[4] Measures – speed, distance, time, area, volume, -Minimum width is 45m -Maximum width is double minimum width Football (rectangular) pitch dimension rules: Jane says ‘the maximum area of a pitch is at least 50% greater than the minimum -Maximum length is 120m -Minimum length is ¾ of maximum length area.’ Is she correct? Justify your answer. A large carton contains 4 litres (4000 cm3) of orange juice. Cylindrical glasses of height 10 cm and radius 3 cm are to be filled from the carton. How many glasses can be filled? The weight of a 2p coin is 7g. Find the weight of £10 worth of 2p coins. Give your answer in kilograms. She uses the rule ‘Cook for 40 minutes per kg and then add 25 minutes.’ A chef needs to cook a 4.5 kg turkey, to be ready for 1:30pm. What is the latest time she should begin cooking the turkey? A cardboard box, in the shape of a cuboid measures 45cm by 26cm by 23cm. Small wooden blocks are cubes of length 5 cm. What is the maximum number of blocks that can be packed in the cardboard box? Anne travelled 200 miles by car from Preston to Bristol. Her car clock showed 13:25 at the start of her journey. She stopped at the services at 3:40pm. At 4.05pm, she continued on her journey. When she arrived at Bristol her car clock showed 17:50. What was her average speed whilst driving? Dylan uses the formula miles per gallon = miles travelled x 4.546 ÷ litres of fuel used One weekend, Dylan travelled by car from Holyhead to Swindon. He then went to Cardiff before returning to Holyhead. The distance travelled: Holyhead to Swindon was 256 miles; Swindon to Cardiff was 88 miles; Cardiff to Holyhead 227 miles. He used a total of 62 litres of fuel. Calculate the mpg for his car to the nearest whole number. A gold bar, in the shape of a cuboid, measuring 20cm by 8cm by 4.5cm is melted down to make small cubes of sides 2cm. How many small cubes can be made from the gold bar? A rectangular tank has a length of 20cm, width of 15cm and height of 10cm. Water is poured into the tank until it is half full. Calculate the volume of water in litres (1000cm3 = 1 litre). Measures – speed, distance, time, area, volume, The speed limit through some roadworks is 50mph. Cameras recorded the time taken for a car to travel 600m through the roadworks as 27 seconds. 10 mph is approximately 4.47 m/s Was the car speeding through the roadworks? Nicola drove from her home to her friend’s house. It took her two and a half hours, driving at an average speed of 30mph. Her return journey, along the same route, took three hours. Calculate her average speed home. During April, Laura drove a total of 560 miles in her car. Her car’s fuel consumption was 37.8 mpg. Petrol cost £1.48 per litre. 1 gallon = 4.55 litres. Calculate the cost of petrol she used.

