maths stage 5 ms 5rp - ep.acsp.ac.th

Mathematics

Stage 5

DC (RW/JG) 93922/5RP© UCLES 2014

Cambridge Primary Progression TestMark scheme

2

M/S5/MS© UCLES 2014

These tables give general guidelines on marking answers that involve number and place value, and units of length, mass, money, duration or time. If the mark scheme does not specify the correct answer, refer to these general guidelines.

Number and Place value

The table shows various general rules in terms of acceptable decimal answers.

Accept

Accept omission of leading zero if answer is clearly shown, e.g..675

Accept tailing zeros, unless the question has asked for a specific number of decimal places, e.g.0.7000

Always accept appropriate tailing zeros, e.g.3.00 m; 5.000 kg

Accept a comma as a decimal point if that is the convention that you have taught the children, e.g.0,638

Units

For questions involving quantities, e.g. length, mass, money, duration or time, correct units must be given in the answer. The table shows acceptable and unacceptable versions of the answer 1.85 m.

Correct answer Also accept Do not accept

Units are not given on answer line and the question does not specify a unit for the answer

1.85 m Correct conversions provided the unit is stated, e.g.1 m 85 cm185 cm1850 mm0.00185 km

1.85

185 m

If the unit is given on the answer line, e.g............................ m

......1.85...... m Correct conversions, provided the unit is stated unambiguously,e.g. ....185 cm.... m

......185...... m

......1850...... metc.

If the question states the unit that the answer should be given in, e.g. ‘Give your answer in metres’

1.85 m 1.851 m 85 cm

185; 1850

Any conversions to other units, e.g.185 cm

3

M/S5/MS© UCLES 2014 [Turn over

Money

For questions involving money, it is essential that appropriate units are given in the answer.

The table shows acceptable and unacceptable versions.

Accept Do not accept

If the amount is in dollars and cents, the answer should be given to two decimal places.

$0.30

$9 or $9.00 $09 or $09.00

If units are not given on answer line

Any unambiguous indication of the correct amount, e.g.30 cents; 30 c$0.30; $0.30 c; $0.30 cents$0-30; $0=30; $00:30

30 or 0.30 without a unit

Incorrect or ambiguous answers, e.g.$0.3; $30; $30 cents; 0.30 cents

If $ is shown on the answer line $......0.30......$......0.30 cents......

Accept all unambiguous indications, as shown above

$......30......$......30 cents...... (this cannot be accepted because it is ambiguous, but if the dollar sign is deleted it becomes acceptable)

If cents is shown on the answer line

......30......cents

......$0.30 ......cents......0.30......cents......$30 ......cents

Duration

Accept any unambiguous method of showing duration and all reasonable abbreviations of hours (h, hr, hrs), minutes (m, min, mins) and seconds (s, sec, secs).


Any unambiguous indication using any reasonable abbreviations of hours (h, hr, hrs), minutes (m, min, mins) and seconds (s, sec, secs), e.g.2 hours 30 minutes; 2 h 30 m; 02 h 30 m5 min 24 sec; 00 h 05 m 24 s

Incorrect or ambiguous formats, e.g.

2.30; 2.3; 2.30 hours; 2.30 min; 2 h 3;2.3 h

Any correct conversion with appropriate units,e.g.2.5 hours; 150 mins324 seconds

2.5; 150324

Also accept unambiguous digital stopwatch format, e.g.02:30:0000.05:24; 05:24 s

Do not accept ambiguous indications, e.g.

02:305.24

4


Time

There are many ways to write times, in both numbers and words, and marks should be awarded for any unambiguous method. Accept time written in numbers or words unless there is a specific instruction in the question. Some examples are given in the table.


Any unambiguous indication of correct answer in numbers, words or a combination of the two, e.g. 07:30; 19:00

0730; 07 30; 07.30; 07,30; 07-30; 7.30; 730 a.m.; 7.30am; 7.30 in the morning

Half past seven (o’clock) in the morningThirty minutes past seven amAlso accept: O-seven-thirty

1900; 19 00; 19_00 etc.

Nineteen hundred (hours)Seven o’clock in the afternoon/evening

Accept correct conversion to 12-hour clock, e.g.16:424.42 p.m.

