Progress in Understanding Mathematics Assessment (PUMA) · PDF file4 1 Introduction This...

Progress in Understanding Mathematics Assessment

(PUMA)

Interim Manual for Autumn tests – Years 3 to 6

Colin McCarty & Caroline Cooke

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Copyright 2014 Hodder and Stoughton Ltd. Photocopying is prohibited. All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, without permission in writing from the publisher. This publication is excluded from the reprographic licensing scheme administered by the Copyright Licensing Agency Ltd and may not be photocopied. Printed in England for Hodder Education, part of Hachette UK, 338 Euston Road, London NW1 3BH.

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Contents

1 Introduction 04

This interim manual 04 What is PUMA? 04 PUMA Curriculum Maps 04 Why use PUMA? 05 What does PUMA provide? 05

2 Administering the PUMA Tests 06

When to test 06 How to test 06 Group size 06 Timings 06 Preparation 06 Test conditions 06 Administration 06

3 Answers and mark schemes 07

Marking and recording results 07

PUMA 3 – Autumn 08 PUMA 4 – Autumn 10 PUMA 5 – Autumn 12 PUMA 6 – Autumn 15

4 Obtaining and interpreting test scores 18

Summative measures 18 Reporting progress – the PUMA Scale 20 Predicting future performance 22

5 Standardised score conversion tables 24

PUMA 3 – Autumn 24 PUMA 4 – Autumn 25 PUMA 5 – Autumn 26 PUMA 6 – Autumn 28

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1 Introduction

This interim manual for PUMA Autumn We have brought forward publication of the PUMA Autumn tests, so that you can start assessing Mathematics in the Autumn term, as you start using the new National Curriculum. To support you in using the PUMA Autumn tests, we have published this free teacher guidance which provides everything you need to administer and mark the Autumn tests. More extensive teacher guidance, including information relating to the PUMA Spring and Summer tests will be provided in the full PUMA Manuals – Stages 1 and 2, which will be published in March 2015, together with the PUMA tests for Spring and Summer. The PUMA Manuals will also include the following information, to assist you when using PUMA across the whole school year:

Diagnostic and formative information

Pupil profile sheets for each term, to enable you to review patterns of strengths

and weaknesses across the year.

Further information about interpreting and analysing results

Technical information about the standardisation

Teacher scripts and mark schemes for the PUMA Spring and Summer tests.

In the meantime, should you have any queries about using the PUMA Autumn tests, please email [email protected].

What is PUMA? Progress in Understanding Mathematics Assessment (PUMA) is a suite of tests written to the new National Curriculum. PUMA is designed to be used toward the end of each term, to measure and monitor pupils’ progress term by term, providing reliable, predictive and diagnostic information.

The autumn test is a wider span test than the more focused Spring and Summer tests, with questions relating to mathematics covered in earlier years; it should be used to baseline the children (who will have only had at best one term of teaching on this year’s curriculum). PUMA is designed for whole-class use, with pupils of all abilities. The tests are easy and quick to administer – each taking between 30–60 minutes, depending on the year – and are straightforward to mark.

PUMA Curriculum Maps The PUMA tests provide thorough coverage of the new National Curriculum Programme of Study for the particular year. We have created Curriculum Maps, breaking down the Programme of Study for the year term by term. These Curriculum Maps help to define what PUMA assesses each term. The Curriculum Maps can be downloaded from www.hoddereducation.co.uk/puma. Schools taking part in the standardisation of PUMA followed these Curriculum Maps to guide them in delivering the new National Curriculum, before it was statutory. This made the standardisation of the PUMA tests a valid assessment of the new National Curriculum.

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Why use PUMA? PUMA provides reliable summative information. For example:

PUMA uniquely provides three carefully designed tests for each year, enabling you to follow the progress of your pupils from term to term, as well as year to year throughout primary school.

Marks have been calibrated onto the PUMA Scale to allow you to follow progress

term by term and compare progress to national norms – see page 20 for further

details. It allows you to predict what score they should obtain in subsequent terms

and so set meaningful targets.

However, if you need to establish a National Curriculum level for each pupil,

PUMA tests are calibrated to indicate National Curriculum levels.

Also, because it has a diagnostic capability, PUMA enables you to investigate some of the strengths and weaknesses of your pupils’ mathematics skills. To enable you to use the information in a diagnostic/formative way, total scores can be broken down into distinct aspects of mathematics, giving a useful profile which reflects the categories of the new National Curriculum. These are:

Number, place value and rounding

Addition, subtraction, multiplication and division; algebra

Fractions, decimals and percentages, ratio and proportion

Measures

Geometry: shapes position, direction, motion

Statistics, data handling.

What does PUMA provide? PUMA provides a standardised assessment of a pupil’s mathematics attainment, plus a profile that helps you to identify pupils who may need further teaching and practice, as well as helping you to identify where they are doing well. It provides four ‘global’ measures of mathematics attainment for each pupil:

an age-standardised score (from which a percentile can be derived)

a Mathematics age

a score on the PUMA Scale

National Curriculum sublevels and APP level. Each test also gives a points score (widely used by local authorities). The PUMA test results have been statistically linked from term to term and year to year to enable you to track or predict progress through the whole primary phase. This also enables detailed comparison of individual patterns of performance against the norms and patterns for the term. Underpinning all this is the PUMA Scale: this gives the equivalent of a decimalised level which enables you to monitor small increments of progress from term to term. Although National Curriculum levels are no longer in use, these tests carry forward the standard from 2014, so that you have a measure that may be compared back to previous years, at this time of transition. The PUMA Scale acts as a common ‘spine’ on which all the PUMA tests across the primary phase are plotted (Table 4.3 on page 20 draws this all together). It provides the statistical basis for predicting pupil progress and future attainment, based on the termly performance data of over 10,000 pupils nationally.

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2 Administering the PUMA tests

When to test The PUMA tests have been designed to assess the National Curriculum objectives presented in the PUMA Curriculum Map for that term. They should, ideally, be used just before the end of term.

How to test Give each pupil a test booklet and ask them to write their names on the front cover. Before the test, tell pupils these key points:

That pupils need to read the questions themselves, but weak readers may be given help with reading the question (see ‘Administration’ below).

There will be some sections they can do easily, particularly the earlier questions.

They shouldn’t worry if they find some questions difficult. They should just try their best and move on to see if they can answer some of the following questions.

Ask them to write answers clearly. If they change their mind, they should cross or rub out the wrong answer and write in the new answer.

Group size You can administer the tests to a whole class or large group, if you feel comfortable doing so. With weaker Year 3 children, however, it may be better to work with small groups, with the TA also delivering the test – for example, five or six children of similar ability – so that pauses can be taken, if required.

