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What mathematics might be involved in fitting a carpet? © bigstockphoto. com What mathematics might be involved in fitting a carpet? © bigstockphoto. com

* Q 1. How much does a 4 m length of Berber cost, when * Q 1. How much does a 4 m length of Berber cost, when cut from the 2 m roll? ( before discount). Q 2. How much would this be after discount? Q 3. Calculate the price per m 2.

* Q 4. How much does a 3 m length of Royale cost, when * Q 4. How much does a 3 m length of Royale cost, when cut from the 3 m roll? ( after discount). Q 5. Calculate the price per m 2. Q 6. On the 4 m roll width, what fraction of the Royale price is the Saxony price? (before discount).

* Q 7. What is the ratio of the price of Saxony to the * Q 7. What is the ratio of the price of Saxony to the price of Berber from the 2 m roll? (before discount). Q 8. What percentage cost of the 3 m roll Berber is the 2 m roll Berber? (before discount). Q 9. What is the mean and range of Berber carpet prices before discount?

* Q 10. Jenny wants to buy a 3 m x 4 m Royale * Q 10. Jenny wants to buy a 3 m x 4 m Royale carpet. Which carpet roll width would you advise her to use? (pre-discount). Q 11. How much is 10 m 2 of Saxony carpet after discount? Q 12. What is the price of 15 m 2 of Royale after discount?

Sarah wants to fit a Berber carpet in her bedroom. She would like it Sarah wants to fit a Berber carpet in her bedroom. She would like it fitted in one piece so that there are no joins. Q 13. Which width of carpet should she choose? © bigstockphoto. com Q 14. Assuming that she cannot have fractions of a metre cut from the roll, Sarah’s Bedroom (Plan View) 4. 85 m 1. 8 m 2. 9 m 75 cm 3. 2 m Not to Scale (a) What is the area of the purchased carpet? (b) How much wastage is there? Sarah’s Bedroom

Sarah decides to buy 15 m 2 of underlay for her carpet, together with Sarah decides to buy 15 m 2 of underlay for her carpet, together with carpet gripper and a single brass strip gripper (75 cm length) for the door area. “Comfort Carpets” will supply a fitter at a cost of £ 30. The discount offered applies to the carpet only. NB Wooden gripper is not used for the door space! * Sarah’s Bedroom (Plan View) £ 3. 50 m 2 4. 85 m 2. 9 m 75 p/metre £ 2. 50 Q 15. How many metres of 1. 8 m wooden gripper will she need? (Show your working). 75 cm 3. 2 m Not to Scale

Sarah decides to buy 15 m 2 of underlay for her carpet, together with Sarah decides to buy 15 m 2 of underlay for her carpet, together with carpet gripper and a single brass strip gripper (75 cm length) for the door area. “Comfort Carpets” will supply a fitter at a cost of £ 30. The discount offered applies to the carpet only. NB Wooden gripper is not used for the door space! * Sarah’s Bedroom (Plan View) £ 3. 50 m 2 4. 85 m £ 2. 50 Q 16. Calculate the total cost of having the carpet fitted. 1. 8 m 2. 9 m 75 p/metre 75 cm 3. 2 m Not to Scale Carpet: £ Underlay: £ 15 m Gripper: £ Brass strip: £ Fitting: £ Total: £ .

Paul wants to fit a Royale carpet in his living room. He also wants Paul wants to fit a Royale carpet in his living room. He also wants it fitted in one piece so that there are no joins. Q 17. Which width of carpet should he choose? 2. 85 m Not to Scale £ 3. 50 m 2 75 p/metre £ 2. 50 NB Wooden gripper is not used for the door space! Q 18. Assuming that you cannot have fractions of a metre cut from the roll, 75 cm 5. 7 m Paul’s living room 2. 4 m Paul’s Living Room 3. 9 m (a) What is the area of the purchased carpet? (b) How much wastage is there? (2 d. p. )

Paul decides to buy 24 m 2 of underlay for his carpet, together with Paul decides to buy 24 m 2 of underlay for his carpet, together with carpet gripper and a single brass strip (75 cm length) for the door area. “Comfort Carpets” will supply a fitter at a cost of £ 45. The discount offered applies to the carpet only. 2. 85 m Not to Scale £ 3. 50 m 2 75 p/metre £ 2. 50 NB Wooden gripper is not used for the door space! 75 cm 5. 7 m * Paul’s living room 2. 4 m 3. 9 m Q 19. How many metres of wooden gripper will he need? (Show your working).

