# 中四 數學試卷 (F4 Maths Past Paper)

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maths Yearly_Exam_Paper_2_Q_A

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## 中四數學試卷 PDF 下載

Secondary 4
INSTRUCTIONS
Belilios Public School
announcement.
Yearly Examination, 2015-2016
MATHEMATICS Compulsory Part
3. All questions carry equal marks.
Time allowed: 1 hours
1. Read carefully the instructions on the Answer Sheet. After the announcement
of the start of the examination, you should insert the information required in the
spaces provided. No extra time will be given after the Time is up'
Maximum Marks: 45
Group: C___/ M_
2. When told to open this book, you should check that all the questions are there.
Look for the words 'END OF PAPER' after the last question.
6. No marks will be deducted for wrong answers.
4. ANSWER ALL QUESTIONS. You are advised to use an HB pencil to mark
all the answers on the Answer Sheet, so that wrong marks can be completely
erased with a clean rubber. You must mark the answers clearly; otherwise you
will lose marks if the answers cannot be captured.
5. You should mark only ONE answer for each question. If you mark more than
37. The graph in the figure shows the linear relation between x and log, y. If
y = ab*, then b
Ģ -ião -in mi
39. If x, y> 0 and x, y #1, calculate
38. If a polynomial f (x) is divisible by x + 2, which of the following must be a factor
of f(3x + 1)?
log₁ √√x³ +log, √√y
log, √x-logy
40. If 3n+2 +2×3″ -3n-1 = 96,find n.
41. If f(2x)=8x³-4x+5, then f(k)=
k³ - 2k +5.
42. It is known that x varies directly as y² and inversely as z³. If y and z are both
decreased by 20%, then x is
A. decreased by 25%.
decreased by 40%.
C. increased by 25%.
increased by 40%.
43. For 0°≤0 ≤ 360°, how many roots does the equation 5sin 0+ sin 0-4 = 0
44. If x is acute angle and y is an obtuse angle such that x+y=180°, which of the
following are true?
sin x = sin y
COS X = cos y
III. sin = COS
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
45. The greatest value of
END OF PAPER
Belilios Public School
Yearly Examination, 2015-2016
S4 MATHEMATICS Compulsory Part
There are 30 questions in Section A and 15 questions in Section B.
The diagrams in this paper are not necessarily drawn to scale.
Choose the best answer for each question.
² × (5a²)-³=
16-(2a-3b)² =
A. (4-2a-3b)(4+2a+3b).
B. (4-2a-3b)(4+2a −3b).
C. (4-2a+3b)(4+2a+3b).
D. (4-2a+3b)(4+2a − 3b).
If 7p+3q=4p + q = 5, then q =
If m and n are non-zero numbers such that (3n-4m): (2m+n) = 5:6, then
If (3x+4)(x− a) = 3x² + b(x-4), then
If a is a root of the equation 6x² - 9x+1=0, then 6a² − 9a +5 =
Find the y-intercept of the graph of y = −(x+2)(x−5)+8.
a=-1, b = -1.
a = 1, b = 1.
a = -2, b = -2.
a = 2, b = 2.
The figure shows the graph of y = a(x−b)(x-c), where a, b and c are constants.
Which of the following is true?
A. a 0 and bc < 0
a> 0 and bc < 0
a < 0 and bc > 0
D. a>0 and bc > 0
Which of the following equations has no real roots?
(x + 1)²-1=0
D. (x+1)² = 0
y = a(x −b)(x − c)
10. If the length of the line segment joining the points (-1, 2) and (k +4, k), is 13,
D. -10 or 7.
If the two straight lines 2x + y + 3 = 0 and 3x + hy + 1= 0 intersect at (k, -1), then
12. The straight line 4x - 3y = 2 is perpendicular to the straight line
3x - 4y + 2 = 0.
3x + 4y + 2 = 0.
4x-3y + 2 = 0.
D. 4x + 3y + 2 = 0.
13. In the figure, the equation of the straight line L is
C. x + y + 5 = 0.
D. x-y + 5 = 0.
14. If ab 10°, then c =
B. (loga)(logb).
loga + logb.
15. log₂16×log2 √√32 =
16. If the selling price of 4 eggs is equal to the cost price of 5 eggs, the percentage
profit in selling an egg will be
17. When a polynomial P(x) is divided by 3x - 2, the quotient is x +3 and the
remainder is 7. Find P(x).
3x³ +7x² - 6x+7
3x³ - 2x² +9x+1
3x³ - 2x² +9x-13
D. 3x³ +5x² +9x+15
18. When 4x³-5x+7 is divided by 2x + 3, the remainder is
19. If f(x)= x(3+k) and ƒ(2) = 8, find k.
20. If the simultaneous equations
solution, then k =
[y=x² +7x+4
have only one set of real
21. Solve log(3x+1)=1+ log(2x - 5).
22. Solve 32* =
23. If (log₂ x)² – 3(log₂ x) +2=0, then x =
24. How many real roots does the equation x4 +5x²-36=0 have?
25. Suppose x varies inversely as √y. The table below shows some pairs of x and y.
Find the values of a and b.
A. a = 4, b = 4√√2
B. a = 4, b = 2√√2
C. a = 16, b = 4√2
D. a = 16, b = 2√2
27. If (a-b) varies inversely as
26. Suppose y is partly constant and partly varies directly as x². If y = 9 when x = 1
and y = 15 when x = 2, find y when x = = 3.
(a−b)x ab.
C. (a²-b²) x
D. (a²-b²) ab
28. If costan 0 >0 and cos 0 <0, which quadrant does lie in?
29. If sin 0
A. -√√k²-1.
and 0° <0<90°, then tan(0-90°) =
B. √1-k².
C. √√k² +1.
30. The figure shows the graph of y=2 sin
B. (270,-2).
C. (270,-1).
D. (540,-2)
The coordinates of the point P are
31. If 3+2i is a root of the quadratic equation x²+bx+c= 0, where b and c are
real numbers and i = √√−1, then c =
32. If the difference between two positive integers and their product are 24 and 112
respectively, then the sum of these two integers is
33. Let a b > 1. Which of the following may be the function represented by C?
A. y = a + b
35. If pq and
34. In the figure, L₁ // L₂ and OQ = 2OP. The equation of L₁ is ax+by+c=0.
Find the equation of L₂.
A. ax+by+2c=0
B. ax+by-2c=0
C. ax+2by+c=0
D. ax+2by-c=0
then (2² (2ª)=
36. The L.C.M. of 15a, 12a¹b³ and 9a²b is
D. 180a¹2b4.