Timings A maximum time limit of 50 minutes is advised for the Year 3 and 4 tests, and 60 minutes for the Year 5 and 6 tests. In the PUMA standardisation we found that it took well under one minute for a mark for most pupils, unless they were particularly hesitant or slow workers, where extra time may be allowed.

Preparation Each pupil will need the appropriate test booklet and a pencil or pen.

Test conditions For results to be reliable, it is important that the pupils work alone, without copying or discussing their answers.

Administration If any pupils are uncertain about what they need to do, you may give additional explanation to help them understand the requirements of the test. Do not, however, help with the mathematical content of the question or read out any of the actual numbers that form part of the question.

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3 Answers and mark schemes

Marking and recording results Use the score box in the right-hand margin alongside each question in the test booklets to record marks. Some questions have more than one part, or attract more than one mark, so please follow the mark scheme carefully. No half-marks should be awarded. Beneath each score box there are code letters indicating the category of maths the question focuses on (using abbreviations for numeracy, operations, fractions, geometry, measures, statistics and problem solving). If you would like to profile the pupil’s performance, add up the number of marks they have obtained in each coded category and record them on the front cover of the test booklet. You can record total marks for the page at the bottom of each page in the test booklets. Then add together the page scores to find each pupil’s total raw score and record this at the bottom of the front cover. Please use your professional judgement when marking. For example, accept mirror reversals of single digits but not reversals of double-digit numbers. Equally, any clear indication of the answer is acceptable, irrespective of what was asked for (e.g. an object ticked instead of circled). When you have calculated the total raw score for each pupil, refer to the conversion tables to obtain:

the age-standardised score

Mathematics age

PUMA Scale score

plus National Curriculum sublevel and APP level, as required. See ‘Section 4: ‘Obtaining and interpreting test scores’ on page 18 for further details.

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PUMA 3 – Autumn answers and mark scheme

Answer Category

NC level

1 8 ops, PS 1b

2 Join boy to the cylinder and girl to the triangular prism. Both required.

geom 2b

3 8 - 5 = 3 3 + 6 = 9 Both required. No mark if more than these two ticked.

ops 1a

4 Any four small triangles shaded frac 2b

5 (a) 40 (b) 30

num num

2b 2a

6 27, 31 and 55 circled No mark if more than these three circled.

num 2c

7 (a) 60 (b) 11

ops ops

2c 2b

8 (a) France (b) Greece and Turkey (c) 25

stat stat stat, PS

2c 1a 2c

9 14 children ops, PS 2a

10 (a) Pencil and Pad

(b) A 20p, 5p and a 2p circled

No mark for 10p, 10p, 5p, 2p.

meas, PS meas, PS

2b 2c

11 14cm

meas 3b

12 A cross on the pentagon in the hexagons section

geom 2a

13 203, 223, 230, 302, 320

num 2b

14 Any two identical numbers Accept two zeros.

ops 2c

15 83 and 103 445 and 145

num num

2c 2c

16 Crosses drawn on both parallelogram and right-angled triangle only.

geom 3a

17 7 groups ops, PS 3b

18 573 ops 3c

19 Both 740 and 46 only

num 3b

20 Square correctly completed within 2mm of correct vertex, even if ruler not used

geom 3b

9

21 All three correct for 2 marks, two correct for 1 mark.

ops ops

3c 3b

22 15

frac 3a

23

geom 3b

24 30 num, PS 3c

25 845 + 1 ops 3a

26 (a) 40 minutes (b) any one section shaded on cake on left

any two sections shaded on cake on right Both required Vertical faces need not be shaded.

meas frac

3a 3a

27 60 120

frac frac

3a 4c

28 ¾ 1½ Both joined near enough to be unambiguous.

0 1 2

½ ¾ 1½

frac frac

3a 3a

29 118 ops 3a

30 30cm or 0.3m if unit altered meas, PS 4b

PUMA 3 – Autumn: Analysis of performance by category

Category Number of

marks National

average mark National %

Number 8 4.4 55

Operations 12 6.6 52

Fractions 7 1.6 23

Measures 5 1.5 30

Geometry 5 1.8 36

Statistics 3 2.4 80

Total 40 17.9 45

Problem solving 8 4.2 60

4 × 8 20 × 3 12 ÷ 3 24 ÷ 4

6 36 4 32 60

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Answer Category

NC level

1 20 ops 2c

2 47p meas 2c

3 (a) D (b) C

geom geom

2b 2a

4 (a) 25 children (b) 9 girls

ops ops, PS

2c 2b

5 16mph meas 2a

6 Any two rectangles shaded frac 2a

7 250 num 2b

8 24 and 48 Both required.

num 2b

9 C and D only geom 3c

10 60 cherries ops, PS 2a

11

All four numbers correct.

rounds to 150 rounds to 160 rounds to 170

154 161 156 169 172

num

3c

12 50 30 16 All three required.

num 3c

13 (a) Isosceles triangle and trapezium ticked, only. (b) Trapezium (correct spelling not required) Do not accept quadrilateral.

geom geom

3c 4b

14 20 minutes meas 3c

15 4 num 2a

16 12 and 7 × 3 or 3 × 7 Both required.

num 2a

17 (a) Ben and Sarah (b) £15 (accept £15.00, but not £15.0) (c) £80 (accept £80.00, but not £80.0)

stat stat, PS stat, PS

2c 3a 4c

18 7.3 Accept 7 3/10

frac 3b

19 31/3 and 42/3

Both required. frac 3c

20 < < >

ops ops ops

3b 3b 3a

21 30 weeks

meas 3a

22 522 10

ops frac

4c 3b

11

23

frac

frac

4c 4c

24 8 jugs meas 3a

25 15 eggs frac 4c

26 (8, 3) geom 4c

27 10 735 Accept with or without space or comma.

num 3c

28 958 or 938

num, PS 3a

29 (a) 9 flags (b) 8 flags

ops, PS ops, PS

4b 4b

30 8575 ops 4b


Category Number of

marks National


Number 8 5.0 50


Fractions 7 2.2 32

Measures 5 2.4 48

Geometry 6 2.5 42

Statistics 3 1.5 49

Total 40 18.3 46


0.5 0.25 0.04 0.4 0.14

1/4

1/2 4/10

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Answer Category

NC level

1 35 pebbles

ops 2a

2 Any four rectangles shaded.

frac 3b

3 (a) 7 children (b) 22 children

stat, PS stat, PS

2a 2a

4 2¾ and 1¼

frac 4b

5 Bottom right

geom 3c

6 (a) 70 (b) Any one of 32, 33 or 34

num num

2a 3c

7 52 sweets ops, PS 3c

8 4.5cm2 or 4½ cm2 meas 4c

9 1.1 and 2.1 Both required.

