Half-termly Assessments · 2018-08-10 · There is a separate test for each half term, focused on the concepts covered in that half term. For an overview of the units and concepts

Half-termly Assessments

Year

5Steph King

Series Editor: Caroline Clissold

425477_RSM Y5 Half-termly Assessments cover artwork.indd 1 9/6/17 2:58 PM425477_FM_Math_HTPT_Y5_i-x.indd 1 9/20/17 7:42 AM

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ISBN: 978 1 5104 2547 7

© Rising Stars UK Ltd 2017

First published in 2017 by Rising Stars UK Ltd, part of the Hodder Education Group,An Hachette UK Company Carmelite House50 Victoria EmbankmentLondon EC4Y 0DZ

www.risingstars-uk.com

Impression number 10 9 8 7 6 5 4 3 2 1Year 2019 2018 2017

All rights reserved. Apart from any use permitted under UK copyright law, the material in this publication is copyright and cannot be photocopied or otherwise produced in its entirety or copied onto acetate without permission. Electronic copying is not permitted. Permission is given to teachers to make copies of individual pages marked © Rising Stars UK Ltd, you may photocopy this page, for classroom distribution only, to pupils within their own school or educational institution. The material may not be copied in unlimited quantities, kept on behalf of others, distributed outside the purchasing institution, copied onwards, sold to third parties, or stored for future use in a retrieval system. This permission is subject to the payment of the purchase price of the book. If you wish to use the material in any way other than as specified you must apply in writing to the Publisher at the above address.

Author: Steph KingSeries Editor: Caroline Clissold Publishers: Alexandra Riley and Rachel MenziesDevelopment Editor: Joan MillerEditorial: Lynette Woodward, Debbie Allen and Gareth FernandesCover design: Julie MartinIllustrations by Oxford Designers and Illustrators and Aptara

Typeset by AptaraPrinted by Ashford Colour Press

A catalogue record for this title is available from the British Library.

425477_FM_Math_HTPT_Y5_i-x.indd 2 9/20/17 7:42 AM

Contents

Introduction iv

Pupil progress sheet x

Autumn 1 1Autumn 2 6

Spring 1 12Spring 2 18

Summer 1 24Summer 2 30

Answers and mark schemes 38


iv

Introduction

Test Question Mark NC domain Rising Stars Mathematics unit

Au

tum

n 1

1 a) 1b) 1

a) Nb) N

1a

2 1 F 1c

3 1 F 2b

4 2 F 1d

5 1 A&S 2a

6 1 M 1b

7 1 M 1b

8 2 M&D 3a

9 1 M&D 3a

10 a) 1b) 1

a) Fb) M

2b

11 1 F 1d

12 1 M 1b

13 1 N 1a

14 a) 1b) 1

a) Fb) M

1c, 1d

15 1 M 2a

16 1 F 1c

Why use Rising Stars Mathematics Half-termly Assessments?The Rising Stars Mathematics Half-termly Assessments support teachers using Rising Stars Mathematics to assess whether their pupils have mastered the concepts taught in each half term. They are a tool to help teachers identify gaps in understanding and plan for future teaching, including timely interventions.

How do the tests support teachers to assess mastery?Teachers have access to online marksheets and reports via MARK (My Assessment and Reporting Kit). These enable them to analyse the results for individual pupils and for the whole class.

The results data can be used to help teachers assess mastery. They indicate whether pupils are working at the level of ‘developing mastery’, ‘mastery’ or ‘mastery with depth’. This data can then be used alongside other evidence to enable effective planning of future teaching and learning, for reporting to parents and as evidence for school-wide data collection.

About the Rising Stars Mathematics Half-termly AssessmentsThe tests cover the concepts taught in Rising Stars Mathematics. There is a separate test for each half term, focused on the concepts covered in that half term. For an overview of the units and concepts covered in each half term, refer to the medium-term plans in the online resources.

The content of each test is shown in the tables below:


