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SCHEME ANSWER OF PAPER 2

No. PERATURAN PEMARKAHAN MARKAH MARKAH PENUH

1 or

1

Substitute x or y in equation 2 or

1

or Solve quadratic equations by using a formula or completing the squareUsing a formula

1

By completing the squareOr 1

10

accept answer more than 2 d.p 1 5

2

(a) Equation of the tangent

(b) approximate change in y

1

1

1

1

1

or

1

16

3 or or or another valid method

1

1

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Compare:

1

1

1

2 7

4(a)

Interquartile range

6

5

4

3

2

1

numberofstudents

marks23.5 50.540.530.520.510.50.5

Score mode = *23.5

1

1

1

1

3

1 8

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No.PERATURAN PEMARKAHAN MARKAH MARKA

H PENUH

5

or another method

Shape of cosineAmplitude (maximum and minimum)ShiftedStraight line (gradient or y-intercept) for

or

Number of solutions = 4

1

1

1

1111

1 8

6(a) used formula

1

1

1

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(b) Used

(c)

1

1

1

17

7 0.30 0.48 0.60 0.70 0.79

0.54 0.68 0.77 0.86 0.92

Refer to the appendix 1

Minimum 1 point plotted correctly(Correct axes and uniform scales)5 *points are correct plottedLine of best fit (at least 3 points lies on the straight line and the other must be balance)

1

1

1

11

1

1 +111 10

8

(a)

(b) solve simultaneous equations

(c) area of shaded region

1

1

1

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(d) Volume of generated

1

1

1

1

1

1 10

9

(a)

Used formula a point dividing a segment of a line

(b) (i)

(ii) use area of triangle

1

1

1

1

1

1

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(c)

1

1

1

1 10

10(a) mean,

find

or using

or 0.99877

(b) use

or

or

Solve simultaneous equation (until 1 variable left)

11

1

Or 1

1 or 1

1 or

11

1

111

10

No. PERATURAN PEMARKAHAN MARKAH MARKAH PENUH

11(a)

Used trigonometric ratios

1

1

2

(b) Used Pythagoras Theorem to find OR

Used trigonometric ratios to find

1

Or 1Or 1

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Perimeter of shaded region

Or 1

1

14

(c) Area of sector PRS

Area of sector QOR

Area of triangle OPR

Area of shaded region

1

Or 1

Or 1

1

1 4

Total marks 1012 (a) Used sine rule

(b) Used cosine rule

(c) Used sine rule or cosine rule

1

1

1

11

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(d) Area of triangle PQR

Area of triangle PSR

Area of PQRS

=

1

1

1

Or

1

1

110

13

(b) Ingredient w Iw

A 150 36 5400B 120 72 8640C 200 108 21600D 130 144 18720

360 54360

(b) Used

(C)

(d)

3

1

1

1

1

1

1

1

10

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14

(a)

(b) Draw correctly at least one straight line*

Draw correctly all three straight lines R correctly shaded. Refer to appendix 2

(c)

The maximum fees collected is 28500

1

1

1

111

11

1 10

15 (a) (b)

(c)

(d)

At least two terms changes their index.

Stops instantaneously,

1

1

1

1

1

1

1

1

1

1

10

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Appendix 1Graph 7(a)

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Appendix 2Graph 14(b)

END OF SCHEME ANSWERSKEMA PEMARKAHAN TAMAT

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