S2 General Mixed Homeworks 01 ------ S1 Revision 02 ------ Pythagoras 03 ------ Circle

1. S2 General Mixed Homeworks 01 ------ S1 Revision 02 ------ Pythagoras 03 ------ Circle 04 ----- Algebra 05 ----- Integers 06 ----- Charts and Tables 07 ----- Number Patterns 08 ----- Area and Volume 09 ----- Fractions, Decimals and Percentages 10 ----- Brackets and Equations 11 ----- Scientific Notation 12 ------ Money, Bills and Finance 13 ------ Angles and Circle 14 ------ Trigonometry 15 ------ TDS 16 ------ Proportion and Variation 17 ------ More Statistics 18 ------ Factors

2. General Maths Mixed Homework Exercise 1 General Maths Mixed Homework Exercise 1 1) Evaluate, 1) Evaluate, a) 345 + 187 b) 8324 - 5776 a) 345 + 187 b) 8324 - 5776 c) 2387 x 6 d) 3808 8 c) 2387 x 6 d) 3808 8 2) Convert these times into 24 hour clock 2) Convert these times into 24 hour clock a) 3:17 am b) 3:17 pm c) 11:43 pm a) 3:17 am b) 3:17 pm c) 11:43 pm d) 11:43 am e) 12:00 am f) 12:00 pm d) 11:43 am e) 12:00 am f) 12:00 pm Solve for x. Solve for x. 3) 3) x x b) 6x = 54 b) 6x = 54 a) x + 7 = 22 a) x + 7 = 22 c) = 5 c) = 5 3 3 4) Convert these times into 12 hour clock 4) Convert these times into 12 hour clock a) 0942 b) 2038 c) 1032 a) 0942 b) 2038 c) 1032 d) 0006 e) 2317 f) 1200 d) 0006 e) 2317 f) 1200 5) 5) 4 cm 4 cm 13 cm 13 cm a) Find the area of this rectangle. a) Find the area of this rectangle. b) Find the perimeter of this rectangle. b) Find the perimeter of this rectangle. 6) How long are each of these time intervals ? 6) How long are each of these time intervals ? a) 2:15 pm to 5:40 pm ? a) 2:15 pm to 5:40 pm ? b) 10:40 am to 3:25 pm ? b) 10:40 am to 3:25 pm ? c) 6:35 pm to 8:25 am ? c) 6:35 pm to 8:25 am ?

3. General Maths Mixed Homework Exercise 2 General Maths Mixed Homework Exercise 2 1) Evaluate, 1) Evaluate, a) 76 x 30 b) 9 400 200 c) 17 x 4000 a) 76 x 30 b) 9 400 200 c) 17 x 4000 d) 8680 70 e) 843 x 900 f) 84 000 3000 d) 8680 70 e) 843 x 900 f) 84 000 3000 2) On the same Saturday in London there were 43 568 people at Stamford Bridge, 58 457 at the Emirates Stadium and 34 776 at Upton Park. 2) On the same Saturday in London there were 43 568 people at Stamford Bridge, 58 457 at the Emirates Stadium and 34 776 at Upton Park. a) How many people attended these three games in total ? a) How many people attended these three games in total ? b) Find the difference between the Emirates Stadium and the Stamford Bridge attendances. b) Find the difference between the Emirates Stadium and the Stamford Bridge attendances. c) One in eight people at the Upton Park were not West Ham fans. How many people at that match were West Ham fans ? c) One in eight people at the Upton Park were not West Ham fans. How many people at that match were West Ham fans ? 3) Find the length of the unknown side in each of these right angled triangles. 3) Find the length of the unknown side in each of these right angled triangles. a) b) a) b) x cm x cm x m x m 5 cm 5 cm 6 m 6 m 8 m 12 cm 8 m 12 cm 4) Find the perimeter of these triangles to one decimal place. 4) Find the perimeter of these triangles to one decimal place. b) b) a) a) 19 cm 19 cm 5 m 5 m 8 m 7 cm 8 m 7 cm 5) Which of these sums will have the bigger answer. 5) Which of these sums will have the bigger answer. or or 312465 473 312466 474 ? 312465 473 312466 474 ? Explain your answer. Explain your answer.

