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Homework 1 – Foundation Revision Homework 2 – Percentages, Rounding Homework 3 – Direct Proportion, Area of Circle, Circumference of Circle, Wages Homework 4 – Evaluating Formulae Homework 5 – Foreign Exchange, Volume Homework 6 – Homework 7 - House Insurance, Hire Purchase Homework 8 Homework 9 – Revision for NAB (LO1 and LO2) Homework 10 – Revision for NAB (LO3 and LO4) Int 1 Maths Mixed Homework Exercise 1 1) 136 pupils and 8 teachers go on an excursion. Int 1 Maths Mixed Homework Exercise 1 1) C 136 pupils and 8 teachers go on an excursion. a) How many 42 seater coaches are needed? a) How many 42 seater coaches are needed? b) How many empty seats will there be? b) How many empty seats will there be? 2) Write in order, (smallest number first) 2) C Write in order, (smallest number first) C C 1•01, 0•08, 0•8, 1•011, 1•1, 1•08 3) 1•01, 0•08, 0•8, 1•011, 1•1, 1•08 3) A butcher sells fillet steak for £9•50 per kg and mince for 88p per kg. How much would 500 grams of fillet steak and 3 kg of mince cost? 4) A shopkeeper buys in a case of 48 cans of coke for £14•40. He hopes to make a 30% profit when he sells them. a) C A butcher sells fillet steak for £9.50 per kg and mince for 88p per kg. How much would 500 grams of fillet steak and 3 kg of mince cost? C 4) A shopkeeper buys in a case of 48 cans of coke for £14•40. He hope to make a 30% profit when he sells them. How much profit does he hope to make when he sells the whole case? a) How much profit does he hope to make when he sells the whole case? b) For how much must he sell each can to make this profit? b) For how much must he sell each can to make this profit? 5) Find the volume of this cuboid. 5) Find the volume of this cuboid. C C 8 cm C 8 cm 5 cm 12 cm 5 cm 12 cm 6) Find the area and perimeter of this shape. C 6) Find the area and perimeter of this shape. 6m 6m 5m 4m 9m C 5m 4m 9m Int 1 Maths Mixed Homework Exercise 2 1) Int 1 Maths Mixed Homework Exercise 2 Round 875•975 C 1) Round 875•975 C a) to the nearest whole number. a) to the nearest whole number. b) to the nearest 10. b) to the nearest 10. c) to the nearest 100. c) to the nearest 100. d) to two decimal places. d) to two decimal places. 2) A weekend break to Prague usually costs £432. The travel agents are having a sale. All holidays have 10% off. How much does it cost to go to Prague now? 2) A weekend break to Prague usually costs £432. The travel agents are having a sale. All holidays have 10% off. How much does it cost to go to Prague now? C 3) C 3) a) Plot the following points on a coordinate diagram. A(1,2) B(1,6) C(9,6) D(9,2) b) a) Plot the following points on a coordinate diagram. A(1,2) B(1,6) C(9,6) D(9,2) What shape do you get if you join the points A, B, C and D? b) What shape do you get if you join the points A, B, C and D? c) What are the coordinates of E, the middle of this shape? c) What are the coordinates of E, the middle of this shape? 4) Here are your S4 test results. In which subject did you do best in? 4) Here are your S4 test results. In which subject did you do best in? 5) C C History 83 100 French 16 20 History 83 100 French 16 20 Maths 42 50 Biology 18 25 Maths 42 50 Biology 18 25 Northern Bank Earn 4•5% interest pa on savings up to £3000 Earn 5•5% interest pa on savings over £3000 5) C Northern Bank Earn 4•5% interest pa on savings up to £3000 Earn 5•5% interest pa on savings over £3000 a) Jack places £2000 into a savings account. How much would he expect to have after one year? a) Jack places £2000 into a savings account. How much would he expect to have after one year? b) Shona places £3500 into a savings account. How much would she expect to have after one year? b) Shona places £3500 into a savings account. How much would she expect to have after one year? C C Int 1 Maths Mixed Homework Exercise 3 1) You place £2000 in a bank account which offers 3•7% interest pa. How much money is in the account after one year? 2) Set out and find. a) 3•14 x 400 b) 9•54 x 30 Int 1 Maths Mixed Homework Exercise 3 C Alison can type 250 words in 2 minutes. a) You place £2000 in a bank account which offers 3•7% interest pa. How much money is in the account after one year? 2) Set out and find. C c) 2•14 x 5000 3) 1) a) 3•14 x 400 b) 9•54 x 30 Alison can type 250 words in 2 minutes. How many words can she type in 7 minutes? a) How many words can she type in 7 minutes? b) How long would it take her to type 800 words? b) How long would it take her to type 800 words? 4) A PC normally costs £400. It is reduced to £320 in a sale. 4) A PC normally costs £400. It is reduced to £320 in a sale. a) C a) b) Express the fall in price as a percentage of the original price. b) Express the fall in price as a percentage of the original price. 5) Find the area of the shaded shape. 5) Find the area of the shaded shape. 8 cm 6) A car tyre has a radius of 35 cm. a) What distance does the car travel when the wheel makes one turn? What distance does the car travel when the wheel makes 50 turns? Give your answer in metres. b) 7) Calculate the actual fall in price. 8 cm 12 cm 30 cm Sally earns £5•60 an hour. Any overtime is paid at double time. One week Sally works 37 hours basic and 6 hours overtime. How much does Sally earn this week? C C Calculate the actual fall in price. C C c) 2•14 x 5000 3) C C C 12 cm 30 cm C 6) A car tyre has a radius of 35 cm. a) What distance does the car travel when the wheel makes one turn? What distance does the car travel when the wheel makes 50 turns? Give your answer in metres. b) C 7) Sally earns £5•60 an hour. Any overtime is paid at double time. One week Sally works 37 hours basic and 6 hours overtime. How much does Sally earn this week? C C Int 1 Maths Mixed Homework Exercise 4 1) 2) 3) Calculate: a) 75% of £332 c) 6% of 193 ml Int 1 Maths Mixed Homework Exercise 4 C 1) b) 90% of 892 kg d) 17•5% of $400 Mary works for a double glazing company. She earns 6•3% on all sales over £5000. One week Mary sells £24 000 worth of double glazing. How much commission does Mary earn? Thomas works in a supermarket. He earns £6•30 an hour. Overtime is paid at time and a half on a Saturday and double time on a Sunday. Thomas’ hours for last week are shown below. 