頁二第張六第 B+=#=#G2BZ WAH KIU YAT PO
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(廿七) 歐陽鋊文
MATHEMATICS (27)
LESSON 27: Miscellaneous Exercise
Paper I
報日僑茶
二期星 日六月五年九六九一公年八十五國民華中 育教儒華
A. $25
B. $5.76
C. 816
what is the ratio of areas of two similar triangles.
if their perimeters are 10 ft., 4 yd, resp.
A. 5:6 B. $:2
D'.$20.
E. $32
Find the total area of the external surface of an open tank, 7. ft. long, 5 ft. wide, 3 ft. high, external measurements.
A. 105 sq.ft.' B. 142 90.ft.
C. 25:36.
C. 107 sq. ft
D. 72 sq.ft.
E. 144 sq.ft.
13. Find in kg. the weight of water which a cistern 1.5 m. long, 1.2 m. wide. 64 m. high, will hold
A. 1152 kg.1
B. 1.152 kg.
C. 115,2 kg.
D. 11.52 kg.
D. 125:216
E. none of the above
26. In what time, at simple interest. will any sum of
money double itself at 5% p.a.
P. 15 yr. Q. 10. y.
R. 14.2 gr.
3:20 yr.
7. no answer ·
27. In what time, at compound interest, will any, sum
of money double itself at 5% p.a.
P. 15 yr.
Attempt all questions in Section A, and any Four from Saction B.
Section A
Do all.
Identify the correct answer of each question by shading an appropriate box on a separate answer. sheet.
Credit will only be given to the correct answer.
".
1. Find the value of 1.01 -0.1 -0.001 + 10
A. 9.999
B. 0
C.-10.yuy'
D. 8,999 E. I
2 Express 0.0496837 to 3 places of decimals.
A. 0.0497
E. 11520 kg.
14. A bicycle wheel is 28 in. in diameter.
revolutions does it make per mile?
A BOU
8. 63
C. 2260
D. 2300
E. 720
15. Find the values of acute angle
tan 02 cot 03
A. 63 26.25"
How many
such that
B. 45 63°26
225
C. 45.63° 26', 225°
243° 26'
D. 80° 65° 401
·E. 45° 63° 261
6. IT A=246° 52', and cos A =
find sin A,
Q.. 10 yr.
R. 14.2. Fr.
S. 20 Fr...
T. no answWA
28. A aeroplane flying horizontally passes, vertically
above a man's heads; ten seconds later he notes that its elevation is 60° When will it be 30°
P. 20 sec. more Q. 30 sec. more
R. sec. more
S. 20 sec. more
T. none of the above
29. Paper ruted with parallel lines inch apart is
used to divide a line AB, 4 inches long, draw on tracing paper into 7 equal parts. What angle must AB make with the parallel lines?
B. 0.05
C. 0.049
D. 0.0496
E. 0.050
A clock gains 1 min. every 2 days; find the average zain per hour in seconds. correct to 1 place of iocimals.
A. 1.8 sec.
B. 2.0. sec.
C. 2 sec.
D. 3.1 sec.
E. 1.9 sec
4. If sin (x+) = 0:5673, and sin (∞ -/3) = 0.4168,.
find the smallest positive value of nearest minute.
•
A. 4 591
B. 29° 36'
C. 79° 46'
D. 8° 39*
E. 30°
to the
$1Simplify cot⭑A cot*B. - cot A cso*B + cac*A
A. 1
B. tan A tan B
G. 1-tan B
D. sin A cos B
}
E. no shorter for
6. Find the total cost of 1500 lid. stamps and 1500
envelopes at 259. per thousand
P. £11
Q.
3 159.
P.
Q.
7. Pind the area of a sector of circle of radius o cm.
if the angle of the sector is 108"
P. 113 sq.am.
Q. 38.0 sq.cm.
R. 34.0 sq.cm.
S. 37.7 sq.cm.
T: 33.9 sq.cm.
18. A motoržet drives for 2 hr. at 32 mph, and for
half an hour at 42 mph,; find his average speed for the whole journey.
P. 32 mph.
2. 34 mph.
