Progress in Understanding Mathematics Assessment · PDF fileProgress in Understanding Mathematics Assessment Colin McCarty puma Caroline Cooke Interim Spring Manual Stage 2 Years 3–6

Progress in Understanding Mathematics Assessment

pumaColin McCartyCaroline Cooke

Interim Spring ManualStage 2

Years3–6

806254_PUMa Manual Stage 2_Special Proof.indd 1 06/02/15 7:49 pm

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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



Copyright ©2015 Hodder & Stoughton Ltd 5

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].


Copyright ©2015 Hodder & Stoughton Ltd6

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



PUMA 3 Spring: Analysis of performance by category


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





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




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






markNational %

Number 8 5.3 68


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



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



puma Answers and mark scheme: 5 PUMA Spring


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




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




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




markNational %

Number 10 5.6 56


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





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



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






markNational %

Number 7 5.1 72


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




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



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



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



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


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



Hodder Scale


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



Hodder Scale


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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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

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4

583

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7876

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5

685

8382

8179

7775

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6

787

8584

8382

8079

7775

7371

7

889

8786

8584

8281

8078

7674

7270

8

990

8988

8785

8483

8281

7978

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7270

9

1092

9190

8887

8685

8483

8280

7977

7674

7270

10

1194

9391

9089

8887

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8180

7877

7573

7270

11

1295

9493

9291

9088

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7876

7573

7170

12

1397

9695

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9190

8988

8786

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8281

8079

7776

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13

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9796

9594

9392

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8887

8685

8483

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7776

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7169

14

1599

9898

9796

9594

9291

9089

8887

8685

8483

8281

7978

7775

7472

15

1610

110

099

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9088

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8382

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7978

7675

16

1710

210

110

099

9998

9796

9594

9291

9089

8887

8685

8483

8281

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7717

1810

310

210

110

110

099

9897

9695

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9291

9088

8786

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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



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



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

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7876

7573

718

992

9089

8786

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8078

7776

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709

1093

9290

8988

8684

8281

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7675

7371

7010

1195

9392

9089

8886

8583

8180

7877

7674

7271

6911

1296

9593

9291

8988

8785

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8079

7876

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12

1398

9695

9392

9190

8887

8684

8281

7978

7776

7473

7170

13

1499

9897

9594

9291

9089

8886

8483

8180

7977

7675

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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

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7776

7574

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7016

1710

210

110

099

9897

9694

9392

9089

8887

8684

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8079

7877

7675

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17

1810

310

210

110

099

9897

9694

9392

9189

8887

8684

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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



Ag

e in

yea

rs a

nd

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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

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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

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512

312

212

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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



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

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715

679

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6

781

7978

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717

882

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8

983

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709

1085

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7876

7470

10

1186

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11

1287

8685

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1388

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13

1489

8888

8786

8583

8280

7877

7314

1591

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15

1692

9190

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8281

7977

7216

1794

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7772

17

1895

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9089

8887

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7977

7218

1996

9595

9493

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19

2097

9696

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8988

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7977

7120

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9797

9696

9594

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8887

8684

8280

7770

21

2299

9898

9797

9696

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9089

8886

8582

8077

22

2399

9999

9898

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9695

9594

9391

9088

8785

8380

7723

2410

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099

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9898

9797

9695

9493

9290

8987

8683

8077

24

2510

010

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010

099

9999

9898

9797

9695

9493

9189

8886

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7725



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

110

010

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099

9999

9898

9796

9594

9290

8886

8377

28

2910

410

410

310

310

210

210

110

110

110

010

010

099

9999

9898

9796

9593

9289

8784

7729

3010

610

510

410

410

310

310

210

210

210

110

110

110

010

099

9999

9898

9796

9493

9088

8577

30

3110

710

710

610

510

510

410

410

310

310

210

210

110

110

110

010

010

099

9998

9797

9594

9289

8631

3210

910

810

810

710

610

610

510

410

410

310

310

210

210

110

110

110

010

010

099

9998

9796

9593

9032

3311

111

010

910

910

810

710

710

610

510

510

410

410

310

310

210

210

110

110

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099

9998

9796

9533

3411

311

211

111

011

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910

810

810

710

610

610

510

410

410

310

310

210

210

110

110

110

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099

9998

9734

3511

611

411

311

211

211

111

010

910

910

810

810

710

610

510

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410

410

310

210

210

210

110

110

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099

9935

3611

811

711

611

511

411

311

211

111

111

010

910

910

810

710

610

610

510

410

410

310

310

210

210

110

110

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036

3712

111

911

811

711

611

511

411

311

211

211

111

011

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910

810

810

710

610

510

510

410

410

310

210

210

110

137

3812

512

312

112

011

911

811

711

611

511

411

311

211

111

111

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910

910

810

710

710

610

510

410

410

310

310

238

3912

912

512

312

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811

711

611

511

411

311

311

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011

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910

810

810

710

610

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510

410

439

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912

612

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811

711

711

611

511

411

311

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111

111

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910

910

810

710

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610

540

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612

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511

411

311

311

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011

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910

810

810

741

4213

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712

412

312

112

011

911

811

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611

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511

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311

211

211

111

010

910

942

4313

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811

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511

411

311

311

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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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812

512

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911

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445

46Aw

ard

>131

for

all s

core

s in

this

are

a13

112

812

512

412

312

112

011

911

911

811

711

646

4712

812

612

412

312

212

112

011

911

847

4812

812

612

412

312

212

112

048

4912

912

612

412

312

249

5012

912

712

550

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


Documents

Progress in Understanding Mathematics Assessment · PDF fileProgress in Understanding Mathematics Assessment Colin McCarty puma Caroline Cooke Interim Spring Manual Stage 2 Years 3–6