中二 數學試卷 (F2 Maths Past Paper)

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內容節錄：
168 students
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.
This paper carries 100 marks.
Simplify 22nx 8³n
St. Stephen's Girls' College
Final Examination 2016-2017
Expand (x + 6)(x + 2).
MATHEMATICS
Time Allowed: 1 hour
(a) x² −4² = (x-4)²
(b) (3x+y)(3x-y) = 3x² - y²
(c) (1-b)² = (b-1)²
Make q the subject of the formula P =
LC, WMC, LHK, LL, CYN, MLW
Determine whether the following statements are true or 3.
false and circle the correct answers.
Page 1 of 5
A bottle is termed standard if its capacity is measured as 5.
200 mL, correct to the nearest 10 mL. Find the least
capacity of a standard bottle.
Stephen spent 12.06 s to complete a 100 m race, correct to 6._
4 significant figures. Find the maximum error of the
measured time.
The length of a piece of metal wire is measured as 2.0 m, 7.
correct to the nearest 0.1 m. Peter cuts this metal wire
into n pieces of shorter wires, with each length measured
as 5 cm correct to the nearest cm. Find the greatest
possible value of n.
F.2 Mathematics Paper II
8. The following frequency polygon shows the time taken in a test by a group of students.
Time taken in a test
Cumulative frequency
(a) Find the class width of each class interval.
(b) For the class interval with the highest frequency, find
(i) its frequency,
(ii) its class mark,
(iii) its class boundaries.
(c) What is the shortest possible time taken by the group of (c)
Final Examination 2016-2017
30.5 35.5 40.5 45.5 50.5
The following cumulative frequency curve shows the marks of 190 S3A students of a
school in a Mathematics examination.
Marks of S3A students in a Mathematics examination
(a) How many students got 60 marks or more?
(b) If the passing mark is 40, find the passing percentage
of the examination. (Correct the answer to 3 significant
Page 2 of 5
F.2 Mathematics Paper II
Which of the following points lies on the graph of the
equation y = 3x - 5?
A(-2, 1), B(-1,-2),
C(-5,0), D(3,4)
If the graph of the equation 3x + y = 12 passes through
P(m +8, m), find the value of m.
Solve the simultaneous equations
Final Examination 2016-2017
David has some $10 and $2 coins that worth $90 in total.
If there are a total of 13 coins, how many $10 coins does
David have?
If 4x=9y, find x : y.
Mary has 10 English books, 8 Chinese books and 2
Japanese books. Find the ratio of the number of English
books to that of Chinese books to that of Japanese books.
If a: c= 3: 10 and b: c= 5: 4, find a : b: c.
Twelve packs of green tea are sold for $38.4. Find the
price rate in $/pack.
Susan buys the first 24 cans of cola at $x/can and the next
8 cans of cola at $(x + 0.4)/can. If the average cost of the
cola is $3.4/can, find the value of x.
In the figure, AABC is
an equilateral triangle.
BD and AC intersect at E.
Find x and y.
In the figure, DBC is a straight line A
and AB BC. Find ZBAC.
Page 3 of 5
F.2 Mathematics Paper II
21. In the figure, ABCDEF is
a regular hexagon.
AC and BD intersect at G.
The size of each exterior angle of a regular n-sided
polygon is 18°. Find the value of n.
Find the unknowns in the following figures.
Final Examination 2016-2017
In the figure, PQRS is a rectangle with R and S lie on the
diameter of a semicircle. PQ = 16 cm, PS = 6 cm and
OP = r cm. If OP is the radius of the semicircle, find r.
Simplify the following expressions.
(a) 7√3+2√3-3√3
(b) √72-√√50
Simplify (√x+1+√x X (√x+1=√x).
Which of the following is NOT a rational number?
3.9, √√25+1, √√3
Page 4 of 5
In AABC, AB = 7, BC =√18 and CA = √31. Determine 25. Yes / No
whether AABC is a right-angled triangle. (Circle the
correct answer.)
F.2 Mathematics Paper II
29. In the following figure, find the value of each of the 29.
following and give the answers in fractions.
In the figure, find ZP.
Correct your answer to
3 significant figures.
In the figure, ZABC = 90°,
ZACB = 30° and AC = 3.
Final Examination 2016-2017
Find the acute angle x such that tan x =
of cos x in surd form. Simplify and rationalize the
denominator of your answer if necessary.
Simplify 9-sin²x - cos²x.
Find the acute angle x such that sin x = cos 55°.
If x is an acute angle such that sin x = - find the value 32.
---End of Paper
Page 5 of 5
In the figure, PAQ, PBR and QCR are straight lines. It is 36.
given that AP = AB = AC = AQ, PR = QR and
ZBRC=2ZBAC. Find ZBAC.