2) C 3) C C b) 90% of 892 kg d) 17•5% of $400 Mary works for a double glazing company. She earns 6•3% on all sales over £5000. One week Mary sells £24 000 worth of double glazing. How much commission does Mary earn? Thomas works in a supermarket. He earns £6•30 an hour. Overtime is paid at time and a half on a Saturday and double time on a Sunday. Thomas’ hours for last week are shown below. C C Day Mon Tue Wed Thu Fri Sat Sun Day Mon Tue Wed Thu Fri Sat Sun Hours 8 0 4 8 0 6 5 Hours 8 0 4 8 0 6 5 Calculate Thomas’ wage for last week. 4) Calculate: a) 75% of £332 c) 6% of 193 ml For Calculate Thomas’ wage for last week. 4) a = 5, b = 8, c = 2 and d = 3 For a = 5, b = 8, c = 2 and d = 3 C a) 6a + 9 2 c) 2c + 3 d) 2 e) 100 – b 5) C b) 12b - 4d a) 6a + 9 b) 12b - 4d 2 c) 2c + 3 ab d) 2 f) 6acd e) 100 – b 5) Round 432•796 ab f) 6acd Round 432•796 C C a) to the nearest whole number. a) to the nearest whole number. b) to the nearest 10. b) to the nearest 10. c) to the nearest 100. c) to the nearest 100. d) to two decimal places. d) to two decimal places. 6) You get 6) You get 60 80 in a Maths test. What percentage is this? C 60 80 in a Maths test. What percentage is this? C Int 1 Maths Mixed Homework Exercise 5 1) To hire a car costs £25 a day and a £40 deposit. How much does it costs to hire a car for 14 days? 2) Michelle books a weekend break to Dublin. The flight costs €75 and her hotel costs €150. She also pre books a bus tour which costs €25. How much has Michelle spent before she even goes on holiday? Give your answer in pounds and pence. Exchange Rate: 3) Int 1 Maths Mixed Homework Exercise 5 C C 1) To hire a car costs £25 a day and a £40 deposit. How much does it costs to hire a car for 14 days? 2) Michelle books a weekend break to Dublin. The flight costs €75 and her hotel costs €150. She also pre books a bus tour which costs €25. How much has Michelle spent before she even goes on holiday? Give your answer in pounds and pence. £1 = €1•42 Find the volume of this shape. Exchange Rate: 3) C 5 cm £1 = €1•42 Find the volume of this shape. 3 cm Find the perimeter of this shape. 12 cm 4) C 8m C 3 cm Find the perimeter of this shape. 11 m 5) Calculate 17•5% of £14•40. Calculate 17•5% of £14•40. C 6) C 8m 11 m 5) C 5 cm 12 cm 4) C A company bonus scheme means that £63 400 will be shared equally between 200 members of staff. How much will each person receive? C 6) C A company bonus scheme means that £63 400 will be shared equally between 200 members of staff. How much will each person receive? 7) a) Find the product of 8 and 7564. Find the difference between 8034 and 5769. b) Find the difference between 8034 and 5769. 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). 7) a) Find the product of 8 and 7564. b) c) C C C Int 1 Maths Mixed Homework Exercise 6 1) Find the area of this shape. Int 1 Maths Mixed Homework Exercise 6 1) Find the area of this shape. C C 14 cm 14 cm 19 cm 19 cm 2) The perimeter of a rectangular room is given by the formula P = 2l + 2b Where l is the length and b is the breadth of the room. 2) The perimeter of a rectangular room is given by the formula C Find the perimeter of the room which has length 8•5m and breadth 7•8 m. 3) A bank has an account which offers 4•5% interest pa on all savings. Lucy places £4000 into this account. How much would Lucy expect to have in her account after 5 months? P = 2l + 2b Where l is the length and b is the breadth of the room. C Find the perimeter of the room which has length 8•5m and breadth 7•8 m. 3) A bank has an account which offers 4•5% simple interest pa on all savings. Lucy places £4000 into this account. How much would Lucy expect to have in her account after 5 months? C 4) Find the perimeter of this shape. C 4) Find the perimeter of this shape. C C 9m 5) Jack has an annual salary of £11846•88 9m 5) Jack has an annual salary of £11846•88 C Calculate his monthly pay. C Calculate his monthly pay. 6) Set out and find. 6) Set out and find. a) 56 x 800 b) 891 x 40 c) 2•84 x 7000 d) 49•8 ÷ 60 e) 732 ÷ 300 f) 8592 ÷ 2000 7) 300 people work in an office. 72% of them come to work by car. A sixth of them travel by bus. The rest of the staff walk to work. How many people walk to work? C C a) 56 x 800 b) 891 x 40 c) 2•84 x 7000 d) 49•8 ÷ 60 e) 732 ÷ 300 f) 8592 ÷ 2000 7) 300 people work in an office. 72% of them come to work by car. A sixth of them travel by bus. The rest of the staff walk to work. How many people walk to work? C C Int 1 Maths Mixed Homework Exercise 7 Int 1 Maths Mixed Homework Exercise 7 1) The table shows house insurance premiums. Rates per £1000 1) The table shows house insurance premiums. Rates per £1000 C Area 1 £1•53 Area 1 £1•53 Area 2 £2•07 Area 2 £2•07 Area 3 £2•68 Area 3 £2•68 How much would it cost to insure a house in Area 3 worth £110 500? 2) Consider the formula How much would it cost to insure a house in Area 3 worth £110 500? 2) Consider the formula Q = ab – c C Q = ab – c C C Calculate Calculate Q when a = 8•4, b = 6 and c = 12•5 Q when a = 8•4, b = 6 and c = 12•5 3) A new washing machine has a cash price of £389. It can be paid for by Hire Purchase. The terms are: 23% deposit and then 24 equal monthly payments of £15•50. How much more is the HP price than cash price? 3) A new washing machine has a cash price of £389. It can be paid for by Hire Purchase. The terms are: 23% deposit and then 24 equal monthly payments of £15•50. How much more is the HP price than cash price? 4) Find the area of this shape. 4) Find the area of this shape. C C C C 12 cm 12 cm 18 cm 18 cm 5) Calculate the net pay for this worker. 5) Calculate the net pay for this worker. C C Income Basic £1309·86 I. Tax £ 312·14 Overtime £112·93 Bonus / Total Superann. N.I. £63·85 £97·28 Total NET PAY Income Basic £1309·86 I. Tax £ 312·14 Overtime £112·93 Bonus / Total Superann. N.I. £63·85 £97·28 Total NET PAY Int 1 Maths Mixed Homework Exercise 8 1) Int 1 Maths Mixed Homework Exercise 8 Sandra earns £9•20 an hour. Overtime is paid at time and a half on a Saturday and double time on a Sunday. The hours Sandra worked last week are shown below. 1) C Mon Tue Wed Thu Fri Sat Sun Day Mon Tue Wed Thu Fri Sat Sun Hours 8 0 4 8 0 6 5 Hours 8 0 4 8 0 6 5 Calculate Sandra’s wage for last week. 2) Fiona got a mark of 17 out of 25 in her last Maths test. In her Physics test, she got a mark of 13 out of 20. In which test did she do best ? Explain your answer. 