4. General Maths Mixed Homework Exercise 3 General Maths Mixed Homework Exercise 3 1) 1) It costs £23 for one person to enter The Great North Run. How much would it cost for a charity to enter four hundred people for this race ? It costs £23 for one person to enter The Great North Run. How much would it cost for a charity to enter four hundred people for this race ? 2) Find the length of the unknown side in each of these right angled triangles, giving your answers to one decimal place. 2) Find the length of the unknown side in each of these right angled triangles, giving your answers to one decimal place. a) b) a) b) 20 cm 20 cm h m h m 7 cm 7 cm 11 m 11 m 13 m 13 m k cm k cm 3) Find the area of this shape. 3) Find the area of this shape. 13 cm 13 cm 12 cm 12 cm 4) 4) Calculate the area and the circumference of these circles. Calculate the area and the circumference of these circles. . . . . a) a) b) b) 12 cm 12 cm 9 m 9 m 5) 5) Find the area of this shape. Find the area of this shape. 13 cm 13 cm 18 cm 18 cm 6) 6) 480 people work in an office. Four fifths of them come to work by car. An eighth of them travel by bus. The rest of the staff walk to work. How many people walk to work. 480 people work in an office. Four fifths of them come to work by car. An eighth of them travel by bus. The rest of the staff walk to work. How many people walk to work.

5. General Maths Mixed Homework Exercise 4 General Maths Mixed Homework Exercise 4 1) 1) Find the area of the shaded shape. Find the area of the shaded shape. 12 cm 12 cm 8 cm 8 cm 23 cm 23 cm 2) 2) Find the perimeter of this shape. Give your answer to 1 decimal place. Find the perimeter of this shape. Give your answer to 1 decimal place. 8.5 cm 8.5 cm 3.4 cm 3.4 cm a) the area of this shape 3) Find, a) the area of this shape 3) Find, b) the perimeter of this shape b) the perimeter of this shape 14 cm 14 cm 4) 4) To hire a car costs £25 a day and a £40 deposit. How much does it costs to hire a car for 14 days? To hire a car costs £25 a day and a £40 deposit. How much does it costs to hire a car for 14 days? 5) Collect like terms: 5) Collect like terms: 4y + 3x - y 4y + 3x - y 6x + x 6x + x a) b) a) b) 12a – 3b + 4a + 3b 12a – 3b + 4a + 3b 8q + 3p – 12q - p 8q + 3p – 12q - p c) d) c) d) For a = 5, b = 8, c = 2 and d = 3 For a = 5, b = 8, c = 2 and d = 3 6) 6) 12b – 4d 12b – 4d 6a + 9 6a + 9 a) b) a) b) ab ab 2c2 + 3 2c2 + 3 c) d) c) d) 6acd 6acd 100 - b2 100 - b2 e) f) e) f) 7) 7) Find Find a) 7.4 4 b) 239.6 5 a) 7.4 4 b) 239.6 5

6. General Maths Mixed Homework Exercise 5 General Maths Mixed Homework Exercise 5 1) Multiply out the brackets and solve. 1) Multiply out the brackets and solve. a) 3(x – 2) = 12 4(x + 7) = 44 2(x – 4) = 14 a) 3(x – 2) = 12 4(x + 7) = 44 2(x – 4) = 14 b) b) c) c) 2) 2) Find the area of the shaded shape. Find the area of the shaded shape. 9 cm 9 cm 6 cm 6 cm 17 cm 17 cm 3) Find, 3) Find, a) 71 - 8·43 b) 192·6 500 a) 71 - 8·43 b) 192·6 500 c) 0•086 x 60 d) 60% of 730 m c) 0•086 x 60 d) 60% of 730 m 4) Find, 4) Find, c) 20 + (-12) a) 7 - 16 b) (-6) + 15 c) 20 + (-12) a) 7 - 16 b) (-6) + 15 5) Find the shortest distance between these coordinate points. Give your answers correct to one decimal place. 5) Find the shortest distance between these coordinate points. Give your answers correct to one decimal place. a) (1, 2) and (6, 7) b) (3, -2) and (10, 4) a) (1, 2) and (6, 7) b) (3, -2) and (10, 4) 6) Find, 6) Find, a) (13) x 8 b) 73 (-4) a) (13) x 8 b) 73 (-4) c) 9 + 5 x 4 d) (-8) – 30 6 c) 9 + 5 x 4 d) (-8) – 30 6 7) Find the area of this isosceles triangle. 7) Find the area of this isosceles triangle. 5 cm 5 cm 5 cm 5 cm 8 cm 8 cm

