Year 9 sets 1 and 2 Maths Homework

Week Homework number

Topic

1 1.1 Expressions

2 1.2 Indices and standard index form

3 1.3 Equations and inequalities

4 1.4 Simultaneous linear equations

5 1.5 Fractions, decimals and percentages,

6 1.6 Percentages

7 1.7 4 operations and approximation.

8 1.8 BIDMAS and using calculator

9 1.9 Probability

10 1.10 Pythagoras’ theorem and trigonometry

11 1.11 Angles

12 1.12 Construction and loci

13 1.13 Key assessment prep.

14 1.14 Enlargement and similarity

15 Review test (Which topics did you not do well in the test?) Revisit them, use mymaths, BBC bitesize, SAMLearning, …

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 week given is the week in 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 does not help then ask someone who can, preferably your maths teacher (BEFORE IT IS DUE IN!)

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 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)

Homework 1.1: Expressions

Week 1

Name: ……………………………… Due in date: …………

A. Expand and simplify where possible: L6: Using equations(i)5(2e + 3)(ii)4(2x + 5) + 3(5x + 7) Factorise(i)6y + 2 (ii)8r + 12(iii)12mn + 6m

B. Expand and simplify where possible: (i) 4(2x + 5) + 3(5x + 7) (ii) (y + 3)(y + 2) (iii) (n + 7)2

Factorise(i)6y + 2 (ii) r + 12 (iii) 12mn + 6m (iv) x² + 8x + 12 L7: Brackets

(k + 4) (k + 7)= k2 + 28

Sandeep wants to multiply out the brackets in the expression (k + 4) (k + 7).He writes

Show why Sandeep is wrong.

Please use the right hand side page for all your working out and answersunless told otherwise.

C. Expand and simplify where possible: (i) 4(2x + 5) + 3(5x + 7) (ii) (y + 3)(y + 2) (iii) (n + 7)2 (iv) (2y + 7)(2y – 7)

Factorise(i)6y + 2 (ii) 8r + 12 (iii) 12mn + 6m (iv) x² + 8x + 12 (V) 4X² - 25

L8: Factorisation Look at this factorisation. x2 + 5x + 6 = (x + 2)(x + 3) (i) Write numbers to make a correct factorisation below. x2 + 7x + ........... = (x + ........... )(x + ........... )

(ii) Now write different numbers to make a correct factorisation. x2 + 7x + ........... = (x + ........... )(x + ........... )

Homework 1.2: Indices and Standard Index Form

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=powers/squareNumbersOH&taskID=1053

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=powers/indicesPart1OH&taskID=1033

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=standardform/standardformOH&taskID=1051

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=standardform/sfsmallOH&taskID=1049

A. Squares and cubes

B. Indices L7

C. Standard Index Form L8•Large

•Small

Week 2

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)

Extension L8Standard Index Form calculations

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=standardform/standardFormCalculationsOH&taskID=1050

Homework 1.3: Equations and inequalities

A. Solve the following equations:(i)4p + 6 =12 (ii) 3m – 8 = -13 (iii) 3(5x + 2 ) = 36(iv)3y + 6 = 7y – 2 (v) 8x + 2 = 4x + 10 (vi) 14x + 4 = 5x + 31L6: Inequalities(i) Look at this information:

(1) Give an example of what the value of x could be.(2) Give a different example of what the value of x could be.

(ii) Now look at this information on the right: What is the largest value that y could be?

B. Solve the following equations:(i)7p + 2 = 5p + 8 (ii) Solve 4(2y – 5) = 32 (iii) 5p + 7 = 3(4 – p)

(iv) (v) (vi)

L7: InequalityThis pattern is formed by straight line graphs of equations in the first quadrant.

One region of the pattern can be described

by the inequalitiesx ≤ 2, x ≥ 1, y ≥ x, y ≤ 3. Put an R in the single region of thepattern that is described.

Week 3 Name: ……………………………… Due in date: …………

C. Do all of part B and the L8 question below:L8: InequalitySolve these inequalities. Show your working.

(i) (ii)

7+4=3

)1+2(5x

x

x ≤ 0

2y + 3 ≤ 11

Please use the right hand side page for all your working out and answersunless told otherwise.

Homework 1.4: Simultaneous linear equations.

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=simultaneous/simEquMovieSimpleOH&taskID=1176

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/solvingEquationsMovieOH&taskID=1182

A. Simultaneous equations 1

B. Simultaneous equations 2

C. Simultaneous equations 3

Week 4

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)

Name: ……………………………… Due in date: …………

Mymaths.co.uk Homework Simultaneous linear equations

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=simultaneous/simEquMovieHardOH&taskID=1174

Extension: Simultaneous equations

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=simultaneous/simEquNegOH&taskID=1236

Homework 1.5: Fractions, decimals and percentages

A. (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

Week 5 Name: ……………………………… Due in date: …………

B. Do all of part B and the L7 question below: L7: Percentage changeOne 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 ….

10% of £3515% of £2480% of £535% of £11

£3·60£4·00£3·85£3·50£3.06

  English Mathematics

Number of students 72 000 54 000

Percentage gaining grade A 19% 37%

Here is some information about A levels in 2002. How many more students gained grade A in mathematics than in English?

Please use the right hand side page for all your working out and answersunless told otherwise.

