美国数学大联盟杯赛五年级试卷(2020新教材)

2024年1月10日发(作者：新疆大班数学试卷分析与反思)

——教学资料参考参考范本——

美国数学大联盟杯赛五年级试卷(2020新教材)

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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 B) 10 C) 12 D) 120

5.

10 × 20 × 30 × 40 = 24 × ?

A) 1000 B) 10 000 C) 100 000 D) 1000 000

B) 80 C) 85 D) 90

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?

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A) 25 B) 504 C) 1512 D) 20xx

8.

50 × (16 + 24) is the square of

A) -40

A) 49

B) -4

B) 56

C) 4

C) 69

D) 80

D) 100

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 B) 5 C) 6 D) 7

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.

第1页,共4页

Who contributed the most toward this project?

A) Jack B) Jill

C) Pat D) Matt

12.

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

A) 5

A) 210

B) 11

B) 215

C) 48

C) 221

D) 99

D) 2120

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 B) even C) 11 D) 17

16.

If a and b are positive integers such that a/b = 5/7, then

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

a + b is

A) 12

A) 3

B) 24

B) 365

C) 36

C) 1095

D) not able to be determined

D) 3285

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

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18.

If the current month is February, what month will it be 1

199 999 months from now?

A) January

A) 36°

B) February

B) 54°

C) March

C) 63°

D) April

D) 72°

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) =

A) 12 B) 24 C) 32 D) 64

21.

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

measure of ∠B?

A) 30 B) 60 C) 90 D) 120

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

B) 22 C) 33 D) 44

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.

A) 12

………………………………线……………………………………………………………

…………不…………………答…………………题………………………………………

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

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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