中二 數學試卷 (F2 Maths Past Paper)

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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
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