Progress in Understanding Mathematics Assessment · PDF fileProgress in Understanding...
Transcript of Progress in Understanding Mathematics Assessment · PDF fileProgress in Understanding...
Progress in Understanding Mathematics Assessment
pumaColin McCartyCaroline Cooke
Interim Spring ManualStage 2
Years3–6
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Copyright © 2015 Hodder and Stoughton Limited First published in 2015 by Hodder Education, an Hachette UK company, 338 Euston Road, London NW1 3BH
All rights reserved. Apart from any use permitted under UK copyright law, no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying and recording, or held within any information storage and retrieval system, without permission in writing from the publisher. This publication is excluded from the reprographic licensing scheme administered by the Copyright Licensing Agency Ltd.
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puma Introduction 5
Answers and mark schemes 6
Obtaining and interpreting test scores 17Relating PUMA raw scores to different scales 19Age-standardised scores 23
Contents
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puma Introduction
This interim Manual for PUMA SpringWe have brought forward publication of the PUMA Spring tests, so that you can make use of PUMA in the Spring term, before publication of the full Manuals in April 2015. To support you in using the PUMA Spring tests, this free teacher guidance provides everything you need to administer and mark these tests – teacher scripts, mark schemes and score conversion tables.
For guidance on how to administer the tests, before publication of the full Manuals, please refer to the Interim Autumn manuals at www.hoddereducation.co.uk/puma/teacherguidance.
The full published Manuals for Key Stage 1 and Key Stage 2 will provide more extensive teacher guidance, including full information relating to the PUMA Autumn, Spring and Summer tests. 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 profi le sheets for each term, to enable you to review patterns of
strengths and weaknesses across the year. ■ Further data analysis, enabling you to predict future performance with the
Hodder Scale (previously called the ‘PUMA Scale’) ■ Further information about interpreting and analysing results
■ Technical information about the standardisation ■ Teacher scripts and mark schemes for all the PUMA tests.
In the meantime, should you have any queries about using the PUMA Spring tests, please email [email protected].
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puma Answers and mark scheme: PUMA 3 Spring
No. Answer ReferenceHodder Scale ofdemand
1 8 sweets frac low 2
2 18 ops mid 2
3 8336
numnum
low 2low 2
4 16 boys ops, PS mid 2
5 (a) 65p(b) 35pAward the mark for (b) if the answers to (a) and (b) sum to £1
measmeas, PS
mid 2low 3
6 88 num high 2
7 × –+ All three required
ops low 2
8 frac high 2
9 60 num mid 2
10 24 cubes ops, PS high 2
11 Any 6 squares shaded frac high 3
12 670g num, PS high 2
13 (a) 2(b) 2
geomgeom
high 2mid 3
14 56, 24, 72 num mid 3
15 3345
fracfrac
mid 3mid 3
16 17 � sh ops, PS high 3
17 2051016
numnum
low 2high 2
18 423 ops high 3
19 25 frac high 3
20 710 frac low 3
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PUMA 3 Spring: Analysis of performance by category
No. Answer ReferenceHodder Scale ofdemand
21 geom, PSgeom, PS
low 3mid 3
22 15
35
55
75
All four required in this order
frac high 2
23 (a) 15 more people(b) 27 Only 27 ticked(c) 3 buses
stat, PSstat, PSstat, PS
low 3low 3mid 3
24 794 ops high 3
25 10:10 1:50
measmeas
mid 3high 3
26 6 vertices geom mid 3
27 35 pencils ops, PS low 4
28 4 × 6 and 3 × 8Both required
