This is the mark scheme and teacher guidance for the PUMA Extension Autumn test

This free teacher guidance provides what you need in order to administer and mark the Autumn test. It contains the:

■ mark scheme and marking guidance for the test

■ facility values for test questions

■ raw score to standardised score conversion table.

The Spring test, and accompanying mark scheme and guidance will be available in Autumn 2017.

More extensive teacher guidance will be provided in the full PUMA 6 Extension Manual, which will be published in Spring 2018, together with the PUMA test for Summer. The PUMA 6 Extension Manual will also include the following information, to assist you when using PUMA across the whole key stage:

■ strand level performance information

■ age-standardised scores, mathematics ages and Hodder Scale scores for predicting progress

■ further information about interpreting and analysing results

■ technical information about the standardisation

■ answers and mark schemes for the PUMA Summer test.

In Autumn 2017, the mark sheet and question level analysis for the Autumn test will be available as part of the online analysis and reports service.

In Spring 2018, the mark sheets and question level analysis for the Spring test will be available as part of the online analysis and reports service.

To order your PUMA 6 Extension Spring and Summer test papers and manual, visit www.risingstars-uk.com/pumaext

Progress in Understanding Mathematics Assessment

pumaColin McCartyCaroline Cooke

Manual Stage 1

ReceptionYear 1Year 2

STAGE 2Year 6 ExtensionAutumn test: Test guidance and mark scheme

Progress inUnderstanding MathematicsAssessment

Contents2

puma1 Introduction 3

Ways to use PUMA 6 Extension tests 3

2 Administering the tests 4When to test 4Timing 4Preparation 4Administering the test 4

3 Answers and mark scheme 5Marking the answers 5Autumn answers and mark scheme 6

4 Standardised score tables 9Standardised scores for PUMA 6 Extension tests 9

Contents

1 Introduction 3

pumaWays to use PUMA 6 Extension Tests

Progress in Understanding Mathematics Assessment (PUMA) provides a standardised assessment of a pupil’s mathematics attainment, and a profi le of mathematics skills, which helps you to identify those pupils who may need further support and those who may be exceeding expectations. The new PUMA 6 Extension papers (Autumn, Spring and Summer) have been created to monitor and support those pupils who are exceeding expectations. Schools may fi nd different ways to utilise these tests, such as:

1 If a pupil is following an accelerated pathway and has used Year 6 PUMA tests in Year 5, they may take the PUMA 6 Extension papers throughout Year 6.

2 At the end of Year 5, a pupil with a raw score of over 45 marks (Hodder Scale score 5.4) may take the Autumn PUMA 6 Extension paper to see how far ahead they might be, and to explore if they are likely to be over a scaled score of 110 in the Key Stage 2 national test.

3 If a Year 6 pupil has a raw score of over 42 marks (Hodder Scale score 5.6) on an Autumn or Spring Year 6 test, they may take a PUMA 6 Extension paper to see the extent to which they are working at depth.

1 Introduction

2 Administering the tests4

puma 2 Administering the tests

When to testThe PUMA tests should ideally be used just before the end of term, as they have been designed to assess the National Curriculum objectives presented in the PUMA curriculum map for that term.

TimingA maximum time of 45 minutes is advised for each of the PUMA 6 Extension tests.

PreparationEach pupil will need the appropriate test booklet plus a pen, a pencil, an eraser and a ruler. No calculators or other equipment should be used.

Administering the testGive each pupil a test booklet. Ask them to write their names on the front cover. The other information can be supplied by the teacher or teaching assistant.

3 Answers and mark scheme 5

pumaOnce the pupils have completed the test, their answers may be marked using the answers and mark scheme found in this chapter.

Marking the answers ■ Mark boxes in the right-hand margins of each test booklet indicate where a

mark can be gained.

■ Some questions have more than one part, or attract more than 1 mark, so you should follow the mark scheme carefully, using your professional judgement if necessary. For example, accept minor reversals of single digits but not reversals of 2-digit numbers. Equally, any clear indication of the answer is acceptable irrespective of what was asked for, e.g. a tick or a circle.

■ For scores to be valid, you should not award half marks.

Marksheets for scoring the test and providing question level and gap analysis will be available in the Autumn term when the tests are designed to be taken.

3 Answers and mark scheme

6

puma

Autumn answers and mark scheme

Autumn answers and mark scheme

Question Answer and marking guidance Curriculum reference Facility %

1 Award one mark for:

(£) 4.40

frac, 6F9c 86

2 Award one mark for:

£5,135,000 and £5,090,000

Both answers are required.

num, 6N2 87

3 Award one mark for:

0.0051

frac, 6F9a 77

4 Award one mark for:

1.2 (kg)

Accept 1,200 g only if units are changed.

frac, 6F9b 79

5 Award one mark for:

682,287

ops, 6C4, 6C6, 6C8

85

6 Award one mark for:

1235

Accept 60175

or equivalent.

frac, 6F5a 68

7 Award one mark for:

246 trays fi lled and 21 bottles left

ops, 6C7 61

8 Award one mark for:2584

or equivalent

frac, 6F4 63

9 Award one mark for:

18

(kg) or 0.125 (kg)

Accept 125 g only if units are changed.

frac, 6F5b 55

Autumn answers and mark scheme 7

Question Answer and marking guidance Curriculum reference Facility %

10 Award one mark for table ticked as shown:

Name Mathematics test mark

Get a prize

Amy 4550

Ben 3340

Cara 2530

Dean 4760

frac, 6F11 51

11 Award one mark for:

110

frac, 6F2, 6F4 45

12 Award one mark for:

437

ops, 6C9 46

13 Award one mark for:

90,445.695

frac, 6F10 68

14 Award one mark for:

4,000

ops, 6C3 29

15 Award one mark for:

506,879

ops, 6C4, 6C6, 6C8

45

16 Award one mark for:

1.7

stat, 6S3 30

17 Award one mark for:

586,183

ops, 5C7a, 6C7a

50

18 Award one mark for:

95

ops, 6C5 54

19 Award one mark for:

108 (children)

frac, 6R2 30

20 Award one mark for:3440

frac, 6F5a, 6F5b, 6F6

31

Autumn answers and mark scheme 8

Question Answer and marking guidance Curriculum reference Facility %

21 Award two marks for C and T correctly placed and oriented, as shown:

A

C T

If the answer is incorrect, award one mark for:

• C or T correctly placed and oriented

or

• both letters placed on the correct faces, but not oriented correctly.

geom, 6G3b 40

17

22 Award one mark for an answer within the range 270 to 271 miles inclusive.

Award one mark for an answer within the range £70 to £74 inclusive, e.g. £72

stat, 6S1

stat, 6S1

35

18

23 Award one mark for:

39 (m2)

meas, 6M7b, 6M7c

13

4 Standardised score tables 9

pumaStandardised scores for PUMA 6 Extension tests

PUMA 6 Extension Autumn:Standardised scores

Raw score Standardised score

1 <62

2 62

3 66

4 69

5 72

6 76

7 79

8 83

9 86

10 89

11 93

12 96

13 100

14 103

15 106

16 110

17 113

18 117

19 120

20 123

21 127

22 130

23 134

24 137

25 >137

4 Standardised score tables