Sixteen forty twoFour-forty-two in the afternoon/eveningFour forty two p.m.Forty two (minutes) past four p.m.Eighteen (minutes) to five in the evening

Also accept a combination of numbers and words, e.g.18 minutes to 5 p.m.42 minutes past 4 in the afternoon

Incorrect or ambiguous formats, e.g.

07.3; 073; 07 3; 730; 73; 7.3; 7.3 am; 7.30 p.m.

19; 190; 19 000; 19.00 am; 7.00 am

4.42 am; 0442; 4.42

Forty two (minutes) past sixteenEighteen (minutes) to seventeen

5


Stage 5 Paper 1 Mark Scheme

Question 1

Part Mark Answer Further information

1 3570

and

4000

Total 1

Question 2


1 2.4 3.4 4.6 6.4 7.6 8.6

Total 1

Question 3


(a) 1 520

(b) 1 4700

Total 2

Question 4


(a) 1 2054

(b) 1 29217

Total 2

6


Question 5


24

7.4 5

6

5.55 7

8

8.09 9

Each correct line gets 1 mark

Total 2

Question 6


2 –13

107

Do not accept 13 –

Total 2

Question 7


1 E Accept any clear indication e.g. 90400 on answer line or E circled.

Total 1

7


Question 8


2x 3 6 8

4 12 24 32

6 18 36 48

9 27 54 72

Award 2 marks for all 5 correct answers.

Award 1 mark for 3 or more correct answers.

Total 2

Question 9


1 2027

Total 1

Question 10


1 A, B and D Award 1 mark for all 3 letters correct, in any order, with no others.

Total 1

Question 11


1 2L

1L

Accept slight inaccuracies of drawing the level.

Total 1

8


Question 12


1 Accept slight inaccuracies in drawing, provided the intention is clear.

Vertices must be within 2 mm of the correct grid points.

Total 1

Question 13


(a) 1 1876

(b) 1 176

Total 2

Question 14


2 108

34

82

0 4

2 marks for 3 correct answers.1 mark for 2 correct answers.

Total 2

Question 15


1 25 (sweets)

Total 1

9


Question 16


1 3 and 6

Total 1

Question 17


2 True/False

Triangles can have 2 acute angles.

True (T)

Triangles can have 2 obtuse angles.

False (F)

Triangles can have 2 perpendicular sides.

True (T)

Triangles can have 2 parallel sides.

False (F)

Award 2 marks for all 4 correct answers

Award 1 mark for 3 correct answers.

Total 2

Question 18


1

A

Accept slight inaccuracies in drawing, provided the intention is clear.

Vertices must be within 2 mm of the correct grid points for 1 mark.

Total 1

10


Question 19


(a) 1 Diagram completed as shown:

10

12

14

16

18

20

22

24

26

28

30

Tem

pera

ture

(°C

)

Time8 am 9 am 10 am 11 am 12 pm 1 pm 2 pm 3 pm7 am

Award 1 mark for (a) if points are plotted correctly or within 1 mm.Accept slight inaccuracies in drawing.Ignore graph extended earlier than 8am.

(b) 1 18(°C)

(c) 1 2 hours Accept 120 minutes.

Total 3

Question 20


(a) 1 75 (°) Accept +/- 2°

(b) 1 79 (mm) Accept +/- 2 mm

Please check the length of line on candidates’ printed question paper and adjust mark scheme accordingly.

Total 2

11


Question 21


(a) 1 81

(b) 1 25 and 64 Numbers can be given in either order. Condone 52 and 82, or 5×5 and 8×8

Total 2

Question 22


(a) 1 False

False

True

Award 1 mark if both statements are correct.

(b) 1 ‘No’ box ticked plus an explanation which recognises that the highest possible score on each spinner is 4 and that 4 + 4 = 8

Award 1 mark for any clear explanation even if the ‘no’ box is left unticked.

Total 2

Question 23


1 $80

Total 1

12


Question 24


2

2

3 6

5 4

1

2

4 6

5 3

1

Accept:

Award 1 mark for the digit 6 or 5 placed correctly.

Total 2

Question 25


(a) 1 512463

(b) 1 Award 1 mark for any four six digit odd numbers, ending with a 1 or 3 between 514263 and 564321 inclusive, made using the cards.

Total 2

13



Question 1


11

1

of 60

of 78

of 1351

2

3

5

25

26

27

28

29

30

Both answers needed for 1 mark.

