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2018-2019年美国“大联盟”(Math League)思维探索活动第一阶段三年级

2024年1月1日发(作者：夜空中最亮的星吉他谱)

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2018-2019年度美国“大联盟”(Math League)思维探索活动第一阶段

(三年级)

(活动日期：2018年11月25日，答题时间：90分钟，总分：200分)

学生诚信协议：答题期间，我确定没有就所涉及的问题或结论，与任何人、用任何方式交流或讨论，

我确定我所填写的答案均为我个人独立完成的成果，否则愿接受本次成绩无效的处罚。

请在装订线内签名表示你同意遵守以上规定。

考前注意事项：

1. 本试卷是三年级试卷，请确保和你的参赛年级一致；

2. 本试卷共4页(正反面都有试题)，请检查是否有空白页，页数是否齐全；

3. 请确保你已经拿到以下材料：

本试卷(共4页，正反面都有试题)、答题卡、答题卡使用说明、英文词汇手册、

草稿纸。试卷、答题卡、答题卡使用说明、草稿纸均不能带走，请留在原地。

4. 本试卷题目很多也很难，期待一名学生所有题目全部答对是不现实的，能够答对一

半题目的学生就应该受到表扬和鼓励。

选择题：每小题

5分，答对加5分，答错不扣分，共200分，答案请填涂在答题卡上。

1. 20 + 20 + 20 = 18 + 18 + ?

A) 14 B) 18 C) 22 D) 24

2. It takes four Beaver Brothers to carry a sharpened stick. How many Beaver Brothers does

it take to carry eight sharpened sticks?

A) 12 B) 18

C) 24 D) 32

3. On a number line, what is the difference between the two numbers that are 20 away from

30?

A) 10 B) 20 C) 40 D) 50

4. Seven weeks = ? days

A) 14 B) 49 C) 77 D) 343

5. Which of the following numbers is a multiple of both 3 and 7?

A) 10 B) 37 C) 42 D) 73

6. Which of the following has the greatest remainder?

A) 3 ÷ 2 B) 11 ÷ 3 C) 13 ÷ 5 D) 15 ÷ 7

7. 20 – 18 + 16 – 14 + 12 – 10 + 8 – 6 + 4 – 2 =

A) 2 × 5 B) 3 × 5 C) 4 × 5 D) 5 × 5

8. Which number is 10 times as large as 2018?

A) 2028 B) 2128 C) 3018 D) 20 180

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9. 100 × 100 + ? = 1000 × 1000

A) 900 B) 9000 C) 99 900 D) 990 000

10. Yogi the Yelling Bear can yell for 15 seconds, but then needs a 10-second

break. For at most how many seconds can he yell in two minutes?

A) 60 B) 75

C) 90 D) 110

11. Which of the following expressions has the lowest value?

A) 1 ÷ (2 ÷ 3) B) (1 ÷ 2) ÷ 3

C) (3 ÷ 2) ÷ 1 D) 3 ÷ (2 ÷ 1)

12. The difference between two odd numbers cannot be

A) 0 B) 6 C) 9 D) 12

13. I have a pizza that can be cut into either 12 equal small slices or

8 equal large slices. If I’ve already cut 4 large slices from the

pizza, how many small slices can I cut from what remains?

A) 2 B) 4

C) 6 D) 8

14. The sum of 4 consecutive odd numbers is 80. What is the greatest of the 4 odd numbers?

A) 21 B) 23 C) 25 D) 27

15. I started with $20.18, and then spent 2 quarters, 0 dimes, 1 nickel, and 8 pennies. How

much money do I have left?

A) $19.55 B) $19.60 C) $19.65 D) $19.75

16. If Cyrus can buy 5 apples for 80 cents, then at that same rate he can buy 9 apples for

A) $0.64 B) $1.44 C) $1.60 D) $1.80

17. It is 1: now. I spent 20 minutes eating and finished eating 200 minutes ago. At

what time did I begin eating?