ops mid 3
29 375g meas mid 4
30 592 ops mid 4
31 7 frac, PS low 4
CategoryNumber of marks
availableNational average
markNational %
Number 8 5.3 67
Operations 10 4.2 48
Fractions 9 4.2 47
Measures 5 1.9 38
Geometry 5 2.2 44
Statistics 3 1.2 43
Total 40 19.3 48
Problem solving 12 5.1 42
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puma Answers and mark scheme: PUMA 4 Spring
No. Answer ReferenceHodder Scale ofdemand
1 Accept any two different pairs which sum to 190, e.g.80 and 110, 135 and 55, 1 and 189, 100 and 90
ops mid 2
2 geom low 3
3 403 sweets num high 2
4 80 nuts frac, PS mid 2
5 18 � sh ops, PS low 3
6 (a) 300(b) 1350
numnum
mid 2high 2
7 (6,5) geom, PS mid 3
8 234 frac high 3
9 400, 500, 700Do not accept 400 and 600 with two ticks
ops, PS mid 3
10 (a) 3.5kg or 312
kg
(b) 1.5kg or 112 kg
(c) 3kg
stat, PS
stat, PSstat, PS
low 3
high 3mid 3
11
right-angled equilateral isosceles scalene
geom mid 3
12 30853853
num high 2
13 260 ops mid 3
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No. Answer ReferenceHodder Scale ofdemand
14 right angles acute angles obtuse angles1 2 1
Both required
geom high 3
15 66, 54, 18All three and no others required for the mark
num low 3
16 (a) 9 coins(b) £1.60
meas, PSmeas, PS
low 3low 3
17 8 packs ops, PS mid 3
18 561, 605, 599All three and no others required for the mark
num mid 3
19 Any 8 squares shaded frac low 4
20 7 ops, PS mid 4
21 (a) £6.60(b) £3.40 Award the mark for (b) if the answers for (a) and (b) sum to £10
frac, PSfrac, PS
mid 3high 3
22 127 ops high 3
23 11, -1, -13All three correct for 2 marks or any two correct for 1 mark
numnum
low 3mid 3
24 2 and 244 and 12These pairs can be in any order within the list
opsops
high 3low 4
25 time 24-hour clock20 minutes to 11in the morning
10:40
25 past 4in the afternoon
16:25
measmeas
low 4mid 4
26 3500mlAnswer must be in ml
meas high 4
27 35
frac mid 3
28 3 squares down5 squares to the rightBoth required
geom mid 4
29 1548 ops mid 4
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PUMA 4 Spring: Analysis of performance by category
CategoryNumber of marks
availableNational average
markNational %
Number 8 5.3 68
Operations 10 4.0 40
Fractions 9 3.4 38
Measures 5 1.7 34
Geometry 5 2.1 42
Statistics 3 1.7 56
Total 40 18.3 46
Problem solving 13 6.3 48
No. Answer ReferenceHodder Scale ofdemand
30 number with one decimal place
nearest whole number
35.8 3639.5–40.4
Accept any number within this range
inclusive
40
fracfrac
low 4low 4
31 100 frac mid 4
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puma Answers and mark scheme: 5 PUMA Spring
No. Answer ReferenceHodder Scale ofdemand
1 120° geom mid 3
2 4 num, PS high 3
3 37001000
opsops
mid 3mid 3
4 24 and 36Both required and no others for the mark
frac mid 3
5 24 hundreds240 tensBoth required and no others for the mark
num high 3
6 40005000Both required
ops, PS low 4
7 Any two of 54
83
52
ticked frac mid 3
8 (a) 2 009 909(b) 290 099
numnum
low 3high 3
9 acute angle obtuse angle
d c e
All three required
geom mid 3
10 18cm2 meas mid 3
11 362 ops low 4
12 427 bees ops, PS low 4
13 3800 num, PS mid 3
14 Arrow drawn at −8°C num high 3
15 12 ops, PS high 3
16 2508 ops high 3
17 406 500 num high 3
18 9 5 1
− 6 6 4
2 8 7
Allow carrying � gures in the answer boxes provided they are clearly carrying � gures, i.e. do not accept 11 in the top box
ops, PSops, PS
mid 4high 4
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No. Answer ReferenceHodder Scale ofdemand
19 1.1m meas low 4
20 <><All three correct for 2 marks or any two correct for 1 mark
opsops
low 4mid 4
21 (a) £13.50(b) 4:05pm Do not accept 4:5
meas, PSmeas, PS
mid 3mid 4
22 52345
fracfrac
mid 4high 4
