編號:

6933

年級:

中二 (F2)

科目:

數學 (Maths)

學校

檔案格式:

pdf

頁數:

6

檔名:

st_stephen_girl_college_F2-Maths-P1-20-21-fy

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內容節錄：

166 students

St. Stephen's Girls' College

Final Examination 2020-2021

MATHEMATICS

Time Allowed: 1 hour

Instructions:

Answer ALL questions in the spaces provided in this Question-Answer Paper.

All rough work should be done on the rough work paper provided, but will not be marked.

The diagrams in this paper are not necessarily drawn to scale.

Page 1 of 6

LHK, KAL, SCHL, YLN

Unless otherwise specified, numerical answers should be either exact or correct to 3 significant

This paper carries 100 marks.

F.2 Mathematics Paper II

1. How many significant figures are there in each of the

following numbers?

(a) 0.039 60

(b) 100 000 (correct to the nearest hundred)

Do the following measurements have a maximum absolute

error of 0.2? Circle the correct answers.

(a) Measured value = 2.0, correct to the nearest 0.4.

Using a measuring tool with a scale interval of 0.2.

(c) Measured value = 10, relative error = 0.02.

5)³ x 24ab¹ and express your answer in

positive indices.

Which of the following polynomials has/have the highest

I. 4x²y-5xy II. 40x+x²2 ²y³

if x=-2, y=3 and z=

Final Examination 2020-2021

Find the value of the polynomial x² + y²z+ +5xy

(b) (x-3y)(x+3y)+3x² +:

Expand and simplify the following polynomials.

(a) 2(x² + 3xy-5y²)-(x²-xy-4y²)

2y-1_3y+1_-7-6y

If -4x-A= B(2x-3), where A and B are constants, find

the value of A.

Determine if each of the following is an identity.

(a) 4x-5-1-2(3-2x)

Simplify the following expressions.

a-3 a² - 2a

It is given that v² = u² + 2as.

If a 8, v= 10 and u = 6, what is the value of s?

Page 2 of 6

F.2 Mathematics Paper II

It is given that b=

Make a the subject of the formula.

Determine if each of the following points lies on the graph 12.

of the equation 4x-3y = 12.

Solve the simultaneous equations

Final Examination 2020-2021

14. In a store, chicken legs are sold at a rate of $20.5 / kg. What

is the price of 400 g of chicken legs?

It is given that +

numbers. Find x : y.

15. Suppose 25000 H.K. dollars is equivalent to 2400 British

pounds. How much H.K. dollars is needed to change to 2000

British pounds? Correct your answer to the nearest dollar.

16. In a school, there are 1 200 students. The ratio of the

number of boys to the number of girls is 5:3. If the ratio of

the number of girls who wear glasses to those who do not

wear glasses is 4: 5, find the number of girls who wear

19. In the figure, find the value of x.

where x and

y are non-zero

In a map, 5 cm represents an actual distance of 2 km. What 18.

is the actual area in km² represented by a rectangular field

which is 4 cm by 9 cm on the map?

Page 3 of 6

20. In AXYZ, ZX = 90°, XY = 5 cm and YZ = 5√√2 cm. Find the 20.

length of XZ.

F.2 Mathematics Paper II

21. Which of the following is/are right-angled triangle(s)?

The heights of poles AB and CD are 120 cm and 162 cm

respectively. They stand vertically on a horizontal ground.

A string of 70 cm long is used to tie up the tops of the poles.

Find the distance between B and D.

23. Simplify 3√7-7√28 and express your answer in surd

In the figure, ABC is a straight line. Find .x.

In the figure, find the value of r.

Final Examination 2020-2021

Page 4 of 6

F.2 Mathematics Paper II

26. In the figure, find the value of y.

28. In the figure, find x and 0.

(Give your answers correct

to 3 significant figures if

necessary.)

27. In a regular n-sided polygon, the size of an interior angle is

greater than the size of an exterior angle by 120°. Find the

value of n.

In the figure, PQRS is a

parallelogram, PS = 3.5 m,

RS = 2.5 m and ZS = 40°.

Find the area of PQRS.

(Give your answer correct to

3 significant figures.)

29. In the figure, ZA = 24°, ZC = 90° B

and BC = 36 cm. Find

ZB, AB and AC. (Give your

answers correct to 3 significant

figures if necessary.)

Final Examination 2020-2021

sin 5x = cos 4x

Find the value of

2 cos 60° sin 30°

surd form if necessary.)

-= tan 52°

Find the acute angle x in each of the following.

Page 5 of 6

(Leave your answer in

F.2 Mathematics Paper II

33. In the figure, ACD and BCE are

straight lines. ZB=ZD=90°

ZE=40° and ZA= 0. Which

of the following is/are true?

Circle the correct answers.

(a) 0 = 50°

Final Examination 2020-2021

---End of Paper

Page 6 of 6