3) C Round 2872•784 to 3) a) the nearest 100 b) the nearest 10 c) one decimal place d) two decimal places 4) C Day Calculate Sandra’s wage for last week. 2) Sandra earns £9•20 an hour. Overtime is paid at time and a half on a Saturday and double time on a Sunday. The hours Sandra worked last week are shown below. Find the perimeter of this shape. C 4) C Fiona got a mark of 17 out of 25 in her last Maths test. In her Physics test, she got a mark of 13 out of 20. In which test did she do best ? Explain your answer. Round 2872•784 to a) the nearest 100 b) the nearest 10 c) one decimal place d) two decimal places Find the perimeter of this shape. 8m 5) Consider the formula C C 8m 5) Consider the formula P = 4x2 + 3y P = 4x2 + 3y C Evaluate C C P when x = 3 and y = 2 Evaluate 6) Evaluate P when x = 3 and y = 2 6) Evaluate a) 93 x 70 b) 5 700 ÷ 300 c) 34 x 8000 d) 7850 ÷ 40 e) 687 x 700 f) g) 5100 ÷ 600 h) 63•24 x 900 i) C a) 93 x 70 b) 5 700 ÷ 300 c) 34 x 8000 8100 ÷ 9000 d) 7850 ÷ 40 e) 687 x 700 f) 9100 ÷ 8000 9512 ÷ 400 g) 8•5 ÷ 600 h) 63•24 x 900 i) 9512 ÷ 400 C Int 1 Maths Mixed Homework Exercise 9 1) Six friends go out for a meal. The bill comes to £144. There is also a 12% service charge to pay. How much is the service charge? 2) Lesley buys a new DVD recorder. It costs £54•99 + VAT. Calculate the VAT. (VAT is charged at 17•5%). Give your answer to the nearest pence. Int 1 Maths Mixed Homework Exercise 9 C C -1 1) Six friends go out for a meal. The bill comes to £144. There is also a 12% service charge to pay. How much is the service charge? 2) Lesley buys a new DVD recorder. It costs £54•99 + VAT. Calculate the VAT. (VAT is charged at 17•5%). Give your answer to the nearest pence. C C -1 3) A man can walk 4•3 kmh . How far can he walk in six hours? Round your answer to the nearest ten km. C 4) Fred can do four press ups in 6 seconds. How many press ups can Fred do in one minute? 5) Find the area of this shape. C C 6m 3) A man can walk 4•3kmh . How far can he walk in six hours? Round your answer to the nearest ten km. C 4) Fred can do four press ups in 6 seconds. How many press ups can Fred do in one minute? 5) Find the area of this shape. C C 6m 15 m 15 m 20 m 6) Find the volume of this cube. 6 cm C 7) Find the volume of this cuboid. 20 m 6) Find the volume of this cube. 6 cm 7) Find the volume of this cuboid. C 3 cm 6 cm C 3 cm 2 cm 8) Find the circumference of a circle with diameter 14 m. C 6 cm C 9) Find the area of a circle which has radius 70 cm. 2 cm 8) Find the circumference of a circle with diameter 14 m. C 9) Find the area of a circle which has radius 70 cm. C C Int 1 Maths Mixed Homework Exercise 10 Int 1 Maths Mixed Homework Exercise 10 1) Evaluate 6f – 3k when f = 5 and k = 2 2) The cost of hiring a car is shown below. C 1) Evaluate C 2) The cost of hiring a car is shown below. 6f – 3k when f = 5 and k = 2 C C CAR HIRE £8 a day plus 9p per mile CAR HIRE £8 a day plus 9p per mile How much does it cost to hire a car for 5 days if the number of miles travelled is 420? How much does it cost to hire a car for 5 days if the number of miles travelled is 420? 3) D = ST is a formula used in Maths. 3) D = ST is a formula used in Maths. C C Evaluate D when S = 80 and T = 3. Evaluate D when S = 80 and T = 3. 4) Fiona works in a supermarket. She earns £5•90 an hour. If she works at the weekend she is paid time and a half. How much would Fiona earn if she worked 16 hours over the weekend? 5) Clare wants a new sofa. She sees one she likes with these Hire Purchase terms. C C 4) Fiona works in a supermarket. She earns £5•90 an hour. If she works at the weekend she is paid time and a half. How much would Fiona earn if she worked 16 hours over the weekend? 5) Clare wants a new sofa. She sees one she likes with these Hire Purchase terms. C C HIRE PURCHASE HIRE PURCHASE Deposit £120 then 24 instalments of £48•50 Deposit £120 then 24 instalments of £48•50 Find the total cost Clare will have to pay. Find the total cost Clare will have to pay. 8) A family are going to Spain for their Summer holidays. They want to change £1255 into Euros. How may Euros will they get? C FOREIGN EXCHANGE RATES 8) A family are going to Spain for their Summer holidays. They want to change £1255 into Euros. How may Euros will they get? C FOREIGN EXCHANGE RATES £1 buys £1 buys USA Spain $1•99 €1•42 USA Spain $1•99 €1•42 Japan 195•92 yen Japan 195•92 yen Thailand 65•54 bhats Thailand 65•54 bhats Homework 11 – Integers Homework 12 – TDS Homework 13 – Homework 14 – Pythagoras Homework 15 – Graphs, Charts and Tables Homework 16 – Homework 17 - Statistics Homework 18 Homework 19 – Revision for NAB (LO1 and LO2) Homework 20 – Revision for NAB (LO3, only some of LO4 included and LO5) Int 1 Maths Mixed Homework Exercise 11 Int 1 Maths Mixed Homework Exercise 11 1) Plot these points and join them up in order. A(-3,2), B(-3,-1), C(3,-5), D(0,2) What shape do you get? 2) a) 7 + (-7) 3) b) (-8) x 5 C c) 4 – (-8) 1) Plot these points and join them up in order. A(-3,2), B(-3,-1), C(3,-5), D(0,2) What shape do you get? 2) a) 7 + (-7) b) (-8) x 5 c) 4 – (-8) d) (-2) x (-4) e) (-12) ÷ 3 f) -24 ÷ (-8) C d) (-2) x (-4) e) (-12) ÷ 3 f) -24 ÷ (-8) g) 8 + (-4) h) -6 x 8 i) -16 + 4 g) 8 + (-4) h) -6 x 8 i) -16 + 4 j) 60 ÷ (-12) k) -45 + 17 l) -18 x (-2) j) 60 ÷ (-12) k) -45 + 17 l) -18 x (-2) 3) Twelve CDs cost £77•76. How much would 20 CDs cost? C 4) Rob invests £17 000 in a bank account which offers 6•4% interest pa. Twelve CDs cost £77•76. How much would 20 CDs cost? C C 4) Rob invests £17 000 in a bank account which offers 6•4% interest pa. C C How much would Rob have in his account after 5 months? How much would Rob have in his account after 5 months? 5) C 5) Find the volume of this cuboid. Give your answer in litres. C 10 cm Find the volume of this cuboid. Give your answer in litres. C 10 cm 16 cm 7 cm 6) Lucy earns £8•40 an hour. She works 39 hours a week basic. Any overtime is paid at double time. One week Lucy earned £428•40. How many hours did Lucy work overtime? 