23 3 537 000577 300Both required
num mid 3
24 80% frac low 4
25 106 ops high 4
26 43° geom mid 4
27 410 + 4
100 44100
4401000
All three correct and no others ticked for 2 marksAny two correct (and up to one wrong) for 1 mark
fracfrac
high 3low 5
28 2.53.1Both required
frac high 4
29 (a) 8 355 000(b) 6 035 350
numnum
low 4high 4
30 10p frac, PS high 4
31 true for all rectangles
only true for squares
not true for any rectangles
all sides are the same length
✓
angles add up to 180° ✓
diagonals cross at right angles
✓
All three correct for 2 marks or any two correct for 1 mark
geom, PSgeom, PS
low 4mid 5
32 405Do not accept 4 5 without the zero place holder
ops high 4
33 (a) 43mph or 44mph (b) 48km/h
statstat
low 5high 5
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No. Answer ReferenceHodder Scale ofdemand
34 32.55 frac high 4
35 (a) 36cm2
(b) 6cmAccept the square root of the answer to (a)
measmeas, PS
mid 4high 5
36 (7,1) geom, PS mid 5
37 4.06, 4.45, 4.5, 4.56, 4.6 frac low 5
38 (a) 26 mins(b) 11:23
stat, PSstat, PS
high 4low 5
PUMA 5 Spring: Analysis of performance by category
CategoryNumber of marks
availableNational average
markNational %
Number 10 5.6 56
Operations 13 5.7 44
Fractions 11 4.4 40
Measures 6 2.6 43
Geometry 6 2.4 41
Statistics 4 1.1 27
Total 50 21.7 44
Problem solving 16 6.0 38
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puma Answers and mark scheme: PUMA 6 Spring
No. Answer ReferenceHodder Scale of demand
1 63 710 ops mid 3
2 12
14
110
15
25% 50% 20% 10%
frac low 3
3 25 000 num mid 3
4 72 000 ops mid 3
5 17 frac, PS high 3
6 2.7, 3.2, 4.1All three required and no others for the mark frac, PS mid 4
7 5 faces, 5 vertices, 8 edgesAll three required geom mid 4
8 349 num, PS mid 4
9 72, 4.5, 2.25 or equivalentsAll three correct for 2 marks or any two correct for 1 mark
numnum
high 3low 4
10 Kite geom mid 4
11 13 frac low 4
12 520 350 num low 4
13 7 x 7 ops mid 3
14 2, 4, 8All three required and no others for the mark ops low 4
15 3751+ 45231 mark for the top row and 1 mark for the second row
ops, PSops, PS
high 3low 4
16 4cm26cm
meas, PSmeas, PS
high 4mid 5
17 250 × 100, 2500 × 10 Both required num high 3
18 (a) 15(b) 20
fracfrac
low 4low 4
19 8 reams ops, PS mid 4
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No. Answer ReferenceHodder Scale of demand
20 A, CBoth required geom, PS mid 4
21 £300 000£256 000£299 999All three required and no others for the mark
num low 4
22 2.4 frac low 4
23 (a) 13 800 vouchers(b) 6200 vouchersAward the mark if answers to (a) and (b) sum to 20 000
ops, PSops, PS
low 4high 4
24 (a) 700g(b) 60p
frac, PSfrac, PS
mid 4low 5
25 2157
opsops
low 4high 5
26 £63.25 frac mid 5
27 (–6,2) geom mid 4
28 (a) 2.175 litres Do not accept 2 litres 175 ml or 2175ml(b) 5 glasses
meas, PSmeas, PS
high 5mid 5
29 6kg frac, PS high 5
30 (a) £6(b) £4.50
statstat, PS
low 5high 5
31 9 litres frac, PS high 5
32 a = 42°b = 21°
geomgeom, PS
mid 46
33 300cm3 meas 6
34 (a) 25%(b) £15
statstat, PS
low 4low 5
35 58 frac 6
36 (a) 25 squares(b) 24(c) s = 4n + 1Accept 4 × n + 1 or 1 + 4 × n Do not accept words
opsops, PSops
low 566
37 9cm meas 6
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PUMA 6 Spring: Analysis of performance by category
CategoryNumber of marks
availableNational average
markNational %
Number 7 5.1 72
Operations 14 8.2 59
Fractions 13 7.2 55
Measures 6 1.8 31
Geometry 6 3.2 54
Statistics 4 1.8 46
Total 50 27.3 55
Problem solving 21 10.0 47
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puma
PUMA raw score
Mathematics age PUMA raw
scorePUMA 3 Spring
PUMA 4 Spring
PUMA 5 Spring
PUMA 6 Spring
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10
11 11
12 12