7. General Maths Mixed Homework Exercise 6 General Maths Mixed Homework Exercise 6 1) 1) Expand and simplify, Expand and simplify, b) 6 (a + 3) + a - 7 b) 6 (a + 3) + a - 7 a) 4 (x + 7) - 3x + 13 a) 4 (x + 7) - 3x + 13 c) 3 (4s + 5) + 7 (3s + 2) d) 9 (6w + 3) - 7 (4s + 1) c) 3 (4s + 5) + 7 (3s + 2) d) 9 (6w + 3) - 7 (4s + 1) 2) The ages of the members of a local gym are as follows, 2) The ages of the members of a local gym are as follows, 27 23 32 37 30 19 35 28 43 38 26 27 23 32 37 30 19 35 28 43 38 26 40 35 32 18 24 24 20 38 32 34 23 40 35 32 18 24 24 20 38 32 34 23 Show this data on an ordered stem-and-leaf diagram. Show this data on an ordered stem-and-leaf diagram. 3) Use your calculator to do these divisions. Round your answer to 2 decimal places. 3) Use your calculator to do these divisions. Round your answer to 2 decimal places. a) 1428 ÷ 19 b) 33958 ÷ 600 c) 529 ÷ 38 d) 87 ÷ 16 a) 1428 ÷ 19 b) 33958 ÷ 600 c) 529 ÷ 38 d) 87 ÷ 16 This pie chart shows what happened to S6 after they left school. There were 80 pupils in the year. This pie chart shows what happened to S6 after they left school. There were 80 pupils in the year. 4) 4) • How many pupils: • were unemployed? • got a full time job? • went to University? • got a part time job? • went to college? • How many pupils: • were unemployed? • got a full time job? • went to University? • got a part time job? • went to college? Unemployed Unemployed Full time job Full time job 135o 135o 45o 45o Part time Part time 54o 54o College College Uni Uni An S3 class were asked which kind of pet they had. The results are shown in the table below. An S3 class were asked which kind of pet they had. The results are shown in the table below. 5) 5) Pet Frequency Pet Frequency Dog Dog 9 9 Cat Cat 7 7 Fish Fish 3 3 Mice Mice 2 2 Other Other 5 5 Draw a bar chart to display this data. Draw a bar chart to display this data.

8. General Maths Mixed Homework Exercise 7 General Maths Mixed Homework Exercise 7 1) 1) a) Find the product of 8 and 7564. a) Find the product of 8 and 7564. b) Find the difference between 8034 and 5769. b) Find the difference between 8034 and 5769. c) Find the sum of the answer to a) and the answer to b). c) Find the sum of the answer to a) and the answer to b). 2) 2) Evaluate, Evaluate, c) 7.64 x 5 c) 7.64 x 5 a) 6.7 + 3.86 b) 22.3 - 8.74 a) 6.7 + 3.86 b) 22.3 - 8.74 3) a) Find a formula that links y to x. 3) a) Find a formula that links y to x. x x 1 2 3 4 5 1 2 3 4 5 y y 16 20 16 20 4 8 12 4 8 12 b) Find y if x = 13. b) Find y if x = 13. c) Find x if y = 168. c) Find x if y = 168. 4) 4) Find the perimeter of these triangles to one decimal place. Find the perimeter of these triangles to one decimal place. b) b) a) a) 58 cm 58 cm 21 m 21 m 37 m 35 cm 37 m 35 cm a) the area of this shape a) the area of this shape 5) Find, 5) Find, b) the perimeter of this shape b) the perimeter of this shape 28 cm 28 cm 6) 6) The circumference of a circle is 163•28 mm. The circumference of a circle is 163•28 mm. a) a) Calculate the diameter of this circle. Calculate the diameter of this circle. b) Calculate the radius of this circle. b) Calculate the radius of this circle.