R. 37 mph.
S. 42 mph.
T. no answer
19. The sales of a book in 1961 exceeded those in
1960 by 5%, and the corresponding successive yearly percentage increases for 1962 and 1963 were 10% and 20%. By what percentage did the gales in 1963 exceed those in 1960 ?
P. 38.6%
Q. 35%
R. 20%
S. 46
30
+
P. 45
-Q. 61°
R. 60°
8. 30'
T. no answer
The length of a rod when cut down by 10% is 3 ft.' What would its length have become if it had been. cut down by 20% ?
P. 6 ft.
Q. 2 ft. 8 in. R. 2 ft.
S. 1 ft. 6 in. T. 1 ft.
31. A shop-keeper sells 9/10 of his stock at 25% profit and the rest at 5% loss. What is his cain ner cent on the whole ?
A. 18%
B. 20%
C. 15%
D. 22%
E. 25%
32. By selling an article for $38, a man loses 5%
for what must be sell it to gain 10% ?
A. $38
B. $76
C. $57
D. $50
E. $44
33. The area of a certain parallelogram 19 found by multiplying together the length of two adjacent sides. This makes the answer 20 per cent too Large. What is the acult angle of the figure.
A. 56" 26"
B. 65° 26
.C. 50° 38'
R. 12.59.
S. £ 2s. 6d.
T. none of the above.a
7. A train takes 50 min. for a journey if it runs at
18 mph.
At what rate must it run to reduce the
time by 10 min.
P. 40 mán.
0: 38.4 mph
R. 60 mph
S. 12 mph.
T. 36 mph..
8."A bankrupt owes 6 $2144, C 82130, D $771, E 8315.
'His assets are $1200-. How mich drian Brazaived: 7
P.$214
Q.$480
R.$300
S.8944
T.no answer'
9. If x-sec 8 • tan ê, express x -
in terms of a
P. 2 sec
¡Q. 1-2 tan é
T. 40%
20. What can you say about ✪, if cos ✪ is negative,
tane is positive.
P. 180"> • » '90°
2. 360*>> 270°
R. 90* > > > 0°
S. 270 > > 180° T. no value
21. Find x; given that log cot x"= 1.55
A. 250° 28'
B. 70° 281
C. 7° 48'
́D. 70°*28*
or
187481
E. indefinite
22. In what ratio must coal at 329. ner tòn be mixed
with coal at 44s. per ton to make the mixture worth 36s. 6d. per ton
A. 11:5
D. 56° 30'
E. 90°
34. A book is 4 in. wide, 7 in. nign; it is placed
flat on a level table. Find the angle through which the cover is opened if the angle of slope. of a diagonal of the cover is 25°
A. 50°
B. 25*
C. -58° 23'
D. 46* 37*
E. 61° 91
35. A liquid weighs 7.63 lb. per gall, find its
weight in kg. per litre.
(Given: 1 Ib.⇒ 453.6 gm., 1 cu.ft. 6.228 gall,
1 in.=2.540 cm. }
A. 0.800 kg.
B. 0.763 kg.
C. 0.760 kg.
8. 1+2 sec é
S.-2 tan ✪
IT.sec e
•
tan e
10. Find an equation connecting x,y independent of 8.
* x3 cos è, yw 2'sin
[P. x + y
Q..
R. Z
5. 43+ 9ý*= >«
T. none of the above
11. If I sell my wireless set for $9, I shall lose 64,
bar cent: what did I pay for it "
B. 8:13
C. 3:5
D. 8:9
E. 5:3
23. ABCD is a cyclic quadrilateral; AB5, BC -4,
CD=7, DA=6. Calculate ABC.
A. 110° 47
B. 69° 13'
C. 290* 47
D. 249° 13'
E. 90°
24. Find to 4 figure, the value of 0.1*
A. 10
B. 0.1
c. 1
D. 0.7963
E. 0.8000
D. 0.762 kg.
E. 1 kg.
36. A dog prusues at 18 anh a hare which runs at 14 mphi
the hare has 44 yd, start; after what time will it
caught?
37.
be
P. 22 sec.
Q.
22 구름.
SAM.
13
S. 2
R. 221⁄2 min.
16 sec.
1. no answer
In a race of 100 yd., X beats Y by 10 yd. and beats Z by 16 yd. By how much will Y beats 2 in
race of 100 yd.?
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