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內容節錄：

174 students

Evaluate 21-31-

-[1-1 × (3-5)].

St. Stephen's Girls' College

Final Examination 2016-2017

(-4)+(-6)(-2)

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.

Simplify 3xxx-12x÷2+9x².

John is 3d years old, and his grandfather is 4d times as old as

him. Express the age of John's grandfather in terms of d.

Use an algebraic expression to represent 'Subtract the product of 3..

2 and y from x'.

It is given that the general term of a sequence is

10th term of the sequence.

If 35% of n is 112, find n.

A pack of seed A costs $60 while a pack of seed B costs $80. If a 6.

farmer uses $1500 to buy 20 packs of seed, how many packs of

seed A does the farmer buy?

VC, LHK, KAL, CYN

In a school, there are 1000 students and 48% of them are boys. If 9.

60% of boys and 45% of girls wear glasses, find the total number

of students who do not wear glasses.

F.1 Mathematics Paper II Final Examination 2016-2017

10. There were 160 members in the choir last year. If the number of

choir members this year is 120, find the percentage change.

11. A dress marked at $560 is sold at a discount of 25%. Find the

selling price of the dress.

12. The marked price of a doll is 150% higher than its cost price.

The doll is sold at a discount of 15% for $255. Find the cost price

of the doll.

13. Estimate the value of 57.8 x 2.37 by front-end method.

14. The price of a box of chocolate is $49. If Susan has $1502,

estimate the number of boxes of chocolate Susan can buy.

15. Lily bought 18 jars of orange juice. The volume of the orange

juice in each jar is 375 mL. She poured all the orange juice into

a container of capacity 8000 mL. By rounding up the volume of

the orange juice in each jar to the nearest 100 mL, estimate the

total volume of orange juice in the container.

16. The figure shows a parallelogram. Find the value of x.

17. In the figure, ABCD is a square. If the area of the trapezium

EBFD is 40 cm², find the area of the square ABCD.

18. Find the total surface area of the following prism.

F.1 Mathematics Paper II Final Examination 2016-2017

19. Find the base area of the following prism.

20. In the figure, the rectangular container (without a lid) is made of 20.

glass of 4 cm thick. Find the volume of the glass required to

make the container.

21. A rectangular tank of length 50 cm and width 20 cm is filled with 21.

some water. 100 bricks, each of volume 4 cm³, are put into the

water. If all the bricks are totally immersed into the water and no

water overflows, find the rise in water level.

Which of the following points lie on the x-axis?

A(0, 3), B(2, 0), C(3,-2), D(-4, 0), E(0, −5), F(0, 0)

23. A(3, 20°), B(5, 80°) and C(5, 110°) are three points in a polar

coordinate plane with the pole O.

(a) Write down the relationship between the lengths of OB and

(b) Find ZAOB.

(c) Which angle is a right angle?

24. What is the least number of square(s) to be added to the figure so

that the dotted line becomes the axis of symmetry of the whole

25. Given that C is reflected in the y-axis to a point D(-3, -4), find

the coordinates of C.

F.1 Mathematics Paper II Final Examination 2016-2017

The above figure is formed by 16 identical squares. If the

rectangle ABLK is rotated anticlockwise about the point M

through 90°, write down the name of the rectangle that represents

27. The figure shows ALMO in a rectangular coordinate plane. It is

reflected in the straight line to AL'M'O'.

Draw the image AL'M'O' in the figure.

In the figure, AEB and CED are straight lines. Find .x.

29. In the figure, CDB is a straight line. Find the unknowns.

F.1 Mathematics Paper II Final Examination 2016-2017

30. In the figure, AFB and EFC are straight lines. Find x.

(a) x = 36°

(b) AB // FC

(c) FEB= 70°

31. In the figure, BED and CEF are straight lines. Determine

whether the following statements are true or false. Circle the

correct answers.

32. Determine which two of the following triangles are congruent

and give reasons.

33. It is given that AABC = ADFE. If ZA = 52° and ZC = 46°,

34. In the figure, AB and CD intersect at O. Name a pair of similar

triangles and give reasons.

35. In the figure, ADB is a straight line and ZBAC = ZBCD. It is

given that AD = x, BD = 10 and BC = 12. Find the value of x.

F.1 Mathematics Paper II Final Examination 2016-2017

36. Determine whether the following data are discrete or continuous.

Circle the correct answers.

(a) The numbers of family members of the students in a school

(b) The body temperatures of the students in a school

37. The broken line graph below shows the number of visitors of a

city from 2012 to 2016.

Number of visitors of a city from

2012 to 2016

visitors (million)

2012 2013 2014 2015 2016

Determine whether the following statements are true or false.

Circle the correct answers.

(a) The total number of visitors to the city from 2012 to 2016 is

13.9 million.

The decrease in the number of visitors was the greatest from

2013 to 2014.

(c) The number of visitors in 2014 was 10% lower than that in

38. It is given that y increases when x increases. Which of the

following scatter diagrams may represent the relationship

between x and y?

- END OF PAPER -

(a) discrete / continuous

(b) discrete / continuous

(a) true false

(b) true false

(c) true false