Standard units and compound measures

There are only 10p coins, 20p coins, 50p coins and £1 coins in a bag. The bar chart shows information about the number of 10p coins and the number of 20p coins in the bag.

There are eight 50p coins in the bag. There are three £1 coins in the bag.

Use this information to complete the bar chart.

Show that the total amount of money in the bag is less than £10

Here is part of a train timetable from Liverpool to Birmingham.

Which train should take the least time to go from Liverpool to Crewe? You must show how you get your answer.

Rose gets to the station in Wolverhampton at 09 25 She wants to catch the next train to Birmingham. This train is delayed by 35 minutes.

How many minutes does Rose have to wait for the train?

Write down a sensible metric unit that could be used to measure

the height of a mountain

the weight of a button.

Nina orders some items from a DIY shop. Here is her bill.

Complete all the missing information in the bill.

At the beginning of January, Jeff had £892.48 in his bank account. During January, Jeff had £4.47 interest added to his account paid £240 into his account spent £365.50 from his account.

How much money did Jeff have in his account at the end of January?

Here is part of a train timetable between Horwich and Manchester.

How long should the 07 46 train from Horwich take to get to Salford?

Barnie has a job interview in Manchester. Barnie takes 6 minutes to walk from his home to the station in Lostock. He will take 8 minutes to walk from the station in Manchester to his interview. Barnie needs to be at the interview no later than 09 00

What is the latest time Barnie can leave his house and be on time for the interview?

The time of Barnie’s interview is changed. Now he has to be at the interview no later than 09 15

What effect does the change of time have on the latest time Barnie can leave his house?

Anil has a job as a driver. He is paid for each mile he drives. He is also paid expenses. One week Anil writes down the distance readings from his car. Start of week: 4 7 2 4 1 miles End of week: 4 7 8 7 9 miles For this week, Anil is paid 47p for each mile he drives. He is also paid expenses of £80 Work out the total amount that Anil is paid. Give your answer in pounds.

Chloe is making scrunchies. Chloe has a large number of hair bands. Each hair band costs 8p. She buys 100 g of wool for £3 Chloe uses 1 hair band and 5 g of wool to make each scrunchy. She makes as many scrunchies as she can. Work out the total cost of each scrunchy that she makes. Give your answer in pence.

Milo is trying to find the area of this rectangle.

He writes, “The area is 400 cm² because 5 × 4 × 5 × 4 = 400”

Explain what is wrong with Milo’s method.

Anya works out the area of a shape. Her answer is 86 cm.

Explain why her answer cannot be fully correct.

12A chess match lasted 3 hours. The match finished at 14 10 At what time did the chess match start?

Max sees this special offer in a shop. Buy one large plate and get one small plate for half the normal price.

The normal price of a large plate is £2 The normal price of a small plate is 80p Max wants to buy 6 large plates and 6 small plates using this offer. He has £15 Has Max got enough money? You must show how you get your answer.

This graph can be used to find the cost of parking a car in a car park for up to 12 hours.

Use the graph to find the cost of parking a car for 4 hours.

Justin drives into the car park at 08 00 in the morning. When he drives out of the car park he has to pay £9

At what time does Justin drive out of the car park?

Wayne begins walking at 8 30 am. He walks for 1 hour and 45 minutes. Wayne then rests for 15 minutes. He then walks for 85 minutes to a cafe. Does Wayne get to the cafe before 12 noon? You must show how you get your answer.

Elena spent 120 minutes at a sports centre. She played badminton for 50 minutes. She used the swimming pool for of the 120 minutes. She used the gym for 20% of the 120 minutes. She then spent the rest of the 120 minutes in the cafe.

Work out the total time, in minutes, that Elena spent in the cafe.

Elena got to the sports centre at 1.30 pm. She had asked her friend to meet her in the cafe at 3 pm.

Did Elena get to the cafe by 3 pm? Give a reason for your answer.

Myles writes down the distance readings from his car at the start and end of a journey. Start of journey 1 2 4 6 8 miles

End of journey 1 2 8 4 5 miles Myles knows that the cost of petrol for this journey is 13p per mile. Work out the total cost of the petrol used for this journey. Give your answer in pounds.

Here is part of a bus timetable between Wigan and Bolton.

How many minutes should the 07 20 bus take to go from Wigan to Lostock?

Alison goes from Blackrod to Bolton by bus. One day Alison leaves her house at 08 00 She takes 7 minutes to walk to the bus stop in Blackrod. She takes 15 minutes to walk from the bus stop in Bolton to work. Alison needs to be at work for 09 20

Will Alison get to work for 09 20? You must show how you get your answer.