v

Year 5 Introduction

Test Question Mark NC domain Rising Stars Mathematics unitA

utu

mn

21 1 M&D 3b

2 1 M&D 3b

3 1 G 4a

4 1 N 5a

5 1 G 4a

6 a) 1b) 1

a) Mb) M

3b

7 2 G 4a

8 1 G 4b

9 a) 1b) 1

a) Nb) N

5b

10 1 M&D 3c

11 1 M&D 3c

12 1 N 5b

13 2 M 3c

14 a) 1b) 1

a) Gb) G

4b

15 1 N 5a

16 1 G 4c


Sp

rin

g 1

1 1 N 5c

2 1 F 7a

3 a) 1b) 1

a) A&Sb) A&S

6a

4 1 F 7a

5 a) 1b) 1

a) Mb) A&S

6b

6 1 F 7a

7 1 M 5c

8 1 F 7b

9 1 F 7d

10 a) 1b) 1

a) Mb) M

6b

11 1 F 7b

12 1 F 7b

13 2 F 7d

14 1 F 7d

15 1 F 7c

16 1 F 7c

17 1 F 7d

18 1 F 7c

19 2 M 6a


vi

Year 5 Introduction


Su

mm

er

1

1 1 F 10b, 11b

2 1 F 10c

3 1 A&S 11a

4 2 F 11a

5 1 F 10b

6 1 F 11b

7 2 F, M 11b

8 1 F 12a

9 1 M 11b

10 1 F 10b

11 1 M 11a

12 1 F 10c

13 a) 1b) 1

a) M&Db) M&D

12b

14 1 A&S, F 11a

15 1 F 11b

16 1 F 12a

17 1 F 12a

18 2 A&S 11a

19 1 F 12c

20 1 F 12b

21 1 F 12c

22 2 F 12c

Test Question Mark NC domain Rising Stars Mathematics unitS

pri

ng

21 1 G 9c

2 1 F 8a

3 2 G 9b

4 1 M&D 8c

5 1 M 8a

6 1 M 8c

7 2 F 8b

8 1 M&D 8a

9 a) 1b) 1

a) Pb) P

9a

10 1 M&D 8c

11 2 F 8b

12 1 P 9a

13 1 G 9c

14 1 M&D 8a

15 1 M&D, M 8a

16 1 G 9c

17 a) 1b) 1

a) Gb) G

9c

18 1 M 10a

19 1 N 10a

425477_FM_Math_HTPT_Y5_i-x.indd 6 26/09/17 1:45 PM

vii

Year 5 Introduction

Test Question Mark NC domain Rising Stars Mathematics unitS

um

me

r 2

1 1 M&D 13a

2 1 M 13b

3 2 M 13b

4 1 M&D 13c

5 1 M&D 13a

6 1 M&D 13b

7 2 M 13b, 13c

8 1 M&D 13b

9 1 M&D 13d

10 2 M 13c

11 1 M&D 13d

12 1 M&D 13c

13 1 M 14b

14 2 M&D 13d

15 1 M 14a

16 1 M 14b

17 1 M 13d

18 1 M 14c

19 1 M 14a

20 1 M 14c

21 1 M 14b

22 a) 1b) 1

a) Mb) M

14c

Test demandTest demand increases both within the tests and across the year, in line with pupils’ developing skills and knowledge.

Fluency, reasoning and problem solvingEach test includes a balance of fluency, reasoning and problem-solving questions. This enables teachers to assess pupils’ skills and depth of knowledge in a variety of ways, as well as supporting them to fulfil the aims of the 2014 National Curriculum.

Assessing masteryThe number of marks gradually increases across the year. The marks scored in the tests can help teachers to assess whether pupils have mastered the concepts they have been taught. The marks for each test have been split into three bands: • developing mastery • mastery • mastery with depth.The table on the following page gives the mark ranges for the bands for the year group. If pupils have mastered the concepts they have been taught, they are likely to consistently score in the middle band of marks across the year. The higher the mark in the band, the more secure they are within it.

The bands should only be used as an indicator. Teachers should evaluate the results from the half-termly assessments alongside whole-class activities, the Let’s Review tasks in the Textbook and any other activities taken through the year. A combination of formative assessment, summative assessment, daily observations and professional judgement will enable teachers to form a complete assessment of whether pupils have mastered the concepts they have been taught.


viii

Year 5 Introduction

Test Total marks Developing mastery Mastery Mastery with depth

Autumn 1 21 0 to 9 10 to 18 19 to 21

Autumn 2 21 0 to 9 10 to 18 19 to 21

Spring 1 24 0 to 11 12 to 21 22 to 24

Spring 2 24 0 to 11 12 to 21 22 to 24

Summer 1 27 0 to 12 13 to 24 25 to 27

Summer 2 27 0 to 12 13 to 24 25 to 27

It is important to note that because the tests become progressively harder and longer throughout the year, teachers will not necessarily see an increase in an individual pupil’s marks each time they take a test.

How to use the Rising Stars Mathematics Half-termly AssessmentsPreparation and timings1 Make enough copies of the test(s) for each pupil to have their own copy.2 Hand out the papers and ensure pupils are seated appropriately so that they can’t see each

other’s papers.3 Pupils will need pens or pencils, rulers and erasers. However, encourage pupils to cross out answers

rather than rub them out. Colouring pencils and protractors will be useful in some tests.4 It may be useful for pupils to have access to rough paper for jottings. 5 There are no time limits for the tests but standard practice is to allow one minute per mark for

written tests.

Supporting pupils during the testsBefore the test, explain to the pupils that the test is an opportunity to show what they know, understand and can do. They should try to answer all the questions but should not worry if there are some they can’t do.

Many pupils will be able to work independently in the tests, with minimal support from the teacher or a teaching assistant. However, pupils should be encouraged to ‘have a go’ at a question, or to move on to a fresh question if they appear to be stuck, to ensure that no pupil becomes distressed.

It is important that pupils receive appropriate support, but are not unfairly advantaged or disadvantaged. Throughout the tests therefore, the teacher may read, explain or sign to a pupil any parts of the test that include instructions, for example by demonstrating how to circle an answer.

Help with reading may be given using the same rules as when providing a reader with the KS2 National Tests.

Marking the testsUse the detailed mark scheme and professional judgement to award marks. Do not award half marks. Note that a number of questions in each test may require pupils to do more than one thing for one mark. The mark scheme provides clear guidance in the allocation of marks to support consistent marking of the tests.

It is useful to carry out peer marking of test questions from time to time. Pupils should exchange test sheets and mark them as you read out the questions and answers. You will need to check that pupils are marking accurately. This approach also provides an opportunity to recap on any questions that pupils found difficult to answer.


ix

Year 5 Introduction

Feeding back to pupilsOnce the test has been marked, use a five-minute feedback session with the pupils to help them review their answers. Wherever possible pupils should be encouraged to make their own corrections as in this way they will become more aware of their own strengths and weaknesses. A template ‘Pupil progress sheet’ is provided on page x to help with this.

Using the online marksheets and reporting to analyse resultsAccess marksheets and reporting via MARK (My Assessment and Reporting Kit) to analyse the results for individual pupils, a class or groups of pupils.

To access the marksheets and reporting, log in to MARK (My Assessment and Reporting Kit) via the icon on your My Rising Stars dashboard (www.risingstars-uk.com/user).