7) a) 7 + (-7) – (-3) b) (-8) x 5 x 2 16 cm C c) 4 – (-8) – (-1) 7 cm 6) Lucy earns £8•40 an hour. She works 39 hours a week basic. Any overtime is paid at double time. One week Lucy earned £428•40. How many hours did Lucy work overtime? 7) a) 7 + (-7) – (-3) b) (-8) x 5 x 2 C c) 4 – (-8) – (-1) C C d) (-2) x (-4) x 3 e) (-12) ÷ (-3) f) 4 x (-4) x 3 d) (-2) x (-4) x 3 e) (-12) ÷ (-3) f) 4 x (-4) x 3 g) 5 + (-1) – (-2) h) -6 x 8 x (-4) i) -11 + 3 – (-9) g) 5 + (-1) – (-2) h) -6 x 8 x (-4) i) -11 + 3 – (-9) Int 1 Maths Mixed Homework Exercise 12 Int 1 Maths Mixed Homework Exercise 12 1) Tom 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. C Distance from home (km) 100 1) Tom 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) 100 a) How far away does Tom’s Gran stay? a) How far away does Tom’s Gran stay? b) How long did Tom stop for petrol? b) How long did Tom stop for petrol? 50 d) Which part might have been completed on the motorway? 50 c) Calculate his average speed for both the outward and return journey. c) Calculate his average speed for both the outward and return journey. 0 b) 15% of 82 kg c) 75% of $116 d) 90% of €852 d) Which part might have been completed on the motorway? 10:00am 11:00am 9:00am 2) Calculate. a) 17•5% of £68 3) C C 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? C 4) Set out and find. C 0 2) Calculate. a) 17•5% of £68 b) 15% of 82 kg c) 75% of $116 d) 90% of €852 3) 10:00am 11:00am 9:00am C 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? 4) Set out and find. C a) 60 – 27•4 b) 40 - 4•42 c) 43•9 – 5•98 a) 60 – 27•4 b) 40 - 4•42 c) 43•9 – 5•98 e) 30 + 45•6 f) 17 + 13•27 g) 23•37 – 8•9 e) 30 + 45•6 f) 17 + 13•27 g) 23•37 – 8•9 5) Find the area of the shaded shape. 6 cm 17 cm C 9 cm C 5) Find the area of the shaded shape. 6 cm 17 cm C 9 cm Int 1 Maths Mixed Homework Exercise 13 1) Evaluate Int 1 Maths Mixed Homework Exercise 13 6f + 3k when f = -2 and k = -4 C 2) A man walks 5 km in two hours. 1) Evaluate 6f + 3k when f = -2 and k = -4 C 2) A man walks 5 km in two hours. C a) Calculate his average speed. a) How long would it take the man to cover 8 •25 km? 3) This shape is made up of a square and a triangle. Find the area of this shape. C a) Calculate his average speed. a) How long would it take the man to cover 8 •25 km? 3) This shape is made up of a square and a triangle. Find the area of this shape. C C 9 cm 9 cm 17 cm 17 cm 4) Shown below is part of a train timetable from Edinburgh to London. Both trains take the same time to complete the journey. At what time will Train 2 arrive in London? Departs Train 1 Train 2 0710 1423 Arrives 1146 ? 5) Plot the points P(-2,3), Q(3,4), R(4,-1) and S(-3,-2) and join them up in order. What shape is this? 6) Calculate the volume of this cube. How many litres does it hold? 8 cm 4) Shown below is part of a train timetable from Edinburgh to London. Both trains take the same time to complete the journey. At what time will Train 2 arrive in London? C Train 1 Train 2 C C Departs Arrives 0710 1423 1146 ? C 5) Plot the points P(-2,3), Q(3,4), R(4,-1) and S(-3,-2) and join them up in order. What shape is this? 6) Calculate the volume of this cube. How many litres does it hold? 8 cm C C Int 1 Maths Mixed Homework Exercise 14 Int 1 Maths Mixed Homework Exercise 14 C 1) The distance/time graph shows the journeys of two buses. One Distance from Ayton (km) from Ayton to Beton and the other from Beton to Ayton. 100 a) At what time did Bus 1 leave Ayton? b) How far is it from Ayton to Beton? Bus 2 1) The distance/time graph shows the journeys of two buses. One Distance from Ayton (km) from Ayton to Beton and the other from Beton to Ayton. 100 Bus 1 50 c) When did the buses pass each other? d) One of the buses is an express bus. Which one? 1400 1430 1500 2) Find the length of the missing side in each triangle. Give your answer correct to 2 decimal places where necessary. 1•9 cm a) b) c) 12 m a) At what time did Bus 1 leave Ayton? b) How far is it from Ayton to Beton? Bus 2 2•3 cm 50 1530 d) One of the buses is an express bus. Which one? 0 e) Calculate the speed of each of the buses. 1400 1430 47 mm 12 m 2•3 cm 1530 C 47 mm 36 mm 16 m 16 m 3) Set out and find. 3) Set out and find. C b) 7•23 x 8000 c) 9•14 x 40 d) 138•8 ÷ 40 e) 1170 ÷ 500 1500 2) Find the length of the missing side in each triangle. Give your answer correct to 2 decimal places where necessary. 1•9 cm a) b) c) C 36 mm a) 4•5 x 600 Bus 1 c) When did the buses pass each other? 0 e) Calculate the speed of each of the buses. C C a) 4•5 x 600 b) 7•23 x 8000 c) 9•14 x 40 d) 138•8 ÷ 40 e) 1170 ÷ 500 f) 32220 ÷ 9000 4) Calculate f) 32220 ÷ 9000 4) Calculate a) -7 + (-3) b) -8 – (-4) + (-2) c) 12 – 24 d) (-4) x 5 e) (-3) x 2 x (-4) f) 72 ÷ (-8) C a) -7 + (-3) b) -8 – (-4) + (-2) c) 12 – 24 d) (-4) x 5 e) (-3) x 2 x (-4) f) 72 ÷ (-8) C Int 1 Maths Mixed Homework Exercise 15 Int 1 Maths Mixed Homework Exercise 15 1) An S3 class were asked which kind of pet they had. The results are shown in the table below. C 1) An S3 class were asked which kind of pet they had. The results are shown in the table below. Pet Frequency Pet Frequency Dog 9 Dog 9 Cat 7 Cat 7 Fish 3 Fish 3 Mice 2 Mice 2 Other 5 Other 5 Draw a bar chart to display this data. Draw a bar chart to display this data. 2) This pie chart shows what happened to S6 after they left school. There were 80 pupils in the year. How many pupils: (a) were unemployed? (b) got a full time job? (c) went to University? (d) got a part time job? (e) went to college? How many pupils: (a) were unemployed? (b) got a full time job? (c) went to University? (d) got a part time job? (e) went to college? Unemployed Full time job 135o 54 2) This pie chart shows what happened to S6 after they left school. There were 80 pupils in the year. C o o 45 Part time Uni 3) C C Full time Unemployed job 135o o 45 Part o 54 time Uni SOFA Cash price - £850 Hire Purchase – 12% deposit then 24 monthly payments of £34 3) C How much more expensive is it to pay by Hire Purchase? SOFA Cash price - £850 Hire Purchase – 12% deposit then 24 monthly payments of £34 How much more expensive is it to pay by Hire Purchase? 4) Find the perimeter and the area of this shape. 4) Find the perimeter and the area of this shape. C C 14 cm 5) Use the formula rectangle. 