frac 3c

10 All four correct.

456 192 758 902 89

num 3b

11 3/8

frac 3b

12 (a) £3.54 (b) £6.46

Accept follow through, i.e. if the answer to (a) and (b) add up to £10

(c) 8

meas meas, PS meas, PS

3a 4c 3b

0 to

200

201 to

400

over 800

601 to

800

401 to

600

mirror line

13

13 717

ops 3a

14 (a) 764 (b) 647 or 627

num, PS num, PS

2a 3c

15 1, 2, 3, 5, 6, 10, 15, 30 All required for the mark. Do not penalise incorrect ordering, the instruction is there to assist marking.

ops 4b

16 (a) 3 (b) 50

ops ops

3a 4c

17 (a) 6 edges (b) 8 faces (c) 12 vertices

geom, PS geom, PS geom

3a 4a 4a

18 (a) 20 (b) 75 (c) can’t tell

stat stat stat

3c 3a 3b

19 4336

ops, PS 4a

20 (a) 60 (b) 90 (c) 40

frac frac frac

3b 4a 5c

21 592

num 3a

22 5 cups

meas 3b

23 1 hr 40 min

meas 4a

24

× 8 3 4

9 72 27 36

3 24 9 12

6 48 18 24 8 or 9 for 2 marks; 6 or 7 correct for 1 mark.

ops ops

3b 3a

25 1 mark for both nearest 100 i.e. 36 300 and 79 800 1 mark for both nearest 1000 i.e. 36 000 and 80 000

num num

4b 4a

26 (a) 100 (b) 7500

ops ops

4b 4b

14

27

frac frac

3b 5c

28 (a) A and C only (b) C and E only

geom geom

4b 5c

29 23 and 29 only ops 4a

30 (a) 2/3 <

5/6

(b) 3/4 >

8/12

frac frac

4b 4b

31 a = 3cm b = 7cm Both required.

meas 5c

32 7656

ops 5c


Category Number of

marks National


Number 8 4.3 54


Fractions 11 4.0 36

Measures 7 2.3 33

Geometry 6 2.0 33

Statistics 5 3.1 63

Total 50 20.7 41


2/100

1/2

2/5

0.5 0.25 0.2 0.4 0.02

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Answer Category

NC level

1 1052 and 1152 Both required.

num 3c

2 4¾ and 5¼ respectively Both required.

frac 3c

3 (a) 22 (b) 90

ops, SP frac

3c 3b

4 Rectangle and both triangles ticked only

geom 3b

5 £3.75 Accept £3.75p, £3-75, £3-75p. Do not accept £375 or £375p.

meas 3b

6 95km/h Accept 94-96

meas 3c

7 819

ops 3b

8 9 and 32 Both required. 15 and 45 Both required.

ops ops, PS

3c 3b

9

positioned closer to middle i.e. 2500, than 2000 or 3000 Accept arrows in the range 2250 and 2750

num 3b

10 3/4, 0.52 and 55% only

frac 3a

11

All correct for 2 marks; any 2 rows correct for 1 mark.

number of edges

number of faces

number of vertices

cube

12 6 8

triangular prism

9 5 6

square based pyramid

8 5 5

geom geom

4c 4a

12 Only 164g and 159g ticked

num 4c

16

13

7 or 8 correct for 2 marks; 5 or 6 correct for 1 mark.

× 12 9 7

8 96 72 56

11 132 99 77

6 72 54 42

ops ops

3c 3a

14 22cm

ops 3b

15 (a) Range 85-86cm (b) Range 45-46 months (c) Range 2-3cm (d) Range 16.5-17.5cm

stat stat, PS stat, PS stat, PS

3a 4b 4b 6c

16 12020

ops 3b

17 8 weeks ops 4b

18 (a) 3/10

(b) 1/3

frac frac

4c 5b

19 All correct for 2 marks; 2 correct for 1 mark.

kilograms grams

5kg 5000g

2.4kg 2400g

½kg 500g

12.5kg or

12½ kg 12 500g

meas meas

3b 4c

20 (a) £128 (b) 30 people

ops, PS ops

4c 4a

21 400 000 and 600 000 num 4c

22 Tom frac, PS 4b

23 253 ops 4b

24 61/8, 6¼, 6½, 65/8, 6¾ All required.

frac 4a

25 (a) 3000 (b) 60

num num

3a 4c

26 1, 2, 3 and 6 only. Ignore the omission of 1

ops 5b

27 (a) 54cm2 (b) 48cm

meas meas

5a 4a

17

28

All correct for 2 marks; 2 correct for 1 mark.

Always Sometimes Never

Multiples of 7 are even…

Prime numbers have exactly two factors…

Square numbers have an odd number of factors…

ops, PS ops, PS

3a 6c

29 590 1000 0.59 All correct for 2 marks; 2 correct for 1 mark.

frac frac

3a 4a

30 Top vertex

geom, PS 5b

31 16

frac 5c

32 28cm

meas, PS 5b

33 (8, 10)

geom, PS 5a

34 (a) 76300 (b) 88 508 Accept answer for part (b) if it is 12 208 greater than the answer for part (a).

ops ops

5c 5a

35 999 940

num, PS 6c


Category Number of

marks National


Number 7 3.8 54


Fractions 10 4.3 43

Measures 7 3.0 43

Geometry 5 1.7 34

Statistics 4 1.5 38

Total 50 23.0 46


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4 Obtaining and interpreting test scores

Summative measures The results obtained from PUMA will enable you to report pupil performance in terms of:

Age-standardised scores (see Section 5)

Mathematics ages (Table 4.2)

National Curriculum sublevels (Table 4.3)

APP level, subdivided as high, secure and low (Table 4.3)

The PUMA Scale (Table 4.3).