If your school is accessing MARK (My Assessment and Reporting Kit) for the first time and the icon is not appearing on your dashboard, unlock your access by placing a free order at www.risingstars-uk.com/rsassessment.

Using the online tool:

• Save and print reports for individual pupils. Share these reports with them and discuss the next steps in their learning.

• Generate group reports. Group reports are ideal for monitoring specific groups of pupils, who may not be in the same class, such as those receiving pupil premium funding.

For support with using MARK (My Assessment and Reporting Kit), visit www.rsassessment.com/mark-online-support/ where there is a step-by-step guide to getting started and a useful video walkthrough, or email [email protected].

Rising Stars Mathematics Half-termly Assessments will complement your existing formative assessment, summative assessment, daily observations and professional judgement to ensure that you have an accurate picture of each pupil’s level of understanding to inform future teaching and learning.

Caroline Clissold and Cherri Moseley, Series Editors


x © Rising Stars UK Ltd 2017. You may photocopy this page.

Name: Class: Date:

Test name: My mark:

Pupil progress sheet

What I did well in the test:

What I need to do to improve:

1.

2.

3.

!

Name: Class: Date:

Test name: My mark:

Pupil progress sheet

What I did well in the test:

What I need to do to improve:

1.

2.

3.


Total for this page

© Rising Stars UK Ltd 2017. You may photocopy this page. 1

Name: Class: Date:

Year 5Half-termly Assessment Autumn 1

1 mark

1.

2. Complete the table.

3. Write the missing digits to make this addition correct.

5 7 • 3

+ 3 • 9 3

9 6 • 2 8 1 mark

a) Write these numbers in order, largest first.

32 895 33 004 9879 29 860 30 928

b) Write the missing numbers.

largest smallest

ten thousand moreone thousand less30928

1 mark

Total for this page

/4

1 mark

fraction 2 710

4 25100

decimal 12.99

425446_Autumn_1_Math_HTPT_Y5_001-005.indd 1 9/20/17 8:44 PM

Year 5 Autumn 1

2 © Rising Stars UK Ltd 2017. You may photocopy this page.

Total for this page

/7

5. I am thinking of two numbers.

One of the numbers is 4995.

The total of the two numbers is 9520.

What is the other number? 1 mark

6. A flight from Britain to America takes 8 hours 12 minutes.

How many minutes is this altogether?

minutes

1 mark

4. Each decimal number is rounded to the nearest whole number.

Draw a line from the decimal number to the correct rounded number.

The first one is done for you.

15.4

15.6 15

15.5

15.1 16

15.8

15.3 2 marks

7. Sumita says, ‘I run 5000 metres every day.’

How many kilometres (km) does she run in a week?

1 mark

8. Write the numbers in the correct places on the Carroll diagram:

6 8 11 12 17 18

multiple of 2 and 3 not a multiple of 2 and 3

factor of 24

not a factor of 242 marks

km


Year 5 Autumn 1


10. a) Round each distance in the calculation 849.5 km – 525.4 km to the nearest whole kilometre.

Subtract these rounded distances to give an approximate answer.

b) Calculate the actual difference between the two distances.

1 mark

km

1 mark

Total for this page

/3

9. Use each number once to make all these number sentences correct.

27 64 81

is a square number.

is a cube number.

is both a square number and a cube number.1 mark

km


Year 5 Autumn 1


Total for this page

/3

12. Naga says, ‘6 kilometres is 100 times further than 6 metres.’

Explain why Naga is incorrect.

1 mark

13. Sue rounds a distance to the nearest 1000 km.

The rounded distance is 53 000 km.

Which of these distances does she round?

Circle the number.

53 695 km 52 498 km 5310 km 528 286 km 52 601 km

1 mark

11. Here are 3 number cards.

3.45 3.54 4.5

Use a different number card each time to make the statements true.

> 3.8

< 3.53

= 1.51 + 2.03

1 mark


Year 5 Autumn 1

Total for this test


/21

14. Four parcels have different masses.

C3.05kg

B 2.35kgA3.25 kg

D2.33 kg

a) Finn has two parcels.

Their total mass is 4680 g.

Which two parcels are Finn’s?

b) Liam has a parcel that is 1.43 kg lighter than Finn’s parcels.

What is the mass of Liam’s parcel?

1 mark and

kg1 mark

15. Here is a bar model.

?

£45.99 £35.75

Write the missing value.£

1 mark

16. Tick (✓) the statements that are true.Tick the statements that are true.

9100

9001000 5

3510

3501000 5

30100

3001000 5

30100

3105

1 mark



Name: Class: Date:

Year 5Half-termly Assessment Autumn 2

1. Calculate 482 × 5

2. Aisha knows that:

460 ÷ 10 = 46

Explain how she could use this fact to calculate:

460 ÷ 20

1 mark

1 mark

Total for this page

/3

3. Tick (✓) the shape that has one or more pairs of parallel sides and no acute angles.

1 mark



4. Write 600 309 in words.

6. a) Calculate the area of this rectangle.

8cm

6cm

b) The lengths of the sides of a larger rectangle are 16 cm and 6 cm.

What is the area of the larger rectangle?

1 mark

1 mark

1 markcm²

cm²

Total for this page

/4

Year 5 Autumn 2

5. Explain why this shape is not regular.

1 mark


Year 5 Autumn 2


Total for this page

2 marks

1 mark

7. Write the shape letters in the correct places in the table.

A

ED

CB

quadrilateral not a quadrilateral

regular

not regular

8. Measure the acute angle and the obtuse angle.

Write the size of each angle.