13 13
14 <8.7 <9:6 14
15 <7.7 8.7 9:6 15
16 7.7 8.8 9:7 16
17 7.9 8.9 9:8 17
18 7.10 8.11 9:9 18
19 8:0 9:0 9:10 19
20 8.2 9.2 9:11 20
21 8.4 9.3 10:0 21
22 8.5 9.5 10:1 <10:1 22
23 8.7 9.6 10:3 10:1 23
24 8.9 9.8 10:4 10:3 24
25 8.10 9.9 10:5 10:5 25
26 9.0 9:11 10:6 10:7 26
27 9.2 10.1 10:7 10:9 27
28 9.3 10.2 10:8 10:11 28
29 9.5 10.4 10:9 11:2 29
30 9:7 10.5 10:10 11:4 30
31 >9:7 10.7 10:11 11:6 31
32 >10.7 11:0 11:8 32
33 11:2 11:11 33
34 11:3 12:1 34
Mathematics ages for Spring
Obtaining and interpreting test scores
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PUMA raw score
Mathematics age PUMA raw
scorePUMA 3 Spring
PUMA 4 Spring
PUMA 5 Spring
PUMA 6 Spring
35 11:4 12:3 35
36 11:5 12:5 36
37 11:6 12:7 37
38 11:7 <12:7 38
39 >11:7 39
40 40
41 41
42 42
43 43
44 44
45 45
46 46
47 47
48 48
49 49
50 50
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Hodder Scale
PUMA raw score LA points score
Hodder ScalePUMA 3
SpringPUMA 4 Spring
0.9 0.9
1.0 5 8 1.0
1.1 5 8 1.1
1.2 5 8 1.2
1.3 6 9 1.3
1.4 6 9 1.4
1.5 6 10 1.5
1.6 6 <3 10 1.6
1.7 7 3 11 1.7
1.8 7 3 11 1.8
1.9 8 3 12 1.9
2.0 9 4 13 2.0
2.1 9 5 13 2.1
2.2 10 6 14 2.2
2.3 11 7 15 2.3
2.4 12 7 15 2.4
2.5 13 8 16 2.5
2.6 14 8 16 2.6
2.7 15–16 9 17 2.7
2.8 17–18 10 17 2.8
2.9 19–20 11 18 2.9
3.0 21 12–13 19 3.0
3.1 22–23 14 19 3.1
3.2 24 15 20 3.2
3.3 25 16 21 3.3
3.4 26 17–18 21 3.4
3.5 27 19–20 22 3.5
3.6 28 21 22 3.6
3.7 29–30 22 23 3.7
3.8 31–32 23 23 3.8
3.9 33–34 24 24 3.9
4.0 35 25 25 4.0
4.1 36 26 25 4.1
4.2 36 27 26 4.2
4.3 37 28–29 27 4.3
4.4 38 30 27 4.4
4.5 39 31 28 4.5
4.6 40 32 28 4.6
Relating PUMA raw scores to different scales
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Note: Where a pupil’s raw score links to more than one point on the Hodder Scale or LA points score, the highest point on the scale should be awarded. Although this sets a higher expectation for the pupil to achieve on the next test, this will ensure that the pupil has a challenging target to aim for.
Hodder Scale
PUMA raw score LA points score
Hodder ScalePUMA 3
SpringPUMA 4 Spring
4.7 33 29 4.7
4.8 34 29 4.8
4.9 35 30 4.9
5.0 36–37 31 5.0
5.1 38–39 31 5.1
5.2 40 32 5.2
5.3 33 5.3
5.4 33 5.4
5.5 34 5.5
5.6 34 5.6
5.7 35 5.7
5.8 35 5.8
5.9 36 5.9
6.0 37 6.0
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Hodder Scale
PUMA raw score LA points score
Hodder ScalePUMA 5
SpringPUMA 6 Spring
1.0 8 1.0
1.1 8 1.1
1.2 8 1.2
1.3 9 1.3
1.4 9 1.4
1.5 10 1.5
1.6 10 1.6
1.7 11 1.7
1.8 11 1.8
1.9 <6 12 1.9
2.0 6 13 2.0
2.1 6 13 2.1
2.2 6 <4 14 2.2
2.3 7 4 15 2.3
2.4 7 4 15 2.4
2.5 8 4 16 2.5
2.6 8 4 16 2.6
2.7 9 5 17 2.7
2.8 9 6 17 2.8
2.9 10 7 18 2.9
3.0 11 8 19 3.0
3.1 12 9 19 3.1
3.2 12 10 20 3.2
3.3 13 11–12 21 3.3
3.4 14 13–14 21 3.4
3.5 15 15 22 3.5
3.6 16 16 22 3.6
3.7 17 17 23 3.7
3.8 18 18 23 3.8
3.9 19 19 24 3.9
4.0 20–21 20–21 25 4.0
4.1 22–23 22–23 25 4.1
4.2 24–25 24–25 26 4.2
4.3 26–27 26–27 27 4.3
4.4 28–29 28 27 4.4
4.5 30–31 29 28 4.5
4.6 32–33 30 28 4.6
4.7 34 31 29 4.7
4.8 35 32 29 4.8
4.9 36 33 30 4.9
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Hodder Scale
PUMA raw score LA points score
Hodder ScalePUMA 5
SpringPUMA 6 Spring
5.0 37 34 31 5.0
5.1 38 35–36 31 5.1
5.2 39 37–38 32 5.2
5.3 40 39 33 5.3
5.4 41 40 33 5.4
5.5 42–43 41 34 5.5
5.6 44–45 42 34 5.6
5.7 46–47 43 35 5.7
5.8 48–49 44 35 5.8
5.9 50 45 36 5.9
6.0 46–50 37 6.0
37 6.1
38 6.2
39 6.3
Note: Where a pupil’s raw score links to more than one point on the Hodder Scale or LA points score, the highest point on the scale should be awarded. Although this sets a higher expectation for the pupil to achieve on the next test, this will ensure that the pupil has a challenging target to aim for.
