1. [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 ÷ 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.

2. [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 M1
(their 3500) ÷ 1000 M1
3.5 oe A1
4.5 x 40 = B1
their 180 min (3 hours) min M1
3 hours 25 min A1
10:05 (am) B1
4000 ÷ (their 282.7(....)) DM1
= (433388) A1
Vol of cup = π × 32 × 10 M1
= 14( ) = 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 = B1
1.5 x 4050 = 8100 (m2) < (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 M1 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 ÷ 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 cm A1
Their 720 ÷ M1 A1
= 571 miles B1
571 x ÷ 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 M1
Their 1500cm A1
1500/ 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 × M1
Their × 27 M1 dep
603 A1
600 < 603 so not speeding oe A1
2.5 x M1
75 miles A1
Ave. speed 75 ÷ 3 M1
25mph A1
All 3 stages of calculation
560 ÷ 37.8 x 4.55 x M3
£ A1

3. 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 M1
(their 500) × 7 or 3500 or (their 350) × 10 M1
(their 3500) ÷ M1
3.5 oe A1

4. 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 = B1
their 180 min (3 hours) min M1
3 hours 25 min A1
10:05 (am) B1

5. 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 M1 A1

6. 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 cm A1
Their 720 ÷ M1 A1

7. 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 × M1
Their × 27 M1 dep A1
600 < 603 so not speeding oe A1

8. 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 M3
£ A1

9. 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 M1
75 miles A1
Ave. speed 75 ÷ 3 M1
25mph A1

10. 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 M1
Their 1500cm3 A1
1500/ M1
1.5 litres A1

11. 9 o’clock
Dylan uses the formula,
miles per gallon = miles travelled x ÷ 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.
= 571 miles B1
571 x ÷ M1
41.8(67…) round to 42 mpg A2

12. 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

13. 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 = B1
1.5 x 4050 = 8100 (m2) < (m2) oe B1
Yes, with justification A1

14. 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
= (433388) A1
4000 ÷ (their 282.7(....)) DM1
= 14( ) = A1