Total 1

Question 2


1

3

4 = 2

6

Both the 2 and 6 are needed for 1 mark.

Total 1

Question 3


2 5.3 > 4.6 or 5.3 > 4.62.9 < 7.1 2.9 < 8.16.2 > 5.8 6.2 > 5.8 4.1 < 8.5 4.1 < 7.5

Award 2 marks for all four values correct as shown.

Award 1 mark for two or three values correct.

Total 2

14


Question 4


10 g

250 g750 g

500 g

Accept any unambiguous indication of the correct point on the scale, including an arrow not originating from the centre of the dial.

Total 1

Question 5


(a) 1 (August) 26th Accept the 26th

(b) 1 Sunday

Total 2

Question 6


1 410

Accept

Total 1

Question 7


(a) 1 225 (children) Accept +/- 2

(b) 1 20

Total 2

25

15


Question 8


1 93 (model aeroplanes)

Total 1

Question 9


1 Yes box ticked plus an explanation that states either:

any number ending with the digits00, 25, 50 or 75 is divisible by 25 and 375 ends with 75or375 ÷ 25 = 15or15 × 25 = 375or25, 50, 75, 100, 125 …..375

Accept any clear explanation even if :the box is left untickedorthe No is ticked.

Total 1

Question 10


(a) 1 39

(b) 1 34

Total 2

Question 11


2 Award 2 marks for all three boxes correct.

Award 1 mark for two boxes correct.

Total 2

16


Question 12


1 2 × 5 × 10 = 100 The three numbers 2, 5 and 10 can be in any order.

Total 1

Question 13


2 –15 and 40 Do not accept 15–.Award 1 mark for each correct answer.

Total 2

Question 14


2

48

18

26

36

56

multiples of 8multiples of 6

Award 2 marks for all five numbers correctly placed.

Award 1 mark for three or four numbers correctly placed.Do not accept a number placed in two different places.

Total 2

17


Question 15


108 : 55 11 : 45 18 : 55

20 : 55 23 : 45

�Total 1

Question 16


1 7:20(pm) Condone 19:20 or answer given in words.

Do not accept 07:20

Total 1

Question 17


1 8844 (km)

Total 1

Question 18


1 70 mm 0.3 m 40 cm 1 m 2Measurements must be in this order:

Accept measurements written using equivalent units.e.g. 7 cm, 30 cm, 40 cm, 50 cm

Total 1

18


Question 19


(a) 1 1 , 3 Do not accept (3,1)

(b) 1 Diagram completed as shown:

10987654321

0

A

1 2 3 4 5 6 7 8 9 10

y

x

A

Accept slight inaccuracies in drawing.

Total 2

Question 20


(a) 1 25 (%)

(b) 1 10 (more squares)

Total 2

Question 21


1 610

0.55 0.712

Accept equivalent fractions and decimals.

Total 1

19


Question 22


(a) 1 camera and ball Both presents must be correct. Accept incorrect spellings if intention is clear.

(b) 1 $12.80

Total 2

Question 23


2 63 × 54 or 3402 Award 2 marks for the correct answer

Award 1 mark for answer 53 × 64orCorrect product of 2 different numbers, using the 4 cardsE.g. 64 × 53 = 3392 (working must be seen)

Total 2

Question 24


(a) 1 10(cm)

(b) 1 16(cm) Follow through: accept an answer that is 6 more than their answer in (a)

Total 2

20


Question 25


(a) 1 10

(b) 1 396

Total 2

Question 26


2 3 3 3 3 and 2

or

3 3 3 1 and 4

Award 1 mark for evidence showing:

3 as the mode of the 5 cards

or

The sum of the five cards is 14

Total 2

21



Question Mark Answer

1 ½ 3/10 or three tenths

2 ½ 1(.0)

3 ½ 80 070

4 ½ 49

5 ½ 70 (%)

6 ½ 82

7 ½ 2 (°C)

8 ½ 270

9 ½

10 ½ 7500 (g)

11 ½ 66

12 ½ 180 (seconds)

13 ½ 10:08 08:10

22:08

18:10 20:10

14 ½ 3.4

15 ½ 115 (°)

16 ½ 42 (cm)

17 ½ 3215

18 ½ Cross drawn on scale greater than (not including) impossible but less than (including) not likely.

19 ½ 400

20 ½ ($) 10

22


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