中二 英文試卷 (F2 English Past Paper)

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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