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Year 7 Maths Homework – Autumn term

Year 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.

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Year 7 Maths Homework – Autumn term

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  1. Year 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. • The Key Assessment is taken in the last 3 weeks of term and will include a selection from all topics this term, as well as others from throughout the year. • 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!) • 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 triangle (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)

  2. Name: …………………………………………………. Date: …………………….. Week 1 Homework 1.1 : Indices (powers). A.Work out : (i) 2 x 2 x 2 (ii) 3 x 3 (iii) 1 x 1 x 1 x 1 x 1 (iv) 5 x 5 x 5 (v) 10 x 10 x 10 x 10 x 10 x 10 (vi) 64 Level 4 Jo said 4³ = 12. Is Jo right ? Explain. • B. Write (i) 3 x 3 x 3 as a power of 3. • (ii) 8 x 8 x 8 as a power of 8. • (iii) 2 x 2 x 2 x 2 x 2 x 2 as a power of 2. • (iv) 10 x 10 x 10 x 10 x 10 x 10 x 10 as a power of 10. • (v) 7 x 7 x 7 x 9 x 9 x 9 x 9 as a power of 7 and 9. • Level 5: • Work out • 4² (ii) 25 (iii) 34 (iv) 05 (v) 5 cubed (vi) 3² x 106 • Which is larger (i) 2³ or 3² ? Explain. (ii) 4³ or 8²? Explain. • C. Work out • 4² (ii) 25 (iii) 34 (iv) 05 (v) 5 cubed (vi) 3² x 106 • 2. Which is larger (i) 2³ or 3² ? Explain. (ii) 4³ or 8²? • Explain. • Level 6 • If 2³ x 8 x 4 = 2n , what is the value of n?

  3. Name: ……………………………………… Date: ………… Week 2 Homework 1.2 : Factors, multiples and prime numbers A.Write out : (i) All the factors of 10 (ii) All the factors of 18 (iii) The 1st 5 multiples of 7 iv) The 1st 5 multiples of 15 (v) The 1st 5 prime numbers Level 4 (i) Is 3 a factor of 30. Explain how you know. (ii) I am thinking of a number that is greater than 3. My number is a factor of 30. What could my number be?    Give an example. B. Complete the prime factorisation of i) 120 ii) 400 120 400 12 10 40 10 2 Level 5: Error in question Marrie wrote: 594 x 25 = 14 852. Without doing the calculation, how can you tell her answer is wrong? C. Find the HCF and LCM of 90 and 120 using prime factorisation method. Level 6Expressions           In this question, n stands for any whole number. For the expression 2n, tick ( ) the correct statement below. 2nmust be odd.            2nmust be even.           2ncould be odd or even.           Explain your answer. (b)     For the expression 3n, tick ( ) the correct statement below. 3nmust be odd.   3nmust be even.     3ncould be odd or even.           Explain your answer.

  4. Week 3 Mymaths.co.uk Homework Homework 1.3: Negative numbers – you may only need to do one (A=easiest, C=Hardest) your teacher will tell you which one. A. Negative Numbers 1 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=negatives/negatives1OH&taskID=1069 B. Negative Numbers 2 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=negatives/negatives2OH&taskID=1068 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow2NegativeNumbers&taskID=62 C. Negative Numbers OW

  5. Week 4 Mymaths.co.uk Homework Homework 1.4: Properties of shapes – you may only need to do one (A=easiest, C=Hardest) your teacher will tell you which one. A. Describing Shapes http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=shape/describingShapesOH&taskID=1390 B. Properties of triangles http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=shape/trianglesOH&taskID=1130 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=shape/LinesQuadsOH&taskID=1102 C. Lines and quadrilaterals Plans and elevations Plans and elevations – an extension task (use the lesson section to explore this task).