For a swift overview, you could compare how well a pupil has done by comparison to Table 4.1, which shows average scores for each year group, by gender, for each PUMA test. You can also compare your own class average raw scores against these averages. Table 4.1: Average test scores by term and gender

Year

Autumn test

Boys Girls Total

3 18.4 17.3 17.9

4 18.6 18.0 18.3

5 21.8 19.3 20.6

6 23.8 22.3 23.0

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Mathematics ages Many teachers use ‘Mathematics ages’ as a quick reference: they shows the average chronological age of the pupils who obtained each particular raw score (i.e. the chronological age at which this level of performance is typical). For more detailed comparative information, however, and especially for tracking progress over time, please refer to standardised scores. Table 4.2: Mathematics ages for the Autumn term

PUMA 3 – Autumn raw score

Mathematics age


Mathematics age


Mathematics age


Mathematics age

1 <7.0 1 <8:3 1 <9:0 1 <10:1 2 <7.0 2 <8:3 2 <9:0 2 <10:1 3 <7.0 3 <8:3 3 <9:0 3 <10:1 4 <7.0 4 <8:3 4 <9:0 4 <10:1 5 <7.0 5 <8:3 5 <9:0 5 <10:1 6 <7.0 6 <8:3 6 <9:0 6 <10:1 7 <7.0 7 <8:3 7 <9:0 7 <10:1 8 <7.0 8 <8:3 8 <9:0 8 <10:1 9 <7.0 9 <8:3 9 <9:0 9 <10:1

10 <7.0 10 <8:3 10 <9:0 10 <10:1 11 <7.0 11 <8:3 11 <9:0 11 <10:1 12 <7.0 12 <8:3 12 <9:0 12 <10:1 13 7:0 13 <8:3 13 <9:0 13 <10:1 14 7:2 14 <8:3 14 9:0 14 <10:1 15 7:4 15 8:3 15 9:1 15 <10:1 16 7:5 16 8:4 16 9:2 16 <10:1 17 7:7 17 8:7 17 9:4 17 <10:1 18 7:8 18 8:8 18 9:5 18 <10:1 19 7:10 19 8:9 19 9:7 19 <10:1 20 8:0 20 8:11 20 9:8 20 <10:1

21 8:1 21 9:1 21 9:10 21 10:1

22 8:3 22 9:2 22 9:11 22 10:3

23 8:4 23 9:4 23 10:0 23 10:5

24 8:6 24 9:6 24 10:2 24 10:8

25 8:7 25 9:7 25 10:3 25 10:11

26 8:9 26 9:9 26 10:4 26 11:1

27 8:11 27 9:11 27 10:6 27 11:4

28 9:0 28 10:1 28 10:7 28 11:7

29 9:2 29 10:2 29 10:9 29 11:9

30 >9:2 30 >10:2 30 10:10 30 12:0

31 >9:2 31 >10:2 31 11:0 31 12:2

32 >9:2 32 >10:2 32 11:1 32 12:5

33 >9:2 33 >10:2 33 11:3 33 >12:5

34 >9:2 34 >10:2 34 >11:3 34 >12:5 35 >9:2 35 >10:2 35 >11:3 35 >12:5 36 >9:2 36 >10:2 36 >11:3 36 >12:5 37 >9:2 37 >10:2 37 >11:3 37 >12:5 38 >9:2 38 >10:2 38 >11:3 38 >12:5 39 >9:2 39 >10:2 39 >11:3 39 >12:5 40 >9:2 40 >10:2 40 >11:3 40 >12:5

41 >11:3 41 >12:5 42 >11:3 42 >12:5 43 >11:3 43 >12:5 44 >11:3 44 >12:5 45 >11:3 45 >12:5 46 >11:3 46 >12:5 47 >11:3 47 >12:5 48 >11:3 48 >12:5 49 >11:3 49 >12:5 50 >11:3 50 >12:5

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Reporting progress – the PUMA Scale In developing the PUMA tests, seven cohorts of 1,000+ pupils (just over 8,000 pupils in total) were tracked termly over four terms. Relating this data together statistically through the PUMA Scale enables you to link pupil performance from term to term and year to year. It provides a firm basis on which to project future performance. Table 4.3 provides a complete set of reference data for reporting progress for each test in terms of the PUMA Scale score (and, for reference, National Curriculum and APP levels and LA points scores). Find the raw score in the column for the test your pupils have taken, then read across to obtain the ‘level’ information in the form you require. Table 4.3: Relating scores to different scales Years 3–4

