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內容節錄：

178 students

St. Stephen's Girls' College

Final Examination 2018-2019

MATHEMATICS

Time Allowed: 1 hour

Please read the following instructions very carefully.

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.

Page 1 of 7

VC, LHK, LL, JSCL, CYN

F.1 Mathematics Paper II Final Examination 2018-2019

Find the L. C. M. of 2x32 and 2² ×5.

Subtract the cube of 3 from 11, and then divide the difference by

2. Find the quotient.

Use an algebraic expression to represent the following:

Divide the sum of p and 4 by the square of m.

Write down the number of terms of

2mn +5mn² nm² +3+3×m.

Solve the following equation:

-5 (2x-3) = 35

Solve the equation 3x-

Formulate an inequality to represent the following:

Half of the sum of 2 and 5x is not less than 80

10. The greatest number of pieces m which a pizza can be divided

into by n cuts can be found by the following formula:

What is the greatest number of pieces that a pizza can be divided

into by 5 cuts?

11. It is known that y is a function of x, and y = 15 + 6x. Find the

value of y when x is-3-

12. Find the obtuse angle formed by the hour hand and the minute

hand at 10: 30.

Three times a certain number is 6 more than 2 times the number. 8.

Find the value of the number.

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F.1 Mathematics Paper II Final Examination 2018-2019

13. What percentage of 65 cm is 260 cm?

14. There are 35 students in a class. If 28 students in the class pass 14.

the Mathematics test, find the percentage of students who fail the

15. Kelvin and Kate order 2 lunch sets of the same price and they

pay $74.8 in total. If a 10% service charge is included, find the

price of a lunch set.

17. If an article is sold for $420, the percentage loss is 30%. Find

the percentage gain if the article is sold at $720.

16. The cost price of a toy car is $210. If it is sold at a profit of 20%, 16.

find the selling price of the toy.

20. In the figure, ZABC is a right angle. Find the value of h.

A shopkeeper offers a sale of 50% off for the purchase of a 18.

second T-shirt. If Mary bought 2 T-shirts which are of the same

price, what is the overall percentage discount she received?

19. Round down 23.486 to 1 decimal place.

21. In the figure, the volume of the prism is 1260 cm³. Find the value 21.

Page 3 of 7

F.1 Mathematics Paper II Final Examination 2018-2019

22. 2700 cm³ of water is poured into an empty container with 22.

uniform thickness as shown. Find the height of the water in the

23. Which of the following points lie on the y-axis?

0 (0, 0), A (-3,0), B (0, 5), C(4, 0)

25. The figure shows a rectangle

24. The coordinates of A and B are (p, 2p + 5) and (3p, p)

respectively. Find the length of AB if AB is parallel to the x-axis.

whose perimeter is 26 units. Find

the coordinates of P.

26. The coordinates of the vertices of APQR are P(3, -3), Q(-4,-6)

and R(3, 5). Find the area of APQR.

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29. The following figure consists of 5 regular hexagons. How many

axes of symmetry does the figure have?

27. A(2, 50°) is a point in a polar coordinate plane. Let O be the pole. 27.

If B is another point in the same polar coordinate plane such that

OA LOB and OB = 3 units, write down one possible answer for

the coordinates of B.

28. In a rectangular coordinate plane, a point P is translated 5 units 28.

to the left to the point Q (3,-4). Find the coordinates of P.

F.1 Mathematics Paper II Final Examination 2018-2019

If the plane figure above is rotated clockwise about the point O

through 270°, which of the following is its image?

31. In the figure, AOB is a straight line.

Find the value of x.

32. In the figure, ACE is a straight line. Find the value of x.

33. In the figure, D is the point on AE. AE // BC and DC // AB.

Find the value of a.

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F.1 Mathematics Paper II Final Examination 2018-2019

34. Find the value of b.

35. In the figure, name a pair of congruent triangles and give

36. In the figure, name a pair of similar triangles and give reasons.

10.5 - 10.9

Distances travelled per

litre of petrol (km)

37. In the figure, AABC~ AEDC. Find the value of x.

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38. The following frequency distribution table shows the distances 38.

travelled (in km) using one litre of petrol of 30 cars. Find the

value of x.

F.1 Mathematics Paper II Final Examination 2018-2019

39. The broken-line graph below shows the number of books

borrowed from the school library from January to June.

Find the average number of books borrowed in March, April,

May and June.

Number of books

Number of books borrowed

from the school library

Jan Feb Mar Apr May Jun

Which of the following scatter diagrams shows a negative 40.

relationship between two sets of data?

- END OF PAPER -

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