3 7

3472/1

MARKING SCHEME FOR SET 2 KERTAS 1

No. MARKING SCHEME MARKS

1 (a) many to one 1

(b) {0, 1, 4} 1 2

2 p = 9 2

B12

3 3x2 + 7x 6 = 0 2

(x + 3)(3x – 2) = 0 or x2 ( 3 + ) + (3 ) = 0 B12

4 x < 3, x > 7 3

(x – 7)(x + 3) > 0 or

x2 4x 21 > 0 B1

3

5 p = 6t 3

h = B2

or B1

3

6 1·869 4

B3

2x lg3 – x lg5 = lg3 B2

(2x 1) lg3 = x lg5 B1

4

7 1 + p – q 4

B3

B2

B1

4

1

B2

3472/1

No. MARKING SCHEME MARKS874·94 3

82 2·342 B2

r = 8 or QOR = 2·342 rad B1

3

9 2 3

3 – 1 B2

10th value or 3 or 30th value B1

3

10y = x + 3 3

y – 3 = (x – 0) B2

m = or Q(0, 3) B1

3

11 2 , – 14 3 = 10 B2

6i + (k + 6)j B13

12 (a) k = 1 2

(4k + 1) (2k 3) = (5k + 6) (4k + 1) B1

(b) T8 = 41 1

3

2

3472/1

13(a) 1

(b) n = 11 3

1 =

= 255·875 B2

r = B1

4

No. MARKING SCHEME MARKS

14 5 3

(4) + B2 (for integration)

or B1

(B1 for separation but excluding the limits)

3

153

B2

B1

3

3

(using cos(A + B) formula)

3472/1

16 R (1, 5) 3

8x – 2 = 6 B2

= 8x – 2 or mtangent = 6 B1 3

17m = 15 and n = 6 4

m = 15 or n = 6 B3

3 = 4n + 27 or m = 4(3) + 27 B2

B1

4

18 4 4

= 10 B3 (for substitution and the equation)

or equivalent B2 (for integration and the limits)

A = B1 (ignore ve sign and the limits for B1)

4

No. MARKING SCHEME MARKS

193 (do not accept in decimal form)

B2 (accept cosec A)

B1 for cos A cos sin A sin

3

4

3472/1

20 (a) 1 2

8x – 8 = 0 B1

(b) 4 2

4(1)2 – 8(1) B1

4

21 (a) 5i + 3j 2

B1

(b) (–5, –3) 2

B1

4

22(a) 2

B1

(b) 1

3

No. MARKING SCHEME MARKS

23(a) = 1287 1

(b) 966 3

B2

One of the combination above B1

4

5

3472/1

24 n = 75 and p = 3

n = 75 or p = B2

np = 45 or np(1 – p) = (3 )2 B1

3

25 k = 2·525 3

P (Z > k) = 0·0058 B2

P (Z > 0·71) P(Z > k) = 0·7554 B13

6