Year 7 Maths Homework – Summer term

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

Each week there is to be homework set, due in the day the teacher requests.The topics for each week are listed below.

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

Homework 3.1 – Averages

1. The Mean of these numbers is 6: What number is missing?

2. The Median of these numbers is 6. What number is missing?

3. The Range of these numbers is 6. What number is missing?

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

1. Find the Mean of these numbers:

2. Find the Mode of these numbers:

3. Find the Median and Range of:

4. Fin the mean, mode, median and range for:-

B.

C. Work out the Mean, median, range and Mode from this frequency table which shows the number of pets for 40 students:

Week 1 Summer term

7 5 8

5 9 4 6 8 4

3 1 8 9 6

20 26 82 40 32

A.

5 9 ?

5 2 ? 9

3 1 5 4 ?

Number of pets

1 2 3 4

Frequency 5 11 15 7

Qn4, With thanks to Tristan, tes

27 9 4 10 4

Homework 3.2 – Statistical charts

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=charts/lineGraphsOH&taskID=1198

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=scattergraphs/scattergraphsOH&taskID=1213

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=charts/groupdataOH&taskID=1196

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=piecharts/piechartsintroOH&taskID=1206

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=piecharts/piechartsOH&taskID=1207

A. Line graphs and two way tables.

B. •Reading pie charts•Drawing pie charts

C. •Scatter graphs•Grouping data

Week 2 Summer term

Mymaths.co.uk Homework

Homework 3.3 – Multiplying and dividing by powers of 10

A. Work out the following questions:  (i) 60 x 10 (ii) 200 x 100

 (iii) 890 x 1000 (iv) 2.5 x 10 • 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 (iv) 7.2 x 0.01(v) 12.8 ÷ 100 (vi) 4.3 ÷ 1000(vii) 1 234 ÷ 10 000 (viii) 7.89 ÷ 0.01(ix) 0.34 ÷ 0.1 (x) 0.7 ÷ _?__ = 7

Week 3 Summer term

Homework 3.4 – Rounding and estimation

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=accuracy/rounding10OH&taskID=1003

Mymaths.co.uk Homework

A. Round to the nearest 10, 100, …

B. Rounding decimals

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=accuracy/roundingDecimalOH&taskID=1004

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=accuracy/significantfiguresOH&taskID=1005

C. Significant figures

Week 4 Summer term

Homework 3.5 – Calculations – integers and decimals

Work out (i) 385 + 314 (ii) 634 – 214(iii) 42 x 3 (iv) 324 x 8(v) 96 ÷ 4 (vi) 693 ÷ 5(vii) 34 x 67 (viii) 234 x 68

A.

B. 1. Add together 6.7 and 4.5 2. Subtract 5.86 from 14.73. Multiply 346 by 24 4. Divide 342 by 6 5. 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?

Work out:(i)764 + 342 (ii) 542.8 + 23.9(iii)876.62 – 23.51 (vi) 672 x 32(v)3199 ÷ 7 (vi) 239.22 ÷ 6(viii) 91.8 ÷ 17

C.

Week 5 Summer term

Homework 3.6 – Expressions and formulae

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=charts/lineGraphsOH&taskID=1198

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=brackets/singleBracketsOH&taskID=1247

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=simplify/simplifyingExpressionsOH&taskID=1179

A. Writing and using formula

B. Simplifying expressions

C. Brackets

Week 6 Summer term

Mymaths.co.uk Homework

Homework 3.7 – Expressions

A. Simplifying

B. Factorising

C. Brackets

Week 7 Summer term

(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. a x a a + a 2(a + a) 4a5 ÷ 2a3 2a x a

 

Homework 3.8 – Forming and solving equationsImportant: Show all the steps in your working

Week 8 Summer term

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 of the triangle are 3(x – 3), 4x – 1 and 2x + 5. (i) Write down, in terms of x, an expression for the perimeter of the triangle. (ii) If the perimeter of the triangle is 49 cm, work out the value of x.

3 ( – 3 )x2 + 5x

4 – 1x

C.

Credit: Tristan

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? 

Homework 3.9 – Term review

• 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

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow1mental&taskID=201

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow8Seqandform&taskID=208

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow13HandlingData&taskID=13

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow8Angles&taskID=8

A. •Angles•Sequences

B. •Handling data•Angles and lines

C. •Arithmetic•Sequences and formulae

Week 9 Summer term

Mymaths.co.uk Homework

Homework 3.10 – Ratio and proportion

1. Simplify the following ratios:(a) 2:4 (b) 10:15 (c) 20:10(d) 8:12:20 (e) 20mm : 5cm

2.

1. 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.

1. Simplify the following ratios:(a) 6:9 (b) 10:25 (c) 20:35(d) 18:12:24 (e) 20min : 5hours2. Share these amounts into the given ratios:

(a)

(b)

3. 3 metres of ribbon cost £1.26. Work out the cost of 5 metres of the same ribbon.

A.

B.

C.

Week 10 Summer term

Spaghetti Carbonara: Ingredients for 4 people

400 g of spaghetti120 g of bacon2 tablespoons of oil4 eggs50 g of cheese

Homework 3.11 – Conversion and real life graphs

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=conversion/conversionGraphsOH&taskID=1059

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=kinematics/Kinematics1OH&taskID=1322

• http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=graphs/speedgraphOH&taskID=1184

A. •Conversion graph

B. •Real life graphs

C. Distance time graphs

Week 11 Summer term

Mymaths.co.uk Homework

Homework 3.12 – Cooking project

• 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.

A. B. C.

Week 12 Summer term