7 208 bars of chocolate were sold from a shop. of these bars of chocolate were large bars. The rest of the bars of chocolate were small bars. All the large bars of chocolate were sold for £1 each. All the small bars of chocolate were sold for 60p each. Work out the total amount of money for which the 208 bars of chocolate were sold. Give your answer in pounds.

At the end of October, Fiona’s electricity meter reads 88 738 kWh. At the end of November, her electricity meter reads 89 198 kWh. Each kWh of electricity Fiona uses costs 16p Work out how much Fiona had to pay for the electricity she used in November.

Nimra buys a 3 kg box of sweets for £17.60 She puts the sweets into bags to sell. Each bag contains 150 g of sweets. Nimra fills as many bags as possible. She will sell each bag for the same price. Nimra wants to make a profit of at least 35% Assuming she sells all the bags, what is the lowest price Nimra should charge for each bag?

Danny buys, 1 loaf of bread for £1.20 1 bottle of milk for 70p 2 packets of cheese for £2.30 each packet Danny pays with a £10 note. He says, “I should get £3.30 change.” Is Danny correct? You must show how you get your answer.

What is the time 2 hours 40 minutes after 8.05 am?

Liz is watching a film at the cinema. The film started at 14 30 The film is 105 minutes long. When the film ends, Liz takes 20 minutes to get to the bus stop. A bus leaves the bus stop at 16 45 Does Liz get to the bus stop in time to get this bus? You must show all your working.

Ruth left her home at 9 am and walked to the library. She got to the library at 10 30 am. Ruth walked at a speed of 4 mph.

Work out the distance Ruth walked.

Ruth got to the library at 10 30 am. She stayed at the library for 50 minutes. Then she walked home.

hours to walk home.

At what time did Ruth get home?

Here is part of a train timetable.

Graham gets to the station in Brighton at 07 15

Work out how many minutes he has to wait until 07 22

Work out how long it will take the 07 22 train to get to London.

Liz goes on holiday to South Africa. Liz wants to change £850 into South African rand. She wants to get as many 200 rand notes as possible. The exchange rate is £1 18.53 rand. Work out the greatest number of 200 rand notes that Liz can get for £850

Shaun is 1.88 m tall.

David is 6 cm taller than Shaun.

How tall is David?

Annie sold

45 books at £1.20 each 34 candles at £1.50 each some calendars at 90p each

She got a total of £150

Work out how many calendars Annie sold.

Neil buys 30 pens, 30 pencils, 30 rulers and 30 pencil cases.

What is the total amount of money Neil spends?

Ken buys some fruit.

He buys apples, bananas, peaches and oranges. Ken buys

4 apples weighing 125 g each 2 bananas weighing 170 g each 3 peaches weighing 135 g each

Each orange has a weight of 90 g.

The fruit has a total weight of 1.785 kg.

Work out how many oranges Ken buys.

Jane wants to buy 15 tomatoes. She asks for 1 kg of tomatoes at a shop. Jane assumes that each tomato has a weight of 75 g.

If Jane’s assumption is correct, will she get 15 tomatoes? You must show how you get your answer.

If Jane’s assumption is not correct, could she get 15 tomatoes? Justify your answer.

In London, 1 litre of petrol costs 108.9p In New York, 1 US gallon of petrol costs $2.83

1 US gallon = 3.785 litres £1 = $1.46

In which city is petrol better value for money, London or New York? You must show your working.

The diagram shows a tree and a man.

The man is of average height. The tree and the man are drawn to the same scale.

Write down an estimate for the real height, in metres, of the man.

Find an estimate for the real height, in metres, of the tree.

Davos is a cleaner.

The table shows information about the time it will take him to clean each of four rooms in a house.

Davos wants to clean all four rooms in one day. He will have breaks for a total time of 75 minutes.

Davos is going to start cleaning at 9 am.

Will he finish cleaning by 4 pm? You must show all your working.

Andy went on holiday to Canada. His flights cost a total of £1500

Andy stayed for 14 nights. His hotel room cost $196 per night.

Andy used wifi for 12 days. Wifi cost $5 per day.

The exchange rate was $1.90 to £1

Work out the total cost of the flights, the hotel room and wifi. Give your answer in pounds.

If there were fewer dollars to £1, what effect would this have on the total cost, in pounds, of Andy’s holiday?