14 cm P = 2l + 2b to find the perimeter of this C 4m 12 m C 5) Use the formula rectangle. P = 2l + 2b to find the perimeter of this C 4m 12 m Int 1 Maths Mixed Homework Exercise 16 Int 1 Maths Mixed Homework Exercise 16 C C 1) The prices of second hand items for sale in the local newspaper (in £) are: 42 67 90 90 75 51 25 55 61 58 80 65 45 31 94 84 44 80 46 31 53 76 68 39 67 56 27 45 75 32 86 80 1) The prices of second hand items for sale in the local newspaper (in £) are: 50 42 67 90 90 Draw an ordered stem and leaf diagram of this data. 2) This rectangular field has a path running from one corner to the other as shown. You walk from A to C using the path. Your friend walks from A to B then to C. Who has the shorter journey? A By how much? Give your answer correct to 2 14 m decimal places. D B 44 80 46 31 53 76 68 39 67 56 27 45 75 32 86 80 50 2) This rectangular field has a path running from one corner to the other as shown. You walk from A to C using the path. Your friend walks from A to B then to C. Who has the shorter journey? A By how much? Give your answer correct to 2 14 m decimal places. D C B C 26 26 25 25 24 23 23 23 24 25 25 26 Pupil A B C D E F G H I J K L M N O Maths 60 20 30 70 50 50 50 40 60 60 10 70 30 80 90 80 30 20 80 60 30 50 50 40 50 20 60 40 60 80 a) Construct a scattergraph to show the above information. b) Draw a line of best fit on your graph. c) Mary got 70 in her Maths exam. Estimate what mark Mary got in Physics. C 4) Thirty packets of sweets were opened. Shown below are the number of sweets in each packet. Draw and complete a frequency diagram to summarise this data. 26 23 27 24 25 24 26 27 24 25 25 25 24 24 25 23 26 27 C C 29 m 3) You need 240g of flour to make 15 scones. How much flour would you need to make 48 scones? C 5) Fifteen children sat a Maths and a physics exam. Their marks are listed below. Physics 45 31 94 84 C 29 m 4) Thirty packets of sweets were opened. Shown below are the number of sweets in each packet. Draw and complete a frequency diagram to summarise this data. 26 23 27 24 25 24 26 27 24 25 25 25 24 24 25 23 26 27 61 58 80 65 Draw an ordered stem and leaf diagram of this data. C 3) You need 240g of flour to make 15 scones. How much flour would you need to make 48 scones? 75 51 25 55 C 26 26 25 25 24 23 23 23 24 25 25 26 5) Fifteen children sat a Maths and a physics exam. Their marks are listed below. C Pupil A B C D E F G H I J K L M N O Maths 60 20 30 70 50 50 50 40 60 60 10 70 30 80 90 Physics 80 30 20 80 60 30 50 50 40 50 20 60 40 60 80 a) Construct a scattergraph to show the above information. b) Draw a line of best fit on your graph. c) Mary got 70 in her Maths exam. Estimate what mark Mary got in Physics. Int 1 Maths Mixed Homework Exercise 17 1) Brass tacks come in boxes labelled ‘Contents: 45 approx’ Here are the amount of tacks from a sample of boxes. Int 1 Maths Mixed Homework Exercise 17 1) Brass tacks come in boxes labelled ‘Contents: 45 approx’ Here are the amount of tacks from a sample of boxes. C 42 48 43 45 48 45 45 44 46 49 43 47 42 48 43 45 48 45 45 44 46 49 43 47 a) Calculate the range. b) Calculate the mean, median and mode. c) Is the claim on the front of the box correct? Explain your answer. 2) Calculate the following: a) 1% of £245 b) 3% of £27 C a) Calculate the range. b) Calculate the mean, median and mode. c) Is the claim on the front of the box correct? Explain your answer. 2) Calculate the following: c) 8% of 48 litres C a) 1% of £245 b) 3% of £27 c) 8% of 48 litres C d) 10% of 85 kg e) 80% of 48 ml f) 60% of 724 g d) 10% of 85 kg e) 80% of 48 ml f) 60% of 724 g g) 12% of £832 h) 17.5% of £56 i) 93% of 85 ml g) 12% of £832 h) 17.5% of £56 i) 93% of 85 ml j) 42% of 15 kg k) 63% of 119 km l) 49% of 320 litres j) 42% of 15 kg k) 63% of 119 km l) 49% of 320 litres 3) Evaluate 4e + p when e = 5, p = 8 and r = 4 r C 4) A bag contains 20 raffle tickets. Two tickets win a DVD player, four tickets win a CD, three tickets win a voucher. The rest of the tickets win nothing. Find the probability of: a) winning a DVD player b) winning a CD c) not winning anything Give your answers in their simplest form. 5) Draw a set of axes where both x and y go from -7 to 7. On your graph plot the following points, labelling each one clearly. a) A(3,6) b) B(-4,5) c) C(2,-7) d) D(-3,-5) e) E(0,-7) f) F(-4,0) g) G(-2,-6) h) H(-7,4) 6) This diagram shows a flagpole supported by a wire. Find the height of the flagpole. Give your answer to the 8m nearest centimetre. 6m C C C 3) Evaluate 4e + p when e = 5, p = 8 and r = 4 r C 4) A bag contains 20 raffle tickets. Two tickets win a DVD player, four tickets win a CD, three tickets win a voucher. The rest of the tickets win nothing. Find the probability of: a) winning a DVD player b) winning a CD c) not winning anything Give your answers in their simplest form. 5) Draw a set of axes where both x and y go from -7 to 7. On your graph plot the following points, labelling each one clearly. a) A(3,6) b) B(-4,5) c) C(2,-7) d) D(-3,-5) e) E(0,-7) f) F(-4,0) g) G(-2,-6) h) H(-7,4) 6) BD shows a flagpole supported by a wire. Find the height of the flagpole. 8m Give your answer to the nearest centimetre. 6m C C C Int 1 Maths Mixed Homework Exercise 18 Int 1 Maths Mixed Homework Exercise 18 C 1) A bag contains some sweets. There are 15 toffees, 10 mints and 5 truffles. One sweet is taken at random from the bag. Calculate the probability of that sweet being a) a toffee b) a mint C 1) A bag contains some sweets. There are 15 toffees, 10 mints and 5 truffles. One sweet is taken at random from the bag. Calculate the probability of that sweet being c) a truffle a) Give your answer in its simplest form. a toffee b) a mint c) a truffle Give your answer in its simplest form. 2) Max records his scores in a game of golf in this table: 2) Max records his scores in a game of golf in this table: C Score Frequency Score x Frequency Score Frequency Score x Frequency 3 4 3x4 3 4 3x4 4 6 4 6 5 7 5 7 6 1 6 1 Totals C Totals a) Copy and complete the table. a) Copy and complete the table. b) Use the table to calculate the mean, median, mode and range. b) Use the table to calculate the mean, median, mode and range. 3) Find the area of this shape. Give your answer correct to 2 decimal places. 