° °

Acute Obtuse

/3


Year 5 Autumn 2


Total for this page

/4

1 mark

1 mark

9. a) The arrow is pointing at –2.

Add 5.

Draw a new arrow to show the answer.

2627 25 24 23 22 0 1 2 3 4 5 6 721

b) Calculate:

– 8 + 15

10. Calculate 576 ÷ 6

11. Pencils come in packs of 8.

A school has 587 children.

How many packs will a school need to buy so that each child can have a pencil?

1 mark

1 mark


Year 5 Autumn 2


Total for this page

2 marks

12. How many degrees does the temperature drop between noon and midnight?

10

noon midnight

68C 238C

0

10

20 20

0

13. Pete fills eight mugs with water.

345 ml695 ml

Anita fills four bottles with water.

Pete says, ‘I use more water than Anita because I have more mugs to fill.’

i) Do you agree? yes / no

ii) Prove your answer.

1 mark

°

/3


Year 5 Autumn 2


Total for this test

1 mark

1 mark

1 mark

1 mark

14. Calculate the missing angles in these triangles.

y

1288

298

x

688

a)

b)

15. Write the symbol <, > or = to make each statement true.

800 975 95 329

125 000 + 75 000 175 000 + 25 000

435 789 435 791

16. Draw a triangle with a base of 6 cm and one angle of 125º. Each square on the grid represents one cm.

/21

°

°



Name: Class: Date:

Year 5Half-termly Assessment Spring 1

1 mark

1 mark

1 mark

1 mark

1. The table shows years written in Roman numerals and in numbers.

Complete the table.

Roman numerals MMVII MCMXX

numbers 1950

2. 2 5 8 9

Use all of the digits to make this fraction statement correct.

<

3. a) Round each number in the calculation 6813 + 2367 to the nearest hundred.

Add these rounded numbers to give an approximate answer.

b) Calculate the actual total of 6813 + 2367.

Total for this page

/4

425477_Spring_1_Math_HTPT_Y5_012-017.indd 12 26/09/17 1:33 PM


4. Write these fractions in order, largest first.

34

78

12

1116

smallestlargest

5. The bar model represents the money taken at a sporting event.

£7800

total money taken

£5500

tickets

?

refreshments and other sales

a) How much money is taken for refreshments and other sales?

b) Write a checking calculation using addition.

6.

Which two containers each hold less than 34 litre of water?

and

1 mark

1 mark

1 mark

1 mark

Total for this page

/4

£

Year 5 Spring 1

A

6007008009001000 mL

500400300200100

B

6007008009001000 mL

500400300200100

6007008009001000 mL

500400300200100

C D

6007008009001000 mL

500400300200100

78 litre

510 litre

45 litre

23 litre

425477_Spring_1_Math_HTPT_Y5_012-017.indd 13 9/20/17 8:22 AM

Year 5 Spring 1


Total for this page

1 mark

1 mark

7. Kiara's clock uses Roman numerals.

The hour hand points to IV.

The minute hand points to XII.

Draw the time on this clock.

8.

What fraction of the two shapes are shaded altogether?

Give your answer as a mixed number and an improper fraction.

Mixed number

Improper fraction

/2


Year 5 Spring 1


Total for this page

1 mark

1 mark

1 mark

9. What percentage of the bar is shaded?

10. a) This is part of a bus timetable.

%

minutes

45 48 52

Meadow Lane 07:05 08:12 09:18

Wood Grove 07:20 08:23 09:24

Valley Hill 07:35 08:36 09:38

Croft View 07:55 08:51 09:50

Church Street 08:10 09:06 10:06

How long does bus number 48 take to go from Wood Grove to Church Street?

b) Anna says that the journey from Wood Grove to Church Street on bus number 52 is one minute shorter.

Explain why Anna is correct.

/4

1 mark

11. Complete this table with the missing fractions.

One has been done for you.

improper fraction mixed number54 1

14

158

125


Year 5 Spring 1


Total for this page

1 mark

2 marks

1 mark

12. The length of a piece of red ribbon is 94 metre.

The length of a piece of blue ribbon is 212 metres.

Which colour ribbon is longer?

13. Complete this table with the missing numbers.

14. Write the missing numbers to show the equivalent fractions and percentages.

fraction decimal percentage

12

0.5 50%

25%

310

0.75

0 1

50% 85%%

20100

/6

1 mark

1 mark

15. Circle the fraction that is the same as 0.05.

510

15

5100

50

1005

16. A parcel weighs 2.75 kg.

Tick (✓) all the mixed numbers that show the same mass.

212

kg 2 7501000

kg 257

kg 234

kg 214

kg


Year 5 Spring 1


1 mark

1 mark

17. Mia saves 50% of £80.

Johan saves 30% of £120.

Who saves the most money?

18. Write these mixed numbers as decimals.

3 710

7 23100

15 5501000

2 marks

19. Here are some distances:

journey distance (kilometres)

London to Rome 1431 km

London to Berlin 929 km

Berlin to Rome 1181 km

A plane flies from London to Rome and then on to Berlin.

How much further is this than flying direct to Berlin from London?

km

Total for this test

/24



Name: Class: Date:

Year 5Half-termly Assessment Spring 2

/4

1 mark

1 mark

2 marks

1. Tick (✓) the shape that has one obtuse angle.

2. Write down the common factors of 24 and 30.

3. Write the letter for each shape in its correct place on the diagram.

prism

A B

triangularface/s

C

D E F

Total for this page


Year 5 Spring 2


4. These diagrams show scaling up and scaling down.

Write the missing value for each diagram.