PUMA Scale



NC sublevels

APP range

Points score

PUMA Scale

1.0 <5 <3 1c 1L 8 1.0

1.1 5 3 1c 1L 8 1.1

1.2 5 3 1c 1S 8 1.2

1.3 6 4 1b 1S 9 1.3

1.4 6 4 1b 1S 9 1.4

1.5 6 4 1b 1S 10 1.5

1.6 6 4 1b 1S 10 1.6

1.7 7 5 1a 1S 11 1.7

1.8 7 5 1a 1H 11 1.8

1.9 8 5 1a 1H 12 1.9

2.0 9 6 2c 2L 13 2.0

2.1 10 7 2c 2L 13 2.1

2.2 11 8 2c 2S 14 2.2

2.3 12–13 9 2b 2S 15 2.3

2.4 14–15 9 2b 2S 15 2.4

2.5 16–17 10 2b 2S 16 2.5

2.6 18 11 2b 2S 16 2.6

2.7 19–20 12–13 2a 2S 17 2.7

2.8 21 14 2a 2H 17 2.8

2.9 22 15 2a 2H 18 2.9

3.0 23–24 16–17 3c 3L 19 3.0

3.1 25 18–19 3c 3L 19 3.1

3.2 26 20–21 3c 3S 20 3.2

3.3 27 22 3b 3S 21 3.3

3.4 27 22 3b 3S 21 3.4

3.5 28 23 3b 3S 22 3.5

3.6 29 23 3b 3S 22 3.6

3.7 30–31 24–25 3a 3S 23 3.7

3.8 32 26 3a 3H 23 3.8

3.9 33 27 3a 3H 24 3.9

4.0 34 28 4c 4L 25 4.0

4.1 34 29 4c 4L 25 4.1

4.2 35 30 4c 4S 26 4.2

4.3 36 31 4b 4S 27 4.3

4.4 36 32 4b 4S 27 4.4

4.5 37 33 4b 4S 28 4.5

4.6 38 34 4b 4S 28 4.6

4.7 39 35 4a 4S 29 4.7

4.8 39 35 4a 4H 29 4.8

4.9 40 35 4a 4H 30 4.9

5.0 36–37 5c 5L 31 5.0

5.1 38–39 5c 5L 31 5.1

5.2 40 5c 5S 32 5.2

21

Years 5–6

PUMA Scale



NC sublevels

APP range

Points score

PUMA Scale

1.0 <3 1c 1L 8 1.0

1.1 <3 1c 1L 8 1.1

1.2 <3 1c 1S 8 1.2

1.3 <3 1b 1S 9 1.3

1.4 <3 1b 1S 9 1.4

1.5 <3 1b 1S 10 1.5

1.6 <3 1b 1S 10 1.6

1.7 3 1a 1S 11 1.7

1.8 3 1a 1H 11 1.8

1.9 3 1a 1H 12 1.9

2.0 4 1 2c 2L 13 2.0

2.1 4 2 2c 2L 13 2.1

2.2 5 3 2c 2S 14 2.2

2.3 6 4 2b 2S 15 2.3

2.4 6 4 2b 2S 15 2.4

2.5 7 5 2b 2S 16 2.5

2.6 7 5 2b 2S 16 2.6

2.7 8 6 2a 2S 17 2.7

2.8 9 7 2a 2H 17 2.8

2.9 10 8 2a 2H 18 2.9

3.0 11–12 9 3c 3L 19 3.0

3.1 13–14 10 3c 3L 19 3.1

3.2 15 11 3c 3S 20 3.2

3.3 16 12–13 3b 3S 21 3.3

3.4 17 14 3b 3S 21 3.4

3.5 18 15 3b 3S 22 3.5

3.6 19 16 3b 3S 22 3.6

3.7 20–21 17 3a 3S 23 3.7

3.8 22–23 18 3a 3H 23 3.8

3.9 24 19 3a 3H 24 3.9

4.0 25–26 20–21 4c 4L 25 4.0

4.1 27–28 22–23 4c 4L 25 4.1

4.2 29 24–25 4c 4S 26 4.2

4.3 30–31 26–27 4b 4S 27 4.3

4.4 32–33 28 4b 4S 27 4.4

4.5 34 29 4b 4S 28 4.5

4.6 35 30 4b 4S 28 4.6

4.7 36 31–32 4a 4S 29 4.7

4.8 36 33 4a 4H 29 4.8

4.9 37 34 4a 4H 30 4.9

5.0 38–38 35–36 5c 5L 31 5.0

5.1 40 37–38 5c 5L 31 5.1

5.2 41 39 5c 5S 32 5.2

5.3 42 40 5b 5S 33 5.3

5.4 43 40 5b 5S 33 5.4

5.5 44 41 5b 5S 34 5.5

5.6 45 42 5b 5S 34 5.6

5.7 46–47 43–44 5a 5S 35 5.7

5.8 48–48 45–46 5a 5H 35 5.8

5.9 49–50 47–48 5a 5H 36 5.9

6.0 49–50 6c 6L 37 6.0

22

Predicting future performance The tests for each term cover a range of demand appropriate to the year and term. In Table 4.4 below you can see at a glance the PUMA Scale score of a pupil in any term and track to the next column to find the anticipated PUMA Scale score they will obtain, if they make average progress. As the tests are designed to challenge pupils around the level at which they are expected to be working, you may find that pupils get similar raw scores from term to term across a year, but their level of performance will continue to increase, as shown in the PUMA Scale score,. You may wish to set targets, to provide an opportunity to measure the ‘value added’ over a term or year. This is possible for both individual pupils and whole classes, by reference to the average performance data of over 1,000 pupils in each year group, from term to term and across all the years, in the standardisation sample. Table 4.4 provides this information. Monitoring the difference between the actual PUMA Scale score and the predicted average PUMA Scale score enables you to see if able children increasingly diverge from predicted progress or weaker children begin to converge toward normal progress. [See Table 4.4 on the next page]

23

Table 4.4: Monitoring and predicting progress from Autumn to Spring terms

Average PUMA 3 – Autumn

PUMA Scale score

Average PUMA 3 – Spring PUMA Scale score


PUMA Scale score



PUMA Scale score


Average PUMA 6

– Autumn PUMA Scale score


1.0 1.6 1.0

1.1 1.7 1.1 1.7 1.1 2.0

1.2 1.8 1.2 1.7 1.2 2.0

1.3 1.9 1.3 1.8 1.3 2.1

1.4 2.0 1.4 1.9 1.4 2.2

1.5 2.0 1.5 1.9 1.5 2.3

1.6 2.1 1.6 2.0 1.6 2.4

1.7 2.2 1.7 2.0 1.7 2.5

1.8 2.3 1.8 2.2 1.8 2.5

1.9 2.3 1.9 2.3 1.9 2.6

2.0 2.4 2.0 2.4 2.0 2.7 2.0 2.7

2.1 2.5 2.1 2.5 2.1 2.8 2.1 2.8

2.2 2.6 2.2 2.6 2.2 2.8 2.2 2.9

2.3 2.6 2.3 2.7 2.3 2.9 2.3 3.0

2.4 2.7 2.4 2.7 2.4 3.0 2.4 3.0

2.5 2.8 2.5 2.8 2.5 3.1 2.5 3.1

2.6 2.9 2.6 2.9 2.6 3.2 2.6 3.2

2.7 3.0 2.7 3.0 2.7 3.2 2.7 3.3

2.8 3.0 2.8 3.1 2.8 3.3 2.8 3.4

2.9 3.1 2.9 3.2 2.9 3.4 2.9 3.5

3.0 3.2 3.0 3.2 3.0 3.5 3.0 3.5

3.1 3.3 3.1 3.3 3.1 3.6 3.1 3.6

3.2 3.3 3.2 3.4 3.2 3.6 3.2 3.7

3.3 3.4 3.3 3.5 3.3 3.7 3.3 3.8

3.4 3.5 3.4 3.6 3.4 3.8 3.4 3.9

3.5 3.6 3.5 3.7 3.5 3.9 3.5 3.9

3.6 3.6 3.6 3.7 3.6 4.0 3.6 4.0

3.7 3.7 3.7 3.8 3.7 4.0 3.7 4.1

3.8 3.8 3.8 3.9 3.8 4.1 3.8 4.2

3.9 3.9 3.9 4.0 3.9 4.2 3.9 4.3

4.0 4.0 4.0 4.1 4.0 4.3 4.0 4.3

4.1 4.0 4.1 4.1 4.1 4.3 4.1 4.4

4.2 4.1 4.2 4.2 4.2 4.4 4.2 4.5

4.3 4.2 4.3 4.3 4.3 4.5 4.3 4.6

4.4 4.3 4.4 4.4 4.4 4.6 4.4 4.7

4.5 4.3 4.5 4.5 4.5 4.7 4.5 4.8

4.6 4.4 4.6 4.6 4.6 4.7 4.6 4.8

4.7 4.5 4.7 4.7 4.7 4.8 4.7 4.9

4.8 4.5 4.8 4.7 4.8 4.9 4.8 5.0

4.9 4.6 4.9 4.8 4.9 5.0 4.9 5.1

5.0 4.9 5.0 5.0 5.0 5.2

5.1 5.0 5.1 5.1 5.1 5.2

5.2 5.1 5.2 5.2 5.2 5.3

5.3 5.3 5.3 5.4

5.4 5.4 5.4 5.5

5.5 5.5 5.5 5.6

5.6 5.5 5.6 5.7

5.7 5.6 5.7 5.7

5.8 5.7 5.8 5.8

5.9 5.9

6.0 6.0

24

5 Standardised score conversion tables Age-standardised scores for PUMA 3 – Autumn

Raw score

Age in years and months

7:00 7:1 7:2 7:3 7:4 7:5 7:6 7:7 7:8 7:9 7:10 7:11 8:00 8:01 8:02 8:03 8:04 8:05 8:06 8:07 8:08 8:09 8:10 8:11 9:00 9:01 9:02

