different - the iver village junior school...perth 10.34 10.51 12.34 14.34 14.50 15.15 16.35...

Problem solving – week 3

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Q1. Emma makes a cuboid using 12 cubes.

Write the letter of the cuboid that has a different volume from Emma’s cuboid.

________________________ 1 mark


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Q2. This cuboid is made from centimetre cubes.

It is 4 centimetres by 3 centimetres by 2 centimetres.

What is the volume of the cuboid?

1 mark

Another cuboid is made from centimere cubes.

It has a volume of 30 cubic centimetres.

What could the length, height and width be?

length

height

width

1 mark


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Q3. Cuboids

(a) These cuboids are made from small cubes. Write how many small cubes there are in each cuboid. The first is done for you.

3 marks

(b) This shape is made with two cuboids. Write how many small cubes there are in this shape.

1 mark


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Q4. The cube and cuboid have equal volumes.

Calculate the height of the cuboid.

2 marks


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Q5. Cube A and cuboid B have the same volume.

Calculate the missing length on cuboid B.

2 marks


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Q6. Amina made this cuboid using centimetre cubes.

Stefan makes a cuboid that is 5 cm longer, 5 cm taller and 5 cm wider than Amina’s cuboid.

What is the difference between the number of cubes in Amina’s and Stefan’s cuboids?

2 marks


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Q7. This shape is made of wooden centimetre cubes.

How many more centimetre cubes are needed to make it into a solid cuboid 3 cm tall, 5 cm long and 5 cm wide?

1 mark

Q8. Here is the morning timetable for Chen’s class this week.

Time Mon Tue Wed Thu Fri

9:00 am – 10:30 am Maths English Maths English Maths

10:30 am – 11:00 am Break Break Break Break Break

11:00 am – 12:00 pm English Maths Science Maths English

What is the total number of hours for English on this timetable?

1 mark


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Q9. A clock shows this time.

How long is it from this time until 5pm? 1 mark

What time was it quarter of an hour before the time on the clock?

1 mark

Q10.

These are the radio programmes one morning.

7.00 Music show

7.55 Weather report

8.00 News

8.15 Travel news

8.25 Sport

8.45 Holiday programme


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Josh turns the radio on at 7:25am.

How many minutes does he have to wait for the Weather report?

1 mark

The Holiday programme lasts for 40 minutes.

At what time does the Holiday programme finish?

1 mark

Q11.

A film starts at 6:45pm.

It lasts 2 hours and 35 minutes.

What time will the film finish?

1 mark


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Q12. Here are the sunrise and sunset times for some days in July.

Date Sunrise Sunset

7th

14th

21st

28th

04:53

05:00

05:09

05:18

21:18

21:12

21:05

20:55

How many minutes earlier is the sunset on 28th July than on 7th July?

1 mark

Q13. Here is the calendar for August 1998.

Simon's birthday is on August 20th.

In 1998 he had a party on the Sunday after his birthday. What was the date of his party?

1 mark


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Tina's birthday is on September 9th.

On what day of the week was her birthday in 1998?

1 mark

Q14. How many seconds are there in a day?

1 mark

Q15. This table shows when flights take off at an airport.

Flight number Destination Take-off time

AX40 Paris 13:35

BH253 Berlin 14:05

CG008 Rome 15:25

DP369 Paris 15:40

EZ44 Lisbon 16:15

FJ994 Dublin 17:25

How many flights take off between 3pm and 5pm?

1 mark

How much later does the second flight to Paris take off than the first?

1 mark


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The flight to Dublin takes 50 minutes.

What time does it arrive in Dublin?

1 mark

Q16. William wants to travel to Paris by train.

He needs to arrive in Paris by 5:30 pm.

Circle the latest time that William can leave London.

Leaves London Arrives Paris

12:01 15:22

12:25 15:56

13:31 16:53

14:01 17:26

14:31 17:53

15:31 18:53

16:01 19:20

1 mark


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Q17. Here is part of the morning bus timetable from Winton to Yansley.

Winton 9:35 9:55 10:15 10:35

Ingham 9:45 10:05 10:25 10:45

Carston 10:01 10:21 10:41 11:01

Dubley 10:23 10:43 11:03 11:23

Yansley 10:55 11:15 11:35 11:55

How many minutes does the bus take to get from Ingham to Dubley?

1 mark

Megan is in Carston.

She wants to be in Yansley before 11:30

What is the time of the latest bus she can take from Carston?

1 mark

One morning, the 10:35 bus from Winton gets to Carston 3 minutes early.

What time does it get to Carston?

1 mark


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Q18. Here is part of the bus timetable from Riverdale to Mott Haven.

Riverdale 10:02 10:12 10:31 10:48

Kingsbridge 10:11 10:21 10:38 10:55

Fordham 10:28 10:38 10:54 11:11

Tremont 10:36 10:44 11:00 11:17

Mott Haven 10:53 11:01 11:17 11:34

How many minutes does it take the 10:31 bus from Riverdale to reach Mott Haven?

1 mark

Mr Evans is at Fordham at 10:30

What is the earliest time he can reach Tremont on the bus?

1 mark

Q19. Annie finishes school at ten past 3 in the afternoon.

Circle the 24 hour clock that shows ten past 3 in the afternoon.

1 mark


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Q20.

Here is part of the morning train timetable from Perth to Midland in Australia.

Perth 07:11 07:20 07:27 07:35 07:43 07:55

Maylands – 07:28 07:33 07:43 07:49 08:03

Ashfield – – 07:38 – 07:54 –

Success Hill 07:25 – 07:41 – 07:57 –

Midland 07:32 07:41 07:48 07:56 08:05 08:16

What time is the first train from Maylands that stops at Success Hill?

1 mark

Mr Evans is in Perth and wants to be in Midland by 08:00

What is the time of the latest train he can take from Perth?

1 mark


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Q21.

Here is part of a train timetable.

Edinburgh – 09.35 – – 13.35 – –

Glasgow 09.15 – 11.15 13.15 – 13.45 15.15

Stirling 09.57 – 11.57 13.57 – 14.29 15.57

Perth 10.34 10.51 12.34 14.34 14.50 15.15 16.35

Inverness – 13.10 – – 17.05 – –

How long does the first train from Edinburgh take to travel to Inverness?

1 mark

Ellen is at Glasgow station at 1.30 pm.

She wants to travel to Perth.

She catches the next train.

At what time will she arrive in Perth?

1 mark


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Q22.

At what time does the castle close on Wednesday July 15th?

1 mark

For which months is the castle open seven days a week?

___________________________________________________________________ 1 mark

On Sunday March 8th John goes into the castle at 3pm.

He stays until closing time. For how many hours does he stay in the castle?

1 mark


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different - the iver village junior school...perth 10.34 10.51 12.34 14.34 14.50 15.15 16.35...

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