BM5.07
Maths Booklet 7
Name:
Date started:
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Try to work neatly
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Ask for help if you get stuck
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Show how you got your answers
Section A
Section B
Section C
WM53.3: Addition and Subtraction
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/20
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WM54.1: Visualising and Constructing 3D
Shapes
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/20
/20
WM513.3: Calculating Space
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/20
/20
WM58.1: Time Problems
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WM53.3
Addition and Subtraction
➔ Work neatly and write all answers in the space provided
➔ Try to have a go at each question
➔ Make sure you show your working out
Section A - Practice
1. 118 + ☐ = 834.
What number does ☐ stand for?
2. 226 - ☐ = 44.
What number does ☐ stand for?
3. 1742 + 7282 =
4. 860 - ☐ = 465.
What number does ☐ stand for?
5. 44 + 90 + 82 =
6.
4212 + 8545 =
7. 20 + 7 + 28 =
8. 9526 – 3438 =
9. 5028 + 1950 =
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10. 129 + ☐ = 174.
What number does ☐ stand for?
Section B - Thinking about it
1. 1 + 63 - 48 =
2. 3464 – 1874 =
3. 562 + 182 + 31 =
4. 52 + 100 - 6 =
5. 2566 + 680 + 6703 =
6.
7278 – 1812 =
7. 5645 + 9451 =
8. 411450 – 212826 =
9. Jessica had 41 peaches left at her roadside fruit stand. She went to the orchard
and picked more peaches to stock up the stand. There are now 54 peaches at the
stand, how many did she pick?
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10. 78 + 38 - 94 =
11. 717514 – 274585 =
12. 4757 + 619 + 7315 =
13. 995 + 39 - 38 =
14. There were 2 roses in the vase. Nancy cut some more roses from her flower
garden. There are now 17 roses in the vase. How many roses did she cut?
15. 637494 – 389324 =
16. 165 + 40 - 143 =
17. Fred received 88 dollars for his birthday. He went to a sporting goods store and
bought a baseball glove, baseball, and bat. He had 43 dollars left over, how much
did he spend on the baseball gear?
18. 785 + 388 + 47 =
19. 1877 + 3434 + 2029 =
20. 734 + 99 - 749 =
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Section C - Extended Practice
1. Sara found 21 seashells, Tim found 31 seashells, and Mary found 14 seashells on the
beach. How many seashells did they find together?
2. 371610 – 143699 =
3. 31498 + 48390 + 51075 =
4. There were two red roses and three white roses in the vase. Sally cut some more
roses from her flower garden. There are now fifteen red roses in the vase. How
many red roses did she cut?
5. 912 - 547 - 23 =
6.
Mary has 25 blue balloons, Jason has 35 blue balloons, and Keith has 41 blue
balloons. How many blue balloons do they have in total?
7. 6026 + 3674 + 6006 =
8. 578 - 574 - 0 =
9. Last week Fred had 23 dollars and Mike had 24 dollars. Fred washed cars over the
weekend and now has 58 dollars. How much money did Fred make washing cars?
10. 726 - 419 - 162 =
11. 2728 - 164 - 1353 =
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12. Melanie had 21 peaches and 45 pears left at her roadside fruit stand. She went to
the orchard and picked more peaches to stock up the stand. There are now 69
peaches at the stand, how many did she pick?
13. 831789 - 381066 =
14. Nancy had twenty-four baseball cards. Tim gave her twenty-six new baseball
cards. Nancy bought twenty-two baseball cards. How many baseball cards does
Nancy have now?
15. 97553722 - ☐ = 63056653.
What number does ☐ stand for?
16. 797 + 8728 + 1277 =
17. 566674 - ☐ = 417422.
What number does ☐ stand for?
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18. Tim went to seventeen baseball games this year, but missed twelve. He went to
fourteen games last year and plans to go to sixteen games next year. How many
baseball games will Tim go to in all?
19. 1859 + 1378 + 4155 =
20. 8414597 - ☐ = 554189.
What number does ☐ stand for?
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WM54.1
Visualising and Constructing 3D
Shapes
➔ Work neatly and write all answers in the space provided
➔ Try to have a go at each question
➔ Make sure you show your working out
Section A - Practice
1. Label a face, edge and vertex on the shape below =
2. Explain what the net of a 3D shape is =
3. Name the 3D shape below =
4. What is the full name of the pyramid below? =
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5 - 10. Match up the 2D shapes below with their 3D equivalents =
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Section B - Thinking about it
1. Name the following shape and shade in one of its faces =
2. How many faces does the shape in question 1 have in total? =
3. Name the following shape and label one of its vertices =
4. How many vertices does the shape in question 3 have in total? =
5. Name the following shape and label one of its edges =
6.