1

2 72 69

3 77 75 73 70

Award < 69 for all scores in this area

4 81 79 77 76 74 72 70

5 84 82 81 79 78 76 74 72 71

6 86 85 83 82 81 79 78 76 75 73 72 70

7 89 88 86 85 83 82 81 80 78 77 76 74 72 71 69

8 92 90 89 87 86 85 83 82 81 80 78 77 76 75 73 72 70

9 93 92 91 90 89 87 86 84 83 82 81 80 79 77 76 75 74 72 71 70

10 95 94 93 92 91 90 88 87 86 84 83 82 81 80 79 78 77 76 74 73 72 70 69

11 97 96 95 94 93 92 91 89 88 87 85 84 83 82 81 80 79 78 77 76 75 73 72 71 70

12 99 98 97 95 94 93 92 91 90 89 88 86 85 84 83 82 81 80 79 78 77 76 75 74 73 72 71

13 101 100 99 97 96 95 94 93 92 91 90 89 87 86 85 84 83 82 81 80 79 78 77 76 75 74 73

14 102 101 100 99 98 97 96 95 94 93 92 91 90 88 87 86 85 84 83 82 81 80 79 78 77 77 76

15 104 103 102 101 100 99 98 96 95 94 93 92 92 90 89 88 87 86 85 84 83 82 81 80 79 79 78

16 106 105 104 102 101 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84 83 82 81 80 80

17 108 107 106 104 103 102 101 100 99 98 97 95 94 94 93 92 91 90 89 88 87 86 85 84 83 82 81

18 110 108 107 106 105 104 103 101 101 100 99 97 96 95 94 93 93 92 91 90 89 87 86 85 85 84 83

19 112 110 109 108 107 106 105 103 102 101 100 99 98 97 96 95 94 93 92 91 90 89 88 87 86 85 84

20 114 113 111 110 109 107 106 105 104 103 102 101 100 99 98 96 95 94 94 93 92 91 90 89 88 87 86

21 116 115 113 112 111 109 108 107 106 105 104 102 101 100 99 98 97 96 95 94 93 93 92 91 90 89 88

22 118 116 115 114 113 112 110 109 108 107 106 104 103 102 101 100 99 98 97 96 95 94 93 92 91 91 90

23 119 118 117 116 115 114 113 111 110 108 107 106 105 104 102 101 100 99 99 97 96 95 94 94 93 92 91

24 122 120 119 118 117 116 114 113 112 110 109 108 107 106 104 103 102 101 100 99 98 97 96 95 94 93 93

25 124 123 121 120 119 118 116 115 114 113 111 110 109 107 106 105 104 103 101 101 100 99 98 96 95 95 94

26 126 125 124 122 121 120 118 117 116 115 114 112 111 109 108 107 106 105 103 102 101 100 99 98 97 96 95

27 128 127 126 125 123 122 121 119 118 117 116 114 113 112 110 109 108 107 105 104 103 102 101 100 99 98 97

28 130 129 128 127 126 125 123 122 120 119 118 116 115 114 113 111 110 108 107 106 105 104 102 101 100 99 98

29 130 129 128 127 126 124 123 121 120 119 117 116 115 114 112 110 109 108 107 106 104 103 102 101 100

30 130 129 128 127 125 124 123 121 120 118 117 116 114 113 111 110 108 107 106 105 104 102 101

31 130 129 128 127 125 124 122 121 119 118 117 115 114 112 111 109 108 107 106 104 103

32 130 129 128 126 125 124 122 120 119 118 116 115 113 112 110 109 107 106 105

33 130 129 128 126 125 123 122 120 118 117 116 114 113 111 110 108 107

34 130 129 128 126 125 123 121 120 118 117 115 114 112 110 109

35 130 129 127 126 124 123 121 119 118 116 115 113 112

36 Award > 130 for all scores in this

area

130 129 127 126 124 122 120 119 117 116 114

37 130 129 127 125 124 122 120 118 117

38 130 129 127 125 123 121 119

39 130 129 127 125 123

40 130 129 127

25

Age-standardised scores for PUMA 4 – Autumn

Raw score

Age In years and months

8:3 8:4 8:5 8:6 8:7 8:8 8:9 8:10 8:11 9:0 9:1 902 9:3 9:4 9:5 9:6 9:7 9:8 9:9 9:10 9:11 10:0 10:1 10:2

1

2 70

3 73 72 70


4 77 75 73 72 70

5 80 78 76 75 73 72 70

6 82 81 79 78 76 75 73 72 70

7 84 83 82 81 79 78 76 75 73 72 70

8 86 85 84 83 81 80 79 77 76 75 73 72 70

9 89 87 86 85 84 82 81 80 79 77 76 75 73 72 71 69

10 91 90 88 87 86 84 83 82 81 80 78 77 76 74 73 72 71 69

11 93 92 91 89 88 87 85 84 83 82 81 80 78 77 76 74 73 72 71 69

12 94 93 93 92 90 89 88 86 85 84 83 82 81 79 78 77 76 74 73 72 71 70

13 96 95 94 93 92 91 90 89 87 86 85 84 83 81 80 79 78 77 75 74 73 72 71 70

14 98 97 96 95 94 93 92 91 90 88 87 86 84 83 82 81 80 79 78 77 75 74 73 72

15 100 99 98 96 95 94 94 93 92 90 89 88 87 85 84 83 82 81 80 79 78 76 75 74

16 101 100 99 98 97 96 95 94 93 92 91 90 89 87 86 85 84 83 82 81 80 79 77 76

17 103 102 101 100 99 98 97 96 95 94 93 92 91 90 88 87 86 85 84 83 82 81 80 78

18 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91 89 88 87 86 84 83 82 81 80

19 106 105 104 103 102 101 100 99 98 97 96 95 94 93 93 91 90 89 88 86 85 84 83 82

