FORM 4 MATHEMATICS MARKING SCHEME

[Pages:4]DIRECTORATE FOR QUALITY AND STANDARDS IN EDUCATION Department of Curriculum Management Educational Assessment Unit

Annual Examinations for Secondary Schools 2016

Track 3

FORM 4

Notes for Marking of Scripts Types of Marks

MATHEMATICS MARKING SCHEME

M(ethod) 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. In general a correct method is implied by a correct answer and therefore when a correct answer is given and no work is shown, no method marks are lost.

A(ccuracy) marks are 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 (M) or accuracy (A) marks are awarded when a wrong method leads to a correct answer.

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

Misreading

M marks can still be earned (unless that part of the question is trivialized) but the final A marks are lost.

Crossed out working

An answer or working that is crossed out and not replaced is marked as if it was 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, 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 ? Form 4 Secondary ? Track 3 ? 2016

Page 1 of 4

Non Calculator Paper (20 marks) Each question carries 1 mark.

Question 1

12 = 2

18 3

o.e.

Question 5 24

Question 9

3 5

Question 13

Any line passing through (2, 0)

Question 17

1 ? 5

Question 2 ?2

Question 6 55

Question 10 3

Question 14 1.43 ? 1010 Question 18

3.822

Question 3 7

= 3 - Question 7

0.348 Question 11

19 Question 15

4

Question 19 2

Question 4 25

Accept answer in standard form

Question 8

y = x

Question 12 3 - 2 2

Question 16

50 25 2 or

Question 20

B) or 9 cm2

Main Paper (80 marks)

Question No.

1

Requirements

1 048 576, 614, 177 147, 65 536 (Award 1 mark for each pair correctly changed into ordinary numbers)

8-2,

216,

311,

(

1

-5

)

16

o.e.

2

+ 4 = 3

= 3( + 4) o.e.

3

Breadth of rectangle is 1.5x

Perimeter = 9x

9x = 30

x

=

3.

3

or

3

1 3

(seen or implied)

4

a)

Volume

=

1 3

? (9 ? 9) ? 8

216

b) Volume of cube = 9 ? 9 ? 9

Total volume = 729 + 216 = 945

Marks

M2 3

A1

M1 2

A1

M1

M1

M1

4

A1

(or more accurat

M1

A1

M1

4

A1 f.t.

Page 2 of 4

Mathematics ? Marking Scheme ? Form 4 Secondary ? Track 3 ? 2016

5 a) Obtaining two points correctly

M1

Fully correct rotation of ABC

A1

B`

y

6 A

B

C `

4

4

A`

2

C

?8 ?6

?4

?2

0

2

4

6

x

b) Attempt to draw the bisector of angle ABC

M1

Bisector correctly constructed

(Arcs must be seen)

A1

6 a) ?0.5

B1

b) ?1.8 (+ 0.05) or 0.8 (+ 0.05)

c) Drawing the straight line ?1.2 (+ 0.1) or 0.4 (+ 0.1)

B1

M1

4

A1

7 a) 12.342 + 15.22 = BC2

M1

BC = 19.578447..... 19.6

A1

Do not penalise incorrect rounding

b)

15.2 Tan B = 12.34

5 M1

8 a)

B = 50.92885.....

51? 15 - 52

(seen or implied)

A1

A1

B1 for each correct term

B2

b) (3 - 10)(3 + 10)

B1 for each correct factor

B2

c) 42 - 17 - 15 = 0 (4 + 3)( - 5) = 0 = -0.75 or = 5

Both correct

M1

7

M1

A1

9 a) PAQ = ? POQ ( at circumference = ? at centre)

PBQ = ? POQ ( at circumference = ? at centre)

PAQ = PBQ

-1 e.e.o.o.

M2

b) i) 65; angles in the same segment

Both seen

B1

6

ii) ACD = ABD = 45? (angles in the same segment)

M1

ACB = 180? ? 80? ? 45? = 55?

M1

q = ACB = 55? (angles in the same segment)

A1

Accept other valid methods

10 a)

240 360 ?

? 62

M1

75.39822369... 75.4 Do not penalise incorrect rounding

A1

b) 1 ? 22 ? (12 + 26)

2

418

Accept other valid methods

M1

6

A1

c) Area of rectangles 10 ? 1.7 ? 16 = 272

M1

Total area = (75.398... ? 2) + 418 + 272

840.8

f.t. from part a) A1 f.t.

Do not penalise incorrect rounding

Mathematics ? Marking Scheme ? Form 4 Secondary ? Track 3 ? 2016

Page 3 of 4

11 a) b)

c) 12 a)

b) c) d) e) 13 a) b)

c) d)

14 a)

1; 1

Both correct

i) Danika; the table is divided in just 2 sections: those weighing 25 kg or under; those weighing over 25 kg (or similar explanation).

ii) 1 o.e.

13

B1

B1 B1

B1

7

Correct scale and labelling of axes

M1

4 bars correct

M1

Histogram completely correct

A1

Correct plotting of at least 4 points

(seen or implied)

Straight line completely drawn correctly

1223.8

1223-1221

5-0

0.4

Accept other valid methods

= 0.4 + 1221 Multiplying by 5 gives 5 = 2 + 6105

Substituting x = 55 in equation; 1243

20-2 2

=

10 ? x

M1 A1 B1

M2 10

A1 M1 A1 M1, A1

M1

Area of rectangle ABGH = 2 ? 20 = 40

M1

Area of KLIJ + CDEF = (2)2 ? 2 = 82

M1

Area of the cross = 82 + 40

A1

Accept other valid methods

Area of circle = 3x2

M1

Total area = 3x2 + 8x2 + 40x = 11x2 + 40x

M1

10

11x2 + 40x = 178

M1

11x2 + 40x ? 178 = 0

-40 ? 402 - 4(11)(-178)

=

2(11)

=

-40?9432 22

;

= 2.60

M1 M1, A1

i) Option A, because the rate is higher and it is only for 1 year

B1

(Accept working for an explanation)

(option & reason)

ii) Let y be the invested sum,

Option A yields an interest of 0.032y ? 10 years = 0.32y Option B yields (y ? 1.0310) ? y = 0.34y

Option B is better

(Award marks if a number is used instead of y)

M1 M1 A1

8

b) i) 0.035 ? 1000 = 35

B1

ii) 1000 + 35 ? 300 = 735

M1

0.035 ? 735 = 25.725

M1

735 + 25.725 ? 300 = 460.725

= 460.73

(Accept 460.725)

A1

Page 4 of 4

Mathematics ? Marking Scheme ? Form 4 Secondary ? Track 3 ? 2016

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download