Question 1
It takes 4 people 2 days to build a wall.
How long would it take for 2 people to build the same wall.
Give your answer in days.
ANSWER: Simple text answer
Answer: 4
Workings:
4 people \times 2 days = 8 days of total work
8 \div 2 = 4Marks = 2
Question 2
12 students need to drink a total of 3 litres of water over the course of an activity.
How much water would be needed for 20 students during the same activity?
Give your answer in litres.
ANSWER: Simple text answer
Answer: 5
Workings:
3 litres \div 12 = 0.25 litres per student
for 20 students they would need 5 litres
Marks = 2
Question 3
3 friends want to go for a hike.
They pack enough water to last for 6 hours.
3 more people join the hike.
How long will their water last now?
Give your answer in hours.
ANSWER: Simple text answer
Answer: 3
Workings:
18 hours of water in total per 3 walkers = 6 hrs
for 6 walkers they have 3 hrs worth of water
Marks = 2
Question 4
4(a) It takes 4 people 2 hours to tidy a house on a building site.
How long would it take if 8 people offered to tidy the same house?
Give your answer in hours.
ANSWER: Simple text answer
Answer: 1
Workings:
4 people \times 2 hours = 8 hours of work total
1 hour each for 8 people
Marks = 2
4(b) The time taken to build a house is inversely proportional to the number of builders.
If there are 6 builders, it takes 80 days to complete the house.
How many builders must be employed to build the house in just 16 days?
ANSWER: Simple text answer
Answer: 30
Workings:
6 builders \times 80 days = 480 work days in total
480 \div 16 = 30 people
Marks = 2
Question 5
Steve drove at 30 mph for 30 minutes.
If he travels at 60 mph over the same distance, how long would it take?
Give your answer in minutes.
ANSWER: Simple text answer
Answer: 15
Workings:
speed \times time = distance
30 mph \times 0.5 hrs = 15 miles
15 miles \div 60 mph = 0.25 hrs = 15 mins
Marks = 3
Question 6
A castle under siege has enough food for 300 men for 90 days.
After 40 days, 150 men have left the castle.
How long would the food last at the same rate of consumption?
Give your answer in days.
ANSWER: Simple text answer
Answer: 100
Workings:
300 men \times 90 days of food = 27,000 days worth of food for one person
300 men \times 40 days of food = 12,000 days worth of food for one person used
15000 days of food \div 150 men = 100 days worth of food left
Marks = 3
Question 7
It takes 22 hours for a hosepipe with a flow of 12 litres per minute to fill a swimming pool.
How long will it take if its flow is reduced to 5 litres per minute?
Give your answer in hours.
ANSWER: Simple text answer
Answer: 52.8
Workings:
22 hrs \times 720 litres per hr =15840 litres needed
15840 litres \div 300 litres per hr =52.8 hrs
Marks = 2