2024年3月21日发(作者：昆明官度区小升初数学试卷)

3

th

Canadian

Mathematics

Competition

Anniversary

5

th

An activity of The Centre for Education

1963 – 1998

in Mathematics and Computing,

University of Waterloo, Waterloo, Ontario

Cayley Contest

(Grade 10)

Wednesday, February 18, 1998

C.M.C. Sponsors:

C.M.C. Supporters:

C.M.C. Contributors:

The Great-West

Life Assurance

IBM

Company

Canada Ltd.

Northern Telecom

(Nortel)

Manulife

Canadian Institute

Financial

of Actuaries

Equitable Life

of Canada

Sybase

Inc. (Waterloo)

Chartered Accountants

Time: 1 hour

© 1998 Waterloo Mathematics Foundation

Calculators are permitted, providing they are non-programmable and without graphic displays.

Instructions

not open the contest booklet until you are told to do so.

may use rulers, compasses and paper for rough work.

sure that you understand the coding system for your response form. If you are not sure, ask your teacher

to clarify it. All coding must be done with a pencil, preferably HB. Fill in circles completely.

your response form, print your school name, city/town, and province in the box in the upper right corner.

certain that you code your name, age, sex, grade, and the contest you are writing on the response

form. Only those who do so can be counted as official contestants.

is a multiple-choice test. Each question is followed by five possible answers marked A, B, C, D, and

E. Only one of these is correct. When you have decided on your choice, fill in the appropriate circles on

the response form.

g:Each correct answer is worth 5 credits in Part A, 6 credits in Part B, and 8 credits in Part C.

There is no penalty for an incorrect answer.

Each unanswered question is worth 2 credits, to a maximum of 20 credits.

ms are not drawn to scale. They are intended as aids only.

your supervisor instructs you to begin, you will have sixty minutes of working time.

Scoring:There is no penalty for an incorrect answer.

Each unanswered question is worth 2 credits, to a maximum of 20 credits.

Part A: Each question is worth 5 credits.

value of

(

0.3

)

2

+0.1

is

(A) 0.7(B) 1(C) 0.1(D) 0.19(E) 0.109

pie chart shows a percentage breakdown of 1000 votes

in a student election. How many votes did Sue receive?

(A) 550(B) 350(C) 330

Sue

Jim

(D) 450(E) 935

20%

Jane

45%

expression

a

9

×

a

15

a

3

is equal to

(A)

a

45

(B)

a

8

(C)

a

18

(D)

a

14

(E)

a

21

product of two positive integers p and q is 100. What is the largest possible value of p+q?

(A) 52(B) 101(C) 20(D) 29(E) 25

the diagram,

ABCD is a rectangle with DC=12. If the

AB

area of triangle BDC is 30, what is the perimeter of

rectangle ABCD?

(A) 34(B) 44(C) 30

(D) 29(E) 60

D

C

x=2 is a solution of the equation qx–3=11, the value of q is

(A) 4(B) 7(C) 14(D)

–7

(E) –4

the diagram,

AB

is parallel to CD. What is the value of

y?

A

x°

x°

B

(A) 75(B) 40(C) 35

(D) 55(E) 50

C

70

˚

y°

D

vertices of a triangle have coordinates

(

1,1

)

,

(

7,1

)

and

(

5,3

)

. What is the area of this triangle?

(A) 12(B) 8(C) 6(D) 7(E) 9

number in an unshaded square is obtained by adding the

numbers connected to it from the row above. (The ‘11’ is one

56x

7

such number.) The value of x must be

11

(A) 4(B) 6(C) 9

(D) 15(E) 10

60


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