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Ag
e in
yea
rs a
nd
com
ple
ted
mon
ths
Raw
sc
ore
7:7
7:8
7:9
7:10
7:11
8:0
8:1
8:2
8:3
8:4
8:5
8:6
8:7
8:8
8:9
8:10
8:11
9:0
9:1
9:2
9:3
9:4
9:5
9:6
9:7
Raw
sc
ore
170
1
273
7170
Awar
d <6
9 fo
r al
l sco
res
in th
is a
rea
2
376
7473
713
478
7775
7472
704
581
7978
7675
7372
705
683
8280
7977
7674
7371
706
785
8482
8180
7877
7574
7271
7
887
8684
8382
8179
7876
7573
7270
8
989
8786
8584
8381
8079
7776
7473
7170
9
1090
8988
8786
8583
8281
8078
7775
7472
7169
10
1192
9190
8988
8685
8483
8280
7978
7675
7372
7111
1294
9391
9089
8887
8685
8482
8180
7977
7674
7372
7012
1395
9493
9291
9089
8887
8584
8382
8179
7877
7574
7371
7013
1497
9695
9493
9291
9088
8786
8584
8382
8079
7876
7574
7271
6914
1599
9897
9695
9492
9190
8988
8786
8583
8281
8078
7776
7573
7270
15
1610
099
9998
9695
9493
9291
9089
8886
8584
8382
8179
7877
7574
7316
1710
210
110
099
9897
9695
9493
9290
8988
8786
8584
8281
8079
7876
7517
1810
310
310
210
110
099
9897
9695
9392
9190
8988
8785
8483
8281
8078
7718
1910
510
410
310
210
110
010
099
9796
9594
9392
9190
8887
8685
8483
8280
7919
2010
710
610
510
410
310
210
110
099
9897
9695
9492
9190
8988
8786
8583
8281
20
2110
810
710
610
610
510
410
310
210
110
099
9897
9594
9392
9190
8987
8685
8483
21
2210
910
910
810
710
610
610
410
310
310
210
110
099
9796
9594
9392
9089
8887
8685
22
2311
111
010
910
910
810
710
610
510
410
310
210
110
099
9897
9695
9392
9190
8988
8723
PUM
A 3
Sprin
g: A
ge-s
tand
ardi
sed
scor
es
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Ag
e in
yea
rs a
nd
com
ple
ted
mon
ths
Raw
sc
ore
7:7
7:8
7:9
7:10
7:11
8:0
8:1
8:2
8:3
8:4
8:5
8:6
8:7
8:8
8:9
8:10
8:11
9:0
9:1
9:2
9:3
9:4
9:5
9:6
9:7
Raw
sc
ore
2411
211
211
111
010
910
810
810
710
610
510
410
310
210
110
099
9896
9594
9392
9190
8824
2511
411
311
211
211
111
010
910
810
810
710
610
510
410
310
210
110
099
9796
9594
9291
9025
2611
511
511
411
311
211
211
111
010
910
810
810
710
610
510
310
210
210
099
9897
9695
9392
26
2711
811
711
611
511
411
311
311
211
111
010
910
810
710
710
610
410
310
210
110
099
9896
9594
27
2812
011
911
811
711
611
511
411
411
311
211
111
010
910
810
710
610
510
410
310
210
110
099
9796
28
2912
112
112
011
911
811
711
611
511
411
411
311
211
111
010
910
810
710
610
510
410
310
210
099
9829
3012
312
312
212
112
012
011
911
811
711
611
511
411
311
211
111
010
910
810
710
610
510
310
210
110
030
3112
512
512
412
312
212
212
112
011
911
811
711
611
511
411
311
211
111
010
910
810
710
610
510
310
231
3212
812
712
612
512
512
412
312
212
112
112
011
911
711
611
511
411
311
211
111
010
910
810
710
610
432
3313
012
912
912
812
712
612
512
412
412
312
212
112
011
911
811
711
511
411
311
211
111
010
910
810
733
3413
013
012
912
812
712
612
512
412
412
312
212
112
011
811
711
611
511
311
211
111
010
934
3513
012
912
812
712
612
512
412
312
212
112
011
911
811
611
511
411
211
135
3613
013
012
912
812
612
512
412
312
212
112
011
811
711
511
436
37Aw
ard
>130
for
all s
core
s in
th
is a
re
130
129
128
127
125
124
123
122
120
119
117
37
3813
012
912
812
712
512
412
312
138
3913
012
812
712
539
4013
040
7:7
7:8
7:9
7:10
7:11
8:0
8:1
8:2
8:3
8:4
8:5
8:6
8:7
8:8
8:9
8:10
8:11
9:0
9:1
9:2
9:3
9:4
9:5
9:6
9:7
806254_PUMa Manual Stage 2_Special Proof.indd 24 06/02/15 7:49 pm
Copyright ©2015 Hodder & Stoughton Ltd 25
Ag
e in
yea
rs a
nd
com
ple
ted
mon
ths
Raw
sc
ore
8:7
8:8
8:9
8:10
8:11
