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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
-2 -1 0 1 2 3
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. 3
1. A B C D
Choose the correct answer and blacken the circle under the correct answer with an HB pencil.
Q
-2 -1 0 1 2 3
2. Refer to the ANSWER BOOKLET, fill in the boxes with > or < to express the relations between the numbers.
2. i. -120 -250
ii. -3.5 -0.35
＜
＞
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 A Figure B Figure 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, DMust be all correct
3. Which of the following figures must be a regular polygon? (There may be more than one answer.)
Figure A Figure B Figure 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. 2 3 4 1
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.
x -1 0 1y
(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. x -1 0 1y -3 -1 1
(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.
Month January February March April
Number of visitors
2 942 3 128 2 679 3 048
(b) The total number of visitors 3 000 + 3 000 + 3 000 + 3 000 = 12 000
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 3 000
∴The total number of visitors 3 000 × 4 = 12 000
(1) Or other reasonableestimation method
Or
(1) Or other reasonable estimation method
(a) The total number of visitors is around 12 000.
(1*) Estimated value
(1*) Estimated value
(a) The total number of visitors is around 12 000.
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) 38 58 60 62
Number of students 2 6 8 4
Yes.The median is more appropriatethan the mean to represent the average weight of the boys. OrThe 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 $300 000 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 11. units / presentation2. steps3. answer
Method 21. steps2. answer3. units / presentation
10. A sports car costs $300 000 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
= $300 000 × (1 − 10%)3
= $218 700
(1) Or other correct method
(1*)
(1**) Units / presentation
10.
10. A sports car costs $300 000 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 = 90o and AB = AD. Prove that △ABC △ADC.
A
BCD
11. In the figure,∠ACB =∠ACD = 90o and AB = AD. Prove that △ABC △ADC.
A
BCD
11.
Write down your steps and justifications in the box.
∠ ACB =∠ACD = 90o (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 = 90o and AB = AD. Prove that △ABC △ADC.
A
BCD
11.
12. The results of 12 students in the Mathematics Contest were recorded as follows:
88 76 69 78 82 85 92 80 66 75 83 90
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 stem6 6 9789
5 6 80 2 3 5 80 2 (1) All correct (including
lengths of rows of data)
13. The salaries (in $) of 25 employees were recorded by an accountant as follows:
7 500 15 500 8 200 9 100 18 800 14 000 19 500 9 500 12 000 8 600 13 000 17 000 16 000 12 500 13 000 8 800 12 100 19 000 15 000 18 000 16 000 9 600 5 500 10 000 10 700
Complete both frequency distribution tables given in the ANSWER BOOKLET.
13. Table 1
(1) Must be all correct
Salaries ($) Frequency
5 001 - 10 000
10 001 - 15 000
15 001 - 20 000
8
9
8
Record the frequency of the salaries of each employee in the 3 class boundaries.
Salaries ($) Frequency
5 001 – 7 500
7 501 – 10 000
10 001 – 12 500
12 501 – 15 000
15 001 – 17 500
17 501 – 20 000
13. Table 2
2
7
4
4
4
4
Record the frequency of the salaries of each employee in the 6 class boundaries.
(1) Must be all correct
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