Year 5

Problem Solving

Height problem

• John was 50cm long at birth. At the age of 4 he is 86cm. If he grew an equal number of cm each year, how tall will he be when he is 5?

Football problem

• Fulham F.C. drink 4 bottles of lucozade at half-time. There are 27 clubs in the league and they all drink the same amount. If there are 1.5L in each bottle, how many bottles are drunk after 13 games?

Football problem Continued.

• How many litres of Lucozade will be drunk by all the teams in the league?

Football problem Continued ...

• How many litres of Lucozade will be drunk by all the teams in the league?

• There are 11 players in a football team how many ml will each player drink at half-time?

M & M problem

• 5000 M&M went to audition for a new advert. There were 11 members in the Camera crew plus the director and 8 makeup personnel. They were all very very hungry and the mobile canteen had not turned up.

M & M problem

• 5000 M&M went to audition for a new advert. There were 11 members in the Camera crew plus the director and 8 makeup personnel. They were all very very hungry and the mobile canteen had not turned up.

• Each member of the team ate 18 M&M’s, how many M&M’s were left?

M & M problem

• 5000 M&M went to audition for a new advert. There were 11 members in the Camera crew plus the director and 8 makeup personnel. They were all very very hungry and the mobile canteen had not turned up.

• Each member of the team ate 18 M&M’s, how many M&M’s were left?

• Only 5% of the remaining M&M’s were chosen to star in the advert. How many M&M’s were chosen?

Ancient Greek Problem

• The potter has to pummel the clay for 20minutes before he makes his pot. It takes him 40minutes to shape the clay. The clay then dries for 2 days. It is then fired in an oven for 6 hours.

• How long does it take him from start to finish to make his pot?

Ancient Greek Problem cont.

• Ajax took 30 seconds to run 200 metres in the Olympic Games. Oddeyseus took 45 seconds.

• How much later did Odysseus arrive at the finish line?

Ancient Greek Problem continued.

• Jason threw the discus 5 1/2 metres and Ajax threw it 5 1/4

• Who won and how much further did he throw the discus in centimetres?

Ancient Greek Problem continued.

• Jason threw the discus 5 1/2 metres and Ajax threw it 5 1/4

• Who won and how much further did he throw the discus in centimetres?

• Pelis took 10mins to beat Ajax in the fighting contest. He then fought Paris for 30mins and finally Jason for 45mins. How long did Pelis spend fighting.

Greek Football Problem

• If 46 boys try out for the Argonauts football team, but only eleven get picked, how many boys will there be sitting watching the game?

• Each of the eleven boys require a new pair of boots. How many boots will have to be ordered?

Greek Football Problem

• There are 9 studs on each boot. How many studs total are there for the whole team?

Greek Football Problem

• Boots cost £56.99 per pair. How much did it cost to purchase boots for the whole team?

Greek Football Problem Continued.

• Boots cost £56.99 per pair, how much did it cost to purchase boots for the whole team?

• When the boots arrived, half of the boots had no laces, laces come in pairs and cost £1.29. How many laces are needed to be ordered and what was the cost?

Greek Football Problem Continued.

• The Argonaut’s first game is with the Trojans who live 24Km away. The cost of the coach is £1.40 per person with 1 adult free per 8 children. After advertising the first game 97 children and 17 adults requested seats. Each coach seats 57.

• How many coaches are required to take everyone to the game?

Greek Football Problem Continued.

• The Argonaut’s first game is with the Trojans who live 24Km away. The cost of the coach is £1.40 per person with 1 adult free per 8 children. After advertising the first game 97 children and 17 adults requested seats. Each coach seats 57.

• How many coaches are required to take everyone to the game?

• How many empty seats will there be?

Greek Football Problem Continued.

• The Argonaut’s first game is with the Trojans who live 24Km away. The cost of the coach is £1.40 per person with 1 adult free per 8 children. After advertising the first game 97 children and 17 adults requested seats. Each coach seats 57.

• How many coaches are required to take everyone to the game?

• How many empty seats will there be?• How many adults travel for free and how much

do the remaining adults have to pay in total?

Greek Football Problem Continued.

• The Argonaut’s first game is with the Trojans who live 24Km away. The cost of the coach is £1.40 per person with 1 adult free per 8 children. After advertising the first game 97 children and 17 adults requested seats. Each coach seats 57.

• How many coaches are required to take everyone to the game?

• How many empty seats will there be?• How many adults travel for free and how much do

the remaining adults have to pay in total?• What is the total cost of the coaches for the game

between the Argonauts and Trojans?

One step problems

• Joe buys 5 chocolate bars each costing 25p.How much does he buy altogether?

One step problems

• Joe buys 5 chocolate bars each costing 25p.How much does he buy altogether?

• A class of 32 children go swimming. It’s a wet day. 20 children are boys. How many are girls?

One step problems

• Joe buys 5 chocolate bars each costing 25p.How much does he spend altogether?

• A class of 32 children go swimming. It’s a wet day. 20 children are boys. How many are girls?

• If the children enter the pool at 10:15 and swim for 40mins, what time do they leave the pool?

Multi-step problems

• A Man gets on a train at 11:35am. If he arrives at the next station 1/4 of an hour later, what time does he arrive?

Multi-step problems

• A Man gets on a train at 11:35am. If he arrives at the next station 1/4 of an hour later, what time does he arrive?

• A boy watches a video that lasts 75mins and another that lasts 80mins. Can he watch them both in 2 hours? How long do the videos last in minutes/hours?

Multi-step problems

• A man gets on a train at 11:35am. If he arrives at the next station 1/4 of an hour later, what time does he arrive?

• A boy watches a video that lasts 75mins and another that lasts 80mins. Can he watch them both in 2 hours? How long do the videos last in minutes/hours?

• There are 12 chickens in a shed. Each of them lays 3 eggs in a day. How many eggs are laid altogether in a day? A week? In November?

Coach problem

• 250 children and 16 adults are going on a school journey. Each coach seats 52 people. How many coaches are needed for the journey?