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
Raw
sc
ore
11
272
692
377
7572
Awar
d <6
9 fo
r al
l sco
res
in
this
are
a
3
481
7876
7471
4
583
8180
7876
7371
5
685
8382
8179
7775
7371
6
787
8584
8382
8079
7775
7371
7
889
8786
8584
8281
8078
7674
7270
8
990
8988
8785
8483
8281
7978
7674
7270
9
1092
9190
8887
8685
8483
8280
7977
7674
7270
10
1194
9391
9089
8887
8584
8382
8180
7877
7573
7270
11
1295
9493
9291
9088
8786
8584
8382
8179
7876
7573
7170
12
1397
9695
9493
9190
8988
8786
8483
8281
8079
7776
7473
7170
13
1498
9796
9594
9392
9190
8887
8685
8483
8281
8078
7776
7472
7169
14
1599
9898
9796
9594
9291
9089
8887
8685
8483
8281
7978
7775
7472
15
1610
110
099
9897
9695
9493
9291
9088
8786
8584
8382
8180
7978
7675
16
1710
210
110
099
9998
9796
9594
9291
9089
8887
8685
8483
8281
8078
7717
1810
310
210
110
110
099
9897
9695
9493
9291
9088
8786
8584
8382
8281
7918
1910
410
410
310
210
110
010
099
9897
9695
9492
9190
8988
8786
8584
8382
8119
2010
610
510
410
310
210
210
110
099
9897
9695
9493
9291
9088
8786
8584
8383
20
2110
710
610
510
510
410
310
210
110
010
099
9897
9695
9392
9190
8988
8786
8584
21
2210
810
810
710
610
510
410
310
310
210
110
099
9897
9695
9493
9291
9088
8786
8522
PUM
A 4
Sprin
g: A
ge-s
tand
ardi
sed
scor
es
806254_PUMa Manual Stage 2_Special Proof.indd 25 06/02/15 7:49 pm
Copyright ©2015 Hodder & Stoughton Ltd26
Ag
e in
yea
rs a
nd
com
ple
ted
mon
ths
Raw
sc
ore
8:7
8:8
8:9
8:10
8:11
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
Raw
sc
ore
2311
010
910
810
810
710
610
510
410
310
210
110
110
099
9897
9695
9392
9190
8988
8723
2411
111
011
010
910
810
710
610
510
510
410
310
210
110
099
9897
9695
9493
9291
8988
24
2511
311
211
111
011
010
910
810
710
610
510
410
310
210
110
110
099
9897
9694
9392
9190
25
2611
411
311
311
211
111
011
010
910
810
710
610
510
410
310
210
110
099
9897
9695
9493
9226
2711
611
511
411
411
311
211
111
010
910
910
810
710
610
510
410
310
210
110
099
9897
9694
9327
2811
711
711
611
511
511
411
311
211
111
010
910
810
710
610
510
410
310
210
110
099
9897
9695
28
2911
811
811
711
711
611
611
511
411
311
211
111
010
910
810
710
610
510
410
310
210
110
099
9897
29
3012
011
911
911
811
811
711
611
611
511
411
311
211
111
010
910
810
710
610
510
310
210
110
099
9830
3112
212
112
112
011
911
911
811
711
711
611
511
411
311
211
111
010
910
810
710
510
410
310
210
110
031
3212
412
312
312
212
112
012
011
911
811
811
711
611
511
411
311
211
111
010
910
810
610
510
410
310
132
3312
612
512
512
412
312
312
212
112
011
911
911
811
711
711
611
511
311
211
111
010
910
710
610
510
333
3412
812
812
712
612
612
512
412
412
312
212
112
011
911
911
811
711
611
511
311
211
111
010
810
710
534
3513
013
012
912
912
812
712
612
512
512
412
312
212
112
011
911
811
711
611
511
411
211
110
910
835
3613
113
013
012
912
812
712
612
512
412
312
212
112
011
911
811
711
611
411
211
136
3713
113
012
912
812
712
612
512
412
212
112
011
811
711
611
437
38Aw
ard
>131
for
all s
core
s in
th
is a
rea
131
130
128
127
126
124
123
121
119
118
38
3913
012
912
712
512
339
4040
8:7
8:8
8:9
8:10
8:11
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
806254_PUMa Manual Stage 2_Special Proof.indd 26 06/02/15 7:49 pm
Copyright ©2015 Hodder & Stoughton Ltd 27
PUM
A 5
Sprin
g: A
ge-s
tand
ardi
sed
scor
es
Ag
e in
yea
rs a
nd
com
ple
ted
mon
ths
Raw
sc
ore
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
10:1
010
:11
11:0
11:1
11:2
11:3
11:4
