### Year 5

```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
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
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
requested seats. Each coach seats 57.
• How many coaches are required to take everyone to
the game?
• How many empty seats will there be?
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
requested seats. Each coach seats 57.
• How many coaches are required to take everyone to
the game?
• How many empty seats will there be?
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?
```