YEAR 7 MATHEMATICS MARKING SCHEME

[Pages:4]DEPARTMENT FOR CURRICULUM, LIFELONG LEARNING AND EMPLOYABILITY Directorate for Learning and Assessment Programmes Educational Assessment Unit

Annual Examinations for Middle Schools 2019

Track 3

YEAR 7

Notes for Marking of Scripts

Types of Marks

MATHEMATICS

MARKING SCHEME

Method marks are awarded for knowing a correct method of solution and attempting to apply it. Method marks cannot be lost for arithmetic mistakes. They can only be awarded if the method used would have led to the correct answer had not an arithmetic mistake been made. Unless otherwise stated, any valid method not specified in the marking scheme is to be accepted and marked accordingly.

There are two types of Method marks: M marks and (M) marks. ? M marks are only awarded if method is seen. ? (M) marks are awarded even when a correct answer is given and no work is shown.

There are two types of Accuracy marks: A marks and B marks. ? A marks are accuracy marks given for correct answer only (c.a.o.).

Incorrect answers, even though nearly correct, score no marks. Accuracy marks are also awarded for incorrect answers which are correctly followed through

(f.t.) from an incorrect previous answer, provided that f.t. is indicated in the marking scheme. No Method marks M/(M) or Accuracy marks A are awarded when a wrong method leads to a

correct answer. When a question is assigned M and A marks and students present a correct answer without any

working, only A marks are awarded.

? B marks are accuracy marks awarded for specific results or statements independent of the method used.

Misreading Method marks can still be earned (unless that part of the question is trivialised) but the final Accuracy marks are lost.

Crossed out working An answer or working that is crossed out and not replaced is marked as if it were not crossed out. If the answer or working is replaced, then the crossed out answer or working is ignored and should not be considered for marking.

Units In general, missing or inaccurate units are not penalised unless otherwise indicated in the marking scheme.

Other Incorrect working or statement following a correct answer is ignored. Marks are not sub-divisible; no half marks may be awarded. Other abbreviations used:

? o.e. (or equivalent) ? e.e.o.o. (each error or omission) Markers are advised to indicate the M, (M), A or B marks awarded in the body of the script and then write their total in the margin. The total mark for each question should be written in the table included at the top of page 1 of the main paper. This measure facilitates the moderation of papers.

Mathematics ? Marking Scheme ? Year 7 ? Track 3 ? 2019

Page 1 of 4

Non Calculator Paper

Que.

Requirements

Mark

Additional Guidance

1 a) 21 , 31 , 41 , 51 , 91

B1 B1

b) The factors of 35 are 1, 5, 7 and 35 B1

c) 8 , 64

B1 B1

a) 8.167 2

b) 246

M1 A1 M1 A1

5 Accept 35 = 5 ? 7

c) 17.16

3 ? 9 = 27

d) 21 ? 3 = 7

27 + 7 = 34

3

72 ? 8 = 9 9 + 6 = 15

65 ? 3 = 195

475 ? 195 = 280

4

280 ? 2 = 140

= 1.40

M1 A1

9

M1

M1

A1

M1 M1 A1

3

M1

M1

M1

4

A1

5

a)

150 minutes = 60 + 60 + 30 150 minutes = 2 hours 30 minutes

M1 A1

b) 11:25 + 2:30 = 13:55

M1 A1

4 or 1:55 pm

TOTAL NON CALCULATOR PAPER: 25 MARKS

Main Paper

Que. 1

Requirements

Mark

Additional Guidance

B5

5 -1 e.e.o.o.

2 a) Segment BC correct Segment AB correct

Segment AC correct

b) 90? c) Area = (base ? height) ? 2

= (4.2 ? 5.6) ? 2 = 11.76 3 a) 244 ? 20 = 12 Rem 4

13 notes b) 183 ? 8 = 22 Rem 7

22

Page 2 of 4

B1 B1

B1

B1 (M)1 M1 A1 M1 A1 M1 A1

BC = 7 cm ( 1 mm) AB = 4.2 cm (arcs seen) ( 1 mm) 7 AC = 5.6 cm (arcs seen) ( 1 mm)

Accept 12.2 4 Accept 22.875

Mathematics ? Marking Scheme ? Year 7 ?Track 3 ? 2019

4 a)

b) 1.26 ? 1000 = 1260 c) (i) 1260 ? 2 = 630 g

(ii) 630 ? 3 = 210 g

(iii) 630 ? 210 = 420 g

5

a)

85 3 20 - 20 = 20

b)

53 8 6+6=6

c)

8 6

=

1

2 6

=

1

1 3

6 a) 8 - 6

b) 4 + 8 = 28 4 + 8 - 8 = 28 - 8 4 = 20 4 ? 4 = 20 ? 4 = 5

c) 3 ? 6 + 7 ? 5 - 8 18 + 35 - 8 = 45

7 a) = 0 , 3 , 6 , 9 , 12

b)

B1

M1 A1 M1 A1 M1 A1 M1 A1

9

or 0.63 kg or 0.21 kg or 0.42 kg

M1 A1

M1 A1

M1 A1 B1 M1

6

Accept

1

2 6

Expanding bracket

M1

7 Subtracting 8 from both sides

M1

Dividing both sides by 4

A1

M1

Correct substitutions

A1

B2

-1 e.e.o.o.

B2

Correct plotting of points

(-1e.e.o.o)

B1

Correct straight line graph

7

c) = 3.4 8 a) unlikely

b) evens

Mathematics ? Marking Scheme ? Year 7 ? Track 3 ? 2019

(M)1 A1 ft B1

B1

Reading value using graph 2

Page 3 of 4

9

= 180 - (50 + 38) = 92

Sum of angles in a triangle is 180?

= 360 - (121 + 100 - 61) = 78 Sum of angles in a quadrilateral is 360?

= 180 - 113 = 67 Interior angles

= = 67 Corresponding angles

10 a)

Marks 0 ? 19 20 ? 39 40 ? 59 60 ? 79 80 ? 100

Tally II III IIII

IIII II III

Frequency 2 3 5 7 3

b)

M1 A1 B1

M1 A1 B1

10

B1 B1

B1 B1

B2

Correct frequencies

(-1e.e.o.o)

B1

Correct labelling of both axes

B2

Correct length of bars

10 (-1e.e.o.o)

(Accept bars that are touching)

c) 5

B1

d) 10

B1

e) 68 + 70 + 61 + 62 + 65 + 63 + 70 + 91 + 80 + 87

= 717

(M)1

717 ? 10

(M)1

= 71.7

A1ft

11 a) 3.85 ? 5 = 0.77 2.34 ? 3 = 0.78 1.60 ? 2 = 0.80

M1 A1

Adding Dividing by 10

5 litre bottle is the best buy

b) ?

c) 90 ? 100 ? 20 = 18

d)

18 + 33 + 24 = 75

A1 ft

B1 M1 A1 M1 A1 ft

For incorrect previous 8 answers

TOTAL MAIN PAPER: 75 MARKS

Page 4 of 4

Mathematics ? Marking Scheme ? Year 7 ?Track 3 ? 2019

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