美国数学大联盟杯赛五年级试卷新版

美国数学大联盟杯赛五年级试卷

(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 B) 6 C) 8 D) 9

2.Every prime has exactly ? positive divisors.

A) 1 B) 2 C) 3 D) 4 or more

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

correctly.

A) 75 B) 80 C) 85 D) 90

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

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 B) 504 C) 1512 D) 20xx

8.50 × (16 + 24) is the square of

A) -40 B) -4 C) 4 D) 80

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

A) 49 B) 56 C) 69 D) 100

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. Who contributed the most toward this project?

第1页,共4页

A) Jack B) Jill C) Pat D) Matt

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

A) 5 B) 11 C) 48 D) 99

13.2 × 4 × 8 × 16 × 32 × 64 =

A) 210B) 215C) 221D) 2120

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

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 a + b is

A) 12 B) 24 C) 36 D) not able to be determined

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

A) 3 B) 365 C) 1095 D) 3285

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

A) January B) February C) March D) April

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

A) 36°B) 54°C) 63°D) 72°

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 B) 22 C) 33 D) 44

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.

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