66

of the size16

5 times as big

12

A

B

5. A square has sides of 9 cm.

What is its area?

6. A recipe for making lemonade for four people uses:

• 1000 ml of mineral water• 100 g of sugar• 80 ml of lemon juice

Rewrite the recipe for twelve people.

ml of mineral water

g of sugar

ml of lemon juice

1 mark

1 mark

1 mark

cm²

Total for this page

/3


Year 5 Spring 2


Total for this page

2 marks

1 mark

1 mark

1 mark

7. Mohammed has an 800 m journey to school.

He walks with his friend for 40% of the journey.

He walks on his own for 310

of the journey.

He runs for the rest of the journey.

Complete each sentence about Mohammed’s journey to school.

Mohammed walks metres with his friend.

He walks metres on his own.

He runs metres.

8. Write the prime factors of 30.

9. a) Reflect the shape in the mirror line.

b) Write the coordinates of the reflected shape.

/5

mirror line

00

1 2 3 4 5 6 7 8

1234

6789

10

y

x

5


Year 5 Spring 2


Total for this page

10. The exchange rate between pounds and euros is:

£1 = €1.25

How many euros would you get if you exchanged £40?

11. Write the symbol <, > or = to make each statement true.

50% of 500g 0.25 of 1000 g

25 of 300 cm 15% of 600 cm

310

of 3000 ml 0.4 of 2400 ml

12. Triangle A has been translated to Triangle B.

Describe the translation.

00 1 2 3 4 5 6 7 8

1234567

A

B

8

1 mark

2 marks

1 mark

€

/4


Year 5 Spring 2


Total for this page

1 mark

1 mark

1 mark

1 mark

13. Measure the obtuse angle.

What is the size of the reflex angle?

14. Write one pair of prime numbers that add together to make 20.

and

15.

Here is a cube.

Write the cube number it represents.

16. Use a protractor to draw an angle of 45º on this line.

º

/4


Year 5 Spring 2


Total for this test

/24

1 mark

1 mark

17. a) Calculate the size of the angle marked x.

1258

x

b) Calculate the angle marked y.

688y

x = °

y = °

1 mark

18. I leave the door of the freezer open. The temperature rises by 5 degrees.

What is the new temperature in the freezer?

original temperature

fridge 4 °C

freezer –19 °C °C

19. Arrange these place value cards to make a 7-digit number.

4 100000 60000008000 700

Write the number in figures and then in words.

1 mark



Name: Class: Date:

Year 5Half-termly Assessment Summer 1

1 mark

1 mark

1 mark

2 marks

1. Calculate:

34 +

12 +

18

Write your answer as a mixed number.

2. Circle the decimals that are 14.3 when rounded to one decimal place.

14.35 14.24 14.03 14.28 14.34

3. Calculate 82 463 – 59 571.

4. The table shows the amounts of orange and lemon drinks sold at lunch and dinner time.

Complete the table with the missing numbers.

orange drink in litres lemon drink in litres

lunch time 3.45 4.82

dinner time 4.38

total 7.62

Total for this page

/5

425477_Summer_1_Math_HTPT_Y5_024-029.indd 24 9/20/17 8:24 AM

Year 5 Summer 1


Total for this page

/5

1 mark

1 mark

2 marks

1 mark

5. Put these fractions in order, smallest first.

23

56

712

1924

6. The table shows Rita's activities on Saturday.

activity duration

swimming 34 hour

at the park 112 hours

shopping with friends 114 hours

How long does Rita spend on her Saturday activities altogether?

Give your answer as a mixed number.

hours

7. Tom bakes a cake. Its mass is 3.25 kg.

Lisa bakes a cake. Its mass is 750 g.

How much heavier is Tom’s cake than Lisa’s cake?

8.

A bottle holds 14 litre of water.

How many litres do 24 bottles hold?litres

14 litre

smallest largest


Year 5 Summer 1


Total for this page

1 mark

9. This graph shows the depth of a river over some days of a thunderstorm.

By how many centimetres does the depth of the river go down between Wednesday and Friday?

0

Monda

y

cm

Tuesd

ay

Wedne

sday

Thurs

day

Frida

y

50100150200

300250

10. Use each digit once to make these statements true.

5 7 8

5

5

34

14

112

12

12

112

5

cm

1 mark

1 mark

11. I am thinking of two distances.

The shorter distance is 71 934 metres.

The difference between the shorter and longer distance is 43 341 metres.

What is the longer distance?

m /3


Year 5 Summer 1


Total for this page

12. Put these bags in order of size, lightest first.

A B C D E

0.211 kg 0.122 kg 0.212 kg 0.102 kg 0.201 kg

13. a) Complete this table with the missing numbers.

× 10 × 100 × 1000

5.6 56 560

0.603 603

b) Complete this table with the missing numbers.

÷ 10 ÷ 100 ÷ 1000

2007 20.07

54 321 5 432.1 5 4.321

14. Complete these calculations.

15 670 – 5670 =

13.42 + = 14.47

1 mark

1 mark

1 mark

1 mark

/5

1 mark

15. Calculate:

712

– 14

lightest heaviest

425477_Summer_1_Math_HTPT_Y5_024-029.indd 27 26/09/17 1:36 PM

Year 5 Summer 1


Total for this page

/5

2 marks

1 mark

1 mark

18. Manisha adds three numbers together and gets the total 629 732.

Two of the numbers are 67 532 and 483 817.

What is the third number?

16. Tick (✓) the statements that are true.

712

= 46

58 <

1116

921

> 47

618

= 13

17. Draw lines to match each calculation with the correct product.

13 × 30 6

15

× 30 9

18 × 72 10

1 mark

19. Tony uses 32% of a 500 g bag of flour.

Isla uses 75% of a 240 g bag of flour.