9. General Maths Mixed Homework Exercise 8 General Maths Mixed Homework Exercise 8 1) a) Find a formula that links y to x. 1) a) Find a formula that links y to x. x x 1 2 3 4 5 1 2 3 4 5 y y 17 20 8 11 14 17 20 8 11 14 b) Find y if x = 11. b) Find y if x = 11. c) Find x if y = 95. c) Find x if y = 95. 2) 2) Find the volume of the cuboid. Find the volume of the cuboid. 7 cm 7 cm 8 cm 8 cm 13 cm 13 cm 3) Find the area of each of these shapes. 3) Find the area of each of these shapes. a) b) c) a) b) c) 19 cm 19 cm 5 m 15 cm 5 m 15 cm 8 cm 8 cm 6 cm 6 cm 12 m 12 m 4) Find the perimeter of this shape. Give your answer to one decimal place. 4) Find the perimeter of this shape. Give your answer to one decimal place. 9 cm 9 cm 5 cm 5 cm 16 cm 16 cm 5) 5) Round these numbers as each question indicates. Round these numbers as each question indicates. b) 312.206 to 2 d.p. a) 67.845 to 1 d.p. b) 312.206 to 2 d.p. a) 67.845 to 1 d.p. d) 5723.6632 to 1 d.p. c) 4.97613 to 2 d.p. d) 5723.6632 to 1 d.p. c) 4.97613 to 2 d.p.

10. General Maths Mixed Homework Exercise 9 General Maths Mixed Homework Exercise 9 1) 1) Calculate the volume of this cuboid in litres. Calculate the volume of this cuboid in litres. 40 cm 40 cm 30 cm 30 cm 90 cm 90 cm 2) 2) Find the area of this shape. Find the area of this shape. 17 m 17 m 15 m 15 m 3) 3) Change these percentages into decimals and fractions. Change these percentages into decimals and fractions. a) 21% b) 90% c) 3% d) 24% e) 6% a) 21% b) 90% c) 3% d) 24% e) 6% 4) 4) A travel agent decides to reduce the price of all holidays by 32%. A trip to the Bahamas originally cost £3600. Find the new price of this holiday. A travel agent decides to reduce the price of all holidays by 32%. A trip to the Bahamas originally cost £3600. Find the new price of this holiday. 5) Calculate: 5) Calculate: 1 1 a) a) b) b) 75% of £2108 75% of £2108 33 % of $2754 33 % of $2754 3 3 d) d) c) c) 80% of 86p 80% of 86p 72% of €520 72% of €520 6) 6) Adam earns £18 000 per year. He receives a 5•4% pay rise. How much does Adam earn now? Adam earns £18 000 per year. He receives a 5•4% pay rise. How much does Adam earn now? 7) a) Find a formula that links y to x. 7) a) Find a formula that links y to x. x x 1 2 3 4 5 1 2 3 4 5 y y 17 20 17 20 8 11 14 8 11 14 b) Find y if x = 11. b) Find y if x = 11. c) Find x if y = 95. c) Find x if y = 95.