A) 9: B) 9:

C) 10: D) 10:

18. Eighteen $10 bills and eighteen $100 bills equals

A) $1818 B) $1880 C) $1918 D) $1980

19. My square has an area of 4 cm2. The sides of your square are three times as long as the

sides of my square. Your square has area

A) 9 cm2 B) 16 cm2 C) 24 cm2 D) 36 cm2

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20. There was no snow on the ground on December 31. Each evening

after that, 4 cm of snow fell, and no other snow fell that day. If

2 cm of snow melted each morning, ? cm were on the ground

the afternoon of January 4th.

A) 4 B) 6 C) 8 D) 12

21. The product of 2 ÷ (1 ÷ 4) and 4 ÷ (1 ÷ 2) is

A) 1 B) 4 C) 8 D) 64

22. A carton of milk and a muffin cost $2.60, and the milk costs 40 cents more than the muffin.

How much does the milk cost?

A) $0.75 B) $1.10 C) $1.50 D) $2.20

23. There are 30 students in my class. Eighteen of them can juggle, ten of them

can ride a unicycle, and six of them can do neither. How many can do both?

A) 2 B) 4

C) 6 D) 8

24. (24 + 18 + 12 + 6) ÷ (16 + 12 + 8 + 4) =

A) 1.5 B) 2 C) 4 D) 6

25. A 4 m by 5 m rectangular floor is tiled with square tiles that have sides that are 1 m long.

How many of the tiles are NOT surrounded by other tiles on all four sides?

A) 12 B) 14 C) 16 D) 18

26. Of the following, which has the least value?

A) 5500 ones B) 7 thousands

C) 60 hundreds D) 500 tens

27. Colton ran 1 km on Monday last week, and on each day after that he ran

twice as many km as he had the day before. Cayden runs the same whole

number of km every day. For the 7 days from Monday last week to

Sunday, if Cayden ran more total km than Colton did, Cayden’s daily

run must be at least ? km.

A) 2 B) 7 C) 19 D) 33

28. How many 2-digit whole numbers contain neither the digit 1 nor the digit 2?

A) 56 B) 64 C) 70 D) 80

29. Every time Emma, Gaby, and Rosie play a game, the winner gets a quarter. After 3 games

with no ties, some players may have no quarters, some 1 or 2 quarters, or one may have 3

quarters. In how many ways can the 3 quarters be distributed among the three players?

A) 8 B) 9 C) 10 D) 12

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30. If a teacher gives each of his students 4 crayons from his box of crayons, 16 crayons

remain. If instead he gives each student 6 crayons from this box, 2 crayons remain. How

many students are there?

A) 7 B) 8 C) 12 D) 14

31. Which of the following results in an odd number?

A) even × odd B) odd × even

C) odd + even D) odd + odd

32. Zach multiplied the number on his shirt by itself. What could be his result?

A) 24 B) 25 C) 26 D) 27

33. Find the missing term in the following sequence: 4, 7, 10, 13, _____, 19

A) 3 B) 16 C) 19 D) 23

34. Ella wears different colored sneakers each day of the week, but her sneakers fall apart

after four days of wear! At least how many pairs of sneakers does she need for the month

of December?

A) 7 B) 8 C) 10 D) 12

35. The largest whole-number multiple of 7 less than 100 is

A) 91 B) 93 C) 97 D) 98

36. How many two-digit positive integers can be written using only even numbers?

A) 16 B) 20 C) 25 D) 50

37. Simona has only dimes and quarters, and has exactly one dollar. If she has at least one

dime and one quarter, how many coins must she have?

A) 3 B) 5 C) 7 D) 9

38. How many numbers between 100 and 200 are evenly divisible by 4 and 6?

A) 4 B) 6 C) 8 D) 10

39. In Olive’s kingdom, castles have 8 beds and homes have 2 beds. If there are 48 beds in

total and 3 castles, how many homes are there?

A) 8 B) 12 C) 16 D) 24

40. How many additional 2 × 2 non-overlapping squares can fit into a 6 × 6 square than a

4 × 4 square?

A) 4 B) 5 C) 6 D) 8

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2018-2019年度美国“大联盟”(Math League)思维探索活动第一阶段

三年级试卷答案

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