[4] 4.5 x 40 = 180 B1 their 180 min (3 hours) + 25 min M1 (their 500) × 7 or 3500 or (their 350) × 10 M1 10 × 50 or 500 or 50 × 7 or 350 M1 (their 3500) ÷ 1000 M1 3.5 oe A1 4.5 x 40 = 180 B1 their 180 min (3 hours) + 25 min M1 3 hours 25 min A1 10:05 (am) B1 4000 ÷ (their 282.7(....)) DM1 = 282.7 (433388) A1 Vol of cup = π × 32 × 10 M1 = 14(.14710...) = 14 A1 -Minimum width is 45m -Maximum width is double minimum width Football (rectangular) pitch dimension rules: Jane says ‘the maximum area of a pitch is at least 50% greater than the minimum -Maximum length is 120m -Minimum length is ¾ of maximum length area.’ Is she correct? Justify your answer. A large carton contains 4 litres (4000 cm3) of orange juice. Cylindrical glasses of height 10 cm and radius 3 cm are to be filled from the carton. How many glasses can be filled? The weight of a 2p coin is 7g. Find the weight of £10 worth of 2p coins. Give your answer in kilograms. She uses the rule ‘Cook for 40 minutes per kg and then add 25 minutes.’ A chef needs to cook a 4.5 kg turkey, to be ready for 1:30pm. What is the latest time she should begin cooking the turkey? Max width 90m and min length is 90m B1 Max area 90 x 120 = 10800, and Min area 45 x 90 = 4050 B1 1.5 x 4050 = 8100 (m2) < 10800 (m2) oe B1 Yes, with justification A1 A cardboard box, in the shape of a cuboid measures 45cm by 26cm by 23cm. Small wooden blocks are cubes of length 5 cm. What is the maximum number of blocks that can be packed in the cardboard box? Anne travelled 200 miles by car from Preston to Bristol. Her car clock showed 13:25 at the start of her journey. She stopped at the services at 3:40pm. At 4.05pm, she continued on her journey. When she arrived at Bristol her car clock showed 17:50. What was her average speed whilst driving? Method to find number of blocks that can fit in length, width and height M2 9 x 5 x 4 M1 180 A1 Time driving 2 hrs 15 min + 1hr 45 min = 4 hrs B2 Ave. speed 200 ÷ 4 M1 50mph A1 Dylan uses the formula miles per gallon = miles travelled x 4.546 ÷ litres of fuel used One weekend, Dylan travelled by car from Holyhead to Swindon. He then went to Cardiff before returning to Holyhead. The distance travelled: Holyhead to Swindon was 256 miles; Swindon to Cardiff was 88 miles; Cardiff to Holyhead 227 miles. He used a total of 62 litres of fuel. Calculate the mpg for his car to the nearest whole number. A gold bar, in the shape of a cuboid, measuring 20cm by 8cm by 4.5cm is melted down to make small cubes of sides 2cm. How many small cubes can be made from the gold bar? 20 x 8 x 4.5 or 2 x 2 x 2 M1 720cm3 or 8 cm3 A1 Their 720 ÷ 8 M1 90 A1 256 + 88 + 227 = 571 miles B1 571 x 4.546 ÷ 62 M1 41.8(67…) round to 42 mpg A2 A rectangular tank has a length of 20cm, width of 15cm and height of 10cm. Water is poured into the tank until it is half full. Calculate the volume of water in litres (1000cm3 = 1 litre). Measures – speed, distance, time, area, volume, The speed limit through some roadworks is 50mph. Cameras recorded the time taken for a car to travel 600m through the roadworks as 27 seconds. 10 mph is approximately 4.47 m/s Was the car speeding through the roadworks? 20 x 15 x 5 M1 Their 1500cm3 A1 1500/1000 M1 1.5 litres A1 Nicola drove from her home to her friend’s house. It took her two and a half hours, driving at an average speed of 30mph. Her return journey, along the same route, took three hours. Calculate her average speed home. During April, Laura drove a total of 560 miles in her car. Her car’s fuel consumption was 37.8 mpg. Petrol cost £1.48 per litre. 1 gallon = 4.55 litres. Calculate the cost of petrol she used. 5 × 4.47 M1 Their 22.35 × 27 M1 dep 603 A1 600 < 603 so not speeding oe A1 2.5 x 30 M1 75 miles A1 Ave. speed 75 ÷ 3 M1 25mph A1 All 3 stages of calculation 560 ÷ 37.8 x 4.55 x 1.48 M3 £99.76 A1

1 o’clock The weight of a 2p coin is 7g. Find the weight of £10 worth of 2p coins. Give your answer in kilograms. 10 × 50 or 500 or 50 × 7 or 350 M1 (their 500) × 7 or 3500 or (their 350) × 10 M1 (their 3500) ÷ 1000 M1 3.5 oe A1

2 o’clock 4.5 x 40 = 180 B1 their 180 min (3 hours) + 25 min M1 A chef needs to cook a 4.5 kg turkey, to be ready for 1:30pm. She uses the rule ‘Cook for 40 minutes per kg and then add 25 minutes.’ What is the latest time she should begin cooking the turkey? 4.5 x 40 = 180 B1 their 180 min (3 hours) + 25 min M1 3 hours 25 min A1 10:05 (am) B1

3 o’clock A cardboard box, in the shape of a cuboid measures 45cm by 26cm by 23cm. Small wooden blocks are cubes of length 5 cm. What is the maximum number of blocks that can be packed in the cardboard box? Method to find number of blocks that can fit in length, width and height M2 9 x 5 x 4 M1 180 A1