How many edges does the shape in question 5 have in total? =
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7. Which of the following shapes have 6 faces, 12 edges and 8 vertices? =
a)
b)
c)
8. Name the shapes in question 7 =
9. Which of the following shapes have 5 faces, 8 edges and 5 vertices? =
a)
b)
c)
10. Name the shapes in question 9 =
11. Label the two shapes below, and explain how they differ =
a)
b)
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12. I have more than 2 faces. None of my faces are circles. I have at least one square
face. Some of my faces are triangles. Who am I? =
a)
b)
c)
13. I have more than two vertices. Some of my faces are not rectangular faces. I have
no triangular faces. I have 8 faces in total. Who am I? =
a)
b)
c)
14. Which of the following nets will make a cuboid? =
a)
b)
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c)
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15. What shape will the below net make? =
16. What shape will the below net make? =
17. What is wrong with the cuboid below? Draw lines to correct it =
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18. What is wrong with the hexagonal prism below? Draw lines to correct it =
19. Draw a triangular prism below =
20. Draw the net for a square-based pyramid below =
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Section C - Extended Practice
1. Name the 3D shape below =
2. Name the 3D shape below=
3. Name the 3D shapes in the picture below =
4. Complete the sketch of a cuboid below =
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For questions 5-10, find the nets to the given 3D shapes =
5.
a)
b)
c)
b)
c)
6.
a)
7.
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a)
b)
c)
b)
c)
b)
c)
8.
a)
9.
a)
10.
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a)
b)
c)
11. Name the shape below =
12. How many vertices, edges and faces does the shape in question 11 have? =
13. What shape is a football? =
14. Sketch the missing parts of the 3x3 cube below =
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15. How many cubes are there in the shape below? =
16. The net below is folded to make a 3D shape. What is the name of the shape? =
17. Complete the sketch of a cone below =
18. Add the missing parts to the net below in order to make a cuboid =
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19. Complete the sketch of the triangular prism below =
20. What 3D shape is a globe of the world? =
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Calculating Space
➔ Work neatly and write all answers in the space provided
➔ Try to have a go at each question
➔ Make sure you show your working out
Section A - Practice
In this section, each small square represents 1 cm​2​.
1. Calculate the area of this shape:
2. And now the perimeter:
3. Calculate the area of this shape:
4. And now the perimeter:
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5. Calculate the area of this shape:
6. And now the perimeter:
7. Calculate the area of this shape:
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8. And now the perimeter:
9. Calculate the area of this shape:
10. And now the perimeter:
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Section B - Thinking about it
1. l = 5 cm, w = 2cm. Find the perimeter of the shape:
2. And now the area:
3. l = 7 cm, w = 5cm. Find the perimeter of the shape:
4. And now the area:
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5. l = 15 m, w = 14 m. Find the perimeter of the shape:
6. And now the area:
7. Find W:
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8. Now find the perimeter of the polygon:
9. Now find the area of the polygon:
10. Find X:
11. Now find the perimeter of the polygon:
12. Now find the area of the polygon:
13. Find Y:
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14. Now find the perimeter of the polygon:
15. Now find the area of the polygon:
16. Find Z:
17. Now find the perimeter of the polygon:
18. Now find the area of the polygon:
19. Explain what the perimeter of a shape means:
20. Explain what the area of a shape means:
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WM513.3
Section C - Extended Practice
1. Write down the formula for the area of a rectangle (length = l, width = w):
2. Write down the formula for the perimeter of a rectangle (length = l, width = w):
3. Write down the formula for the area of a square (length = l):
4. Write down the formula for the perimeter of a square (length = l):
5. The area of this shape is 21 m​2​. Find W:
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6. The perimeter of this shape is 10 m. Find X:
7. The area of this rectangle is 32 m​2​. Find Y:
8. The area of this square is 49 m​2​. Find Z:
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9. If each small square represents 1 m​2,​ shade squares until you create a shape that
has an area of 15 m​2​:
10. Now shade squares until you create a shape that has an area of 23 m​2​:
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11. Now shade squares until you create a shape that has a perimeter of 12 m:
12. Now shade squares until you create a shape that has a perimeter of 32 m:
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13. Shade squares until you create a shape that has a perimeter of 16 m and an area
of 16 m​2​:
14. Shade squares until you create a shape that has an area of 12 m​2​ and a perimeter
of 14 m:
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15. Shade squares until you create a shape that has an area of 20 m​2​ and a
perimeter of 18 m:
16. Sandy has 6 square coasters. Each side is 5 cm in length. If she connects each
coaster together in single a straight line, what would be the area of the shape she
created?
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17. Josephine is doing some gardening. She sprays weed killer on her lawn and digs a
flower bed around the edge of the lawn. The following diagram shows her lawn:
What is the area of her lawn?
18. What is the perimeter of her lawn?
19. Each bottle of weed killer will cover 7.5 m​2 ​of lawn. How many bottles does she
need in total to cover the whole lawn?
