[PDF] HKCEE Math 2008 Paper 1 - WordPresscom

ath 2008 Paper 1 (Solutions) 1 For official marking scheme, please refer to HKEA 



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HKCEE Math 2008 Paper 1 - WordPresscom

ath 2008 Paper 1 (Solutions) 1 For official marking scheme, please refer to HKEA 







2008 Hong Kong Certificate of Education Examination Results

A total of 106,770 candidates sat the HKCEE exams at 410 centre schools in 2008





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HKCEE Math 2008 Paper 1 (Solutions)

1 For official marking scheme, please refer to HKEA publications.

1. HKCEE 2008 Q.1

2. HKCEE 2008 Q.2

(b) The required least integer is 9.

3. HKCEE 2008 Q.3

(a) The values of ݉ are 1 and 3. (b) The values of ݇ are 2 and 3.

4. HKCEE 2008 Q.4

5. HKCEE 2008 Q.5

4Š‡ "‡“—‹"‡† ""‘"ƒ"‹Ž‹-›ൌͳ

HKCEE Math 2008 Paper 1 (Solutions)

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6. HKCEE 2008 Q.6

7. HKCEE 2008 Q.7

(b) The actual total amount is less than $97. Thus, John has enough money to buy all the items needed.

8. HKCEE 2008 Q.8

(b) (i) 4Š‡ "‡“—‹"‡† "‡"...‡-ƒ‰‡ൌͺ͸-

9. HKCEE 2008 Q.9

10. HKCEE 2008 Q.10

(a) ܽ

HKCEE Math 2008 Paper 1 (Solutions)

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11. HKCEE 2008 Q.11

ݔൌെͷ or ݔൌ͵

The two ݔ-intercepts are െͷ and ͵.

(c) Equation of the required line : ݕൌെͳ͸

12. HKCEE 2008 Q.12

(c) Slope of ൌͳ Substitute ݕൌ͵ into ݔെݕെ͹ൌ-.

HKCEE Math 2008 Paper 1 (Solutions)

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13. HKCEE 2008 Q.13

Base radius of X is 12 cm.

3Žƒ- Š‡‹‰Š- ‘ˆ E

3Žƒ- Š‡‹‰Š- ‘ˆ 8ൌͳ-

3Žƒ- Š‡‹‰Š- ‘ˆ 8

14. HKCEE 2008 Q.14

(a) (i) 4Š‡ "‡“—‹"‡† ""‘"ƒ"‹Ž‹-›ൌͻ (ii) (1) 4Š‡ "‡“—‹"‡† ""‘"ƒ"‹Ž‹-›ൌͺ (2) 4Š‡ "‡“—‹"‡† ""‘"ƒ"‹Ž‹-›ൌͳെͺ (b) (i) Median ൌ̈́ͷ--- Since inter-quartile range does not change, an extra $1000 can be given to each of the

36 salesgirls.

HKCEE Math 2008 Paper 1 (Solutions)

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15. HKCEE 2008 Q.15

(a) A -ƒ͵ͷιെA

The required distance is 148 m.

(b) (i) ...‘•ס (ii) Let M be a point on BC such that ٣ and A٣

(iii) Since HM is the line of the greatest slope of the plane BCH, the greatest angle of

elevation of H from a point on BC is ס

Since ס

angle of elevation of H from K is ͹ͷι.

16. HKCEE 2008 Q.16

(c) By (b)(ii), Peter has to pay his salaries tax at the standard rate.

Total saving

Thus, Peter will have enough money to pay his salaries tax on the due day.

HKCEE Math 2008 Paper 1 (Solutions)

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17. HKCEE 2008 Q.17

(a) סA0ൌס

0ൌ0 (equal ס

ס 0ൌסA0 (equal chords, equal ס ס 0ൌסA0൅סA (ext. ס ס 0ൌס0൅ס ס 0ൌס ׵ 0ൌ0 (sides opp. equal ס i.e. 0ൌ0ൌ0 (b) (i) By (a), the required circle passes through B, C and I. Solving (1) and (2), we have ൌͳ͸ and ൌെͷͳ--.

Note that GP is the perpendicular bisector of BC.

Let 0

1ൌ

0 (iii) 3Ž‘"‡ ‘ˆ 1ൌͺͳെ-

3Ž‘"‡ ‘ˆ 1ൌͺͳെ͵-

ס ׵ 1൅סquotesdbs_dbs21.pdfusesText_27