How many grams of flour do they each use?

Tony g Isla g

Show your method


Year 5 Summer 1

Total for this test


/27

1 mark

1 mark

2 marks

20. A car travels 3558 kilometres from the town to the seaside.

A motorbike travels 35 725 metres from the town to the countryside.

Cho says that the motorbike travels further.

Explain why Cho is correct.

21. Circle the pair of numbers that are equivalent to 60%.

35 and 0.35

610

and 0.06

16 and 0.6

35 and 0.6

22. Jayda has £160.

• She spends 25% of the money on books and games.• She saves 45% of the money for a holiday.

How much money does she have left?

£

Show your method



Name: Class: Date:

Year 5Half-termly Assessment Summer 2

1 mark

1 mark

2 marks

1. Write the missing numbers to make these sentences true.

× = 96 96 ÷ =

2. Amelie cuts a ribbon 35 cm long.

Kali cuts a ribbon 4 times as long.

How long is the ribbon that Kali cuts?

3.

Parcel B is 3 times heavier than Parcel A.

Parcel C is an eighth of the mass of Parcel A.

Write the masses of Parcels B and C.

g g

Parcel B Parcel C

Total for this page

/4

cm

A16 kg

C

B


Year 5 Summer 2


1 mark

1 mark

1 mark


5. Draw a prime factor tree for the multiple 56.


Total for this page

/3


Year 5 Summer 2


Total for this page

9. How many groups of 7 can you make from 847?

1 mark

2 marks

1 mark

7. A shop sells these electrical items.

£279 £345 £450

The table shows the number of each item sold on Saturday.

Complete the table with the missing values.

television computer washing machine

number sold 5 17

total £ £ £1800

8. Calculate 860 ÷ 20

groups

/4

425477_Summer_2_Math_HTPT_Y5_030-037.indd 32 26/09/17 1:36 PM

Year 5 Summer 2


Total for this page

10. Oakfield School has 7 classes.

The school wants to spend £1325 on each class for books and equipment.

£3500 of the money is raised from a summer fair.

How much more money does the school need altogether?

11. Cupcakes are baked in trays of 9.

668 guests are invited to a charity tea party.

How many trays of cupcakes must be baked so that all guests can have one each?

2 marks

1 mark

£

/4

1 mark


Show your method


Year 5 Summer 2


Total for this page

/4

1 mark

2 marks

1 mark

13. The diagram shows the area of grass in a garden.

Calculate the area of grass.

5m

10m

8m

4m

14. Use a number card to complete each sentence.

346 4 5 34 r

2 3 10 6 8

278 4

196 4 125 24

5 923

15. Work out the perimeter of this rectangle.

12cm

8cm

m2

cm


Year 5 Summer 2


Total for this page

/3

1 mark

1 mark

16. This shape is drawn on centimetre-squared paper.

What is the area of the shaded shape?

17. 684 kg of sand is divided among five containers.

How much sand is in each container?

Show the remainder as a fraction.

cm2

kg

1 mark

18. This cuboid is made from centimetre cubes.

What is the volume of the cuboid?

cm3


Year 5 Summer 2


19. What is the perimeter of this shape?

11cm

15cm

12cm

18cm

20. The volume of a cuboid is 36 cm³.

It is made from centimetre cubes.

Tick (✓) the shape that is the cuboid.

1 mark

1 mark

cm

Total for this page

/2


Year 5 Summer 2


Total for this test

/27

1 mark

1 mark

1 mark

21. The length of a rectangle is 9 cm.

The width is 4 cm.

What is the area of the rectangle?

Include the correct units.

22. A kettle can fill five mugs.

Each mug holds 400 millilitres.

a) What is the capacity of the kettle?

litres

b) What volume of water is needed to fill three mugs?

litres



Answers and mark schemesYear 5 Autumn

Test 1 Mark NC domainRising Stars

Mathematics unit

Additional information

1. a) 33 004, 32 895, 30 928, 29 860, 9879

b) 29 928, 40 928

a) 1

b) 1

a) N

b) N

1a a) Award 1 mark for all correct.

b) Award 1 mark for both correct.

2.fraction 2

710 12

99100 4

25100

decimal 2.7 12.99 4.25

1 F 1c Award 1 mark for all correct.

3. 5

8

1 F 2b Award 1 mark for both correct.

4.

16

15.415.615.515.115.815.3

15

2 F 1d Award 2 marks for all correct.

Award 1 mark for three correct.

5. 4525 1 A&S 2a6. 492 1 M 1b7. 35 1 M 1b8. For example:

multiple of 2 and 3

not a multiple of 2 and 3

factor of 24 6 12 8not a factor of 24

18 11 17

2 M&D 3a Award 2 marks for all four correct.


9. 81

27

64

1 M&D 3a Award 1 mark for all correct.

10. a) 850 − 525 = 325

b) 324.1

a) 1

b) 1

a) F

b) M

2b a) Do not need sight of rounded amounts for 1 mark.

11. 4.5

3.45

3.54

1 F 1d Award 1 mark for all correct.

12. An explanation such as:

• 6 km is equal to 6000 m. This is 1000 times further than 6 m.

• There are 1000 m in a km so 6 km is 1000 times further.

• 600 m is 100 times further than 6 m but 6 km is 1000 times further (or another 10 times further).

• 6 km is 1000 times further than 6 m.

1 M 1b Do not accept explanations that simply state:

• No it is further.• 600 m is 100 times

further than 6 m.