4 o’clock 20 x 8 x 4.5 or 2 x 2 x 2 M1 720cm3 or 8 cm3 A1 A gold bar, in the shape of a cuboid, measuring 20cm by 8cm by 4.5cm is melted down to make small cubes of sides 2cm. How many small cubes can be made from the gold bar? 20 x 8 x 4.5 or 2 x 2 x 2 M1 720cm3 or 8 cm3 A1 Their 720 ÷ 8 M1 90 A1

5 o’clock 5 × 4.47 M1 Their 22.35 × 27 M1 dep 603 A1 The speed limit through some roadworks is 50mph. Cameras recorded the time taken for a car to travel 600m through the roadworks as 27 seconds. 10 mph is approximately 4.47 m/s Was the car speeding through the roadworks? 5 × 4.47 M1 Their 22.35 × 27 M1 dep 603 A1 600 < 603 so not speeding oe A1

6 o’clock All 3 stages of calculation 560 ÷ 37.8 x 4.55 x 1.48 M3 During April, Laura drove a total of 560 miles in her car. Her car’s fuel consumption was 37.8 mpg. Petrol cost £1.48 per litre. 1 gallon = 4.55 litres. Calculate the cost of petrol she used. All 3 stages of calculation 560 ÷ 37.8 x 4.55 x 1.48 M3 £99.76 A1

7 o’clock 2.5 x 30 M1 75 miles A1 Ave. speed 75 ÷ 3 M1 25mph A1 Nicola drove from her home to her friend’s house. It took her two and a half hours, driving at an average speed of 30mph. Her return journey, along the same route, took three hours. Calculate her average speed home. 2.5 x 30 M1 75 miles A1 Ave. speed 75 ÷ 3 M1 25mph A1

8 o’clock 20 x 15 x 5 M1 Their 1500cm3 A1 1500/1000 M1 1.5 litres A1 A rectangular tank has a length of 20cm, width of 15cm and height of 10cm. Water is poured into the tank until it is half full. Calculate the volume of water in litres 1000cm3 = 1 litre). 20 x 15 x 5 M1 Their 1500cm3 A1 1500/1000 M1 1.5 litres A1

9 o’clock Dylan uses the formula, miles per gallon = miles travelled x 4.546 ÷ litres of fuel used One weekend, Dylan travelled by car from Holyhead to Swindon. He then went to Cardiff before returning to Holyhead. The distance travelled: Holyhead to Swindon was 256 miles; Swindon to Cardiff was 88 miles; Cardiff to Holyhead 227 miles. He used a total of 62 litres of fuel. Calculate the mpg for his car to the nearest whole number. 256 + 88 + 227 = 571 miles B1 571 x 4.546 ÷ 62 M1 41.8(67…) round to 42 mpg A2

10 o’clock Time driving 2 hrs 15 min + 1hr 45 min = 4 hrs B2 Anne travelled 200 miles by car from Preston to Bristol. Her car clock showed 13:25 at the start of her journey. She stopped at the services at 3:40pm. At 4.05pm, she continued on her journey. When she arrived at Bristol her car clock showed 17:50. What was her average speed whilst driving? Time driving 2 hrs 15 min + 1hr 45 min = 4 hrs B2 Ave. speed 200 ÷ 4 M1 50mph A1

11 o’clock Max width 90m and min length is 90m B1 Football (rectangular) pitch dimension rules: -Minimum width is 45m -Maximum width is double minimum width -Maximum length is 120m -Minimum length is ¾ of maximum length Jane says ‘the maximum area of a pitch is at least 50% greater than the minimum area.’ Is she correct? Justify your answer. Max width 90m and min length is 90m B1 Max area 90 x 120 = 10800, and Min area 45 x 90 = 4050 B1 1.5 x 4050 = 8100 (m2) < 10800 (m2) oe B1 Yes, with justification A1

12 o’clock Vol of cup = π × 32 × 10 M1 = 282.7 (433388) A1 A large carton contains 4 litres (4000 cm3) of orange juice. Cylindrical glasses of height 10 cm and radius 3 cm are to be filled from the carton. How many glasses can be filled? Vol of cup = π × 32 × 10 M1 = 282.7 (433388) A1 4000 ÷ (their 282.7(....)) DM1 = 14(.14710...) = 14 A1