20. If she were to plant a rose bush once every 2 m around the perimeter of her lawn,
how many rose bushes would she need?
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WM58.1
Time problems
➔ Work neatly and write all answers in the space provided
➔ Try to have a go at each question
➔ Make sure you show your working out
Section A - Practice
1.
How many minutes are there in an hour ?
2.
How many years are there in a decade?
3.
How many decades are there in a century ?
4.
How many seconds are there in an hour?
5.
How many seconds are there in 5 minutes?
6.
How many days are there in December?
7.
Describe 30 seconds in minutes as a fraction?
8.
The race began at 8:45 and finished at 15:35. How long did the race last?
9.
The sun sets at 19:30 and rises again at 06:30. How many hours elapse?
10.
A train leaves at 9:45 am and arrives at 2:45 pm. How long does the journey last?
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WM58.1
Section B - Thinking about it
1.
These are the start and stop times on a video recorder:
Start. 13:45 Stop 17:25
How long was the video recording?
2.
Write 1pm as a 24 hour time.
3.
Write 3pm as a 24 hour time.
4.
Write 16:00 as a 12 hour time.
5.
5 quarter hours make up how many minutes?
6.
How many hours are there in a quarter of a day
7.
How many decades are there in 1/10 of a century?
8.
What is 1 day 17 hours minus 15 hours in days and hours?
9.
Alan hiked to the top of a mountain. He started the hike at 11.05am. It took 3
hours and 40 minutes to get to the top of the mountain and 45 minutes to get
back down. What time was it when the hike was finished?
10.
Will’s track practice started at 11:40am. Will practised running relays for 50
minutes. Then he practised the long jump for 1 hour and 35 minutes. What time
did Will finish?
11.
2 minutes 7 seconds and 29 seconds equates to how many minutes and seconds
in total?
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12.
Five years is what fraction of a decade?
13.
280 minutes equates to how many hours and minutes?
14.
How many days are there in a leap year?
15.
Write 16:30 in 12 hour time.
16.
Write 15:35 as a 12 hour time.
17.
Write 10am as a 24 hour time.
18.
Write 3am as a 24 hour time.
19.
2 years is what fraction of a century?
20.
252 seconds equates to how many minutes and seconds?
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Section C - Extended practice
1.
How many days are there in November and December?
2.
Write 8am as a 24 hour time?
3.
4 weeks + 1 week and 5 days equates to how many weeks and days in total?
4.
How many years are there in ⅕ of a decade
5.
Four children in a relay team swim in a race. Here are their times for each lap:
Lap 1 Craig
Lap 2 Fiona
Lap 3 Harun
Lap 4 Jenny
92.4 seconds
82.3 seconds
80.1 seconds
91.8 seconds
What is the total time for the four laps?
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6.
Have a look at the table below.
Birmingham
New St
09:30
10:05
11:05
12:35
Birmingham
International
09:50
10:15
11:15
12:45
Coventry
10:10
10:30
11:30
13:00
Leamington
Spa
10:25
____
11:45
13:15
Banbury
10:45
____
12:05
____
Oxford
11:00
11:15
12:20
13:50
Reading
11:30
11:50
12:50
14:20
What time does the 09:30 train from Birmingham New Street arrive at Reading?
7.
Which is the slowest train from Birmingham New Street to Reading?
8.
At how many stations does the 10:15 train from Birmingham International stop
before it reaches Reading?
9.
How long does it take the 13:50 train from Oxford to reach Reading?
10.
You have to arrive at Oxford by 2pm. Which train could you catch from Coventry?
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11.
You get to Leamington Spa at 9:30. How long will you have to wait for a train to
Reading?
12.
Have a look at the table below:
London
Paddingt
on
12:35
13:15
13:45
14:15
14:45
15:10
Reading
13:11
13:41
14:11
14:41
15:11
15:41
Didcot
Parkway
____
15:56
____
14:56
____
15:56
Swindon
13:38
14:13
14:38
15:13
15:38
16:13
Bristol
Parkway
14:07
14:40
15:07
15:40
16:07
16:30
Clem has been to a museum in London. She gets back to London Paddington at
twenty past two in the afternoon. When is the next train to Reading?
13.
Sarah lives in Swindon. She wants to get to Bristol Parkway so she can get to
her hospital appointment in time. What train does she need to catch to get to
her appointment at five minutes to four?
14.
Sahid has arranged to meet his friends at Didcot Parkway at 3pm. Which train
does he need to catch from Reading?
15.
How long does it take to get from London to Bristol Parkway if the train does not
stop at Didcot Parkway?
16.
Sally needs to get to Swindon by 13:50. If she is leaving from London which train
should she take?
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17.
How many days are there in a normal year?
18.
How many weeks are there in 2 years?
19.
How many quarter hours are there in half an hour?
20.
What does 4 days 9 hours minus 3 days 4 hours equate to?
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