3) Find the area of this shape. Give your answer correct to 2 decimal places. C 17 cm 17 cm 14 cm 14 cm 4) You earn £6.40 an hour. Overtime on a Saturday is paid at time and a half. Overtime on a Sunday is paid at double time. Here are the hours you worked last week. Calculate your wages for last week. Day Hours worked C Mon 0 Tues Wed 8 4 Thurs Fri 7 0 C Sat Sun 6 4 4) You earn £6.40 an hour. Overtime on a Saturday is paid at time and a half. Overtime on a Sunday is paid at double time. Here are the hours you worked last week. Calculate your wages for last week. Day Hours worked Mon 0 Tues Wed 8 4 Thurs Fri 7 0 C Sat Sun 6 4 Int 1 Maths Mixed Homework Exercise 19 Int 1 Maths Mixed Homework Exercise 19 y A x y A x C 1) Copy this diagram. State the coordinates of the points A and B. Plot the points C(4,-3) and D(-2,-5) 1) C Copy this diagram. State the coordinates of the points A and B. Plot the points C(4,-3) and D(-2,-5) x x x B x B 2) Some students entered a Mathematical Challenge Competition, where points are given for correct answers and deducted for wrong answers. The results for each round are shown below. Sally Laura Liam a) b) c) Round A 1 -3 -8 Round B -4 1 2 Round C 2 6 1 C Total -1 50 C a) How far did Ben travel before stopping for lunch? Dist (km) b) How long did his lunch last? 25 5) a) b) Some students entered a Mathematical Challenge Competition, where points are given for correct answers and deducted for wrong answers. The results for each round are shown below. Sally Laura Liam Round A 1 -3 -8 Round B -4 1 2 Round C 2 6 1 C Total -1 What is Laura’s total score? What is Liam’s total score? Fred scored 6. By how many points did he beat Sally? 4) This graph shows a Ben’s journey to his friend’s house. He broke the journey by stopping for lunch. 1400 2) c) Which part of the journey was completed on the motorway? Explain your answer. 1500 4) This graph shows a Ben’s journey to his friend’s house. He broke the journey by stopping for lunch. 50 -1 A bus travels at a speed of 80 kmh . for 4 hours. Calculate the distance travelled by the bus. A train travels for 486 miles at 108 mph. How long does the journey take? C a) How far did Ben travel before stopping for lunch? Dist (km) b) How long did his lunch last? 25 1400 1600 Time 5) a) b) C c) Which part of the journey was completed on the motorway? Explain your answer. 1500 1600 Time -1 A bus travels at a speed of 80 kmh . for 4 hours. Calculate the distance travelled by the bus. A train travels for 486 miles at 108 mph. How long does the journey take? C Int 1 Maths Mixed Homework Exercise 20 Int 1 Maths Mixed Homework Exercise 20 B 1) Calculate the distance from A to C. 7 km 1) Calculate the distance from A to C. 7 km 4 km A 2) 480 people were asked their favourite colour. How many chose red? C 2) 480 people were asked their favourite colour. How many chose red? Red Green 1 2 5 5 2 1 1 6 3 1 4 5 5 6 5 1 2 3 4 5 a) Copy and complete this frequency table. Score b) The computer is expected to produce approximately equal numbers of each score. Comment on how the computer seems to be doing its job. 4 km C C Yellow Blue 3) Kim was testing a new computer program which simulated dice rolling. Here is a list of the scores produced by the computer. Red Green C Tally C A C Yellow B C Freq 3) Kim was testing a new computer program which simulated dice rolling. Here is a list of the scores produced by the computer. 1 2 5 5 2 1 1 6 3 1 4 5 5 6 5 1 2 3 4 5 a) Copy and complete this frequency table. Score b) The computer is expected to produce approximately equal numbers of each score. Comment on how the computer seems to be doing its job. Total 4) Here are the ages of 12 members of a youth group. Blue C Tally Freq Total 4) Here are the ages of 12 members of a youth group. C 16 16 15 20 16 18 13 16 13 12 16 17 C 16 16 15 20 16 18 13 16 13 12 16 17 a) Calculate the mean age. b) Calculate the mode age. c) Calculate the median. a) Calculate the mean age. b) Calculate the mode age. c) Calculate the median. d) Calculate the range. d) Calculate the range. 5) Here is a spinner game. When the arrow is spun it comes to rest on one number. What is the probability that it comes to rest on the number “7”? 5) Here is a spinner game. When the arrow is spun it comes to rest on one number. What is the probability that it comes to rest on the number “7”? C C Homework 21 – Basic Algebra Homework 22 – Homework 23 – Graphical Relationships Homework 24 – Homework 25 – Basic Trigonometry Homework 26 – Homework 27 – Scientific Notation Homework 28 Homework 29 – Revision for NAB (LO1, LO2 and LO3) Homework 30 – Revision for NAB (LO4) Int 1 Maths Mixed Homework Exercise 21 Int 1 Maths Mixed Homework Exercise 21 C 1) Evaluate when a) c) e) g) 1) Evaluate when a = 3, b = 5, and c = -4 b) 3bc - 6 5a 2 d) 2b – 4a + c 2a + b f) a2 + c2 2ac + 1 h) 3c + b - a 3 + 2c2 2 a) c) e) g) 2) Simplify the following a) c) e) g) i) k) C a = 3, b = 5, and c = -4 b) 3bc - 6 5a 2 d) 2b – 4a + c 2a + b f) a2 + c2 2ac + 1 h) 3c + b - a 3 + 2c2 2 2) Simplify the following a + 2b + 3a - b 3x2 - x2 2y x y 3 x 5p b) 4h + 2n – 7h + 5n 3 + 6q + 2r – 3q j) d) f) h) l) wxwx3 p + 2q – 2p s2 + 3t2+ 3s2 – 2t2 3c2 + 2c2 - c2 C c) e) g) 9a x 5b 4c + 3b – 6c + b 3) A yacht sails out from the harbour. It sails due north for 15 km. It then sails due east for another 23 km. How far is the yacht from the harbour? a) a + 2b + 3a - b 3x2 - x2 2y x y 3 x 5p i) 4h + 2n – 7h + 5n k) 3 + 6q + 2r – 3q d) f) h) j) l) wxwx3 p + 2q – 2p s2 + 3t2+ 3s2 – 2t2 3c2 + 2c2 - c2 C 9a x 5b 4c + 3b – 6c + b 3) A yacht sails out from the harbour. It sails due north for 15 km. It then sails due east for another 23 km. How far is the yacht from the harbour? C 23 km 15 km b) C 23 km 15 km ? H ? H 4) a) Find the volume of this cuboid. 3cm 4) a) Find the volume of this cuboid. 