1. Which of the following numbers is the most nearest to the number represented by point Q on the number line? A. B. 2 C. D. 3 Q

1. Which of the following number is the most nearest to the number represented by point Q on the number line? A. B. 2 C. D A B C D     Choose the correct answer and blacken the circle under the correct answer with an HB pencil. Q

2. Refer to the ANSWER BOOKLET, fill in the boxes with > or < to express the relations between the numbers.

2. i ii ＜ ＞ Write your answers in the answer boxes. Must be all correct

3. Which of the following figures must be a regular polygon? (There may be more than one answer.) Figure AFigure BFigure C Figure D

3. Regular polygon(s): Write down all the correct answers on the answer line. Note that there may be more than one answer. A, D Must be all correct 3. Which of the following figures must be a regular polygon? (There may be more than one answer.) Figure AFigure BFigure C Figure D

Circling the correct answers in the ANSWER BOOKLET. 4. Determine whether the value in each of the following situations is the exact value or the estimated value. (i) 18 students got prizes in a Mathematics competition. (ii) The utility rate of computers is 80%.

4. * Circle the correct answer. (i) Exact value / Estimated value (ii) Exact value / Estimated value Must be all correct

5. The figure shows the image of a cuboid: In the space provided in the ANSWER BOOKLET, draw the image of a pentagonal prism. (Use solid and dotted lines to represent the edges.) Note the difference between using solid and dotted lines of the cuboid. Draw the correct image according to the requirement in the brackets.

5. The image of a pentagonal prism:

6. A researcher wants to study the Internet usage of secondary school students in Hong Kong. Put the following stages in order. Example: (1)  (2)  (3)  (4) (1) Analyze the data of the charts (2) Hand out questionnaires to collect data (3) Organize the data (4) Present the data by drawing charts Arrange the stages in order according to the correct sequence.

6.    A researcher wants to study the Internet usage of secondary school students in Hong Kong. Put the following stages in order. Example: (1)  (2)  (3)  (4) (1) Analysis the data of the charts (2) Hand out questionnaires to collect data (3) Organize the data (4) Present the data by drawing charts Must be all correct

7. Complete the following table for the equation y = 2x － 1 in the ANSWER BOOKLET: Draw the graph of this equation on the rectangular coordinate plane given in the ANSWER BOOKLET. x01 y

(1) Method: straight line passing through the points in table Use the equation to find the corresponding values of y for each value of x. Mark the points on the rectangular coordinate plane and join them by using a straight line. Remember to write down the equation on the graph. 7. x01 y -31 (1) Must be all correct y = 2x － 1

8. The following table shows the number of visitors signing up in a travel agency from January to April this year. (a) Estimate the total number of visitors signing up in the first four months this year. (b) Explain your method of estimation. MonthJanuaryFebruaryMarchApril Number of visitors

(b) The total number of visitors = Write down the estimated value, reason or method in the space provided. Remember to write down the subheadings. 8. (b) ∵ The number of visitors each month is close to ∴ The total number of visitors × 4 = (1) Or other reasonable estimation method Or (1) Or other reasonable estimation method (a) The total number of visitors is around (1*) Estimated value (a) The total number of visitors is around

9. The following table shows the distribution of the weights of 20 boys in Class 2A. “The average weight of the boys is relatively low since the average weight is only 57.6kg.” said by the PE teacher. Is there any misleading in the statement? Explain your answers. Weight (kg) Number of students2684

Yes. The median is more appropriate than the mean to represent the average weight of the boys. Or The mean is easily affected by extreme values. (1) Reasonable explanation Write down your standpoint in the box and give your reason. No marks will be awarded if no reason is given. 9. (1) Must have explanation

10. A sports car costs $ now. If the value of the sports car depreciates by 10% each year, what will be its value 3 years later?

10. In the space, write down: Method 1 1. units / presentation 2. steps 3. answer Method 2 1. steps 2. answer 3. units / presentation 10. A sports car costs $ now. If the value of the sports car depreciates by 10% each year, what will be its value 3 years later?

The value of the sports car 3 years later = $ × (1 − 10%) 3 = $ (1) Or other correct method (1*) (1**) Units / presentation A sports car costs $ now. If the value of the sports car depreciates by 10% each year, what will be its value 3 years later?

11. In the figure, ∠ ACB = ∠ ACD = 90 o and AB = AD. Prove that △ ABC △ ADC. A B C D

A B C D 11. Write down your steps and justifications in the box.

∠ ACB = ∠ ACD = 90 o (given) AB = AD (given) AC = AC (common side) ∴ △ ABC △ ADC (RHS) (1) Correct steps (1) Correct justifications (with correct steps) (1) Correct conclusion (with correct steps) Accept other correct methods 11. In the figure, ∠ ACB = ∠ ACD = 90 o and AB = AD. Prove that △ ABC △ ADC. A B C D 11.

12. The results of 12 students in the Mathematics Contest were recorded as follows: According to the data, complete the stem-and-leaf diagram in the ANSWER BOOKLET.

The results of 12 students in the Mathematics Contest Stem (10 marks) Leaf (1 mark) 12. Rearrange the data in ascending orders. Fill in the tables in the format of stem-and-leaf. (1) Correct leaves (before sorting) (1) Correct stem (1) All correct (including lengths of rows of data)

13. The salaries (in $) of 25 employees were recorded by an accountant as follows: Complete both frequency distribution tables given in the ANSWER BOOKLET.

13. Table 1 (1) Must be all correct Salaries ($)Frequency Record the frequency of the salaries of each employee in the 3 class boundaries.

Salaries ($)Frequency – – – – – – Table Record the frequency of the salaries of each employee in the 6 class boundaries. (1) Must be all correct