  6. Name: ……………………………………….. Due in date: ………… Homework 1.5 – Angles Week 5 • A. What types of angles are these (acute, obtuse, reflex) • i) ii) iii) • Measure each of the angles in part A with a protractor. • Level 4: Angles in a square • (a)     How many degrees are there in a right angle?  …….... degrees • (b)     The diagram shows a square. •           How many degrees is angle a?  Explain. • B. Calculate the missing angles: • i) ii) (iii) • Calculate the value of x. • L5: Drawing triangles • (a)     Tina measures the angles in a triangle. • The sketch shows her results. • How can you tell that Tina has • made a mistake?     • Not drawn accurately • C. Do all of part B and the L6 question below. • L6: Angles again • The diagram shows a rectangle. • Work out the size of angle a • You must show your working. 80o 30o ?o ?o ?o

  7. Week 6 Name: ……………………………… Due in date: ………… Mymaths.co.uk Homework Homework 1.6: Constructing shapes - 1 – you may only need to do one (A=easiest, C=Hardest) Your teacher will tell you which section you need to do. A. Constructing Triangles http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=constructions/constructTrianglesOH&taskID=1090 B. Constructing Shapes http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=constructions/constructOH&taskID=1089 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow16construct&taskID=216 C. Construction Online Worksheet

  8. Week 7 Name: ……………………………… Due in date: ………… Homework 1.7: Constructing shapes - 2 – you may only need to do one section (A=easiest, C=Hardest) Your teacher will tell you which section you need to do. A. Constructing lines, angles and shapes. • Construct the following accurately: • A line segment of 8 cm long. (ii) A line segment of 53 mm long • An angle of size 80°. (iii) An angle of size 155°. • (iv) Construct this triangle accurately: • Measure and state the length • of the third side. B. Constructing Shapes Construct these triangles accurately: L6: Ferry Measure and state the length of the third side. Here is a plan of a ferry crossing. Draw the accurate scale drawing of the ferry crossing. Use a scale of 1 cm to 20 m. C. Constructing shapes Do all of part B and the L6: Isosceles triangle question below: Using compasses, draw accurately the triangle with sides 5 cm, 5 cm and 7 cm. Measure and state the size of the three interior angles. What do you notice?

  9. Name: ……………………………… Due in date: ………… Week 8 Homework 1.8 – Expressions and Formulae- simplifying • A. Simplify these • i) a + a + a + a (ii) b + b + b (iii) 5c + 3c • iv) 10d – 4d (v) 9p – p (vi) 3n + 4n + n • L5: Simplify •     Write these expressions as simply as possible. •      (i) n + 1 + 2          (ii) 3n + 5n      (iii)   2n + 7 + n + 2         • B. Multiply these terms together • i) 4a x 2 (ii) 6b x 10 (iii) 2c x 5 • iv) 5d x 3 (v) 4e x 20 • L5: Simplify •     Write these expressions as simply as possible. •       (i) n + 1 + 2          (ii) 3n + 5n      (iii)   2n + 7 + n + 2    • Multiply (5n + 2) by 3. •      Write your answer without any brackets. • C. Multiply these terms together: • (i) a x a (ii) b x a (iii) c x c x c • (iv) 2d x 3d (v) 5m x 2n (vi) 4a x 5a x 2a • Multiply (5n + 2) by 3. •      Write your answer without any brackets. L6: Brackets Jenny wants to multiply out the brackets in the expression 3(2a + 1)           She writes: 3(2a + 1) = 6a + 1         Show why Jenny is wrong.

  10. Name: ……………………………… Due in date: ………… Week 9 Homework 1.9 – Equations and formulae: Substitution • Substitute a = 3 and b = 2 into the following: • i) 2a= ii) 5b = iii) ab = • iv) 2ab = v) a-b vi) b-a = • L4: a and b • Look at this equation • 1. Write a pair of numbers for a and b to make the equation true. • a = ...............................     b = ............................... • 2. Now write a different pair of numbers for a and b to make the equation true. • a = ...............................     b = ............................... B. Substitute c = 10 and d = 7 into the following: i) cd = ii) 5cd = iii) c-d = iv) 3c-2d = v) 3d + 2c vi) d-c = L5: Values Look at the three expressions below. When k= 10, what is the value of each expression C. Substitute e = 5 and f = 4 into the following: i) e2 = ii) f2 = iii) ef2 = iv) e2-f2 = v) e3 vi) f3 = L6: Value        Work out the value of (a + b)(a – b) when a = 6.5 and b = 3.5.

