編號:

6941

年級:

中二 (F2)

科目:

英文 (English)

學校

檔案格式:

pdf

頁數:

6

檔名:

st_stephen_girl_college_F2-Ma-P2-21-22-fy

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內容節錄：

145 students

St. Stephen's Girls' College

Final Examination 2021-2022

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.

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

This paper carries 100 marks.

Page 1 of 6

LL, SCHL, TYL, CYN

F.2 Mathematics Paper II

Determine whether each of the following is an identity.

Circle the correct answers.

(a) (2y+3)² = 4y² + 6y +9

(b) (a-5)²=a² - 25

Factorize the following expressions.

(a) 18x²y+12xy³

(b) 9a (5b-7a)+7a-5b

If (P - x)(3 + x) = -x² - Qx +9, where P and Q are

constants, find the values of P and Q.

A train travels at a speed of 42 km/h. How long does the

train take to travel 294 km?

Simplify 250 mL : 2 L.

If a:b 2:5 and 4a=3c, find a:b:c.

Final Examination 2021-2022

The scale of a map is 1 : 4 000. If the distance between a

restaurant and a cinema on the map is 5 cm, find the actual

distance between the two places in km.

Change the subject of the following formula to the letter in

the square brackets.

4(x-5) 6(5-x)

10. Solve the simultaneous equations

Page 2 of 6

11. The total price of 4 rulers and 9 rubber erasers is $55. If the 11.

price of a ruler is higher than that of a rubber eraser by $4,

find the price of a ruler.

F.2 Mathematics Paper II

12. It is given that the graph of the equation 4x-5y = 8 passes

through A( a +3, a) and the point B on the x-axis. Find the

value of a and the coordinates of B.

13. In the figure, ABF, BCG and AEH are straight lines. Find x.

14. If 5 times an exterior angle of a regular polygon is less than

its interior angle by 60°, find the number of sides of the

regular polygon.

15. In the figure, AAOBADOC. Find .x.

Final Examination 2021-2022

16. In the figure, name a pair of similar triangles and give

(a) Round off 195.7648 to 3 significant figures.

(b) Round up 195.7648 to 2 decimal places.

(c) Round down 195.7648 to the nearest integer.

17. In the figure, BCD is a straight line and ZBAC = ZBDA. 17.

AB= 18 cm and BC = 10 cm. Find CD.

Page 3 of 6

F.2 Mathematics Paper II

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

following numbers?

(a) 0.10340

(b) 850 000 (correct to the nearest thousand)

20. If the time to cook a fish well is measured as 9 minutes with 20.

a percentage error of 4%, find the maximum absolute error

21. The lifetime of a light bulb is measured as 1800 hours,

correct to the nearest 3 hours. Find the relative error and give

your answer in the form of

22. The length of a pen is measured as x cm by using a ruler 22.

with a scale interval of 1 mm. If the percentage error is

0.4%, find the value of x.

24. In the figure, BCD is a straight line. Find the value of x.

23. X and Y are two square plots of land. The length of each side 23.

of X is 4 km. The area of Y is 4 times that of X. Find the

length of each side of Y.

Final Examination 2021-2022

(a) √27=3 or -3

25. Which of the following is/are true? Circle the correct

26. Which of the following numbers is/are rational number(s)?

Circle the correct answers.

Page 4 of 6

(a) Yes 1 No

F.2 Mathematics Paper II

27. In the figure, AOB is a sector with centre O. If the area of the 27.

shaded region is 50 cm², find the length of OA correct to 3

significant figures.

Final Examination 2021-2022

The following figure is formed by semi-circles and straight

Find its perimeter correct to 3 significant figures.

(b) Find its area correct to 3 significant figures.

29. The figure shows a circle and a semi-circle. It is given that

the circumference of the circle is equal to the length of

AB. Which of the following is/are true? Circle the correct

(a) The radius of the semi-circle is twice the radius of the

(b) The area of the semi-circle is twice the area of the circle.

30. In the figure, PRQ is a semi-circle with centre O and

LPQR = 36°. If the radius of the semi-circle is 1 cm,

find PR:RQ.

31. In the figure, the solid is formed by two right circular

cylinders. Find the total surface area of the solid. (Give your

answer correct to 3 significant figures.)

Page 5 of 6

F.2 Mathematics Paper II

32. In each of the following figures, find the unknown. (Give

your answers correct to 3 significant figures if necessary.)

33. Find the acute angle in the following correct to the

nearest degree.

Final Examination 2021-2022

34. In the figure, PQRS is a trapezium. Find the area of PQRS.

(Give your answer correct to 3 significant figures if

necessary.)

35. In the figure, PQ and QR are two inclined roads.

PQ = 350 m and QR = 230 m. It is known that the angles

made by PQ and QR with the horizontal are 8° and 12°

respectively. Find the vertical distance from R to the

horizontal ground. (Give your answer correct to 3 significant

figures if necessary.)

36. In the figure, O is the centre of a circle of radius 10 cm.

A, B, C, D, E, F, G and H are points on the circle such that

ABCDEFGH is a regular octagon. Find the perimeter of

ABCDEFGH. (Give your answer correct to 3 significant

figures if necessary.)

---End of Paper.

Page 6 of 6