11. General Maths Mixed Homework Exercise 10 General Maths Mixed Homework Exercise 10 1) 1) Find Find a) 40% of £2300 b) 8% of 2380 km a) 40% of £2300 b) 8% of 2380 km c) 67% of $5900 d) 72% of 9670 kg c) 67% of $5900 d) 72% of 9670 kg 2) Solve 2) Solve a) 3x – 7 = 20 4x + 3 = 39 2x – 9 = 19 a) 3x – 7 = 20 4x + 3 = 39 2x – 9 = 19 b) b) c) c) 3) 3) Ben invested £5400 in a bank account which offers 3% interest pa. How much money will Ben have in his account after 3 months? Ben invested £5400 in a bank account which offers 3% interest pa. How much money will Ben have in his account after 3 months? 4) 4) Calculate the following. Calculate the following. a) 7·7 x 500 b) 375 ÷ 60 c) 9·82 x 70 a) 7·7 x 500 b) 375 ÷ 60 c) 9·82 x 70 d) 252 ÷ 40 e) 6·75 x 300 f) 59840 ÷ 8000 d) 252 ÷ 40 e) 6·75 x 300 f) 59840 ÷ 8000 5) 5) Multiply out the brackets and solve. Multiply out the brackets and solve. a) 3(x – 2) = 12 4(x + 7) = 44 2(x – 4) = 14 a) 3(x – 2) = 12 4(x + 7) = 44 2(x – 4) = 14 b) b) c) c) 6) 6) Evaluate, Evaluate, c) 7.64 x 5 c) 7.64 x 5 a) 6.7 + 3.86 b) 22.3 - 8.74 a) 6.7 + 3.86 b) 22.3 - 8.74 7) 7) Expand and simplify, Expand and simplify, b) 8 (c + 5) - c - 31 a) 8 (x + 3) - 5x + 41 b) 8 (c + 5) - c - 31 a) 8 (x + 3) - 5x + 41 c) 2 (5b + 2) + 3 (7b + 4) d) 6 (7s + 9) - 8 (5s + 6) c) 2 (5b + 2) + 3 (7b + 4) d) 6 (7s + 9) - 8 (5s + 6)

12. General Maths Mixed Homework Exercise 11 General Maths Mixed Homework Exercise 11 1) Convert these numbers into Scientific Notation. 1) Convert these numbers into Scientific Notation. a) 3000 b) 53 000 c) 874 a) 3000 b) 53 000 c) 874 d) 876 000 e) 3 400 000 f) 78 d) 876 000 e) 3 400 000 f) 78 2) Write out these numbers in full. 2) Write out these numbers in full. a) 8·3 x 104 b) 7·45 x 103 a) 8·3 x 104 b) 7·45 x 103 c) 5·97 x 105 d) 2·643 x 102 c) 5·97 x 105 d) 2·643 x 102 3) Round 7 674 · 328 to 3) Round 7 674 · 328 to a) the nearest 100 b) the nearest 10 a) the nearest 100 b) the nearest 10 c) one decimal place d) two decimal places c) one decimal place d) two decimal places 4) 4) Evaluate, Evaluate, a) 4∙7895 x 300 b) 74∙3 500 a) 4∙7895 x 300 b) 74∙3 500 5)a) Find a formula that links y to x. 5)a) Find a formula that links y to x. x x 1 2 3 4 5 1 2 3 4 5 y y 26 33 26 33 5 12 19 5 12 19 b) Find y if x = 15. b) Find y if x = 15. c) Find x if y = 187. c) Find x if y = 187. 6) Arrange these into ascending order. 6) Arrange these into ascending order. 8 3 1 1 8 3 1 1 a) ,0∙33, 34%, b) ,0∙13, 11%, a) ,0∙33, 34%, b) ,0∙13, 11%, 25 25 3 8 25 25 3 8 7) A man buys a bicycle for £180 and then sells it on for £216. 7) A man buys a bicycle for £180 and then sells it on for £216. a) Calculate the profit. a) Calculate the profit. b) Calculate the percentage profit. b) Calculate the percentage profit.