425477_Answer_Math_HTPT_Y5_038-054.indd 38 26/09/17 1:47 PM


Year 5 Answers and mark schemes

Key to National Curriculum domain codes:A&S – Addition and subtraction; F – Fractions, decimals and percentages; G – Geometry; properties of shapes; M – Measurement; M&D – Multiplication and division; N – Number and place value; P – Geometry: position and direction; S – Statistics


Mathematics unit


13. Circles 52 601 km 1 N 1a Accept any other clear way of indicating the correct distance.

14. a) B and D

b) 3.25

a) 1

b) 1

a) F

b) M

1c, 1d

15. 81.74 1 M 2a Do not accept 8174 or decimal point incorrectly placed, e.g. 8.174.

16. Ticks top-left and bottom-right fractions 1 F 1c Accept any other clear way of indicating the correct statements.

Award 1 mark for both correct.

Total marks: 21




Year 5 Autumn

Test 2 Mark NC domain

Rising Stars Mathematics

unitAdditional information

1. 2410 1 M&D 3b Accept any method.2. An explanation that shows that she can

halve the product of 460 ÷ 10 as this is the same as dividing by 20

1 M&D 3b Do not accept an explanation that suggests that she can divide by 10 again.

3. Ticks bottom-right shape 1 G 4a4. six hundred thousand, three hundred and nine 1 N 5a Accept minor spelling errors.5. An explanation that the angles and/or

sides are not equal (are different)1 G 4a Accept any other clear way of

indicating the correct shape.6. a) 48

b) 96

a) 1

b) 1

a) M

b) M

3b Award 1 mark for correct answer and explanation.

7. quadrilateral not a quadrilateral

regular E A, Dnot regular

C B

2 G 4a Award 2 marks for all correct.


8. Acute 60

Obtuse 120

1 G 4b Accept +/– 2 °.

Award 1 mark for both correct.9. a) Draws arrow pointing to 3

b) 7

a) 1

b) 1

a) N

b) N

5b

10. 96 1 M&D 3c11. 74 1 M&D 3c

Do not accept 73r3, 73 38

12. 9 1 N 5b13. No

345 × 8 = 2760 and 695 × 4 = 2780

2 M 3c Accept any method of calculation.

Do not need sight of units (ml).

Award 2 marks for sight of both total amounts of water for each child.

Award 1 mark for one correct calculation.

Award 1 mark if ‘Yes’ is recorded but workings are correct.

14. a) 23b) 22

a) 1

b) 1

a) G

b) G

4b

15. >

=

<

1 N 5a Award 1 mark for all correct.

16. Draws a triangle with a base of 6 cm and any one angle of 125 °

1 G 4c Accept +/– 2 °.

Accept +/– 2 mm.

Total marks: 21




Year 5 Spring


Mathematics unit


1. Roman numerals

MMVII MCML MCMXX

numbers 2007 1950 1920

1 N 5c Award 1 mark for all correct.

2. 28 <

59 or

58 <

89

1 F 7a

3. a) 9200 (6800 + 2400)

b) 9180

a) 1

b) 1

a) A&S

b) A&S

6a 1 mark for each correct part.

4. 78 ,

34 ,

1116,

12

1 F 7a Award 1 mark for all correct.

5. a) 2300

b) 5500 + 2300 = 7800 or 2300 + 5500 = 7800

a) 1

b) 1

a) M

b) A&S

6b

b) Units (£) not required for 1 mark.

6. B and D

or 510 and

23

1 F 7a Award 1 mark for both correct.

7. Draws hands showing four o’clock 1 M 5c Accept a time that clearly shows 4 o’clock.

8.1

56

116

1 F 7b Award 1 mark for both correct.

9. 70 1 F 7d10. a) 43

b) Any acceptable proof that the time for bus number 52 to travel from Wood Grove to Church Street is 42 minutes (or 1 minute shorter), e.g. pupils may calculate the time interval or notice that the arrival time is one hour later but the departure time is one hour and one minute later.

a) 1

b) 1

a) M

b) M

6b

b) Accept proof where pupils add or subtract 42 minutes to check if the arrival or departure times are correct.

11. improper fraction mixed number54 1

14

138 1

58

125 2

25

1 F 7b Award 1 mark for all correct.

12. blue 1 F 7b





Mathematics unit


13. fraction decimal percentage12

0.5 50%

14

0.25 25%

310

0.3 30%

34

0.75 75%

2 F 7d Award 2 marks for all correct.

Award 1 mark for two correct.

14. 20%50100 (accept

510 or

12 )

85100 (accept

1720)

1 F 7d Award 1 mark for all correct.

15.Circles

5100

1 F 7c Accept any other other clear way of indicating the correct fraction.

16. Ticks 2 7501000 kg and 2

34 kg

1 F 7c Accept any other clear way of indicating the two correct values.

17. Mia 1 F 7d18. 3.7

7.23

15.55 (accept 15.550)

1 F 7c Award 1 mark for all correct.

19. 1683 2 M 6a Award 2 marks for correct answer.

Award 1 mark for a correct method, e.g.

1431 + 1181 = 2612

2612 – 929 = error.

Total marks: 24





Mathematics unit


1. Ticks bottom-right shape 1 G 9c

2. 1, 2, 3, 6 1 F 8a Award 1 mark for all correct.

3.

prism

C

triangularface/s

A

D

B

E

F

2 G 9b Award 2 marks for all correct.


4. 60, 11 1 M&D 8c Award 1 mark for both correct.

5. 81 1 M 8a6. 3000

300

240

1 M 8c Award 1 mark for all correct.

7. 320

240

240

2 F 8b Award 2 marks for all correct.


8. 2, 3, 5 1 M&D 8a Accept any order.

