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2007 小學高年級卷 英文試題(2007 UP English Paper)

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(1)

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(2)

Questions 1 to 10, 3 marks each

1. Which number is made up with 1 hundred, 4 tens and 3 ones?

(A) 413

(B) 143

(C) 341

(D) 1043

(E) 134

2. The missing digit in the following sum is

2

26 + 497 = 703

(A) 0

(B) 1

(C) 3

(D) 7

(E) 9

3. Last Tuesday, a class studied Maths, Music, English and Art in the

proportions indicated in the pie chart.

... ...... ...... ...... ...... ...... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... .... ... .... ... ... .... .... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... .... ... ...... ...... ...... ...... ...... ... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... ... .... .... .... .... ... .... .... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...

Music

English

Art

Maths

Which of the following statements is true?

(A) They spent more time on Music than they did on Art.

(B) They spent more time on Music than they did on English.

(C) They spent more than half the time on Music and English.

(D) They spent more than half the time on Maths and Art.

(E) They spent the same amount of time on Maths as they did at

Art.

4. The value of 14 − 8 ÷ 2 + 2 × 3 is

(3)

UP 2

5. Which is the largest of the following numbers?

(A) thirty hundredths

(B) thirteen hundredths

(C) three tenths

(D) thirty-one hundredths

(E) three hundredths

6. A pyramid has 12 edges. What is the shape of the base?

(A) a triangle

(B) a square

(C) a pentagon

(D) a hexagon

(E) an octagon

7. Ann has a cloth bag with 20 balls, numbered from 1 to 20, in it. She

selects a ball from the bag. Which of the following events is the most

likely?

(A) She selects ball number 1.

(B) She selects an odd-numbered ball.

(C) She selects a ball with the digit 2 in the number.

(D) She selects ball 9 or 10.

(E) She selects ball number 20.

8. While driving from the city to the lake, Karen passes the road sign

shown in the diagram.

City

50 Km

Lake

80 Km

... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...... ...... ...... ......... ... ... ... ... ... ... ... ... ... ... ... ... ... ...

About an hour later she notices a sign indicating she has just 5 km

to go to the lake. How far has she travelled from the city?

(A) 50 km

(B) 80 km

(C) 125 km

(D) 30 km

(E) 65 km

9. At a school, 60% of a Year 6 class were girls. Which of the following

number combinations could not be this class?

(A) 6 boys 9 girls

(B) 10 boys 15 girls

(C) 15 boys 10 girls

(D) 12 boys 18 girls

(E) 12 girls 8 boys

(4)

10. It is now 3:00 pm. On a 24-hour clock, what time will it be in 100

hours?

(A) 7:00 am (B) 3:00 am (C) 7:00 pm (D) 3:00 pm (E) 11:00 pm

Questions 11 to 20, 4 marks each

11. Which of the following shows three-eights of the figure shaded?

(A)

... ... ... ... ... ... ... ... ...... ...... ...... ...... ... ... ... ... ... ...... ... ... ... ...... ...... ......... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...... ......... ... ... . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. . .. . .. .... ... . .. .. .. .. .. .. . .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. . .. .. . .. .. . .. .. .. ... ... . .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. . .. .. .. . .. .. .. .. .. . .. .. .. ... ... . .. .. . .. .. . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. . .. .. .. . .. .. .. .. .. . .. .. .. ... ... . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. ... ... . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. ... ... . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. ... . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. . .. . .. .... ... . .. .. . .. .. . .. .. .. . .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. ... ... . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. . .. .. . .. .. . .. .. .. ...

(B)

... ... ... ... ... ... ... ... ...... ...... ...... ...... ... ... ... ... ... ...... ... ... ... ...... ...... ......... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...... ......... ... ... . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. . .. . .. .... ... . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. ... ... . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. ...

(C)

... ... ... ... ... ... ... ... ...... ...... ...... ...... ... ... ... ... ... ...... ... ... ... ...... ...... ......... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...... ......... ... ... . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. . .. . .. .... ... . .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. ... ...... .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. ...

(D)

... ... ... ... ... ... ... ...... ...... ... ...... ...... ...... ... ... ... ...... ... ... ...... ...... ......... ... ... ... ...... ... ... ... ... ... ... ... ... ... ... ...... ... ... ... ... . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. ... ...... .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. ... ....... .. .. .. .. . .. .. .. .. .. .. . .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. . .. .. .. . .. .. .. .. .. . .. ... ...... .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. . .. .. . .. .. . .. ... ....... .. .. . .. .. . .. .. .. . .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. ...

(E)

... ... ... ... ... ... ... ...... ...... ... ...... ...... ...... ... ... ... ...... ... ... ...... ...... ......... ... ... ... ...... ... ... ... ... ... ... ... ... ... . ...... ...... ... ... ... ...... .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. ... ....... .. .. .. .. . .. .. .. .. .. .. . .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. .. . .. .. .. . .. .. .. . .. .. .. .. .. . .. ... ...... .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. . .. .. . .. .. . .. ... ....... .. .. . .. .. . .. .. .. . .. .. .. . .. .. .. .. .. .. .. .. . .. .. .. .. . .. .. .. .. .. .. .. . .. .. .. .. .. .. .. ...

12. Jane is given a large block of chocolate which is made up of square

pieces and is 6 pieces wide and 8 pieces long.

... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...... ... ... ... ... ... ... ... ... ... ... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... .... ...

6

8

Chocolate

She eats all the outside pieces. What fraction of the block is left?