  11. Name: ……………………………… Due in date: ………… Week 10 Mymaths.co.uk Homework Week 10 Homework 1.10: Sequences – you only need to do one (A=easiest, C=Hardest) http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=sequences/sequencesOH&taskID=1173 A. Sequences http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=sequences/sequencesOH&taskID=1173 B. Nth Term http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow7Sequences&taskID=7 C. Sequences Online Worksheet

  12. Name: ……………………………… Due in date: ………… Week 11 Homework 1.11 – Fractions, decimals and percentages • A. Write these percentages as fractions: • 29% (ii) 40% (iii) 60% (iv) 1% (v) 20% • Change these percentages to decimals: • 82% (ii) 16% (iii) 20% (iv) 3% (v) 2% • Change these fractions to percentages: • ½ (ii) ⅓ (iii) ¼ (iv) ⅔ (v) ¾ • L5: Double scale: The scale shows both percentages and decimals. • Fill in the missing decimals in the gaps below.(i) 60% =   (ii) 30% = m(iii)   3% = B. Copy and complete these tablee of equivalent percentages, fractions and decimals. L6: Fortieths Look at this information: Use this information to write the decimals for these two fractions (i) (ii) • Do all of part B above and the L6 question below • Explain why 9   is not the same as 9.33

  13. Name: ……………………………… Due in date: ………… Week 12 Mymaths.co.uk Homework Homework 1.12: Percentages of amounts – you only need to do one (A=easiest, C=Hardest) http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=percentages/percentagesamountsOH&taskID=1030 A. Percentage of Amounts 1 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=percentages/percentageSumsOH&taskID=1031 B. Percentage of Amounts 2 C. Percentage Change 1 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=percentages/PercentageChangeOH&taskID=1060

  14. Name: …………………………………………. Due in date: ………… Homework 1. 13 – Ratio and Proportion Week 13 • Write the ratio of Grey to White in these boxes in their simplest form: • L4: Shopping •           Some people in a supermarket are shopping for food. • 100g of cheese costs 46p. Peter buys 250g of the cheese. •           How much does he pay? • B. Write these ratios in their simplest form: • i) 40:10 ii) 5:35 iii) 18:12 • iv) 27:45 v) 33:21 vi) 100:80:60 • L5: Screenwash • Screenwash is used to clean car windows. To use Screenwash you mix it with • water. • (a) In winter, how much water should I mix with 150ml of Screenwash? • (b) In summer, how much Screenwash should I mix with 450ml of water? • C. Divide the amounts in the given ratio • i) £72 4:5 ii) £800 1:7 iii) £55 6:5 • Cutting a cake •           Ben is 10 years old.          Cindy is 15 years old.          Tom is 20 years old. • They are going to cut a cake into 3 slices from the centre. • The size of the slices will be proportional to their ages. • What will the angle at the centre of Ben’s slice be?

  15. Name: ……………………………… Due in date: ………… Homework 1.14: Revision for Key Assessment: Choose as many tasks as you can from the list below: Algebra Formulae Proportion Multiples, LCM HCF Angles Sequences Percentages Fractions Week 14 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow6AlgebraicExp&taskID=6 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=formulae/formulaeOH&taskID=1158 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow5Ratio&taskID=5 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=lcm/lcmOH&taskID=1034 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=lcm/hcfOH&taskID=1044 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow13Angles&taskID=73 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow7Sequences&taskID=7 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/ow2Fractions&taskID=2

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