket that would let me travel for all 45 weeks. It would cost £630. How much is that per week? C. Work out: (i) 764 + 342 (iii) 876.62 – 23.51 (v) 3199 ÷ 7 (viii) 91.8 ÷ 17 (ii) 542.8 + 23.9 (vi) 672 x 32 (vi) 239.22 ÷ 6 Homework 3.6 – Expressions and formulae Week 6 Summer term Mymaths.co.uk Homework A. Writing and using formula http://www.mymaths.co.uk/tasks/library/loadTask.as p?title=charts/lineGraphsOH&taskID=1198 • B. Simplifying expressions C. Brackets • http://www.mymaths.co.uk/tasks/library/loadTask.a sp?title=simplify/simplifyingExpressionsOH&taskID =1179 http://www.mymaths.co.uk/tasks/library/loadTask.asp?t itle=brackets/singleBracketsOH&taskID=1247 Homework 3.7 – Expressions Week 7 Summer term A. Simplifying (i) y + y + y + y (ii) a + a + a (iii) b x b x b x b (iv) c x c x c (v) 4a + 9a (vi) 10b – 8b (vii) 3d – 7d (viii) 6c + 5d + 3c + 8d (ix) 5h x 6h (x) 7(e + 6) (xi) 3(2f – 3) (xii) Circle the expressions below that have the same value as 2a2. axa a+a 2(a + a) 4a5 ÷ 2a3 2a x a B. Factorising C. Brackets 1. Factorise 2. Expand and simplify 3. Factorise Week 8 Summer term Homework 3.8 – Forming and solving equations Important: Show all the steps in your working B. Write the following as equations and solve to find the value of the letter: 1. I think of a number, multiply by 6 and add on 4. The answer is 34. What was the original number? 2. I think of a number. I multiply it by 6 and add 3. If my answer is 75, calculate the number I started with. 3. Diagram NOT accurately drawn The lengths, in cm, of the sides 3(x – 3) of the triangle are 3(x – 3), 4x – 1 2x + 5 and 2x + 5. (i) Write down, in terms of x, an expression for the perimeter of the triangle. 4x – 1 (ii) If the perimeter of the triangle is 49 cm, work out the value of x. C. 1. Jo is twice as old as Bobby. John is 7 years younger than Jo. If the sum of their ages is 38, how old are the three children? 2. Janet is three times as old as her daughter, Mary. Five years ago Janet was four times as old as Mary. How old is Janet now? 3. Mrs Root gave her maths class this problem: “When 8 is added to a certain number, the result is 3 times as large as when 2 is subtracted from the number.” She asked the class to find the original number. What was the correct number? Credit: Tristan Homework 3.9 – Term review Week 9 Summer term Mymaths.co.uk Homework A. • Angles • Sequences • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title =charts/lineGraphsOH&taskID=1198 • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title =fourbooster/ow10NumberPatterns&taskID=70 B. • Handling data • Angles and lines • http://www.mymaths.co.uk/tasks/library/loadTask.a sp?title=boosters/ow13HandlingData&taskID=13 • http://www.mymaths.co.uk/tasks/library/loadTask.a sp?title=boosters/ow8Angles&taskID=8 • C. • Arithmetic • Sequences and• formulae http://www.mymaths.co.uk/tasks/library/loadTask.asp?t itle=gcseFoundation/ow1mental&taskID=201 http://www.mymaths.co.uk/tasks/library/loadTask.asp?t itle=gcseFoundation/ow8Seqandform&taskID=208 Homework 3.10 – Ratio and proportion A. 1. Simplify the following ratios: (a) 2:4 (b) 10:15 (d) 8:12:20 (e) 20mm : 5cm Week 10 Summer term (c) 20:10 2. B. 1. Simplify the following ratios: (a) 6:9 (b) 10:25 (c) (d) 18:12:24 (e) 20min : 5hours 2. Share these amounts into the given ratios: 20:35 (a) (b) 3. C. 1. 3 metres of ribbon cost £1.26. Work out the cost of 5 metres of the same ribbon. Amy and Ben were given a total of £240. They shared the money in the ratio 7 : 5. Work out how much money each received. 2. This is a recipe for making Spaghetti Carbonara for 4 people. Bill is making Spaghetti Carbonara for 10 people. Work out the amount of each ingredient he needs. Spaghetti Carbonara: Ingredients for 4 people 400 g of spaghetti 120 g of bacon 2 tablespoons of oil 4 eggs 50 g of cheese Week 11 Summer term Homework 3.11 – Conversion and real life graphs Mymaths.co.uk Homework A. • Conversion graph B. • Real life graphs C. Distance time graphs • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title =conversion/conversionGraphsOH&taskID=1059 • http://www.mymaths.co.uk/tasks/library/loadTask.a sp?title=graphs/speedgraphOH&taskID=1184 • http://www.mymaths.co.uk/tasks/library/loadTask.asp?t itle=kinematics/Kinematics1OH&taskID=1322 Homework 3.12 – Cooking project A. B. C. Week 12 Summer term • Term finishes on Wednesday, 23rd July, 2014 • Review the year • Use mymaths to revisit areas covered this term: 1. Averages. 2. Rounding and estimation. 3. +, -, x and ÷ with integers and decimals. 4. Expressions – simplifying. 5. Expressions – factorising. 6. Formulae – substitution and rearranging. 7. Equations. 8. Ratio and proportion. 9. Graphs. 10. Problem solving. 11. Statistical charts.