3cm C 8cm 2cm C 8cm b) How many of the above cuboids would fit in a cardboard box which measures 56 cm by 10 cm by 24 cm? 2cm b) How many of the above cuboids would fit in a cardboard box which measures 56 cm by 10 cm by 24 cm? 5) Calculate 5) Calculate a) 50% of £210 b) 75% of 68 kg c) e) 25% of 140 km 10% of £95 d) f) 90% of 312 miles 5% of 1120 kg C a) 50% of £210 b) 75% of 68 kg c) e) 25% of 140 km 10% of £95 d) f) 90% of 312 miles 5% of 1120 kg C Int 1 Maths Mixed Homework Exercise 22 Int 1 Maths Mixed Homework Exercise 22 C 1) Expand and simplify. a) c) e) g) 3(a + 2) 12(2 – q) 5r(2s – 3r) 7(f – 3) + 4 C 1) Expand and simplify. b) 6(k – 1) 2(7x – 3y) 10(2r + 3) - 6r 4 + 2(t – 6) d) f) h) a) c) e) g) 2) The area of a circle is given by A = r2. The circumference of a circle is given by C = d. Find the area and the circumference of this circle. b) 6(k – 1) 2(7x – 3y) 10(2r + 3) - 6r 4 + 2(t – 6) d) f) h) 2) The area of a circle is given by A = r2. The circumference of a circle is given by C = d. Find the area and the circumference of this circle. C 3) This diagram shows a telegraph pole supported by two wires. A Find the length of the wire AC. Give your answer to 2 dp. 3(a + 2) 12(2 – q) 5r(2s – 3r) 7(f – 3) + 4 3) This diagram shows a telegraph pole supported by two wires. A Find the length of the wire AC. Give your answer to 2 dp. C 8m B 3m D a) c) e) g) a+2=8 14 = 2 + 3q 5(2s – 3) = 25 3(3f – 6) = 36 d) f) h) 5m B 3m D C c) e) q-3<4 3 + 6y ≥ 27 2x – 4 > x + 5 5m C 4) Solve the following equations. 6p = 42 8x – 9 = 31 4(2r + 3) = 60 4(9t - 4) = 56 C a) c) e) g) 5) Solve these inequalities. a) C 8m 4) Solve the following equations. b) C a+2=8 14 = 2 + 3q 5(2s – 3) = 25 3(3f – 6) = 36 b) d) f) h) 6p = 42 8x – 9 = 31 4(2r + 3) = 60 4(9t - 4) = 56 C 5) Solve these inequalities. b) d) f) C 9l > 63 7x + 4 ≤ 25 9r + 5 ≥ 8r - 7 a) c) e) q-3<4 3 + 6y ≥ 27 2x – 4 > x + 5 b) d) f) C 9l > 63 7x + 4 ≤ 25 9r + 5 ≥ 8r - 7 Int 1 Maths Mixed Homework Exercise 23 Int 1 Maths Mixed Homework Exercise 23 C 1) Factorise the following a) c) e) g) 1) Factorise the following b) 3a + 6 pq - q 15gh + 10g 15y + 30y2 d) f) h) a) 4b - 6 3rs – 12s 8cd – 16d 12pq2 – 6q c) e) g) 2) Draw the following lines on the same diagram. b) y = -2x a) y = 3x c) 1 y= x 2 C 3 x 2 d) y=- b) 8(z – 3) + 2(z + 4) 3(1 – t) + 4(t + 4) 5(2 – 3x) + 4(2 – x) 8(5c +2d) +2(3c + 4d) c) e) g) b) 3a + 6 pq - q 15gh + 10g 15y + 30y2 d) f) h) 4b - 6 3rs – 12s 8cd – 16d 12pq2 – 6q 2) Draw the following lines on the same diagram. b) y = -2x a) y = 3x c) 3) Expand and simplify. a) C 1 y= x 2 C 3 x 2 d) y=- b) 8(z – 3) + 2(z + 4) 3(1 – t) + 4(t + 4) 5(2 – 3x) + 4(2 – x) 8(5c +2d) +2(3c + 4d) 3) Expand and simplify. 3(a – 2) – 2a 9 + 2(3w – 1) 8(q – 3p) + 4qc 6k – 4(7 + k) d) f) h) C a) c) e) g) 4) Copy and complete this table for each equation below. 3(a – 2) – 2a 9 + 2(3w – 1) 8(q – 3p) + 4qc 6k – 4(7 + k) d) f) h) 4) Copy and complete this table for each equation below. C x y -3 -2 -1 0 1 2 b) y = 4x + 1 C 3 x y Plot the points and then draw a line through them to give the graph of each equation. a) -3 -2 -1 0 1 2 3 Plot the points and then draw a line through them to give the graph of each equation. a) y = -2x 5) Copy and complete this table for each equation below. b) y = 4x + 1 y = -2x 5) Copy and complete this table for each equation below. C x y -6 -4 -2 0 2 4 c) 1 y= x 2 d) y=- 3 x 2 C 6 Plot the points and then draw a line through them to give the graph of each equation. C x y -6 -4 -2 0 2 4 6 Plot the points and then draw a line through them to give the graph of each equation. c) 1 y= x 2 d) y=- 3 x 2 Int 1 Maths Mixed Homework Exercise 24 Int 1 Maths Mixed Homework Exercise 24 C 1) Find the equation of these lines. y a) b) 1) Find the equation of these lines. y x y a) x y c) C d) b) y x y x y c) d) y x x x x 2) Solve the following equations. a) c) e) g) 3a + 2 = 2a + 6 7p + 6 = 3p + 30 8d – 8 = 3d + 27 6k = 4k + 24 b) d) f) h) 2) Solve the following equations. 6p – 9 = 5p - 2 5b – 6 = 3b + 10 10t – 6 = t + 3 7f – 20 = 3f 3) The number of passengers travelling by bus from Edinburgh to Glasgow was recorded for 20 journeys. C a) c) e) g) C 3a + 2 = 2a + 6 7p + 6 = 3p + 30 8d – 8 = 3d + 27 6k = 4k + 24 b) d) f) h) 6p – 9 = 5p - 2 5b – 6 = 3b + 10 10t – 6 = t + 3 7f – 20 = 3f 3) The number of passengers travelling by bus from Edinburgh to Glasgow was recorded for 20 journeys. C C 29 45 36 27 41 38 14 48 31 39 24 17 23 34 29 38 42 12 32 36 29 45 36 27 41 38 14 48 31 39 24 17 23 34 29 38 42 12 32 36 a) Display the information on an ordered stem and leaf diagram. a) Display the information on an ordered stem and leaf diagram. b) Find the mean, median and mode number of passengers. b) Find the mean, median and mode number of passengers. c) Calculate the range. c) Calculate the range. Int 1 Maths Mixed Homework Exercise 25 1) Use the tangent ratio to calculate x. b) a) x Int 1 Maths Mixed Homework Exercise 25 1) Use the tangent ratio to calculate x. b) a) C 9m x 13 m 48 o 48 o 56 o 27 mm 3) Use the cosine ratio to calculate x. b) a) C xo x 12 cm 27 mm 3) Use the cosine ratio to calculate x. b) a) 42 13 cm x 13 cm C xo 13 cm 56 xo 2) Use the sine ratio to calculate x. b) a) C xo 12 cm o 12 cm 2) Use the sine ratio to calculate x. b) a) 9m 13 m xo 12 cm C 11 cm 13 cm 19 cm o 42 x C xo 11 cm 19 cm o x 4) These two rectangles have the same area. Find the dimensions of each rectangle. C Rectangle 2 4 cm Rectangle 1 (x + 2) cm 3 cm 4) These two rectangles have the same area. Find the dimensions of each rectangle. Rectangle 2 4 cm Rectangle 1 (x + 2) cm x cm C 3 cm x cm Int 1 Maths Mixed Homework Exercise 26 1) Calculate x. a) Int 1 Maths Mixed Homework Exercise 26 1) Calculate x. a) C b) 8m x o xo 26 cm 17 m 52 xo 39 46 mm 9 cm o 39 b) The counter is replaced and two green counters are added. A counter is taken from the bag. What is the probability that it is not yellow? 3) Copy and complete the table below for 0 xo x C Use the table to draw the straight line 3) Copy and complete the table below for x y 4) Champagne costs £24.99 a bottle. A shop offers a 15% discount when you buy 6 bottles. Calculate the cost of buying 6 bottles. o 2) There are 1 blue, 2 red and 3 yellow counters in a bag. a) A counter is taken from the bag. What is the probability that the counter is red? C -2 0 C C y = 3x + 1. C 3 Use the table to draw the straight line y = 3x + 1. x b) The counter is replaced and two green counters are added. A counter is taken from the bag. What is the probability that it is not yellow? y = 3x + 1. 3 17 m d) 4 cm 2) There are 1 blue, 2 red and 3 yellow counters in a bag. a) A counter is taken from the bag. What is the probability that the counter is red? -2 xo c) 46 mm 9 cm o 26 cm d) c) x y 8m x 52 4 cm C b) y = 3x + 1. 