20 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91 90 89 87 86 85 84

21 110 109 108 107 106 105 104 103 102 101 100 99 98 97 96 95 94 93 92 91 89 88 87 86

22 111 111 110 109 108 107 106 105 104 103 102 101 100 99 98 96 95 94 93 93 92 90 89 88

23 113 112 111 111 110 109 108 107 106 105 104 102 101 100 99 98 97 96 95 94 93 92 91 90

24 115 114 113 112 111 111 110 109 108 107 105 104 103 102 101 100 99 98 97 96 95 94 93 92

25 117 116 115 114 113 112 111 110 110 109 108 106 105 104 103 102 101 100 99 98 96 95 94 94

26 118 117 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 102 101 100 99 97 96 95

27 120 119 118 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 103 101 100 99 98 97

28 122 121 120 119 118 118 117 116 115 114 113 112 111 110 109 108 107 106 105 103 102 101 100 99

29 124 123 122 121 120 120 119 118 117 116 116 115 113 112 111 110 109 108 107 106 104 103 102 101

30 126 125 124 123 123 122 121 120 119 118 117 117 116 115 114 112 111 110 109 108 107 105 104 103

31 128 128 127 126 125 124 123 122 121 120 119 118 118 117 116 115 114 112 111 110 109 108 107 105

32 130 129 129 128 127 126 125 124 123 122 121 120 119 118 117 116 115 114 112 111 110 109 108

33 130 129 129 128 126 125 124 123 122 121 120 119 118 117 116 115 114 113 111 110

34 131 130 129 128 126 125 124 123 122 121 120 118 117 116 115 114 113

35 130 129 127 126 125 124 123 121 120 119 118 117 115

36

Award > 131 for all scores in this area

130 129 127 126 125 123 122 121 119 118

37 130 129 127 126 124 123 121

38 130 129 127 125

39 131

40

26


Raw score


9:0 9:1 9:2 9:3 9:4 9:5 9:6 9:7 9:8 9:9 9:10 9:11 10:0 10:1 10:2 10:3 10:4 10:5 10:6 10:7 10:8 10:9 10:10 10:11 11:0 11:01 11:2 11:3

1

2 71

3 77 76 73 71


4 80 79 78 76 75 73 71 70

5 83 82 81 79 78 77 76 75 73 72 70

6 85 84 83 82 81 80 79 78 77 76 75 73 72 70

7 87 86 85 84 83 82 81 80 79 78 77 77 76 75 73 72 71 69

8 89 88 87 86 85 84 83 82 82 81 80 79 78 77 76 76 75 73 72 71 70

9 91 90 89 88 87 86 85 84 84 83 82 81 80 79 78 78 77 76 76 75 73 72 71 70

10 93 92 91 90 89 88 87 86 85 85 84 83 82 81 80 79 79 78 77 77 76 75 74 73 72 71 70

11 95 94 93 92 91 90 89 88 87 86 85 85 84 83 82 81 81 80 79 78 78 77 76 76 75 74 73 72

12 97 96 94 93 92 91 90 89 88 88 87 86 85 85 84 83 82 81 81 80 79 79 78 77 77 76 76 75

13 98 97 96 95 94 93 92 91 90 89 88 87 87 86 85 85 84 83 82 82 81 80 80 79 78 78 77 77

14 100 99 98 97 96 94 93 93 92 91 90 89 88 87 87 86 85 85 84 83 82 82 81 81 80 79 79 78

15 101 100 99 98 97 96 95 94 93 92 91 90 89 89 88 87 86 86 85 85 84 83 83 82 81 81 80 80

16 102 101 100 99 99 98 97 96 95 94 93 92 91 90 89 88 88 87 86 86 85 85 84 83 83 82 81 81

17 104 103 102 101 100 99 98 97 96 95 94 93 92 92 91 90 89 88 88 87 86 86 85 85 84 83 83 82

18 105 104 103 102 101 100 99 99 98 97 96 95 94 93 92 91 90 90 89 88 88 87 86 86 85 85 84 83

19 106 105 105 104 102 101 101 100 99 98 97 96 95 94 93 93 92 91 90 89 89 88 87 87 86 86 85 85

20 107 107 106 105 104 103 102 101 100 99 98 98 97 96 95 94 93 92 91 91 90 89 89 88 87 87 86 86

21 108 108 107 106 105 104 103 102 101 100 100 99 98 97 96 95 94 94 93 92 91 90 90 89 88 88 87 87

22 110 109 108 107 106 106 105 104 103 102 101 100 99 98 98 97 96 95 94 93 92 92 91 90 90 89 88 88

23 112 110 109 108 107 107 106 105 104 103 102 101 100 100 99 98 97 96 95 94 94 93 92 91 91 90 89 89

24 113 112 111 110 109 108 107 106 105 104 104 102 101 101 100 99 98 98 97 96 95 94 93 93 92 91 90 90

25 114 113 113 111 110 109 108 107 106 106 105 104 103 102 101 100 99 99 98 97 96 96 95 94 93 92 92 91

[Table continues on next page]

27

[PUMA 5 Table cont.]

Raw score


9:0 9:1 9:2 9:3 9:4 9:5 9:6 9:7 9:8 9:9 9:10 9:11 10:0 10:1 10:2 10:3 10:4 10:5 10:6 10:7 10:8 10:9 10:10 10:11 11:0 11:01 11:2 11:3

26 116 115 114 113 112 111 109 108 108 107 106 105 104 103 102 101 101 100 99 98 98 97 96 95 94 93 93 92

27 117 116 115 114 113 112 111 110 109 108 107 106 106 105 104 103 102 101 100 99 99 98 97 97 96 95 94 93

28 119 118 117 116 115 114 113 111 110 109 108 107 107 106 105 104 103 102 101 100 100 99 98 98 97 96 95 94

29 121 119 118 117 116 115 114 113 112 111 110 109 108 107 106 105 104 104 102 102 101 100 99 99 98 97 97 96

30 123 121 120 119 118 116 115 114 113 112 111 110 109 108 107 106 106 105 104 103 102 101 100 100 99 98 98 97

31 125 123 122 121 119 118 117 116 115 114 113 112 110 109 108 107 107 106 105 104 103 102 101 101 100 99 99 98

32 127 125 124 123 121 120 119 117 116 115 114 113 112 111 110 109 108 107 106 105 105 104 103 102 101 100 100 99

33 129 128 126 125 123 122 121 119 118 117 116 115 114 113 111 110 109 108 107 107 106 105 104 103 102 101 101 100

34 130 129 127 126 124 123 121 120 118 117 116 115 114 113 112 111 109 108 108 107 106 105 104 103 102 102 101

