[PDF] HKDSE Core Math 2015 Paper 1 (Solutions)

View - Download HKDSE Core Math 2015 Paper 1 (Solutions)

Previous PDF

Next PDF

HKDSE Core Math 2015 Paper 1 (Solutions)

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

1. HKDSE 2015 Q.1

2. HKDSE 2015 Q.2

3. HKDSE 2015 Q.3

4Š‡ "‡“—‹"‡† ""‘"ƒƒ"‹Ž‹-›ൌ͵൅-൅ͳ

4. HKDSE 2015 Q.4

5. HKDSE 2015 Q.5

(a) ͹െ͵ݔ

4Š—•ǡ-Š‡ "‡“—‹"‡† "ƒ‰‡ ‹• ݔ൐ͳ͵

(b) 4

6. HKDSE 2015 Q.6

HKDSE Core Math 2015 Paper 1 (Solutions)

2

7. HKDSE 2015 Q.7

Let ݔ be the number of apples owned by Billy.

8. HKDSE 2015 Q.8

ס Aൌס ס Aൌס

Thus, ס

In ȟ, ס൅ס

Thus, ס

ס A൅סAൌס

9. HKDSE 2015 Q.9

(a) Let ߠ Therefore, the angle of the sector is ͹ͷι.

10. HKDSE 2015 Q.10

(a) Let 3ൌܽ൅ܾ݊, where ܽ and ܾ

Solving, we have ܽൌ͸͸-- and ܾ

HKDSE Core Math 2015 Paper 1 (Solutions)

3

11. HKDSE 2015 Q.11

B‘-‡ -Šƒ- െͳെξͷ

Thus, the claim is disagreed.

12. HKDSE 2015 Q.12

(a) Mean ൌͷͷ ‰, median ൌͷ- ‰, range ൌ͵ͻ ‰ (b) Let ܽ ‰ and ܾ ‰ be the weights of the two students, where ܽ൑ܾ

Case 1 : ܽ

Then ܾ

Under this case, ܾ

Then ܽ

Thus, the weights of the two students are 52 kg and 80 kg.

HKDSE Core Math 2015 Paper 1 (Solutions)

4

13. HKDSE 2015 Q.13

(a) In ȟA and ȟ, ס Aൌס

Aൌ (given)

Aൌ (property of square)

׵ ȟA؆ (b) By (a), we have סAൌס ס Aൌͳͺ-ιെסAെסAൌͻ-ιെס

Thus, ȟ

is a right-angled triangle.

14. HKDSE 2015 Q.14

(a) (i) 3Ž‘"‡ ‘ˆ 01ൌ-͵൅ͳ

Equation of L : ݕെͳͳൌ͵

(ii) Equation of the circle passing through P, Q and R :

Thus, the required diameter is 50.

HKDSE Core Math 2015 Paper 1 (Solutions)

5

15. HKDSE 2015 Q.15

Relative to other students, David performs better in the Science examination than in the

Mathematics examination.

Thus, the claim is correct.

16. HKDSE 2015 Q.16

(b) 4Š‡ "‡“—‹"‡† ""‘"ƒ"‹Ž‹-›ൌͳെସଽ൅ଵହൈଷଽ

17. HKDSE 2015 Q.17

Thus, the greatest value of ݊ is 64.

HKDSE Core Math 2015 Paper 1 (Solutions)

6

18. HKDSE 2015 Q.18

In this case, ST is a vertical line.

So, the perpendicular bisector of ST is a horizontal line. Therefore, the circumcentre of ȟC34 does not lie on the ݔ-axis.

Thus, the claim is incorrect.

HKDSE Core Math 2015 Paper 1 (Solutions)

7

19. HKDSE 2015 Q.19

The distance between A and C is 42.9 cm.

(ii) •‹ס A"‡ƒ ‘ˆ -Š‡ "ƒ"‡" ...ƒ"†ൌͳ i.e. the area of the paper card varies as •‹ס The area of the paper card is the greatest when ס

When סAൌͻ-ι, we have ס

When ס

When ס

(b) Let M be the mid-point of CD. ൌA...‘•ס

AൌA•‹ס

Volume of the pyramid ABCD

quotesdbs_dbs46.pdfusesText_46

[PDF] 2015 maths past papers

[PDF] 2015 movies

[PDF] 2015 nancy grace response to ohio shooting

[PDF] 2015 nancy meyers movie

[PDF] 2015 nc 700x review

[PDF] 2015 nc d400 instructions

[PDF] 2015 nc drivers license

[PDF] 2015 nc plumbing code book

[PDF] 2015 nc-3 form for north carolina

[PDF] 2015 news article on invokana lawsuits

[PDF] 2015 news bloopers youtube

[PDF] 2015 news headlines

[PDF] 2015 nice actress photo nepali

[PDF] 2015 nice bronchiolitis guideline

[PDF] 2015 nice list certificate printable