(A)

1

4

(B)

1

3

(C)

1

2

(D)

2

3

(E)

3

4

(5)

UP 4

13. The game of Four Tofu is played on a 4×4

grid. When completed, each of the

num-bers 1, 2, 3 and 4 occurs in each row and

column of the 4

× 4 grid and also in each

2

× 2 corner of the grid.

When the grid shown is completed, the

sum of the four numbers in the corners of

the 4

× 4 grid is

2

1

1

3

4

(A) 13

(B) 11

(C) 15

(D) 12

(E) 10

14. Abdul’s class has a set of 30 lockers arranged in 3 rows of 10 and

numbered from 1 to 30 starting from the top left hand corner and

counting across each row from left to right until reaching the bottom

right hand corner.

• Abdul has locker No 7.

• Betty’s locker is below Abdul’s and two to the left.

• Cheung has a locker with a number 6 more than Betty’s locker.

• Dilip has a locker two rows above Cheung’s.

• Evita’s locker is five to the right and one below Dilip’s.

Which two students have lockers next to each other?

(A) Abdul and Betty (B) Cheung and Evita (C) Evita and Betty

(D) Dilip and Abdul

(E) Abdul and Cheung

(6)

15. What is the largest two-digit prime number whose digits are also

prime?

(A) 73

(B) 77

(C) 83

(D) 91

(E) 97

16. Four rectangular paths of width 1, 2, 3 and 4 metres are arranged as

shown in the diagram to form a larger rectangular area, 8 m by 12 m,

which borders a smaller internal rectangular lawn.

.. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .

12

-

1

4

3

2

What is the area, in square metres, of the lawn?

(A) 12

(B) 16

(C) 18

(D) 20

(E) 24

17. A rectangular wire grid is made up

of 15 equal squares as shown. If the

length of the grid is 20 cm, what is

the total length, in centimetres, of the

wire in the grid?

-

20

(A) 144

(B) 150

(C) 152

(D) 164

(E) 170

18. In a survey of 50 students, 42 said that they disliked eating spinach,

37 said that they disliked eating cabbage, 31 students said they

dis-liked both spinach and cabbage. How many students dis-liked eating

both spinach and cabbage?

(7)

UP 6

19. Mrs Green witnessed a bank robbery and noticed the getaway car’s

number plate contained the letters M, X and P followed by the digits

1, 2 and 3, but could not remember the order in which they

oc-curred. What is the maximum number of combinations which the

police would need to search through?

(A) 6

(B) 12

(C) 36

(D) 54

(E) 81

20. The numbers 1, 2, 3 and 4 are used to make 2 two-digit numbers. If

you multiplied these two numbers together, the largest possible result

is

(A) 903

(B) 943

(C) 1302

(D) 1312

(E) 1336

Questions 21 to 25, 5 marks each

21. When I opened my new maths book the sum of the two page numbers

facing me was 317. What was the number of the next page?

(A) 158

(B) 159

(C) 160

(D) 261

(E) 328

22. How many three-digit numbers greater than 900 are there that satisfy

the following conditions?

• The sum of the digits is 14.

• The digits are all different.

• The tens digit is an odd number.

(8)

23. The large rectangle P QRS is made up from 3 identical small

rectan-gles as shown and has area 150 square centimetres.

P

Q

R

S

The length, in centimetres, of the shorter side of one of these small

rectangles is

(A) 5

(B) 7

1

2

(C) 10

(D) 12

1

2

(E) 15

24. A square piece of paper is folded along its centre line and then folded

again as shown.



... ... ... ... ... ... ... ... ... .... .... .... .... .... . ... ... ... ... ... ... ... ...

T

S

-... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ......... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...... ...... ...... ..

-T

S

-...... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ...

T

S

A cut is made along the dotted line in the third diagram. Which of

the following could be the shape of the paper when it is unfolded?

(A)

T

(B)

T

(C)

S

(9)

UP 8

25. Ace, Bea, Cec, Dee, Eve, Fie and Geo are 1, 2, 3, 4, 5, 6 and 7 years

old, in some order. Dee is three times as old as Bea. Cec is four

years older than Eve. Fie is older than Ace and Ace is older than

Geo, but the combined ages of Ace and Geo is greater than the age

of Fie. The age of Ace is

(A) 2

(B) 3

(C) 4

(D) 5

(E) 6

For questions 26 to 30, shade the answer as a whole number

from 0 to 999 in the space provided on the answer sheet.

Question 26 is 6 marks, question 27 is 7 marks, question 28 is 8

marks, question 29 is 9 marks and question 30 is 10 marks.

26. P , Q, R and S are towns joined by one way roads as shown in the

diagram.

















P

Q

R

S

...... ...... ......... ... ... ... ... ... ... ... ...... ...... ...... ...... ......... ... ... ... ... ... ... ... ...... ...... ...... ...... ......... ... ... ... ... ... ... ... ...... ...... .

How many routes are there from

P to S, if no road can be used more

than once but towns may be visited more than once?

27. Sally found a 2-digit number that, when multiplied by itself, produced

a number which ended in her 2-digit number. What is the sum of

the numbers which have this property?

28. A 3 unit by 4 unit area on a wall is to be tiled with 1 unit by 2 unit

tiles. The diagram below shows two possible patterns for the tiling.

(10)

29. The diagram below shows five different ways of getting four connected

stamps from a sheet of stamps.

.. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. 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.. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. .. .. .. .. .. . .. .. .. .. ..

In how many different ways is it possible to get four connected stamps

from such a sheet of stamps?

30. A teacher provides four special lessons, one each in Maths, Music,

English and Science, for some of the children in her class. For the

students in these special lessons:

• there are exactly 3 children in each lesson.

• each pair of students attends at least one special lesson together.

What is the largest number of students who can attend these special

lessons?

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