13. General Maths Mixed Homework Exercise 12 General Maths Mixed Homework Exercise 12 1) Write out these numbers in full. 1) Write out these numbers in full. a) 8·3 x 104 b) 7·45 x 103 a) 8·3 x 104 b) 7·45 x 103 c) 5·97 x 105 d) 2·643 x 102 c) 5·97 x 105 d) 2·643 x 102 2) Convert these numbers into Scientific Notation. 2) Convert these numbers into Scientific Notation. a) 0·32 b) 0·005 c) 0·078 a) 0·32 b) 0·005 c) 0·078 d) 0·000 093 e) 0·000 007 1 f) 0·000 000 07 d) 0·000 093 e) 0·000 007 1 f) 0·000 000 07 3) Copy and complete this electricity bill. 3) Copy and complete this electricity bill. Householder: P Stanton Householder: P Stanton Period: 01/02/07 - 01/03/07 Period: 01/02/07 - 01/03/07 UNITS CHARGES UNITS CHARGES 07012 07012 Present Reading Present Reading units @ 12•9p/unit units @ 12•9p/unit 06357 06357 Previous Reading Previous Reading + VAT (8%) + VAT (8%) Units used Amount due Units used Amount due 4) Mr Harris bought a bicycle for £60. He repaired and and then sold it for £84. 4) Mr Harris bought a bicycle for £60. He repaired and and then sold it for £84. a) Calculate his profit. a) Calculate his profit. b) Calculate his percentage profit. b) Calculate his percentage profit. 5) 5) An insurance company advertises annual buildings insurance at a fee of £2·88 per £1000 and annual contents insurance at a fee at £4·83. Find the price of insuring, An insurance company advertises annual buildings insurance at a fee of £2·88 per £1000 and annual contents insurance at a fee at £4·83. Find the price of insuring, a) A flat worth £145 000 with contents worth £23 000. a) A flat worth £145 000 with contents worth £23 000. b) A house worth £286 500 with contents worth £74 300. b) A house worth £286 500 with contents worth £74 300. 6) 6) The Davies family to go on holiday to France. They take £1300 spending money with them. In France they spend €1700. They convert their left over Euros back into UK money. Find how they will receive, giving your answer to the nearest penny. The Davies family to go on holiday to France. They take £1300 spending money with them. In France they spend €1700. They convert their left over Euros back into UK money. Find how they will receive, giving your answer to the nearest penny. £1 = €1·43 £1 = €1·43

14. General Maths Mixed Homework Exercise 13 General Maths Mixed Homework Exercise 13 1) Copy and complete this electricity bill. 1) Copy and complete this electricity bill. Householder: A Cropley Period: 01/02/07 - 01/03/07 Householder: A Cropley Period: 01/02/07 - 01/03/07 UNITS CHARGES UNITS CHARGES 08054 08054 Present Reading units @ 14•3p/unit Present Reading units @ 14•3p/unit 07295 07295 Previous Reading Previous Reading + VAT (8%) + VAT (8%) Units used Amount due Units used Amount due 2) A new PC is available for a cash price of £380. The shop also offers HP terms of a 20% deposit and instalments of £18 a month for a period of 2 years. 2) A new PC is available for a cash price of £380. The shop also offers HP terms of a 20% deposit and instalments of £18 a month for a period of 2 years. Find the Hire Purchase price of this PC. Find the Hire Purchase price of this PC. Calculate xo in each of these diagrams. Show your working. Calculate xo in each of these diagrams. Show your working. 3) 3) a) b) a) b) xo xo xo xo 39o 37o 39o 37o c) d) c) d) xo xo 44o 44o 62o 62o 123o 123o 54o 54o 48o 48o xo xo 4) 4) COPY the diagram and fill in all the missing angles. COPY the diagram and fill in all the missing angles. 123o 123o

15. General Maths Mixed Homework Exercise 14 General Maths Mixed Homework Exercise 14 1) Mr Hughes bought a car for £1500 and then sold it later for £900. 1) Mr Hughes bought a car for £1500 and then sold it later for £900. a) Calculate his loss. a) Calculate his loss. b) Calculate his percentage loss. b) Calculate his percentage loss. 2) A new three piece suite is available for a cash price of £2260. The shop also offers HP terms of a 15% deposit and instalments of £43·50 a month for a period of 5 years. 2) A new three piece suite is available for a cash price of £2260. The shop also offers HP terms of a 15% deposit and instalments of £43·50 a month for a period of 5 years. Find the Hire Purchase price of the suite. Find the Hire Purchase price of the suite. 3) Calculate xo in each of these diagrams. Show your working. 3) Calculate xo in each of these diagrams. Show your working. a) b) a) b) xo xo xo 132o xo 132o 31o 31o 4) Find the length of the side marked k cm. 4) Find the length of the side marked k cm. k cm k cm 28o 28o 13 cm 13 cm Find the size of the angle marked k o . Find the size of the angle marked k o . 5) 5) 11 cm 11 cm k o k o 28 cm 28 cm 6) Find the length of the side marked p cm. 6) Find the length of the side marked p cm. 24 cm 24 cm p cm p cm 31o 31o

