2024年3月30日发(作者：升初一撷秀数学试卷)

2013-2014年度美国“数学大联盟杯赛”(中国赛区)初赛答案

(五、六级)

一、 选择题

1. C.

The band’s trombone plays 2013 notes, the trumpet plays 2014 notes, and the tuba plays 218 notes. That

is a total of 2013 + 2014 + 218 = 4245 notes.

A) 6245

B) 6045

C) 4245

D) 645

2. B.

This has the same remainder as 1 divided by 3. The remainder is 1.

A) 0

B) 1

C) 2

D) 3

3. A.

20 − 5 × 2 = 20 − 10 = 10 = 2 × 5.

A) 5

B) 15

C) 25

D) 30

4. D.

(2 × 2) × (2 × 3) × (2 × 4) × (2 × 5) = 2 × 3 × 4 × 5 × (2 × 2 × 2 × 2).

A) 2

B) 6

C) 8

D) 16

5. A.

When I split the cost of a video game equally with 4 friends, we each pay $12. It costs the five of us 5 ×

$12 = $60. If only 4 of us split the cost, we each pay $60 ÷ 4 = $15. We each pay $15 − $12 = $3 more.

A) $3.00

B) $4.00

C) $15.00

D) $16.00

6. C.

At 5:00 P.M. on Friday, Hal got locked in. Since 5040 mins. is 5040 ÷ 60 = 84 hrs., Hal got out in 3 days

12 hrs. That’s Tuesday at 5 A.M.

A) Sunday

B) Monday

C) Tuesday

D) Wednesday

7. A.

1.5 × 20 = 30 = 2 × 15 = 200% of 15.

A) 15

B) 25

C) 30

D) 40

8. C.

The area of four 2 × 8 rectangles is 4 × 16 = 64 = area of one 8 × 8 square.

A) 8

B) 16

C) 32

D) 64

9. B.

The markers numbered 1 through 19 and the markers numbered 81 through 100 are

all more than 30 km from the one numbered 50. That is a total of

19 + 20 = 39 markers.

A) 38

B) 39

C) 40

D) 41

10. A.

Of 60 people, 24 are men and 36 are women. The ratio of men to women at the meeting is 36:24 = 3:2.

A) 3:2

B) 2:3

C) 11:6

D) 6:11

11. A.

I rode my bicycle a total of 450 km in 15 hours. At this rate I would travel 30 km in 1 hour and 15 km in

30 minutes.

A) 15

B) 30

C) 60

D) 900

12. A.

If the sum of 7 consecutive integers is 63, the middle one is 63 ÷ 7 = 9. The desired sum is 6 + 12 = 18.

A) 18

B) 24

C) 42

D) 64


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