Award 1 mark for all correct.

9. a)

mirrorline

0 1 2 3 4 5 6 7 8

10

234

6789

10

y

x

5

b) (2, 6) ( 3, 9) (5, 9) (6, 7 )

a) 1

b) 1

a) P

b) P

9a

b) Accept any order.

Award 1 mark for all correct.

10. 50 1 M&D 8c

Year 5 Spring





Mathematics unit


11. =

>

<

2 F 8b Award 2 marks for all correct.


12. 4 right, 3 down 1 P 9a Accept 3 down, 4 right.

13. 120 1 G 9c Accept ±2°.14. 7 and 13 or 17 and 3 1 M&D 8a15. 27 1 M&D, M 8a16. 1 G 9c Accept the reverse.

17. a) 235

b) 112

a) 1

b) 1

a) G

b) G

9c Accept angle sizes written on both diagrams in correct place and not in boxes.

18. –14 1 M 10a19. 6 108 704

six million, one hundred and eight thousand, seven hundred and four

1 N 10a Commas not required between words.


Total marks: 24







1.1

38

1 F 10b, 11b

2. Circles 14.28 and 14.34 1 F 10c Accept any other clear way of indicating the correct decimals.

Award 1 mark for both correct.3. 22 892 1 A&S 11a4. orange drink

in litreslemon drink

in litreslunch time

3.45 4.82

dinner time

4.38 2.8

total 7.83 7.62

2 F 11a Accept 2.80 for lemon drink.

Award 1 mark for each correct.

5. 712,

23 ,

1924,

56


6.3

12

1 F 11b Do not accept 3.5 as mixed number is required.

7. 2.5 kg or 2500 g 2 F, M 11b8. 6 1 F 12a9. 75 1 M 11b Accept +/– 5.

10. 7

8

5


11. 115 275 1 M 11a

12. D, B, E, A, C 1 F 10c Accept decimals used instead of letters.

Award 1 mark for all correct.13. a)

÷ 10 ÷ 100 ÷ 10005.6 56 560 56000.603 6.03 60.3 603

b)

÷ 10 ÷ 100 ÷ 1000

2007 200.7 20.07 2.00754 321 5432.1 543.21 54.321

a) 1

b) 1

a) M&D

b) M&D

12b a) Award 1 mark for all correct.

b) Award 1 mark for all correct.

14. 10 000

1.05

1 A&S, F 11a Award 1 mark for both correct.

15. 412 or

13

1 F 11b

Year 5 Summer







16. Ticks top-right and bottom-right statements

1 F 12a Award 1 mark for both correct.

17. 131518

6

9

10

×30

×30

×72

1 F 12a Award 1 mark for all correct.

18. 78 383 2 A&S 11a Award 2 marks for correct answer.

Award 1 mark for a correct method, e.g.

67 532 + 483 817 = 551 349

629 732 – 551 349 = error

or

629 732 – 483 817 – 67 532 = error.

19. 160 (Tony)

180 (Isla)

1 F 12c Award 1 mark for both correct.

20. An explanation that shows 35 725 m is

the same as 35.725 km and 35 58 km is

35.625 km or that 35.725 km is 35 78 km

1 F 12b Do not accept 35.725 or 35 725 is more unless sight of conversion

of 35 58 to 35.625.

21.Circles

35 and 0.6

1 F 12c Accept any other clear way of indicating the correct pair.

22. 48 2 F 12c Award 2 marks for correct answer.

Award 1 mark for an appropriate method, e.g.

Finding 25% and 45% and subtracting total from £160 with one arithmetic error.

Adding 25% and 45% to make 70%, finding 70% of £160 and then subtracting to find difference with one error.

Adding 25% and 45%, recognising that 30% must be left and find 30% of £160 with an error.

Total marks: 27




Year 5 Summer




1. Accept any 2 factors of 96 for each part 1 M&D 13a Two pairs of factors can be the same, e.g. 8 and 12 used for both sentences or can be different, with 8 and 12 used for the first sentence and 4 and 24 used for the second.


2. 140 1 M 13b3. 48 (B) 2 (C) 2 M 13b Award 1 mark for each

correct.4. 124 358 1 M&D 13c5. e.g.

56

8

42

22

7

1 M&D 13a Accept starting factors as 2 and 28, etc.

6. 1170 1 M&D 13b7. television computer washing

machinenumber sold

5 17 4

total £ 1395 £ 5865 £1800

2 M 13b, 13c Award 2 marks for all correct.

Award 1 mark for 2 correct.

8. 43 1 M&D 13b9. 121 1 M&D 13d10. 5775 2 M 13c Award 2 marks for correct

answer.

Award 1 mark for evidence of an appropriate method, e.g.

1375 × 7 = error

error – 3500 = error.11. 75 1 M&D 13d Do not accept 74 r 2.12. 22 056 1 M&D 13c13. 62 1 M 14b14. 10, 6

3, 2

8

2 M&D 13d Award 2 marks for all correct.


15. 40 1 M 14a







16. 11 1 M 14b

17. 136 45

1 M 13d Do not accept r 4.

18. 24 1 M 14c19. 112 1 M 14a20. Ticks 2nd shape 1 M 14c Accept any other clear way

of indicating the correct shape.

21. 36 cm² 1 M 14b Units required for the mark.22. a) 2

b) 1.2

a) 1

b) 1

a) M

b) M

14c

Total marks: 27


Documents

Half-termly Assessments · 2018-08-10 · There is a separate test for each half term, focused on the concepts covered in that half term. For an overview of the units and concepts