HKCEE Math 2008 Paper 1 (Solutions)
HKCEE Math 2008 Paper 1. (Solutions). 1. For official marking scheme please refer to HKEA publications. 1. HKCEE 2008 Q.1. ( )3.
2008 Hong Kong Certificate of Education Examination Results
2008?8?3? A total of 106770 candidates sat the HKCEE exams at 410 centre schools in 2008. Among them 78
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(1) ?????2008????2006????????????????????????? (2) ?????????? Mathematics and Statistics. ??. Mathematics.
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Tables 7d-7f show respectively the performance of day school first attempters day school candidates and all candidates in the HKCEE from 1997 to 2008. The
Table 6: Comparison of candidates performance in 2010 HKALE
???2010??????????2008????????????. Comparison of candidates' Mathematics and Statistics. A ????. Pure Mathematics. ????.
2009 Examination Timetables and Dates of Release of Results
Ref: CE/31-1/2008. 30 May 2008. Hong Kong Examinations and Assessment Authority. General Examination Circular No. (6) 2007/2008.
ADDITIONAL MATHEMATICS
2008-CE-A MATH. OBJECTIVE. The objective of the examination is to test the ability of candidates to understand and to apply more advanced mathematical
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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
4 "" """"-ൌͳ
HKCEE Math 2008 Paper 1 (Solutions)
26. 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) 4 "" ""...-ൌͺ-9. HKCEE 2008 Q.9
10. HKCEE 2008 Q.10
(a) ܽHKCEE Math 2008 Paper 1 (Solutions)
311. HKCEE 2008 Q.11
ݔൌെͷ or ݔൌ͵
The two ݔ-intercepts are െͷ and ͵.
(c) Equation of the required line : ݕൌെͳ12. HKCEE 2008 Q.12
(c) Slope of ൌͳ Substitute ݕൌ͵ into ݔെݕെൌ-.HKCEE Math 2008 Paper 1 (Solutions)
413. HKCEE 2008 Q.13
Base radius of X is 12 cm.
3- - E
3- - 8ൌͳ-
3- - 8
14. HKCEE 2008 Q.14
(a) (i) 4 "" """"-ൌͻ (ii) (1) 4 "" """"-ൌͺ (2) 4 "" """"-ൌͳെͺ (b) (i) Median ൌ̈́ͷ--- Since inter-quartile range does not change, an extra $1000 can be given to each of the36 salesgirls.
HKCEE Math 2008 Paper 1 (Solutions)
515. HKCEE 2008 Q.15
(a) A -͵ͷιെAThe 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 סSince 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)
617. HKCEE 2008 Q.17
(a) סA0ൌס0ൌ0 (equal ס
ס 0ൌסA0 (equal chords, equal ס ס 0ൌסA0סA (ext. ס ס 0ൌס0ס 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 01ൌ
0 (iii) 3" 1ൌͺͳെ-3" 1ൌͺͳെ͵-
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