16. General Maths Mixed Homework Exercise 15 General Maths Mixed Homework Exercise 15 Find the size of the angle marked r o . Find the size of the angle marked r o . 1) 1) 46 cm 46 cm r o r o 17 cm 17 cm Find the size of the angle marked p o . Find the size of the angle marked p o . 2) 2) 29 cm 29 cm 7 cm 7 cm p o p o 3) 3) Calculate the average speed of: Calculate the average speed of: a) a car which travels 80km in 2 hours. a) a car which travels 80km in 2 hours. b) a boat which travels 135 miles in 1 hour 30 minutes. b) a boat which travels 135 miles in 1 hour 30 minutes. c) a walker who covers 9•2 km in 2 hours 18 minutes. c) a walker who covers 9•2 km in 2 hours 18 minutes. 4) 4) Terry drives from his house to his Gran’s house. He stopped for petrol on the way, stayed at his Gran’s for a while and then drove home via a different route. Terry drives from his house to his Gran’s house. He stopped for petrol on the way, stayed at his Gran’s for a while and then drove home via a different route. Distance from home (km) Distance from home (km) 100 100 • How far away does Terry’s Gran stay? • How far away does Terry’s Gran stay? b) How long did Terry stop for petrol? b) How long did Terry stop for petrol? 50 50 c) Calculate his speed for both the outward and return journey. c) Calculate his speed for both the outward and return journey. d) Which part might have been done on the motorway? d) Which part might have been done on the motorway? 0 0 10:00am 11:00am 10:00am 11:00am 9:00am 9:00am 5) 5) A flight to Tenerife from Edinburgh takes 4 hours. The plane travels at 520 miles per hour. How far is it from Edinburgh to Tenerife? A flight to Tenerife from Edinburgh takes 4 hours. The plane travels at 520 miles per hour. How far is it from Edinburgh to Tenerife?

17. General Maths Mixed Homework Exercise 16 General Maths Mixed Homework Exercise 16 1) A car begins a journey at 8:50am and the journey ends at 12:05pm. The car completes a total of 364 km during this time. Find the average speed for this journey. 1) A car begins a journey at 8:50am and the journey ends at 12:05pm. The car completes a total of 364 km during this time. Find the average speed for this journey. 2) Find, 2) Find, 4 4 2 2 of 476 kg of 476 kg b) b) of £75 of £75 a) a) 7 7 5 5 d) 90% of 524 m d) 90% of 524 m c) 75% of £326 c) 75% of £326 3) A car is available for a cash price of £8400. The shop also offers HP terms of a 12% deposit and instalments of £240 a month for a period of 3 years. 3) A car is available for a cash price of £8400. The shop also offers HP terms of a 12% deposit and instalments of £240 a month for a period of 3 years. Find the Hire Purchase price of this car. Find the Hire Purchase price of this car. 4) Three cream cakes cost £4.14. How much would 5 cream cakes cost? 4) Three cream cakes cost £4.14. How much would 5 cream cakes cost? 5) Find the shortest distance between these coordinate points. Give your answers correct to one decimal place. 5) Find the shortest distance between these coordinate points. Give your answers correct to one decimal place. a) (-4, -8) and (3, -2) a) (-4, -8) and (3, -2) b) (3, -5) and (-6, 1) b) (3, -5) and (-6, 1) 6) It takes 4 cleaners 3 hours to clean an office. How long would it take 6 cleaners to clean the same office block? 6) It takes 4 cleaners 3 hours to clean an office. How long would it take 6 cleaners to clean the same office block? 7) A man buys a bicycle for £180 and then sells it on for £216. Calculate his percentage profit. 7) A man buys a bicycle for £180 and then sells it on for £216. Calculate his percentage profit. 8) Sue has enough food to feed her seven horses for 12 days. How many days will the food last if she has eight horses? 8) Sue has enough food to feed her seven horses for 12 days. How many days will the food last if she has eight horses?

