Year 9 sets 3 to 7 Maths Homework – autumn term

Year 9 sets 3 to 7 Maths Homework – autumn term

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.

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 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)

Homework 1.1: Expressions

Week 1

Name: ……………………………… Due in date: …………

A. SimplifyWrite 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 ÷ 16nL5: Simplify:1.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(i)5(2e + 3)(ii)4(2x + 5) + 3(5x + 7) Factorise(i)6y + 2 (ii)8r + 12(iii)12mn + 6m

C. 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) 8r + 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.

Homework 1.2: Equations

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/equationsSimpleOH&taskID=1154

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

A. Simple equations

B. Equations with unknown on both sides

C. Equations, includes trial and improvement.

Week 2

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=gcseFoundation/ow9equations&taskID=209








Homework 1.3: Graphs

Week 3 Name: ………………………………………. Date: ………………

x 0 2 3y -1 1 3

x -1 0 2y 0 4 6

1 2 3 4 5 6 0

6

5

4

3

2

1

A

B

C

D

E

F

G

y

x

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

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.

x -2 -1 0 1 2 3

y

(i) y = 2x (ii) y = 3x - 2

x -1 0 1 2 3

y

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.


Homework 1.4: Formulae – substitution and rearranging.

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


A. Using function machines

B. Substitution 1

C. Substitution 2

Week 4



Name: ……………………………… Due in date: …………



Extension: Rearranging formulae

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=simplify/rearrangeOH&taskID=1171



http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=formulae/substitutingOH&taskID=1187







Homework 1.5: Fractions, decimals and percentagesA. (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.(i) 0.3 x £200 (ii) 25% of £200 (iii) x £200L5: 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

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

C. 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?


Homework 1.6: 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

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/addingFractionsOH&taskID=1017

A. (i) Proper and improper fractions

(ii) Equivalent fractions

B. Adding and subtracting fractions

C. Multiplying and dividing fractions

Week 6



Name: ……………………………… Due in date: …………


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

Extension:Mixed numbers

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/mixednosOH&taskID=1074













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 ÷ 3L5: (1) Season ticketI 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) Remainder999 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 (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


C. 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.

Homework 1.8: BIDMAS: Using correct order of operation


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: ProbabilityA. 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 hexagonL5: 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(i)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: 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?


C. Do all of part B and do the L7 question below:

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

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: Angles in lines and shapes

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=angles/anglesumsOH&taskID=1082

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=angles/exteriorOH&taskID=1100

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=angles/parallelOH&taskID=1109

A. Angles in lines and triangles

B. Angles in triangles and polygons

C. Angles in parallel lines

Week 10



attempt. (Your teacher will tell you which part(s) you should work up to).

Angles in parallel lines, polygons (includes bearings).

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow11Angles&taskID=211













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: ConstructionSally 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?

B. Construct these triangles using a ruler, compasses and protractor.[Hint: Sketch the triangle before drawing it accurately].(i)Triangle PQR: length PQ= 4cm, angle P= 120°, length PR= 6cm.(ii) Triangle ABC: length AB=6cm, angle A = 20°, angle B = 140°.(iii)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).(i)Draw a line segment 9 cm long. Using a pair of compasses, draw a perpendicular bisector of the line segment.(ii)Draw an angle of 80°. Using a pair of compasses, draw a bisector of the angle.

C.(i)Draw a line segment 9 cm long. Using a pair of compasses, draw a perpendicular bisector of the line segment.(ii)Draw an angle of 80°. Using a pair of compasses, draw a bisector of the angle.(iii)Make an accurate drawing of an equilateral triangle with sides 8 cm in length.(iv)Make an accurate drawing of the quadrilateral ABCD.

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

1 2 0 °

5 cm

4 cm

8 cmA B

C

D

D iag ram accu ra te ly d raw n

NOT


Homework 1.12: Area and 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

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow13area&taskID=213

A. Area Perimeter

B. Area of shapes

C. Area and perimeter (including circles)

Week 12



attempt. (Your teacher will tell you which part(s) you should work up to)

Extension:Volume and surface area.

1. Surface area of cuboidshttp://www.mymaths.co.uk/tasks/library/loadTask.asp?title=areas/netsOH&taskID=11072. Volumehttp://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow14Volume&taskID=214







http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=areas/netsOH&taskID=1107

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=areas/netsOH&taskID=1107

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow14Volume&taskID=214

http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow14Volume&taskID=214

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=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/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: Pythagoras’ theorem

A. Pythagoras’ theorem:(i)Copy and complete this table:(ii)What do you notice?(iii)Using the mymaths website or the BBC bitesize website or any other source, state in full what Pythagoras’ theorem says.L5: AreaCalculate the area of thesquare which has AC as oneof 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 calculationsIs it possible to have a triangle with theangles and lengths shown below?Show calculations then state Yes or No.

Week 14

a b c a² b² c²

3 4 5

5 7 12

10 24 26

4 5 6

6 8 10

7 cm

8 cm

A

B C


Year 9 sets 3 to 7 Maths Homework – autumn term

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Transcript of Year 9 sets 3 to 7 Maths Homework – autumn term