Bright Young Things - Maths Booklet Sample

BM5.07

Maths Booklet 7

Name:

Date started:

● Try to work neatly

● Ask for help if you get stuck

● Show how you got your answers

Section A Section B Section C

WM53.3: Addition and Subtraction /10 /20 /20

WM54.1: Visualising and Constructing 3D Shapes

/10 /20 /20

WM513.3: Calculating Space /10 /20 /20

WM58.1: Time Problems /10 /20 /20

© Bright Young Things

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 =


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?


16. 797 + 8728 + 1277 =



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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 =



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WM54.1

Visualising and Constructing 3D Shapes


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) 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)

6.

a) b) c)

7.


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a) b) c)

8.

a) b) c)

9.

a) b) c)

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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WM513.3

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 cm2.

1. Calculate the area of this shape:

2. 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:



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5. l = 15 m, w = 14 m. Find the perimeter of the shape:


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:



13. Find Y:


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16. Find Z:



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 m2. 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 m2 . Find Y:

8. The area of this square is 49 m2 . Find Z:


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WM513.3

9. If each small square represents 1 m2, shade squares until you create a shape that has an area of 15 m2:

10. Now shade squares until you create a shape that has an area of 23 m2:


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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 areaof 16 m2:

14. Shade squares until you create a shape that has an area of 12 m2 and a perimeterof 14 m:


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15. Shade squares until you create a shape that has an area of 20 m2 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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WM513.3

17. Josephine is doing some gardening. She sprays weed killer on her lawn and digs aflower 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 m2 of lawn. How many bottles does sheneed 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


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 17:25How 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 3hours and 40 minutes to get to the top of the mountain and 45 minutes to getback down. What time was it when the hike was finished?

10. Will’s track practice started at 11:40am. Will practised running relays for 50minutes. Then he practised the long jump for 1 hour and 35 minutes. What timedid Will finish?

11. 2 minutes 7 seconds and 29 seconds equates to how many minutes and secondsin 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 92.4 secondsLap 2 Fiona 82.3 secondsLap 3 Harun 80.1 secondsLap 4 Jenny 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 stopbefore 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 Paddington

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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Education

Bright Young Things - Maths Booklet Sample