2024年4月5日发(作者：世星瑶)

INTERNATIONAL CONTEST-GAME

MATH KANGAROO

CANADA, 2017

INSTRUCTIONS

GRADE 5-6

have 75 minutes to solve 30 multiple choice problems. For each problem, circle only

one of the proposed five choices. If you circle more than one choice, your response will be

marked as wrong.

your answers in the response form. Remember that this is the only sheet that is

marked, so make sure you have all your answers transferred here by the end of the contest.

problems are arranged in three groups. A correct answer of the first 10 problems is

worth 3 points. A correct answer of problems 11-20 is worth 4 points. A correct answer of

problems 21-30 is worth 5 points. For each incorrect answer, one point is deducted from

your score. Each unanswered question is worth 0 points. To avoid negative scores, you start

from 30 points. The maximum score possible is 150.

ators and graph paper are not permitted. You are allowed to use rough paper for draft

work.

figures are not drawn to scale. They should be used only for illustration.

er, you have about 2-3 minutes for each problem; hence, if a problem appears to

be too difficult, save it for later and move on to the other problems.

the end of the allotted time, please submit the response form to the contest supervisor.

Please do not forget to pick up your Certificate of Participation!

Good luck! Canadian Math Kangaroo Contest team

2017 CMKC locations: Algoma University; Bishop's University; Brandon University; Brock University; Carlton

University; Concordia University; Concordia University of Edmonton; Coquitlam City Library; Dalhousie University;

Evergreen Park School; F.H. Sherman Recreation & Learning Centre; GAD Elementary School; Grande Prairie

Regional College; Humber College; Lakehead University (Orillia and Thunder Bay); Laurentian University; MacEwan

University; Memorial University of Newfoundland; Mount Allison University; Mount Royal University; Nipissing

University; St. Mary’s University (Calgary); St. Peter’s College; The Renert School at Royal Vista; Trent University;

University of Alberta-Augustana Campus; University of British Columbia (Okanagan); University of Guelph;

University of Lethbridge; University of New Brunswick; University of Prince Edward Island; University of Quebec at

Chicoutimi; University of Quebec at Rimouski; University of Regina; University of Toronto Mississauga; University of

Toronto Scarborough; University of Toronto St. George; University of Windsor; The University of Western Ontario;

University of Winnipeg; Vancouver Island University; Walter Murray Collegiate, Wilfrid Laurier University; YES

Education Centre; York University; Yukon College.

2017 CMKC supporters: Laurentian University; Canadian Mathematical Society; IEEE; PIMS.

Grade 5-6

2017

Canadian Math Kangaroo Contest

Part A: Each correct answer is worth 3 points

1. A fly has 6 legs, a spider has 8 legs. Together, 3 flies and 2 spiders have as many legs as 9 chickens and

several cats. How many cats are there?

(A) 2 cats (B) 3 cats (C) 4 cats (D) 5 cats (E) 6 cats

Alice has 4 pieces of this shape: . Which picture can she not make from these four pieces? 2.

(A) (B) (C)

3.

4.

(D) (E)

Kalle knows that 1111 × 1111 = 1234321. What is the answer of 1111 × 2222?

(A) 3456543 (B) 2346642 (C)2457642 (D) 2468642 (E) 4321234

There are 10 islands and 12 bridges, as depicted in the figure. All bridges

are open for traffic right now. What is the smallest number of bridges that

must be closed in order to stop the traffic between A and B?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

5. Martin wants to colour the squares of the rectangle so that 1/3 of all

squares are blue and half of all squares are yellow. The rest of the squares

are to be coloured red.

How many squares will he colour red?

(A) 1 (B) 2 (C) 3

(D) 4 (E) 5

6. When the car wheels make one full rotation the car moves forward by about 1.8 meters. Approximately

how many kilometres will the car move forward after 10,000 full rotations of the wheels?

(A) 1.8 (B) 18 (C) 180 (D) 1 800 (E) 18 000

Copyright © Canadian Math Kangaroo Contest. All rights reserved.