11:5
11:6
11:7
Raw
sc
ore
11
273
702
377
7572
69Aw
ard
<69
for
all s
core
s in
this
are
a3
480
7876
7471
4
583
8179
7775
7370
5
686
8482
8078
7674
7270
6
788
8785
8381
7977
7673
7169
7
890
8887
8583
8179
7876
7573
718
992
9089
8786
8482
8078
7776
7472
709
1093
9290
8988
8684
8281
7978
7675
7371
7010
1195
9392
9089
8886
8583
8180
7877
7674
7271
6911
1296
9593
9291
8988
8785
8382
8079
7876
7574
7270
12
1398
9695
9392
9190
8887
8684
8281
7978
7776
7473
7170
13
1499
9897
9594
9291
9089
8886
8483
8180
7977
7675
7472
7170
14
1510
099
9897
9594
9391
9089
8886
8583
8280
7978
7776
7573
7271
6915
1610
110
099
9897
9594
9391
9089
8887
8584
8281
8078
7776
7574
7371
7016
1710
210
110
099
9897
9694
9392
9089
8887
8684
8381
8079
7877
7675
7472
17
1810
310
210
110
099
9897
9694
9392
9189
8887
8684
8382
8079
7877
7676
7418
1910
410
310
210
110
099
9897
9694
9392
9190
8988
8685
8382
8180
7978
7776
19
2010
510
410
310
210
110
099
9897
9694
9392
9190
8988
8785
8483
8180
7978
7720
2110
610
510
410
310
210
110
099
9997
9695
9392
9190
8988
8785
8483
8281
8079
21
2210
710
610
510
410
310
210
110
010
099
9896
9594
9291
9089
8887
8685
8382
8180
22
2310
810
710
610
510
410
310
210
110
110
099
9896
9594
9391
9089
8887
8685
8482
8123
2410
910
810
710
610
510
410
310
210
210
110
099
9897
9594
9392
9089
8888
8685
8483
24
2511
111
010
810
710
710
610
510
410
310
210
110
099
9897
9594
9392
9190
8988
8785
8425
806254_PUMa Manual Stage 2_Special Proof.indd 27 06/02/15 7:49 pm
Copyright ©2015 Hodder & Stoughton Ltd28
Ag
e in
yea
rs a
nd
com
ple
ted
mon
ths
Raw
sc
ore
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
10:1
010
:11
11:0
11:1
11:2
11:3
11:4
11:5
11:6
11:7
Raw
sc
ore
2611
211
111
010
910
810
710
610
510
410
310
210
110
099
9897
9594
9392
9190
8988
8786
26
2711
311
211
111
010
910
810
710
610
510
410
310
210
110
099
9897
9694
9392
9190
8988
8727
2811
411
311
211
111
010
910
810
710
610
510
410
310
210
110
099
9897
9694
9392
9190
8988
28
2911
511
411
311
211
211
110
910
810
710
610
510
410
310
210
110
099
9897
9694
9392
9190
8929
3011
711
611
511
411
311
211
111
010
810
710
610
510
410
310
210
110
099
9897
9695
9392
9190
30
3111
811
711
611
511
411
311
211
111
010
910
810
610
510
410
310
210
110
099
9897
9695
9493
9231
3212
011
911
811
711
611
411
311
211
111
010
910
810
710
610
410
310
210
110
099
9997
9695
9493
32
3312
212
011
911
811
711
611
511
411
311
211
110
910
810
710
610
510
310
210
110
110
099
9896
9594
33
3412
412
312
112
011
911
811
611
511
411
311
211
111
010
810
710
610
510
410
310
210
110
099
9896
9534
3512
612
512
312
212
011
911
811
711
611
511
311
211
111
010
810
710
610
510
410
310
210
110
099
9897
35
3612
812
712
612
412
312
112
011
811
711
611
511
411
211
111
010
910
710
610
510
410
310
210
110
099
9836
3713
012
812
712
512
412
212
111
911
811
711
511
411
311
211
010
910
810
610
510
410
310
210
110
099
37
3813
112
912
812
612
512
312
212
011
811
711
611
511
311
211
110
910
810
710
510
410
310
210
110
038
3912
912
812
612
412
312
111
911
811
611
511
411
211
111
010
810
710
610
410
310
210
139
4013
012
912
712
512
412
212
011
811
711
611
411
311
111
010
810
710
610
510
310
240
4113
012
912
712
512
312
111
911
811
611
511
311
211
010
910
710
610
510
341
4213
012
812
612
412
212
011
811
711
511
411
211
110
910
710
610
542
4313
012
812
612
412
111
911
811
611
411
211
111
010
810
643
44
Awar
d >1
31 fo
r al
l sco
res
in th
is a
rea
129
127
125
123
