T$Wsn-Gtrmsin Q'unftxt ZIttI5

April 13,2005

Time: 45 min

The use of calculators orgraph paper is not permifted.

Instructions

1 . You must wait for the contest supervisor's signal before starting the contest'

2. You may use scrap paper, a ruler and a compass to do your worK.

3. Be sure that you understand the coding sysiem of the response form. lf you have any questions, ask the

contest suoervisor.

4. This contest is composed of 30 multiple choice questions. Each question is followed by 5 possible answers:

A, B, C, D and E. There is only one conect answer. when you make your choice, record your answer by

filling in the appropriate circle.

5. lf you change an answer, make sure to erase your first answer completely.

6. Each correct answer is worth one point. Inconect answers will not be penalized.

7. After the supervisor's signal you will have exactly 45 minutes to finish. Do not lose time on a specific problem,

move on to the next one.

8. When you are finished, give the question booklet and the response form to the contest supervisor.

Copyright@ 2005Byron-Germain ContestAll rights reserved.

2. How many2l stamps can you buywith 181?

A)8 B)s c) 16 D)7 E)6

3. The number of hours in one day plus the number of days in one week is equal to

D) 30 E) 31

4. Three hundred sixteen plus two hundred sixty-six is equal to

n\ Eot E\ E7te, ra. Lt rtL

5. The sum of4+4+4+4+4+4 +4+4is

c) 32 D) 24

6. Which of the following is not a prime number?

tr\ .t IA)2 B)5 c)7 D)e

1. 2 + 0 + 0 + 5 = ?

A)7 B)8

A)4

10. 10x9x8=?

A) 620D) 780

c)10 D)0

.A) 11 B) 37 c) 2s

A) 581 B) 580 c) 482

A) 64

The value of (13 - 3) + ( 8 - 3) is

A)20 B)1 c)50

Round 6 789 to the nearest ten

A) 6 780

9. 5+7+9 +11 =4+ 6+8+ 10+?

D)5

n\6

E)6

E) 28

E)2

E) 5 790

E)0

B) 7 000 c) 6 790 D) 6 800

11 . How many blocks are there in the pile?

B)s c)2

B) 72O c) 630E) 640

B) 11 c) 12E) 14

A) 10D) 13

12. Which of the following numbers has the most factors?

A)5D)4

B)7tr\ o

c)8

13. One third of a class of 30 students are girls. Two girls join the class and four boys leave the class.

What fraciion of the class do the boys now represent?

A) 9114 B) 4n c) 3t7 D) 5t14 E) 2r3

14. Lefters A and B represent 2 different digits. What is thesum ofA + B?

A)3D)6

23, The diagram represents the number ofstudents, in Mathilda's class, that haveparticipated in the Fibonacci contest sinceits beginning. The number of studentsthat participated in 2001 represents whatfraction of those that participated in 2002?

A) 1/3 B) 1t2c) 1/5 D) 3/8E) 1t4

BA2B4

20

18

16

14

12

l0

2

o2000 2001 m02 2003 mo4

XB)4

15. lt is 6:54. What time will it be in 330 minutes?20100

A) 11:24 B) 11:54 C) 12:34 D) 12:24 E) 12:54

16. The average of 10 numbers is 5. The average of 5 of these numbers is 6. What is the average ofthe other 5 numbers?

A)5 B)6 c)3 D) 3.5 E) 4

17. The product of 2 prime numbers is equal to 2 005. What is their difference?

A) 200 B) 394 C) 395 D) 496 E) 396

18. lf N is a natural number and N + 3 is an even number, which of the following is an odd number?

A) 2xN B)3xN-2 C)3xN+1 D)N+5 E)2xN+4

19. I have 6 faces, 12 edges and 8 vertices. What am l?

A) cone B) pyramid C) cylinder D) prism E) cube

20. What is the value of N in ihe following equation:13 hundreds + 10 tens + N ones = 1 421?

A) 11 B) 18 c) 20 D) 21 E) 12

21, The six faces of a die are numbered, as shown in the diagram.What is the probability of gefting a number which is divisible by3 when the die is thrown once?

A) 112 B) 1/3 C) 1/6D) 2t3 E) 5/6

22. When a number is tripled and 3 is subiracted from the result,3 is obtained. What is the number?

A)2 B)3 C)0D)18 E) 4

4

? 1 J

4

z

There are 30 classes in Melissa's school. Every class can have a minimum of25 students and amaximum of 30 students. The difference between the maximum and ihe minimum number ofstudents that could be registered at the school is

A) 50 B) 90 C) 150 D) 140 E) 160

25. Mathilda has to number a book of 103 pages. How many digits must be used to do it?

A) 199 B) 200 c) 201 D) 205 E) 208

26. Andrea started eating breakfast at I o'clock. She started eating lunch at 11:'15. Two hours wentby between the time she finished breakfast and the time she started lunch. She took 3 times longerto eat lunch than to eat breakfast. When did she finish lunch?

AA) 11:45D) 12:00

B) 11:30E) 11:15

27. What is the area of the small shaded equilateral triangle.if the area of the large equilateral triangle ABC is 36 cm'?

A) 2 cm2D) 9 cm"

same manner?

A) 169 cm2D) 128 cm'

B) 4 cm2E) 6 cm'

C) 12:15

nr ,l ^-2

C) 64 cm2

28. How many seconds are there in 20 minutes?

A) 1000 B) 120 c) 600 D) 2 400 E) 1 200

29. Yesterday, Andrea bought 2 (, and 3$ stamps for a total of 401. Today, she bought the samenumber of 2l stamps as yesterday, but twice as many 30 stamps as yesterday for a total of 580.How many 3l stamps did she buy yesterday?

A)3 c)6 D)4 E) 12

30. Mathew has drawn squares, as shown in thediagram. Concentrate on the lengih of the sideof each square. What will the area of square Vllbe, if the length of the side of square I is 1 cmand if Mathew continues to draw squares in the

B) 25 cm2.E) 225cm'

IV

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