4) Champagne costs £24.99 a bottle. A shop offers a 15% discount when you buy 6 bottles. Calculate the cost of buying 6 bottles. C Int 1 Maths Mixed Homework Exercise 27 1) A football pitch measures 105 m by 68 m. Calculate the distance from the corner flag to the centre spot. 105 m Give your answer to the nearest cm. 68 m 2) Write these numbers in full. 6 b) a) 9.45 x 10 3.27 x 10 Int 1 Maths Mixed Homework Exercise 27 1) A football pitch measures 105 m by 68 m. Calculate the distance from the corner flag to the centre spot. 105 m Give your answer to the nearest cm. 68 m C -3 C 2 c) e) 1.73 x 10 15 5.49 x 10 -7 d) f) 8.47 x 10 -9 6.11 x 10 g) 3.67 x 10 7 h) 8.67 x 10 -2 3) Write these numbers in scientific notation. b) 23 000 a) 8900 C 2) Write these numbers in full. 6 b) a) 9.45 x 10 3.27 x 10 -3 C 2 c) e) 1.73 x 10 15 5.49 x 10 -7 d) f) 8.47 x 10 -9 6.11 x 10 g) 3.67 x 10 7 h) 8.67 x 10 -2 3) Write these numbers in scientific notation. b) 23 000 a) 8900 C c) e) 0.000 092 90 000 100 d) f) 0.003 4 830 000 000 000 c) e) 0.000 092 90 000 100 d) f) 0.003 4 830 000 000 000 g) 0.000 001 893 h) 0.000 000 000 000 128 g) 0.000 001 893 h) 0.000 000 000 000 128 E 4) DEFG is a kite. Calculate the length of DF. D 35 o 14 cm C F 5) Sally invests £4200 in the Platinum Saver Account which pays 6.3% interest. How much interest will she receive after 10 months? 6) A train travels at 144 kmh-1. It takes 1 hour 15 minutes to travel from Dingwall to Aberdeen. Calculate the distance between Dingwall and Aberdeen. E 4) DEFG is a kite. Calculate the length of DF. D G C 35 o 14 cm C F G C C 5) Sally invests £4200 in the Platinum Saver Account which pays 6.3% interest. How much interest will she receive after 10 months? 6) A train travels at 144 kmh-1. It takes 1 hour 15 minutes to travel from Dingwall to Aberdeen. Calculate the distance between Dingwall and Aberdeen. C C Int 1 Maths Mixed Homework Exercise 28 1) Light travels at a speed of 3 x 105 km per second. Calculate how far light can travel in one day. 2) Find the area of this rectangle. All lengths are in cm. 1.16 x 10 3.2 x 10 Int 1 Maths Mixed Homework Exercise 28 C C 1) Light travels at a speed of 3 x 105 km per second. Calculate how far light can travel in one day. C 2) Find the area of this rectangle. All lengths are in cm. 3 1.16 x 10 4 3.2 x 10 C 3 4 3) The population of China is 1.32 x 109 people. 6 2 The area of China is 9.6 x 10 km . How many people are there per square kilometre in China? Give your answer in scientific notation. 3) The population of China is 1.32 x 109 people. 6 2 The area of China is 9.6 x 10 km . How many people are there per square kilometre in China? Give your answer in scientific notation. 4) The diagram shows a yacht with a mast of height x metres. 4) The diagram shows a yacht with a mast of height x metres. C C x C x 61o 2.5 m 61o 2.5 m Calculate the height of the yacht’s mast. 5) A supermarket has a canopy over its entrance. The edge of the canopy has 6 semi circles as shown. Each semi circle has a diameter of 4 metres. C Calculate the height of the yacht’s mast. C 4m 5) A supermarket has a canopy over its entrance. The edge of the canopy has 6 semi circles as shown. Each semi circle has a diameter of 4 metres. C 4m a) Find the length of the curved edge of one of the semi circles. a) Find the length of the curved edge of one of the semi circles. b) You are asked to attach fairy lights to the edge of the canopy. You have 40 m of fairy lights. Is it enough for the whole canopy? b) You are asked to attach fairy lights to the edge of the canopy. You have 40 m of fairy lights. Is it enough for the whole canopy? Int 1 Maths Mixed Homework Exercise 29 1) Given that and b = 2. P = l + ab , calculate P when l = 10, a = 6 2) a) Multiply out the brackets b) Simplify this expression 3) Factorise Int 1 Maths Mixed Homework Exercise 29 C 6(t – 4) 3(q + 7) + 4q C 4x + 8 C 4) a) Solve the equation b) Solve the equation g – 8 = 10 5k = 17.5 5) a) Solve the inequality b) Solve the inequality h+2>6 3p < 21 C C 6) a) Copy and complete the table below where x y 0 1 2 y = 2x - 1 C 3 b) Use the table of values to draw the straight line on a coordinate grid from -10 to 10. y = 2x – 1 7) The diagram shows a flagpole supported by a wire. Find the height of the flagpole. C 9m 53 1) Given that and b = 2. P = l + ab , calculate P when l = 10, a = 6 2) a) Multiply out the brackets b) Simplify this expression 3) Factorise C 6(t – 4) 3(q + 7) + 4q C 4x + 8 C 4) a) Solve the equation b) Solve the equation g – 8 = 10 5k = 17.5 5) a) Solve the inequality b) Solve the inequality h+2>6 3p < 21 C C 6) a) Copy and complete the table below where x y 0 1 2 y = 2x - 1 C 3 b) Use the table of values to draw the straight line on a coordinate grid from -10 to 10. y = 2x – 1 7) The diagram shows a flagpole supported by a wire. Find the height of the flagpole. C 9m o 53 8) A ladder is propped up against a wall. The ladder is 3.2 m long. The foot of the ladder is 0.9m from the wall. Calculate the angle the ladder makes with the ground. C o 8) A ladder is propped up against a wall. The ladder is 3.2 m long. The foot of the ladder is 0.9m from the wall. Calculate the angle the ladder makes with the ground. 3 .2 m 3 .2 m xo xo 0 .9 m 0 .9 m C Int 1 Maths Mixed Homework Exercise 30 1) a) The distance from a planet to the Sun is 8 4.27 x 10 kilometres. Write this number out in full. Int 1 Maths Mixed Homework Exercise 30 C 1) a) The distance from a planet to the Sun is 8 4.27 x 10 kilometres. Write this number out in full. b) A carbon atom weighs -6 3.012 x 10 grams. Write this number out in full. 2) a) There are 86 400 seconds in one day. Write this number in standard form. b) A carbon atom weighs -6 3.012 x 10 grams. Write this number out in full. C 2) a) There are 86 400 seconds in one day. Write this number in standard form. b) There are 0.000 001 9 seconds in one day. Write this number in standard form. 3) C b) There are 0.000 001 9 seconds in one day. Write this number in standard form. 8 Venus is a distance of 1.08 x 10 kilometres from the Sun. Jupiter is 7.2 times as far. How far is Jupiter from the Sun? C C 3) 8 Venus is a distance of 1.08 x 10 kilometres from the Sun. Jupiter is 7.2 times as far. How far is Jupiter from the Sun? C