35 130 128 126 125 123 122 120 119 118 117 115 114 113 112 111 110 109 108 107 106 106 105 104 103 102

36 131 129 127 126 124 123 121 120 118 117 116 115 114 113 112 110 109 108 107 107 106 105 104 103

37 130 128 127 125 123 122 120 119 118 116 115 114 113 112 111 110 109 108 107 106 105 105

38 129 128 126 124 123 121 119 118 117 116 115 114 113 111 110 109 108 107 106 106

39 130 128 127 125 123 122 120 119 118 116 115 114 113 112 110 109 108 107 107

40 129 128 126 124 123 121 119 118 117 116 114 113 112 111 110 109 108

41 131 129 127 125 123 122 120 119 117 116 115 114 113 112 110 109

42 130 128 126 124 123 121 119 118 117 115 114 113 112 111

43 129 127 125 123 122 120 118 117 116 115 114 113

44 130 128 126 124 122 121 119 118 116 115 114

45 129 127 125 123 122 120 118 117 116

46

Award > 131 for all scores in this area 130 128 126 124 122 121 119 118

47 130 127 125 123 122 120

48 129 126 124 122

49 130 128 125

50 129

28


[Table continues on next page]

Raw score


10:1 10:2 10:3 10:4 10:5 10:6 10:7 10:8 10:9 10:10 10:11 11:0 11:1 11:2 11:3 11:4 11:5 11:6 11:7 11:8 11:9 11:10 11:11 12:0 12:1 12:2

1

2

3


4

5 72 70

6 76 75 73 71

7 79 78 77 76 74 72 70

8 81 80 79 78 77 76 75 73 71

9 83 82 82 81 80 79 78 77 76 75 72 70

10 85 84 84 83 82 81 80 80 79 78 77 76 74 71

11 86 86 85 85 84 83 83 82 81 80 79 78 77 76 75 72 70

12 87 87 86 86 86 85 85 84 83 82 82 81 80 79 78 77 76 74 71

13 88 88 88 87 87 86 86 85 85 85 84 83 82 81 80 79 78 77 76 75 72 70

14 90 89 89 88 88 88 87 87 86 86 85 85 84 84 83 82 81 80 79 78 77 76 74 71

15 91 90 90 89 89 89 88 88 87 87 87 86 86 85 85 84 83 82 82 81 80 79 78 76 75 73

16 92 92 91 91 90 90 89 89 89 88 88 87 87 86 86 86 85 85 84 83 82 81 80 79 78 77

17 94 93 93 92 92 91 91 90 90 89 89 88 88 88 87 87 86 86 85 85 84 84 83 82 81 80

18 95 95 94 94 93 93 92 92 91 91 90 90 89 89 88 88 88 87 87 86 86 85 85 84 83 82

19 96 96 95 95 95 94 94 93 93 92 91 91 90 90 90 89 89 88 88 87 87 87 86 86 85 85

20 98 97 97 96 96 95 95 95 94 94 93 92 92 91 91 90 90 89 89 89 88 88 87 87 86 86

21 100 99 98 98 97 96 96 96 95 95 95 94 94 93 92 92 91 91 90 90 89 89 89 88 88 87

22 102 101 100 100 99 98 97 97 96 96 95 95 95 94 94 93 93 92 92 91 91 90 90 89 89 88

23 103 103 102 101 101 100 99 98 98 97 97 96 96 95 95 95 94 94 93 93 92 92 91 91 90 90

24 105 104 104 103 102 102 101 101 100 99 98 98 97 96 96 96 95 95 95 94 94 93 92 92 91 91

25 107 106 105 105 104 103 103 102 101 101 100 100 99 98 97 97 96 96 96 95 95 95 94 94 93 92

29

[PUMA 6 Table cont.]

Raw score


10:1 10:2 10:3 10:4 10:5 10:6 10:7 10:8 10:9 10:10 10:11 11:0 11:1 11:2 11:3 11:4 11:5 11:6 11:7 11:8 11:9 11:10 11:11 12:0 12:1 12:2

26 108 108 107 106 105 105 104 104 103 102 102 101 101 100 99 98 98 97 97 96 96 95 95 95 94 94

27 109 109 109 108 107 106 106 105 105 104 103 103 102 101 101 100 100 99 98 98 97 96 96 96 95 95

28 110 110 109 109 109 108 108 107 106 105 105 104 104 103 102 102 101 101 100 99 99 98 97 97 96 96

29 111 111 110 110 109 109 109 108 108 107 106 105 105 104 104 103 103 102 102 101 100 100 99 98 98 97

30 113 112 111 111 110 110 110 109 109 108 108 107 106 106 105 105 104 104 103 102 102 101 101 100 100 99

31 115 114 112 112 111 111 110 110 110 109 109 108 108 108 107 106 105 105 104 104 103 103 102 102 101 101

32 117 116 115 113 112 112 111 111 110 110 110 109 109 109 108 108 107 106 106 105 105 104 104 103 102 102

33 119 118 117 116 114 113 112 112 111 111 110 110 110 109 109 109 108 108 107 106 106 105 105 104 104 103

34 123 121 119 118 116 115 114 113 112 112 111 111 110 110 110 109 109 109 108 108 108 107 106 105 105 104

35 127 124 122 120 118 117 116 115 114 113 112 112 111 111 110 110 110 109 109 109 108 108 108 107 106 106

36 130 124 122 121 119 118 117 116 115 114 113 112 112 111 111 110 110 110 109 109 109 109 108 108 107

37 126 123 122 120 119 118 117 116 114 113 113 112 112 111 111 111 110 110 109 109 109 109 108

38 128 124 122 121 119 118 117 116 115 114 113 112 112 112 111 111 111 110 110 110 109 109

39 130 125 123 122 120 119 118 117 116 115 114 113 112 112 112 111 111 111 110 110 110

40 127 124 122 121 120 118 118 117 116 115 114 113 112 112 112 111 111 111 110

41 129 125 123 122 120 119 118 117 116 116 115 114 113 112 112 112 111 111

42 130 126 124 122 121 120 119 118 117 116 115 114 114 113 112 112 112

43 128 124 123 122 120 119 118 117 117 116 115 114 113 113 112

44 129 126 124 122 121 120 119 118 117 116 116 115 114 113

45 131 127 124 123 122 121 119 119 118 117 116 116 115

46

Award > 131 for all scores in this area

128 125 124 122 121 120 119 118 117 117 116

47 130 126 124 123 122 121 120 119 118 117

48 128 125 123 122 121 120 119 118

49 129 126 124 123 122 121 120

50 130 127 124 123 122 121

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