C. Do (i) L6: A Level results question above(ii) L7: Percentage change question above.And do the L8 question below:L8: SaleA shop had a sale. All products were reduced by 15%. A pair of shoes cost £38.25 in the sale.What price were the shoes before the sale?Show your working.

Homework 1.6: Percentages.

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fdp/fdpHarderOH&taskID=1015

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=percentages/PercentageChangeOH&taskID=1060

A. Fractions, decimals and percentages.

B. Percentage change 1

Extension Percentage change 2

Week 6

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)

Name: ……………………………… Due in date: …………

Mymaths.co.uk Homework Simultaneous linear equations

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=percentages/percentagechange2OH&taskID=1073

C. Change as a percentage

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=percentages/changeAsAPercentageOH&taskID=1302

Homework 1.7: 4 operations and approximation

A. Work out (i)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 ÷ 3.4L6: (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

Week 7 Name: ……………………………… Due in date: …………

B. Work out (i)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/ RoundingAt 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.

Please use the right hand side page for all your working out and answers unless told otherwise.

B. Do all of part B and the L8 question below:L8: Fcators(i) Look at these equations.

          48 = 3 × 2a                       56 = 7 × 2b

          What are the values of a and b?

(ii) 48 × 56 = 3 × 7 × 2c

          What is the value of c?

Homework 1.8: BIDMAS: Using correct order of operation

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/functionMachinesOH&taskID=1159

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=formulae/operationsOrderOH&taskID=1167

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow4Calculator&taskID=4

A. Function Machines

B. Order of Operations (BIDMAS)

C. Using calculator efficiently (including power and brackets keys)

Week 8

Mymaths.co.uk Homework

Name: ……………………………… Due in date: …………

Homework 1.9: Probability

A. 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: VowelsA 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?

Week 9 Name: ……………………………… Due in date: …………

C. Do (i)The L6 question above (Vowels);(ii)The L7 question above (Expected number of outcomes) And the L8 8 question below:L8: PotsJohn makes two clay pots. Each pot is fired independently.The probability that a pot cracks while being fired is 0.03.(i) Calculate the probability that both of John’s pots crack while being fired.    Show your working.(ii) Calculate the probability that only one of John’s pots cracks while being fired.     Show your working.

Vowel A E I O UProbability 0.08 0.13 0.07 0.08 0.03

Result Win Draw Lose

Probability 0.6 0.3

B. Do all of part A 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.

Please use the right hand side page for all your working out and answers unless told otherwise.

Homework 1.10: Pythagoras’ theorem and trigonometry

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=pythagoras/pythagorasTheoremOH&taskID=1112

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow17pythagoras&taskID=217

A. Pythagoras’ theorem (includeslength of linesegment)

B. Pythagoras’ theorem (includes length of line segment)

C. Trig missing sides

Week 10

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)

Name: ……………………………… Due in date: …………

Mymaths.co.uk Homework Equations

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=trigonometry/trigsidesOH&taskID=1133

Extension: Trig missing angles.

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=trigonometry/triganglesOH&taskID=1131

Homework 1.11: Angles

A. Angles: Calculate the value of x in each case. Give reasons.(i) (ii) (iii) (iv)

L6: Four anglesLook at the diagram, made from four straightlines.The lines marked with arrows are parallel.Work out the sizes of the angles marked with letters. Give reasons.

B. Alternate, corresponding and interior angles.Calculate the sizes of the angles marked x and y in the diagrams below:Give reasons.(i) (ii) (iii)

L7: Triangle(iv) In the triangle on the right, calculate the value of a. Give reasons.

Week 11 Name: ……………………………… Due in date: …………

C. Do all of part B and do the L8 question below:L8: ProofProve that the exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices. [Hint: Draw and use a diagram].

Please use the right hand side page for all your working out and answers unless told otherwise.

Homework 1.12: Construction and lociYou need ruler, pencil, protractor and a pair of compasses to complete this homework.

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=constructions/constructTrianglesOH&taskID=1090

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=constructions/constructOH&taskID=1089

A. Constructing triangles.

B. Constructing shapes.

C. Constructing loci.

Week 12

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)

Name: ……………………………… Due in date: …………

Mymaths.co.uk Homework

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow9equations&taskID=209

Homework 1.13: Key assessment prep.

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

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow11Probability&taskID=11

Fractions, decimals and percentages

Area of shapes

Probability

Week 13

Lines and angles.

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

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow9equations&taskID=209

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow10graphs&taskID=210

Equations and inequalities

Coordinates and graphs

Mymaths.co.uk HomeworkThis 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)

Homework 1.14: Enlargement and similarity

A. Enlarging shapes

L6: EnlargementWhere is the centre of enlargement in these diagrams? Mark each one with a cross.

B. Enlargement: Enlarge these shapes by the given SF and centre.(i) (ii) (iii) (iv)

C. Do part B and the L8 question belowL8: Linear and area scale factors.(i)A shape has an area of 20cm2, it is enlarged by a scale factor of 4. What is the area of the new shape?(ii)A 3D object is enlarged by a scale factor of 2. It originally has a volume of 22cm3, what is the volume of the new object?

Week 14 Name: ……………………………… Due in date: …………Please use the right hand side page for all your working out and answers unless told otherwise.

Homework 1.15: Key assessment review

Homework will be set based on the key assessment. You will be directed to which areas of your key assessment you need to revisit.

Week 15