18. General Maths Mixed Homework Exercise 17 General Maths Mixed Homework Exercise 17 1) A train leaves a station at 3:40pm and travels until 7:25pm. During this time the average speed of the train is 120 kmh-1. How far did the train travel during this journey ? 1) A train leaves a station at 3:40pm and travels until 7:25pm. During this time the average speed of the train is 120 kmh-1. How far did the train travel during this journey ? 2) Expand and simplify, 2) Expand and simplify, a) 5 ( p + 3 ) – 2p - 6 b) 6 ( a + 7 ) – 5a - 17 a) 5 ( p + 3 ) – 2p - 6 b) 6 ( a + 7 ) – 5a - 17 3) Arrange these into ascending order. 3) Arrange these into ascending order. 21 9 4 13 21 9 4 13 a) ,0∙77, 81%, b) ,0∙49, 53%, a) ,0∙77, 81%, b) ,0∙49, 53%, 25 20 5 25 25 20 5 25 4) Find the mean, median, range and mode for this data set. 4) Find the mean, median, range and mode for this data set. 72 85 83 85 80 87 85 71 72 85 83 85 80 87 85 71 5) 5) Calculate the volume of this cuboid in litres. Calculate the volume of this cuboid in litres. 70 cm 70 cm 50 cm 50 cm 130 cm 130 cm 6) A survey was carried to find out how many times a group of driver had changed their cars for a newer one. Find the mean number of changes per owner. 6) A survey was carried to find out how many times a group of driver had changed their cars for a newer one. Find the mean number of changes per owner. No. of changes ( x ) Frequency ( f ) x xf No. of changes ( x ) Frequency ( f ) x xf 1 5 1 5 2 7 2 7 3 4 3 4 4 3 4 3 5 1 5 1

19. General Maths Mixed Homework Exercise 18 General Maths Mixed Homework Exercise 18 1) A car travels completes a journey of 225 miles in 3 hours and 45 minutes. Find the average speed for this journey. 1) A car travels completes a journey of 225 miles in 3 hours and 45 minutes. Find the average speed for this journey. 2) 2) Expand and simplify, Expand and simplify, b) 6 (a + 3) + a - 7 a) 4 (x + 7) - 3x + 13 b) 6 (a + 3) + a - 7 a) 4 (x + 7) - 3x + 13 c) 3 (4s + 5) + 7 (3s + 2) d) 9 (6w + 3) - 7 (4s + 1) c) 3 (4s + 5) + 7 (3s + 2) d) 9 (6w + 3) - 7 (4s + 1) 3) Some coloured blocks are placed in a bag. Two of them are red, four of them are green, three of them are blue and one of them is yellow. The bag is shaken and one block is taken out at random. 3) Some coloured blocks are placed in a bag. Two of them are red, four of them are green, three of them are blue and one of them is yellow. The bag is shaken and one block is taken out at random. a) State the probability that this block is blue. a) State the probability that this block is blue. b) State the probability that this block is green. b) State the probability that this block is green. 4) It costs £18·69 to buy 7 pizzas from the supermarket for a party. Find the cost of buying 9 of these pizzas. 4) It costs £18·69 to buy 7 pizzas from the supermarket for a party. Find the cost of buying 9 of these pizzas. 5) 5) Factorise the following, Factorise the following, b) 6q + 18q2 a) 4x + 2 b) 6q + 18q2 a) 4x + 2 c) 12k - 27 d) 21 – 14w c) 12k - 27 d) 21 – 14w 6) 6) Calculate the missing angles in each triangle. Calculate the missing angles in each triangle. a) b) a) b) 53o 53o 15o 15o c) d) c) d) 89o 89o 32o 32o