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

2. Q1. How much does a 4m length of Berber cost, when cut from the 2m roll? ( before discount). Q2. How much would this be after discount? Q3. Calculate the price per m 2. *

3. Q4. How much does a 3m length of Royale cost, when cut from the 3m roll? ( after discount). Q5. Calculate the price per m 2. Q6. On the 4m roll width, what fraction of the Royale price is the Saxony price? (before discount). *

4. Q7. What is the ratio of the price of Saxony to the price of Berber from the 2m roll? (before discount). Q8. What percentage cost of the 3m roll Berber is the 2m roll Berber? (before discount). Q9. What is the mean and range of Berber carpet prices before discount? *

5. Q10. Jenny wants to buy a 3m x 4m Royale carpet. Which carpet roll width would you advise her to use? (pre-discount). Q11. How much is 10m 2 of Saxony carpet after discount? Q12. What is the price of 15m 2 of Royale after discount? *

6. Sarah’s Bedroom 2.9m 4.85m 1.8m 3.2m Sarah’s Bedroom (Plan View) Q13. Which width of carpet should she choose? Sarah wants to fit a Berber carpet in her bedroom. She would like it fitted in one piece so that there are no joins. Q14. 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? 75 cm Not to Scale © bigstockphoto.com

7. 2.9m 4.85m 1.8m 3.2m Sarah’s Bedroom (Plan View) Q15. How many metres of wooden gripper will she need? (Show your working). 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. 75 p/metre £2.50 £3.50 m 2 75 cm Not to Scale * NB Wooden gripper is not used for the door space!

8. 2.9m 4.85m 1.8m 3.2m Sarah’s Bedroom (Plan View) Q16. Calculate the total cost of having the carpet fitted. 75 cm Carpet: £ Underlay: £ 15m Gripper: £ Brass strip: £ Fitting: £. Total: £ Not to Scale * 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. 75 p/metre £2.50 £3.50 m 2 NB Wooden gripper is not used for the door space!

9. Paul’s Living Room 75 p/metre £2.50 £3.50 m 2 3.9m 5.7m 2.85m 2.4m Paul’s living room 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. Q17. Which width of carpet should he choose? Q18. 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.) Not to Scale 75cm NB Wooden gripper is not used for the door space!

10. 75 p/metre £2.50 £3.50 m 2 3.9m 5.7m 2.85m 2.4m Paul’s living room Not to Scale 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. Q19. How many metres of wooden gripper will he need? (Show your working). 75cm * NB Wooden gripper is not used for the door space!

11. 75 p/metre £2.50 £3.50 m 2 3.9m 5.7m 2.85m 2.4m Paul’s living room Not to Scale 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. Q20. Calculate the total cost of having the carpet fitted. Carpet: £ Underlay: £ 19m Gripper: £ Brass strip: £ Fitting: £. Total: £ 75cm * NB Wooden gripper is not used for the door space!

12. Student Questions Q1. How much does a 4m length of Berber cost, when cut from the 2m roll? ( before discount). Q2. How much would this be after discount? Q3. Calculate the price per m 2. Q4. How much does a 3m length of Royale cost, when cut from the 3m roll? ( after discount). Q5. Calculate the price per m 2. Q6. On the 4m roll width, what fraction of the Royale price is the Saxony price? (before discount). Q7. What is the ratio of the price of Saxony to the price of Berber from the 2m roll? (before discount). Q8. What percentage cost of the 3m roll Berber is the 2m roll Berber? (before discount). Q9. What is the mean and range of Berber carpet prices before discount? Q10. Jenny wants to buy a 3m x 4m Royale carpet. Which carpet roll width would you advise her to use? (pre-discount). Q11. How much is 10m 2 of Saxony carpet after discount? Q12. What is the price 15m 2 of Royale after discount? Student Question Sheet (1)

13. Q13. Which width of carpet should she choose? Q14. 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? Q15. How many metres of wooden gripper will she need? (Show your working). Q16. Calculate the total cost of having the carpet fitted. Q17. Which width of carpet should he choose? Q18. 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.) Q19. How many metres of wooden gripper will he need? (Show your working). Q20. Calculate the total cost of having the carpet fitted. Student Question Sheet (2)

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

15. Worksheet 2 3.9m 5.7m 2.85m 2.4m Paul’s living room Not to Scale 75cm 2.9m 4.85m 1.8m 3.2m Sarah’s Bedroom (Plan View) 75 cm Not to Scale 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. For use with Q13 – Q16 For Use with Q17 – Q20 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. 75 p/metre £2.50 £3.50 m 2 75 p/metre £2.50 £3.50 m 2