This material may be reproduced only with the permission of the Canadian Math Kangaroo Contest Corporation. Page 1

2024年4月5日发(作者：世星瑶)

INTERNATIONAL CONTEST-GAME

MATH KANGAROO

CANADA, 2017

INSTRUCTIONS

GRADE 5-6

have 75 minutes to solve 30 multiple choice problems. For each problem, circle only

one of the proposed five choices. If you circle more than one choice, your response will be

marked as wrong.

your answers in the response form. Remember that this is the only sheet that is

marked, so make sure you have all your answers transferred here by the end of the contest.

problems are arranged in three groups. A correct answer of the first 10 problems is

worth 3 points. A correct answer of problems 11-20 is worth 4 points. A correct answer of

problems 21-30 is worth 5 points. For each incorrect answer, one point is deducted from

your score. Each unanswered question is worth 0 points. To avoid negative scores, you start

from 30 points. The maximum score possible is 150.

ators and graph paper are not permitted. You are allowed to use rough paper for draft

work.

figures are not drawn to scale. They should be used only for illustration.

er, you have about 2-3 minutes for each problem; hence, if a problem appears to

be too difficult, save it for later and move on to the other problems.

the end of the allotted time, please submit the response form to the contest supervisor.

Please do not forget to pick up your Certificate of Participation!

Good luck! Canadian Math Kangaroo Contest team

2017 CMKC locations: Algoma University; Bishop's University; Brandon University; Brock University; Carlton

University; Concordia University; Concordia University of Edmonton; Coquitlam City Library; Dalhousie University;

Evergreen Park School; F.H. Sherman Recreation & Learning Centre; GAD Elementary School; Grande Prairie

Regional College; Humber College; Lakehead University (Orillia and Thunder Bay); Laurentian University; MacEwan

University; Memorial University of Newfoundland; Mount Allison University; Mount Royal University; Nipissing

University; St. Mary’s University (Calgary); St. Peter’s College; The Renert School at Royal Vista; Trent University;

University of Alberta-Augustana Campus; University of British Columbia (Okanagan); University of Guelph;

University of Lethbridge; University of New Brunswick; University of Prince Edward Island; University of Quebec at

Chicoutimi; University of Quebec at Rimouski; University of Regina; University of Toronto Mississauga; University of

Toronto Scarborough; University of Toronto St. George; University of Windsor; The University of Western Ontario;

University of Winnipeg; Vancouver Island University; Walter Murray Collegiate, Wilfrid Laurier University; YES

Education Centre; York University; Yukon College.

2017 CMKC supporters: Laurentian University; Canadian Mathematical Society; IEEE; PIMS.

Grade 5-6

2017

Canadian Math Kangaroo Contest

Part A: Each correct answer is worth 3 points

1. A fly has 6 legs, a spider has 8 legs. Together, 3 flies and 2 spiders have as many legs as 9 chickens and

several cats. How many cats are there?

(A) 2 cats (B) 3 cats (C) 4 cats (D) 5 cats (E) 6 cats

Alice has 4 pieces of this shape: . Which picture can she not make from these four pieces? 2.

(A) (B) (C)

3.

4.

(D) (E)

Kalle knows that 1111 × 1111 = 1234321. What is the answer of 1111 × 2222?

(A) 3456543 (B) 2346642 (C)2457642 (D) 2468642 (E) 4321234

There are 10 islands and 12 bridges, as depicted in the figure. All bridges

are open for traffic right now. What is the smallest number of bridges that

must be closed in order to stop the traffic between A and B?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

5. Martin wants to colour the squares of the rectangle so that 1/3 of all

squares are blue and half of all squares are yellow. The rest of the squares

are to be coloured red.

How many squares will he colour red?

(A) 1 (B) 2 (C) 3

(D) 4 (E) 5

6. When the car wheels make one full rotation the car moves forward by about 1.8 meters. Approximately

how many kilometres will the car move forward after 10,000 full rotations of the wheels?

(A) 1.8 (B) 18 (C) 180 (D) 1 800 (E) 18 000

Copyright © Canadian Math Kangaroo Contest. All rights reserved.

This material may be reproduced only with the permission of the Canadian Math Kangaroo Contest Corporation. Page 1