Paul decides to buy 24 m 2 of underlay for his carpet, together with Paul decides to buy 24 m 2 of underlay for his carpet, together with carpet gripper and a single brass strip (75 cm length) for the door area. “Comfort Carpets” will supply a fitter at a cost of £ 45. The discount offered applies to the carpet only. 2. 85 m Not to Scale * 75 cm 5. 7 m Paul’s living room 2. 4 m 3. 9 m £ 3. 50 m 2 75 p/metre £ 2. 50 NB Wooden gripper is not used for the door space! Q 20. Calculate the total cost of having the carpet fitted. Carpet: £ Underlay: £ 19 m Gripper: £ Brass strip: £ Fitting: £ Total: £ .

Student Question Sheet (1) Q 1. How much does a 4 m length of Student Question Sheet (1) Q 1. How much does a 4 m length of Berber cost, when cut from the 2 m roll? ( before discount). Q 2. How much would this be after discount? Q 3. Calculate the price per m 2. Q 4. How much does a 3 m length of Royale cost, when cut from the 3 m roll? ( after discount). Q 5. Calculate the price per m 2. Q 6. On the 4 m roll width, what fraction of the Royale price is the Saxony price? (before discount). Q 7. What is the ratio of the price of Saxony to the price of Berber from the 2 m roll? (before discount). Q 8. What percentage cost of the 3 m roll Berber is the 2 m roll Berber? (before discount). Q 9. What is the mean and range of Berber carpet prices before discount? Q 10. Jenny wants to buy a 3 m x 4 m Royale carpet. Which carpet roll width would you advise her to use? (pre-discount). Q 11. How much is 10 m 2 of Saxony carpet after discount? Q 12. What is the price 15 m 2 of Royale after discount? Student Questions

Student Question Sheet (2) Q 13. Which width of carpet should she choose? Q Student Question Sheet (2) Q 13. Which width of carpet should she choose? Q 14. Assuming that she cannot have fractions of a metre cut from the roll, (a) What is the area of the purchased carpet? (b) How much wastage is there? Q 15. How many metres of wooden gripper will she need? (Show your working). Q 16. Calculate the total cost of having the carpet fitted. Q 17. Which width of carpet should he choose? Q 18. Assuming that you cannot have fractions of a metre cut from the roll, (a) What is the area of the purchased carpet (b) How much wastage is there? (2 d. p. ) Q 19. How many metres of wooden gripper will he need? (Show your working). Q 20. Calculate the total cost of having the carpet fitted.

Comfort Carpets Homework Worksheet (All Questions) Worksheet 1 Comfort Carpets Homework Worksheet (All Questions) Worksheet 1

For use with Q 13 – Q 16 For Use with Q 17 – For use with Q 13 – Q 16 For Use with Q 17 – Q 20 Sarah wants to fit a Berber carpet in her bedroom. She would like it fitted in one piece so that there are no joins. Sarah decides to buy 15 m 2 of underlay for her carpet, together with carpet gripper and a single brass strip (75 cm length) for the door area. “Comfort Carpets” will supply a fitter at a cost of £ 30. The discount offered applies to the carpet only. Paul wants to fit a Royale carpet in his living room. He also wants it fitted in one piece so that there are no joins. Paul decides to buy 24 m 2 of underlay for his carpet, together with carpet gripper and a single brass strip (75 cm length) for the door area. “Comfort Carpets” will supply a fitter at a cost of £ 45. The discount offered applies to the carpet only. £ 3. 50 m 2 75 p/metre 4. 85 m 75 p/metre 2. 85 m £ 2. 50 Not to Scale 75 cm Sarah’s Bedroom (Plan View) 2. 9 m 1. 8 m 5. 7 m Paul’s living room 75 cm 2. 4 m 3. 2 m Worksheet 2 3. 9 m Not to Scale