【2020】最新美国数学大联盟杯赛五年级试卷

2024年1月10日发(作者：南京五上期中数学试卷)

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【2020】最新美国数学大联盟杯赛五年级试卷

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(初赛时间：2018年11月14日,考试时间90分钟,总分200分)

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1. A 6 by 6 square has the same area as a 4 by ? rectangle.

A) 3

A) 1

B) 6

B) 2

C) 8

C) 3

D) 9

D) 4 or more

2. Every prime has exactly ? positive divisors.

3. If I answered 34 out of 40 questions on my math test correctly, I answered ? % of the questions

correctly.

A) 75

4. 120 ÷ 3 ÷ 4 × 12 =

A) 1

A) 1000

B) 10

B) 10 000

C) 12

C) 100 000

D) 120

D) 1000 000

5. 10 × 20 × 30 × 40 = 24 × ?

6. One of my boxes contains 1 pencil and the others each contain 5 pencils. If there are 101 pencils in

my boxes, how many boxes do I have?

A) 19 B) 20 C) 21 D) 22

7.

of those are damaged. How many light bulbs are not damaged?

A) 25

A) -40

A) 49

B) 504

B) -4

B) 56

C) 1512

C) 4

C) 69

D) 20xx

D) 80

D) 100

8. 50 × (16 + 24) is the square of

9. Which of the following numbers has exactly 3 positive divisors?

10. Ten people stand in a line. Counting from the left, Jerry stands at the 5th position. Counting from

the right, which position is he at?

A) 4

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B) 5 C) 6 D) 7

B) 80 C) 85 D) 90

11. On a teamwork project, Jack contributed 2/7 of the total amount of work, Jill contributed 1/4 of the

work, Pat contributed 1/5 of the work, and Matt contributed the rest. Who contributed the most

toward this project?

A) Jack

A) 5

A) 210

B) Jill

B) 11

B) 215

C) Pat

C) 48

C) 221

D) Matt

D) 99

D) 2120

12. Which of the following numbers is a factor of 20xx?

13. 2 × 4 × 8 × 16 × 32 × 64 =

14. On a game show, Al won four times as much as Bob, and Bob won four times as much as Cy. If Al

won $1536, how much did Al, Bob, and Cy win together?

A) $96

15. cannot be

A) odd

A) 12

A) 3

A) January

A) 36°

A) 12

A) 30

B) even

B) 24

B) 365

B) February

B) 54°

B) 24

B) 60

C) 11

C) 36

C) 1095

C) March

C) 63°

C) 32

C) 90

D) 17

D) not able to be determined

D) 3285

D) April

D) 72°

D) 64

D) 120

16. If a and b are positive integers such that a/b = 5/7, then a + b is

17. What is the greatest odd factor of the number of hours in all the days of the year 20xx?

18. If the current month is February, what month will it be 1 199 999 months from now?

19. ° less than the other. What is the measure of the larger angle?

20. (The square root of 16) + (the cube root of 64) + (the 4th root of 256) =

21. In ∆ABC, m∠A – m∠B = m∠B – m∠C. What is the degree measure of ∠B?

22. For every 3 math books I bought, I bought 2 biology books. I bought 55 books in all. How many of

those are math books?

A) 11

23. ? 1s.

A) 17 B) 19 C) 29 D) 32

24. Weird Town uses three types of currencies: Cons, Flegs, and Sels. If 3 Sels = 9 Cons and 2 Cons =

4 Flegs, then 5 Sels = ? Flegs.

………………………………

………………………………

B) $384 C) $1920 D) $20xx

B) 22 C) 33 D) 44

A) 12 B) 24 C) 30 D) 36

25. If the length of a rectangular prism with volume V is doubled while the width and the height are

halved, the volume of the new prism will be

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A) 4V B) V/2 C) V D) 2V

26. Rick and Roy each stands at different ends of a straight road that is 64 m long. They run toward

each other. Rick’s speed is 3 m/s and Roy’s speed is 5 m/s. They will meet in

seconds.

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