120
118
117
115
113
111
110
108
44
4512
912
712
412
211
911
711
511
411
211
045
4612
912
612
312
011
811
611
411
246
4713
112
812
512
211
911
711
547
4813
012
712
412
111
848
4913
012
712
349
5013
050
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
10:1
010
:11
11:0
11:1
11:2
11:3
11:4
11:5
11:6
11:7
806254_PUMa Manual Stage 2_Special Proof.indd 28 06/02/15 7:49 pm
Copyright ©2015 Hodder & Stoughton Ltd 29
PUM
A 6
Sprin
g: A
ge-s
tand
ardi
sed
scor
es
Ag
e in
yea
rs a
nd
com
ple
ted
mon
ths
Raw
sc
ore
10:4
10:5
10:6
10:7
10:8
10:9
10:1
010
:11
11:0
11:1
11:2
11:3
11:4
11:5
11:6
11:7
11:8
11:9
11:1
011
:11
12:0
12:1
12:2
12:3
12:4
12:5
12:6
Raw
sc
ore
11
272
Awar
d <7
0 fo
r al
l sco
res
in th
is a
rea
2
375
723
476
7571
4
578
7675
715
679
7876
7471
6
781
7978
7674
717
882
8179
7876
7470
8
983
8281
8078
7674
709
1085
8482
8180
7876
7470
10
1186
8584
8381
8078
7674
11
1287
8685
8483
8180
7876
7412
1388
8786
8584
8382
8078
7673
13
1489
8888
8786
8583
8280
7877
7314
1591
9089
8887
8685
8482
8079
7773
15
1692
9190
8988
8786
8584
8281
7977
7216
1794
9392
9190
8988
8786
8483
8179
7772
17
1895
9493
9392
9089
8887
8685
8381
7977
7218
1996
9595
9493
9291
9089
8786
8583
8179
7771
19
2097
9696
9594
9493
9290
8988
8785
8482
7977
7120
2198
9797
9696
9594
9392
9190
8887
8684
8280
7770
21
2299
9898
9797
9696
9594
9392
9089
8886
8582
8077
22
2399
9999
9898
9797
9695
9594
9391
9088
8785
8380
7723
2410
010
099
9999
9898
9797
9695
9493
9290
8987
8683
8077
24
2510
010
010
010
099
9999
9898
9797
9695
9493
9189
8886
8481
7725
806254_PUMa Manual Stage 2_Special Proof.indd 29 06/02/15 7:49 pm
Copyright ©2015 Hodder & Stoughton Ltd30
Ag
e in
yea
rs a
nd
com
ple
ted
mon
ths
Raw
sc
ore
10:4
10:5
10:6
10:7
10:8
10:9
10:1
010
:11
11:0
11:1
11:2
11:3
11:4
11:5
11:6
11:7
11:8
11:9
11:1
011
:11
12:0
12:1
12:2
12:3
12:4
12:5
12:6
Raw
sc
ore
2610
110
110
110
010
010
099
9999
9898
9796
9695
9392
9089
8785
8177
26
2710
210
210
110
110
110
010
010
099
9999
9898
9796
9594
9391
8987
8582
7727
2810
310
210
210
210
110
110
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9898
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28
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310
310
210
210
110
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410
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310
310
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110
110
110
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9999
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9088
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30
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310
310
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110
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110
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9998
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043
44
130
127
125
123
122
121
120
119
118
117
116
116
115
114
113
112
44
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ard
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for
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core
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10:4
10:5
10:6
10:7
10:8
10:9
10:1
010
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11:0
11:1
11:2
11:3
11:4
11:5
11:6
11:7
11:8
11:9
11:1
011
:11
12:0
12:1
12:2
12:3
12:4
12:5
12:6
806254_PUMa Manual Stage 2_Special Proof.indd 30 06/02/15 7:49 pm